%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET134-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 : Tue May 21 03:16:22 EDT 2024

% Result   : Unsatisfiable 141.82s 20.60s
% Output   : Refutation 142.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      : 1462
% Syntax   : Number of formulae    : 5536 ( 117 unt;   0 def)
%            Number of atoms       : 23710 (2357 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 32507 (14333   ~;16800   |;   0   &)
%                                         (1374 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :   28 (   4 avg)
%            Number of predicates  : 1385 (1383 usr;1375 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;  11 con; 0-3 aty)
%            Number of variables   : 7706 (7706   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f123157,plain,
    $false,
    inference(avatar_sat_refutation,[],[f173,f178,f183,f187,f192,f196,f200,f204,f208,f213,f218,f222,f226,f231,f235,f239,f243,f247,f251,f255,f259,f266,f270,f274,f278,f282,f286,f290,f294,f298,f302,f306,f320,f324,f328,f337,f342,f367,f371,f375,f384,f388,f392,f396,f400,f404,f408,f423,f438,f442,f447,f458,f462,f466,f471,f475,f479,f488,f492,f501,f505,f509,f523,f527,f538,f542,f550,f555,f559,f569,f574,f578,f582,f587,f603,f609,f613,f617,f623,f629,f636,f645,f651,f655,f659,f663,f677,f686,f690,f704,f713,f717,f721,f725,f763,f784,f788,f792,f796,f813,f824,f828,f837,f846,f850,f854,f858,f893,f897,f901,f910,f914,f968,f972,f976,f980,f1022,f1026,f1030,f1034,f1087,f1091,f1095,f1120,f1124,f1128,f1133,f1137,f1156,f1160,f1191,f1203,f1207,f1211,f1215,f1255,f1259,f1263,f1267,f1271,f1279,f1283,f1305,f1330,f1334,f1347,f1353,f1392,f1398,f1403,f1434,f1447,f1453,f1472,f1491,f1495,f1539,f1546,f1574,f1600,f1616,f1620,f1654,f1658,f1742,f1748,f1755,f1764,f1774,f1784,f1839,f1848,f1852,f1856,f1900,f1913,f1926,f1930,f1943,f1951,f1955,f1969,f1978,f1988,f1997,f2001,f2006,f2013,f2019,f2023,f2050,f2055,f2058,f2059,f2152,f2156,f2166,f2195,f2199,f2212,f2241,f2248,f2253,f2257,f2268,f2279,f2283,f2319,f2323,f2327,f2331,f2339,f2343,f2357,f2361,f2365,f2369,f2389,f2402,f2406,f2413,f2418,f2429,f2445,f2477,f2582,f2586,f2594,f2600,f2604,f2606,f2621,f2625,f2629,f2661,f2690,f2694,f2698,f2702,f2707,f2745,f2750,f2758,f2835,f2861,f2877,f2882,f2886,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f3094,f3098,f3113,f3117,f3134,f3142,f3147,f3160,f3166,f3170,f3220,f3226,f3230,f3234,f3238,f3242,f3246,f3250,f3254,f3463,f3468,f3472,f3476,f3480,f3484,f3488,f3492,f3496,f3500,f3504,f3508,f3516,f3520,f3524,f3528,f3532,f3536,f3540,f3544,f3548,f3553,f3975,f3980,f3987,f3991,f3995,f3999,f4003,f4007,f4011,f4015,f4019,f4023,f4024,f4041,f4050,f4054,f4186,f4260,f4604,f4609,f4616,f4620,f4624,f4628,f4632,f4636,f4640,f4641,f4753,f4762,f4769,f4773,f4777,f4781,f4785,f4789,f4790,f4798,f4799,f4843,f4849,f4853,f4859,f4871,f4879,f4894,f4897,f4934,f5518,f5523,f5635,f5644,f5650,f5655,f5659,f5667,f5671,f5676,f5741,f5745,f5749,f5753,f5758,f5767,f5773,f5786,f6350,f6354,f6358,f6365,f6491,f6496,f6570,f6574,f6734,f6801,f6808,f6838,f6842,f6847,f6854,f6868,f6877,f6881,f6885,f6890,f6950,f7078,f7100,f7104,f7110,f7133,f7137,f7141,f7145,f7150,f7154,f7158,f7162,f7166,f7175,f7178,f7191,f7600,f7604,f7610,f7673,f7677,f7681,f7686,f7822,f7826,f7830,f7834,f7838,f7842,f7846,f7851,f7864,f7869,f7889,f7893,f7898,f8287,f8291,f8295,f8299,f8312,f8321,f8326,f8330,f8334,f8338,f8342,f8347,f8413,f8418,f8499,f9062,f9069,f9073,f9081,f9085,f9089,f9093,f9130,f9136,f9145,f9149,f9154,f9167,f9171,f9175,f9179,f9183,f9187,f9191,f9195,f9199,f9203,f9207,f9212,f9217,f9543,f9642,f9646,f9652,f9716,f9722,f9756,f9768,f9776,f9809,f9813,f9819,f9852,f9860,f9866,f9875,f9881,f9886,f9971,f9975,f9981,f10029,f10034,f10099,f10107,f10112,f10119,f10127,f10133,f10137,f10141,f10145,f10150,f10273,f10277,f10281,f10287,f10328,f10333,f10338,f10361,f10366,f10387,f10392,f10446,f10450,f10454,f10458,f10463,f10548,f10553,f10558,f10603,f10664,f10672,f10713,f10790,f10799,f10807,f10811,f10816,f10832,f10837,f10851,f10859,f10871,f10879,f10883,f10992,f10997,f11012,f11017,f11021,f11037,f11041,f11045,f11051,f11060,f11064,f11069,f11086,f11090,f11095,f11160,f11165,f11223,f11228,f11293,f11298,f11302,f11358,f11363,f11431,f11437,f11441,f11446,f11451,f11493,f11498,f11505,f11509,f11572,f11587,f11600,f11608,f11614,f11681,f11737,f11784,f11861,f12376,f12380,f12768,f13075,f13079,f13083,f13087,f13204,f13208,f13257,f13261,f13265,f13434,f13439,f13589,f13595,f13602,f13606,f13610,f13614,f13618,f13622,f13656,f14056,f14060,f14076,f14080,f14185,f14189,f14215,f14223,f14227,f14234,f14248,f14252,f14274,f14278,f14282,f14313,f14317,f14321,f14421,f14426,f14430,f14434,f14480,f14484,f14488,f14492,f14496,f14785,f14789,f14825,f14829,f14833,f14837,f14841,f14845,f15116,f15193,f15197,f15210,f15217,f15258,f15262,f15266,f15270,f15292,f15351,f15355,f15359,f15363,f15367,f15402,f15462,f15466,f15470,f15474,f15478,f15482,f15486,f15490,f15739,f15813,f15835,f15839,f16013,f16017,f16021,f16025,f16054,f16305,f16312,f16349,f16362,f16368,f16372,f16476,f16485,f16491,f16495,f16509,f16519,f16525,f16530,f16611,f16663,f16670,f16677,f16684,f16718,f16722,f16969,f16973,f17227,f17233,f17264,f17275,f17280,f17285,f17289,f17293,f17297,f17302,f17428,f17432,f17440,f17478,f17483,f17487,f17491,f17497,f17501,f17505,f17535,f17571,f17579,f17669,f17675,f17679,f17758,f17767,f17772,f17780,f17826,f17830,f17837,f17858,f18220,f18231,f18235,f18255,f18259,f18268,f18273,f18292,f18296,f18300,f18304,f18332,f18336,f18340,f18380,f18395,f18410,f18420,f18425,f18473,f18477,f18482,f18491,f18516,f18651,f18827,f18832,f18840,f18850,f18857,f18989,f18994,f19003,f19010,f19015,f19031,f19035,f19562,f19601,f19605,f19617,f19631,f19648,f19670,f19674,f19678,f19725,f19730,f19742,f19746,f19900,f19929,f19933,f19937,f20119,f20185,f20267,f20334,f20338,f20342,f20394,f20414,f20446,f20451,f20483,f20509,f20537,f20545,f20554,f20561,f20565,f20614,f20619,f20657,f20677,f20699,f20725,f20730,f21000,f21005,f21010,f21015,f21019,f21094,f21100,f21105,f21125,f21131,f21165,f21174,f21178,f21180,f21248,f21253,f21257,f21331,f21335,f21339,f21397,f21404,f21410,f21414,f21453,f21493,f21568,f21574,f21578,f21589,f21624,f21640,f21644,f21648,f21722,f21728,f21738,f21742,f21747,f21752,f21756,f21896,f21945,f21995,f22006,f22042,f22047,f22052,f22057,f22069,f22106,f22110,f22114,f22190,f22195,f22200,f22897,f22953,f23028,f23068,f23110,f23115,f23129,f23133,f23138,f23142,f23146,f23150,f23264,f23556,f23561,f23565,f23569,f23679,f23683,f23939,f23944,f24027,f24054,f24731,f24736,f24783,f24788,f24793,f24797,f24899,f25099,f25103,f25193,f25198,f25203,f25208,f25213,f25218,f25222,f25227,f25231,f25235,f25239,f25243,f25247,f25777,f25783,f26000,f26008,f26069,f26078,f26082,f26144,f26152,f26160,f26168,f26176,f26188,f26331,f27062,f27479,f27483,f27487,f27872,f27876,f27880,f27884,f27888,f27892,f28283,f28363,f28368,f28406,f28411,f28449,f28454,f28748,f28753,f28873,f28879,f28913,f28919,f28995,f29005,f29009,f29155,f29161,f29234,f29243,f29377,f29382,f29384,f29389,f29396,f29455,f29471,f29516,f29522,f29526,f29532,f29536,f29540,f29547,f29602,f29610,f29618,f29623,f29677,f29681,f29687,f29691,f29699,f29766,f29774,f29840,f29845,f29851,f29859,f29867,f29875,f29881,f29912,f29919,f29924,f29970,f29986,f30029,f30096,f30101,f30183,f30246,f30251,f30328,f30338,f30343,f30348,f31144,f31154,f31159,f31163,f31208,f31209,f31479,f31731,f31736,f31741,f31746,f31891,f31897,f31898,f31911,f31917,f31921,f31922,f31927,f31936,f31943,f31945,f31951,f31957,f31962,f31967,f31971,f31980,f31988,f31990,f32025,f32031,f32035,f32194,f32199,f32205,f32209,f32217,f32246,f32251,f32255,f32259,f32263,f32267,f32312,f32413,f32423,f33234,f33238,f33265,f33276,f33291,f33292,f33959,f33965,f33971,f33975,f34245,f34795,f34800,f34837,f36537,f36610,f36633,f36635,f36961,f36967,f37095,f37261,f37276,f37281,f37288,f37327,f37344,f37411,f37416,f37421,f37425,f37573,f37577,f37741,f37775,f37779,f37783,f37787,f37951,f37955,f37959,f37963,f37967,f37971,f38277,f38313,f38626,f38833,f38863,f38867,f39104,f39207,f39220,f39221,f39234,f39720,f39724,f39728,f39735,f39740,f39744,f39748,f39752,f39756,f39760,f39764,f39769,f39773,f39970,f39974,f39976,f40006,f40011,f40013,f40035,f40586,f40641,f40647,f40653,f40760,f40764,f40845,f40846,f41062,f41135,f41154,f41158,f41194,f41209,f41267,f41315,f41319,f41429,f41433,f41434,f41530,f41662,f41695,f41697,f41897,f47394,f47538,f47551,f52498,f52506,f53593,f53596,f53821,f53822,f53919,f54284,f54353,f54936,f55129,f55139,f55299,f55323,f55324,f55351,f55469,f55623,f55625,f55635,f55666,f55910,f55972,f55989,f55991,f56146,f56151,f56355,f56362,f56393,f56399,f56521,f56522,f56523,f56524,f56529,f56552,f56559,f56566,f56601,f56603,f64059,f64065,f64067,f65657,f65793,f66097,f67186,f67189,f73655,f73778,f73788,f73792,f73797,f73798,f73946,f73951,f74033,f74173,f74203,f74547,f74561,f74731,f74737,f74793,f74812,f74989,f75175,f75181,f75191,f75192,f75587,f76850,f77123,f77276,f77475,f77479,f77702,f86588,f86620,f86638,f86708,f86713,f87214,f88389,f89346,f96293,f98605,f100956,f109942,f112058,f112241,f112276,f112324,f112351,f112704,f113567,f113584,f113712,f113730,f113736,f113741,f113746,f113751,f113775,f113781,f113786,f113795,f113797,f114076,f114081,f114091,f114121,f114123,f114127,f114129,f114311,f114456,f114503,f114515,f114520,f114625,f114660,f114661,f114672,f114683,f114688,f114694,f114698,f114702,f114703,f114750,f114751,f114752,f114947,f114954,f114959,f114973,f114977,f114981,f115020,f115406,f115411,f115419,f115512,f115517,f115523,f115528,f115533,f115600,f115694,f115744,f115745,f115751,f115759,f115767,f115787,f115792,f115798,f115914,f115941,f115947,f115952,f115957,f115964,f115969,f116201,f116208,f116655,f116719,f116727,f116736,f116838,f117013,f117018,f117023,f117030,f117036,f117040,f117044,f117049,f117054,f117060,f117064,f117068,f117072,f117081,f117085,f117094,f117213,f117217,f117224,f117234,f117239,f117245,f117249,f117253,f117257,f117261,f117267,f117330,f117331,f117332,f117333,f117334,f117700,f118099,f118130,f118136,f118151,f118156,f118160,f118174,f118179,f118187,f118227,f118232,f118239,f118247,f118253,f118260,f118265,f118275,f118287,f118391,f118398,f118406,f118412,f118419,f118421,f118426,f118430,f118445,f118447,f118469,f118470,f118500,f118531,f118775,f118781,f118787,f118788,f118811,f118933,f118940,f118969,f119017,f119022,f119023,f119113,f119404,f119411,f119415,f119421,f119425,f119431,f119436,f119441,f119447,f119468,f119475,f119490,f119500,f119516,f119521,f119527,f119532,f119554,f121779,f121833,f121848,f121913,f121966,f121971,f121975,f122274,f122358,f122419,f122515,f122635,f122987,f123154]) ).

fof(f123154,plain,
    ( ~ spl0_1370
    | ~ spl0_1374 ),
    inference(avatar_contradiction_clause,[],[f123134]) ).

fof(f123134,plain,
    ( $false
    | ~ spl0_1370
    | ~ spl0_1374 ),
    inference(resolution,[],[f122986,f121974]) ).

fof(f121974,plain,
    ( ! [X0] : member(u,X0)
    | ~ spl0_1370 ),
    inference(avatar_component_clause,[],[f121973]) ).

fof(f121973,plain,
    ( spl0_1370
  <=> ! [X0] : member(u,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1370])]) ).

fof(f122986,plain,
    ( ! [X0] : ~ member(u,X0)
    | ~ spl0_1374 ),
    inference(avatar_component_clause,[],[f122985]) ).

fof(f122985,plain,
    ( spl0_1374
  <=> ! [X0] : ~ member(u,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1374])]) ).

fof(f122987,plain,
    ( spl0_1374
    | ~ spl0_18
    | ~ spl0_1370 ),
    inference(avatar_split_clause,[],[f122388,f121973,f245,f122985]) ).

fof(f245,plain,
    ( spl0_18
  <=> ! [X4,X0] :
        ( ~ member(X4,X0)
        | ~ member(X4,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f122388,plain,
    ( ! [X0] : ~ member(u,X0)
    | ~ spl0_18
    | ~ spl0_1370 ),
    inference(resolution,[],[f121974,f246]) ).

fof(f246,plain,
    ( ! [X0,X4] :
        ( ~ member(X4,complement(X0))
        | ~ member(X4,X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f122635,plain,
    ( spl0_507
    | ~ spl0_4
    | ~ spl0_1159 ),
    inference(avatar_split_clause,[],[f121828,f55297,f185,f9868]) ).

fof(f9868,plain,
    ( spl0_507
  <=> member(subset_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f185,plain,
    ( spl0_4
  <=> ! [X0] : subclass(X0,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f55297,plain,
    ( spl0_1159
  <=> ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1159])]) ).

fof(f121828,plain,
    ( member(subset_relation,universal_class)
    | ~ spl0_4
    | ~ spl0_1159 ),
    inference(resolution,[],[f55298,f186]) ).

fof(f186,plain,
    ( ! [X0] : subclass(X0,universal_class)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f55298,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(subset_relation,X0) )
    | ~ spl0_1159 ),
    inference(avatar_component_clause,[],[f55297]) ).

fof(f122515,plain,
    ( ~ spl0_507
    | spl0_1373
    | spl0_902
    | ~ spl0_65
    | ~ spl0_167
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f121799,f2205,f1489,f520,f22894,f122512,f9868]) ).

fof(f122512,plain,
    ( spl0_1373
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1373])]) ).

fof(f22894,plain,
    ( spl0_902
  <=> identity_relation = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).

fof(f520,plain,
    ( spl0_65
  <=> subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1489,plain,
    ( spl0_167
  <=> ! [X0,X1] :
        ( ~ member(intersection(X0,X1),universal_class)
        | intersection(X0,X1) = null_class
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2205,plain,
    ( spl0_215
  <=> null_class = identity_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f121799,plain,
    ( identity_relation = subset_relation
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ member(subset_relation,universal_class)
    | ~ spl0_65
    | ~ spl0_167
    | ~ spl0_215 ),
    inference(forward_demodulation,[],[f1514,f2207]) ).

fof(f2207,plain,
    ( null_class = identity_relation
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f2205]) ).

fof(f1514,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | null_class = subset_relation
    | ~ member(subset_relation,universal_class)
    | ~ spl0_65
    | ~ spl0_167 ),
    inference(superposition,[],[f1490,f522]) ).

fof(f522,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f1490,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X1)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class) )
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1489]) ).

fof(f122419,plain,
    ( spl0_767
    | ~ spl0_1370 ),
    inference(avatar_contradiction_clause,[],[f122359]) ).

fof(f122359,plain,
    ( $false
    | spl0_767
    | ~ spl0_1370 ),
    inference(resolution,[],[f121974,f18263]) ).

fof(f18263,plain,
    ( ~ member(u,domain_of(regular(cross_product(subset_relation,universal_class))))
    | spl0_767 ),
    inference(avatar_component_clause,[],[f18261]) ).

fof(f18261,plain,
    ( spl0_767
  <=> member(u,domain_of(regular(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).

fof(f122358,plain,
    ( ~ spl0_1218
    | spl0_1372
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f118869,f9850,f4891,f2205,f1850,f1276,f122356,f113738]) ).

fof(f113738,plain,
    ( spl0_1218
  <=> member(second(identity_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1218])]) ).

fof(f122356,plain,
    ( spl0_1372
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1372])]) ).

fof(f1276,plain,
    ( spl0_148
  <=> 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,[spl0_148])]) ).

fof(f1850,plain,
    ( spl0_186
  <=> ! [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))),rotate(X3))
        | ~ 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(X0,X0))),X3)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f4891,plain,
    ( spl0_366
  <=> member(unordered_pair(first(null_class),first(null_class)),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f9850,plain,
    ( spl0_503
  <=> ! [X0] :
        ( ~ member(X0,null_class)
        | u = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f118869,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | ~ member(second(identity_relation),universal_class)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f118868,f9916]) ).

fof(f9916,plain,
    ( u = unordered_pair(first(null_class),first(null_class))
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(resolution,[],[f9851,f4893]) ).

fof(f4893,plain,
    ( member(unordered_pair(first(null_class),first(null_class)),null_class)
    | ~ spl0_366 ),
    inference(avatar_component_clause,[],[f4891]) ).

fof(f9851,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | u = X0 )
    | ~ spl0_503 ),
    inference(avatar_component_clause,[],[f9850]) ).

fof(f118868,plain,
    ( ! [X0,X1] :
        ( ~ member(second(identity_relation),universal_class)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215 ),
    inference(forward_demodulation,[],[f118867,f2207]) ).

fof(f118867,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215 ),
    inference(forward_demodulation,[],[f118866,f2207]) ).

fof(f118866,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),unordered_pair(second(null_class),second(null_class)))),rotate(X1))
        | ~ member(second(null_class),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215 ),
    inference(forward_demodulation,[],[f4816,f2207]) ).

fof(f4816,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),unordered_pair(second(null_class),second(null_class)))),rotate(X1))
        | ~ member(second(null_class),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186 ),
    inference(superposition,[],[f1851,f1278]) ).

fof(f1278,plain,
    ( 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))))
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f1851,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(X0,X0))),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))),rotate(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1850]) ).

fof(f122274,plain,
    ( spl0_1371
    | ~ spl0_1218
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f119596,f9850,f4891,f2205,f1850,f1276,f113738,f122272]) ).

fof(f122272,plain,
    ( spl0_1371
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1371])]) ).

fof(f119596,plain,
    ( ! [X0,X1] :
        ( ~ member(second(identity_relation),universal_class)
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f119595,f2207]) ).

fof(f119595,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f119594,f2207]) ).

fof(f119594,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11543,f2207]) ).

fof(f11543,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(null_class),second(null_class)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11542,f9916]) ).

fof(f11542,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(null_class),second(null_class)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4816,f9916]) ).

fof(f121975,plain,
    ( spl0_1370
    | ~ spl0_150
    | ~ spl0_1138 ),
    inference(avatar_split_clause,[],[f115643,f39972,f1303,f121973]) ).

fof(f1303,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f39972,plain,
    ( spl0_1138
  <=> ! [X0] : subclass(null_class,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1138])]) ).

fof(f115643,plain,
    ( ! [X0] : member(u,X0)
    | ~ spl0_150
    | ~ spl0_1138 ),
    inference(resolution,[],[f39973,f1304]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(u,X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f39973,plain,
    ( ! [X0] : subclass(null_class,X0)
    | ~ spl0_1138 ),
    inference(avatar_component_clause,[],[f39972]) ).

fof(f121971,plain,
    ( spl0_1369
    | ~ spl0_215
    | ~ spl0_600 ),
    inference(avatar_split_clause,[],[f119581,f11598,f2205,f121969]) ).

fof(f121969,plain,
    ( spl0_1369
  <=> ! [X0,X1] :
        ( member(identity_relation,compose(X0,X1))
        | identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1369])]) ).

fof(f11598,plain,
    ( spl0_600
  <=> ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | member(null_class,compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f119581,plain,
    ( ! [X0,X1] :
        ( member(identity_relation,compose(X0,X1))
        | identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))) )
    | ~ spl0_215
    | ~ spl0_600 ),
    inference(forward_demodulation,[],[f119580,f2207]) ).

fof(f119580,plain,
    ( ! [X0,X1] :
        ( identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | member(null_class,compose(X0,X1)) )
    | ~ spl0_215
    | ~ spl0_600 ),
    inference(forward_demodulation,[],[f11599,f2207]) ).

fof(f11599,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | member(null_class,compose(X0,X1)) )
    | ~ spl0_600 ),
    inference(avatar_component_clause,[],[f11598]) ).

fof(f121966,plain,
    ( spl0_1368
    | ~ spl0_215
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f119560,f11606,f2205,f121964]) ).

fof(f121964,plain,
    ( spl0_1368
  <=> ! [X0] :
        ( member(identity_relation,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0))
        | identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1368])]) ).

fof(f11606,plain,
    ( spl0_602
  <=> ! [X0] :
        ( null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f119560,plain,
    ( ! [X0] :
        ( member(identity_relation,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0))
        | identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class) )
    | ~ spl0_215
    | ~ spl0_602 ),
    inference(forward_demodulation,[],[f119559,f2207]) ).

fof(f119559,plain,
    ( ! [X0] :
        ( identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0)) )
    | ~ spl0_215
    | ~ spl0_602 ),
    inference(forward_demodulation,[],[f11607,f2207]) ).

fof(f11607,plain,
    ( ! [X0] :
        ( null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0)) )
    | ~ spl0_602 ),
    inference(avatar_component_clause,[],[f11606]) ).

fof(f121913,plain,
    ( spl0_1141
    | ~ spl0_6
    | ~ spl0_1233 ),
    inference(avatar_split_clause,[],[f114673,f114670,f194,f40644]) ).

fof(f40644,plain,
    ( spl0_1141
  <=> member(subset_relation,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1141])]) ).

fof(f194,plain,
    ( spl0_6
  <=> ! [X1] : subclass(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f114670,plain,
    ( spl0_1233
  <=> ! [X0] :
        ( ~ subclass(identity_relation,X0)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1233])]) ).

fof(f114673,plain,
    ( member(subset_relation,identity_relation)
    | ~ spl0_6
    | ~ spl0_1233 ),
    inference(resolution,[],[f114671,f195]) ).

fof(f195,plain,
    ( ! [X1] : subclass(X1,X1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f114671,plain,
    ( ! [X0] :
        ( ~ subclass(identity_relation,X0)
        | member(subset_relation,X0) )
    | ~ spl0_1233 ),
    inference(avatar_component_clause,[],[f114670]) ).

fof(f121848,plain,
    ( spl0_1367
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f119686,f9850,f5779,f4891,f2205,f121845]) ).

fof(f121845,plain,
    ( spl0_1367
  <=> second(identity_relation) = complement(intersection(complement(first(identity_relation)),complement(u))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1367])]) ).

fof(f5779,plain,
    ( spl0_388
  <=> second(null_class) = complement(intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f119686,plain,
    ( second(identity_relation) = complement(intersection(complement(first(identity_relation)),complement(u)))
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f116640,f2207]) ).

fof(f116640,plain,
    ( second(null_class) = complement(intersection(complement(first(null_class)),complement(u)))
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f5781,f9916]) ).

fof(f5781,plain,
    ( second(null_class) = complement(intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | ~ spl0_388 ),
    inference(avatar_component_clause,[],[f5779]) ).

fof(f121833,plain,
    ( spl0_1235
    | ~ spl0_215
    | ~ spl0_601 ),
    inference(avatar_split_clause,[],[f119462,f11602,f2205,f114685]) ).

fof(f114685,plain,
    ( spl0_1235
  <=> member(second(identity_relation),domain_of(domain_of(flip(cross_product(identity_relation,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1235])]) ).

fof(f11602,plain,
    ( spl0_601
  <=> member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f119462,plain,
    ( member(second(identity_relation),domain_of(domain_of(flip(cross_product(identity_relation,universal_class)))))
    | ~ spl0_215
    | ~ spl0_601 ),
    inference(forward_demodulation,[],[f11603,f2207]) ).

fof(f11603,plain,
    ( member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
    | ~ spl0_601 ),
    inference(avatar_component_clause,[],[f11602]) ).

fof(f121779,plain,
    ( ~ spl0_593
    | ~ spl0_1353 ),
    inference(avatar_contradiction_clause,[],[f121773]) ).

fof(f121773,plain,
    ( $false
    | ~ spl0_593
    | ~ spl0_1353 ),
    inference(resolution,[],[f11491,f119420]) ).

fof(f119420,plain,
    ( ! [X0] : ~ member(subset_relation,X0)
    | ~ spl0_1353 ),
    inference(avatar_component_clause,[],[f119419]) ).

fof(f119419,plain,
    ( spl0_1353
  <=> ! [X0] : ~ member(subset_relation,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1353])]) ).

fof(f11491,plain,
    ( member(subset_relation,cross_product(universal_class,universal_class))
    | ~ spl0_593 ),
    inference(avatar_component_clause,[],[f11490]) ).

fof(f11490,plain,
    ( spl0_593
  <=> member(subset_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f119554,plain,
    ( ~ spl0_1294
    | ~ spl0_1353 ),
    inference(avatar_contradiction_clause,[],[f119534]) ).

fof(f119534,plain,
    ( $false
    | ~ spl0_1294
    | ~ spl0_1353 ),
    inference(resolution,[],[f119420,f117084]) ).

fof(f117084,plain,
    ( ! [X0] : member(subset_relation,X0)
    | ~ spl0_1294 ),
    inference(avatar_component_clause,[],[f117083]) ).

fof(f117083,plain,
    ( spl0_1294
  <=> ! [X0] : member(subset_relation,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1294])]) ).

fof(f119532,plain,
    ( spl0_1366
    | ~ spl0_33
    | ~ spl0_777 ),
    inference(avatar_split_clause,[],[f18386,f18378,f318,f119530]) ).

fof(f119530,plain,
    ( spl0_1366
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ member(u,X0)
        | ~ subclass(element_relation,X1)
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1366])]) ).

fof(f318,plain,
    ( spl0_33
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | ~ member(X2,X0)
        | member(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f18378,plain,
    ( spl0_777
  <=> ! [X0] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).

fof(f18386,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ member(u,X0)
        | ~ subclass(element_relation,X1)
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),X1) )
    | ~ spl0_33
    | ~ spl0_777 ),
    inference(resolution,[],[f18379,f319]) ).

fof(f319,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X0)
        | ~ subclass(X0,X1)
        | member(X2,X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f18379,plain,
    ( ! [X0] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(u,X0) )
    | ~ spl0_777 ),
    inference(avatar_component_clause,[],[f18378]) ).

fof(f119527,plain,
    ( spl0_1365
    | ~ spl0_33
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f11577,f11569,f318,f119525]) ).

fof(f119525,plain,
    ( spl0_1365
  <=> ! [X0] :
        ( ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))),X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1365])]) ).

fof(f11569,plain,
    ( spl0_596
  <=> member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f11577,plain,
    ( ! [X0] :
        ( ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))),X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_596 ),
    inference(resolution,[],[f11571,f319]) ).

fof(f11571,plain,
    ( member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_596 ),
    inference(avatar_component_clause,[],[f11569]) ).

fof(f119521,plain,
    ( spl0_1364
    | ~ spl0_98
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f2779,f2696,f761,f119519]) ).

fof(f119519,plain,
    ( spl0_1364
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,complement(complement(unordered_pair(u,u))))
        | ~ member(regular(X0),universal_class)
        | member(regular(X0),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1364])]) ).

fof(f761,plain,
    ( spl0_98
  <=> ! [X0] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | member(X0,complement(unordered_pair(u,u))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2696,plain,
    ( spl0_257
  <=> ! [X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | null_class = X0
        | ~ member(regular(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f2779,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,complement(complement(unordered_pair(u,u))))
        | ~ member(regular(X0),universal_class)
        | member(regular(X0),null_class) )
    | ~ spl0_98
    | ~ spl0_257 ),
    inference(resolution,[],[f2697,f762]) ).

fof(f762,plain,
    ( ! [X0] :
        ( member(X0,complement(unordered_pair(u,u)))
        | ~ member(X0,universal_class)
        | member(X0,null_class) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f2697,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(X0),X1)
        | null_class = X0
        | ~ subclass(X0,complement(X1)) )
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f2696]) ).

fof(f119516,plain,
    ( spl0_1363
    | ~ spl0_28
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2345,f330,f288,f119513]) ).

fof(f119513,plain,
    ( spl0_1363
  <=> member(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1363])]) ).

fof(f288,plain,
    ( spl0_28
  <=> ! [X4,X0,X1] :
        ( member(X4,X1)
        | ~ member(X4,intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f330,plain,
    ( spl0_36
  <=> member(null_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2345,plain,
    ( member(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
    | ~ spl0_28
    | ~ spl0_36 ),
    inference(resolution,[],[f331,f289]) ).

fof(f289,plain,
    ( ! [X0,X1,X4] :
        ( ~ member(X4,intersection(X0,X1))
        | member(X4,X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f331,plain,
    ( member(null_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f119500,plain,
    ( spl0_1362
    | ~ spl0_215
    | ~ spl0_1355 ),
    inference(avatar_split_clause,[],[f119432,f119429,f2205,f119498]) ).

fof(f119498,plain,
    ( spl0_1362
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1362])]) ).

fof(f119429,plain,
    ( spl0_1355
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1355])]) ).

fof(f119432,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_215
    | ~ spl0_1355 ),
    inference(forward_demodulation,[],[f119430,f2207]) ).

fof(f119430,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_1355 ),
    inference(avatar_component_clause,[],[f119429]) ).

fof(f119490,plain,
    ( spl0_1361
    | ~ spl0_33
    | ~ spl0_1359 ),
    inference(avatar_split_clause,[],[f119471,f119465,f318,f119488]) ).

fof(f119488,plain,
    ( spl0_1361
  <=> ! [X0] :
        ( ~ subclass(domain_of(domain_of(flip(identity_relation))),X0)
        | member(second(identity_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1361])]) ).

fof(f119465,plain,
    ( spl0_1359
  <=> member(second(identity_relation),domain_of(domain_of(flip(identity_relation)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1359])]) ).

fof(f119471,plain,
    ( ! [X0] :
        ( ~ subclass(domain_of(domain_of(flip(identity_relation))),X0)
        | member(second(identity_relation),X0) )
    | ~ spl0_33
    | ~ spl0_1359 ),
    inference(resolution,[],[f119467,f319]) ).

fof(f119467,plain,
    ( member(second(identity_relation),domain_of(domain_of(flip(identity_relation))))
    | ~ spl0_1359 ),
    inference(avatar_component_clause,[],[f119465]) ).

fof(f119475,plain,
    ( spl0_1360
    | ~ spl0_215
    | ~ spl0_602
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f119461,f18488,f11606,f2205,f119473]) ).

fof(f119473,plain,
    ( spl0_1360
  <=> ! [X0] :
        ( member(identity_relation,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class)),X0))
        | identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1360])]) ).

fof(f18488,plain,
    ( spl0_786
  <=> subset_relation = u ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).

fof(f119461,plain,
    ( ! [X0] :
        ( member(identity_relation,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class)),X0))
        | identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class) )
    | ~ spl0_215
    | ~ spl0_602
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f119460,f2207]) ).

fof(f119460,plain,
    ( ! [X0] :
        ( member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class)),X0))
        | identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class) )
    | ~ spl0_215
    | ~ spl0_602
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f119459,f18490]) ).

fof(f18490,plain,
    ( subset_relation = u
    | ~ spl0_786 ),
    inference(avatar_component_clause,[],[f18488]) ).

fof(f119459,plain,
    ( ! [X0] :
        ( identity_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0)) )
    | ~ spl0_215
    | ~ spl0_602
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f119458,f2207]) ).

fof(f119458,plain,
    ( ! [X0] :
        ( null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0)) )
    | ~ spl0_602
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f11607,f18490]) ).

fof(f119468,plain,
    ( spl0_1359
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_601
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(avatar_split_clause,[],[f119463,f117083,f18488,f11602,f3977,f2205,f1135,f119465]) ).

fof(f1135,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ member(X0,domain_of(regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3977,plain,
    ( spl0_325
  <=> null_class = unordered_pair(u,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f119463,plain,
    ( member(second(identity_relation),domain_of(domain_of(flip(identity_relation))))
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_601
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(forward_demodulation,[],[f119462,f117389]) ).

fof(f117389,plain,
    ( identity_relation = cross_product(identity_relation,universal_class)
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(forward_demodulation,[],[f117388,f2207]) ).

fof(f117388,plain,
    ( null_class = cross_product(null_class,universal_class)
    | ~ spl0_134
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(forward_demodulation,[],[f117323,f74837]) ).

fof(f74837,plain,
    ( null_class = unordered_pair(subset_relation,subset_relation)
    | ~ spl0_325
    | ~ spl0_786 ),
    inference(superposition,[],[f3979,f18490]) ).

fof(f3979,plain,
    ( null_class = unordered_pair(u,u)
    | ~ spl0_325 ),
    inference(avatar_component_clause,[],[f3977]) ).

fof(f117323,plain,
    ( null_class = cross_product(unordered_pair(subset_relation,subset_relation),universal_class)
    | ~ spl0_134
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f1136]) ).

fof(f1136,plain,
    ( ! [X0] :
        ( ~ member(X0,domain_of(regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f119447,plain,
    ( ~ spl0_1218
    | spl0_1358
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | spl0_601
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(avatar_split_clause,[],[f118896,f117083,f18488,f11602,f3977,f2205,f1135,f490,f390,f119444,f113738]) ).

fof(f119444,plain,
    ( spl0_1358
  <=> identity_relation = intersection(domain_of(flip(identity_relation)),cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1358])]) ).

fof(f390,plain,
    ( spl0_44
  <=> ! [X5,X1,X0] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f490,plain,
    ( spl0_61
  <=> ! [X4,X0] :
        ( ~ member(X4,universal_class)
        | member(X4,domain_of(X0))
        | null_class = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f118896,plain,
    ( identity_relation = intersection(domain_of(flip(identity_relation)),cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class))
    | ~ member(second(identity_relation),universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | spl0_601
    | ~ spl0_786
    | ~ spl0_1294 ),
    inference(forward_demodulation,[],[f118895,f117389]) ).

fof(f118895,plain,
    ( identity_relation = intersection(domain_of(flip(cross_product(identity_relation,universal_class))),cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class))
    | ~ member(second(identity_relation),universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_215
    | spl0_601 ),
    inference(forward_demodulation,[],[f118894,f2207]) ).

fof(f118894,plain,
    ( null_class = intersection(domain_of(flip(cross_product(null_class,universal_class))),cross_product(unordered_pair(second(null_class),second(null_class)),universal_class))
    | ~ member(second(identity_relation),universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_215
    | spl0_601 ),
    inference(forward_demodulation,[],[f118893,f391]) ).

fof(f391,plain,
    ( ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f118893,plain,
    ( ~ member(second(identity_relation),universal_class)
    | null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(null_class,universal_class))))
    | ~ spl0_61
    | ~ spl0_215
    | spl0_601 ),
    inference(forward_demodulation,[],[f11610,f2207]) ).

fof(f11610,plain,
    ( ~ member(second(null_class),universal_class)
    | null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(null_class,universal_class))))
    | ~ spl0_61
    | spl0_601 ),
    inference(resolution,[],[f11604,f491]) ).

fof(f491,plain,
    ( ! [X0,X4] :
        ( member(X4,domain_of(X0))
        | ~ member(X4,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f11604,plain,
    ( ~ member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
    | spl0_601 ),
    inference(avatar_component_clause,[],[f11602]) ).

fof(f119441,plain,
    ( spl0_1357
    | ~ spl0_785
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56037,f18488,f18484,f119438]) ).

fof(f119438,plain,
    ( spl0_1357
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1357])]) ).

fof(f18484,plain,
    ( spl0_785
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).

fof(f56037,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_785
    | ~ spl0_786 ),
    inference(superposition,[],[f18486,f18490]) ).

fof(f18486,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),u)
    | ~ spl0_785 ),
    inference(avatar_component_clause,[],[f18484]) ).

fof(f119436,plain,
    ( spl0_1356
    | ~ spl0_776
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56034,f18488,f18338,f119434]) ).

fof(f119434,plain,
    ( spl0_1356
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),successor_relation)
        | complement(intersection(complement(subset_relation),complement(subset_relation))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1356])]) ).

fof(f18338,plain,
    ( spl0_776
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),successor_relation)
        | complement(intersection(complement(u),complement(subset_relation))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).

fof(f56034,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),successor_relation)
        | complement(intersection(complement(subset_relation),complement(subset_relation))) = X0 )
    | ~ spl0_776
    | ~ spl0_786 ),
    inference(superposition,[],[f18339,f18490]) ).

fof(f18339,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),successor_relation)
        | complement(intersection(complement(u),complement(subset_relation))) = X0 )
    | ~ spl0_776 ),
    inference(avatar_component_clause,[],[f18338]) ).

fof(f119431,plain,
    ( spl0_1355
    | ~ spl0_56
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f11616,f11612,f469,f119429]) ).

fof(f469,plain,
    ( spl0_56
  <=> ! [X0,X3,X2,X1] :
        ( member(X3,X1)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f11612,plain,
    ( spl0_603
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f11616,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_603 ),
    inference(resolution,[],[f11613,f470]) ).

fof(f470,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
        | member(X3,X1) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f11613,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_603 ),
    inference(avatar_component_clause,[],[f11612]) ).

fof(f119425,plain,
    ( spl0_1354
    | ~ spl0_1
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f7453,f7152,f170,f119423]) ).

fof(f119423,plain,
    ( spl0_1354
  <=> ! [X0,X1] :
        ( u = not_subclass_element(unordered_pair(u,X0),X1)
        | member(u,X1)
        | not_subclass_element(unordered_pair(u,X0),X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1354])]) ).

fof(f170,plain,
    ( spl0_1
  <=> member(u,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f7152,plain,
    ( spl0_420
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X0,X2)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f7453,plain,
    ( ! [X0,X1] :
        ( u = not_subclass_element(unordered_pair(u,X0),X1)
        | member(u,X1)
        | not_subclass_element(unordered_pair(u,X0),X1) = X0 )
    | ~ spl0_1
    | ~ spl0_420 ),
    inference(resolution,[],[f7153,f172]) ).

fof(f172,plain,
    ( member(u,universal_class)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f7153,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X0,X2)
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1 )
    | ~ spl0_420 ),
    inference(avatar_component_clause,[],[f7152]) ).

fof(f119421,plain,
    ( spl0_1353
    | ~ spl0_18
    | ~ spl0_1294 ),
    inference(avatar_split_clause,[],[f117301,f117083,f245,f119419]) ).

fof(f117301,plain,
    ( ! [X0] : ~ member(subset_relation,X0)
    | ~ spl0_18
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f246]) ).

fof(f119415,plain,
    ( spl0_1352
    | ~ spl0_1
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f7375,f7143,f170,f119413]) ).

fof(f119413,plain,
    ( spl0_1352
  <=> ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,u),X1) = X0
        | member(u,X1)
        | u = not_subclass_element(unordered_pair(X0,u),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1352])]) ).

fof(f7143,plain,
    ( spl0_418
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X1,X2)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f7375,plain,
    ( ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,u),X1) = X0
        | member(u,X1)
        | u = not_subclass_element(unordered_pair(X0,u),X1) )
    | ~ spl0_1
    | ~ spl0_418 ),
    inference(resolution,[],[f7144,f172]) ).

fof(f7144,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,universal_class)
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X1,X2)
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1 )
    | ~ spl0_418 ),
    inference(avatar_component_clause,[],[f7143]) ).

fof(f119411,plain,
    ( ~ spl0_1351
    | ~ spl0_215
    | ~ spl0_325
    | spl0_1350 ),
    inference(avatar_split_clause,[],[f119406,f119401,f3977,f2205,f119408]) ).

fof(f119408,plain,
    ( spl0_1351
  <=> subclass(universal_class,complement(complement(identity_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1351])]) ).

fof(f119401,plain,
    ( spl0_1350
  <=> subclass(universal_class,complement(complement(unordered_pair(u,u)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1350])]) ).

fof(f119406,plain,
    ( ~ subclass(universal_class,complement(complement(identity_relation)))
    | ~ spl0_215
    | ~ spl0_325
    | spl0_1350 ),
    inference(forward_demodulation,[],[f119405,f2207]) ).

fof(f119405,plain,
    ( ~ subclass(universal_class,complement(complement(null_class)))
    | ~ spl0_325
    | spl0_1350 ),
    inference(forward_demodulation,[],[f119403,f3979]) ).

fof(f119403,plain,
    ( ~ subclass(universal_class,complement(complement(unordered_pair(u,u))))
    | spl0_1350 ),
    inference(avatar_component_clause,[],[f119401]) ).

fof(f119404,plain,
    ( spl0_1349
    | ~ spl0_1350
    | ~ spl0_98
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2494,f2400,f761,f119401,f119398]) ).

fof(f119398,plain,
    ( spl0_1349
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),universal_class)
        | member(unordered_pair(X0,X1),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1349])]) ).

fof(f2400,plain,
    ( spl0_237
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(unordered_pair(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f2494,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(complement(unordered_pair(u,u))))
        | ~ member(unordered_pair(X0,X1),universal_class)
        | member(unordered_pair(X0,X1),null_class) )
    | ~ spl0_98
    | ~ spl0_237 ),
    inference(resolution,[],[f2401,f762]) ).

fof(f2401,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(X1,X2),X0)
        | ~ subclass(universal_class,complement(X0)) )
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f2400]) ).

fof(f119113,plain,
    ( spl0_1348
    | ~ spl0_215
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f119024,f7598,f2205,f119111]) ).

fof(f119111,plain,
    ( spl0_1348
  <=> ! [X0] :
        ( identity_relation = intersection(flip(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,subset_relation)
        | member(X0,identity_relation)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1348])]) ).

fof(f7598,plain,
    ( spl0_427
  <=> ! [X0] :
        ( null_class = intersection(flip(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,subset_relation)
        | member(X0,identity_relation)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f119024,plain,
    ( ! [X0] :
        ( identity_relation = intersection(flip(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,subset_relation)
        | member(X0,identity_relation)
        | ~ member(X0,universal_class) )
    | ~ spl0_215
    | ~ spl0_427 ),
    inference(forward_demodulation,[],[f7599,f2207]) ).

fof(f7599,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | null_class = intersection(flip(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(X0,X0),universal_class))
        | member(X0,identity_relation)
        | ~ member(X0,universal_class) )
    | ~ spl0_427 ),
    inference(avatar_component_clause,[],[f7598]) ).

fof(f119023,plain,
    ( spl0_742
    | ~ spl0_215
    | ~ spl0_575
    | ~ spl0_1067 ),
    inference(avatar_split_clause,[],[f113824,f32202,f11084,f2205,f17480]) ).

fof(f17480,plain,
    ( spl0_742
  <=> subclass(subset_relation,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).

fof(f11084,plain,
    ( spl0_575
  <=> ! [X0] : subclass(intersection(subset_relation,X0),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f32202,plain,
    ( spl0_1067
  <=> subset_relation = intersection(subset_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).

fof(f113824,plain,
    ( subclass(subset_relation,identity_relation)
    | ~ spl0_215
    | ~ spl0_575
    | ~ spl0_1067 ),
    inference(forward_demodulation,[],[f37866,f2207]) ).

fof(f37866,plain,
    ( subclass(subset_relation,null_class)
    | ~ spl0_575
    | ~ spl0_1067 ),
    inference(superposition,[],[f11085,f32204]) ).

fof(f32204,plain,
    ( subset_relation = intersection(subset_relation,subset_relation)
    | ~ spl0_1067 ),
    inference(avatar_component_clause,[],[f32202]) ).

fof(f11085,plain,
    ( ! [X0] : subclass(intersection(subset_relation,X0),null_class)
    | ~ spl0_575 ),
    inference(avatar_component_clause,[],[f11084]) ).

fof(f119022,plain,
    ( ~ spl0_1347
    | ~ spl0_215
    | spl0_1341 ),
    inference(avatar_split_clause,[],[f118782,f118778,f2205,f119019]) ).

fof(f119019,plain,
    ( spl0_1347
  <=> subclass(universal_class,complement(identity_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1347])]) ).

fof(f118778,plain,
    ( spl0_1341
  <=> subclass(universal_class,complement(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1341])]) ).

fof(f118782,plain,
    ( ~ subclass(universal_class,complement(identity_relation))
    | ~ spl0_215
    | spl0_1341 ),
    inference(forward_demodulation,[],[f118780,f2207]) ).

fof(f118780,plain,
    ( ~ subclass(universal_class,complement(null_class))
    | spl0_1341 ),
    inference(avatar_component_clause,[],[f118778]) ).

fof(f119017,plain,
    ( spl0_1346
    | ~ spl0_215
    | ~ spl0_1340 ),
    inference(avatar_split_clause,[],[f118776,f118772,f2205,f119014]) ).

fof(f119014,plain,
    ( spl0_1346
  <=> member(first(identity_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1346])]) ).

fof(f118772,plain,
    ( spl0_1340
  <=> member(first(null_class),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1340])]) ).

fof(f118776,plain,
    ( member(first(identity_relation),universal_class)
    | ~ spl0_215
    | ~ spl0_1340 ),
    inference(forward_demodulation,[],[f118774,f2207]) ).

fof(f118774,plain,
    ( member(first(null_class),universal_class)
    | ~ spl0_1340 ),
    inference(avatar_component_clause,[],[f118772]) ).

fof(f118969,plain,
    ( ~ spl0_1218
    | spl0_1345
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f118870,f18488,f9850,f4891,f2205,f1850,f1276,f118967,f113738]) ).

fof(f118967,plain,
    ( spl0_1345
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1345])]) ).

fof(f118870,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | ~ member(second(identity_relation),universal_class)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation))))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(first(identity_relation),first(identity_relation)))),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118869,f18490]) ).

fof(f118940,plain,
    ( spl0_1344
    | ~ spl0_1218
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f118887,f18488,f9850,f4891,f2205,f1850,f1276,f113738,f118938]) ).

fof(f118938,plain,
    ( spl0_1344
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1344])]) ).

fof(f118887,plain,
    ( ! [X0,X1] :
        ( ~ member(second(identity_relation),universal_class)
        | ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118886,f2207]) ).

fof(f118886,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118885,f2207]) ).

fof(f118885,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118884,f18490]) ).

fof(f118884,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(identity_relation),second(identity_relation)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118883,f2207]) ).

fof(f118883,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,u)),unordered_pair(second(null_class),second(null_class)))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_186
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f11543,f18490]) ).

fof(f118933,plain,
    ( spl0_1343
    | ~ spl0_215
    | ~ spl0_600
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f118928,f18488,f11598,f2205,f118931]) ).

fof(f118931,plain,
    ( spl0_1343
  <=> ! [X0,X1] :
        ( member(identity_relation,compose(X0,X1))
        | identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1343])]) ).

fof(f118928,plain,
    ( ! [X0,X1] :
        ( member(identity_relation,compose(X0,X1))
        | identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))) )
    | ~ spl0_215
    | ~ spl0_600
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118927,f2207]) ).

fof(f118927,plain,
    ( ! [X0,X1] :
        ( identity_relation = intersection(cross_product(unordered_pair(second(identity_relation),second(identity_relation)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | member(null_class,compose(X0,X1)) )
    | ~ spl0_215
    | ~ spl0_600
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f118926,f2207]) ).

fof(f118926,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | member(null_class,compose(X0,X1)) )
    | ~ spl0_600
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f11599,f18490]) ).

fof(f118811,plain,
    ( spl0_1218
    | ~ spl0_155
    | ~ spl0_215
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f118455,f4847,f2205,f1340,f113738]) ).

fof(f1340,plain,
    ( spl0_155
  <=> member(null_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f4847,plain,
    ( spl0_361
  <=> ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(second(null_class),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f118455,plain,
    ( member(second(identity_relation),universal_class)
    | ~ spl0_155
    | ~ spl0_215
    | ~ spl0_361 ),
    inference(forward_demodulation,[],[f4854,f2207]) ).

fof(f4854,plain,
    ( member(second(null_class),universal_class)
    | ~ spl0_155
    | ~ spl0_361 ),
    inference(resolution,[],[f4848,f1341]) ).

fof(f1341,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f4848,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(second(null_class),X1) )
    | ~ spl0_361 ),
    inference(avatar_component_clause,[],[f4847]) ).

fof(f118788,plain,
    ( spl0_742
    | ~ spl0_215
    | ~ spl0_567
    | ~ spl0_1067 ),
    inference(avatar_split_clause,[],[f113825,f32202,f11019,f2205,f17480]) ).

fof(f11019,plain,
    ( spl0_567
  <=> ! [X0] : subclass(intersection(X0,subset_relation),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f113825,plain,
    ( subclass(subset_relation,identity_relation)
    | ~ spl0_215
    | ~ spl0_567
    | ~ spl0_1067 ),
    inference(forward_demodulation,[],[f37869,f2207]) ).

fof(f37869,plain,
    ( subclass(subset_relation,null_class)
    | ~ spl0_567
    | ~ spl0_1067 ),
    inference(superposition,[],[f11020,f32204]) ).

fof(f11020,plain,
    ( ! [X0] : subclass(intersection(X0,subset_relation),null_class)
    | ~ spl0_567 ),
    inference(avatar_component_clause,[],[f11019]) ).

fof(f118787,plain,
    ( spl0_1342
    | ~ spl0_215
    | ~ spl0_1336 ),
    inference(avatar_split_clause,[],[f118446,f118442,f2205,f118784]) ).

fof(f118784,plain,
    ( spl0_1342
  <=> identity_relation = complement(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1342])]) ).

fof(f118442,plain,
    ( spl0_1336
  <=> null_class = complement(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1336])]) ).

fof(f118446,plain,
    ( identity_relation = complement(universal_class)
    | ~ spl0_215
    | ~ spl0_1336 ),
    inference(forward_demodulation,[],[f118444,f2207]) ).

fof(f118444,plain,
    ( null_class = complement(universal_class)
    | ~ spl0_1336 ),
    inference(avatar_component_clause,[],[f118442]) ).

fof(f118781,plain,
    ( ~ spl0_1341
    | ~ spl0_237
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f4898,f4891,f2400,f118778]) ).

fof(f4898,plain,
    ( ~ subclass(universal_class,complement(null_class))
    | ~ spl0_237
    | ~ spl0_366 ),
    inference(resolution,[],[f4893,f2401]) ).

fof(f118775,plain,
    ( spl0_1340
    | ~ spl0_155
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f4863,f4851,f1340,f118772]) ).

fof(f4851,plain,
    ( spl0_362
  <=> ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(first(null_class),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f4863,plain,
    ( member(first(null_class),universal_class)
    | ~ spl0_155
    | ~ spl0_362 ),
    inference(resolution,[],[f4852,f1341]) ).

fof(f4852,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(first(null_class),X0) )
    | ~ spl0_362 ),
    inference(avatar_component_clause,[],[f4851]) ).

fof(f118531,plain,
    ( spl0_1339
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f118514,f1427,f318,f118529]) ).

fof(f118529,plain,
    ( spl0_1339
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1339])]) ).

fof(f1427,plain,
    ( spl0_162
  <=> member(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f118514,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(universal_class,X0) )
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(resolution,[],[f1428,f319]) ).

fof(f1428,plain,
    ( member(universal_class,universal_class)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1427]) ).

fof(f118500,plain,
    ( ~ spl0_1338
    | ~ spl0_215
    | spl0_455 ),
    inference(avatar_split_clause,[],[f112136,f8323,f2205,f118497]) ).

fof(f118497,plain,
    ( spl0_1338
  <=> inductive(complement(identity_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1338])]) ).

fof(f8323,plain,
    ( spl0_455
  <=> inductive(complement(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f112136,plain,
    ( ~ inductive(complement(identity_relation))
    | ~ spl0_215
    | spl0_455 ),
    inference(superposition,[],[f8325,f2207]) ).

fof(f8325,plain,
    ( ~ inductive(complement(null_class))
    | spl0_455 ),
    inference(avatar_component_clause,[],[f8323]) ).

fof(f118470,plain,
    ( spl0_162
    | ~ spl0_88
    | ~ spl0_155
    | ~ spl0_215
    | ~ spl0_361
    | ~ spl0_1309 ),
    inference(avatar_split_clause,[],[f118456,f118096,f4847,f2205,f1340,f657,f1427]) ).

fof(f657,plain,
    ( spl0_88
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | universal_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f118096,plain,
    ( spl0_1309
  <=> subclass(universal_class,second(identity_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1309])]) ).

fof(f118456,plain,
    ( member(universal_class,universal_class)
    | ~ spl0_88
    | ~ spl0_155
    | ~ spl0_215
    | ~ spl0_361
    | ~ spl0_1309 ),
    inference(forward_demodulation,[],[f118455,f118102]) ).

fof(f118102,plain,
    ( universal_class = second(identity_relation)
    | ~ spl0_88
    | ~ spl0_1309 ),
    inference(resolution,[],[f118098,f658]) ).

fof(f658,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | universal_class = X0 )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f118098,plain,
    ( subclass(universal_class,second(identity_relation))
    | ~ spl0_1309 ),
    inference(avatar_component_clause,[],[f118096]) ).

fof(f118469,plain,
    ( ~ spl0_1337
    | ~ spl0_215
    | spl0_248 ),
    inference(avatar_split_clause,[],[f118464,f2591,f2205,f118466]) ).

fof(f118466,plain,
    ( spl0_1337
  <=> member(identity_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1337])]) ).

fof(f2591,plain,
    ( spl0_248
  <=> member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f118464,plain,
    ( ~ member(identity_relation,cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_215
    | spl0_248 ),
    inference(forward_demodulation,[],[f2592,f2207]) ).

fof(f2592,plain,
    ( ~ member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
    | spl0_248 ),
    inference(avatar_component_clause,[],[f2591]) ).

fof(f118447,plain,
    ( spl0_599
    | ~ spl0_248
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f4855,f4847,f2591,f11594]) ).

fof(f11594,plain,
    ( spl0_599
  <=> member(second(null_class),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f4855,plain,
    ( member(second(null_class),universal_class)
    | ~ spl0_248
    | ~ spl0_361 ),
    inference(resolution,[],[f4848,f2593]) ).

fof(f2593,plain,
    ( member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f2591]) ).

fof(f118445,plain,
    ( spl0_1336
    | ~ spl0_4
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2379,f2363,f185,f118442]) ).

fof(f2363,plain,
    ( spl0_234
  <=> ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f2379,plain,
    ( null_class = complement(universal_class)
    | ~ spl0_4
    | ~ spl0_234 ),
    inference(resolution,[],[f2364,f186]) ).

fof(f2364,plain,
    ( ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class )
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f2363]) ).

fof(f118430,plain,
    ( spl0_1335
    | ~ spl0_215
    | ~ spl0_1325 ),
    inference(avatar_split_clause,[],[f118266,f118263,f2205,f118428]) ).

fof(f118428,plain,
    ( spl0_1335
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1335])]) ).

fof(f118263,plain,
    ( spl0_1325
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1325])]) ).

fof(f118266,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_215
    | ~ spl0_1325 ),
    inference(forward_demodulation,[],[f118264,f2207]) ).

fof(f118264,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_1325 ),
    inference(avatar_component_clause,[],[f118263]) ).

fof(f118426,plain,
    ( spl0_1334
    | ~ spl0_215
    | ~ spl0_1324 ),
    inference(avatar_split_clause,[],[f118261,f118258,f2205,f118424]) ).

fof(f118424,plain,
    ( spl0_1334
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1334])]) ).

fof(f118258,plain,
    ( spl0_1324
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1324])]) ).

fof(f118261,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_215
    | ~ spl0_1324 ),
    inference(forward_demodulation,[],[f118259,f2207]) ).

fof(f118259,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_1324 ),
    inference(avatar_component_clause,[],[f118258]) ).

fof(f118421,plain,
    ( spl0_104
    | ~ spl0_872
    | ~ spl0_1067 ),
    inference(avatar_split_clause,[],[f37863,f32202,f21571,f810]) ).

fof(f810,plain,
    ( spl0_104
  <=> member(u,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f21571,plain,
    ( spl0_872
  <=> member(u,intersection(subset_relation,subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).

fof(f37863,plain,
    ( member(u,subset_relation)
    | ~ spl0_872
    | ~ spl0_1067 ),
    inference(superposition,[],[f21573,f32204]) ).

fof(f21573,plain,
    ( member(u,intersection(subset_relation,subset_relation))
    | ~ spl0_872 ),
    inference(avatar_component_clause,[],[f21571]) ).

fof(f118419,plain,
    ( spl0_1333
    | ~ spl0_98
    | ~ spl0_215
    | ~ spl0_257
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f110804,f3977,f2696,f2205,f761,f118417]) ).

fof(f118417,plain,
    ( spl0_1333
  <=> ! [X0] :
        ( ~ subclass(X0,complement(complement(null_class)))
        | member(regular(X0),identity_relation)
        | identity_relation = X0
        | ~ member(regular(X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1333])]) ).

fof(f110804,plain,
    ( ! [X0] :
        ( ~ subclass(X0,complement(complement(null_class)))
        | member(regular(X0),identity_relation)
        | identity_relation = X0
        | ~ member(regular(X0),universal_class) )
    | ~ spl0_98
    | ~ spl0_215
    | ~ spl0_257
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f2811,f3979]) ).

fof(f2811,plain,
    ( ! [X0] :
        ( member(regular(X0),identity_relation)
        | identity_relation = X0
        | ~ subclass(X0,complement(complement(unordered_pair(u,u))))
        | ~ member(regular(X0),universal_class) )
    | ~ spl0_98
    | ~ spl0_215
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f2810,f2207]) ).

fof(f2810,plain,
    ( ! [X0] :
        ( identity_relation = X0
        | ~ subclass(X0,complement(complement(unordered_pair(u,u))))
        | ~ member(regular(X0),universal_class)
        | member(regular(X0),null_class) )
    | ~ spl0_98
    | ~ spl0_215
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f2779,f2207]) ).

fof(f118412,plain,
    ( spl0_1332
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1331 ),
    inference(avatar_split_clause,[],[f118408,f118404,f18488,f3977,f2205,f118410]) ).

fof(f118410,plain,
    ( spl0_1332
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1332])]) ).

fof(f118404,plain,
    ( spl0_1331
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1331])]) ).

fof(f118408,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1331 ),
    inference(forward_demodulation,[],[f118407,f2207]) ).

fof(f118407,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1331 ),
    inference(forward_demodulation,[],[f118405,f74837]) ).

fof(f118405,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_1331 ),
    inference(avatar_component_clause,[],[f118404]) ).

fof(f118406,plain,
    ( spl0_1331
    | ~ spl0_237
    | ~ spl0_1172 ),
    inference(avatar_split_clause,[],[f66576,f56391,f2400,f118404]) ).

fof(f56391,plain,
    ( spl0_1172
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1172])]) ).

fof(f66576,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_1172 ),
    inference(resolution,[],[f56392,f2401]) ).

fof(f56392,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_1172 ),
    inference(avatar_component_clause,[],[f56391]) ).

fof(f118398,plain,
    ( spl0_1330
    | ~ spl0_56
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(avatar_split_clause,[],[f118387,f56144,f18488,f3977,f2205,f469,f118396]) ).

fof(f118396,plain,
    ( spl0_1330
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1330])]) ).

fof(f56144,plain,
    ( spl0_1168
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1168])]) ).

fof(f118387,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(forward_demodulation,[],[f118386,f2207]) ).

fof(f118386,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(forward_demodulation,[],[f66332,f74837]) ).

fof(f66332,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_1168 ),
    inference(resolution,[],[f56145,f470]) ).

fof(f56145,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_1168 ),
    inference(avatar_component_clause,[],[f56144]) ).

fof(f118391,plain,
    ( spl0_1329
    | ~ spl0_215
    | ~ spl0_237
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(avatar_split_clause,[],[f118383,f56144,f18488,f3977,f2400,f2205,f118389]) ).

fof(f118389,plain,
    ( spl0_1329
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1329])]) ).

fof(f118383,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_215
    | ~ spl0_237
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(forward_demodulation,[],[f118382,f2207]) ).

fof(f118382,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(forward_demodulation,[],[f66400,f74837]) ).

fof(f66400,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_1168 ),
    inference(resolution,[],[f56145,f2401]) ).

fof(f118287,plain,
    ( spl0_1328
    | ~ spl0_237
    | ~ spl0_1167 ),
    inference(avatar_split_clause,[],[f66213,f55987,f2400,f118285]) ).

fof(f118285,plain,
    ( spl0_1328
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1328])]) ).

fof(f55987,plain,
    ( spl0_1167
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1167])]) ).

fof(f66213,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_1167 ),
    inference(resolution,[],[f55988,f2401]) ).

fof(f55988,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_1167 ),
    inference(avatar_component_clause,[],[f55987]) ).

fof(f118275,plain,
    ( ~ spl0_1326
    | ~ spl0_1327
    | ~ spl0_336
    | ~ spl0_785 ),
    inference(avatar_split_clause,[],[f18493,f18484,f4039,f118272,f118268]) ).

fof(f118268,plain,
    ( spl0_1326
  <=> subclass(universal_class,complement(u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1326])]) ).

fof(f118272,plain,
    ( spl0_1327
  <=> member(domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1327])]) ).

fof(f4039,plain,
    ( spl0_336
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f18493,plain,
    ( ~ member(domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class)))),universal_class)
    | ~ subclass(universal_class,complement(u))
    | ~ spl0_336
    | ~ spl0_785 ),
    inference(resolution,[],[f18486,f4040]) ).

fof(f4040,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0)
        | ~ member(X1,universal_class)
        | ~ subclass(universal_class,complement(X0)) )
    | ~ spl0_336 ),
    inference(avatar_component_clause,[],[f4039]) ).

fof(f118265,plain,
    ( spl0_1325
    | ~ spl0_237
    | ~ spl0_604 ),
    inference(avatar_split_clause,[],[f11683,f11679,f2400,f118263]) ).

fof(f11679,plain,
    ( spl0_604
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f11683,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_604 ),
    inference(resolution,[],[f11680,f2401]) ).

fof(f11680,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_604 ),
    inference(avatar_component_clause,[],[f11679]) ).

fof(f118260,plain,
    ( spl0_1324
    | ~ spl0_237
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f11632,f11612,f2400,f118258]) ).

fof(f11632,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_603 ),
    inference(resolution,[],[f11613,f2401]) ).

fof(f118253,plain,
    ( spl0_1323
    | ~ spl0_116
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f10312,f10285,f899,f118251]) ).

fof(f118251,plain,
    ( spl0_1323
  <=> ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | ~ subclass(X0,null_class)
        | subclass(X0,X1)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1323])]) ).

fof(f899,plain,
    ( spl0_116
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | member(not_subclass_element(X0,X2),X1)
        | subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f10285,plain,
    ( spl0_529
  <=> ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | member(not_subclass_element(X0,X1),subset_relation)
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f10312,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | ~ subclass(X0,null_class)
        | subclass(X0,X1)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_116
    | ~ spl0_529 ),
    inference(duplicate_literal_removal,[],[f10301]) ).

fof(f10301,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | ~ subclass(X0,null_class)
        | subclass(X0,X1)
        | ~ subclass(X0,cross_product(universal_class,universal_class))
        | subclass(X0,X1) )
    | ~ spl0_116
    | ~ spl0_529 ),
    inference(resolution,[],[f10286,f900]) ).

fof(f900,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(X0,X2),X1)
        | ~ subclass(X0,X1)
        | subclass(X0,X2) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f10286,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | member(not_subclass_element(X0,X1),subset_relation)
        | ~ subclass(X0,null_class)
        | subclass(X0,X1) )
    | ~ spl0_529 ),
    inference(avatar_component_clause,[],[f10285]) ).

fof(f118247,plain,
    ( spl0_1321
    | spl0_1322
    | ~ spl0_237
    | ~ spl0_462 ),
    inference(avatar_split_clause,[],[f8445,f8416,f2400,f118245,f118242]) ).

fof(f118242,plain,
    ( spl0_1321
  <=> ! [X2] :
        ( ~ subclass(null_class,X2)
        | ~ subclass(universal_class,complement(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1321])]) ).

fof(f118245,plain,
    ( spl0_1322
  <=> ! [X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1322])]) ).

fof(f8416,plain,
    ( spl0_462
  <=> ! [X2,X0,X1] :
        ( ~ subclass(null_class,X2)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f8445,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(null_class,X2)
        | ~ subclass(universal_class,complement(X2)) )
    | ~ spl0_237
    | ~ spl0_462 ),
    inference(resolution,[],[f8417,f2401]) ).

fof(f8417,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(null_class,X2) )
    | ~ spl0_462 ),
    inference(avatar_component_clause,[],[f8416]) ).

fof(f118239,plain,
    ( ~ spl0_1320
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1294
    | spl0_1319 ),
    inference(avatar_split_clause,[],[f118234,f118229,f117083,f18488,f3977,f2205,f1135,f118236]) ).

fof(f118236,plain,
    ( spl0_1320
  <=> member(identity_relation,complement(compose(complement(identity_relation),domain_of(flip(identity_relation))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1320])]) ).

fof(f118229,plain,
    ( spl0_1319
  <=> member(null_class,complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1319])]) ).

fof(f118234,plain,
    ( ~ member(identity_relation,complement(compose(complement(identity_relation),domain_of(flip(identity_relation)))))
    | ~ spl0_134
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1294
    | spl0_1319 ),
    inference(forward_demodulation,[],[f118233,f117389]) ).

fof(f118233,plain,
    ( ~ member(identity_relation,complement(compose(complement(identity_relation),domain_of(flip(cross_product(identity_relation,universal_class))))))
    | ~ spl0_215
    | spl0_1319 ),
    inference(forward_demodulation,[],[f118231,f2207]) ).

fof(f118231,plain,
    ( ~ member(null_class,complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))
    | spl0_1319 ),
    inference(avatar_component_clause,[],[f118229]) ).

fof(f118232,plain,
    ( ~ spl0_155
    | ~ spl0_1319
    | ~ spl0_43
    | spl0_387 ),
    inference(avatar_split_clause,[],[f5774,f5770,f386,f118229,f1340]) ).

fof(f386,plain,
    ( spl0_43
  <=> ! [X4,X0,X1] :
        ( ~ member(X4,X0)
        | ~ member(X4,X1)
        | member(X4,intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f5770,plain,
    ( spl0_387
  <=> member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f5774,plain,
    ( ~ member(null_class,complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))
    | ~ member(null_class,cross_product(universal_class,universal_class))
    | ~ spl0_43
    | spl0_387 ),
    inference(resolution,[],[f5772,f387]) ).

fof(f387,plain,
    ( ! [X0,X1,X4] :
        ( member(X4,intersection(X0,X1))
        | ~ member(X4,X1)
        | ~ member(X4,X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f5772,plain,
    ( ~ member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | spl0_387 ),
    inference(avatar_component_clause,[],[f5770]) ).

fof(f118227,plain,
    ( spl0_1318
    | ~ spl0_9
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f5677,f5674,f206,f118225]) ).

fof(f118225,plain,
    ( spl0_1318
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,unordered_pair(X1,X2)))),X3)
        | ~ subclass(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1318])]) ).

fof(f206,plain,
    ( spl0_9
  <=> ! [X0,X1] : member(unordered_pair(X0,X1),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f5674,plain,
    ( spl0_379
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,X1))),X2)
        | ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f5677,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,unordered_pair(X1,X2)))),X3)
        | ~ subclass(X0,X3) )
    | ~ spl0_9
    | ~ spl0_379 ),
    inference(resolution,[],[f5675,f207]) ).

fof(f207,plain,
    ( ! [X0,X1] : member(unordered_pair(X0,X1),universal_class)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f5675,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,universal_class)
        | ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,X1))),X2)
        | ~ subclass(X0,X2) )
    | ~ spl0_379 ),
    inference(avatar_component_clause,[],[f5674]) ).

fof(f118187,plain,
    ( spl0_1317
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_1316 ),
    inference(avatar_split_clause,[],[f118183,f118177,f3977,f2205,f118185]) ).

fof(f118185,plain,
    ( spl0_1317
  <=> ! [X0] :
        ( member(not_subclass_element(X0,identity_relation),complement(identity_relation))
        | subclass(X0,identity_relation)
        | ~ member(not_subclass_element(X0,identity_relation),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1317])]) ).

fof(f118177,plain,
    ( spl0_1316
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),universal_class)
        | subclass(X0,null_class)
        | member(not_subclass_element(X0,null_class),complement(unordered_pair(u,u))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1316])]) ).

fof(f118183,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,identity_relation),complement(identity_relation))
        | subclass(X0,identity_relation)
        | ~ member(not_subclass_element(X0,identity_relation),universal_class) )
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_1316 ),
    inference(forward_demodulation,[],[f118182,f2207]) ).

fof(f118182,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,null_class),complement(null_class))
        | subclass(X0,identity_relation)
        | ~ member(not_subclass_element(X0,identity_relation),universal_class) )
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_1316 ),
    inference(forward_demodulation,[],[f118181,f3979]) ).

fof(f118181,plain,
    ( ! [X0] :
        ( subclass(X0,identity_relation)
        | ~ member(not_subclass_element(X0,identity_relation),universal_class)
        | member(not_subclass_element(X0,null_class),complement(unordered_pair(u,u))) )
    | ~ spl0_215
    | ~ spl0_1316 ),
    inference(forward_demodulation,[],[f118180,f2207]) ).

fof(f118180,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,identity_relation),universal_class)
        | subclass(X0,null_class)
        | member(not_subclass_element(X0,null_class),complement(unordered_pair(u,u))) )
    | ~ spl0_215
    | ~ spl0_1316 ),
    inference(forward_demodulation,[],[f118178,f2207]) ).

fof(f118178,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),universal_class)
        | subclass(X0,null_class)
        | member(not_subclass_element(X0,null_class),complement(unordered_pair(u,u))) )
    | ~ spl0_1316 ),
    inference(avatar_component_clause,[],[f118177]) ).

fof(f118179,plain,
    ( spl0_1316
    | ~ spl0_27
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f2393,f2387,f284,f118177]) ).

fof(f284,plain,
    ( spl0_27
  <=> ! [X4,X0,X1] :
        ( member(X4,X0)
        | ~ member(X4,intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2387,plain,
    ( spl0_236
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),universal_class)
        | member(not_subclass_element(X0,null_class),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(X0,null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),universal_class)
        | subclass(X0,null_class)
        | member(not_subclass_element(X0,null_class),complement(unordered_pair(u,u))) )
    | ~ spl0_27
    | ~ spl0_236 ),
    inference(resolution,[],[f2388,f285]) ).

fof(f285,plain,
    ( ! [X0,X1,X4] :
        ( ~ member(X4,intersection(X0,X1))
        | member(X4,X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f2388,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,null_class),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(not_subclass_element(X0,null_class),universal_class)
        | subclass(X0,null_class) )
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f118174,plain,
    ( spl0_1315
    | ~ spl0_60
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1515,f540,f485,f118171]) ).

fof(f118171,plain,
    ( spl0_1315
  <=> u = unordered_pair(unordered_pair(first(u),first(u)),unordered_pair(first(u),unordered_pair(second(u),second(u)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1315])]) ).

fof(f485,plain,
    ( spl0_60
  <=> member(u,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f540,plain,
    ( spl0_68
  <=> ! [X4,X0,X1] :
        ( ~ member(X4,cross_product(X0,X1))
        | unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1515,plain,
    ( u = unordered_pair(unordered_pair(first(u),first(u)),unordered_pair(first(u),unordered_pair(second(u),second(u))))
    | ~ spl0_60
    | ~ spl0_68 ),
    inference(resolution,[],[f487,f541]) ).

fof(f541,plain,
    ( ! [X0,X1,X4] :
        ( ~ member(X4,cross_product(X0,X1))
        | unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f487,plain,
    ( member(u,cross_product(universal_class,universal_class))
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f118160,plain,
    ( spl0_1314
    | ~ spl0_215
    | ~ spl0_1300 ),
    inference(avatar_split_clause,[],[f117241,f117237,f2205,f118158]) ).

fof(f118158,plain,
    ( spl0_1314
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,identity_relation)),X1)
        | subclass(X0,intersection(X1,identity_relation))
        | ~ subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1314])]) ).

fof(f117237,plain,
    ( spl0_1300
  <=> ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1300])]) ).

fof(f117241,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,identity_relation)),X1)
        | subclass(X0,intersection(X1,identity_relation))
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_215
    | ~ spl0_1300 ),
    inference(forward_demodulation,[],[f117240,f2207]) ).

fof(f117240,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,identity_relation))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_215
    | ~ spl0_1300 ),
    inference(forward_demodulation,[],[f117238,f2207]) ).

fof(f117238,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_1300 ),
    inference(avatar_component_clause,[],[f117237]) ).

fof(f118156,plain,
    ( spl0_1313
    | ~ spl0_215
    | ~ spl0_1299 ),
    inference(avatar_split_clause,[],[f117235,f117232,f2205,f118154]) ).

fof(f118154,plain,
    ( spl0_1313
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1313])]) ).

fof(f117232,plain,
    ( spl0_1299
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1299])]) ).

fof(f117235,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(identity_relation,identity_relation),unordered_pair(identity_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_215
    | ~ spl0_1299 ),
    inference(forward_demodulation,[],[f117233,f2207]) ).

fof(f117233,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_1299 ),
    inference(avatar_component_clause,[],[f117232]) ).

fof(f118151,plain,
    ( spl0_1312
    | ~ spl0_39
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116619,f18488,f9850,f5779,f4891,f2205,f365,f118149]) ).

fof(f118149,plain,
    ( spl0_1312
  <=> ! [X0] :
        ( member(X0,intersection(complement(first(identity_relation)),complement(subset_relation)))
        | member(X0,second(identity_relation))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1312])]) ).

fof(f365,plain,
    ( spl0_39
  <=> ! [X4,X0] :
        ( ~ member(X4,universal_class)
        | member(X4,X0)
        | member(X4,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f116619,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(first(identity_relation)),complement(subset_relation)))
        | member(X0,second(identity_relation))
        | ~ member(X0,universal_class) )
    | ~ spl0_39
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116618,f2207]) ).

fof(f116618,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(first(null_class)),complement(subset_relation)))
        | member(X0,second(identity_relation))
        | ~ member(X0,universal_class) )
    | ~ spl0_39
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116617,f18490]) ).

fof(f116617,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(first(null_class)),complement(u)))
        | member(X0,second(identity_relation))
        | ~ member(X0,universal_class) )
    | ~ spl0_39
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f116616,f9916]) ).

fof(f116616,plain,
    ( ! [X0] :
        ( member(X0,second(identity_relation))
        | member(X0,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
        | ~ member(X0,universal_class) )
    | ~ spl0_39
    | ~ spl0_215
    | ~ spl0_388 ),
    inference(forward_demodulation,[],[f6539,f2207]) ).

fof(f6539,plain,
    ( ! [X0] :
        ( member(X0,second(null_class))
        | member(X0,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
        | ~ member(X0,universal_class) )
    | ~ spl0_39
    | ~ spl0_388 ),
    inference(superposition,[],[f366,f5781]) ).

fof(f366,plain,
    ( ! [X0,X4] :
        ( member(X4,complement(X0))
        | member(X4,X0)
        | ~ member(X4,universal_class) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f118136,plain,
    ( spl0_1311
    | ~ spl0_88
    | ~ spl0_1309
    | ~ spl0_1310 ),
    inference(avatar_split_clause,[],[f118132,f118128,f118096,f657,f118134]) ).

fof(f118134,plain,
    ( spl0_1311
  <=> ! [X0] :
        ( ~ member(not_subclass_element(universal_class,X0),intersection(complement(first(identity_relation)),complement(subset_relation)))
        | subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1311])]) ).

fof(f118128,plain,
    ( spl0_1310
  <=> ! [X0] :
        ( subclass(second(identity_relation),X0)
        | ~ member(not_subclass_element(second(identity_relation),X0),intersection(complement(first(identity_relation)),complement(subset_relation))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1310])]) ).

fof(f118132,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(universal_class,X0),intersection(complement(first(identity_relation)),complement(subset_relation)))
        | subclass(universal_class,X0) )
    | ~ spl0_88
    | ~ spl0_1309
    | ~ spl0_1310 ),
    inference(forward_demodulation,[],[f118131,f118102]) ).

fof(f118131,plain,
    ( ! [X0] :
        ( subclass(universal_class,X0)
        | ~ member(not_subclass_element(second(identity_relation),X0),intersection(complement(first(identity_relation)),complement(subset_relation))) )
    | ~ spl0_88
    | ~ spl0_1309
    | ~ spl0_1310 ),
    inference(forward_demodulation,[],[f118129,f118102]) ).

fof(f118129,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(second(identity_relation),X0),intersection(complement(first(identity_relation)),complement(subset_relation)))
        | subclass(second(identity_relation),X0) )
    | ~ spl0_1310 ),
    inference(avatar_component_clause,[],[f118128]) ).

fof(f118130,plain,
    ( spl0_1310
    | ~ spl0_105
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116601,f18488,f9850,f5779,f4891,f2205,f822,f118128]) ).

fof(f822,plain,
    ( spl0_105
  <=> ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | ~ member(not_subclass_element(complement(X0),X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f116601,plain,
    ( ! [X0] :
        ( subclass(second(identity_relation),X0)
        | ~ member(not_subclass_element(second(identity_relation),X0),intersection(complement(first(identity_relation)),complement(subset_relation))) )
    | ~ spl0_105
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116600,f2207]) ).

fof(f116600,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(second(identity_relation),X0),intersection(complement(first(identity_relation)),complement(subset_relation)))
        | subclass(second(null_class),X0) )
    | ~ spl0_105
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116599,f2207]) ).

fof(f116599,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(second(null_class),X0),intersection(complement(first(null_class)),complement(subset_relation)))
        | subclass(second(null_class),X0) )
    | ~ spl0_105
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116598,f18490]) ).

fof(f116598,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(second(null_class),X0),intersection(complement(first(null_class)),complement(u)))
        | subclass(second(null_class),X0) )
    | ~ spl0_105
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f6543,f9916]) ).

fof(f6543,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(second(null_class),X0),intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
        | subclass(second(null_class),X0) )
    | ~ spl0_105
    | ~ spl0_388 ),
    inference(superposition,[],[f823,f5781]) ).

fof(f823,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(complement(X0),X1),X0)
        | subclass(complement(X0),X1) )
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f118099,plain,
    ( spl0_1308
    | spl0_1309
    | ~ spl0_215
    | ~ spl0_253
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116567,f18488,f9850,f5779,f4891,f2627,f2205,f118096,f118092]) ).

fof(f118092,plain,
    ( spl0_1308
  <=> member(not_subclass_element(universal_class,second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1308])]) ).

fof(f2627,plain,
    ( spl0_253
  <=> ! [X0] :
        ( member(not_subclass_element(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f116567,plain,
    ( subclass(universal_class,second(identity_relation))
    | member(not_subclass_element(universal_class,second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation)))
    | ~ spl0_215
    | ~ spl0_253
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116566,f2207]) ).

fof(f116566,plain,
    ( member(not_subclass_element(universal_class,second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation)))
    | subclass(universal_class,second(null_class))
    | ~ spl0_215
    | ~ spl0_253
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116565,f2207]) ).

fof(f116565,plain,
    ( member(not_subclass_element(universal_class,second(null_class)),intersection(complement(first(null_class)),complement(subset_relation)))
    | subclass(universal_class,second(null_class))
    | ~ spl0_253
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116564,f18490]) ).

fof(f116564,plain,
    ( member(not_subclass_element(universal_class,second(null_class)),intersection(complement(first(null_class)),complement(u)))
    | subclass(universal_class,second(null_class))
    | ~ spl0_253
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f6551,f9916]) ).

fof(f6551,plain,
    ( member(not_subclass_element(universal_class,second(null_class)),intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | subclass(universal_class,second(null_class))
    | ~ spl0_253
    | ~ spl0_388 ),
    inference(superposition,[],[f2628,f5781]) ).

fof(f2628,plain,
    ( ! [X0] :
        ( member(not_subclass_element(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0)) )
    | ~ spl0_253 ),
    inference(avatar_component_clause,[],[f2627]) ).

fof(f117700,plain,
    ( spl0_1307
    | ~ spl0_786
    | ~ spl0_1164 ),
    inference(avatar_split_clause,[],[f117671,f55664,f18488,f117698]) ).

fof(f117698,plain,
    ( spl0_1307
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1307])]) ).

fof(f55664,plain,
    ( spl0_1164
  <=> ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1164])]) ).

fof(f117671,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_786
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f117670,f18490]) ).

fof(f117670,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_786
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f55665,f18490]) ).

fof(f55665,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_1164 ),
    inference(avatar_component_clause,[],[f55664]) ).

fof(f117334,plain,
    ( spl0_1035
    | ~ spl0_1294 ),
    inference(avatar_contradiction_clause,[],[f117268]) ).

fof(f117268,plain,
    ( $false
    | spl0_1035
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f31142]) ).

fof(f31142,plain,
    ( ~ member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_1035 ),
    inference(avatar_component_clause,[],[f31141]) ).

fof(f31141,plain,
    ( spl0_1035
  <=> member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).

fof(f117333,plain,
    ( spl0_1156
    | ~ spl0_1294 ),
    inference(avatar_contradiction_clause,[],[f117269]) ).

fof(f117269,plain,
    ( $false
    | spl0_1156
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f41693]) ).

fof(f41693,plain,
    ( ~ member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_1156 ),
    inference(avatar_component_clause,[],[f41692]) ).

fof(f41692,plain,
    ( spl0_1156
  <=> member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1156])]) ).

fof(f117332,plain,
    ( spl0_1280
    | ~ spl0_1294 ),
    inference(avatar_contradiction_clause,[],[f117270]) ).

fof(f117270,plain,
    ( $false
    | spl0_1280
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f117017]) ).

fof(f117017,plain,
    ( ~ member(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | spl0_1280 ),
    inference(avatar_component_clause,[],[f117015]) ).

fof(f117015,plain,
    ( spl0_1280
  <=> member(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1280])]) ).

fof(f117331,plain,
    ( spl0_1210
    | ~ spl0_1294 ),
    inference(avatar_contradiction_clause,[],[f117271]) ).

fof(f117271,plain,
    ( $false
    | spl0_1210
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f87213]) ).

fof(f87213,plain,
    ( ~ member(subset_relation,null_class)
    | spl0_1210 ),
    inference(avatar_component_clause,[],[f87211]) ).

fof(f87211,plain,
    ( spl0_1210
  <=> member(subset_relation,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1210])]) ).

fof(f117330,plain,
    ( spl0_1141
    | ~ spl0_1294 ),
    inference(avatar_contradiction_clause,[],[f117272]) ).

fof(f117272,plain,
    ( $false
    | spl0_1141
    | ~ spl0_1294 ),
    inference(resolution,[],[f117084,f40646]) ).

fof(f40646,plain,
    ( ~ member(subset_relation,identity_relation)
    | spl0_1141 ),
    inference(avatar_component_clause,[],[f40644]) ).

fof(f117267,plain,
    ( spl0_1306
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1305 ),
    inference(avatar_split_clause,[],[f117263,f117259,f18488,f3977,f2205,f117265]) ).

fof(f117265,plain,
    ( spl0_1306
  <=> ! [X0] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1306])]) ).

fof(f117259,plain,
    ( spl0_1305
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1305])]) ).

fof(f117263,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(identity_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1305 ),
    inference(forward_demodulation,[],[f117262,f2207]) ).

fof(f117262,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1305 ),
    inference(forward_demodulation,[],[f117260,f74837]) ).

fof(f117260,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_1305 ),
    inference(avatar_component_clause,[],[f117259]) ).

fof(f117261,plain,
    ( spl0_1305
    | ~ spl0_305
    | ~ spl0_1167 ),
    inference(avatar_split_clause,[],[f66163,f55987,f3474,f117259]) ).

fof(f3474,plain,
    ( spl0_305
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f66163,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_305
    | ~ spl0_1167 ),
    inference(resolution,[],[f55988,f3475]) ).

fof(f3475,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X1,universal_class) )
    | ~ spl0_305 ),
    inference(avatar_component_clause,[],[f3474]) ).

fof(f117257,plain,
    ( spl0_1304
    | ~ spl0_56
    | ~ spl0_1169 ),
    inference(avatar_split_clause,[],[f56159,f56149,f469,f117255]) ).

fof(f117255,plain,
    ( spl0_1304
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1304])]) ).

fof(f56149,plain,
    ( spl0_1169
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1169])]) ).

fof(f56159,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(cross_product(X1,X2)))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_1169 ),
    inference(resolution,[],[f56150,f470]) ).

fof(f56150,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_1169 ),
    inference(avatar_component_clause,[],[f56149]) ).

fof(f117253,plain,
    ( spl0_1303
    | ~ spl0_777
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56035,f18488,f18378,f117251]) ).

fof(f117251,plain,
    ( spl0_1303
  <=> ! [X0] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1303])]) ).

fof(f56035,plain,
    ( ! [X0] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(subset_relation,X0) )
    | ~ spl0_777
    | ~ spl0_786 ),
    inference(superposition,[],[f18379,f18490]) ).

fof(f117249,plain,
    ( spl0_1302
    | ~ spl0_300
    | ~ spl0_1090 ),
    inference(avatar_split_clause,[],[f55358,f37093,f3248,f117247]) ).

fof(f117247,plain,
    ( spl0_1302
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1302])]) ).

fof(f3248,plain,
    ( spl0_300
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | subclass(X0,X3)
        | member(not_subclass_element(X0,X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f37093,plain,
    ( spl0_1090
  <=> ! [X0] :
        ( subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1090])]) ).

fof(f55358,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class)) )
    | ~ spl0_300
    | ~ spl0_1090 ),
    inference(resolution,[],[f37094,f3249]) ).

fof(f3249,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | subclass(X0,X3)
        | member(not_subclass_element(X0,X3),X1) )
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f3248]) ).

fof(f37094,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) )
    | ~ spl0_1090 ),
    inference(avatar_component_clause,[],[f37093]) ).

fof(f117245,plain,
    ( spl0_1301
    | ~ spl0_261
    | ~ spl0_672 ),
    inference(avatar_split_clause,[],[f15253,f15215,f2748,f117243]) ).

fof(f117243,plain,
    ( spl0_1301
  <=> ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1301])]) ).

fof(f2748,plain,
    ( spl0_261
  <=> ! [X0,X1] :
        ( ~ subclass(X0,identity_relation)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f15215,plain,
    ( spl0_672
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,null_class)),subset_relation)
        | subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f15253,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_261
    | ~ spl0_672 ),
    inference(duplicate_literal_removal,[],[f15219]) ).

fof(f15219,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | subclass(X0,intersection(X1,null_class))
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_261
    | ~ spl0_672 ),
    inference(resolution,[],[f15216,f2749]) ).

fof(f2749,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | subclass(X0,X1)
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f2748]) ).

fof(f15216,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,null_class)),subset_relation)
        | subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1) )
    | ~ spl0_672 ),
    inference(avatar_component_clause,[],[f15215]) ).

fof(f117239,plain,
    ( spl0_1300
    | ~ spl0_116
    | ~ spl0_672 ),
    inference(avatar_split_clause,[],[f15243,f15215,f899,f117237]) ).

fof(f15243,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_116
    | ~ spl0_672 ),
    inference(duplicate_literal_removal,[],[f15229]) ).

fof(f15229,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ subclass(X0,subset_relation)
        | subclass(X0,intersection(X1,null_class)) )
    | ~ spl0_116
    | ~ spl0_672 ),
    inference(resolution,[],[f15216,f900]) ).

fof(f117234,plain,
    ( spl0_1299
    | ~ spl0_305
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f11624,f11612,f3474,f117232]) ).

fof(f11624,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_305
    | ~ spl0_603 ),
    inference(resolution,[],[f11613,f3475]) ).

fof(f117224,plain,
    ( spl0_1298
    | ~ spl0_106
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f10020,f9979,f826,f117222]) ).

fof(f117222,plain,
    ( spl0_1298
  <=> ! [X0] :
        ( member(regular(X0),subset_relation)
        | ~ subclass(X0,null_class)
        | null_class = X0
        | ~ subclass(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1298])]) ).

fof(f826,plain,
    ( spl0_106
  <=> ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | member(regular(X0),X1)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f9979,plain,
    ( spl0_513
  <=> ! [X0] :
        ( ~ subclass(X0,null_class)
        | member(regular(X0),subset_relation)
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f10020,plain,
    ( ! [X0] :
        ( member(regular(X0),subset_relation)
        | ~ subclass(X0,null_class)
        | null_class = X0
        | ~ subclass(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_106
    | ~ spl0_513 ),
    inference(duplicate_literal_removal,[],[f9989]) ).

fof(f9989,plain,
    ( ! [X0] :
        ( member(regular(X0),subset_relation)
        | ~ subclass(X0,null_class)
        | null_class = X0
        | ~ subclass(X0,cross_product(universal_class,universal_class))
        | null_class = X0 )
    | ~ spl0_106
    | ~ spl0_513 ),
    inference(resolution,[],[f9980,f827]) ).

fof(f827,plain,
    ( ! [X0,X1] :
        ( member(regular(X0),X1)
        | ~ subclass(X0,X1)
        | null_class = X0 )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f9980,plain,
    ( ! [X0] :
        ( ~ member(regular(X0),cross_product(universal_class,universal_class))
        | member(regular(X0),subset_relation)
        | ~ subclass(X0,null_class)
        | null_class = X0 )
    | ~ spl0_513 ),
    inference(avatar_component_clause,[],[f9979]) ).

fof(f117217,plain,
    ( spl0_1297
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f903,f761,f318,f117215]) ).

fof(f117215,plain,
    ( spl0_1297
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,null_class)
        | ~ subclass(complement(unordered_pair(u,u)),X1)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1297])]) ).

fof(f903,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,null_class)
        | ~ subclass(complement(unordered_pair(u,u)),X1)
        | member(X0,X1) )
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(resolution,[],[f762,f319]) ).

fof(f117213,plain,
    ( ~ spl0_1296
    | ~ spl0_215
    | spl0_1242 ),
    inference(avatar_split_clause,[],[f117032,f114956,f2205,f117210]) ).

fof(f117210,plain,
    ( spl0_1296
  <=> successor_relation = identity_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1296])]) ).

fof(f114956,plain,
    ( spl0_1242
  <=> null_class = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1242])]) ).

fof(f117032,plain,
    ( successor_relation != identity_relation
    | ~ spl0_215
    | spl0_1242 ),
    inference(superposition,[],[f114957,f2207]) ).

fof(f114957,plain,
    ( null_class != successor_relation
    | spl0_1242 ),
    inference(avatar_component_clause,[],[f114956]) ).

fof(f117094,plain,
    ( spl0_1295
    | ~ spl0_215
    | ~ spl0_1282 ),
    inference(avatar_split_clause,[],[f117031,f117028,f2205,f117092]) ).

fof(f117092,plain,
    ( spl0_1295
  <=> ! [X0] :
        ( identity_relation = X0
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | member(regular(X0),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1295])]) ).

fof(f117028,plain,
    ( spl0_1282
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | null_class = X0
        | member(regular(X0),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1282])]) ).

fof(f117031,plain,
    ( ! [X0] :
        ( identity_relation = X0
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | member(regular(X0),cross_product(universal_class,universal_class)) )
    | ~ spl0_215
    | ~ spl0_1282 ),
    inference(forward_demodulation,[],[f117029,f2207]) ).

fof(f117029,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | null_class = X0
        | member(regular(X0),cross_product(universal_class,universal_class)) )
    | ~ spl0_1282 ),
    inference(avatar_component_clause,[],[f117028]) ).

fof(f117085,plain,
    ( spl0_1294
    | ~ spl0_150
    | ~ spl0_786
    | ~ spl0_1138 ),
    inference(avatar_split_clause,[],[f115695,f39972,f18488,f1303,f117083]) ).

fof(f115695,plain,
    ( ! [X0] : member(subset_relation,X0)
    | ~ spl0_150
    | ~ spl0_786
    | ~ spl0_1138 ),
    inference(forward_demodulation,[],[f115643,f18490]) ).

fof(f117081,plain,
    ( ~ spl0_1292
    | spl0_1293
    | ~ spl0_101
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116605,f18488,f9850,f5779,f4891,f2205,f786,f117078,f117074]) ).

fof(f117074,plain,
    ( spl0_1292
  <=> member(regular(second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1292])]) ).

fof(f117078,plain,
    ( spl0_1293
  <=> identity_relation = second(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1293])]) ).

fof(f786,plain,
    ( spl0_101
  <=> ! [X0] :
        ( complement(X0) = null_class
        | ~ member(regular(complement(X0)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f116605,plain,
    ( identity_relation = second(identity_relation)
    | ~ member(regular(second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation)))
    | ~ spl0_101
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116604,f2207]) ).

fof(f116604,plain,
    ( ~ member(regular(second(identity_relation)),intersection(complement(first(identity_relation)),complement(subset_relation)))
    | null_class = second(null_class)
    | ~ spl0_101
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116603,f2207]) ).

fof(f116603,plain,
    ( ~ member(regular(second(null_class)),intersection(complement(first(null_class)),complement(subset_relation)))
    | null_class = second(null_class)
    | ~ spl0_101
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116602,f18490]) ).

fof(f116602,plain,
    ( ~ member(regular(second(null_class)),intersection(complement(first(null_class)),complement(u)))
    | null_class = second(null_class)
    | ~ spl0_101
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f6542,f9916]) ).

fof(f6542,plain,
    ( ~ member(regular(second(null_class)),intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | null_class = second(null_class)
    | ~ spl0_101
    | ~ spl0_388 ),
    inference(superposition,[],[f787,f5781]) ).

fof(f787,plain,
    ( ! [X0] :
        ( ~ member(regular(complement(X0)),X0)
        | complement(X0) = null_class )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f117072,plain,
    ( spl0_1291
    | ~ spl0_215
    | ~ spl0_1268 ),
    inference(avatar_split_clause,[],[f115953,f115950,f2205,f117070]) ).

fof(f117070,plain,
    ( spl0_1291
  <=> ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,omega))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1291])]) ).

fof(f115950,plain,
    ( spl0_1268
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,omega))),X1)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1268])]) ).

fof(f115953,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,omega))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) )
    | ~ spl0_215
    | ~ spl0_1268 ),
    inference(forward_demodulation,[],[f115951,f2207]) ).

fof(f115951,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,omega))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_1268 ),
    inference(avatar_component_clause,[],[f115950]) ).

fof(f117068,plain,
    ( spl0_1290
    | ~ spl0_215
    | ~ spl0_379
    | ~ spl0_471 ),
    inference(avatar_split_clause,[],[f115633,f9123,f5674,f2205,f117066]) ).

fof(f117066,plain,
    ( spl0_1290
  <=> ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,identity_relation))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1290])]) ).

fof(f9123,plain,
    ( spl0_471
  <=> member(identity_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f115633,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,identity_relation))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) )
    | ~ spl0_215
    | ~ spl0_379
    | ~ spl0_471 ),
    inference(forward_demodulation,[],[f115616,f2207]) ).

fof(f115616,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,identity_relation))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_379
    | ~ spl0_471 ),
    inference(resolution,[],[f9124,f5675]) ).

fof(f9124,plain,
    ( member(identity_relation,universal_class)
    | ~ spl0_471 ),
    inference(avatar_component_clause,[],[f9123]) ).

fof(f117064,plain,
    ( spl0_1289
    | ~ spl0_215
    | ~ spl0_379
    | ~ spl0_507 ),
    inference(avatar_split_clause,[],[f113685,f9868,f5674,f2205,f117062]) ).

fof(f117062,plain,
    ( spl0_1289
  <=> ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,subset_relation))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1289])]) ).

fof(f113685,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(identity_relation,cross_product(universal_class,subset_relation))),X1)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1) )
    | ~ spl0_215
    | ~ spl0_379
    | ~ spl0_507 ),
    inference(forward_demodulation,[],[f39984,f2207]) ).

fof(f39984,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,subset_relation))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_379
    | ~ spl0_507 ),
    inference(resolution,[],[f9869,f5675]) ).

fof(f9869,plain,
    ( member(subset_relation,universal_class)
    | ~ spl0_507 ),
    inference(avatar_component_clause,[],[f9868]) ).

fof(f117060,plain,
    ( ~ spl0_1288
    | ~ spl0_215
    | spl0_607
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f112238,f18488,f11781,f2205,f117057]) ).

fof(f117057,plain,
    ( spl0_1288
  <=> member(unordered_pair(unordered_pair(second(identity_relation),second(identity_relation)),unordered_pair(second(identity_relation),subset_relation)),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1288])]) ).

fof(f11781,plain,
    ( spl0_607
  <=> member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f112238,plain,
    ( ~ member(unordered_pair(unordered_pair(second(identity_relation),second(identity_relation)),unordered_pair(second(identity_relation),subset_relation)),cross_product(universal_class,universal_class))
    | ~ spl0_215
    | spl0_607
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f112173,f18490]) ).

fof(f112173,plain,
    ( ~ member(unordered_pair(unordered_pair(second(identity_relation),second(identity_relation)),unordered_pair(second(identity_relation),u)),cross_product(universal_class,universal_class))
    | ~ spl0_215
    | spl0_607 ),
    inference(superposition,[],[f11783,f2207]) ).

fof(f11783,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),cross_product(universal_class,universal_class))
    | spl0_607 ),
    inference(avatar_component_clause,[],[f11781]) ).

fof(f117054,plain,
    ( spl0_1287
    | ~ spl0_14
    | ~ spl0_93
    | ~ spl0_215
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f110805,f2696,f2205,f702,f228,f117052]) ).

fof(f117052,plain,
    ( spl0_1287
  <=> ! [X0] :
        ( ~ subclass(X0,null_class)
        | identity_relation = X0
        | member(regular(X0),null_class)
        | ~ member(regular(X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1287])]) ).

fof(f228,plain,
    ( spl0_14
  <=> null_class = complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f702,plain,
    ( spl0_93
  <=> ! [X0] :
        ( member(X0,null_class)
        | member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f110805,plain,
    ( ! [X0] :
        ( ~ subclass(X0,null_class)
        | identity_relation = X0
        | member(regular(X0),null_class)
        | ~ member(regular(X0),universal_class) )
    | ~ spl0_14
    | ~ spl0_93
    | ~ spl0_215
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f2804,f230]) ).

fof(f230,plain,
    ( null_class = complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f2804,plain,
    ( ! [X0] :
        ( identity_relation = X0
        | ~ subclass(X0,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(regular(X0),null_class)
        | ~ member(regular(X0),universal_class) )
    | ~ spl0_93
    | ~ spl0_215
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f2776,f2207]) ).

fof(f2776,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(regular(X0),null_class)
        | ~ member(regular(X0),universal_class) )
    | ~ spl0_93
    | ~ spl0_257 ),
    inference(resolution,[],[f2697,f703]) ).

fof(f703,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | member(X0,null_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f117049,plain,
    ( ~ spl0_1286
    | spl0_607
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f74845,f18488,f11781,f117046]) ).

fof(f117046,plain,
    ( spl0_1286
  <=> member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1286])]) ).

fof(f74845,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),cross_product(universal_class,universal_class))
    | spl0_607
    | ~ spl0_786 ),
    inference(superposition,[],[f11783,f18490]) ).

fof(f117044,plain,
    ( spl0_1285
    | ~ spl0_237
    | ~ spl0_1185 ),
    inference(avatar_split_clause,[],[f73821,f73795,f2400,f117042]) ).

fof(f117042,plain,
    ( spl0_1285
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1285])]) ).

fof(f73795,plain,
    ( spl0_1185
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1185])]) ).

fof(f73821,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_1185 ),
    inference(resolution,[],[f73796,f2401]) ).

fof(f73796,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_1185 ),
    inference(avatar_component_clause,[],[f73795]) ).

fof(f117040,plain,
    ( spl0_1284
    | ~ spl0_237
    | ~ spl0_1169 ),
    inference(avatar_split_clause,[],[f56227,f56149,f2400,f117038]) ).

fof(f117038,plain,
    ( spl0_1284
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1284])]) ).

fof(f56227,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ subclass(universal_class,complement(X1)) )
    | ~ spl0_237
    | ~ spl0_1169 ),
    inference(resolution,[],[f56150,f2401]) ).

fof(f117036,plain,
    ( spl0_1283
    | ~ spl0_770
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56031,f18488,f18290,f117034]) ).

fof(f117034,plain,
    ( spl0_1283
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1283])]) ).

fof(f18290,plain,
    ( spl0_770
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).

fof(f56031,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(X0,X2) )
    | ~ spl0_770
    | ~ spl0_786 ),
    inference(superposition,[],[f18291,f18490]) ).

fof(f18291,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(X0,X2) )
    | ~ spl0_770 ),
    inference(avatar_component_clause,[],[f18290]) ).

fof(f117030,plain,
    ( spl0_1282
    | ~ spl0_271
    | ~ spl0_1090 ),
    inference(avatar_split_clause,[],[f55356,f37093,f2905,f117028]) ).

fof(f2905,plain,
    ( spl0_271
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | member(regular(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f55356,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | null_class = X0
        | member(regular(X0),cross_product(universal_class,universal_class)) )
    | ~ spl0_271
    | ~ spl0_1090 ),
    inference(resolution,[],[f37094,f2906]) ).

fof(f2906,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | member(regular(X0),X1) )
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f2905]) ).

fof(f117023,plain,
    ( spl0_1281
    | ~ spl0_33
    | ~ spl0_797 ),
    inference(avatar_split_clause,[],[f36626,f18997,f318,f117021]) ).

fof(f117021,plain,
    ( spl0_1281
  <=> ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1281])]) ).

fof(f18997,plain,
    ( spl0_797
  <=> member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).

fof(f36626,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),X0) )
    | ~ spl0_33
    | ~ spl0_797 ),
    inference(resolution,[],[f18998,f319]) ).

fof(f18998,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
    | ~ spl0_797 ),
    inference(avatar_component_clause,[],[f18997]) ).

fof(f117018,plain,
    ( ~ spl0_595
    | ~ spl0_1280
    | ~ spl0_43
    | spl0_1035 ),
    inference(avatar_split_clause,[],[f31726,f31141,f386,f117015,f11502]) ).

fof(f11502,plain,
    ( spl0_595
  <=> member(subset_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f31726,plain,
    ( ~ member(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ member(subset_relation,subset_relation)
    | ~ spl0_43
    | spl0_1035 ),
    inference(resolution,[],[f31142,f387]) ).

fof(f117013,plain,
    ( ~ spl0_1278
    | spl0_1279
    | ~ spl0_215
    | ~ spl0_235
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116571,f18488,f9850,f5779,f4891,f2367,f2205,f117011,f117007]) ).

fof(f117007,plain,
    ( spl0_1278
  <=> subclass(second(identity_relation),intersection(complement(first(identity_relation)),complement(subset_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1278])]) ).

fof(f117011,plain,
    ( spl0_1279
  <=> ! [X0] : subclass(second(identity_relation),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1279])]) ).

fof(f2367,plain,
    ( spl0_235
  <=> ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f116571,plain,
    ( ! [X0] :
        ( subclass(second(identity_relation),X0)
        | ~ subclass(second(identity_relation),intersection(complement(first(identity_relation)),complement(subset_relation))) )
    | ~ spl0_215
    | ~ spl0_235
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116570,f2207]) ).

fof(f116570,plain,
    ( ! [X0] :
        ( ~ subclass(second(identity_relation),intersection(complement(first(identity_relation)),complement(subset_relation)))
        | subclass(second(null_class),X0) )
    | ~ spl0_215
    | ~ spl0_235
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116569,f2207]) ).

fof(f116569,plain,
    ( ! [X0] :
        ( ~ subclass(second(null_class),intersection(complement(first(null_class)),complement(subset_relation)))
        | subclass(second(null_class),X0) )
    | ~ spl0_235
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116568,f18490]) ).

fof(f116568,plain,
    ( ! [X0] :
        ( ~ subclass(second(null_class),intersection(complement(first(null_class)),complement(u)))
        | subclass(second(null_class),X0) )
    | ~ spl0_235
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f6550,f9916]) ).

fof(f6550,plain,
    ( ! [X0] :
        ( ~ subclass(second(null_class),intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
        | subclass(second(null_class),X0) )
    | ~ spl0_235
    | ~ spl0_388 ),
    inference(superposition,[],[f2368,f5781]) ).

fof(f2368,plain,
    ( ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1) )
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f2367]) ).

fof(f116838,plain,
    ( spl0_1277
    | ~ spl0_18
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116627,f18488,f9850,f5779,f4891,f2205,f245,f116836]) ).

fof(f116836,plain,
    ( spl0_1277
  <=> ! [X0] :
        ( ~ member(X0,intersection(complement(first(identity_relation)),complement(subset_relation)))
        | ~ member(X0,second(identity_relation)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1277])]) ).

fof(f116627,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(first(identity_relation)),complement(subset_relation)))
        | ~ member(X0,second(identity_relation)) )
    | ~ spl0_18
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116626,f2207]) ).

fof(f116626,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(first(null_class)),complement(subset_relation)))
        | ~ member(X0,second(identity_relation)) )
    | ~ spl0_18
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116625,f18490]) ).

fof(f116625,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(first(null_class)),complement(u)))
        | ~ member(X0,second(identity_relation)) )
    | ~ spl0_18
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f116624,f9916]) ).

fof(f116624,plain,
    ( ! [X0] :
        ( ~ member(X0,second(identity_relation))
        | ~ member(X0,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class))))) )
    | ~ spl0_18
    | ~ spl0_215
    | ~ spl0_388 ),
    inference(forward_demodulation,[],[f6537,f2207]) ).

fof(f6537,plain,
    ( ! [X0] :
        ( ~ member(X0,second(null_class))
        | ~ member(X0,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class))))) )
    | ~ spl0_18
    | ~ spl0_388 ),
    inference(superposition,[],[f246,f5781]) ).

fof(f116736,plain,
    ( ~ spl0_1275
    | ~ spl0_1276
    | ~ spl0_25
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116623,f18488,f9850,f5779,f4891,f2205,f276,f116733,f116729]) ).

fof(f116729,plain,
    ( spl0_1275
  <=> inductive(second(identity_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1275])]) ).

fof(f116733,plain,
    ( spl0_1276
  <=> member(identity_relation,intersection(complement(first(identity_relation)),complement(subset_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1276])]) ).

fof(f276,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ member(null_class,X0)
        | ~ inductive(complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f116623,plain,
    ( ~ member(identity_relation,intersection(complement(first(identity_relation)),complement(subset_relation)))
    | ~ inductive(second(identity_relation))
    | ~ spl0_25
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116622,f2207]) ).

fof(f116622,plain,
    ( ~ member(null_class,intersection(complement(first(null_class)),complement(subset_relation)))
    | ~ inductive(second(identity_relation))
    | ~ spl0_25
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116621,f18490]) ).

fof(f116621,plain,
    ( ~ member(null_class,intersection(complement(first(null_class)),complement(u)))
    | ~ inductive(second(identity_relation))
    | ~ spl0_25
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f116620,f9916]) ).

fof(f116620,plain,
    ( ~ inductive(second(identity_relation))
    | ~ member(null_class,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | ~ spl0_25
    | ~ spl0_215
    | ~ spl0_388 ),
    inference(forward_demodulation,[],[f6538,f2207]) ).

fof(f6538,plain,
    ( ~ inductive(second(null_class))
    | ~ member(null_class,intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | ~ spl0_25
    | ~ spl0_388 ),
    inference(superposition,[],[f277,f5781]) ).

fof(f277,plain,
    ( ! [X0] :
        ( ~ inductive(complement(X0))
        | ~ member(null_class,X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f116727,plain,
    ( spl0_1274
    | ~ spl0_215
    | ~ spl0_1272 ),
    inference(avatar_split_clause,[],[f116202,f116198,f2205,f116724]) ).

fof(f116724,plain,
    ( spl0_1274
  <=> identity_relation = intersection(cross_product(identity_relation,universal_class),domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1274])]) ).

fof(f116198,plain,
    ( spl0_1272
  <=> null_class = intersection(cross_product(null_class,universal_class),domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1272])]) ).

fof(f116202,plain,
    ( identity_relation = intersection(cross_product(identity_relation,universal_class),domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_215
    | ~ spl0_1272 ),
    inference(forward_demodulation,[],[f116200,f2207]) ).

fof(f116200,plain,
    ( null_class = intersection(cross_product(null_class,universal_class),domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_1272 ),
    inference(avatar_component_clause,[],[f116198]) ).

fof(f116719,plain,
    ( spl0_1232
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1230 ),
    inference(avatar_split_clause,[],[f116236,f114517,f18488,f3977,f2205,f114657]) ).

fof(f114657,plain,
    ( spl0_1232
  <=> member(identity_relation,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1232])]) ).

fof(f114517,plain,
    ( spl0_1230
  <=> member(unordered_pair(subset_relation,subset_relation),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1230])]) ).

fof(f116236,plain,
    ( member(identity_relation,successor_relation)
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1230 ),
    inference(forward_demodulation,[],[f116235,f2207]) ).

fof(f116235,plain,
    ( member(null_class,successor_relation)
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1230 ),
    inference(forward_demodulation,[],[f114519,f74837]) ).

fof(f114519,plain,
    ( member(unordered_pair(subset_relation,subset_relation),successor_relation)
    | ~ spl0_1230 ),
    inference(avatar_component_clause,[],[f114517]) ).

fof(f116655,plain,
    ( spl0_1231
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f116642,f18488,f9850,f5779,f4891,f2205,f114622]) ).

fof(f114622,plain,
    ( spl0_1231
  <=> second(identity_relation) = complement(intersection(complement(first(identity_relation)),complement(subset_relation))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1231])]) ).

fof(f116642,plain,
    ( second(identity_relation) = complement(intersection(complement(first(identity_relation)),complement(subset_relation)))
    | ~ spl0_215
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116641,f2207]) ).

fof(f116641,plain,
    ( second(null_class) = complement(intersection(complement(first(null_class)),complement(subset_relation)))
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f116640,f18490]) ).

fof(f116208,plain,
    ( spl0_1273
    | ~ spl0_215
    | ~ spl0_1242
    | ~ spl0_1272 ),
    inference(avatar_split_clause,[],[f116203,f116198,f114956,f2205,f116205]) ).

fof(f116205,plain,
    ( spl0_1273
  <=> successor_relation = intersection(cross_product(successor_relation,universal_class),domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1273])]) ).

fof(f116203,plain,
    ( successor_relation = intersection(cross_product(successor_relation,universal_class),domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_215
    | ~ spl0_1242
    | ~ spl0_1272 ),
    inference(forward_demodulation,[],[f116202,f115971]) ).

fof(f115971,plain,
    ( successor_relation = identity_relation
    | ~ spl0_215
    | ~ spl0_1242 ),
    inference(superposition,[],[f114958,f2207]) ).

fof(f114958,plain,
    ( null_class = successor_relation
    | ~ spl0_1242 ),
    inference(avatar_component_clause,[],[f114956]) ).

fof(f116201,plain,
    ( ~ spl0_1
    | spl0_1272
    | ~ spl0_61
    | ~ spl0_325
    | spl0_812 ),
    inference(avatar_split_clause,[],[f19736,f19719,f3977,f490,f116198,f170]) ).

fof(f19719,plain,
    ( spl0_812
  <=> member(u,domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).

fof(f19736,plain,
    ( null_class = intersection(cross_product(null_class,universal_class),domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ member(u,universal_class)
    | ~ spl0_61
    | ~ spl0_325
    | spl0_812 ),
    inference(forward_demodulation,[],[f19732,f3979]) ).

fof(f19732,plain,
    ( ~ member(u,universal_class)
    | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_61
    | spl0_812 ),
    inference(resolution,[],[f19721,f491]) ).

fof(f19721,plain,
    ( ~ member(u,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | spl0_812 ),
    inference(avatar_component_clause,[],[f19719]) ).

fof(f115969,plain,
    ( spl0_1271
    | ~ spl0_1
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f11795,f5669,f170,f115967]) ).

fof(f115967,plain,
    ( spl0_1271
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,u))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1271])]) ).

fof(f5669,plain,
    ( spl0_378
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f11795,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,u))),X1) )
    | ~ spl0_1
    | ~ spl0_378 ),
    inference(resolution,[],[f5670,f172]) ).

fof(f5670,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,universal_class)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X2) )
    | ~ spl0_378 ),
    inference(avatar_component_clause,[],[f5669]) ).

fof(f115964,plain,
    ( ~ spl0_1270
    | ~ spl0_12
    | spl0_387 ),
    inference(avatar_split_clause,[],[f5776,f5770,f220,f115961]) ).

fof(f115961,plain,
    ( spl0_1270
  <=> inductive(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1270])]) ).

fof(f220,plain,
    ( spl0_12
  <=> ! [X0] :
        ( ~ inductive(X0)
        | member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f5776,plain,
    ( ~ inductive(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | ~ spl0_12
    | spl0_387 ),
    inference(resolution,[],[f5772,f221]) ).

fof(f221,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | ~ inductive(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f115957,plain,
    ( spl0_1269
    | ~ spl0_1
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f5685,f5674,f170,f115955]) ).

fof(f115955,plain,
    ( spl0_1269
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,u))),X1)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1269])]) ).

fof(f5685,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,u))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_1
    | ~ spl0_379 ),
    inference(resolution,[],[f5675,f172]) ).

fof(f115952,plain,
    ( spl0_1268
    | ~ spl0_5
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f5683,f5674,f189,f115950]) ).

fof(f189,plain,
    ( spl0_5
  <=> member(omega,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f5683,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,omega))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_5
    | ~ spl0_379 ),
    inference(resolution,[],[f5675,f191]) ).

fof(f191,plain,
    ( member(omega,universal_class)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f115947,plain,
    ( spl0_1267
    | ~ spl0_84
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f5679,f5674,f638,f115945]) ).

fof(f115945,plain,
    ( spl0_1267
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,null_class))),X1)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1267])]) ).

fof(f638,plain,
    ( spl0_84
  <=> member(null_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f5679,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,null_class))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl0_84
    | ~ spl0_379 ),
    inference(resolution,[],[f5675,f639]) ).

fof(f639,plain,
    ( member(null_class,universal_class)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f115941,plain,
    ( spl0_1266
    | ~ spl0_305
    | ~ spl0_1169 ),
    inference(avatar_split_clause,[],[f56177,f56149,f3474,f115939]) ).

fof(f115939,plain,
    ( spl0_1266
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1266])]) ).

fof(f56177,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(subset_relation))
        | member(X0,universal_class) )
    | ~ spl0_305
    | ~ spl0_1169 ),
    inference(resolution,[],[f56150,f3475]) ).

fof(f115914,plain,
    ( spl0_784
    | spl0_1264
    | spl0_1265
    | ~ spl0_244
    | ~ spl0_1163 ),
    inference(avatar_split_clause,[],[f55643,f55633,f2475,f115912,f115909,f18479]) ).

fof(f18479,plain,
    ( spl0_784
  <=> member(second(subset_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).

fof(f115909,plain,
    ( spl0_1264
  <=> ! [X2] : ~ member(second(subset_relation),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1264])]) ).

fof(f115912,plain,
    ( spl0_1265
  <=> ! [X0,X1] : ~ member(subset_relation,compose(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1265])]) ).

fof(f2475,plain,
    ( spl0_244
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f55633,plain,
    ( spl0_1163
  <=> ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1163])]) ).

fof(f55643,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(subset_relation,compose(X0,X1))
        | ~ member(second(subset_relation),X2)
        | member(second(subset_relation),universal_class) )
    | ~ spl0_244
    | ~ spl0_1163 ),
    inference(resolution,[],[f55634,f2476]) ).

fof(f2476,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X2)
        | ~ member(X0,X1)
        | member(X0,universal_class) )
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f2475]) ).

fof(f55634,plain,
    ( ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) )
    | ~ spl0_1163 ),
    inference(avatar_component_clause,[],[f55633]) ).

fof(f115798,plain,
    ( spl0_1263
    | ~ spl0_215
    | ~ spl0_1262 ),
    inference(avatar_split_clause,[],[f115793,f115789,f2205,f115795]) ).

fof(f115795,plain,
    ( spl0_1263
  <=> identity_relation = intersection(cross_product(identity_relation,universal_class),regular(cross_product(subset_relation,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1263])]) ).

fof(f115789,plain,
    ( spl0_1262
  <=> null_class = intersection(cross_product(null_class,universal_class),regular(cross_product(subset_relation,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1262])]) ).

fof(f115793,plain,
    ( identity_relation = intersection(cross_product(identity_relation,universal_class),regular(cross_product(subset_relation,universal_class)))
    | ~ spl0_215
    | ~ spl0_1262 ),
    inference(forward_demodulation,[],[f115791,f2207]) ).

fof(f115791,plain,
    ( null_class = intersection(cross_product(null_class,universal_class),regular(cross_product(subset_relation,universal_class)))
    | ~ spl0_1262 ),
    inference(avatar_component_clause,[],[f115789]) ).

fof(f115792,plain,
    ( ~ spl0_1
    | spl0_1262
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_325
    | spl0_767 ),
    inference(avatar_split_clause,[],[f18278,f18261,f3977,f490,f390,f115789,f170]) ).

fof(f18278,plain,
    ( null_class = intersection(cross_product(null_class,universal_class),regular(cross_product(subset_relation,universal_class)))
    | ~ member(u,universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_325
    | spl0_767 ),
    inference(forward_demodulation,[],[f18277,f391]) ).

fof(f18277,plain,
    ( null_class = intersection(regular(cross_product(subset_relation,universal_class)),cross_product(null_class,universal_class))
    | ~ member(u,universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_325
    | spl0_767 ),
    inference(forward_demodulation,[],[f18276,f3979]) ).

fof(f18276,plain,
    ( null_class = intersection(regular(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(u,u),universal_class))
    | ~ member(u,universal_class)
    | ~ spl0_44
    | ~ spl0_61
    | spl0_767 ),
    inference(forward_demodulation,[],[f18274,f391]) ).

fof(f18274,plain,
    ( ~ member(u,universal_class)
    | null_class = intersection(cross_product(unordered_pair(u,u),universal_class),regular(cross_product(subset_relation,universal_class)))
    | ~ spl0_61
    | spl0_767 ),
    inference(resolution,[],[f18263,f491]) ).

fof(f115787,plain,
    ( spl0_1261
    | ~ spl0_116
    | ~ spl0_502 ),
    inference(avatar_split_clause,[],[f9840,f9817,f899,f115785]) ).

fof(f115785,plain,
    ( spl0_1261
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | subclass(X0,subset_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1261])]) ).

fof(f9817,plain,
    ( spl0_502
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f9840,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | subclass(X0,subset_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_116
    | ~ spl0_502 ),
    inference(duplicate_literal_removal,[],[f9829]) ).

fof(f9829,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | subclass(X0,subset_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_116
    | ~ spl0_502 ),
    inference(resolution,[],[f9818,f900]) ).

fof(f9818,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | ~ member(not_subclass_element(X0,subset_relation),null_class)
        | subclass(X0,subset_relation) )
    | ~ spl0_502 ),
    inference(avatar_component_clause,[],[f9817]) ).

fof(f115767,plain,
    ( spl0_1259
    | spl0_1260
    | ~ spl0_148
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(avatar_split_clause,[],[f5988,f5783,f5657,f2341,f1276,f115765,f115761]) ).

fof(f115761,plain,
    ( spl0_1259
  <=> member(successor_relation,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1259])]) ).

fof(f115765,plain,
    ( spl0_1260
  <=> ! [X0] :
        ( successor_relation = X0
        | ~ subclass(universal_class,regular(X0))
        | ~ member(successor_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1260])]) ).

fof(f2341,plain,
    ( spl0_230
  <=> ! [X0] :
        ( member(null_class,X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f5657,plain,
    ( spl0_375
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),null_class)
        | ~ member(unordered_pair(X0,X1),X2)
        | null_class = X2
        | ~ subclass(universal_class,regular(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f5783,plain,
    ( spl0_389
  <=> member(null_class,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f5988,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | member(successor_relation,successor_relation)
        | ~ member(successor_relation,X0)
        | ~ subclass(universal_class,regular(X0)) )
    | ~ spl0_148
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(forward_demodulation,[],[f5987,f5787]) ).

fof(f5787,plain,
    ( null_class = successor_relation
    | ~ spl0_230
    | spl0_389 ),
    inference(resolution,[],[f5785,f2342]) ).

fof(f2342,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | null_class = X0 )
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f2341]) ).

fof(f5785,plain,
    ( ~ member(null_class,successor_relation)
    | spl0_389 ),
    inference(avatar_component_clause,[],[f5783]) ).

fof(f5987,plain,
    ( ! [X0] :
        ( member(successor_relation,successor_relation)
        | ~ member(successor_relation,X0)
        | null_class = X0
        | ~ subclass(universal_class,regular(X0)) )
    | ~ spl0_148
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(forward_demodulation,[],[f5986,f5787]) ).

fof(f5986,plain,
    ( ! [X0] :
        ( ~ member(successor_relation,X0)
        | member(null_class,null_class)
        | null_class = X0
        | ~ subclass(universal_class,regular(X0)) )
    | ~ spl0_148
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(forward_demodulation,[],[f5921,f5787]) ).

fof(f5921,plain,
    ( ! [X0] :
        ( ~ member(null_class,X0)
        | member(null_class,null_class)
        | null_class = X0
        | ~ subclass(universal_class,regular(X0)) )
    | ~ spl0_148
    | ~ spl0_375 ),
    inference(superposition,[],[f5658,f1278]) ).

fof(f5658,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(X0,X1),X2)
        | member(unordered_pair(X0,X1),null_class)
        | null_class = X2
        | ~ subclass(universal_class,regular(X2)) )
    | ~ spl0_375 ),
    inference(avatar_component_clause,[],[f5657]) ).

fof(f115759,plain,
    ( ~ spl0_1258
    | spl0_100
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2221,f2205,f781,f115756]) ).

fof(f115756,plain,
    ( spl0_1258
  <=> member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(identity_relation,universal_class)),universal_class))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1258])]) ).

fof(f781,plain,
    ( spl0_100
  <=> member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(null_class,universal_class)),universal_class))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2221,plain,
    ( ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(identity_relation,universal_class)),universal_class))))),universal_class)
    | spl0_100
    | ~ spl0_215 ),
    inference(superposition,[],[f782,f2207]) ).

fof(f782,plain,
    ( ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(null_class,universal_class)),universal_class))))),universal_class)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f115751,plain,
    ( spl0_1257
    | ~ spl0_215
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f112116,f4840,f2205,f115748]) ).

fof(f115748,plain,
    ( spl0_1257
  <=> member(identity_relation,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1257])]) ).

fof(f4840,plain,
    ( spl0_360
  <=> member(null_class,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f112116,plain,
    ( member(identity_relation,element_relation)
    | ~ spl0_215
    | ~ spl0_360 ),
    inference(superposition,[],[f4841,f2207]) ).

fof(f4841,plain,
    ( member(null_class,element_relation)
    | ~ spl0_360 ),
    inference(avatar_component_clause,[],[f4840]) ).

fof(f115745,plain,
    ( ~ spl0_1137
    | ~ spl0_215
    | spl0_216
    | ~ spl0_664 ),
    inference(avatar_split_clause,[],[f115726,f14831,f2209,f2205,f39967]) ).

fof(f39967,plain,
    ( spl0_1137
  <=> subclass(identity_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1137])]) ).

fof(f2209,plain,
    ( spl0_216
  <=> member(regular(identity_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f14831,plain,
    ( spl0_664
  <=> ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(regular(identity_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f115726,plain,
    ( ~ subclass(identity_relation,subset_relation)
    | ~ spl0_215
    | spl0_216
    | ~ spl0_664 ),
    inference(forward_demodulation,[],[f114164,f2207]) ).

fof(f114164,plain,
    ( ~ subclass(null_class,subset_relation)
    | spl0_216
    | ~ spl0_664 ),
    inference(resolution,[],[f14832,f2210]) ).

fof(f2210,plain,
    ( ~ member(regular(identity_relation),subset_relation)
    | spl0_216 ),
    inference(avatar_component_clause,[],[f2209]) ).

fof(f14832,plain,
    ( ! [X0] :
        ( member(regular(identity_relation),X0)
        | ~ subclass(null_class,X0) )
    | ~ spl0_664 ),
    inference(avatar_component_clause,[],[f14831]) ).

fof(f115744,plain,
    ( spl0_264
    | ~ spl0_196
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f112085,f2205,f1975,f2858]) ).

fof(f2858,plain,
    ( spl0_264
  <=> member(identity_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f1975,plain,
    ( spl0_196
  <=> member(null_class,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f112085,plain,
    ( member(identity_relation,subset_relation)
    | ~ spl0_196
    | ~ spl0_215 ),
    inference(superposition,[],[f1976,f2207]) ).

fof(f1976,plain,
    ( member(null_class,subset_relation)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1975]) ).

fof(f115694,plain,
    ( spl0_491
    | ~ spl0_1138 ),
    inference(avatar_contradiction_clause,[],[f115644]) ).

fof(f115644,plain,
    ( $false
    | spl0_491
    | ~ spl0_1138 ),
    inference(resolution,[],[f39973,f9542]) ).

fof(f9542,plain,
    ( ~ subclass(null_class,subset_relation)
    | spl0_491 ),
    inference(avatar_component_clause,[],[f9540]) ).

fof(f9540,plain,
    ( spl0_491
  <=> subclass(null_class,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f115600,plain,
    ( spl0_471
    | ~ spl0_84
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2217,f2205,f638,f9123]) ).

fof(f2217,plain,
    ( member(identity_relation,universal_class)
    | ~ spl0_84
    | ~ spl0_215 ),
    inference(superposition,[],[f639,f2207]) ).

fof(f115533,plain,
    ( ~ spl0_1256
    | ~ spl0_215
    | spl0_1254 ),
    inference(avatar_split_clause,[],[f115524,f115520,f2205,f115530]) ).

fof(f115530,plain,
    ( spl0_1256
  <=> member(unordered_pair(unordered_pair(second(identity_relation),second(identity_relation)),unordered_pair(second(identity_relation),subset_relation)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1256])]) ).

fof(f115520,plain,
    ( spl0_1254
  <=> member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1254])]) ).

fof(f115524,plain,
    ( ~ member(unordered_pair(unordered_pair(second(identity_relation),second(identity_relation)),unordered_pair(second(identity_relation),subset_relation)),subset_relation)
    | ~ spl0_215
    | spl0_1254 ),
    inference(forward_demodulation,[],[f115522,f2207]) ).

fof(f115522,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),subset_relation)
    | spl0_1254 ),
    inference(avatar_component_clause,[],[f115520]) ).

fof(f115528,plain,
    ( spl0_1255
    | ~ spl0_22
    | ~ spl0_215
    | ~ spl0_672 ),
    inference(avatar_split_clause,[],[f113799,f15215,f2205,f264,f115526]) ).

fof(f115526,plain,
    ( spl0_1255
  <=> ! [X0] :
        ( ~ member(not_subclass_element(subset_relation,intersection(X0,identity_relation)),X0)
        | subclass(subset_relation,intersection(X0,identity_relation)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1255])]) ).

fof(f264,plain,
    ( spl0_22
  <=> ! [X0,X1] :
        ( subclass(X0,X1)
        | member(not_subclass_element(X0,X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f113799,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(subset_relation,intersection(X0,identity_relation)),X0)
        | subclass(subset_relation,intersection(X0,identity_relation)) )
    | ~ spl0_22
    | ~ spl0_215
    | ~ spl0_672 ),
    inference(forward_demodulation,[],[f113798,f2207]) ).

fof(f113798,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(X0,identity_relation))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0) )
    | ~ spl0_22
    | ~ spl0_215
    | ~ spl0_672 ),
    inference(forward_demodulation,[],[f112310,f2207]) ).

fof(f112310,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0) )
    | ~ spl0_22
    | ~ spl0_672 ),
    inference(duplicate_literal_removal,[],[f112281]) ).

fof(f112281,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0)
        | subclass(subset_relation,intersection(X0,null_class)) )
    | ~ spl0_22
    | ~ spl0_672 ),
    inference(resolution,[],[f15216,f265]) ).

fof(f265,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),X0)
        | subclass(X0,X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f115523,plain,
    ( ~ spl0_1254
    | ~ spl0_786
    | spl0_1127 ),
    inference(avatar_split_clause,[],[f107759,f39732,f18488,f115520]) ).

fof(f39732,plain,
    ( spl0_1127
  <=> member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1127])]) ).

fof(f107759,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),subset_relation)
    | ~ spl0_786
    | spl0_1127 ),
    inference(forward_demodulation,[],[f39734,f18490]) ).

fof(f39734,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),subset_relation)
    | spl0_1127 ),
    inference(avatar_component_clause,[],[f39732]) ).

fof(f115517,plain,
    ( spl0_1253
    | ~ spl0_68
    | ~ spl0_248
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f64106,f9850,f4891,f2591,f540,f115514]) ).

fof(f115514,plain,
    ( spl0_1253
  <=> null_class = unordered_pair(u,unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1253])]) ).

fof(f64106,plain,
    ( null_class = unordered_pair(u,unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))))
    | ~ spl0_68
    | ~ spl0_248
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f2614,f9916]) ).

fof(f2614,plain,
    ( 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))))
    | ~ spl0_68
    | ~ spl0_248 ),
    inference(resolution,[],[f2593,f541]) ).

fof(f115512,plain,
    ( spl0_1252
    | ~ spl0_765
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56029,f18488,f18253,f115510]) ).

fof(f115510,plain,
    ( spl0_1252
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),element_relation)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1252])]) ).

fof(f18253,plain,
    ( spl0_765
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).

fof(f56029,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),element_relation)
        | member(subset_relation,X0) )
    | ~ spl0_765
    | ~ spl0_786 ),
    inference(superposition,[],[f18254,f18490]) ).

fof(f18254,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | member(u,X0) )
    | ~ spl0_765 ),
    inference(avatar_component_clause,[],[f18253]) ).

fof(f115419,plain,
    ( spl0_1251
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1250 ),
    inference(avatar_split_clause,[],[f115414,f115408,f18488,f3977,f2205,f115416]) ).

fof(f115416,plain,
    ( spl0_1251
  <=> member(unordered_pair(subset_relation,unordered_pair(subset_relation,identity_relation)),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1251])]) ).

fof(f115408,plain,
    ( spl0_1250
  <=> member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1250])]) ).

fof(f115414,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,identity_relation)),element_relation)
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1250 ),
    inference(forward_demodulation,[],[f115413,f18490]) ).

fof(f115413,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,identity_relation)),element_relation)
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1250 ),
    inference(forward_demodulation,[],[f115412,f2207]) ).

fof(f115412,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,null_class)),element_relation)
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1250 ),
    inference(forward_demodulation,[],[f115410,f74837]) ).

fof(f115410,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),element_relation)
    | ~ spl0_1250 ),
    inference(avatar_component_clause,[],[f115408]) ).

fof(f115411,plain,
    ( ~ spl0_104
    | spl0_1250
    | ~ spl0_782
    | ~ spl0_797 ),
    inference(avatar_split_clause,[],[f36617,f18997,f18471,f115408,f810]) ).

fof(f18471,plain,
    ( spl0_782
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).

fof(f36617,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),element_relation)
    | ~ member(u,subset_relation)
    | ~ spl0_782
    | ~ spl0_797 ),
    inference(resolution,[],[f18998,f18472]) ).

fof(f18472,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(u,X0) )
    | ~ spl0_782 ),
    inference(avatar_component_clause,[],[f18471]) ).

fof(f115406,plain,
    ( ~ spl0_1247
    | spl0_1248
    | spl0_1249
    | ~ spl0_9
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(avatar_split_clause,[],[f5932,f5783,f5657,f2341,f206,f115403,f115400,f115396]) ).

fof(f115396,plain,
    ( spl0_1247
  <=> subclass(universal_class,regular(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1247])]) ).

fof(f115400,plain,
    ( spl0_1248
  <=> ! [X0,X1] : member(unordered_pair(X0,X1),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1248])]) ).

fof(f115403,plain,
    ( spl0_1249
  <=> universal_class = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1249])]) ).

fof(f5932,plain,
    ( ! [X0,X1] :
        ( universal_class = successor_relation
        | member(unordered_pair(X0,X1),successor_relation)
        | ~ subclass(universal_class,regular(universal_class)) )
    | ~ spl0_9
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(forward_demodulation,[],[f5931,f5787]) ).

fof(f5931,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(X0,X1),successor_relation)
        | universal_class = null_class
        | ~ subclass(universal_class,regular(universal_class)) )
    | ~ spl0_9
    | ~ spl0_230
    | ~ spl0_375
    | spl0_389 ),
    inference(forward_demodulation,[],[f5897,f5787]) ).

fof(f5897,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(X0,X1),null_class)
        | universal_class = null_class
        | ~ subclass(universal_class,regular(universal_class)) )
    | ~ spl0_9
    | ~ spl0_375 ),
    inference(resolution,[],[f5658,f207]) ).

fof(f115020,plain,
    ( spl0_1246
    | ~ spl0_786
    | ~ spl0_1069 ),
    inference(avatar_split_clause,[],[f114753,f32243,f18488,f115017]) ).

fof(f115017,plain,
    ( spl0_1246
  <=> member(subset_relation,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1246])]) ).

fof(f32243,plain,
    ( spl0_1069
  <=> member(u,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).

fof(f114753,plain,
    ( member(subset_relation,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
    | ~ spl0_786
    | ~ spl0_1069 ),
    inference(forward_demodulation,[],[f32245,f18490]) ).

fof(f32245,plain,
    ( member(u,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
    | ~ spl0_1069 ),
    inference(avatar_component_clause,[],[f32243]) ).

fof(f114981,plain,
    ( spl0_1245
    | ~ spl0_786
    | ~ spl0_1070 ),
    inference(avatar_split_clause,[],[f113940,f32249,f18488,f114979]) ).

fof(f114979,plain,
    ( spl0_1245
  <=> ! [X0] :
        ( subset_relation = not_subclass_element(subset_relation,X0)
        | ~ subclass(X0,subset_relation)
        | subset_relation = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1245])]) ).

fof(f32249,plain,
    ( spl0_1070
  <=> ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | u = not_subclass_element(subset_relation,X0)
        | subset_relation = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).

fof(f113940,plain,
    ( ! [X0] :
        ( subset_relation = not_subclass_element(subset_relation,X0)
        | ~ subclass(X0,subset_relation)
        | subset_relation = X0 )
    | ~ spl0_786
    | ~ spl0_1070 ),
    inference(forward_demodulation,[],[f32250,f18490]) ).

fof(f32250,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | u = not_subclass_element(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_1070 ),
    inference(avatar_component_clause,[],[f32249]) ).

fof(f114977,plain,
    ( spl0_1244
    | ~ spl0_215
    | ~ spl0_1066 ),
    inference(avatar_split_clause,[],[f113860,f32197,f2205,f114975]) ).

fof(f114975,plain,
    ( spl0_1244
  <=> ! [X0,X1] :
        ( ~ subclass(identity_relation,X1)
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1244])]) ).

fof(f32197,plain,
    ( spl0_1066
  <=> ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | ~ subclass(null_class,X1)
        | member(not_subclass_element(subset_relation,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).

fof(f113860,plain,
    ( ! [X0,X1] :
        ( ~ subclass(identity_relation,X1)
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) )
    | ~ spl0_215
    | ~ spl0_1066 ),
    inference(forward_demodulation,[],[f32198,f2207]) ).

fof(f32198,plain,
    ( ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | ~ subclass(null_class,X1)
        | member(not_subclass_element(subset_relation,X0),X1) )
    | ~ spl0_1066 ),
    inference(avatar_component_clause,[],[f32197]) ).

fof(f114973,plain,
    ( spl0_1243
    | ~ spl0_215
    | ~ spl0_1065 ),
    inference(avatar_split_clause,[],[f113859,f32192,f2205,f114971]) ).

fof(f114971,plain,
    ( spl0_1243
  <=> ! [X0,X1] :
        ( identity_relation = X1
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1243])]) ).

fof(f32192,plain,
    ( spl0_1065
  <=> ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).

fof(f113859,plain,
    ( ! [X0,X1] :
        ( identity_relation = X1
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) )
    | ~ spl0_215
    | ~ spl0_1065 ),
    inference(forward_demodulation,[],[f32193,f2207]) ).

fof(f32193,plain,
    ( ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1)
        | null_class = X1 )
    | ~ spl0_1065 ),
    inference(avatar_component_clause,[],[f32192]) ).

fof(f114959,plain,
    ( spl0_1242
    | ~ spl0_230
    | spl0_389 ),
    inference(avatar_split_clause,[],[f5787,f5783,f2341,f114956]) ).

fof(f114954,plain,
    ( spl0_1241
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1240 ),
    inference(avatar_split_clause,[],[f114949,f114944,f18488,f3977,f2205,f114951]) ).

fof(f114951,plain,
    ( spl0_1241
  <=> member(unordered_pair(subset_relation,unordered_pair(subset_relation,identity_relation)),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1241])]) ).

fof(f114944,plain,
    ( spl0_1240
  <=> member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1240])]) ).

fof(f114949,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,identity_relation)),cross_product(universal_class,universal_class))
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1240 ),
    inference(forward_demodulation,[],[f114948,f2207]) ).

fof(f114948,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,null_class)),cross_product(universal_class,universal_class))
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1240 ),
    inference(forward_demodulation,[],[f114946,f74837]) ).

fof(f114946,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
    | ~ spl0_1240 ),
    inference(avatar_component_clause,[],[f114944]) ).

fof(f114947,plain,
    ( spl0_1240
    | ~ spl0_786
    | ~ spl0_797 ),
    inference(avatar_split_clause,[],[f74862,f18997,f18488,f114944]) ).

fof(f74862,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
    | ~ spl0_786
    | ~ spl0_797 ),
    inference(superposition,[],[f18998,f18490]) ).

fof(f114752,plain,
    ( spl0_1069
    | ~ spl0_28
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f11574,f11569,f288,f32243]) ).

fof(f11574,plain,
    ( member(u,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
    | ~ spl0_28
    | ~ spl0_596 ),
    inference(resolution,[],[f11571,f289]) ).

fof(f114751,plain,
    ( ~ spl0_359
    | spl0_207
    | ~ spl0_196
    | ~ spl0_148
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f9161,f9152,f1276,f1975,f2052,f4836]) ).

fof(f4836,plain,
    ( spl0_359
  <=> member(first(null_class),second(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f2052,plain,
    ( spl0_207
  <=> member(null_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f9152,plain,
    ( spl0_477
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f9161,plain,
    ( ~ member(null_class,subset_relation)
    | member(null_class,null_class)
    | ~ member(first(null_class),second(null_class))
    | ~ spl0_148
    | ~ spl0_477 ),
    inference(superposition,[],[f9153,f1278]) ).

fof(f9153,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
        | ~ member(X0,X1) )
    | ~ spl0_477 ),
    inference(avatar_component_clause,[],[f9152]) ).

fof(f114750,plain,
    ( spl0_1239
    | ~ spl0_21
    | ~ spl0_230
    | spl0_389
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f6406,f6363,f5783,f2341,f257,f114748]) ).

fof(f114748,plain,
    ( spl0_1239
  <=> ! [X0] :
        ( successor_relation = X0
        | member(regular(X0),successor_relation)
        | ~ subclass(X0,regular(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1239])]) ).

fof(f257,plain,
    ( spl0_21
  <=> ! [X0] :
        ( null_class = X0
        | member(regular(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f6363,plain,
    ( spl0_393
  <=> ! [X0,X1] :
        ( successor_relation = X0
        | successor_relation = X1
        | member(regular(X0),successor_relation)
        | ~ member(regular(X0),X1)
        | ~ subclass(X0,regular(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f6406,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | member(regular(X0),successor_relation)
        | ~ subclass(X0,regular(X0)) )
    | ~ spl0_21
    | ~ spl0_230
    | spl0_389
    | ~ spl0_393 ),
    inference(duplicate_literal_removal,[],[f6405]) ).

fof(f6405,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | successor_relation = X0
        | member(regular(X0),successor_relation)
        | ~ subclass(X0,regular(X0)) )
    | ~ spl0_21
    | ~ spl0_230
    | spl0_389
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f6404,f5787]) ).

fof(f6404,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | member(regular(X0),successor_relation)
        | ~ subclass(X0,regular(X0))
        | null_class = X0 )
    | ~ spl0_21
    | ~ spl0_393 ),
    inference(duplicate_literal_removal,[],[f6366]) ).

fof(f6366,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | member(regular(X0),successor_relation)
        | successor_relation = X0
        | ~ subclass(X0,regular(X0))
        | null_class = X0 )
    | ~ spl0_21
    | ~ spl0_393 ),
    inference(resolution,[],[f6364,f258]) ).

fof(f258,plain,
    ( ! [X0] :
        ( member(regular(X0),X0)
        | null_class = X0 )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f6364,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(X0),X1)
        | successor_relation = X1
        | member(regular(X0),successor_relation)
        | successor_relation = X0
        | ~ subclass(X0,regular(X1)) )
    | ~ spl0_393 ),
    inference(avatar_component_clause,[],[f6363]) ).

fof(f114703,plain,
    ( spl0_742
    | ~ spl0_6
    | ~ spl0_215
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f113823,f12766,f2205,f194,f17480]) ).

fof(f12766,plain,
    ( spl0_611
  <=> ! [X0] :
        ( subclass(X0,null_class)
        | ~ subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f113823,plain,
    ( subclass(subset_relation,identity_relation)
    | ~ spl0_6
    | ~ spl0_215
    | ~ spl0_611 ),
    inference(forward_demodulation,[],[f13245,f2207]) ).

fof(f13245,plain,
    ( subclass(subset_relation,null_class)
    | ~ spl0_6
    | ~ spl0_611 ),
    inference(resolution,[],[f12767,f195]) ).

fof(f12767,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | subclass(X0,null_class) )
    | ~ spl0_611 ),
    inference(avatar_component_clause,[],[f12766]) ).

fof(f114702,plain,
    ( spl0_1238
    | ~ spl0_33
    | ~ spl0_1155 ),
    inference(avatar_split_clause,[],[f114508,f41659,f318,f114700]) ).

fof(f114700,plain,
    ( spl0_1238
  <=> ! [X0] :
        ( ~ subclass(intersection(subset_relation,cross_product(universal_class,universal_class)),X0)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1238])]) ).

fof(f41659,plain,
    ( spl0_1155
  <=> member(subset_relation,intersection(subset_relation,cross_product(universal_class,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1155])]) ).

fof(f114508,plain,
    ( ! [X0] :
        ( ~ subclass(intersection(subset_relation,cross_product(universal_class,universal_class)),X0)
        | member(subset_relation,X0) )
    | ~ spl0_33
    | ~ spl0_1155 ),
    inference(resolution,[],[f41661,f319]) ).

fof(f41661,plain,
    ( member(subset_relation,intersection(subset_relation,cross_product(universal_class,universal_class)))
    | ~ spl0_1155 ),
    inference(avatar_component_clause,[],[f41659]) ).

fof(f114698,plain,
    ( spl0_1237
    | ~ spl0_786
    | ~ spl0_1057 ),
    inference(avatar_split_clause,[],[f113939,f31969,f18488,f114696]) ).

fof(f114696,plain,
    ( spl0_1237
  <=> ! [X0] :
        ( regular(X0) = subset_relation
        | ~ subclass(X0,subset_relation)
        | subset_relation = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1237])]) ).

fof(f31969,plain,
    ( spl0_1057
  <=> ! [X0] :
        ( subset_relation = X0
        | ~ subclass(X0,subset_relation)
        | regular(X0) = u ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).

fof(f113939,plain,
    ( ! [X0] :
        ( regular(X0) = subset_relation
        | ~ subclass(X0,subset_relation)
        | subset_relation = X0 )
    | ~ spl0_786
    | ~ spl0_1057 ),
    inference(forward_demodulation,[],[f31970,f18490]) ).

fof(f31970,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | subset_relation = X0
        | regular(X0) = u )
    | ~ spl0_1057 ),
    inference(avatar_component_clause,[],[f31969]) ).

fof(f114694,plain,
    ( spl0_1236
    | ~ spl0_215
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f112152,f10857,f2205,f114692]) ).

fof(f114692,plain,
    ( spl0_1236
  <=> ! [X0] :
        ( ~ member(not_subclass_element(complement(identity_relation),X0),subset_relation)
        | subclass(complement(identity_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1236])]) ).

fof(f10857,plain,
    ( spl0_559
  <=> ! [X0] :
        ( subclass(complement(null_class),X0)
        | ~ member(not_subclass_element(complement(null_class),X0),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f112152,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(identity_relation),X0),subset_relation)
        | subclass(complement(identity_relation),X0) )
    | ~ spl0_215
    | ~ spl0_559 ),
    inference(superposition,[],[f10858,f2207]) ).

fof(f10858,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(null_class),X0),subset_relation)
        | subclass(complement(null_class),X0) )
    | ~ spl0_559 ),
    inference(avatar_component_clause,[],[f10857]) ).

fof(f114688,plain,
    ( ~ spl0_1235
    | ~ spl0_215
    | spl0_601 ),
    inference(avatar_split_clause,[],[f112169,f11602,f2205,f114685]) ).

fof(f112169,plain,
    ( ~ member(second(identity_relation),domain_of(domain_of(flip(cross_product(identity_relation,universal_class)))))
    | ~ spl0_215
    | spl0_601 ),
    inference(superposition,[],[f11604,f2207]) ).

fof(f114683,plain,
    ( spl0_1234
    | ~ spl0_215
    | ~ spl0_1033 ),
    inference(avatar_split_clause,[],[f113938,f30341,f2205,f114681]) ).

fof(f114681,plain,
    ( spl0_1234
  <=> ! [X0] :
        ( subclass(subset_relation,intersection(identity_relation,X0))
        | ~ subclass(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1234])]) ).

fof(f30341,plain,
    ( spl0_1033
  <=> ! [X0] :
        ( subclass(subset_relation,intersection(null_class,X0))
        | ~ subclass(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).

fof(f113938,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(identity_relation,X0))
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_215
    | ~ spl0_1033 ),
    inference(forward_demodulation,[],[f30342,f2207]) ).

fof(f30342,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(null_class,X0))
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_1033 ),
    inference(avatar_component_clause,[],[f30341]) ).

fof(f114672,plain,
    ( spl0_1233
    | ~ spl0_215
    | ~ spl0_1227 ),
    inference(avatar_split_clause,[],[f114128,f114125,f2205,f114670]) ).

fof(f114125,plain,
    ( spl0_1227
  <=> ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1227])]) ).

fof(f114128,plain,
    ( ! [X0] :
        ( ~ subclass(identity_relation,X0)
        | member(subset_relation,X0) )
    | ~ spl0_215
    | ~ spl0_1227 ),
    inference(forward_demodulation,[],[f114126,f2207]) ).

fof(f114126,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(subset_relation,X0) )
    | ~ spl0_1227 ),
    inference(avatar_component_clause,[],[f114125]) ).

fof(f114661,plain,
    ( ~ spl0_1141
    | ~ spl0_215
    | spl0_1210 ),
    inference(avatar_split_clause,[],[f112196,f87211,f2205,f40644]) ).

fof(f112196,plain,
    ( ~ member(subset_relation,identity_relation)
    | ~ spl0_215
    | spl0_1210 ),
    inference(superposition,[],[f87213,f2207]) ).

fof(f114660,plain,
    ( ~ spl0_1232
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | spl0_1230 ),
    inference(avatar_split_clause,[],[f114554,f114517,f18488,f3977,f2205,f114657]) ).

fof(f114554,plain,
    ( ~ member(identity_relation,successor_relation)
    | ~ spl0_215
    | ~ spl0_325
    | ~ spl0_786
    | spl0_1230 ),
    inference(forward_demodulation,[],[f114553,f2207]) ).

fof(f114553,plain,
    ( ~ member(null_class,successor_relation)
    | ~ spl0_325
    | ~ spl0_786
    | spl0_1230 ),
    inference(forward_demodulation,[],[f114518,f74837]) ).

fof(f114518,plain,
    ( ~ member(unordered_pair(subset_relation,subset_relation),successor_relation)
    | spl0_1230 ),
    inference(avatar_component_clause,[],[f114517]) ).

fof(f114625,plain,
    ( ~ spl0_1231
    | ~ spl0_215
    | ~ spl0_366
    | spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f114620,f18488,f9850,f5779,f4891,f2205,f114622]) ).

fof(f114620,plain,
    ( second(identity_relation) != complement(intersection(complement(first(identity_relation)),complement(subset_relation)))
    | ~ spl0_215
    | ~ spl0_366
    | spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f114619,f2207]) ).

fof(f114619,plain,
    ( second(null_class) != complement(intersection(complement(first(null_class)),complement(subset_relation)))
    | ~ spl0_366
    | spl0_388
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f114618,f18490]) ).

fof(f114618,plain,
    ( second(null_class) != complement(intersection(complement(first(null_class)),complement(u)))
    | ~ spl0_366
    | spl0_388
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f5780,f9916]) ).

fof(f5780,plain,
    ( second(null_class) != complement(intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | spl0_388 ),
    inference(avatar_component_clause,[],[f5779]) ).

fof(f114520,plain,
    ( ~ spl0_196
    | spl0_1230
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f77866,f18488,f14424,f9850,f7172,f5779,f4891,f3977,f114517,f1975]) ).

fof(f7172,plain,
    ( spl0_425
  <=> member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f14424,plain,
    ( spl0_652
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f77866,plain,
    ( member(unordered_pair(subset_relation,subset_relation),successor_relation)
    | ~ member(null_class,subset_relation)
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f77865,f18490]) ).

fof(f77865,plain,
    ( member(unordered_pair(u,subset_relation),successor_relation)
    | ~ member(null_class,subset_relation)
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f77864,f9916]) ).

fof(f77864,plain,
    ( member(unordered_pair(unordered_pair(first(null_class),first(null_class)),subset_relation),successor_relation)
    | ~ member(null_class,subset_relation)
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f77863,f18490]) ).

fof(f77863,plain,
    ( member(unordered_pair(unordered_pair(first(null_class),first(null_class)),u),successor_relation)
    | ~ member(null_class,subset_relation)
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652 ),
    inference(forward_demodulation,[],[f14449,f9917]) ).

fof(f9917,plain,
    ( u = unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(resolution,[],[f9851,f7174]) ).

fof(f7174,plain,
    ( member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),null_class)
    | ~ spl0_425 ),
    inference(avatar_component_clause,[],[f7172]) ).

fof(f14449,plain,
    ( ~ member(null_class,subset_relation)
    | member(unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))),successor_relation)
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652 ),
    inference(forward_demodulation,[],[f14448,f3979]) ).

fof(f14448,plain,
    ( ~ member(unordered_pair(u,u),subset_relation)
    | member(unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))),successor_relation)
    | ~ spl0_366
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652 ),
    inference(forward_demodulation,[],[f14447,f9916]) ).

fof(f14447,plain,
    ( ~ member(unordered_pair(unordered_pair(first(null_class),first(null_class)),u),subset_relation)
    | member(unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))),successor_relation)
    | ~ spl0_388
    | ~ spl0_425
    | ~ spl0_503
    | ~ spl0_652 ),
    inference(forward_demodulation,[],[f14443,f9917]) ).

fof(f14443,plain,
    ( ~ member(unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))),subset_relation)
    | member(unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))),successor_relation)
    | ~ spl0_388
    | ~ spl0_652 ),
    inference(superposition,[],[f14425,f5781]) ).

fof(f14425,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation) )
    | ~ spl0_652 ),
    inference(avatar_component_clause,[],[f14424]) ).

fof(f114515,plain,
    ( ~ spl0_1229
    | ~ spl0_786
    | spl0_789 ),
    inference(avatar_split_clause,[],[f56038,f18820,f18488,f114512]) ).

fof(f114512,plain,
    ( spl0_1229
  <=> member(complement(intersection(complement(subset_relation),complement(subset_relation))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1229])]) ).

fof(f18820,plain,
    ( spl0_789
  <=> member(complement(intersection(complement(u),complement(subset_relation))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).

fof(f56038,plain,
    ( ~ member(complement(intersection(complement(subset_relation),complement(subset_relation))),universal_class)
    | ~ spl0_786
    | spl0_789 ),
    inference(superposition,[],[f18822,f18490]) ).

fof(f18822,plain,
    ( ~ member(complement(intersection(complement(u),complement(subset_relation))),universal_class)
    | spl0_789 ),
    inference(avatar_component_clause,[],[f18820]) ).

fof(f114503,plain,
    ( ~ spl0_595
    | ~ spl0_593
    | ~ spl0_43
    | spl0_1155 ),
    inference(avatar_split_clause,[],[f41689,f41659,f386,f11490,f11502]) ).

fof(f41689,plain,
    ( ~ member(subset_relation,cross_product(universal_class,universal_class))
    | ~ member(subset_relation,subset_relation)
    | ~ spl0_43
    | spl0_1155 ),
    inference(resolution,[],[f41660,f387]) ).

fof(f41660,plain,
    ( ~ member(subset_relation,intersection(subset_relation,cross_product(universal_class,universal_class)))
    | spl0_1155 ),
    inference(avatar_component_clause,[],[f41659]) ).

fof(f114456,plain,
    ( spl0_1228
    | ~ spl0_215
    | ~ spl0_659 ),
    inference(avatar_split_clause,[],[f113903,f14494,f2205,f114454]) ).

fof(f114454,plain,
    ( spl0_1228
  <=> ! [X0] :
        ( identity_relation = X0
        | subclass(subset_relation,regular(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1228])]) ).

fof(f14494,plain,
    ( spl0_659
  <=> ! [X0] :
        ( subclass(subset_relation,regular(X0))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f113903,plain,
    ( ! [X0] :
        ( identity_relation = X0
        | subclass(subset_relation,regular(X0)) )
    | ~ spl0_215
    | ~ spl0_659 ),
    inference(forward_demodulation,[],[f14495,f2207]) ).

fof(f14495,plain,
    ( ! [X0] :
        ( subclass(subset_relation,regular(X0))
        | null_class = X0 )
    | ~ spl0_659 ),
    inference(avatar_component_clause,[],[f14494]) ).

fof(f114311,plain,
    ( spl0_1068
    | ~ spl0_33
    | ~ spl0_1086 ),
    inference(avatar_split_clause,[],[f47546,f36607,f318,f32207]) ).

fof(f32207,plain,
    ( spl0_1068
  <=> ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(regular(subset_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).

fof(f36607,plain,
    ( spl0_1086
  <=> member(regular(subset_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1086])]) ).

fof(f47546,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(regular(subset_relation),X0) )
    | ~ spl0_33
    | ~ spl0_1086 ),
    inference(resolution,[],[f36608,f319]) ).

fof(f36608,plain,
    ( member(regular(subset_relation),subset_relation)
    | ~ spl0_1086 ),
    inference(avatar_component_clause,[],[f36607]) ).

fof(f114129,plain,
    ( spl0_285
    | ~ spl0_196
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f65777,f7608,f1975,f3132]) ).

fof(f3132,plain,
    ( spl0_285
  <=> ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f7608,plain,
    ( spl0_429
  <=> ! [X0,X1] :
        ( ~ subclass(null_class,X1)
        | ~ member(X0,subset_relation)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f65777,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(null_class,X0) )
    | ~ spl0_196
    | ~ spl0_429 ),
    inference(resolution,[],[f1976,f7609]) ).

fof(f7609,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ subclass(null_class,X1)
        | member(X0,X1) )
    | ~ spl0_429 ),
    inference(avatar_component_clause,[],[f7608]) ).

fof(f114127,plain,
    ( spl0_1227
    | ~ spl0_429
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f65703,f11502,f7608,f114125]) ).

fof(f65703,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(subset_relation,X0) )
    | ~ spl0_429
    | ~ spl0_595 ),
    inference(resolution,[],[f7609,f11503]) ).

fof(f11503,plain,
    ( member(subset_relation,subset_relation)
    | ~ spl0_595 ),
    inference(avatar_component_clause,[],[f11502]) ).

fof(f114123,plain,
    ( ~ spl0_217
    | ~ spl0_215
    | spl0_287 ),
    inference(avatar_split_clause,[],[f114122,f3139,f2205,f2238]) ).

fof(f2238,plain,
    ( spl0_217
  <=> member(identity_relation,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f3139,plain,
    ( spl0_287
  <=> member(null_class,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f114122,plain,
    ( ~ member(identity_relation,identity_relation)
    | ~ spl0_215
    | spl0_287 ),
    inference(forward_demodulation,[],[f3140,f2207]) ).

fof(f3140,plain,
    ( ~ member(null_class,identity_relation)
    | spl0_287 ),
    inference(avatar_component_clause,[],[f3139]) ).

fof(f114121,plain,
    ( ~ spl0_217
    | spl0_207
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f112087,f2205,f2052,f2238]) ).

fof(f112087,plain,
    ( ~ member(identity_relation,identity_relation)
    | spl0_207
    | ~ spl0_215 ),
    inference(superposition,[],[f2053,f2207]) ).

fof(f2053,plain,
    ( ~ member(null_class,null_class)
    | spl0_207 ),
    inference(avatar_component_clause,[],[f2052]) ).

fof(f114091,plain,
    ( spl0_1226
    | ~ spl0_215
    | ~ spl0_434 ),
    inference(avatar_split_clause,[],[f113915,f7819,f2205,f114088]) ).

fof(f114088,plain,
    ( spl0_1226
  <=> subclass(subset_relation,intersection(identity_relation,subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1226])]) ).

fof(f7819,plain,
    ( spl0_434
  <=> subclass(subset_relation,intersection(null_class,subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f113915,plain,
    ( subclass(subset_relation,intersection(identity_relation,subset_relation))
    | ~ spl0_215
    | ~ spl0_434 ),
    inference(forward_demodulation,[],[f7821,f2207]) ).

fof(f7821,plain,
    ( subclass(subset_relation,intersection(null_class,subset_relation))
    | ~ spl0_434 ),
    inference(avatar_component_clause,[],[f7819]) ).

fof(f114081,plain,
    ( spl0_1225
    | ~ spl0_215
    | ~ spl0_532 ),
    inference(avatar_split_clause,[],[f113927,f10335,f2205,f114078]) ).

fof(f114078,plain,
    ( spl0_1225
  <=> subclass(subset_relation,complement(identity_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1225])]) ).

fof(f10335,plain,
    ( spl0_532
  <=> subclass(subset_relation,complement(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f113927,plain,
    ( subclass(subset_relation,complement(identity_relation))
    | ~ spl0_215
    | ~ spl0_532 ),
    inference(forward_demodulation,[],[f10336,f2207]) ).

fof(f10336,plain,
    ( subclass(subset_relation,complement(null_class))
    | ~ spl0_532 ),
    inference(avatar_component_clause,[],[f10335]) ).

fof(f114076,plain,
    ( ~ spl0_742
    | ~ spl0_215
    | spl0_419 ),
    inference(avatar_split_clause,[],[f113945,f7147,f2205,f17480]) ).

fof(f7147,plain,
    ( spl0_419
  <=> subclass(subset_relation,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f113945,plain,
    ( ~ subclass(subset_relation,identity_relation)
    | ~ spl0_215
    | spl0_419 ),
    inference(forward_demodulation,[],[f7148,f2207]) ).

fof(f7148,plain,
    ( ~ subclass(subset_relation,null_class)
    | spl0_419 ),
    inference(avatar_component_clause,[],[f7147]) ).

fof(f113797,plain,
    ( spl0_242
    | ~ spl0_419
    | ~ spl0_106
    | spl0_404 ),
    inference(avatar_split_clause,[],[f65685,f6851,f826,f7147,f2438]) ).

fof(f2438,plain,
    ( spl0_242
  <=> null_class = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f6851,plain,
    ( spl0_404
  <=> member(regular(subset_relation),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f65685,plain,
    ( ~ subclass(subset_relation,null_class)
    | null_class = subset_relation
    | ~ spl0_106
    | spl0_404 ),
    inference(resolution,[],[f6852,f827]) ).

fof(f6852,plain,
    ( ~ member(regular(subset_relation),null_class)
    | spl0_404 ),
    inference(avatar_component_clause,[],[f6851]) ).

fof(f113795,plain,
    ( spl0_1224
    | ~ spl0_33
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f52505,f11502,f318,f113793]) ).

fof(f113793,plain,
    ( spl0_1224
  <=> ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1224])]) ).

fof(f52505,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(subset_relation,X0) )
    | ~ spl0_33
    | ~ spl0_595 ),
    inference(resolution,[],[f11503,f319]) ).

fof(f113786,plain,
    ( ~ spl0_1223
    | ~ spl0_215
    | spl0_1221 ),
    inference(avatar_split_clause,[],[f113776,f113772,f2205,f113783]) ).

fof(f113783,plain,
    ( spl0_1223
  <=> identity_relation = cross_product(subset_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1223])]) ).

fof(f113772,plain,
    ( spl0_1221
  <=> null_class = cross_product(subset_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1221])]) ).

fof(f113776,plain,
    ( identity_relation != cross_product(subset_relation,universal_class)
    | ~ spl0_215
    | spl0_1221 ),
    inference(forward_demodulation,[],[f113774,f2207]) ).

fof(f113774,plain,
    ( null_class != cross_product(subset_relation,universal_class)
    | spl0_1221 ),
    inference(avatar_component_clause,[],[f113772]) ).

fof(f113781,plain,
    ( ~ spl0_1222
    | ~ spl0_215
    | spl0_552 ),
    inference(avatar_split_clause,[],[f112149,f10796,f2205,f113778]) ).

fof(f113778,plain,
    ( spl0_1222
  <=> member(regular(complement(identity_relation)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1222])]) ).

fof(f10796,plain,
    ( spl0_552
  <=> member(regular(complement(null_class)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f112149,plain,
    ( ~ member(regular(complement(identity_relation)),subset_relation)
    | ~ spl0_215
    | spl0_552 ),
    inference(superposition,[],[f10798,f2207]) ).

fof(f10798,plain,
    ( ~ member(regular(complement(null_class)),subset_relation)
    | spl0_552 ),
    inference(avatar_component_clause,[],[f10796]) ).

fof(f113775,plain,
    ( ~ spl0_1221
    | spl0_598
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f74841,f18488,f11584,f113772]) ).

fof(f11584,plain,
    ( spl0_598
  <=> null_class = cross_product(u,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f74841,plain,
    ( null_class != cross_product(subset_relation,universal_class)
    | spl0_598
    | ~ spl0_786 ),
    inference(superposition,[],[f11585,f18490]) ).

fof(f11585,plain,
    ( null_class != cross_product(u,universal_class)
    | spl0_598 ),
    inference(avatar_component_clause,[],[f11584]) ).

fof(f113751,plain,
    ( ~ spl0_1220
    | ~ spl0_215
    | spl0_1216 ),
    inference(avatar_split_clause,[],[f113731,f113727,f2205,f113748]) ).

fof(f113748,plain,
    ( spl0_1220
  <=> member(second(subset_relation),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1220])]) ).

fof(f113727,plain,
    ( spl0_1216
  <=> member(second(subset_relation),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1216])]) ).

fof(f113731,plain,
    ( ~ member(second(subset_relation),identity_relation)
    | ~ spl0_215
    | spl0_1216 ),
    inference(forward_demodulation,[],[f113729,f2207]) ).

fof(f113729,plain,
    ( ~ member(second(subset_relation),null_class)
    | spl0_1216 ),
    inference(avatar_component_clause,[],[f113727]) ).

fof(f113746,plain,
    ( ~ spl0_1219
    | ~ spl0_215
    | spl0_1157 ),
    inference(avatar_split_clause,[],[f112195,f53590,f2205,f113743]) ).

fof(f113743,plain,
    ( spl0_1219
  <=> member(complement(identity_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1219])]) ).

fof(f53590,plain,
    ( spl0_1157
  <=> member(complement(null_class),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1157])]) ).

fof(f112195,plain,
    ( ~ member(complement(identity_relation),universal_class)
    | ~ spl0_215
    | spl0_1157 ),
    inference(superposition,[],[f53592,f2207]) ).

fof(f53592,plain,
    ( ~ member(complement(null_class),universal_class)
    | spl0_1157 ),
    inference(avatar_component_clause,[],[f53590]) ).

fof(f113741,plain,
    ( ~ spl0_1218
    | ~ spl0_215
    | spl0_599 ),
    inference(avatar_split_clause,[],[f112168,f11594,f2205,f113738]) ).

fof(f112168,plain,
    ( ~ member(second(identity_relation),universal_class)
    | ~ spl0_215
    | spl0_599 ),
    inference(superposition,[],[f11596,f2207]) ).

fof(f11596,plain,
    ( ~ member(second(null_class),universal_class)
    | spl0_599 ),
    inference(avatar_component_clause,[],[f11594]) ).

fof(f113736,plain,
    ( ~ spl0_1217
    | ~ spl0_215
    | spl0_404 ),
    inference(avatar_split_clause,[],[f112131,f6851,f2205,f113733]) ).

fof(f113733,plain,
    ( spl0_1217
  <=> member(regular(subset_relation),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1217])]) ).

fof(f112131,plain,
    ( ~ member(regular(subset_relation),identity_relation)
    | ~ spl0_215
    | spl0_404 ),
    inference(superposition,[],[f6852,f2207]) ).

fof(f113730,plain,
    ( ~ spl0_1216
    | ~ spl0_143
    | spl0_812
    | spl0_1053 ),
    inference(avatar_split_clause,[],[f64157,f31948,f19719,f1257,f113727]) ).

fof(f1257,plain,
    ( spl0_143
  <=> ! [X0] :
        ( member(u,X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f31948,plain,
    ( spl0_1053
  <=> member(second(subset_relation),domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).

fof(f64157,plain,
    ( ~ member(second(subset_relation),null_class)
    | ~ spl0_143
    | spl0_812
    | spl0_1053 ),
    inference(forward_demodulation,[],[f31950,f19733]) ).

fof(f19733,plain,
    ( null_class = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_143
    | spl0_812 ),
    inference(resolution,[],[f19721,f1258]) ).

fof(f1258,plain,
    ( ! [X0] :
        ( member(u,X0)
        | null_class = X0 )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f31950,plain,
    ( ~ member(second(subset_relation),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | spl0_1053 ),
    inference(avatar_component_clause,[],[f31948]) ).

fof(f113712,plain,
    ( spl0_1214
    | ~ spl0_215
    | ~ spl0_1213 ),
    inference(avatar_split_clause,[],[f113669,f112321,f2205,f112348]) ).

fof(f112348,plain,
    ( spl0_1214
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(identity_relation,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1214])]) ).

fof(f112321,plain,
    ( spl0_1213
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(null_class,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1213])]) ).

fof(f113669,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(identity_relation,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_215
    | ~ spl0_1213 ),
    inference(forward_demodulation,[],[f112323,f2207]) ).

fof(f112323,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(null_class,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_1213 ),
    inference(avatar_component_clause,[],[f112321]) ).

fof(f113584,plain,
    ( spl0_507
    | ~ spl0_1
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f74813,f18488,f170,f9868]) ).

fof(f74813,plain,
    ( member(subset_relation,universal_class)
    | ~ spl0_1
    | ~ spl0_786 ),
    inference(superposition,[],[f172,f18490]) ).

fof(f113567,plain,
    ( ~ spl0_595
    | ~ spl0_137
    | spl0_1179 ),
    inference(avatar_split_clause,[],[f65945,f64062,f1189,f11502]) ).

fof(f1189,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f64062,plain,
    ( spl0_1179
  <=> member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1179])]) ).

fof(f65945,plain,
    ( ~ member(subset_relation,subset_relation)
    | ~ spl0_137
    | spl0_1179 ),
    inference(resolution,[],[f64064,f1190]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,subset_relation) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f64064,plain,
    ( ~ member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | spl0_1179 ),
    inference(avatar_component_clause,[],[f64062]) ).

fof(f112704,plain,
    ( ~ spl0_1215
    | ~ spl0_215
    | spl0_384 ),
    inference(avatar_split_clause,[],[f112125,f5755,f2205,f112701]) ).

fof(f112701,plain,
    ( spl0_1215
  <=> function(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1215])]) ).

fof(f5755,plain,
    ( spl0_384
  <=> function(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f112125,plain,
    ( ~ function(identity_relation)
    | ~ spl0_215
    | spl0_384 ),
    inference(superposition,[],[f5757,f2207]) ).

fof(f5757,plain,
    ( ~ function(null_class)
    | spl0_384 ),
    inference(avatar_component_clause,[],[f5755]) ).

fof(f112351,plain,
    ( ~ spl0_1214
    | ~ spl0_215
    | spl0_1213 ),
    inference(avatar_split_clause,[],[f112346,f112321,f2205,f112348]) ).

fof(f112346,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(identity_relation,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_215
    | spl0_1213 ),
    inference(forward_demodulation,[],[f112322,f2207]) ).

fof(f112322,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(null_class,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | spl0_1213 ),
    inference(avatar_component_clause,[],[f112321]) ).

fof(f112324,plain,
    ( ~ spl0_507
    | spl0_242
    | spl0_1213
    | ~ spl0_65
    | ~ spl0_167
    | ~ spl0_325
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f109971,f18488,f3977,f1489,f520,f112321,f2438,f9868]) ).

fof(f109971,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(null_class,universal_class)),universal_class))))))),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | null_class = subset_relation
    | ~ member(subset_relation,universal_class)
    | ~ spl0_65
    | ~ spl0_167
    | ~ spl0_325
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f1514,f74837]) ).

fof(f112276,plain,
    ( ~ spl0_1212
    | ~ spl0_215
    | spl0_374 ),
    inference(avatar_split_clause,[],[f112121,f5652,f2205,f112273]) ).

fof(f112273,plain,
    ( spl0_1212
  <=> single_valued_class(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1212])]) ).

fof(f5652,plain,
    ( spl0_374
  <=> single_valued_class(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f112121,plain,
    ( ~ single_valued_class(identity_relation)
    | ~ spl0_215
    | spl0_374 ),
    inference(superposition,[],[f5654,f2207]) ).

fof(f5654,plain,
    ( ~ single_valued_class(null_class)
    | spl0_374 ),
    inference(avatar_component_clause,[],[f5652]) ).

fof(f112241,plain,
    ( spl0_217
    | ~ spl0_215
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f112006,f3139,f2205,f2238]) ).

fof(f112006,plain,
    ( member(identity_relation,identity_relation)
    | ~ spl0_215
    | ~ spl0_287 ),
    inference(forward_demodulation,[],[f3141,f2207]) ).

fof(f3141,plain,
    ( member(null_class,identity_relation)
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f3139]) ).

fof(f112058,plain,
    ( ~ spl0_1211
    | spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f112053,f18488,f11495,f112055]) ).

fof(f112055,plain,
    ( spl0_1211
  <=> subset_relation = unordered_pair(subset_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1211])]) ).

fof(f11495,plain,
    ( spl0_594
  <=> subset_relation = unordered_pair(u,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f112053,plain,
    ( subset_relation != unordered_pair(subset_relation,subset_relation)
    | spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f11497,f18490]) ).

fof(f11497,plain,
    ( subset_relation != unordered_pair(u,u)
    | spl0_594 ),
    inference(avatar_component_clause,[],[f11495]) ).

fof(f109942,plain,
    ( spl0_902
    | ~ spl0_215
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(avatar_split_clause,[],[f105629,f73653,f2341,f2205,f22894]) ).

fof(f73653,plain,
    ( spl0_1181
  <=> ! [X0] :
        ( subset_relation = X0
        | ~ member(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1181])]) ).

fof(f105629,plain,
    ( identity_relation = subset_relation
    | ~ spl0_215
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f2207,f98546]) ).

fof(f98546,plain,
    ( null_class = subset_relation
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(duplicate_literal_removal,[],[f98478]) ).

fof(f98478,plain,
    ( null_class = subset_relation
    | null_class = subset_relation
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(resolution,[],[f73654,f2342]) ).

fof(f73654,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | subset_relation = X0 )
    | ~ spl0_1181 ),
    inference(avatar_component_clause,[],[f73653]) ).

fof(f100956,plain,
    ( ~ spl0_595
    | ~ spl0_18
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f19938,f19628,f245,f11502]) ).

fof(f19628,plain,
    ( spl0_807
  <=> member(subset_relation,complement(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).

fof(f19938,plain,
    ( ~ member(subset_relation,subset_relation)
    | ~ spl0_18
    | ~ spl0_807 ),
    inference(resolution,[],[f19630,f246]) ).

fof(f19630,plain,
    ( member(subset_relation,complement(subset_relation))
    | ~ spl0_807 ),
    inference(avatar_component_clause,[],[f19628]) ).

fof(f98605,plain,
    ( spl0_242
    | ~ spl0_215
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f86516,f22894,f2205,f2438]) ).

fof(f86516,plain,
    ( null_class = subset_relation
    | ~ spl0_215
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f2207,f22896]) ).

fof(f22896,plain,
    ( identity_relation = subset_relation
    | ~ spl0_902 ),
    inference(avatar_component_clause,[],[f22894]) ).

fof(f96293,plain,
    ( spl0_1181
    | ~ spl0_786
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f83871,f55137,f18488,f73653]) ).

fof(f55137,plain,
    ( spl0_1158
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | u = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1158])]) ).

fof(f83871,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ member(X0,subset_relation) )
    | ~ spl0_786
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55138,f18490]) ).

fof(f55138,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | u = X0 )
    | ~ spl0_1158 ),
    inference(avatar_component_clause,[],[f55137]) ).

fof(f89346,plain,
    ( ~ spl0_737
    | ~ spl0_230
    | spl0_553
    | ~ spl0_902
    | ~ spl0_1181 ),
    inference(avatar_split_clause,[],[f86704,f73653,f22894,f10804,f2341,f17299]) ).

fof(f17299,plain,
    ( spl0_737
  <=> subclass(subset_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).

fof(f10804,plain,
    ( spl0_553
  <=> subclass(identity_relation,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f86704,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | ~ spl0_230
    | spl0_553
    | ~ spl0_902
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f86703,f73745]) ).

fof(f73745,plain,
    ( null_class = subset_relation
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(duplicate_literal_removal,[],[f73680]) ).

fof(f73680,plain,
    ( null_class = subset_relation
    | null_class = subset_relation
    | ~ spl0_230
    | ~ spl0_1181 ),
    inference(resolution,[],[f73654,f2342]) ).

fof(f86703,plain,
    ( ~ subclass(subset_relation,null_class)
    | spl0_553
    | ~ spl0_902 ),
    inference(superposition,[],[f10805,f22896]) ).

fof(f10805,plain,
    ( ~ subclass(identity_relation,null_class)
    | spl0_553 ),
    inference(avatar_component_clause,[],[f10804]) ).

fof(f88389,plain,
    ( spl0_553
    | ~ spl0_6
    | ~ spl0_613 ),
    inference(avatar_split_clause,[],[f13574,f13077,f194,f10804]) ).

fof(f13077,plain,
    ( spl0_613
  <=> ! [X0] :
        ( subclass(X0,null_class)
        | ~ subclass(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f13574,plain,
    ( subclass(identity_relation,null_class)
    | ~ spl0_6
    | ~ spl0_613 ),
    inference(resolution,[],[f13078,f195]) ).

fof(f13078,plain,
    ( ! [X0] :
        ( ~ subclass(X0,identity_relation)
        | subclass(X0,null_class) )
    | ~ spl0_613 ),
    inference(avatar_component_clause,[],[f13077]) ).

fof(f87214,plain,
    ( ~ spl0_1210
    | ~ spl0_143
    | ~ spl0_786
    | spl0_812 ),
    inference(avatar_split_clause,[],[f74978,f19719,f18488,f1257,f87211]) ).

fof(f74978,plain,
    ( ~ member(subset_relation,null_class)
    | ~ spl0_143
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f74867,f19733]) ).

fof(f74867,plain,
    ( ~ member(subset_relation,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_786
    | spl0_812 ),
    inference(superposition,[],[f19721,f18490]) ).

fof(f86713,plain,
    ( spl0_1209
    | ~ spl0_143
    | spl0_812
    | ~ spl0_1198 ),
    inference(avatar_split_clause,[],[f75182,f75179,f19719,f1257,f86711]) ).

fof(f86711,plain,
    ( spl0_1209
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X3,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1209])]) ).

fof(f75179,plain,
    ( spl0_1198
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X3,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1198])]) ).

fof(f75182,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X3,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | spl0_812
    | ~ spl0_1198 ),
    inference(forward_demodulation,[],[f75180,f19733]) ).

fof(f75180,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(compose(X1,regular(cross_product(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)))),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(X3,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_1198 ),
    inference(avatar_component_clause,[],[f75179]) ).

fof(f86708,plain,
    ( spl0_1208
    | ~ spl0_143
    | spl0_812
    | ~ spl0_1197 ),
    inference(avatar_split_clause,[],[f75176,f75173,f19719,f1257,f86706]) ).

fof(f86706,plain,
    ( spl0_1208
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1208])]) ).

fof(f75173,plain,
    ( spl0_1197
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1197])]) ).

fof(f75176,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | spl0_812
    | ~ spl0_1197 ),
    inference(forward_demodulation,[],[f75174,f19733]) ).

fof(f75174,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(compose(X1,regular(cross_product(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)))),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_1197 ),
    inference(avatar_component_clause,[],[f75173]) ).

fof(f86638,plain,
    ( spl0_1207
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f78097,f18488,f9850,f4891,f3977,f2438,f1276,f621,f86636]) ).

fof(f86636,plain,
    ( spl0_1207
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1207])]) ).

fof(f621,plain,
    ( spl0_81
  <=> ! [X3,X0,X6,X2] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),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(X6,X6))),flip(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(X6,X6))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f78097,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f78096,f74837]) ).

fof(f78096,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(null_class,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f78095,f74837]) ).

fof(f78095,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f36547,f18490]) ).

fof(f36547,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f36546,f2440]) ).

fof(f2440,plain,
    ( null_class = subset_relation
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f2438]) ).

fof(f36546,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f36545,f9916]) ).

fof(f36545,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f36544,f2440]) ).

fof(f36544,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f4810,f2440]) ).

fof(f4810,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148 ),
    inference(superposition,[],[f622,f1278]) ).

fof(f622,plain,
    ( ! [X2,X3,X0,X6] :
        ( ~ 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(X6,X6))),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(X6,X6))),flip(X0))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f86620,plain,
    ( spl0_287
    | ~ spl0_196
    | ~ spl0_1206
    | ~ spl0_12
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2077,f1028,f220,f86617,f1975,f3139]) ).

fof(f86617,plain,
    ( spl0_1206
  <=> inductive(domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1206])]) ).

fof(f1028,plain,
    ( spl0_125
  <=> ! [X0] :
        ( member(X0,identity_relation)
        | ~ member(X0,subset_relation)
        | ~ member(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2077,plain,
    ( ~ inductive(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ member(null_class,subset_relation)
    | member(null_class,identity_relation)
    | ~ spl0_12
    | ~ spl0_125 ),
    inference(resolution,[],[f221,f1029]) ).

fof(f1029,plain,
    ( ! [X0] :
        ( ~ member(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X0,subset_relation)
        | member(X0,identity_relation) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f86588,plain,
    ( spl0_1205
    | ~ spl0_143
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | ~ spl0_786
    | spl0_812
    | ~ spl0_1181 ),
    inference(avatar_split_clause,[],[f80509,f73653,f19719,f18488,f11495,f2341,f1740,f1257,f86586]) ).

fof(f86586,plain,
    ( spl0_1205
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(subset_relation,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1205])]) ).

fof(f1740,plain,
    ( spl0_177
  <=> ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f80509,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(subset_relation,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | ~ spl0_786
    | spl0_812
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f80508,f73745]) ).

fof(f80508,plain,
    ( ! [X0,X1] :
        ( ~ member(subset_relation,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | ~ spl0_786
    | spl0_812
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f80507,f18490]) ).

fof(f80507,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | spl0_812
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f80506,f73745]) ).

fof(f80506,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | spl0_812
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f80505,f19733]) ).

fof(f80505,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_177
    | ~ spl0_230
    | ~ spl0_594
    | ~ spl0_1181 ),
    inference(forward_demodulation,[],[f17986,f73745]) ).

fof(f17986,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_177
    | ~ spl0_594 ),
    inference(superposition,[],[f1741,f11496]) ).

fof(f11496,plain,
    ( subset_relation = unordered_pair(u,u)
    | ~ spl0_594 ),
    inference(avatar_component_clause,[],[f11495]) ).

fof(f1741,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f77702,plain,
    ( ~ spl0_1137
    | ~ spl0_216
    | ~ spl0_230
    | spl0_553
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f77271,f55137,f11502,f10804,f2341,f2209,f39967]) ).

fof(f77271,plain,
    ( ~ subclass(identity_relation,subset_relation)
    | ~ spl0_216
    | ~ spl0_230
    | spl0_553
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f10805,f67559]) ).

fof(f67559,plain,
    ( null_class = subset_relation
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(duplicate_literal_removal,[],[f67558]) ).

fof(f67558,plain,
    ( null_class = subset_relation
    | null_class = subset_relation
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55161,f67515]) ).

fof(f67515,plain,
    ( subset_relation = u
    | ~ spl0_216
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55339,f55346]) ).

fof(f55346,plain,
    ( subset_relation = regular(identity_relation)
    | ~ spl0_216
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55339,f55156]) ).

fof(f55156,plain,
    ( subset_relation = u
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(resolution,[],[f55138,f11503]) ).

fof(f55339,plain,
    ( u = regular(identity_relation)
    | ~ spl0_216
    | ~ spl0_1158 ),
    inference(resolution,[],[f2211,f55138]) ).

fof(f2211,plain,
    ( member(regular(identity_relation),subset_relation)
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f2209]) ).

fof(f55161,plain,
    ( null_class = u
    | null_class = subset_relation
    | ~ spl0_230
    | ~ spl0_1158 ),
    inference(resolution,[],[f55138,f2342]) ).

fof(f77479,plain,
    ( spl0_1204
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1010 ),
    inference(avatar_split_clause,[],[f59398,f29689,f18488,f11495,f3977,f77477]) ).

fof(f77477,plain,
    ( spl0_1204
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1204])]) ).

fof(f29689,plain,
    ( spl0_1010
  <=> ! [X0,X3,X2,X1] :
        ( null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).

fof(f59398,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29690,f56612]) ).

fof(f56612,plain,
    ( null_class = subset_relation
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f56017,f56020]) ).

fof(f56020,plain,
    ( subset_relation = unordered_pair(subset_relation,subset_relation)
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(superposition,[],[f11496,f18490]) ).

fof(f56017,plain,
    ( null_class = unordered_pair(subset_relation,subset_relation)
    | ~ spl0_325
    | ~ spl0_786 ),
    inference(superposition,[],[f3979,f18490]) ).

fof(f29690,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_1010 ),
    inference(avatar_component_clause,[],[f29689]) ).

fof(f77475,plain,
    ( spl0_1203
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1012 ),
    inference(avatar_split_clause,[],[f59360,f29764,f18488,f11495,f3977,f77473]) ).

fof(f77473,plain,
    ( spl0_1203
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1203])]) ).

fof(f29764,plain,
    ( spl0_1012
  <=> ! [X0,X3,X2,X1] :
        ( null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).

fof(f59360,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29765,f56612]) ).

fof(f29765,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_1012 ),
    inference(avatar_component_clause,[],[f29764]) ).

fof(f77276,plain,
    ( spl0_1202
    | ~ spl0_242
    | ~ spl0_701 ),
    inference(avatar_split_clause,[],[f16306,f16303,f2438,f77274]) ).

fof(f77274,plain,
    ( spl0_1202
  <=> ! [X0] :
        ( subset_relation = X0
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1202])]) ).

fof(f16303,plain,
    ( spl0_701
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f16306,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_701 ),
    inference(forward_demodulation,[],[f16304,f2440]) ).

fof(f16304,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | null_class = X0 )
    | ~ spl0_701 ),
    inference(avatar_component_clause,[],[f16303]) ).

fof(f77123,plain,
    ( spl0_742
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f77122]) ).

fof(f77122,plain,
    ( $false
    | spl0_742
    | ~ spl0_1160 ),
    inference(resolution,[],[f17482,f55322]) ).

fof(f55322,plain,
    ( ! [X0] : subclass(subset_relation,X0)
    | ~ spl0_1160 ),
    inference(avatar_component_clause,[],[f55321]) ).

fof(f55321,plain,
    ( spl0_1160
  <=> ! [X0] : subclass(subset_relation,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1160])]) ).

fof(f17482,plain,
    ( ~ subclass(subset_relation,identity_relation)
    | spl0_742 ),
    inference(avatar_component_clause,[],[f17480]) ).

fof(f76850,plain,
    ( spl0_1201
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58641,f18488,f11495,f3977,f1276,f627,f76848]) ).

fof(f76848,plain,
    ( spl0_1201
  <=> ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))))))),universal_class),X1),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1201])]) ).

fof(f627,plain,
    ( spl0_82
  <=> ! [X10,X11,X0,X9,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))))))),universal_class),X11),universal_class)))))))
        | ~ homomorphism(X9,X10,X11)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f58641,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))))))),universal_class),X1),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58640,f56020]) ).

fof(f58640,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58639,f56612]) ).

fof(f58639,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f4811,f56612]) ).

fof(f4811,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_148 ),
    inference(superposition,[],[f628,f1278]) ).

fof(f628,plain,
    ( ! [X10,X0,X11,X1,X9] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10))
        | ~ homomorphism(X9,X10,X11)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))))))),universal_class),X11),universal_class))))))) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f75587,plain,
    ( spl0_1200
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_703
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58691,f18488,f16347,f11495,f3977,f75585]) ).

fof(f75585,plain,
    ( spl0_1200
  <=> ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1200])]) ).

fof(f16347,plain,
    ( spl0_703
  <=> ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f58691,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_703
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58690,f56612]) ).

fof(f58690,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_703
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58689,f56020]) ).

fof(f58689,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_703
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58688,f18490]) ).

fof(f58688,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_703
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f16348,f56612]) ).

fof(f16348,plain,
    ( ! [X2,X0,X1] :
        ( ~ homomorphism(X1,X0,X2)
        | ~ member(null_class,domain_of(X0))
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) )
    | ~ spl0_703 ),
    inference(avatar_component_clause,[],[f16347]) ).

fof(f75192,plain,
    ( ~ spl0_742
    | ~ spl0_21
    | spl0_640
    | spl0_1086 ),
    inference(avatar_split_clause,[],[f64649,f36607,f14220,f257,f17480]) ).

fof(f14220,plain,
    ( spl0_640
  <=> subclass(null_class,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f64649,plain,
    ( ~ subclass(subset_relation,identity_relation)
    | ~ spl0_21
    | spl0_640
    | spl0_1086 ),
    inference(forward_demodulation,[],[f14222,f36612]) ).

fof(f36612,plain,
    ( null_class = subset_relation
    | ~ spl0_21
    | spl0_1086 ),
    inference(resolution,[],[f36609,f258]) ).

fof(f36609,plain,
    ( ~ member(regular(subset_relation),subset_relation)
    | spl0_1086 ),
    inference(avatar_component_clause,[],[f36607]) ).

fof(f14222,plain,
    ( ~ subclass(null_class,identity_relation)
    | spl0_640 ),
    inference(avatar_component_clause,[],[f14220]) ).

fof(f75191,plain,
    ( spl0_1199
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f69475,f55137,f29453,f19719,f18488,f11502,f11495,f3977,f2341,f2209,f1257,f75189]) ).

fof(f75189,plain,
    ( spl0_1199
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1199])]) ).

fof(f29453,plain,
    ( spl0_993
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).

fof(f69475,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69474,f67559]) ).

fof(f69474,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69473,f19733]) ).

fof(f69473,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69472,f67559]) ).

fof(f69472,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69471,f19733]) ).

fof(f69471,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69470,f67559]) ).

fof(f69470,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69469,f19733]) ).

fof(f69469,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_216
    | ~ spl0_230
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_595
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f69468,f67559]) ).

fof(f69468,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | spl0_812
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f58697,f19733]) ).

fof(f58697,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f58696,f56612]) ).

fof(f58696,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f58695,f56612]) ).

fof(f58695,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f58694,f56612]) ).

fof(f58694,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f58693,f56612]) ).

fof(f58693,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29454,f56612]) ).

fof(f29454,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_993 ),
    inference(avatar_component_clause,[],[f29453]) ).

fof(f75181,plain,
    ( spl0_1198
    | ~ spl0_178
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f47324,f1850,f1746,f75179]) ).

fof(f1746,plain,
    ( spl0_178
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f47324,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X3,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_178
    | ~ spl0_186 ),
    inference(resolution,[],[f1747,f1851]) ).

fof(f1747,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1746]) ).

fof(f75175,plain,
    ( spl0_1197
    | ~ spl0_178
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f47323,f1854,f1746,f75173]) ).

fof(f1854,plain,
    ( spl0_187
  <=> ! [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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f47323,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(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)))),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(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(compose(X1,regular(cross_product(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)))),universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_178
    | ~ spl0_187 ),
    inference(resolution,[],[f1747,f1855]) ).

fof(f1855,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))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1854]) ).

fof(f74989,plain,
    ( spl0_1196
    | ~ spl0_230
    | spl0_385
    | ~ spl0_880 ),
    inference(avatar_split_clause,[],[f21729,f21726,f5760,f2341,f74987]) ).

fof(f74987,plain,
    ( spl0_1196
  <=> ! [X2,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(null_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1196])]) ).

fof(f5760,plain,
    ( spl0_385
  <=> member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f21726,plain,
    ( spl0_880
  <=> ! [X2,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(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).

fof(f21729,plain,
    ( ! [X2,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(null_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_880 ),
    inference(forward_demodulation,[],[f21727,f11731]) ).

fof(f11731,plain,
    ( null_class = intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
    | ~ spl0_230
    | spl0_385 ),
    inference(resolution,[],[f5761,f2342]) ).

fof(f5761,plain,
    ( ~ member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | spl0_385 ),
    inference(avatar_component_clause,[],[f5760]) ).

fof(f21727,plain,
    ( ! [X2,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))),subset_relation)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))) )
    | ~ spl0_880 ),
    inference(avatar_component_clause,[],[f21726]) ).

fof(f74812,plain,
    ( spl0_786
    | ~ spl0_216
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f67515,f55137,f11502,f2209,f18488]) ).

fof(f74793,plain,
    ( spl0_1195
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_760
    | ~ spl0_786
    | spl0_812 ),
    inference(avatar_split_clause,[],[f63332,f19719,f18488,f17828,f11495,f3977,f1257,f74791]) ).

fof(f74791,plain,
    ( spl0_1195
  <=> ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),subset_relation)
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1195])]) ).

fof(f17828,plain,
    ( spl0_760
  <=> ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).

fof(f63332,plain,
    ( ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),subset_relation)
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_760
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63331,f56612]) ).

fof(f63331,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),subset_relation)
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_760
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63330,f56612]) ).

fof(f63330,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),subset_relation)
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_760
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63329,f59056]) ).

fof(f59056,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f33166,f56612]) ).

fof(f33166,plain,
    ( null_class = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_143
    | spl0_812 ),
    inference(resolution,[],[f19721,f1258]) ).

fof(f63329,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_760
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f17829,f56612]) ).

fof(f17829,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_760 ),
    inference(avatar_component_clause,[],[f17828]) ).

fof(f74737,plain,
    ( spl0_1194
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_750
    | ~ spl0_786
    | spl0_812 ),
    inference(avatar_split_clause,[],[f63399,f19719,f18488,f17667,f11495,f3977,f1257,f74735]) ).

fof(f74735,plain,
    ( spl0_1194
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1194])]) ).

fof(f17667,plain,
    ( spl0_750
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).

fof(f63399,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_750
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63398,f56612]) ).

fof(f63398,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_750
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63397,f59056]) ).

fof(f63397,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_750
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f17668,f56612]) ).

fof(f17668,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_750 ),
    inference(avatar_component_clause,[],[f17667]) ).

fof(f74731,plain,
    ( spl0_1193
    | ~ spl0_786
    | ~ spl0_1176 ),
    inference(avatar_split_clause,[],[f56560,f56557,f18488,f74729]) ).

fof(f74729,plain,
    ( spl0_1193
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1193])]) ).

fof(f56557,plain,
    ( spl0_1176
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1176])]) ).

fof(f56560,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_786
    | ~ spl0_1176 ),
    inference(forward_demodulation,[],[f56558,f18490]) ).

fof(f56558,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_1176 ),
    inference(avatar_component_clause,[],[f56557]) ).

fof(f74561,plain,
    ( spl0_1192
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58623,f18488,f11495,f9850,f4891,f3977,f1276,f615,f74559]) ).

fof(f74559,plain,
    ( spl0_1192
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1192])]) ).

fof(f615,plain,
    ( spl0_80
  <=> ! [X3,X0,X6,X2] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),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(X6,X6))),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(X6,X6))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f58623,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58622,f56612]) ).

fof(f58622,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),subset_relation)),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58621,f18490]) ).

fof(f58621,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58620,f9916]) ).

fof(f58620,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58619,f56020]) ).

fof(f58619,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58618,f56612]) ).

fof(f58618,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58617,f56020]) ).

fof(f58617,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f4809,f56612]) ).

fof(f4809,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | ~ spl0_148 ),
    inference(superposition,[],[f616,f1278]) ).

fof(f616,plain,
    ( ! [X2,X3,X0,X6] :
        ( ~ 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(X6,X6))),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(X6,X6))),rotate(X0))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f74547,plain,
    ( spl0_1191
    | ~ spl0_786
    | ~ spl0_1175 ),
    inference(avatar_split_clause,[],[f56553,f56550,f18488,f74545]) ).

fof(f74545,plain,
    ( spl0_1191
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1191])]) ).

fof(f56550,plain,
    ( spl0_1175
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1175])]) ).

fof(f56553,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_786
    | ~ spl0_1175 ),
    inference(forward_demodulation,[],[f56551,f18490]) ).

fof(f56551,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_1175 ),
    inference(avatar_component_clause,[],[f56550]) ).

fof(f74203,plain,
    ( spl0_1190
    | ~ spl0_170
    | ~ spl0_1140 ),
    inference(avatar_split_clause,[],[f40610,f40584,f1544,f74201]) ).

fof(f74201,plain,
    ( spl0_1190
  <=> ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1190])]) ).

fof(f1544,plain,
    ( spl0_170
  <=> ! [X0,X1] :
        ( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f40584,plain,
    ( spl0_1140
  <=> ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1140])]) ).

fof(f40610,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_1140 ),
    inference(superposition,[],[f40585,f1545]) ).

fof(f1545,plain,
    ( ! [X0,X1] :
        ( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f40585,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_1140 ),
    inference(avatar_component_clause,[],[f40584]) ).

fof(f74173,plain,
    ( spl0_1189
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_726
    | ~ spl0_786
    | spl0_812 ),
    inference(avatar_split_clause,[],[f63563,f19719,f18488,f17225,f11495,f3977,f1257,f74171]) ).

fof(f74171,plain,
    ( spl0_1189
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1189])]) ).

fof(f17225,plain,
    ( spl0_726
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f63563,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_726
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63562,f56612]) ).

fof(f63562,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_726
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63561,f59056]) ).

fof(f63561,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_726
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f17226,f56612]) ).

fof(f17226,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_726 ),
    inference(avatar_component_clause,[],[f17225]) ).

fof(f74033,plain,
    ( spl0_1188
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58616,f18488,f11495,f9850,f4891,f3977,f1276,f621,f74031]) ).

fof(f74031,plain,
    ( spl0_1188
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1188])]) ).

fof(f58616,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58615,f56612]) ).

fof(f58615,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),subset_relation)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58614,f18490]) ).

fof(f58614,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58613,f9916]) ).

fof(f58613,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58612,f56020]) ).

fof(f58612,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58611,f56612]) ).

fof(f58611,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58610,f56020]) ).

fof(f58610,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f4810,f56612]) ).

fof(f73951,plain,
    ( spl0_1187
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_712
    | ~ spl0_786
    | spl0_812 ),
    inference(avatar_split_clause,[],[f63875,f19719,f18488,f16507,f11495,f3977,f1257,f73949]) ).

fof(f73949,plain,
    ( spl0_1187
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)
        | ~ member(X2,subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1187])]) ).

fof(f16507,plain,
    ( spl0_712
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f63875,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)
        | ~ member(X2,subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_712
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63874,f56612]) ).

fof(f63874,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_712
    | ~ spl0_786
    | spl0_812 ),
    inference(forward_demodulation,[],[f63873,f59056]) ).

fof(f63873,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_712
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f16508,f56612]) ).

fof(f16508,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_712 ),
    inference(avatar_component_clause,[],[f16507]) ).

fof(f73946,plain,
    ( spl0_1186
    | ~ spl0_786
    | ~ spl0_1172 ),
    inference(avatar_split_clause,[],[f56394,f56391,f18488,f73944]) ).

fof(f73944,plain,
    ( spl0_1186
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1186])]) ).

fof(f56394,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_786
    | ~ spl0_1172 ),
    inference(forward_demodulation,[],[f56392,f18490]) ).

fof(f73798,plain,
    ( spl0_1160
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1138 ),
    inference(avatar_split_clause,[],[f57489,f39972,f18488,f11495,f3977,f55321]) ).

fof(f57489,plain,
    ( ! [X0] : subclass(subset_relation,X0)
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786
    | ~ spl0_1138 ),
    inference(forward_demodulation,[],[f39973,f56612]) ).

fof(f73797,plain,
    ( spl0_1185
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58633,f18488,f11495,f9850,f4891,f3977,f1276,f607,f73795]) ).

fof(f607,plain,
    ( spl0_78
  <=> ! [X3,X0,X6,X2] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),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(X6,X6))),rotate(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f58633,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58632,f56612]) ).

fof(f58632,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),subset_relation)),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58631,f18490]) ).

fof(f58631,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58630,f9916]) ).

fof(f58630,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f58629,f56020]) ).

fof(f58629,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_325
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f4807,f56612]) ).

fof(f4807,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_78
    | ~ spl0_148 ),
    inference(superposition,[],[f608,f1278]) ).

fof(f608,plain,
    ( ! [X2,X3,X0,X6] :
        ( ~ 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(X6,X6))),rotate(X0))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),X0) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f73792,plain,
    ( spl0_1184
    | ~ spl0_143
    | ~ spl0_595
    | spl0_812
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(avatar_split_clause,[],[f67511,f55664,f55137,f19719,f11502,f1257,f73790]) ).

fof(f73790,plain,
    ( spl0_1184
  <=> ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1184])]) ).

fof(f67511,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(null_class,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_143
    | ~ spl0_595
    | spl0_812
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f55967,f19733]) ).

fof(f55967,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f55966,f55156]) ).

fof(f55966,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f55665,f55156]) ).

fof(f73788,plain,
    ( ~ spl0_1183
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | spl0_1092 ),
    inference(avatar_split_clause,[],[f37277,f37273,f5770,f2438,f2341,f73785]) ).

fof(f73785,plain,
    ( spl0_1183
  <=> member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(subset_relation),complement(subset_relation)),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1183])]) ).

fof(f37273,plain,
    ( spl0_1092
  <=> member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1092])]) ).

fof(f37277,plain,
    ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(subset_relation),complement(subset_relation)),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | spl0_1092 ),
    inference(forward_demodulation,[],[f37275,f31472]) ).

fof(f31472,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387 ),
    inference(forward_demodulation,[],[f5775,f2440]) ).

fof(f5775,plain,
    ( null_class = intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))
    | ~ spl0_230
    | spl0_387 ),
    inference(resolution,[],[f5772,f2342]) ).

fof(f37275,plain,
    ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation)
    | spl0_1092 ),
    inference(avatar_component_clause,[],[f37273]) ).

fof(f73778,plain,
    ( spl0_1182
    | ~ spl0_242
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f41891,f4840,f2438,f73775]) ).

fof(f73775,plain,
    ( spl0_1182
  <=> member(subset_relation,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1182])]) ).

fof(f41891,plain,
    ( member(subset_relation,element_relation)
    | ~ spl0_242
    | ~ spl0_360 ),
    inference(forward_demodulation,[],[f4841,f2440]) ).

fof(f73655,plain,
    ( spl0_1181
    | ~ spl0_216
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f67589,f55137,f11502,f2209,f73653]) ).

fof(f67589,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ member(X0,subset_relation) )
    | ~ spl0_216
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55138,f67515]) ).

fof(f67189,plain,
    ( spl0_242
    | ~ spl0_21
    | spl0_1086 ),
    inference(avatar_split_clause,[],[f36612,f36607,f257,f2438]) ).

fof(f67186,plain,
    ( spl0_1180
    | ~ spl0_143
    | spl0_812
    | ~ spl0_858 ),
    inference(avatar_split_clause,[],[f64167,f21176,f19719,f1257,f67184]) ).

fof(f67184,plain,
    ( spl0_1180
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(null_class),regular(null_class)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(null_class),regular(null_class)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1180])]) ).

fof(f21176,plain,
    ( spl0_858
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).

fof(f64167,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(null_class),regular(null_class)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(null_class),regular(null_class)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f64166,f19733]) ).

fof(f64166,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(null_class),regular(null_class)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f21177,f19733]) ).

fof(f21177,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_858 ),
    inference(avatar_component_clause,[],[f21176]) ).

fof(f66097,plain,
    ( spl0_553
    | ~ spl0_225
    | ~ spl0_230
    | spl0_385
    | ~ spl0_546 ),
    inference(avatar_split_clause,[],[f12736,f10662,f5760,f2341,f2321,f10804]) ).

fof(f2321,plain,
    ( spl0_225
  <=> ! [X0] :
        ( member(not_subclass_element(identity_relation,X0),subset_relation)
        | subclass(identity_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f10662,plain,
    ( spl0_546
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f12736,plain,
    ( subclass(identity_relation,null_class)
    | ~ spl0_225
    | ~ spl0_230
    | spl0_385
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f12735,f11731]) ).

fof(f12735,plain,
    ( subclass(identity_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_225
    | ~ spl0_546 ),
    inference(duplicate_literal_removal,[],[f12702]) ).

fof(f12702,plain,
    ( subclass(identity_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | subclass(identity_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_225
    | ~ spl0_546 ),
    inference(resolution,[],[f10663,f2322]) ).

fof(f2322,plain,
    ( ! [X0] :
        ( member(not_subclass_element(identity_relation,X0),subset_relation)
        | subclass(identity_relation,X0) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f2321]) ).

fof(f10663,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_546 ),
    inference(avatar_component_clause,[],[f10662]) ).

fof(f65793,plain,
    ( spl0_419
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f65792]) ).

fof(f65792,plain,
    ( $false
    | spl0_419
    | ~ spl0_1160 ),
    inference(resolution,[],[f7148,f55322]) ).

fof(f65657,plain,
    ( ~ spl0_133
    | ~ spl0_143
    | spl0_1087 ),
    inference(avatar_split_clause,[],[f64223,f36630,f1257,f1130]) ).

fof(f1130,plain,
    ( spl0_133
  <=> member(u,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f36630,plain,
    ( spl0_1087
  <=> member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1087])]) ).

fof(f64223,plain,
    ( ~ member(u,null_class)
    | ~ spl0_143
    | spl0_1087 ),
    inference(forward_demodulation,[],[f36632,f36955]) ).

fof(f36955,plain,
    ( null_class = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_143
    | spl0_1087 ),
    inference(resolution,[],[f36632,f1258]) ).

fof(f36632,plain,
    ( ~ member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_1087 ),
    inference(avatar_component_clause,[],[f36630]) ).

fof(f64067,plain,
    ( ~ spl0_1156
    | ~ spl0_325
    | spl0_387
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f57297,f18488,f11495,f5770,f3977,f41692]) ).

fof(f57297,plain,
    ( ~ member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_325
    | spl0_387
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f5772,f56612]) ).

fof(f64065,plain,
    ( ~ spl0_1179
    | ~ spl0_325
    | spl0_385
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f56836,f18488,f11495,f5760,f3977,f64062]) ).

fof(f56836,plain,
    ( ~ member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_325
    | spl0_385
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f5761,f56612]) ).

fof(f64059,plain,
    ( spl0_796
    | ~ spl0_325
    | ~ spl0_425
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f58670,f18488,f11495,f7172,f3977,f18991]) ).

fof(f18991,plain,
    ( spl0_796
  <=> member(unordered_pair(first(subset_relation),unordered_pair(second(subset_relation),second(subset_relation))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).

fof(f58670,plain,
    ( member(unordered_pair(first(subset_relation),unordered_pair(second(subset_relation),second(subset_relation))),subset_relation)
    | ~ spl0_325
    | ~ spl0_425
    | ~ spl0_594
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f7174,f56612]) ).

fof(f56603,plain,
    ( ~ spl0_737
    | spl0_104
    | ~ spl0_143
    | spl0_491 ),
    inference(avatar_split_clause,[],[f55131,f9540,f1257,f810,f17299]) ).

fof(f55131,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_104
    | ~ spl0_143
    | spl0_491 ),
    inference(forward_demodulation,[],[f9542,f1355]) ).

fof(f1355,plain,
    ( null_class = subset_relation
    | spl0_104
    | ~ spl0_143 ),
    inference(resolution,[],[f1258,f812]) ).

fof(f812,plain,
    ( ~ member(u,subset_relation)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f56601,plain,
    ( spl0_1178
    | ~ spl0_230
    | spl0_385
    | ~ spl0_879 ),
    inference(avatar_split_clause,[],[f21723,f21720,f5760,f2341,f56599]) ).

fof(f56599,plain,
    ( spl0_1178
  <=> ! [X2,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))),rotate(null_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1178])]) ).

fof(f21720,plain,
    ( spl0_879
  <=> ! [X2,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))),rotate(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).

fof(f21723,plain,
    ( ! [X2,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))),rotate(null_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_879 ),
    inference(forward_demodulation,[],[f21721,f11731]) ).

fof(f21721,plain,
    ( ! [X2,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(X0,X0))),subset_relation)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),rotate(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))) )
    | ~ spl0_879 ),
    inference(avatar_component_clause,[],[f21720]) ).

fof(f56566,plain,
    ( spl0_1177
    | ~ spl0_170
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f47340,f1746,f1544,f56564]) ).

fof(f56564,plain,
    ( spl0_1177
  <=> ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1177])]) ).

fof(f47340,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_178 ),
    inference(superposition,[],[f1747,f1545]) ).

fof(f56559,plain,
    ( spl0_1176
    | ~ spl0_80
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f51288,f9850,f4891,f1276,f1257,f810,f615,f56557]) ).

fof(f51288,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_80
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51287,f1355]) ).

fof(f51287,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_80
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51286,f9916]) ).

fof(f51286,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f51285,f1355]) ).

fof(f51285,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_80
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4809,f1355]) ).

fof(f56552,plain,
    ( spl0_1175
    | ~ spl0_81
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f51292,f9850,f4891,f1276,f1257,f810,f621,f56550]) ).

fof(f51292,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51291,f1355]) ).

fof(f51291,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class)) )
    | ~ spl0_81
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51290,f9916]) ).

fof(f51290,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f51289,f1355]) ).

fof(f51289,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_81
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4810,f1355]) ).

fof(f56529,plain,
    ( spl0_1174
    | ~ spl0_33
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f47336,f1746,f318,f56527]) ).

fof(f56527,plain,
    ( spl0_1174
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(X1,regular(cross_product(unordered_pair(X2,X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1174])]) ).

fof(f47336,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(X1,regular(cross_product(unordered_pair(X2,X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X3) )
    | ~ spl0_33
    | ~ spl0_178 ),
    inference(resolution,[],[f1747,f319]) ).

fof(f56524,plain,
    ( spl0_532
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f56471]) ).

fof(f56471,plain,
    ( $false
    | spl0_532
    | ~ spl0_1160 ),
    inference(resolution,[],[f55322,f10337]) ).

fof(f10337,plain,
    ( ~ subclass(subset_relation,complement(null_class))
    | spl0_532 ),
    inference(avatar_component_clause,[],[f10335]) ).

fof(f56523,plain,
    ( spl0_814
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f56472]) ).

fof(f56472,plain,
    ( $false
    | spl0_814
    | ~ spl0_1160 ),
    inference(resolution,[],[f55322,f19729]) ).

fof(f19729,plain,
    ( ~ subclass(subset_relation,complement(subset_relation))
    | spl0_814 ),
    inference(avatar_component_clause,[],[f19727]) ).

fof(f19727,plain,
    ( spl0_814
  <=> subclass(subset_relation,complement(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).

fof(f56522,plain,
    ( spl0_1007
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f56473]) ).

fof(f56473,plain,
    ( $false
    | spl0_1007
    | ~ spl0_1160 ),
    inference(resolution,[],[f55322,f29676]) ).

fof(f29676,plain,
    ( ~ subclass(subset_relation,successor_relation)
    | spl0_1007 ),
    inference(avatar_component_clause,[],[f29674]) ).

fof(f29674,plain,
    ( spl0_1007
  <=> subclass(subset_relation,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).

fof(f56521,plain,
    ( spl0_700
    | ~ spl0_1160 ),
    inference(avatar_contradiction_clause,[],[f56474]) ).

fof(f56474,plain,
    ( $false
    | spl0_700
    | ~ spl0_1160 ),
    inference(resolution,[],[f55322,f16052]) ).

fof(f16052,plain,
    ( ~ subclass(subset_relation,u)
    | spl0_700 ),
    inference(avatar_component_clause,[],[f16051]) ).

fof(f16051,plain,
    ( spl0_700
  <=> subclass(subset_relation,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f56399,plain,
    ( spl0_1173
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1738,f1656,f1257,f810,f326,f56397]) ).

fof(f56397,plain,
    ( spl0_1173
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1173])]) ).

fof(f326,plain,
    ( spl0_35
  <=> ! [X0] :
        ( null_class = X0
        | null_class = intersection(X0,regular(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1656,plain,
    ( spl0_176
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1738,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(forward_demodulation,[],[f1737,f1355]) ).

fof(f1737,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(forward_demodulation,[],[f1721,f1355]) ).

fof(f1721,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(superposition,[],[f1657,f327]) ).

fof(f327,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,regular(X0))
        | null_class = X0 )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f1657,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) )
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f56393,plain,
    ( spl0_1172
    | ~ spl0_78
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f51280,f9850,f4891,f1276,f1257,f810,f607,f56391]) ).

fof(f51280,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51279,f1355]) ).

fof(f51279,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51278,f9916]) ).

fof(f51278,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),rotate(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(first(null_class),first(null_class)))),X1) )
    | ~ spl0_78
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4807,f1355]) ).

fof(f56362,plain,
    ( spl0_1171
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | spl0_812
    | ~ spl0_1170 ),
    inference(avatar_split_clause,[],[f56358,f56353,f19719,f18488,f3977,f1257,f810,f56360]) ).

fof(f56360,plain,
    ( spl0_1171
  <=> ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1171])]) ).

fof(f56353,plain,
    ( spl0_1170
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1170])]) ).

fof(f56358,plain,
    ( ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | spl0_812
    | ~ spl0_1170 ),
    inference(forward_demodulation,[],[f56357,f50882]) ).

fof(f50882,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | spl0_104
    | ~ spl0_143
    | spl0_812 ),
    inference(forward_demodulation,[],[f19733,f1355]) ).

fof(f56357,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1170 ),
    inference(forward_demodulation,[],[f56356,f56103]) ).

fof(f56103,plain,
    ( subset_relation = unordered_pair(subset_relation,subset_relation)
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786 ),
    inference(forward_demodulation,[],[f56017,f1355]) ).

fof(f56356,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1170 ),
    inference(forward_demodulation,[],[f56354,f56103]) ).

fof(f56354,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_1170 ),
    inference(avatar_component_clause,[],[f56353]) ).

fof(f56355,plain,
    ( spl0_1170
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1640,f1614,f1257,f810,f326,f56353]) ).

fof(f1614,plain,
    ( spl0_173
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1640,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1639,f1355]) ).

fof(f1639,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1638,f1355]) ).

fof(f1638,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1637,f1355]) ).

fof(f1637,plain,
    ( ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1630,f1355]) ).

fof(f1630,plain,
    ( ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(superposition,[],[f1615,f327]) ).

fof(f1615,plain,
    ( ! [X2,X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2)) )
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f56151,plain,
    ( spl0_1169
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(avatar_split_clause,[],[f56147,f56144,f18488,f3977,f1257,f810,f56149]) ).

fof(f56147,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_325
    | ~ spl0_786
    | ~ spl0_1168 ),
    inference(forward_demodulation,[],[f56145,f56103]) ).

fof(f56146,plain,
    ( spl0_1168
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1167 ),
    inference(avatar_split_clause,[],[f55990,f55987,f55137,f11502,f56144]) ).

fof(f55990,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),subset_relation)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1167 ),
    inference(forward_demodulation,[],[f55988,f55156]) ).

fof(f55991,plain,
    ( spl0_786
    | ~ spl0_595
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f55156,f55137,f11502,f18488]) ).

fof(f55989,plain,
    ( spl0_1167
    | ~ spl0_79
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f51277,f9850,f4891,f1276,f1257,f810,f611,f55987]) ).

fof(f611,plain,
    ( spl0_79
  <=> ! [X3,X0,X6,X2] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),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(X6,X6))),flip(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f51277,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u))),unordered_pair(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_79
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51276,f1355]) ).

fof(f51276,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_79
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51275,f9916]) ).

fof(f51275,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(subset_relation,subset_relation),unordered_pair(subset_relation,unordered_pair(X0,X0))),flip(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_79
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4808,f1355]) ).

fof(f4808,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),X1) )
    | ~ spl0_79
    | ~ spl0_148 ),
    inference(superposition,[],[f612,f1278]) ).

fof(f612,plain,
    ( ! [X2,X3,X0,X6] :
        ( ~ 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(X6,X6))),flip(X0))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),X0) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f55972,plain,
    ( spl0_1166
    | spl0_104
    | ~ spl0_143
    | ~ spl0_595
    | spl0_812
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(avatar_split_clause,[],[f55968,f55664,f55137,f19719,f11502,f1257,f810,f55970]) ).

fof(f55970,plain,
    ( spl0_1166
  <=> ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1166])]) ).

fof(f55968,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_595
    | spl0_812
    | ~ spl0_1158
    | ~ spl0_1164 ),
    inference(forward_demodulation,[],[f55967,f50882]) ).

fof(f55910,plain,
    ( spl0_1165
    | ~ spl0_595
    | ~ spl0_800
    | ~ spl0_1158 ),
    inference(avatar_split_clause,[],[f55669,f55137,f19013,f11502,f55908]) ).

fof(f55908,plain,
    ( spl0_1165
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1165])]) ).

fof(f19013,plain,
    ( spl0_800
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).

fof(f55669,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class))))) )
    | ~ spl0_595
    | ~ spl0_800
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f55668,f55156]) ).

fof(f55668,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(subset_relation,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_595
    | ~ spl0_800
    | ~ spl0_1158 ),
    inference(forward_demodulation,[],[f19014,f55156]) ).

fof(f19014,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_800 ),
    inference(avatar_component_clause,[],[f19013]) ).

fof(f55666,plain,
    ( spl0_768
    | spl0_1164
    | ~ spl0_178
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f47349,f11495,f1746,f55664,f18265]) ).

fof(f18265,plain,
    ( spl0_768
  <=> subset_relation = cross_product(subset_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).

fof(f47349,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(subset_relation,universal_class)
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_178
    | ~ spl0_594 ),
    inference(superposition,[],[f1747,f11496]) ).

fof(f55635,plain,
    ( spl0_1163
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1162 ),
    inference(avatar_split_clause,[],[f55624,f55621,f55137,f11502,f55633]) ).

fof(f55621,plain,
    ( spl0_1162
  <=> ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1162])]) ).

fof(f55624,plain,
    ( ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) )
    | ~ spl0_595
    | ~ spl0_1158
    | ~ spl0_1162 ),
    inference(forward_demodulation,[],[f55622,f55156]) ).

fof(f55622,plain,
    ( ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) )
    | ~ spl0_1162 ),
    inference(avatar_component_clause,[],[f55621]) ).

fof(f55625,plain,
    ( ~ spl0_1137
    | spl0_104
    | ~ spl0_143
    | spl0_553 ),
    inference(avatar_split_clause,[],[f52472,f10804,f1257,f810,f39967]) ).

fof(f52472,plain,
    ( ~ subclass(identity_relation,subset_relation)
    | spl0_104
    | ~ spl0_143
    | spl0_553 ),
    inference(forward_demodulation,[],[f10805,f1355]) ).

fof(f55623,plain,
    ( spl0_1162
    | ~ spl0_73
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f51283,f9850,f4891,f1276,f1257,f810,f572,f55621]) ).

fof(f572,plain,
    ( spl0_73
  <=> ! [X4,X7,X5,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
        | member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f51283,plain,
    ( ! [X0,X1] :
        ( member(second(subset_relation),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) )
    | ~ spl0_73
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51282,f1355]) ).

fof(f51282,plain,
    ( ! [X0,X1] :
        ( member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(subset_relation,compose(X0,X1)) )
    | ~ spl0_73
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f51281,f9916]) ).

fof(f51281,plain,
    ( ! [X0,X1] :
        ( ~ member(subset_relation,compose(X0,X1))
        | member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) )
    | ~ spl0_73
    | spl0_104
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4806,f1355]) ).

fof(f4806,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,compose(X0,X1))
        | member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_148 ),
    inference(superposition,[],[f573,f1278]) ).

fof(f573,plain,
    ( ! [X1,X7,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
        | member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class))))) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f55469,plain,
    ( ~ spl0_1161
    | ~ spl0_230
    | spl0_385
    | spl0_753 ),
    inference(avatar_split_clause,[],[f17761,f17751,f5760,f2341,f55466]) ).

fof(f55466,plain,
    ( spl0_1161
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(null_class),complement(null_class)),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1161])]) ).

fof(f17751,plain,
    ( spl0_753
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).

fof(f17761,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(null_class),complement(null_class)),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_230
    | spl0_385
    | spl0_753 ),
    inference(forward_demodulation,[],[f17753,f11731]) ).

fof(f17753,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation)
    | spl0_753 ),
    inference(avatar_component_clause,[],[f17751]) ).

fof(f55351,plain,
    ( spl0_672
    | ~ spl0_230
    | spl0_385
    | ~ spl0_671 ),
    inference(avatar_split_clause,[],[f15213,f15208,f5760,f2341,f15215]) ).

fof(f15208,plain,
    ( spl0_671
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),X1)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f15213,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,null_class)),subset_relation)
        | subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_671 ),
    inference(forward_demodulation,[],[f15212,f11731]) ).

fof(f15212,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,null_class))
        | ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_671 ),
    inference(forward_demodulation,[],[f15211,f11731]) ).

fof(f15211,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,null_class)),X1)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_671 ),
    inference(forward_demodulation,[],[f15209,f11731]) ).

fof(f15209,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),X1) )
    | ~ spl0_671 ),
    inference(avatar_component_clause,[],[f15208]) ).

fof(f55324,plain,
    ( spl0_502
    | ~ spl0_230
    | spl0_385
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f27383,f9811,f5760,f2341,f9817]) ).

fof(f9811,plain,
    ( spl0_501
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f27383,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_230
    | spl0_385
    | ~ spl0_501 ),
    inference(forward_demodulation,[],[f9812,f11731]) ).

fof(f9812,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_501 ),
    inference(avatar_component_clause,[],[f9811]) ).

fof(f55323,plain,
    ( spl0_1160
    | spl0_104
    | ~ spl0_143
    | ~ spl0_1138 ),
    inference(avatar_split_clause,[],[f52299,f39972,f1257,f810,f55321]) ).

fof(f52299,plain,
    ( ! [X0] : subclass(subset_relation,X0)
    | spl0_104
    | ~ spl0_143
    | ~ spl0_1138 ),
    inference(forward_demodulation,[],[f39973,f1355]) ).

fof(f55299,plain,
    ( spl0_1159
    | ~ spl0_33
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f54347,f11490,f318,f55297]) ).

fof(f54347,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(subset_relation,X0) )
    | ~ spl0_33
    | ~ spl0_593 ),
    inference(resolution,[],[f11491,f319]) ).

fof(f55139,plain,
    ( spl0_1158
    | ~ spl0_42
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18102,f11495,f382,f55137]) ).

fof(f382,plain,
    ( spl0_42
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | X0 = X2
        | ~ member(X2,unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f18102,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | u = X0 )
    | ~ spl0_42
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17897]) ).

fof(f17897,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | u = X0
        | u = X0 )
    | ~ spl0_42
    | ~ spl0_594 ),
    inference(superposition,[],[f383,f11496]) ).

fof(f383,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,unordered_pair(X0,X1))
        | X0 = X2
        | X1 = X2 )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f55129,plain,
    ( ~ spl0_737
    | spl0_104
    | ~ spl0_143
    | spl0_419 ),
    inference(avatar_split_clause,[],[f47599,f7147,f1257,f810,f17299]) ).

fof(f47599,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_104
    | ~ spl0_143
    | spl0_419 ),
    inference(forward_demodulation,[],[f7148,f1355]) ).

fof(f54936,plain,
    ( spl0_1086
    | spl0_104
    | ~ spl0_143
    | ~ spl0_403
    | ~ spl0_906
    | spl0_1087 ),
    inference(avatar_split_clause,[],[f54605,f36630,f23112,f6844,f1257,f810,f36607]) ).

fof(f6844,plain,
    ( spl0_403
  <=> member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f23112,plain,
    ( spl0_906
  <=> element_relation = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).

fof(f54605,plain,
    ( member(regular(subset_relation),subset_relation)
    | spl0_104
    | ~ spl0_143
    | ~ spl0_403
    | ~ spl0_906
    | spl0_1087 ),
    inference(forward_demodulation,[],[f54604,f52519]) ).

fof(f52519,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | spl0_104
    | ~ spl0_143
    | spl0_1087 ),
    inference(forward_demodulation,[],[f36955,f1355]) ).

fof(f54604,plain,
    ( member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_403
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f6846,f23114]) ).

fof(f23114,plain,
    ( element_relation = subset_relation
    | ~ spl0_906 ),
    inference(avatar_component_clause,[],[f23112]) ).

fof(f6846,plain,
    ( member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_403 ),
    inference(avatar_component_clause,[],[f6844]) ).

fof(f54353,plain,
    ( spl0_1086
    | spl0_104
    | ~ spl0_143
    | ~ spl0_403
    | spl0_596 ),
    inference(avatar_split_clause,[],[f47598,f11569,f6844,f1257,f810,f36607]) ).

fof(f47598,plain,
    ( member(regular(subset_relation),subset_relation)
    | spl0_104
    | ~ spl0_143
    | ~ spl0_403
    | spl0_596 ),
    inference(forward_demodulation,[],[f47271,f1355]) ).

fof(f47271,plain,
    ( member(regular(subset_relation),null_class)
    | ~ spl0_143
    | ~ spl0_403
    | spl0_596 ),
    inference(forward_demodulation,[],[f6846,f41895]) ).

fof(f41895,plain,
    ( null_class = intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
    | ~ spl0_143
    | spl0_596 ),
    inference(resolution,[],[f11570,f1258]) ).

fof(f11570,plain,
    ( ~ member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | spl0_596 ),
    inference(avatar_component_clause,[],[f11569]) ).

fof(f54284,plain,
    ( spl0_969
    | ~ spl0_107
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f53957,f23112,f830,f28280]) ).

fof(f28280,plain,
    ( spl0_969
  <=> cross_product(universal_class,universal_class) = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).

fof(f830,plain,
    ( spl0_107
  <=> element_relation = cross_product(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f53957,plain,
    ( cross_product(universal_class,universal_class) = subset_relation
    | ~ spl0_107
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f832,f23114]) ).

fof(f832,plain,
    ( element_relation = cross_product(universal_class,universal_class)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f53919,plain,
    ( spl0_1086
    | ~ spl0_243
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33153,f28280,f2442,f36607]) ).

fof(f2442,plain,
    ( spl0_243
  <=> member(regular(subset_relation),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f33153,plain,
    ( member(regular(subset_relation),subset_relation)
    | ~ spl0_243
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f2444,f28282]) ).

fof(f28282,plain,
    ( cross_product(universal_class,universal_class) = subset_relation
    | ~ spl0_969 ),
    inference(avatar_component_clause,[],[f28280]) ).

fof(f2444,plain,
    ( member(regular(subset_relation),cross_product(universal_class,universal_class))
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f53822,plain,
    ( ~ spl0_1141
    | spl0_104
    | ~ spl0_143
    | spl0_287 ),
    inference(avatar_split_clause,[],[f53772,f3139,f1257,f810,f40644]) ).

fof(f53772,plain,
    ( ~ member(subset_relation,identity_relation)
    | spl0_104
    | ~ spl0_143
    | spl0_287 ),
    inference(forward_demodulation,[],[f3140,f1355]) ).

fof(f53821,plain,
    ( ~ spl0_902
    | spl0_104
    | ~ spl0_143
    | spl0_215 ),
    inference(avatar_split_clause,[],[f53611,f2205,f1257,f810,f22894]) ).

fof(f53611,plain,
    ( identity_relation != subset_relation
    | spl0_104
    | ~ spl0_143
    | spl0_215 ),
    inference(forward_demodulation,[],[f2206,f1355]) ).

fof(f2206,plain,
    ( null_class != identity_relation
    | spl0_215 ),
    inference(avatar_component_clause,[],[f2205]) ).

fof(f53596,plain,
    ( ~ spl0_1086
    | spl0_104
    | ~ spl0_143
    | spl0_404 ),
    inference(avatar_split_clause,[],[f51044,f6851,f1257,f810,f36607]) ).

fof(f51044,plain,
    ( ~ member(regular(subset_relation),subset_relation)
    | spl0_104
    | ~ spl0_143
    | spl0_404 ),
    inference(forward_demodulation,[],[f6852,f1355]) ).

fof(f53593,plain,
    ( ~ spl0_1157
    | ~ spl0_230
    | spl0_385
    | spl0_754 ),
    inference(avatar_split_clause,[],[f17759,f17755,f5760,f2341,f53590]) ).

fof(f17755,plain,
    ( spl0_754
  <=> member(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).

fof(f17759,plain,
    ( ~ member(complement(null_class),universal_class)
    | ~ spl0_230
    | spl0_385
    | spl0_754 ),
    inference(forward_demodulation,[],[f17757,f11731]) ).

fof(f17757,plain,
    ( ~ member(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),universal_class)
    | spl0_754 ),
    inference(avatar_component_clause,[],[f17755]) ).

fof(f52506,plain,
    ( ~ spl0_595
    | ~ spl0_97
    | spl0_593 ),
    inference(avatar_split_clause,[],[f47316,f11490,f723,f11502]) ).

fof(f723,plain,
    ( spl0_97
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f47316,plain,
    ( ~ member(subset_relation,subset_relation)
    | ~ spl0_97
    | spl0_593 ),
    inference(resolution,[],[f11492,f724]) ).

fof(f724,plain,
    ( ! [X0] :
        ( member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,subset_relation) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f11492,plain,
    ( ~ member(subset_relation,cross_product(universal_class,universal_class))
    | spl0_593 ),
    inference(avatar_component_clause,[],[f11490]) ).

fof(f52498,plain,
    ( spl0_595
    | spl0_104
    | ~ spl0_143
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f47597,f1975,f1257,f810,f11502]) ).

fof(f47597,plain,
    ( member(subset_relation,subset_relation)
    | spl0_104
    | ~ spl0_143
    | ~ spl0_196 ),
    inference(forward_demodulation,[],[f1976,f1355]) ).

fof(f47551,plain,
    ( ~ spl0_1086
    | ~ spl0_215
    | spl0_404
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f43345,f22894,f6851,f2205,f36607]) ).

fof(f43345,plain,
    ( ~ member(regular(subset_relation),subset_relation)
    | ~ spl0_215
    | spl0_404
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f6852,f41013]) ).

fof(f41013,plain,
    ( null_class = subset_relation
    | ~ spl0_215
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f2207,f22896]) ).

fof(f47538,plain,
    ( spl0_1086
    | ~ spl0_143
    | ~ spl0_215
    | ~ spl0_403
    | spl0_596
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f47272,f22894,f11569,f6844,f2205,f1257,f36607]) ).

fof(f47272,plain,
    ( member(regular(subset_relation),subset_relation)
    | ~ spl0_143
    | ~ spl0_215
    | ~ spl0_403
    | spl0_596
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f47271,f41013]) ).

fof(f47394,plain,
    ( spl0_207
    | ~ spl0_143
    | ~ spl0_385
    | spl0_596 ),
    inference(avatar_split_clause,[],[f42003,f11569,f5760,f1257,f2052]) ).

fof(f42003,plain,
    ( member(null_class,null_class)
    | ~ spl0_143
    | ~ spl0_385
    | spl0_596 ),
    inference(forward_demodulation,[],[f5762,f41895]) ).

fof(f5762,plain,
    ( member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_385 ),
    inference(avatar_component_clause,[],[f5760]) ).

fof(f41897,plain,
    ( ~ spl0_104
    | ~ spl0_137
    | spl0_596 ),
    inference(avatar_split_clause,[],[f41893,f11569,f1189,f810]) ).

fof(f41893,plain,
    ( ~ member(u,subset_relation)
    | ~ spl0_137
    | spl0_596 ),
    inference(resolution,[],[f11570,f1190]) ).

fof(f41697,plain,
    ( spl0_595
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1087
    | ~ spl0_1156 ),
    inference(avatar_split_clause,[],[f41696,f41692,f36630,f2438,f1257,f11502]) ).

fof(f41696,plain,
    ( member(subset_relation,subset_relation)
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1087
    | ~ spl0_1156 ),
    inference(forward_demodulation,[],[f41694,f41666]) ).

fof(f41666,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1087 ),
    inference(forward_demodulation,[],[f36955,f2440]) ).

fof(f41694,plain,
    ( member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_1156 ),
    inference(avatar_component_clause,[],[f41692]) ).

fof(f41695,plain,
    ( spl0_1156
    | ~ spl0_242
    | ~ spl0_385
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f41663,f23112,f5760,f2438,f41692]) ).

fof(f41663,plain,
    ( member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_242
    | ~ spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f41619,f2440]) ).

fof(f41619,plain,
    ( member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f5762,f23114]) ).

fof(f41662,plain,
    ( spl0_1155
    | ~ spl0_44
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_387
    | spl0_1085 ),
    inference(avatar_split_clause,[],[f41609,f34797,f5770,f2438,f1257,f390,f41659]) ).

fof(f34797,plain,
    ( spl0_1085
  <=> member(u,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1085])]) ).

fof(f41609,plain,
    ( member(subset_relation,intersection(subset_relation,cross_product(universal_class,universal_class)))
    | ~ spl0_44
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_387
    | spl0_1085 ),
    inference(forward_demodulation,[],[f41608,f391]) ).

fof(f41608,plain,
    ( member(subset_relation,intersection(cross_product(universal_class,universal_class),subset_relation))
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_387
    | spl0_1085 ),
    inference(forward_demodulation,[],[f31135,f39716]) ).

fof(f39716,plain,
    ( subset_relation = complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1085 ),
    inference(forward_demodulation,[],[f39715,f2440]) ).

fof(f39715,plain,
    ( null_class = complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_143
    | spl0_1085 ),
    inference(resolution,[],[f34798,f1258]) ).

fof(f34798,plain,
    ( ~ member(u,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | spl0_1085 ),
    inference(avatar_component_clause,[],[f34797]) ).

fof(f31135,plain,
    ( member(subset_relation,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_242
    | ~ spl0_387 ),
    inference(forward_demodulation,[],[f5771,f2440]) ).

fof(f5771,plain,
    ( member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | ~ spl0_387 ),
    inference(avatar_component_clause,[],[f5770]) ).

fof(f41530,plain,
    ( spl0_174
    | ~ spl0_33
    | ~ spl0_242
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f36471,f9850,f7172,f2438,f318,f1618]) ).

fof(f1618,plain,
    ( spl0_174
  <=> ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f36471,plain,
    ( ! [X0] :
        ( member(u,X0)
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_33
    | ~ spl0_242
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f36470,f36468]) ).

fof(f36468,plain,
    ( u = unordered_pair(first(subset_relation),unordered_pair(second(subset_relation),second(subset_relation)))
    | ~ spl0_242
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f9917,f2440]) ).

fof(f36470,plain,
    ( ! [X0] :
        ( member(unordered_pair(first(subset_relation),unordered_pair(second(subset_relation),second(subset_relation))),X0)
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_33
    | ~ spl0_242
    | ~ spl0_425 ),
    inference(forward_demodulation,[],[f36469,f2440]) ).

fof(f36469,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),X0) )
    | ~ spl0_33
    | ~ spl0_242
    | ~ spl0_425 ),
    inference(forward_demodulation,[],[f7187,f2440]) ).

fof(f7187,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),X0) )
    | ~ spl0_33
    | ~ spl0_425 ),
    inference(resolution,[],[f7174,f319]) ).

fof(f41434,plain,
    ( ~ spl0_737
    | spl0_742
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f41054,f22894,f17480,f17299]) ).

fof(f41054,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_742
    | ~ spl0_902 ),
    inference(superposition,[],[f17482,f22896]) ).

fof(f41433,plain,
    ( spl0_1154
    | ~ spl0_61
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1725,f1656,f1257,f810,f490,f41431]) ).

fof(f41431,plain,
    ( spl0_1154
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1154])]) ).

fof(f1725,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class) )
    | ~ spl0_61
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(forward_demodulation,[],[f1699,f1355]) ).

fof(f1699,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_61
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f491]) ).

fof(f41429,plain,
    ( spl0_1153
    | ~ spl0_61
    | spl0_104
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1685,f1652,f1257,f810,f490,f41427]) ).

fof(f41427,plain,
    ( spl0_1153
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1153])]) ).

fof(f1652,plain,
    ( spl0_175
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(X3,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1685,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class) )
    | ~ spl0_61
    | spl0_104
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(forward_demodulation,[],[f1659,f1355]) ).

fof(f1659,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_61
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f491]) ).

fof(f1653,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(X3,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f41319,plain,
    ( spl0_1152
    | spl0_104
    | ~ spl0_106
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1735,f1656,f1257,f826,f810,f41317]) ).

fof(f41317,plain,
    ( spl0_1152
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1152])]) ).

fof(f1735,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))) )
    | spl0_104
    | ~ spl0_106
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(forward_demodulation,[],[f1714,f1355]) ).

fof(f1714,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | null_class = X1 )
    | ~ spl0_106
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f827]) ).

fof(f41315,plain,
    ( spl0_1151
    | spl0_104
    | ~ spl0_106
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1695,f1652,f1257,f826,f810,f41313]) ).

fof(f41313,plain,
    ( spl0_1151
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1151])]) ).

fof(f1695,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))) )
    | spl0_104
    | ~ spl0_106
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(forward_demodulation,[],[f1674,f1355]) ).

fof(f1674,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | null_class = X1 )
    | ~ spl0_106
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f827]) ).

fof(f41267,plain,
    ( spl0_1150
    | ~ spl0_33
    | ~ spl0_1140 ),
    inference(avatar_split_clause,[],[f40606,f40584,f318,f41265]) ).

fof(f41265,plain,
    ( spl0_1150
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1150])]) ).

fof(f40606,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X3) )
    | ~ spl0_33
    | ~ spl0_1140 ),
    inference(resolution,[],[f40585,f319]) ).

fof(f41209,plain,
    ( spl0_1149
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176
    | ~ spl0_242
    | spl0_812 ),
    inference(avatar_split_clause,[],[f40532,f19719,f2438,f1656,f1257,f810,f326,f41207]) ).

fof(f41207,plain,
    ( spl0_1149
  <=> ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(subset_relation,universal_class)),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1149])]) ).

fof(f40532,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(subset_relation,universal_class)),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_35
    | spl0_104
    | ~ spl0_143
    | ~ spl0_176
    | ~ spl0_242
    | spl0_812 ),
    inference(forward_demodulation,[],[f1738,f32426]) ).

fof(f32426,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812 ),
    inference(forward_demodulation,[],[f19733,f2440]) ).

fof(f41194,plain,
    ( ~ spl0_737
    | ~ spl0_242
    | spl0_640
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f22942,f22894,f14220,f2438,f17299]) ).

fof(f22942,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | ~ spl0_242
    | spl0_640
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f22935,f2440]) ).

fof(f22935,plain,
    ( ~ subclass(null_class,subset_relation)
    | spl0_640
    | ~ spl0_902 ),
    inference(superposition,[],[f14222,f22896]) ).

fof(f41158,plain,
    ( spl0_1148
    | ~ spl0_12
    | spl0_104
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1687,f1652,f1257,f810,f220,f41156]) ).

fof(f41156,plain,
    ( spl0_1148
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,X2))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1148])]) ).

fof(f1687,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,X2))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_12
    | spl0_104
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(forward_demodulation,[],[f1686,f1355]) ).

fof(f1686,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_12
    | spl0_104
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(forward_demodulation,[],[f1663,f1355]) ).

fof(f1663,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_12
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f221]) ).

fof(f41154,plain,
    ( spl0_1147
    | ~ spl0_44
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1644,f1614,f1257,f810,f390,f41152]) ).

fof(f41152,plain,
    ( spl0_1147
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1147])]) ).

fof(f1644,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl0_44
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1643,f1355]) ).

fof(f1643,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X2,X1)) )
    | ~ spl0_44
    | spl0_104
    | ~ spl0_143
    | ~ spl0_173 ),
    inference(forward_demodulation,[],[f1632,f1355]) ).

fof(f1632,plain,
    ( ! [X2,X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X2,X1)) )
    | ~ spl0_44
    | ~ spl0_173 ),
    inference(superposition,[],[f1615,f391]) ).

fof(f41135,plain,
    ( spl0_1146
    | ~ spl0_594
    | ~ spl0_1140 ),
    inference(avatar_split_clause,[],[f40607,f40584,f11495,f41133]) ).

fof(f41133,plain,
    ( spl0_1146
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1146])]) ).

fof(f40607,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_594
    | ~ spl0_1140 ),
    inference(superposition,[],[f40585,f11496]) ).

fof(f41062,plain,
    ( spl0_1086
    | ~ spl0_216
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f23065,f22894,f2209,f36607]) ).

fof(f23065,plain,
    ( member(regular(subset_relation),subset_relation)
    | ~ spl0_216
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f2211,f22896]) ).

fof(f40846,plain,
    ( spl0_902
    | ~ spl0_937
    | spl0_1141 ),
    inference(avatar_split_clause,[],[f40648,f40644,f25216,f22894]) ).

fof(f25216,plain,
    ( spl0_937
  <=> ! [X0] :
        ( member(subset_relation,X0)
        | subset_relation = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).

fof(f40648,plain,
    ( identity_relation = subset_relation
    | ~ spl0_937
    | spl0_1141 ),
    inference(resolution,[],[f40646,f25217]) ).

fof(f25217,plain,
    ( ! [X0] :
        ( member(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_937 ),
    inference(avatar_component_clause,[],[f25216]) ).

fof(f40845,plain,
    ( spl0_768
    | spl0_1145
    | ~ spl0_594
    | ~ spl0_1140 ),
    inference(avatar_split_clause,[],[f40619,f40584,f11495,f40843,f18265]) ).

fof(f40843,plain,
    ( spl0_1145
  <=> ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1145])]) ).

fof(f40619,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | subset_relation = cross_product(subset_relation,universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_594
    | ~ spl0_1140 ),
    inference(superposition,[],[f40585,f11496]) ).

fof(f40764,plain,
    ( spl0_1144
    | ~ spl0_120
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f40043,f1401,f970,f40762]) ).

fof(f40762,plain,
    ( spl0_1144
  <=> ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1144])]) ).

fof(f970,plain,
    ( spl0_120
  <=> ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1401,plain,
    ( spl0_160
  <=> ! [X0,X1] :
        ( subset_relation = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | subclass(X0,domain_of(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f40043,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0)) )
    | ~ spl0_120
    | ~ spl0_160 ),
    inference(duplicate_literal_removal,[],[f32373]) ).

fof(f32373,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0))
        | subclass(intersection(X1,universal_class),domain_of(X0)) )
    | ~ spl0_120
    | ~ spl0_160 ),
    inference(resolution,[],[f1402,f971]) ).

fof(f971,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f1402,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | subset_relation = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | subclass(X0,domain_of(X1)) )
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f40760,plain,
    ( spl0_1143
    | ~ spl0_119
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f40041,f1401,f966,f40758]) ).

fof(f40758,plain,
    ( spl0_1143
  <=> ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1143])]) ).

fof(f966,plain,
    ( spl0_119
  <=> ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f40041,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0)) )
    | ~ spl0_119
    | ~ spl0_160 ),
    inference(duplicate_literal_removal,[],[f32371]) ).

fof(f32371,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0))
        | subclass(intersection(universal_class,X1),domain_of(X0)) )
    | ~ spl0_119
    | ~ spl0_160 ),
    inference(resolution,[],[f1402,f967]) ).

fof(f967,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f40653,plain,
    ( ~ spl0_593
    | spl0_595
    | ~ spl0_1142
    | ~ spl0_72
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f40086,f23112,f2438,f1276,f567,f40650,f11502,f11490]) ).

fof(f40650,plain,
    ( spl0_1142
  <=> member(first(subset_relation),second(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1142])]) ).

fof(f567,plain,
    ( spl0_72
  <=> ! [X0,X1] :
        ( ~ member(X0,X1)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f40086,plain,
    ( ~ member(first(subset_relation),second(subset_relation))
    | member(subset_relation,subset_relation)
    | ~ member(subset_relation,cross_product(universal_class,universal_class))
    | ~ spl0_72
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f40016,f2440]) ).

fof(f40016,plain,
    ( member(subset_relation,subset_relation)
    | ~ member(subset_relation,cross_product(universal_class,universal_class))
    | ~ member(first(null_class),second(null_class))
    | ~ spl0_72
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36539,f2440]) ).

fof(f36539,plain,
    ( member(null_class,subset_relation)
    | ~ member(subset_relation,cross_product(universal_class,universal_class))
    | ~ member(first(null_class),second(null_class))
    | ~ spl0_72
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36538,f23114]) ).

fof(f36538,plain,
    ( ~ member(subset_relation,cross_product(universal_class,universal_class))
    | member(null_class,element_relation)
    | ~ member(first(null_class),second(null_class))
    | ~ spl0_72
    | ~ spl0_148
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f4805,f2440]) ).

fof(f4805,plain,
    ( ~ member(null_class,cross_product(universal_class,universal_class))
    | member(null_class,element_relation)
    | ~ member(first(null_class),second(null_class))
    | ~ spl0_72
    | ~ spl0_148 ),
    inference(superposition,[],[f568,f1278]) ).

fof(f568,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f40647,plain,
    ( ~ spl0_1141
    | ~ spl0_242
    | spl0_287 ),
    inference(avatar_split_clause,[],[f40034,f3139,f2438,f40644]) ).

fof(f40034,plain,
    ( ~ member(subset_relation,identity_relation)
    | ~ spl0_242
    | spl0_287 ),
    inference(forward_demodulation,[],[f3140,f2440]) ).

fof(f40641,plain,
    ( ~ spl0_104
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_906
    | spl0_1087 ),
    inference(avatar_split_clause,[],[f36634,f36630,f23112,f5760,f2438,f2341,f810]) ).

fof(f36634,plain,
    ( ~ member(u,subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_906
    | spl0_1087 ),
    inference(forward_demodulation,[],[f36632,f35289]) ).

fof(f35289,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f31712,f2440]) ).

fof(f31712,plain,
    ( null_class = intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_230
    | spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f11731,f23114]) ).

fof(f40586,plain,
    ( spl0_1140
    | ~ spl0_143
    | ~ spl0_178
    | ~ spl0_242
    | spl0_812 ),
    inference(avatar_split_clause,[],[f40462,f19719,f2438,f1746,f1257,f40584]) ).

fof(f40462,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_178
    | ~ spl0_242
    | spl0_812 ),
    inference(forward_demodulation,[],[f1747,f32426]) ).

fof(f40035,plain,
    ( spl0_595
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_385
    | spl0_387
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f40014,f23112,f5770,f5760,f2438,f2341,f11502]) ).

fof(f40014,plain,
    ( member(subset_relation,subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_385
    | spl0_387
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36953,f2440]) ).

fof(f36953,plain,
    ( member(null_class,subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_385
    | spl0_387
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36952,f31472]) ).

fof(f36952,plain,
    ( member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f5762,f23114]) ).

fof(f40013,plain,
    ( spl0_196
    | ~ spl0_89
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f3148,f3139,f661,f1975]) ).

fof(f661,plain,
    ( spl0_89
  <=> ! [X0] :
        ( ~ member(X0,identity_relation)
        | member(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3148,plain,
    ( member(null_class,subset_relation)
    | ~ spl0_89
    | ~ spl0_287 ),
    inference(resolution,[],[f3141,f662]) ).

fof(f662,plain,
    ( ! [X0] :
        ( ~ member(X0,identity_relation)
        | member(X0,subset_relation) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f40011,plain,
    ( ~ spl0_1139
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_234
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2504,f2400,f2363,f206,f185,f40008]) ).

fof(f40008,plain,
    ( spl0_1139
  <=> subclass(universal_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1139])]) ).

fof(f2504,plain,
    ( ~ subclass(universal_class,null_class)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_234
    | ~ spl0_237 ),
    inference(forward_demodulation,[],[f2484,f2379]) ).

fof(f2484,plain,
    ( ~ subclass(universal_class,complement(universal_class))
    | ~ spl0_9
    | ~ spl0_237 ),
    inference(resolution,[],[f2401,f207]) ).

fof(f40006,plain,
    ( ~ spl0_902
    | spl0_215
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2467,f2438,f2205,f22894]) ).

fof(f2467,plain,
    ( identity_relation != subset_relation
    | spl0_215
    | ~ spl0_242 ),
    inference(superposition,[],[f2206,f2440]) ).

fof(f39976,plain,
    ( spl0_507
    | ~ spl0_84
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2450,f2438,f638,f9868]) ).

fof(f2450,plain,
    ( member(subset_relation,universal_class)
    | ~ spl0_84
    | ~ spl0_242 ),
    inference(superposition,[],[f639,f2440]) ).

fof(f39974,plain,
    ( spl0_1138
    | ~ spl0_4
    | ~ spl0_234
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f2385,f2367,f2363,f185,f39972]) ).

fof(f2385,plain,
    ( ! [X0] : subclass(null_class,X0)
    | ~ spl0_4
    | ~ spl0_234
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f2382,f2379]) ).

fof(f2382,plain,
    ( ! [X0] : subclass(complement(universal_class),X0)
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(resolution,[],[f2368,f186]) ).

fof(f39970,plain,
    ( spl0_1137
    | ~ spl0_38
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2041,f2021,f339,f39967]) ).

fof(f339,plain,
    ( spl0_38
  <=> identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2021,plain,
    ( spl0_205
  <=> ! [X0,X1] : subclass(intersection(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f2041,plain,
    ( subclass(identity_relation,subset_relation)
    | ~ spl0_38
    | ~ spl0_205 ),
    inference(superposition,[],[f2022,f341]) ).

fof(f341,plain,
    ( identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2022,plain,
    ( ! [X0,X1] : subclass(intersection(X0,X1),X1)
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f2021]) ).

fof(f39773,plain,
    ( spl0_1136
    | ~ spl0_23
    | ~ spl0_1084 ),
    inference(avatar_split_clause,[],[f39685,f34793,f268,f39771]) ).

fof(f39771,plain,
    ( spl0_1136
  <=> ! [X0] :
        ( subclass(subset_relation,X0)
        | subset_relation = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1136])]) ).

fof(f268,plain,
    ( spl0_23
  <=> ! [X0,X1] :
        ( subclass(X0,X1)
        | ~ member(not_subclass_element(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f34793,plain,
    ( spl0_1084
  <=> ! [X0,X1] :
        ( subset_relation = X1
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1084])]) ).

fof(f39685,plain,
    ( ! [X0] :
        ( subclass(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_23
    | ~ spl0_1084 ),
    inference(duplicate_literal_removal,[],[f39582]) ).

fof(f39582,plain,
    ( ! [X0] :
        ( subclass(subset_relation,X0)
        | subset_relation = X0
        | subclass(subset_relation,X0) )
    | ~ spl0_23
    | ~ spl0_1084 ),
    inference(resolution,[],[f34794,f269]) ).

fof(f269,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,X1),X1)
        | subclass(X0,X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f34794,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(subset_relation,X0),X1)
        | subclass(subset_relation,X0)
        | subset_relation = X1 )
    | ~ spl0_1084 ),
    inference(avatar_component_clause,[],[f34793]) ).

fof(f39769,plain,
    ( ~ spl0_1135
    | ~ spl0_242
    | spl0_1127 ),
    inference(avatar_split_clause,[],[f39736,f39732,f2438,f39766]) ).

fof(f39766,plain,
    ( spl0_1135
  <=> member(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1135])]) ).

fof(f39736,plain,
    ( ~ member(unordered_pair(unordered_pair(second(subset_relation),second(subset_relation)),unordered_pair(second(subset_relation),u)),subset_relation)
    | ~ spl0_242
    | spl0_1127 ),
    inference(forward_demodulation,[],[f39734,f2440]) ).

fof(f39764,plain,
    ( spl0_1134
    | ~ spl0_594
    | ~ spl0_772 ),
    inference(avatar_split_clause,[],[f18319,f18298,f11495,f39762]) ).

fof(f39762,plain,
    ( spl0_1134
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),cross_product(X0,X1))
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1134])]) ).

fof(f18298,plain,
    ( spl0_772
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(u,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).

fof(f18319,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),cross_product(X0,X1))
        | member(u,X0) )
    | ~ spl0_594
    | ~ spl0_772 ),
    inference(superposition,[],[f18299,f11496]) ).

fof(f18299,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(u,X1) )
    | ~ spl0_772 ),
    inference(avatar_component_clause,[],[f18298]) ).

fof(f39760,plain,
    ( spl0_1133
    | ~ spl0_594
    | ~ spl0_770 ),
    inference(avatar_split_clause,[],[f18307,f18290,f11495,f39758]) ).

fof(f39758,plain,
    ( spl0_1133
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),cross_product(X0,X1))
        | member(u,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1133])]) ).

fof(f18307,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),cross_product(X0,X1))
        | member(u,X1) )
    | ~ spl0_594
    | ~ spl0_770 ),
    inference(superposition,[],[f18291,f11496]) ).

fof(f39756,plain,
    ( spl0_1132
    | ~ spl0_479
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18085,f11495,f9169,f39754]) ).

fof(f39754,plain,
    ( spl0_1132
  <=> ! [X0,X1] :
        ( subclass(intersection(subset_relation,X0),X1)
        | u = not_subclass_element(intersection(subset_relation,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1132])]) ).

fof(f9169,plain,
    ( spl0_479
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(unordered_pair(X0,X1),X2),X3)
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X0
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f18085,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(subset_relation,X0),X1)
        | u = not_subclass_element(intersection(subset_relation,X0),X1) )
    | ~ spl0_479
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17930]) ).

fof(f17930,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(subset_relation,X0),X1)
        | u = not_subclass_element(intersection(subset_relation,X0),X1)
        | u = not_subclass_element(intersection(subset_relation,X0),X1) )
    | ~ spl0_479
    | ~ spl0_594 ),
    inference(superposition,[],[f9170,f11496]) ).

fof(f9170,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(unordered_pair(X0,X1),X2),X3)
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X0
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X1 )
    | ~ spl0_479 ),
    inference(avatar_component_clause,[],[f9169]) ).

fof(f39752,plain,
    ( spl0_1131
    | ~ spl0_480
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18084,f11495,f9173,f39750]) ).

fof(f39750,plain,
    ( spl0_1131
  <=> ! [X0,X1] :
        ( subclass(intersection(X0,subset_relation),X1)
        | u = not_subclass_element(intersection(X0,subset_relation),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1131])]) ).

fof(f9173,plain,
    ( spl0_480
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,unordered_pair(X1,X2)),X3)
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X1
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f18084,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,subset_relation),X1)
        | u = not_subclass_element(intersection(X0,subset_relation),X1) )
    | ~ spl0_480
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17931]) ).

fof(f17931,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,subset_relation),X1)
        | u = not_subclass_element(intersection(X0,subset_relation),X1)
        | u = not_subclass_element(intersection(X0,subset_relation),X1) )
    | ~ spl0_480
    | ~ spl0_594 ),
    inference(superposition,[],[f9174,f11496]) ).

fof(f9174,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,unordered_pair(X1,X2)),X3)
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X1
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X2 )
    | ~ spl0_480 ),
    inference(avatar_component_clause,[],[f9173]) ).

fof(f39748,plain,
    ( spl0_1130
    | ~ spl0_305
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18003,f11495,f3474,f39746]) ).

fof(f39746,plain,
    ( spl0_1130
  <=> ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),subset_relation)
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1130])]) ).

fof(f18003,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),subset_relation)
        | member(X0,universal_class) )
    | ~ spl0_305
    | ~ spl0_594 ),
    inference(superposition,[],[f3475,f11496]) ).

fof(f39744,plain,
    ( spl0_1129
    | ~ spl0_304
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18002,f11495,f3470,f39742]) ).

fof(f39742,plain,
    ( spl0_1129
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),subset_relation)
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1129])]) ).

fof(f3470,plain,
    ( spl0_304
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f18002,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),subset_relation)
        | member(X0,universal_class) )
    | ~ spl0_304
    | ~ spl0_594 ),
    inference(superposition,[],[f3471,f11496]) ).

fof(f3471,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X0,universal_class) )
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f3470]) ).

fof(f39740,plain,
    ( spl0_1128
    | ~ spl0_225
    | ~ spl0_672 ),
    inference(avatar_split_clause,[],[f15254,f15215,f2321,f39738]) ).

fof(f39738,plain,
    ( spl0_1128
  <=> ! [X0] :
        ( subclass(identity_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(identity_relation,intersection(X0,null_class)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1128])]) ).

fof(f15254,plain,
    ( ! [X0] :
        ( subclass(identity_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(identity_relation,intersection(X0,null_class)),X0) )
    | ~ spl0_225
    | ~ spl0_672 ),
    inference(duplicate_literal_removal,[],[f15218]) ).

fof(f15218,plain,
    ( ! [X0] :
        ( subclass(identity_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(identity_relation,intersection(X0,null_class)),X0)
        | subclass(identity_relation,intersection(X0,null_class)) )
    | ~ spl0_225
    | ~ spl0_672 ),
    inference(resolution,[],[f15216,f2322]) ).

fof(f39735,plain,
    ( ~ spl0_1127
    | ~ spl0_97
    | spl0_607 ),
    inference(avatar_split_clause,[],[f11785,f11781,f723,f39732]) ).

fof(f11785,plain,
    ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),subset_relation)
    | ~ spl0_97
    | spl0_607 ),
    inference(resolution,[],[f11783,f724]) ).

fof(f39728,plain,
    ( spl0_1126
    | ~ spl0_139
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7127,f7108,f1205,f39726]) ).

fof(f39726,plain,
    ( spl0_1126
  <=> ! [X0] :
        ( subclass(subset_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1126])]) ).

fof(f1205,plain,
    ( spl0_139
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
        | ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f7108,plain,
    ( spl0_414
  <=> ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),null_class)
        | subclass(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f7127,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0) )
    | ~ spl0_139
    | ~ spl0_414 ),
    inference(duplicate_literal_removal,[],[f7113]) ).

fof(f7113,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(X0,null_class))
        | ~ member(not_subclass_element(subset_relation,intersection(X0,null_class)),X0)
        | subclass(subset_relation,intersection(X0,null_class)) )
    | ~ spl0_139
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f1206]) ).

fof(f1206,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
        | ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f7109,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),null_class)
        | subclass(subset_relation,X0) )
    | ~ spl0_414 ),
    inference(avatar_component_clause,[],[f7108]) ).

fof(f39724,plain,
    ( spl0_1125
    | ~ spl0_33
    | ~ spl0_1058 ),
    inference(avatar_split_clause,[],[f32014,f31973,f318,f39722]) ).

fof(f39722,plain,
    ( spl0_1125
  <=> ! [X0] :
        ( ~ subclass(u,X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1125])]) ).

fof(f31973,plain,
    ( spl0_1058
  <=> member(u,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).

fof(f32014,plain,
    ( ! [X0] :
        ( ~ subclass(u,X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_1058 ),
    inference(resolution,[],[f31975,f319]) ).

fof(f31975,plain,
    ( member(u,u)
    | ~ spl0_1058 ),
    inference(avatar_component_clause,[],[f31973]) ).

fof(f39720,plain,
    ( spl0_1124
    | ~ spl0_34
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(avatar_split_clause,[],[f37036,f31729,f31141,f25216,f322,f39718]) ).

fof(f39718,plain,
    ( spl0_1124
  <=> ! [X0] :
        ( subset_relation = X0
        | ~ subclass(subset_relation,X0)
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1124])]) ).

fof(f322,plain,
    ( spl0_34
  <=> ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | ~ subclass(X1,X0)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f31729,plain,
    ( spl0_1040
  <=> ! [X0] :
        ( subclass(X0,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).

fof(f37036,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ subclass(subset_relation,X0)
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) )
    | ~ spl0_34
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(forward_demodulation,[],[f37035,f31727]) ).

fof(f31727,plain,
    ( subset_relation = intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_937
    | spl0_1035 ),
    inference(resolution,[],[f31142,f25217]) ).

fof(f37035,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))) = X0 )
    | ~ spl0_34
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(forward_demodulation,[],[f36980,f31727]) ).

fof(f36980,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | ~ subclass(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))),X0)
        | intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))) = X0 )
    | ~ spl0_34
    | ~ spl0_1040 ),
    inference(resolution,[],[f31730,f323]) ).

fof(f323,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X1,X0)
        | ~ subclass(X0,X1)
        | X0 = X1 )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f31730,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) )
    | ~ spl0_1040 ),
    inference(avatar_component_clause,[],[f31729]) ).

fof(f39234,plain,
    ( ~ spl0_1122
    | spl0_1123
    | ~ spl0_235
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(avatar_split_clause,[],[f37072,f31729,f31141,f25216,f2367,f39232,f39228]) ).

fof(f39228,plain,
    ( spl0_1122
  <=> member(not_subclass_element(complement(subset_relation),subset_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1122])]) ).

fof(f39232,plain,
    ( spl0_1123
  <=> ! [X0] : subclass(complement(subset_relation),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1123])]) ).

fof(f37072,plain,
    ( ! [X0] :
        ( subclass(complement(subset_relation),X0)
        | ~ member(not_subclass_element(complement(subset_relation),subset_relation),subset_relation) )
    | ~ spl0_235
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(forward_demodulation,[],[f37071,f31727]) ).

fof(f37071,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(subset_relation),subset_relation),subset_relation)
        | subclass(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0) )
    | ~ spl0_235
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(forward_demodulation,[],[f37009,f31727]) ).

fof(f37009,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),subset_relation),subset_relation)
        | subclass(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0) )
    | ~ spl0_235
    | ~ spl0_1040 ),
    inference(resolution,[],[f31730,f2368]) ).

fof(f39221,plain,
    ( ~ spl0_737
    | ~ spl0_1068
    | spl0_1086 ),
    inference(avatar_split_clause,[],[f39109,f36607,f32207,f17299]) ).

fof(f39109,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | ~ spl0_1068
    | spl0_1086 ),
    inference(resolution,[],[f32208,f36609]) ).

fof(f32208,plain,
    ( ! [X0] :
        ( member(regular(subset_relation),X0)
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_1068 ),
    inference(avatar_component_clause,[],[f32207]) ).

fof(f39220,plain,
    ( ~ spl0_1121
    | spl0_595
    | ~ spl0_762
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(avatar_split_clause,[],[f37043,f31729,f31141,f25216,f18218,f11502,f39217]) ).

fof(f39217,plain,
    ( spl0_1121
  <=> member(not_subclass_element(universal_class,subset_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1121])]) ).

fof(f18218,plain,
    ( spl0_762
  <=> ! [X0] :
        ( member(subset_relation,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).

fof(f37043,plain,
    ( member(subset_relation,subset_relation)
    | ~ member(not_subclass_element(universal_class,subset_relation),subset_relation)
    | ~ spl0_762
    | ~ spl0_937
    | spl0_1035
    | ~ spl0_1040 ),
    inference(forward_demodulation,[],[f36991,f31727]) ).

fof(f36991,plain,
    ( ~ member(not_subclass_element(universal_class,subset_relation),subset_relation)
    | member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_762
    | ~ spl0_1040 ),
    inference(resolution,[],[f31730,f18219]) ).

fof(f18219,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(subset_relation,X0) )
    | ~ spl0_762 ),
    inference(avatar_component_clause,[],[f18218]) ).

fof(f39207,plain,
    ( spl0_1120
    | ~ spl0_242
    | ~ spl0_545 ),
    inference(avatar_split_clause,[],[f34828,f10601,f2438,f39205]) ).

fof(f39205,plain,
    ( spl0_1120
  <=> ! [X0] :
        ( subset_relation = X0
        | member(regular(subset_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1120])]) ).

fof(f10601,plain,
    ( spl0_545
  <=> ! [X0] :
        ( member(regular(subset_relation),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f34828,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | member(regular(subset_relation),X0) )
    | ~ spl0_242
    | ~ spl0_545 ),
    inference(forward_demodulation,[],[f10602,f2440]) ).

fof(f10602,plain,
    ( ! [X0] :
        ( member(regular(subset_relation),X0)
        | null_class = X0 )
    | ~ spl0_545 ),
    inference(avatar_component_clause,[],[f10601]) ).

fof(f39104,plain,
    ( spl0_1068
    | ~ spl0_242
    | ~ spl0_651 ),
    inference(avatar_split_clause,[],[f34827,f14419,f2438,f32207]) ).

fof(f14419,plain,
    ( spl0_651
  <=> ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(regular(subset_relation),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f34827,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(regular(subset_relation),X0) )
    | ~ spl0_242
    | ~ spl0_651 ),
    inference(forward_demodulation,[],[f14420,f2440]) ).

fof(f14420,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(regular(subset_relation),X0) )
    | ~ spl0_651 ),
    inference(avatar_component_clause,[],[f14419]) ).

fof(f38867,plain,
    ( spl0_1119
    | ~ spl0_242
    | ~ spl0_985 ),
    inference(avatar_split_clause,[],[f36588,f29153,f2438,f38865]) ).

fof(f38865,plain,
    ( spl0_1119
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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))),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)))),universal_class),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(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1119])]) ).

fof(f29153,plain,
    ( spl0_985
  <=> ! [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(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).

fof(f36588,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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))),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)))),universal_class),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(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) )
    | ~ spl0_242
    | ~ spl0_985 ),
    inference(forward_demodulation,[],[f29154,f2440]) ).

fof(f29154,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))),universal_class)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(domain_of(X3)))
        | null_class = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3) )
    | ~ spl0_985 ),
    inference(avatar_component_clause,[],[f29153]) ).

fof(f38863,plain,
    ( spl0_1118
    | ~ spl0_242
    | ~ spl0_980 ),
    inference(avatar_split_clause,[],[f36572,f28911,f2438,f38861]) ).

fof(f38861,plain,
    ( spl0_1118
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),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))),rotate(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1118])]) ).

fof(f28911,plain,
    ( spl0_980
  <=> ! [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))),rotate(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).

fof(f36572,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),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))),rotate(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) )
    | ~ spl0_242
    | ~ spl0_980 ),
    inference(forward_demodulation,[],[f28912,f2440]) ).

fof(f28912,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(X0,X0))),universal_class)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),rotate(domain_of(X3)))
        | null_class = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3) )
    | ~ spl0_980 ),
    inference(avatar_component_clause,[],[f28911]) ).

fof(f38833,plain,
    ( spl0_1117
    | ~ spl0_242
    | ~ spl0_978 ),
    inference(avatar_split_clause,[],[f36571,f28871,f2438,f38831]) ).

fof(f38831,plain,
    ( spl0_1117
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1117])]) ).

fof(f28871,plain,
    ( spl0_978
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).

fof(f36571,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_978 ),
    inference(forward_demodulation,[],[f28872,f2440]) ).

fof(f28872,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_978 ),
    inference(avatar_component_clause,[],[f28871]) ).

fof(f38626,plain,
    ( ~ spl0_1116
    | ~ spl0_237
    | ~ spl0_797 ),
    inference(avatar_split_clause,[],[f36621,f18997,f2400,f38623]) ).

fof(f38623,plain,
    ( spl0_1116
  <=> subclass(universal_class,complement(cross_product(universal_class,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1116])]) ).

fof(f36621,plain,
    ( ~ subclass(universal_class,complement(cross_product(universal_class,universal_class)))
    | ~ spl0_237
    | ~ spl0_797 ),
    inference(resolution,[],[f18998,f2401]) ).

fof(f38313,plain,
    ( spl0_1115
    | ~ spl0_242
    | ~ spl0_945 ),
    inference(avatar_split_clause,[],[f34909,f25775,f2438,f38311]) ).

fof(f38311,plain,
    ( spl0_1115
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1115])]) ).

fof(f25775,plain,
    ( spl0_945
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).

fof(f34909,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) )
    | ~ spl0_242
    | ~ spl0_945 ),
    inference(forward_demodulation,[],[f25776,f2440]) ).

fof(f25776,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_945 ),
    inference(avatar_component_clause,[],[f25775]) ).

fof(f38277,plain,
    ( spl0_1114
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(avatar_split_clause,[],[f36105,f29968,f19719,f2438,f1257,f38275]) ).

fof(f38275,plain,
    ( spl0_1114
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1114])]) ).

fof(f29968,plain,
    ( spl0_1023
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).

fof(f36105,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36104,f2440]) ).

fof(f36104,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36103,f32426]) ).

fof(f36103,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36102,f2440]) ).

fof(f36102,plain,
    ( ! [X2,X3,X0,X1] :
        ( homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36101,f32426]) ).

fof(f36101,plain,
    ( ! [X2,X3,X0,X1] :
        ( homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36100,f2440]) ).

fof(f36100,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36099,f32426]) ).

fof(f36099,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36098,f2440]) ).

fof(f36098,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36097,f32426]) ).

fof(f36097,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36096,f2440]) ).

fof(f36096,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f36095,f32426]) ).

fof(f36095,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29969,f2440]) ).

fof(f29969,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_1023 ),
    inference(avatar_component_clause,[],[f29968]) ).

fof(f37971,plain,
    ( spl0_1113
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1010 ),
    inference(avatar_split_clause,[],[f36119,f29689,f23112,f2438,f37969]) ).

fof(f37969,plain,
    ( spl0_1113
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1113])]) ).

fof(f36119,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29693,f23114]) ).

fof(f29693,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29692,f23114]) ).

fof(f29692,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29690,f2440]) ).

fof(f37967,plain,
    ( spl0_1112
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1012 ),
    inference(avatar_split_clause,[],[f36116,f29764,f23112,f2438,f37965]) ).

fof(f37965,plain,
    ( spl0_1112
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1112])]) ).

fof(f36116,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29768,f23114]) ).

fof(f29768,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29767,f23114]) ).

fof(f29767,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29765,f2440]) ).

fof(f37963,plain,
    ( spl0_1111
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1014 ),
    inference(avatar_split_clause,[],[f36113,f29838,f23112,f2438,f37961]) ).

fof(f37961,plain,
    ( spl0_1111
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1111])]) ).

fof(f29838,plain,
    ( spl0_1014
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).

fof(f36113,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1014 ),
    inference(forward_demodulation,[],[f36112,f2440]) ).

fof(f36112,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_906
    | ~ spl0_1014 ),
    inference(forward_demodulation,[],[f29841,f23114]) ).

fof(f29841,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_906
    | ~ spl0_1014 ),
    inference(forward_demodulation,[],[f29839,f23114]) ).

fof(f29839,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_1014 ),
    inference(avatar_component_clause,[],[f29838]) ).

fof(f37959,plain,
    ( spl0_1110
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1015 ),
    inference(avatar_split_clause,[],[f36111,f29849,f23112,f2438,f37957]) ).

fof(f37957,plain,
    ( spl0_1110
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1110])]) ).

fof(f29849,plain,
    ( spl0_1015
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).

fof(f36111,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1015 ),
    inference(forward_demodulation,[],[f36110,f2440]) ).

fof(f36110,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_906
    | ~ spl0_1015 ),
    inference(forward_demodulation,[],[f29852,f23114]) ).

fof(f29852,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_906
    | ~ spl0_1015 ),
    inference(forward_demodulation,[],[f29850,f23114]) ).

fof(f29850,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_1015 ),
    inference(avatar_component_clause,[],[f29849]) ).

fof(f37955,plain,
    ( spl0_1109
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1016 ),
    inference(avatar_split_clause,[],[f36109,f29857,f23112,f2438,f37953]) ).

fof(f37953,plain,
    ( spl0_1109
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1109])]) ).

fof(f29857,plain,
    ( spl0_1016
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).

fof(f36109,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1016 ),
    inference(forward_demodulation,[],[f36108,f2440]) ).

fof(f36108,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) )
    | ~ spl0_906
    | ~ spl0_1016 ),
    inference(forward_demodulation,[],[f29860,f23114]) ).

fof(f29860,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) )
    | ~ spl0_906
    | ~ spl0_1016 ),
    inference(forward_demodulation,[],[f29858,f23114]) ).

fof(f29858,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) )
    | ~ spl0_1016 ),
    inference(avatar_component_clause,[],[f29857]) ).

fof(f37951,plain,
    ( spl0_1108
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1017 ),
    inference(avatar_split_clause,[],[f36107,f29865,f23112,f2438,f37949]) ).

fof(f37949,plain,
    ( spl0_1108
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1108])]) ).

fof(f29865,plain,
    ( spl0_1017
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).

fof(f36107,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1017 ),
    inference(forward_demodulation,[],[f36106,f2440]) ).

fof(f36106,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) )
    | ~ spl0_906
    | ~ spl0_1017 ),
    inference(forward_demodulation,[],[f29868,f23114]) ).

fof(f29868,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) )
    | ~ spl0_906
    | ~ spl0_1017 ),
    inference(forward_demodulation,[],[f29866,f23114]) ).

fof(f29866,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) )
    | ~ spl0_1017 ),
    inference(avatar_component_clause,[],[f29865]) ).

fof(f37787,plain,
    ( spl0_1107
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1003 ),
    inference(avatar_split_clause,[],[f36124,f29600,f23112,f2438,f37785]) ).

fof(f37785,plain,
    ( spl0_1107
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1107])]) ).

fof(f29600,plain,
    ( spl0_1003
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).

fof(f36124,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1003 ),
    inference(forward_demodulation,[],[f36123,f2440]) ).

fof(f36123,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_906
    | ~ spl0_1003 ),
    inference(forward_demodulation,[],[f29603,f23114]) ).

fof(f29603,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_906
    | ~ spl0_1003 ),
    inference(forward_demodulation,[],[f29601,f23114]) ).

fof(f29601,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_1003 ),
    inference(avatar_component_clause,[],[f29600]) ).

fof(f37783,plain,
    ( spl0_1106
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1004 ),
    inference(avatar_split_clause,[],[f36122,f29608,f23112,f2438,f37781]) ).

fof(f37781,plain,
    ( spl0_1106
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1106])]) ).

fof(f29608,plain,
    ( spl0_1004
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).

fof(f36122,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1004 ),
    inference(forward_demodulation,[],[f36121,f2440]) ).

fof(f36121,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_906
    | ~ spl0_1004 ),
    inference(forward_demodulation,[],[f29611,f23114]) ).

fof(f29611,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_906
    | ~ spl0_1004 ),
    inference(forward_demodulation,[],[f29609,f23114]) ).

fof(f29609,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_1004 ),
    inference(avatar_component_clause,[],[f29608]) ).

fof(f37779,plain,
    ( spl0_1105
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f36514,f23112,f2438,f1276,f627,f37777]) ).

fof(f37777,plain,
    ( spl0_1105
  <=> ! [X2,X0,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1105])]) ).

fof(f36514,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_242
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36513,f23114]) ).

fof(f36513,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(subset_relation),first(subset_relation)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f36512,f2440]) ).

fof(f36512,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | ~ homomorphism(X1,X0,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f4811,f2440]) ).

fof(f37775,plain,
    ( spl0_1104
    | ~ spl0_242
    | ~ spl0_703
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f36442,f23112,f16347,f2438,f37773]) ).

fof(f37773,plain,
    ( spl0_1104
  <=> ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1104])]) ).

fof(f36442,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(subset_relation,domain_of(X0))
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_242
    | ~ spl0_703
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36441,f2440]) ).

fof(f36441,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_242
    | ~ spl0_703
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36440,f23114]) ).

fof(f36440,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(subset_relation,subset_relation),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(subset_relation),second(subset_relation)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_242
    | ~ spl0_703 ),
    inference(forward_demodulation,[],[f16348,f2440]) ).

fof(f37741,plain,
    ( spl0_1103
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(avatar_split_clause,[],[f36139,f29453,f23112,f19719,f2438,f1257,f37739]) ).

fof(f37739,plain,
    ( spl0_1103
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1103])]) ).

fof(f36139,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36138,f2440]) ).

fof(f36138,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36137,f32426]) ).

fof(f36137,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36136,f2440]) ).

fof(f36136,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36135,f32426]) ).

fof(f36135,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36134,f2440]) ).

fof(f36134,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36133,f23114]) ).

fof(f36133,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36132,f32426]) ).

fof(f36132,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36131,f2440]) ).

fof(f36131,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_906
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36130,f23114]) ).

fof(f36130,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f36129,f32426]) ).

fof(f36129,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29454,f2440]) ).

fof(f37577,plain,
    ( spl0_1102
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_987 ),
    inference(avatar_split_clause,[],[f36594,f29232,f19719,f2438,f1257,f37575]) ).

fof(f37575,plain,
    ( spl0_1102
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)
        | ~ member(X2,subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1102])]) ).

fof(f29232,plain,
    ( spl0_987
  <=> ! [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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).

fof(f36594,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)
        | ~ member(X2,subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f36593,f2440]) ).

fof(f36593,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f36592,f32426]) ).

fof(f36592,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29233,f2440]) ).

fof(f29233,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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_987 ),
    inference(avatar_component_clause,[],[f29232]) ).

fof(f37573,plain,
    ( spl0_1101
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_982 ),
    inference(avatar_split_clause,[],[f36579,f28993,f19719,f2438,f1257,f37571]) ).

fof(f37571,plain,
    ( spl0_1101
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1101])]) ).

fof(f28993,plain,
    ( spl0_982
  <=> ! [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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).

fof(f36579,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)
        | ~ member(X0,subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f36578,f2440]) ).

fof(f36578,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f36577,f32426]) ).

fof(f36577,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28994,f2440]) ).

fof(f28994,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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_982 ),
    inference(avatar_component_clause,[],[f28993]) ).

fof(f37425,plain,
    ( spl0_1100
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_958 ),
    inference(avatar_split_clause,[],[f34875,f26329,f19719,f2438,f1257,f37423]) ).

fof(f37423,plain,
    ( spl0_1100
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1100])]) ).

fof(f26329,plain,
    ( spl0_958
  <=> ! [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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).

fof(f34875,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f34874,f2440]) ).

fof(f34874,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f34873,f32426]) ).

fof(f34873,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26330,f2440]) ).

fof(f26330,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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_958 ),
    inference(avatar_component_clause,[],[f26329]) ).

fof(f37421,plain,
    ( spl0_1099
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_956 ),
    inference(avatar_split_clause,[],[f34872,f26174,f19719,f2438,f1257,f37419]) ).

fof(f37419,plain,
    ( spl0_1099
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1099])]) ).

fof(f26174,plain,
    ( spl0_956
  <=> ! [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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).

fof(f34872,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f34871,f2440]) ).

fof(f34871,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f34870,f32426]) ).

fof(f34870,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26175,f2440]) ).

fof(f26175,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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_956 ),
    inference(avatar_component_clause,[],[f26174]) ).

fof(f37416,plain,
    ( spl0_1098
    | ~ spl0_879
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f30464,f23112,f21720,f37414]) ).

fof(f37414,plain,
    ( spl0_1098
  <=> ! [X2,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))),rotate(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1098])]) ).

fof(f30464,plain,
    ( ! [X2,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))),rotate(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) )
    | ~ spl0_879
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f21721,f23114]) ).

fof(f37411,plain,
    ( spl0_1097
    | ~ spl0_880
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f30461,f23112,f21726,f37409]) ).

fof(f37409,plain,
    ( spl0_1097
  <=> ! [X2,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(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1097])]) ).

fof(f30461,plain,
    ( ! [X2,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(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) )
    | ~ spl0_880
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f21727,f23114]) ).

fof(f37344,plain,
    ( spl0_1096
    | ~ spl0_851
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f30467,f23112,f21098,f37342]) ).

fof(f37342,plain,
    ( spl0_1096
  <=> ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1096])]) ).

fof(f21098,plain,
    ( spl0_851
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).

fof(f30467,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_851
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f21099,f23114]) ).

fof(f21099,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),cross_product(universal_class,universal_class))
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ compatible(X0,X1,X2) )
    | ~ spl0_851 ),
    inference(avatar_component_clause,[],[f21098]) ).

fof(f37327,plain,
    ( spl0_1095
    | ~ spl0_242
    | ~ spl0_701
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f36680,f23112,f16303,f2438,f37325]) ).

fof(f37325,plain,
    ( spl0_1095
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
        | member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | subset_relation = X0
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1095])]) ).

fof(f36680,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
        | member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | subset_relation = X0
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_701
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36679,f23114]) ).

fof(f36679,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | subset_relation = X0
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_701
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f30508,f23114]) ).

fof(f30508,plain,
    ( ! [X0] :
        ( ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | subset_relation = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_701
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f16306,f23114]) ).

fof(f37288,plain,
    ( spl0_1094
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_858 ),
    inference(avatar_split_clause,[],[f35021,f21176,f19719,f2438,f1257,f37286]) ).

fof(f37286,plain,
    ( spl0_1094
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1094])]) ).

fof(f35021,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f33083,f32426]) ).

fof(f33083,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f21177,f32426]) ).

fof(f37281,plain,
    ( spl0_1093
    | ~ spl0_671
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f36684,f23112,f15208,f37279]) ).

fof(f37279,plain,
    ( spl0_1093
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1093])]) ).

fof(f36684,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1) )
    | ~ spl0_671
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f36683,f23114]) ).

fof(f36683,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_671
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f30538,f23114]) ).

fof(f30538,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_671
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f15209,f23114]) ).

fof(f37276,plain,
    ( ~ spl0_1092
    | spl0_753
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f30491,f23112,f17751,f37273]) ).

fof(f30491,plain,
    ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation)
    | spl0_753
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f17753,f23114]) ).

fof(f37261,plain,
    ( spl0_1091
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f31337,f23112,f10849,f5770,f4931,f2438,f2341,f37259]) ).

fof(f37259,plain,
    ( spl0_1091
  <=> ! [X0] :
        ( subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0)
        | ~ member(not_subclass_element(complement(subset_relation),X0),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1091])]) ).

fof(f4931,plain,
    ( spl0_367
  <=> element_relation = null_class ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f10849,plain,
    ( spl0_558
  <=> ! [X0] :
        ( ~ member(not_subclass_element(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f31337,plain,
    ( ! [X0] :
        ( subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0)
        | ~ member(not_subclass_element(complement(subset_relation),X0),subset_relation) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f22441,f23114]) ).

fof(f22441,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(subset_relation),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f22440,f2440]) ).

fof(f22440,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(null_class),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f10852,f5775]) ).

fof(f10852,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_367
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f10850,f4933]) ).

fof(f4933,plain,
    ( element_relation = null_class
    | ~ spl0_367 ),
    inference(avatar_component_clause,[],[f4931]) ).

fof(f10850,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_558 ),
    inference(avatar_component_clause,[],[f10849]) ).

fof(f37095,plain,
    ( spl0_1090
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f31276,f23112,f10662,f5770,f4931,f2438,f2341,f37093]) ).

fof(f31276,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f24395,f23114]) ).

fof(f24395,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f24394,f2440]) ).

fof(f24394,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f10665,f5775]) ).

fof(f10665,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_367
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f10663,f4933]) ).

fof(f36967,plain,
    ( ~ spl0_1089
    | spl0_403
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f34834,f23112,f6844,f36964]) ).

fof(f36964,plain,
    ( spl0_1089
  <=> member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1089])]) ).

fof(f34834,plain,
    ( ~ member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_403
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f6845,f23114]) ).

fof(f6845,plain,
    ( ~ member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | spl0_403 ),
    inference(avatar_component_clause,[],[f6844]) ).

fof(f36961,plain,
    ( ~ spl0_1088
    | spl0_754
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f30493,f23112,f17755,f36958]) ).

fof(f36958,plain,
    ( spl0_1088
  <=> member(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1088])]) ).

fof(f30493,plain,
    ( ~ member(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),universal_class)
    | spl0_754
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f17757,f23114]) ).

fof(f36635,plain,
    ( ~ spl0_104
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_906
    | spl0_1087 ),
    inference(avatar_split_clause,[],[f36634,f36630,f23112,f5760,f2438,f2341,f810]) ).

fof(f36633,plain,
    ( ~ spl0_1087
    | spl0_596
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f34830,f23112,f11569,f36630]) ).

fof(f34830,plain,
    ( ~ member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_596
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f11570,f23114]) ).

fof(f36610,plain,
    ( ~ spl0_1086
    | ~ spl0_242
    | spl0_404 ),
    inference(avatar_split_clause,[],[f34833,f6851,f2438,f36607]) ).

fof(f34833,plain,
    ( ~ member(regular(subset_relation),subset_relation)
    | ~ spl0_242
    | spl0_404 ),
    inference(forward_demodulation,[],[f6852,f2440]) ).

fof(f36537,plain,
    ( spl0_595
    | ~ spl0_107
    | ~ spl0_593
    | ~ spl0_906 ),
    inference(avatar_split_clause,[],[f36443,f23112,f11490,f830,f11502]) ).

fof(f36443,plain,
    ( member(subset_relation,subset_relation)
    | ~ spl0_107
    | ~ spl0_593
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f11491,f36143]) ).

fof(f36143,plain,
    ( cross_product(universal_class,universal_class) = subset_relation
    | ~ spl0_107
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f832,f23114]) ).

fof(f34837,plain,
    ( ~ spl0_104
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | spl0_596
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f34832,f28280,f23112,f11569,f5770,f2438,f2341,f810]) ).

fof(f34832,plain,
    ( ~ member(u,subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | spl0_596
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f34831,f31473]) ).

fof(f31473,plain,
    ( subset_relation = intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31472,f28282]) ).

fof(f34831,plain,
    ( ~ member(u,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | spl0_596
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f34830,f28282]) ).

fof(f34800,plain,
    ( spl0_1085
    | ~ spl0_906
    | ~ spl0_1069 ),
    inference(avatar_split_clause,[],[f32247,f32243,f23112,f34797]) ).

fof(f32247,plain,
    ( member(u,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))
    | ~ spl0_906
    | ~ spl0_1069 ),
    inference(forward_demodulation,[],[f32245,f23114]) ).

fof(f34795,plain,
    ( spl0_1084
    | ~ spl0_242
    | ~ spl0_1065 ),
    inference(avatar_split_clause,[],[f32195,f32192,f2438,f34793]) ).

fof(f32195,plain,
    ( ! [X0,X1] :
        ( subset_relation = X1
        | subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1) )
    | ~ spl0_242
    | ~ spl0_1065 ),
    inference(forward_demodulation,[],[f32193,f2440]) ).

fof(f34245,plain,
    ( spl0_1083
    | ~ spl0_950
    | ~ spl0_955
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33711,f28280,f26166,f26075,f34243]) ).

fof(f34243,plain,
    ( spl0_1083
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4)))),compose(X2,X3))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1083])]) ).

fof(f26075,plain,
    ( spl0_950
  <=> universal_class = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).

fof(f26166,plain,
    ( spl0_955
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).

fof(f33711,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4)))),compose(X2,X3))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) )
    | ~ spl0_950
    | ~ spl0_955
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f26169,f28282]) ).

fof(f26169,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X3),subset_relation)))),subset_relation)),subset_relation))))),X4)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) )
    | ~ spl0_950
    | ~ spl0_955 ),
    inference(forward_demodulation,[],[f26167,f26077]) ).

fof(f26077,plain,
    ( universal_class = subset_relation
    | ~ spl0_950 ),
    inference(avatar_component_clause,[],[f26075]) ).

fof(f26167,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),compose(X2,X3))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) )
    | ~ spl0_955 ),
    inference(avatar_component_clause,[],[f26166]) ).

fof(f33975,plain,
    ( spl0_1082
    | ~ spl0_950
    | ~ spl0_1080 ),
    inference(avatar_split_clause,[],[f33967,f33963,f26075,f33973]) ).

fof(f33973,plain,
    ( spl0_1082
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,subset_relation),X3),subset_relation)))))
        | subset_relation = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1082])]) ).

fof(f33963,plain,
    ( spl0_1080
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).

fof(f33967,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,subset_relation),X3),subset_relation)))))
        | subset_relation = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_950
    | ~ spl0_1080 ),
    inference(forward_demodulation,[],[f33966,f26077]) ).

fof(f33966,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_950
    | ~ spl0_1080 ),
    inference(forward_demodulation,[],[f33964,f26077]) ).

fof(f33964,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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | subset_relation = cross_product(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)))),universal_class) )
    | ~ spl0_1080 ),
    inference(avatar_component_clause,[],[f33963]) ).

fof(f33971,plain,
    ( spl0_1081
    | ~ spl0_950
    | ~ spl0_1079 ),
    inference(avatar_split_clause,[],[f33961,f33957,f26075,f33969]) ).

fof(f33969,plain,
    ( spl0_1081
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,subset_relation),X3),subset_relation)))))
        | subset_relation = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1081])]) ).

fof(f33957,plain,
    ( spl0_1079
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).

fof(f33961,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,subset_relation),X3),subset_relation)))))
        | subset_relation = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_950
    | ~ spl0_1079 ),
    inference(forward_demodulation,[],[f33960,f26077]) ).

fof(f33960,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_950
    | ~ spl0_1079 ),
    inference(forward_demodulation,[],[f33958,f26077]) ).

fof(f33958,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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | subset_relation = cross_product(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)))),universal_class) )
    | ~ spl0_1079 ),
    inference(avatar_component_clause,[],[f33957]) ).

fof(f33965,plain,
    ( spl0_1080
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33710,f28280,f26174,f26075,f19719,f2438,f1257,f33963]) ).

fof(f33710,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33709,f2440]) ).

fof(f33709,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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33708,f28282]) ).

fof(f33708,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33707,f32426]) ).

fof(f33707,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33706,f2440]) ).

fof(f33706,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_956
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f26178,f28282]) ).

fof(f26178,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26177,f26077]) ).

fof(f26177,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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26175,f26077]) ).

fof(f33959,plain,
    ( spl0_1079
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33689,f28280,f26329,f26075,f19719,f2438,f1257,f33957]) ).

fof(f33689,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33688,f2440]) ).

fof(f33688,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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33687,f28282]) ).

fof(f33687,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33686,f32426]) ).

fof(f33686,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33685,f2440]) ).

fof(f33685,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_958
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f26333,f28282]) ).

fof(f26333,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26332,f26077]) ).

fof(f26332,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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26330,f26077]) ).

fof(f33292,plain,
    ( spl0_1055
    | ~ spl0_797
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33290,f28280,f18997,f31959]) ).

fof(f31959,plain,
    ( spl0_1055
  <=> member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).

fof(f33290,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),subset_relation)
    | ~ spl0_797
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f18998,f28282]) ).

fof(f33291,plain,
    ( spl0_104
    | ~ spl0_6
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1972,f1618,f194,f810]) ).

fof(f1972,plain,
    ( member(u,subset_relation)
    | ~ spl0_6
    | ~ spl0_174 ),
    inference(resolution,[],[f1619,f195]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(u,X0) )
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f33276,plain,
    ( ~ spl0_1
    | ~ spl0_507
    | ~ spl0_774
    | spl0_797 ),
    inference(avatar_split_clause,[],[f19004,f18997,f18330,f9868,f170]) ).

fof(f18330,plain,
    ( spl0_774
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | ~ member(X0,X2)
        | ~ member(u,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).

fof(f19004,plain,
    ( ~ member(subset_relation,universal_class)
    | ~ member(u,universal_class)
    | ~ spl0_774
    | spl0_797 ),
    inference(resolution,[],[f18999,f18331]) ).

fof(f18331,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | ~ member(X0,X2)
        | ~ member(u,X1) )
    | ~ spl0_774 ),
    inference(avatar_component_clause,[],[f18330]) ).

fof(f18999,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
    | spl0_797 ),
    inference(avatar_component_clause,[],[f18997]) ).

fof(f33265,plain,
    ( spl0_1078
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_843
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f32427,f28280,f20723,f19719,f2438,f1257,f33263]) ).

fof(f33263,plain,
    ( spl0_1078
  <=> ! [X2,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),subset_relation)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).

fof(f20723,plain,
    ( spl0_843
  <=> ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).

fof(f32427,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),subset_relation)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)))) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_843
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f20726,f28282]) ).

fof(f20726,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_843 ),
    inference(forward_demodulation,[],[f20724,f19738]) ).

fof(f19738,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812 ),
    inference(forward_demodulation,[],[f19733,f2440]) ).

fof(f20724,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = subset_relation
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_843 ),
    inference(avatar_component_clause,[],[f20723]) ).

fof(f33238,plain,
    ( spl0_1077
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f33091,f28280,f21176,f19719,f10109,f3977,f2438,f1257,f33236]) ).

fof(f33236,plain,
    ( spl0_1077
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).

fof(f10109,plain,
    ( spl0_518
  <=> u = regular(subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f33091,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33090,f2440]) ).

fof(f33090,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33089,f3979]) ).

fof(f33089,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33088,f10111]) ).

fof(f10111,plain,
    ( u = regular(subset_relation)
    | ~ spl0_518 ),
    inference(avatar_component_clause,[],[f10109]) ).

fof(f33088,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(subset_relation),regular(subset_relation)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33087,f32426]) ).

fof(f33087,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f33086,f28282]) ).

fof(f33086,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f33085,f2440]) ).

fof(f33085,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_325
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f33084,f3979]) ).

fof(f33084,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | ~ spl0_518
    | spl0_812
    | ~ spl0_858 ),
    inference(forward_demodulation,[],[f33083,f10111]) ).

fof(f33234,plain,
    ( spl0_1076
    | ~ spl0_116
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1625,f1401,f899,f33232]) ).

fof(f33232,plain,
    ( spl0_1076
  <=> ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).

fof(f1625,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class) )
    | ~ spl0_116
    | ~ spl0_160 ),
    inference(duplicate_literal_removal,[],[f1624]) ).

fof(f1624,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class)
        | subclass(X1,domain_of(X0)) )
    | ~ spl0_116
    | ~ spl0_160 ),
    inference(resolution,[],[f1402,f900]) ).

fof(f32423,plain,
    ( spl0_1075
    | ~ spl0_178
    | ~ spl0_857
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f32320,f28280,f21171,f1746,f32421]) ).

fof(f32421,plain,
    ( spl0_1075
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).

fof(f21171,plain,
    ( spl0_857
  <=> subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).

fof(f32320,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class)))) )
    | ~ spl0_178
    | ~ spl0_857
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f32319,f28282]) ).

fof(f32319,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_178
    | ~ spl0_857 ),
    inference(forward_demodulation,[],[f1747,f21172]) ).

fof(f21172,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_857 ),
    inference(avatar_component_clause,[],[f21171]) ).

fof(f32413,plain,
    ( spl0_104
    | ~ spl0_243
    | ~ spl0_518
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f32241,f28280,f10109,f2442,f810]) ).

fof(f32241,plain,
    ( member(u,subset_relation)
    | ~ spl0_243
    | ~ spl0_518
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f32240,f10111]) ).

fof(f32240,plain,
    ( member(regular(subset_relation),subset_relation)
    | ~ spl0_243
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f2444,f28282]) ).

fof(f32312,plain,
    ( ~ spl0_104
    | spl0_812
    | ~ spl0_857 ),
    inference(avatar_split_clause,[],[f32311,f21171,f19719,f810]) ).

fof(f32311,plain,
    ( ~ member(u,subset_relation)
    | spl0_812
    | ~ spl0_857 ),
    inference(forward_demodulation,[],[f19721,f21172]) ).

fof(f32267,plain,
    ( spl0_1074
    | ~ spl0_33
    | ~ spl0_812 ),
    inference(avatar_split_clause,[],[f20761,f19719,f318,f32265]) ).

fof(f32265,plain,
    ( spl0_1074
  <=> ! [X0] :
        ( ~ subclass(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).

fof(f20761,plain,
    ( ! [X0] :
        ( ~ subclass(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_812 ),
    inference(resolution,[],[f19720,f319]) ).

fof(f19720,plain,
    ( member(u,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_812 ),
    inference(avatar_component_clause,[],[f19719]) ).

fof(f32263,plain,
    ( spl0_1073
    | ~ spl0_242
    | ~ spl0_448
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18139,f11495,f8289,f2438,f32261]) ).

fof(f32261,plain,
    ( spl0_1073
  <=> ! [X0] :
        ( subset_relation = intersection(X0,subset_relation)
        | u = regular(intersection(X0,subset_relation)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).

fof(f8289,plain,
    ( spl0_448
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,unordered_pair(X1,X2))
        | regular(intersection(X0,unordered_pair(X1,X2))) = X1
        | regular(intersection(X0,unordered_pair(X1,X2))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f18139,plain,
    ( ! [X0] :
        ( subset_relation = intersection(X0,subset_relation)
        | u = regular(intersection(X0,subset_relation)) )
    | ~ spl0_242
    | ~ spl0_448
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18091,f2440]) ).

fof(f18091,plain,
    ( ! [X0] :
        ( u = regular(intersection(X0,subset_relation))
        | null_class = intersection(X0,subset_relation) )
    | ~ spl0_448
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17923]) ).

fof(f17923,plain,
    ( ! [X0] :
        ( u = regular(intersection(X0,subset_relation))
        | u = regular(intersection(X0,subset_relation))
        | null_class = intersection(X0,subset_relation) )
    | ~ spl0_448
    | ~ spl0_594 ),
    inference(superposition,[],[f8290,f11496]) ).

fof(f8290,plain,
    ( ! [X2,X0,X1] :
        ( regular(intersection(X0,unordered_pair(X1,X2))) = X2
        | regular(intersection(X0,unordered_pair(X1,X2))) = X1
        | null_class = intersection(X0,unordered_pair(X1,X2)) )
    | ~ spl0_448 ),
    inference(avatar_component_clause,[],[f8289]) ).

fof(f32259,plain,
    ( spl0_1072
    | ~ spl0_242
    | ~ spl0_447
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18137,f11495,f8285,f2438,f32257]) ).

fof(f32257,plain,
    ( spl0_1072
  <=> ! [X0] :
        ( subset_relation = intersection(subset_relation,X0)
        | u = regular(intersection(subset_relation,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).

fof(f8285,plain,
    ( spl0_447
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X2)
        | regular(intersection(unordered_pair(X0,X1),X2)) = X0
        | regular(intersection(unordered_pair(X0,X1),X2)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f18137,plain,
    ( ! [X0] :
        ( subset_relation = intersection(subset_relation,X0)
        | u = regular(intersection(subset_relation,X0)) )
    | ~ spl0_242
    | ~ spl0_447
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18093,f2440]) ).

fof(f18093,plain,
    ( ! [X0] :
        ( u = regular(intersection(subset_relation,X0))
        | null_class = intersection(subset_relation,X0) )
    | ~ spl0_447
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17921]) ).

fof(f17921,plain,
    ( ! [X0] :
        ( u = regular(intersection(subset_relation,X0))
        | u = regular(intersection(subset_relation,X0))
        | null_class = intersection(subset_relation,X0) )
    | ~ spl0_447
    | ~ spl0_594 ),
    inference(superposition,[],[f8286,f11496]) ).

fof(f8286,plain,
    ( ! [X2,X0,X1] :
        ( regular(intersection(unordered_pair(X0,X1),X2)) = X1
        | regular(intersection(unordered_pair(X0,X1),X2)) = X0
        | null_class = intersection(unordered_pair(X0,X1),X2) )
    | ~ spl0_447 ),
    inference(avatar_component_clause,[],[f8285]) ).

fof(f32255,plain,
    ( spl0_1071
    | ~ spl0_391
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18095,f11495,f6352,f32253]) ).

fof(f32253,plain,
    ( spl0_1071
  <=> ! [X0,X1] :
        ( ~ subclass(X0,subset_relation)
        | subclass(X0,X1)
        | not_subclass_element(X0,X1) = u ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).

fof(f6352,plain,
    ( spl0_391
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | subclass(X0,X3)
        | not_subclass_element(X0,X3) = X1
        | not_subclass_element(X0,X3) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f18095,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,subset_relation)
        | subclass(X0,X1)
        | not_subclass_element(X0,X1) = u )
    | ~ spl0_391
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17913]) ).

fof(f17913,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,subset_relation)
        | subclass(X0,X1)
        | not_subclass_element(X0,X1) = u
        | not_subclass_element(X0,X1) = u )
    | ~ spl0_391
    | ~ spl0_594 ),
    inference(superposition,[],[f6353,f11496]) ).

fof(f6353,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | subclass(X0,X3)
        | not_subclass_element(X0,X3) = X1
        | not_subclass_element(X0,X3) = X2 )
    | ~ spl0_391 ),
    inference(avatar_component_clause,[],[f6352]) ).

fof(f32251,plain,
    ( spl0_1070
    | ~ spl0_468
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18086,f11495,f9083,f32249]) ).

fof(f9083,plain,
    ( spl0_468
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | ~ subclass(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f18086,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | u = not_subclass_element(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_468
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17929]) ).

fof(f17929,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | u = not_subclass_element(subset_relation,X0)
        | u = not_subclass_element(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_468
    | ~ spl0_594 ),
    inference(superposition,[],[f9084,f11496]) ).

fof(f9084,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X2,unordered_pair(X0,X1))
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | unordered_pair(X0,X1) = X2 )
    | ~ spl0_468 ),
    inference(avatar_component_clause,[],[f9083]) ).

fof(f32246,plain,
    ( spl0_1069
    | ~ spl0_28
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f11574,f11569,f288,f32243]) ).

fof(f32217,plain,
    ( ~ spl0_104
    | ~ spl0_97
    | spl0_243
    | ~ spl0_518 ),
    inference(avatar_split_clause,[],[f32214,f10109,f2442,f723,f810]) ).

fof(f32214,plain,
    ( ~ member(u,subset_relation)
    | ~ spl0_97
    | spl0_243
    | ~ spl0_518 ),
    inference(forward_demodulation,[],[f2472,f10111]) ).

fof(f2472,plain,
    ( ~ member(regular(subset_relation),subset_relation)
    | ~ spl0_97
    | spl0_243 ),
    inference(resolution,[],[f2443,f724]) ).

fof(f2443,plain,
    ( ~ member(regular(subset_relation),cross_product(universal_class,universal_class))
    | spl0_243 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f32209,plain,
    ( ~ spl0_404
    | spl0_1068
    | ~ spl0_243
    | ~ spl0_494 ),
    inference(avatar_split_clause,[],[f9658,f9650,f2442,f32207,f6851]) ).

fof(f9650,plain,
    ( spl0_494
  <=> ! [X0,X1] :
        ( ~ member(X1,null_class)
        | ~ subclass(subset_relation,X0)
        | ~ member(X1,cross_product(universal_class,universal_class))
        | member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f9658,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | ~ member(regular(subset_relation),null_class)
        | member(regular(subset_relation),X0) )
    | ~ spl0_243
    | ~ spl0_494 ),
    inference(resolution,[],[f9651,f2444]) ).

fof(f9651,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,cross_product(universal_class,universal_class))
        | ~ subclass(subset_relation,X0)
        | ~ member(X1,null_class)
        | member(X1,X0) )
    | ~ spl0_494 ),
    inference(avatar_component_clause,[],[f9650]) ).

fof(f32205,plain,
    ( spl0_1067
    | ~ spl0_65
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f31287,f28280,f5770,f4931,f2438,f2341,f520,f32202]) ).

fof(f31287,plain,
    ( subset_relation = intersection(subset_relation,subset_relation)
    | ~ spl0_65
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f22726,f28282]) ).

fof(f22726,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),subset_relation)
    | ~ spl0_65
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387 ),
    inference(forward_demodulation,[],[f22725,f2440]) ).

fof(f22725,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),null_class)
    | ~ spl0_65
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387 ),
    inference(forward_demodulation,[],[f5358,f5775]) ).

fof(f5358,plain,
    ( subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | ~ spl0_65
    | ~ spl0_367 ),
    inference(superposition,[],[f522,f4933]) ).

fof(f32199,plain,
    ( spl0_1066
    | ~ spl0_33
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7123,f7108,f318,f32197]) ).

fof(f7123,plain,
    ( ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | ~ subclass(null_class,X1)
        | member(not_subclass_element(subset_relation,X0),X1) )
    | ~ spl0_33
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f319]) ).

fof(f32194,plain,
    ( spl0_1065
    | ~ spl0_102
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7119,f7108,f790,f32192]) ).

fof(f790,plain,
    ( spl0_102
  <=> ! [X0,X1] :
        ( ~ member(X1,null_class)
        | member(X1,X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f7119,plain,
    ( ! [X0,X1] :
        ( subclass(subset_relation,X0)
        | member(not_subclass_element(subset_relation,X0),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f791]) ).

fof(f791,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,null_class)
        | member(X1,X0)
        | null_class = X0 )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f32035,plain,
    ( ~ spl0_1061
    | spl0_1064
    | ~ spl0_237
    | ~ spl0_778 ),
    inference(avatar_split_clause,[],[f18398,f18393,f2400,f32033,f32019]) ).

fof(f32019,plain,
    ( spl0_1061
  <=> subclass(universal_class,complement(element_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).

fof(f32033,plain,
    ( spl0_1064
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(X0,u) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).

fof(f18393,plain,
    ( spl0_778
  <=> ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(X0,u) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).

fof(f18398,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(X0,u)
        | ~ subclass(universal_class,complement(element_relation)) )
    | ~ spl0_237
    | ~ spl0_778 ),
    inference(resolution,[],[f18394,f2401]) ).

fof(f18394,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | ~ member(X0,universal_class)
        | ~ member(X0,u) )
    | ~ spl0_778 ),
    inference(avatar_component_clause,[],[f18393]) ).

fof(f32031,plain,
    ( ~ spl0_1063
    | ~ spl0_906
    | spl0_1061 ),
    inference(avatar_split_clause,[],[f32026,f32019,f23112,f32028]) ).

fof(f32028,plain,
    ( spl0_1063
  <=> subclass(universal_class,complement(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).

fof(f32026,plain,
    ( ~ subclass(universal_class,complement(subset_relation))
    | ~ spl0_906
    | spl0_1061 ),
    inference(forward_demodulation,[],[f32021,f23114]) ).

fof(f32021,plain,
    ( ~ subclass(universal_class,complement(element_relation))
    | spl0_1061 ),
    inference(avatar_component_clause,[],[f32019]) ).

fof(f32025,plain,
    ( ~ spl0_1061
    | spl0_1062
    | ~ spl0_237
    | ~ spl0_777 ),
    inference(avatar_split_clause,[],[f18383,f18378,f2400,f32023,f32019]) ).

fof(f32023,plain,
    ( spl0_1062
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).

fof(f18383,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(u,X0)
        | ~ subclass(universal_class,complement(element_relation)) )
    | ~ spl0_237
    | ~ spl0_777 ),
    inference(resolution,[],[f18379,f2401]) ).

fof(f31990,plain,
    ( spl0_786
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1058 ),
    inference(avatar_split_clause,[],[f31983,f31973,f2438,f1257,f18488]) ).

fof(f31983,plain,
    ( subset_relation = u
    | ~ spl0_143
    | ~ spl0_242
    | spl0_1058 ),
    inference(forward_demodulation,[],[f31982,f2440]) ).

fof(f31982,plain,
    ( null_class = u
    | ~ spl0_143
    | spl0_1058 ),
    inference(resolution,[],[f31974,f1258]) ).

fof(f31974,plain,
    ( ~ member(u,u)
    | spl0_1058 ),
    inference(avatar_component_clause,[],[f31973]) ).

fof(f31988,plain,
    ( ~ spl0_1060
    | ~ spl0_906
    | spl0_1059 ),
    inference(avatar_split_clause,[],[f31981,f31977,f23112,f31985]) ).

fof(f31985,plain,
    ( spl0_1060
  <=> member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).

fof(f31977,plain,
    ( spl0_1059
  <=> member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).

fof(f31981,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),subset_relation)
    | ~ spl0_906
    | spl0_1059 ),
    inference(forward_demodulation,[],[f31979,f23114]) ).

fof(f31979,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),element_relation)
    | spl0_1059 ),
    inference(avatar_component_clause,[],[f31977]) ).

fof(f31980,plain,
    ( spl0_1058
    | ~ spl0_1059
    | ~ spl0_594
    | ~ spl0_765 ),
    inference(avatar_split_clause,[],[f18282,f18253,f11495,f31977,f31973]) ).

fof(f18282,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,subset_relation)),element_relation)
    | member(u,u)
    | ~ spl0_594
    | ~ spl0_765 ),
    inference(superposition,[],[f18254,f11496]) ).

fof(f31971,plain,
    ( spl0_1057
    | ~ spl0_242
    | ~ spl0_343
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18134,f11495,f4614,f2438,f31969]) ).

fof(f4614,plain,
    ( spl0_343
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | null_class = X0
        | regular(X0) = X1
        | regular(X0) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f18134,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ subclass(X0,subset_relation)
        | regular(X0) = u )
    | ~ spl0_242
    | ~ spl0_343
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18096,f2440]) ).

fof(f18096,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | null_class = X0
        | regular(X0) = u )
    | ~ spl0_343
    | ~ spl0_594 ),
    inference(duplicate_literal_removal,[],[f17909]) ).

fof(f17909,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | null_class = X0
        | regular(X0) = u
        | regular(X0) = u )
    | ~ spl0_343
    | ~ spl0_594 ),
    inference(superposition,[],[f4615,f11496]) ).

fof(f4615,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | null_class = X0
        | regular(X0) = X1
        | regular(X0) = X2 )
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f4614]) ).

fof(f31967,plain,
    ( spl0_1056
    | ~ spl0_6
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f11557,f3224,f194,f31965]) ).

fof(f31965,plain,
    ( spl0_1056
  <=> ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | subset_relation = X1
        | member(X0,regular(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).

fof(f3224,plain,
    ( spl0_294
  <=> ! [X2,X0,X1] :
        ( subset_relation = X1
        | ~ member(X0,subset_relation)
        | ~ subclass(regular(X1),X2)
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f11557,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | subset_relation = X1
        | member(X0,regular(X1)) )
    | ~ spl0_6
    | ~ spl0_294 ),
    inference(resolution,[],[f3225,f195]) ).

fof(f3225,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(regular(X1),X2)
        | ~ member(X0,subset_relation)
        | subset_relation = X1
        | member(X0,X2) )
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f3224]) ).

fof(f31962,plain,
    ( ~ spl0_1055
    | ~ spl0_97
    | spl0_797 ),
    inference(avatar_split_clause,[],[f19005,f18997,f723,f31959]) ).

fof(f19005,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),subset_relation)
    | ~ spl0_97
    | spl0_797 ),
    inference(resolution,[],[f18999,f724]) ).

fof(f31957,plain,
    ( ~ spl0_1054
    | ~ spl0_857
    | spl0_1053 ),
    inference(avatar_split_clause,[],[f31952,f31948,f21171,f31954]) ).

fof(f31954,plain,
    ( spl0_1054
  <=> member(second(subset_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).

fof(f31952,plain,
    ( ~ member(second(subset_relation),subset_relation)
    | ~ spl0_857
    | spl0_1053 ),
    inference(forward_demodulation,[],[f31950,f21172]) ).

fof(f31951,plain,
    ( ~ spl0_1053
    | ~ spl0_242
    | spl0_601 ),
    inference(avatar_split_clause,[],[f16176,f11602,f2438,f31948]) ).

fof(f16176,plain,
    ( ~ member(second(subset_relation),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_242
    | spl0_601 ),
    inference(superposition,[],[f11604,f2440]) ).

fof(f31945,plain,
    ( ~ spl0_4
    | spl0_1052 ),
    inference(avatar_contradiction_clause,[],[f31944]) ).

fof(f31944,plain,
    ( $false
    | ~ spl0_4
    | spl0_1052 ),
    inference(resolution,[],[f31942,f186]) ).

fof(f31942,plain,
    ( ~ subclass(complement(subset_relation),universal_class)
    | spl0_1052 ),
    inference(avatar_component_clause,[],[f31940]) ).

fof(f31940,plain,
    ( spl0_1052
  <=> subclass(complement(subset_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).

fof(f31943,plain,
    ( ~ spl0_1052
    | ~ spl0_242
    | spl0_1050 ),
    inference(avatar_split_clause,[],[f31938,f31929,f2438,f31940]) ).

fof(f31929,plain,
    ( spl0_1050
  <=> subclass(complement(null_class),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).

fof(f31938,plain,
    ( ~ subclass(complement(subset_relation),universal_class)
    | ~ spl0_242
    | spl0_1050 ),
    inference(forward_demodulation,[],[f31931,f2440]) ).

fof(f31931,plain,
    ( ~ subclass(complement(null_class),universal_class)
    | spl0_1050 ),
    inference(avatar_component_clause,[],[f31929]) ).

fof(f31936,plain,
    ( ~ spl0_1050
    | spl0_1051
    | ~ spl0_301
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f10866,f10857,f3252,f31933,f31929]) ).

fof(f31933,plain,
    ( spl0_1051
  <=> subclass(complement(null_class),complement(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).

fof(f3252,plain,
    ( spl0_301
  <=> ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | subclass(X0,complement(X1))
        | ~ subclass(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f10866,plain,
    ( subclass(complement(null_class),complement(subset_relation))
    | ~ subclass(complement(null_class),universal_class)
    | ~ spl0_301
    | ~ spl0_559 ),
    inference(duplicate_literal_removal,[],[f10861]) ).

fof(f10861,plain,
    ( subclass(complement(null_class),complement(subset_relation))
    | subclass(complement(null_class),complement(subset_relation))
    | ~ subclass(complement(null_class),universal_class)
    | ~ spl0_301
    | ~ spl0_559 ),
    inference(resolution,[],[f10858,f3253]) ).

fof(f3253,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | subclass(X0,complement(X1))
        | ~ subclass(X0,universal_class) )
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f3252]) ).

fof(f31927,plain,
    ( ~ spl0_1049
    | ~ spl0_3
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f2421,f2404,f180,f31924]) ).

fof(f31924,plain,
    ( spl0_1049
  <=> inductive(choice) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).

fof(f180,plain,
    ( spl0_3
  <=> function(choice) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2404,plain,
    ( spl0_238
  <=> ! [X0] :
        ( ~ inductive(X0)
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f2421,plain,
    ( ~ inductive(choice)
    | ~ spl0_3
    | ~ spl0_238 ),
    inference(resolution,[],[f2405,f182]) ).

fof(f182,plain,
    ( function(choice)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f2405,plain,
    ( ! [X0] :
        ( ~ function(X0)
        | ~ inductive(X0) )
    | ~ spl0_238 ),
    inference(avatar_component_clause,[],[f2404]) ).

fof(f31922,plain,
    ( ~ spl0_1044
    | spl0_1048
    | ~ spl0_261
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f10867,f10857,f2748,f31919,f31888]) ).

fof(f31888,plain,
    ( spl0_1044
  <=> subclass(complement(null_class),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).

fof(f31919,plain,
    ( spl0_1048
  <=> ! [X0] : subclass(complement(null_class),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).

fof(f10867,plain,
    ( ! [X0] :
        ( subclass(complement(null_class),X0)
        | ~ subclass(complement(null_class),identity_relation) )
    | ~ spl0_261
    | ~ spl0_559 ),
    inference(duplicate_literal_removal,[],[f10860]) ).

fof(f10860,plain,
    ( ! [X0] :
        ( subclass(complement(null_class),X0)
        | subclass(complement(null_class),X0)
        | ~ subclass(complement(null_class),identity_relation) )
    | ~ spl0_261
    | ~ spl0_559 ),
    inference(resolution,[],[f10858,f2749]) ).

fof(f31921,plain,
    ( ~ spl0_1046
    | spl0_1048
    | ~ spl0_116
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f10864,f10857,f899,f31919,f31908]) ).

fof(f31908,plain,
    ( spl0_1046
  <=> subclass(complement(null_class),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).

fof(f10864,plain,
    ( ! [X0] :
        ( subclass(complement(null_class),X0)
        | ~ subclass(complement(null_class),subset_relation) )
    | ~ spl0_116
    | ~ spl0_559 ),
    inference(duplicate_literal_removal,[],[f10863]) ).

fof(f10863,plain,
    ( ! [X0] :
        ( subclass(complement(null_class),X0)
        | ~ subclass(complement(null_class),subset_relation)
        | subclass(complement(null_class),X0) )
    | ~ spl0_116
    | ~ spl0_559 ),
    inference(resolution,[],[f10858,f900]) ).

fof(f31917,plain,
    ( ~ spl0_1047
    | ~ spl0_242
    | spl0_1046 ),
    inference(avatar_split_clause,[],[f31912,f31908,f2438,f31914]) ).

fof(f31914,plain,
    ( spl0_1047
  <=> subclass(complement(subset_relation),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).

fof(f31912,plain,
    ( ~ subclass(complement(subset_relation),subset_relation)
    | ~ spl0_242
    | spl0_1046 ),
    inference(forward_demodulation,[],[f31910,f2440]) ).

fof(f31910,plain,
    ( ~ subclass(complement(null_class),subset_relation)
    | spl0_1046 ),
    inference(avatar_component_clause,[],[f31908]) ).

fof(f31911,plain,
    ( spl0_411
    | ~ spl0_1046
    | ~ spl0_106
    | spl0_552 ),
    inference(avatar_split_clause,[],[f10802,f10796,f826,f31908,f7075]) ).

fof(f7075,plain,
    ( spl0_411
  <=> null_class = complement(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f10802,plain,
    ( ~ subclass(complement(null_class),subset_relation)
    | null_class = complement(null_class)
    | ~ spl0_106
    | spl0_552 ),
    inference(resolution,[],[f10798,f827]) ).

fof(f31898,plain,
    ( ~ spl0_737
    | spl0_887
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28595,f28280,f21893,f17299]) ).

fof(f21893,plain,
    ( spl0_887
  <=> subclass(cross_product(universal_class,universal_class),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).

fof(f28595,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_887
    | ~ spl0_969 ),
    inference(superposition,[],[f21895,f28282]) ).

fof(f21895,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),subset_relation)
    | spl0_887 ),
    inference(avatar_component_clause,[],[f21893]) ).

fof(f31897,plain,
    ( ~ spl0_1045
    | ~ spl0_242
    | spl0_1044 ),
    inference(avatar_split_clause,[],[f31892,f31888,f2438,f31894]) ).

fof(f31894,plain,
    ( spl0_1045
  <=> subclass(complement(subset_relation),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).

fof(f31892,plain,
    ( ~ subclass(complement(subset_relation),identity_relation)
    | ~ spl0_242
    | spl0_1044 ),
    inference(forward_demodulation,[],[f31890,f2440]) ).

fof(f31890,plain,
    ( ~ subclass(complement(null_class),identity_relation)
    | spl0_1044 ),
    inference(avatar_component_clause,[],[f31888]) ).

fof(f31891,plain,
    ( ~ spl0_1044
    | spl0_411
    | ~ spl0_251
    | spl0_552 ),
    inference(avatar_split_clause,[],[f10800,f10796,f2619,f7075,f31888]) ).

fof(f2619,plain,
    ( spl0_251
  <=> ! [X0] :
        ( ~ subclass(X0,identity_relation)
        | null_class = X0
        | member(regular(X0),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f10800,plain,
    ( null_class = complement(null_class)
    | ~ subclass(complement(null_class),identity_relation)
    | ~ spl0_251
    | spl0_552 ),
    inference(resolution,[],[f10798,f2620]) ).

fof(f2620,plain,
    ( ! [X0] :
        ( member(regular(X0),subset_relation)
        | null_class = X0
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f2619]) ).

fof(f31746,plain,
    ( spl0_1043
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | ~ spl0_969
    | ~ spl0_1042 ),
    inference(avatar_split_clause,[],[f31742,f31739,f28280,f5770,f2438,f2341,f31744]) ).

fof(f31744,plain,
    ( spl0_1043
  <=> ! [X2,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))),rotate(subset_relation))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).

fof(f31739,plain,
    ( spl0_1042
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).

fof(f31742,plain,
    ( ! [X2,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))),rotate(subset_relation))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,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(X0,X0))),subset_relation) )
    | ~ spl0_230
    | ~ spl0_242
    | spl0_387
    | ~ spl0_969
    | ~ spl0_1042 ),
    inference(forward_demodulation,[],[f31740,f31473]) ).

fof(f31740,plain,
    ( ! [X2,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(X0,X0))),subset_relation)
        | 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))),rotate(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation) )
    | ~ spl0_1042 ),
    inference(avatar_component_clause,[],[f31739]) ).

fof(f31741,plain,
    ( spl0_1042
    | ~ spl0_879
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f30466,f28280,f23112,f21720,f31739]) ).

fof(f30466,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,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(X0,X0))),subset_relation) )
    | ~ spl0_879
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30465,f28282]) ).

fof(f30465,plain,
    ( ! [X2,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))),rotate(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) )
    | ~ spl0_879
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30464,f28282]) ).

fof(f31736,plain,
    ( spl0_1041
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f31338,f28280,f23112,f10849,f5770,f4931,f2438,f2341,f31734]) ).

fof(f31734,plain,
    ( spl0_1041
  <=> ! [X0] :
        ( subclass(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0)
        | ~ member(not_subclass_element(complement(subset_relation),X0),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).

fof(f31338,plain,
    ( ! [X0] :
        ( subclass(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),X0)
        | ~ member(not_subclass_element(complement(subset_relation),X0),subset_relation) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31337,f28282]) ).

fof(f31731,plain,
    ( spl0_1040
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f31277,f28280,f23112,f10662,f5770,f4931,f2438,f2341,f31729]) ).

fof(f31277,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),subset_relation) )
    | ~ spl0_230
    | ~ spl0_242
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31276,f28282]) ).

fof(f31479,plain,
    ( spl0_1035
    | ~ spl0_242
    | ~ spl0_385
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f31139,f28280,f23112,f5760,f2438,f31141]) ).

fof(f31139,plain,
    ( member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_242
    | ~ spl0_385
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31138,f2440]) ).

fof(f31138,plain,
    ( member(null_class,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_385
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31137,f28282]) ).

fof(f31137,plain,
    ( member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_385
    | ~ spl0_906 ),
    inference(forward_demodulation,[],[f5762,f23114]) ).

fof(f31209,plain,
    ( spl0_595
    | ~ spl0_27
    | ~ spl0_1035 ),
    inference(avatar_split_clause,[],[f31146,f31141,f284,f11502]) ).

fof(f31146,plain,
    ( member(subset_relation,subset_relation)
    | ~ spl0_27
    | ~ spl0_1035 ),
    inference(resolution,[],[f31143,f285]) ).

fof(f31143,plain,
    ( member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_1035 ),
    inference(avatar_component_clause,[],[f31141]) ).

fof(f31208,plain,
    ( spl0_1039
    | ~ spl0_880
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f30463,f28280,f23112,f21726,f31206]) ).

fof(f31206,plain,
    ( spl0_1039
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,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))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).

fof(f30463,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,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))),subset_relation) )
    | ~ spl0_880
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30462,f28282]) ).

fof(f30462,plain,
    ( ! [X2,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(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) )
    | ~ spl0_880
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30461,f28282]) ).

fof(f31163,plain,
    ( spl0_1038
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f30543,f28280,f23112,f15208,f31161]) ).

fof(f31161,plain,
    ( spl0_1038
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).

fof(f30543,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1) )
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30542,f28282]) ).

fof(f30542,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),subset_relation)
        | subclass(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1) )
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30541,f23114]) ).

fof(f30541,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30540,f28282]) ).

fof(f30540,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30539,f23114]) ).

fof(f30539,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),X1)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_671
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30538,f28282]) ).

fof(f31159,plain,
    ( ~ spl0_1037
    | spl0_753
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f30492,f28280,f23112,f17751,f31156]) ).

fof(f31156,plain,
    ( spl0_1037
  <=> member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).

fof(f30492,plain,
    ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation)
    | spl0_753
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30491,f28282]) ).

fof(f31154,plain,
    ( ~ spl0_1036
    | spl0_754
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f30494,f28280,f23112,f17755,f31151]) ).

fof(f31151,plain,
    ( spl0_1036
  <=> member(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).

fof(f30494,plain,
    ( ~ member(complement(intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class))))))),universal_class)
    | spl0_754
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f30493,f28282]) ).

fof(f31144,plain,
    ( spl0_1035
    | ~ spl0_242
    | ~ spl0_387
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f31136,f28280,f5770,f2438,f31141]) ).

fof(f31136,plain,
    ( member(subset_relation,intersection(subset_relation,complement(compose(complement(subset_relation),domain_of(flip(cross_product(subset_relation,universal_class)))))))
    | ~ spl0_242
    | ~ spl0_387
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f31135,f28282]) ).

fof(f30348,plain,
    ( spl0_1034
    | ~ spl0_331
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10690,f10670,f4005,f30346]) ).

fof(f30346,plain,
    ( spl0_1034
  <=> ! [X0,X1] :
        ( subclass(intersection(X0,X1),null_class)
        | ~ subclass(X0,subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).

fof(f4005,plain,
    ( spl0_331
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,X1),X2)
        | ~ subclass(X0,X3)
        | member(not_subclass_element(intersection(X0,X1),X2),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f10670,plain,
    ( spl0_547
  <=> ! [X0] :
        ( subclass(X0,null_class)
        | ~ member(not_subclass_element(X0,null_class),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f10690,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),null_class)
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_331
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10689]) ).

fof(f10689,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),null_class)
        | ~ subclass(X0,subset_relation)
        | subclass(intersection(X0,X1),null_class) )
    | ~ spl0_331
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f4006]) ).

fof(f4006,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X3)
        | ~ subclass(X0,X3)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl0_331 ),
    inference(avatar_component_clause,[],[f4005]) ).

fof(f10671,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),subset_relation)
        | subclass(X0,null_class) )
    | ~ spl0_547 ),
    inference(avatar_component_clause,[],[f10670]) ).

fof(f30343,plain,
    ( spl0_1033
    | ~ spl0_339
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7125,f7108,f4052,f30341]) ).

fof(f4052,plain,
    ( spl0_339
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2))
        | ~ subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f7125,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(null_class,X0))
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_339
    | ~ spl0_414 ),
    inference(duplicate_literal_removal,[],[f7115]) ).

fof(f7115,plain,
    ( ! [X0] :
        ( subclass(subset_relation,intersection(null_class,X0))
        | subclass(subset_relation,intersection(null_class,X0))
        | ~ subclass(subset_relation,X0) )
    | ~ spl0_339
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f4053]) ).

fof(f4053,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2))
        | ~ subclass(X0,X2) )
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f4052]) ).

fof(f30338,plain,
    ( spl0_1032
    | ~ spl0_33
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1516,f485,f318,f30336]) ).

fof(f30336,plain,
    ( spl0_1032
  <=> ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).

fof(f1516,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_60 ),
    inference(resolution,[],[f487,f319]) ).

fof(f30328,plain,
    ( spl0_1031
    | ~ spl0_237
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17905,f11495,f2400,f30326]) ).

fof(f30326,plain,
    ( spl0_1031
  <=> ! [X0] :
        ( ~ member(subset_relation,X0)
        | ~ subclass(universal_class,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).

fof(f17905,plain,
    ( ! [X0] :
        ( ~ member(subset_relation,X0)
        | ~ subclass(universal_class,complement(X0)) )
    | ~ spl0_237
    | ~ spl0_594 ),
    inference(superposition,[],[f2401,f11496]) ).

fof(f30251,plain,
    ( spl0_1030
    | ~ spl0_74
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1700,f1656,f576,f30249]) ).

fof(f30249,plain,
    ( spl0_1030
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).

fof(f576,plain,
    ( spl0_74
  <=> ! [X9,X11,X10] :
        ( ~ operation(X10)
        | ~ operation(X11)
        | ~ compatible(X9,X10,X11)
        | homomorphism(X9,X10,X11)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),domain_of(X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1700,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_74
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f577]) ).

fof(f577,plain,
    ( ! [X10,X11,X9] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),domain_of(X10))
        | ~ operation(X11)
        | ~ compatible(X9,X10,X11)
        | homomorphism(X9,X10,X11)
        | ~ operation(X10) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f30246,plain,
    ( spl0_1029
    | ~ spl0_74
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1660,f1652,f576,f30244]) ).

fof(f30244,plain,
    ( spl0_1029
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).

fof(f1660,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))) )
    | ~ spl0_74
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f577]) ).

fof(f30183,plain,
    ( spl0_1028
    | ~ spl0_97
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f1957,f1953,f723,f30181]) ).

fof(f30181,plain,
    ( spl0_1028
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).

fof(f1953,plain,
    ( spl0_194
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f1957,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_194 ),
    inference(resolution,[],[f1954,f724]) ).

fof(f1954,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))) )
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f1953]) ).

fof(f30101,plain,
    ( spl0_1027
    | ~ spl0_969
    | ~ spl0_1026 ),
    inference(avatar_split_clause,[],[f30097,f30094,f28280,f30099]) ).

fof(f30099,plain,
    ( spl0_1027
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),subset_relation)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(X1,X1))),rotate(successor_relation))
        | ~ member(X1,universal_class)
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).

fof(f30094,plain,
    ( spl0_1026
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(X1,X1))),rotate(successor_relation))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).

fof(f30097,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),subset_relation)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(X1,X1))),rotate(successor_relation))
        | ~ member(X1,universal_class)
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) )
    | ~ spl0_969
    | ~ spl0_1026 ),
    inference(forward_demodulation,[],[f30095,f28282]) ).

fof(f30095,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(X1,X1))),rotate(successor_relation))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) )
    | ~ spl0_1026 ),
    inference(avatar_component_clause,[],[f30094]) ).

fof(f30096,plain,
    ( spl0_1026
    | ~ spl0_169
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1871,f1850,f1537,f30094]) ).

fof(f1537,plain,
    ( spl0_169
  <=> ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation)
        | ~ member(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1871,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),unordered_pair(X1,X1))),rotate(successor_relation))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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(X0,X0))),cross_product(universal_class,universal_class))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) )
    | ~ spl0_169
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f1538]) ).

fof(f1538,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation)
        | ~ member(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1537]) ).

fof(f30029,plain,
    ( spl0_1025
    | ~ spl0_66
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f1956,f1953,f525,f30027]) ).

fof(f30027,plain,
    ( spl0_1025
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).

fof(f525,plain,
    ( spl0_66
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X2,X0)
        | ~ member(X3,X1)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1956,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_194 ),
    inference(resolution,[],[f1954,f526]) ).

fof(f526,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
        | ~ member(X3,X1)
        | ~ member(X2,X0) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f29986,plain,
    ( spl0_1024
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(avatar_split_clause,[],[f29982,f29968,f28280,f21171,f2438,f29984]) ).

fof(f29984,plain,
    ( spl0_1024
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).

fof(f29982,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29981,f2440]) ).

fof(f29981,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ operation(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29980,f21172]) ).

fof(f29980,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))))
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29979,f2440]) ).

fof(f29979,plain,
    ( ! [X2,X3,X0,X1] :
        ( homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29978,f21172]) ).

fof(f29978,plain,
    ( ! [X2,X3,X0,X1] :
        ( homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29977,f2440]) ).

fof(f29977,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29976,f21172]) ).

fof(f29976,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29975,f2440]) ).

fof(f29975,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29974,f21172]) ).

fof(f29974,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29973,f2440]) ).

fof(f29973,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))),X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29972,f21172]) ).

fof(f29972,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class))),X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29971,f2440]) ).

fof(f29971,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_969
    | ~ spl0_1023 ),
    inference(forward_demodulation,[],[f29969,f28282]) ).

fof(f29970,plain,
    ( spl0_1023
    | ~ spl0_35
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f1960,f1953,f326,f29968]) ).

fof(f1960,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ operation(X3)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_194 ),
    inference(superposition,[],[f1954,f327]) ).

fof(f29924,plain,
    ( spl0_1022
    | ~ spl0_906
    | ~ spl0_1021 ),
    inference(avatar_split_clause,[],[f29920,f29917,f23112,f29922]) ).

fof(f29922,plain,
    ( spl0_1022
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class)))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))))))),universal_class),X5),universal_class)))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(X3))
        | ~ operation(X2)
        | ~ homomorphism(X4,X3,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).

fof(f29917,plain,
    ( spl0_1021
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(X3))
        | ~ operation(X2)
        | ~ homomorphism(X4,X3,X5)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class)))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))))))),universal_class),X5),universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).

fof(f29920,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class)))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))))))),universal_class),X5),universal_class)))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(X3))
        | ~ operation(X2)
        | ~ homomorphism(X4,X3,X5) )
    | ~ spl0_906
    | ~ spl0_1021 ),
    inference(forward_demodulation,[],[f29918,f23114]) ).

fof(f29918,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ subclass(domain_of(X1),domain_of(X3))
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ compatible(X0,X1,X2)
        | ~ operation(X2)
        | ~ homomorphism(X4,X3,X5)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class)))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))))))),universal_class),X5),universal_class))))))) )
    | ~ spl0_1021 ),
    inference(avatar_component_clause,[],[f29917]) ).

fof(f29919,plain,
    ( spl0_1021
    | ~ spl0_82
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1579,f1572,f627,f29917]) ).

fof(f1572,plain,
    ( spl0_171
  <=> ! [X0,X3,X2,X1] :
        ( ~ operation(X0)
        | ~ compatible(X1,X2,X0)
        | homomorphism(X1,X2,X0)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),X3)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X0),not_homomorphism1(X1,X2,X0)),unordered_pair(not_homomorphism1(X1,X2,X0),unordered_pair(not_homomorphism2(X1,X2,X0),not_homomorphism2(X1,X2,X0)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1579,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(X3))
        | ~ operation(X2)
        | ~ homomorphism(X4,X3,X5)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class),X3),universal_class)))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),X4),universal_class))))))))))),universal_class),X5),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f628]) ).

fof(f1573,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X0),not_homomorphism1(X1,X2,X0)),unordered_pair(not_homomorphism1(X1,X2,X0),unordered_pair(not_homomorphism2(X1,X2,X0),not_homomorphism2(X1,X2,X0)))),X3)
        | ~ compatible(X1,X2,X0)
        | homomorphism(X1,X2,X0)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),X3)
        | ~ operation(X0) )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f29912,plain,
    ( spl0_1020
    | ~ spl0_170
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f1947,f1941,f1544,f29910]) ).

fof(f29910,plain,
    ( spl0_1020
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ homomorphism(X3,X2,X4)
        | null_class = intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).

fof(f1941,plain,
    ( spl0_192
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ homomorphism(X0,X1,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class)))))))),universal_class),X0),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1947,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(regular(cross_product(X0,X1)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ homomorphism(X3,X2,X4)
        | null_class = intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_192 ),
    inference(superposition,[],[f1942,f1545]) ).

fof(f1942,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class)))))))),universal_class),X0),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X0,X1,X2)
        | null_class = intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1) )
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1941]) ).

fof(f29881,plain,
    ( spl0_1019
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1018 ),
    inference(avatar_split_clause,[],[f29877,f29873,f23112,f2438,f29879]) ).

fof(f29879,plain,
    ( spl0_1019
  <=> ! [X4,X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).

fof(f29873,plain,
    ( spl0_1018
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).

fof(f29877,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( cross_product(X0,X1) = subset_relation
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1018 ),
    inference(forward_demodulation,[],[f29876,f2440]) ).

fof(f29876,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_906
    | ~ spl0_1018 ),
    inference(forward_demodulation,[],[f29874,f23114]) ).

fof(f29874,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_1018 ),
    inference(avatar_component_clause,[],[f29873]) ).

fof(f29875,plain,
    ( spl0_1018
    | ~ spl0_82
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1558,f1544,f627,f29873]) ).

fof(f1558,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(regular(cross_product(X0,X1)),domain_of(X2))
        | ~ homomorphism(X3,X2,X4)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_82
    | ~ spl0_170 ),
    inference(superposition,[],[f628,f1545]) ).

fof(f29867,plain,
    ( spl0_1017
    | ~ spl0_167
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1713,f1656,f1489,f29865]) ).

fof(f1713,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),universal_class) )
    | ~ spl0_167
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1490]) ).

fof(f29859,plain,
    ( spl0_1016
    | ~ spl0_168
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1705,f1656,f1493,f29857]) ).

fof(f1493,plain,
    ( spl0_168
  <=> ! [X0,X1] :
        ( ~ member(intersection(X0,X1),universal_class)
        | intersection(X0,X1) = null_class
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1705,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),universal_class) )
    | ~ spl0_168
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1494]) ).

fof(f1494,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X0)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class) )
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1493]) ).

fof(f29851,plain,
    ( spl0_1015
    | ~ spl0_167
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1673,f1652,f1489,f29849]) ).

fof(f1673,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_167
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1490]) ).

fof(f29845,plain,
    ( ~ spl0_737
    | spl0_108
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28714,f28280,f23112,f834,f17299]) ).

fof(f834,plain,
    ( spl0_108
  <=> subclass(cross_product(universal_class,universal_class),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f28714,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_108
    | ~ spl0_906
    | ~ spl0_969 ),
    inference(forward_demodulation,[],[f28504,f23114]) ).

fof(f28504,plain,
    ( ~ subclass(subset_relation,element_relation)
    | spl0_108
    | ~ spl0_969 ),
    inference(superposition,[],[f836,f28282]) ).

fof(f836,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),element_relation)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f29840,plain,
    ( spl0_1014
    | ~ spl0_168
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1665,f1652,f1493,f29838]) ).

fof(f1665,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_168
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1494]) ).

fof(f29774,plain,
    ( spl0_1013
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1012 ),
    inference(avatar_split_clause,[],[f29770,f29764,f28280,f23112,f2438,f29772]) ).

fof(f29772,plain,
    ( spl0_1013
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).

fof(f29770,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29769,f23114]) ).

fof(f29769,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1012 ),
    inference(forward_demodulation,[],[f29768,f28282]) ).

fof(f29766,plain,
    ( spl0_1012
    | ~ spl0_76
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1527,f1493,f585,f29764]) ).

fof(f585,plain,
    ( spl0_76
  <=> ! [X4,X7,X5,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
        | ~ member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1527,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f586]) ).

fof(f586,plain,
    ( ! [X1,X7,X4,X5] :
        ( ~ member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f29699,plain,
    ( spl0_1011
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1010 ),
    inference(avatar_split_clause,[],[f29695,f29689,f28280,f23112,f2438,f29697]) ).

fof(f29697,plain,
    ( spl0_1011
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).

fof(f29695,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29694,f23114]) ).

fof(f29694,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_1010 ),
    inference(forward_demodulation,[],[f29693,f28282]) ).

fof(f29691,plain,
    ( spl0_1010
    | ~ spl0_76
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1506,f1489,f585,f29689]) ).

fof(f1506,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f586]) ).

fof(f29687,plain,
    ( spl0_1009
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1008 ),
    inference(avatar_split_clause,[],[f29683,f29679,f23112,f2438,f29685]) ).

fof(f29685,plain,
    ( spl0_1009
  <=> ! [X4,X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(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)))),universal_class),X2)
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ homomorphism(X3,X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).

fof(f29679,plain,
    ( spl0_1008
  <=> ! [X2,X4,X0,X3,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class)))))))
        | ~ homomorphism(X3,X2,X4)
        | null_class = intersection(cross_product(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)))),universal_class),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).

fof(f29683,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subset_relation = intersection(cross_product(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)))),universal_class),X2)
        | domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ homomorphism(X3,X2,X4) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1008 ),
    inference(forward_demodulation,[],[f29682,f2440]) ).

fof(f29682,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class)))))))
        | ~ homomorphism(X3,X2,X4)
        | null_class = intersection(cross_product(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)))),universal_class),X2) )
    | ~ spl0_906
    | ~ spl0_1008 ),
    inference(forward_demodulation,[],[f29680,f23114]) ).

fof(f29680,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ homomorphism(X3,X2,X4)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class)))))))
        | null_class = intersection(cross_product(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)))),universal_class),X2) )
    | ~ spl0_1008 ),
    inference(avatar_component_clause,[],[f29679]) ).

fof(f29681,plain,
    ( spl0_1008
    | ~ spl0_9
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f1944,f1941,f206,f29679]) ).

fof(f1944,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X2),universal_class)))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X3),universal_class))))))))))),universal_class),X4),universal_class)))))))
        | ~ homomorphism(X3,X2,X4)
        | null_class = intersection(cross_product(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)))),universal_class),X2) )
    | ~ spl0_9
    | ~ spl0_192 ),
    inference(resolution,[],[f1942,f207]) ).

fof(f29677,plain,
    ( ~ spl0_1007
    | spl0_110
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28506,f28280,f843,f29674]) ).

fof(f843,plain,
    ( spl0_110
  <=> subclass(cross_product(universal_class,universal_class),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f28506,plain,
    ( ~ subclass(subset_relation,successor_relation)
    | spl0_110
    | ~ spl0_969 ),
    inference(superposition,[],[f845,f28282]) ).

fof(f845,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),successor_relation)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f29623,plain,
    ( spl0_1006
    | ~ spl0_906
    | ~ spl0_1005 ),
    inference(avatar_split_clause,[],[f29619,f29616,f23112,f29621]) ).

fof(f29621,plain,
    ( spl0_1006
  <=> ! [X0,X3,X2,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class)))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).

fof(f29616,plain,
    ( spl0_1005
  <=> ! [X0,X3,X2,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class)))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).

fof(f29619,plain,
    ( ! [X2,X3,X0,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class)))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3) )
    | ~ spl0_906
    | ~ spl0_1005 ),
    inference(forward_demodulation,[],[f29617,f23114]) ).

fof(f29617,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class)))))))),universal_class),X2),universal_class)))))))
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3) )
    | ~ spl0_1005 ),
    inference(avatar_component_clause,[],[f29616]) ).

fof(f29618,plain,
    ( spl0_1005
    | ~ spl0_44
    | ~ spl0_82
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f889,f852,f627,f390,f29616]) ).

fof(f852,plain,
    ( spl0_112
  <=> ! [X0] :
        ( ~ member(X0,identity_relation)
        | member(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f889,plain,
    ( ! [X2,X3,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(flip(cross_product(subset_relation,universal_class)),cross_product(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)))),universal_class)),universal_class)))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3) )
    | ~ spl0_44
    | ~ spl0_82
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f887,f391]) ).

fof(f887,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),identity_relation)
        | ~ homomorphism(X2,flip(cross_product(subset_relation,universal_class)),X3)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),flip(cross_product(subset_relation,universal_class))),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),flip(cross_product(subset_relation,universal_class))),universal_class)))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_112 ),
    inference(resolution,[],[f853,f628]) ).

fof(f853,plain,
    ( ! [X0] :
        ( member(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X0,identity_relation) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f29610,plain,
    ( spl0_1004
    | ~ spl0_71
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1704,f1656,f557,f29608]) ).

fof(f557,plain,
    ( spl0_71
  <=> ! [X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),X1)
        | ~ member(X1,universal_class)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1704,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),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(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_71
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f558]) ).

fof(f558,plain,
    ( ! [X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),X1)
        | ~ member(X1,universal_class)
        | null_class = X1 )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f29602,plain,
    ( spl0_1003
    | ~ spl0_71
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1664,f1652,f557,f29600]) ).

fof(f1664,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_71
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f558]) ).

fof(f29547,plain,
    ( spl0_1002
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1001 ),
    inference(avatar_split_clause,[],[f29543,f29538,f23112,f2438,f29545]) ).

fof(f29545,plain,
    ( spl0_1002
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).

fof(f29538,plain,
    ( spl0_1001
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).

fof(f29543,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1001 ),
    inference(forward_demodulation,[],[f29542,f23114]) ).

fof(f29542,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_1001 ),
    inference(forward_demodulation,[],[f29541,f2440]) ).

fof(f29541,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) )
    | ~ spl0_906
    | ~ spl0_1001 ),
    inference(forward_demodulation,[],[f29539,f23114]) ).

fof(f29539,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) )
    | ~ spl0_1001 ),
    inference(avatar_component_clause,[],[f29538]) ).

fof(f29540,plain,
    ( spl0_1001
    | ~ spl0_97
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f1932,f1928,f723,f29538]) ).

fof(f1928,plain,
    ( spl0_191
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f1932,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_191 ),
    inference(resolution,[],[f1929,f724]) ).

fof(f1929,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f1928]) ).

fof(f29536,plain,
    ( spl0_1000
    | ~ spl0_906
    | ~ spl0_998 ),
    inference(avatar_split_clause,[],[f29527,f29524,f23112,f29534]) ).

fof(f29534,plain,
    ( spl0_1000
  <=> ! [X4,X0,X3,X2,X1] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ subclass(universal_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).

fof(f29524,plain,
    ( spl0_998
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ subclass(universal_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).

fof(f29527,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ subclass(universal_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_906
    | ~ spl0_998 ),
    inference(forward_demodulation,[],[f29525,f23114]) ).

fof(f29525,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ homomorphism(X1,X0,X2)
        | ~ subclass(universal_class,domain_of(X0))
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) )
    | ~ spl0_998 ),
    inference(avatar_component_clause,[],[f29524]) ).

fof(f29532,plain,
    ( ~ spl0_999
    | spl0_109
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28505,f28280,f839,f29529]) ).

fof(f29529,plain,
    ( spl0_999
  <=> successor_relation = subset_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).

fof(f839,plain,
    ( spl0_109
  <=> cross_product(universal_class,universal_class) = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f28505,plain,
    ( successor_relation != subset_relation
    | spl0_109
    | ~ spl0_969 ),
    inference(superposition,[],[f840,f28282]) ).

fof(f840,plain,
    ( cross_product(universal_class,universal_class) != successor_relation
    | spl0_109 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f29526,plain,
    ( spl0_998
    | ~ spl0_82
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f730,f711,f627,f29524]) ).

fof(f711,plain,
    ( spl0_94
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(unordered_pair(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f730,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ subclass(universal_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f628]) ).

fof(f712,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(X1,X2),X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f29522,plain,
    ( ~ spl0_997
    | ~ spl0_242
    | spl0_995 ),
    inference(avatar_split_clause,[],[f29517,f29510,f2438,f29519]) ).

fof(f29519,plain,
    ( spl0_997
  <=> operation(domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).

fof(f29510,plain,
    ( spl0_995
  <=> operation(domain_of(flip(cross_product(null_class,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).

fof(f29517,plain,
    ( ~ operation(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_242
    | spl0_995 ),
    inference(forward_demodulation,[],[f29512,f2440]) ).

fof(f29512,plain,
    ( ~ operation(domain_of(flip(cross_product(null_class,universal_class))))
    | spl0_995 ),
    inference(avatar_component_clause,[],[f29510]) ).

fof(f29516,plain,
    ( ~ spl0_995
    | spl0_996
    | ~ spl0_35
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f1963,f1953,f326,f29514,f29510]) ).

fof(f29514,plain,
    ( spl0_996
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | homomorphism(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)
        | ~ compatible(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)
        | ~ operation(X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).

fof(f1963,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)),unordered_pair(not_homomorphism1(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),unordered_pair(not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3),not_homomorphism2(X2,domain_of(flip(cross_product(null_class,universal_class))),X3))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ operation(X3)
        | ~ compatible(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)
        | homomorphism(X2,domain_of(flip(cross_product(null_class,universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(null_class,universal_class))))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_194 ),
    inference(superposition,[],[f1954,f327]) ).

fof(f29471,plain,
    ( spl0_994
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(avatar_split_clause,[],[f29467,f29453,f28280,f23112,f21171,f2438,f29469]) ).

fof(f29469,plain,
    ( spl0_994
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).

fof(f29467,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29466,f2440]) ).

fof(f29466,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29465,f21172]) ).

fof(f29465,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29464,f2440]) ).

fof(f29464,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29463,f21172]) ).

fof(f29463,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29462,f2440]) ).

fof(f29462,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29461,f23114]) ).

fof(f29461,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29460,f21172]) ).

fof(f29460,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29459,f2440]) ).

fof(f29459,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_906
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29458,f23114]) ).

fof(f29458,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29457,f21172]) ).

fof(f29457,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29456,f2440]) ).

fof(f29456,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_969
    | ~ spl0_993 ),
    inference(forward_demodulation,[],[f29454,f28282]) ).

fof(f29455,plain,
    ( spl0_993
    | ~ spl0_35
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f1935,f1928,f326,f29453]) ).

fof(f1935,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_191 ),
    inference(superposition,[],[f1929,f327]) ).

fof(f29396,plain,
    ( spl0_992
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_991 ),
    inference(avatar_split_clause,[],[f29392,f29387,f23112,f2438,f29394]) ).

fof(f29394,plain,
    ( spl0_992
  <=> ! [X2,X0,X1] :
        ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).

fof(f29387,plain,
    ( spl0_991
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).

fof(f29392,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_991 ),
    inference(forward_demodulation,[],[f29391,f23114]) ).

fof(f29391,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_906
    | ~ spl0_991 ),
    inference(forward_demodulation,[],[f29390,f2440]) ).

fof(f29390,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_906
    | ~ spl0_991 ),
    inference(forward_demodulation,[],[f29388,f23114]) ).

fof(f29388,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_991 ),
    inference(avatar_component_clause,[],[f29387]) ).

fof(f29389,plain,
    ( spl0_991
    | ~ spl0_66
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f1931,f1928,f525,f29387]) ).

fof(f1931,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_191 ),
    inference(resolution,[],[f1929,f526]) ).

fof(f29384,plain,
    ( ~ spl0_906
    | spl0_107
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28503,f28280,f830,f23112]) ).

fof(f28503,plain,
    ( element_relation != subset_relation
    | spl0_107
    | ~ spl0_969 ),
    inference(superposition,[],[f831,f28282]) ).

fof(f831,plain,
    ( element_relation != cross_product(universal_class,universal_class)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f29382,plain,
    ( spl0_990
    | ~ spl0_68
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1520,f1493,f540,f29380]) ).

fof(f29380,plain,
    ( spl0_990
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(cross_product(X0,X1),X2)
        | ~ member(intersection(cross_product(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).

fof(f1520,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(cross_product(X0,X1),X2)
        | ~ member(intersection(cross_product(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(cross_product(X0,X1),X2),intersection(cross_product(X0,X1),X2)),universal_class)),universal_class))))))))))) )
    | ~ spl0_68
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f541]) ).

fof(f29377,plain,
    ( spl0_989
    | ~ spl0_68
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1499,f1489,f540,f29375]) ).

fof(f29375,plain,
    ( spl0_989
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(X1,X2))
        | ~ member(intersection(X0,cross_product(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).

fof(f1499,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(X1,X2))
        | ~ member(intersection(X0,cross_product(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,cross_product(X1,X2)),intersection(X0,cross_product(X1,X2))),universal_class)),universal_class))))))))))) )
    | ~ spl0_68
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f541]) ).

fof(f29243,plain,
    ( spl0_988
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(avatar_split_clause,[],[f29239,f29232,f28280,f21171,f2438,f29241]) ).

fof(f29241,plain,
    ( spl0_988
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),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))),subset_relation)
        | ~ member(X2,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).

fof(f29239,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),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))),subset_relation)
        | ~ member(X2,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29238,f2440]) ).

fof(f29238,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))),subset_relation)
        | ~ member(X2,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29237,f28282]) ).

fof(f29237,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29236,f21172]) ).

fof(f29236,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29235,f2440]) ).

fof(f29235,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_969
    | ~ spl0_987 ),
    inference(forward_demodulation,[],[f29233,f28282]) ).

fof(f29234,plain,
    ( spl0_987
    | ~ spl0_181
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1892,f1854,f1772,f29232]) ).

fof(f1772,plain,
    ( spl0_181
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1892,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(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f1773]) ).

fof(f1773,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1772]) ).

fof(f29161,plain,
    ( spl0_986
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_985 ),
    inference(avatar_split_clause,[],[f29157,f29153,f28280,f2438,f29159]) ).

fof(f29159,plain,
    ( spl0_986
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(domain_of(X3)))
        | ~ member(X2,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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).

fof(f29157,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(domain_of(X3)))
        | ~ member(X2,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))),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_985 ),
    inference(forward_demodulation,[],[f29156,f2440]) ).

fof(f29156,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(domain_of(X3)))
        | ~ member(X2,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))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3) )
    | ~ spl0_969
    | ~ spl0_985 ),
    inference(forward_demodulation,[],[f29154,f28282]) ).

fof(f29155,plain,
    ( spl0_985
    | ~ spl0_61
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1888,f1854,f490,f29153]) ).

fof(f1888,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(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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))),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)))),universal_class),X3) )
    | ~ spl0_61
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f491]) ).

fof(f29009,plain,
    ( spl0_984
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(avatar_split_clause,[],[f29000,f28993,f28280,f21171,f2438,f29007]) ).

fof(f29007,plain,
    ( spl0_984
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),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(X0,X0))),subset_relation)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).

fof(f29000,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),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(X0,X0))),subset_relation)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28999,f2440]) ).

fof(f28999,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(X0,X0))),subset_relation)
        | ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28998,f28282]) ).

fof(f28998,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28997,f21172]) ).

fof(f28997,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28996,f2440]) ).

fof(f28996,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_969
    | ~ spl0_982 ),
    inference(forward_demodulation,[],[f28994,f28282]) ).

fof(f29005,plain,
    ( spl0_983
    | ~ spl0_11
    | ~ spl0_969 ),
    inference(avatar_split_clause,[],[f28490,f28280,f215,f29002]) ).

fof(f29002,plain,
    ( spl0_983
  <=> subclass(successor_relation,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).

fof(f215,plain,
    ( spl0_11
  <=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f28490,plain,
    ( subclass(successor_relation,subset_relation)
    | ~ spl0_11
    | ~ spl0_969 ),
    inference(superposition,[],[f217,f28282]) ).

fof(f217,plain,
    ( subclass(successor_relation,cross_product(universal_class,universal_class))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f28995,plain,
    ( spl0_982
    | ~ spl0_181
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1873,f1850,f1772,f28993]) ).

fof(f1873,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))),rotate(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class)),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X3),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f1773]) ).

fof(f28919,plain,
    ( spl0_981
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_980 ),
    inference(avatar_split_clause,[],[f28915,f28911,f28280,f2438,f28917]) ).

fof(f28917,plain,
    ( spl0_981
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(domain_of(X3)))
        | ~ member(X2,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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).

fof(f28915,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(domain_of(X3)))
        | ~ member(X2,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(X0,X0))),universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_980 ),
    inference(forward_demodulation,[],[f28914,f2440]) ).

fof(f28914,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(domain_of(X3)))
        | ~ member(X2,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(X0,X0))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3) )
    | ~ spl0_969
    | ~ spl0_980 ),
    inference(forward_demodulation,[],[f28912,f28282]) ).

fof(f28913,plain,
    ( spl0_980
    | ~ spl0_61
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1869,f1850,f490,f28911]) ).

fof(f1869,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))),rotate(domain_of(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(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(X0,X0))),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(X0,X0)))),universal_class),X3) )
    | ~ spl0_61
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f491]) ).

fof(f28879,plain,
    ( spl0_979
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_978 ),
    inference(avatar_split_clause,[],[f28875,f28871,f28280,f2438,f28877]) ).

fof(f28877,plain,
    ( spl0_979
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).

fof(f28875,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class) )
    | ~ spl0_242
    | ~ spl0_969
    | ~ spl0_978 ),
    inference(forward_demodulation,[],[f28874,f2440]) ).

fof(f28874,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_969
    | ~ spl0_978 ),
    inference(forward_demodulation,[],[f28872,f28282]) ).

fof(f28873,plain,
    ( spl0_978
    | ~ spl0_170
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1894,f1854,f1544,f28871]) ).

fof(f1894,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_187 ),
    inference(superposition,[],[f1855,f1545]) ).

fof(f28753,plain,
    ( spl0_977
    | ~ spl0_969
    | ~ spl0_976 ),
    inference(avatar_split_clause,[],[f28749,f28746,f28280,f28751]) ).

fof(f28751,plain,
    ( spl0_977
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).

fof(f28746,plain,
    ( spl0_976
  <=> ! [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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).

fof(f28749,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_969
    | ~ spl0_976 ),
    inference(forward_demodulation,[],[f28747,f28282]) ).

fof(f28747,plain,
    ( ! [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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_976 ),
    inference(avatar_component_clause,[],[f28746]) ).

fof(f28748,plain,
    ( spl0_976
    | ~ spl0_169
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1895,f1854,f1537,f28746]) ).

fof(f1895,plain,
    ( ! [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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_169
    | ~ spl0_187 ),
    inference(duplicate_literal_removal,[],[f1890]) ).

fof(f1890,plain,
    ( ! [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(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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)))))))))),flip(successor_relation))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(complement(intersection(complement(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),complement(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))))))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_169
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f1538]) ).

fof(f28454,plain,
    ( spl0_975
    | ~ spl0_969
    | ~ spl0_974 ),
    inference(avatar_split_clause,[],[f28450,f28447,f28280,f28452]) ).

fof(f28452,plain,
    ( spl0_975
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X5),universal_class)))),universal_class)),universal_class)))))
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).

fof(f28447,plain,
    ( spl0_974
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X5),universal_class)))),universal_class)),universal_class)))))
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).

fof(f28450,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X5),universal_class)))),universal_class)),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_969
    | ~ spl0_974 ),
    inference(forward_demodulation,[],[f28448,f28282]) ).

fof(f28448,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X5),universal_class)))),universal_class)),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_974 ),
    inference(avatar_component_clause,[],[f28447]) ).

fof(f28449,plain,
    ( spl0_974
    | ~ spl0_171
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1719,f1656,f1572,f28447]) ).

fof(f1719,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X5),universal_class)))),universal_class)),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_171
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1573]) ).

fof(f28411,plain,
    ( spl0_973
    | ~ spl0_969
    | ~ spl0_972 ),
    inference(avatar_split_clause,[],[f28407,f28404,f28280,f28409]) ).

fof(f28409,plain,
    ( spl0_973
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X4),universal_class)))))
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).

fof(f28404,plain,
    ( spl0_972
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X4),universal_class)))))
        | ~ operation(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).

fof(f28407,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X4),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_969
    | ~ spl0_972 ),
    inference(forward_demodulation,[],[f28405,f28282]) ).

fof(f28405,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X4),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_972 ),
    inference(avatar_component_clause,[],[f28404]) ).

fof(f28406,plain,
    ( spl0_972
    | ~ spl0_171
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1679,f1652,f1572,f28404]) ).

fof(f1679,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),compose(X4,X5))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))))),cross_product(universal_class,universal_class))
        | ~ compatible(X1,X2,X3)
        | homomorphism(X1,X2,X3)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X4),universal_class)))))
        | ~ operation(X3) )
    | ~ spl0_171
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1573]) ).

fof(f28368,plain,
    ( spl0_971
    | ~ spl0_969
    | ~ spl0_970 ),
    inference(avatar_split_clause,[],[f28364,f28361,f28280,f28366]) ).

fof(f28366,plain,
    ( spl0_971
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),subset_relation)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X4),universal_class)))),universal_class),X5),universal_class)))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),compose(X5,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).

fof(f28361,plain,
    ( spl0_970
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X4),universal_class)))),universal_class),X5),universal_class)))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),compose(X5,X4))
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).

fof(f28364,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),subset_relation)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X4),universal_class)))),universal_class),X5),universal_class)))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),compose(X5,X4)) )
    | ~ spl0_969
    | ~ spl0_970 ),
    inference(forward_demodulation,[],[f28362,f28282]) ).

fof(f28362,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),cross_product(universal_class,universal_class))
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X4),universal_class)))),universal_class),X5),universal_class)))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),compose(X5,X4))
        | ~ compatible(X0,X1,X2) )
    | ~ spl0_970 ),
    inference(avatar_component_clause,[],[f28361]) ).

fof(f28363,plain,
    ( spl0_970
    | ~ spl0_76
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1592,f1572,f585,f28361]) ).

fof(f1592,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X4),universal_class)))),universal_class),X5),universal_class)))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),compose(X5,X4))
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f586]) ).

fof(f28283,plain,
    ( spl0_969
    | spl0_593
    | ~ spl0_937 ),
    inference(avatar_split_clause,[],[f25386,f25216,f11490,f28280]) ).

fof(f25386,plain,
    ( cross_product(universal_class,universal_class) = subset_relation
    | spl0_593
    | ~ spl0_937 ),
    inference(resolution,[],[f25217,f11492]) ).

fof(f27892,plain,
    ( spl0_968
    | spl0_593
    | ~ spl0_937
    | ~ spl0_952 ),
    inference(avatar_split_clause,[],[f27466,f26142,f25216,f11490,f27890]) ).

fof(f27890,plain,
    ( spl0_968
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).

fof(f26142,plain,
    ( spl0_952
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).

fof(f27466,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_952 ),
    inference(forward_demodulation,[],[f26143,f25386]) ).

fof(f26143,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4) )
    | ~ spl0_952 ),
    inference(avatar_component_clause,[],[f26142]) ).

fof(f27888,plain,
    ( spl0_967
    | spl0_593
    | ~ spl0_937
    | ~ spl0_953 ),
    inference(avatar_split_clause,[],[f27465,f26150,f25216,f11490,f27886]) ).

fof(f27886,plain,
    ( spl0_967
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).

fof(f26150,plain,
    ( spl0_953
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).

fof(f27465,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_953 ),
    inference(forward_demodulation,[],[f26151,f25386]) ).

fof(f26151,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4) )
    | ~ spl0_953 ),
    inference(avatar_component_clause,[],[f26150]) ).

fof(f27884,plain,
    ( spl0_966
    | spl0_593
    | ~ spl0_937
    | ~ spl0_954 ),
    inference(avatar_split_clause,[],[f27464,f26158,f25216,f11490,f27882]) ).

fof(f27882,plain,
    ( spl0_966
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),compose(X1,X2))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).

fof(f26158,plain,
    ( spl0_954
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).

fof(f27464,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),compose(X1,X2))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_954 ),
    inference(forward_demodulation,[],[f26159,f25386]) ).

fof(f26159,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),compose(X1,X2))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4) )
    | ~ spl0_954 ),
    inference(avatar_component_clause,[],[f26158]) ).

fof(f27880,plain,
    ( spl0_965
    | spl0_593
    | ~ spl0_937
    | ~ spl0_955 ),
    inference(avatar_split_clause,[],[f27463,f26166,f25216,f11490,f27878]) ).

fof(f27878,plain,
    ( spl0_965
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),compose(X2,X3))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).

fof(f27463,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),compose(X2,X3))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_955 ),
    inference(forward_demodulation,[],[f26167,f25386]) ).

fof(f27876,plain,
    ( spl0_964
    | spl0_593
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(avatar_split_clause,[],[f27073,f25998,f25216,f11490,f27874]) ).

fof(f27874,plain,
    ( spl0_964
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),subset_relation)
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).

fof(f25998,plain,
    ( spl0_947
  <=> ! [X4,X0,X3,X2,X1] :
        ( subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).

fof(f27073,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),subset_relation)
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1)) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(forward_demodulation,[],[f25999,f25386]) ).

fof(f25999,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4) )
    | ~ spl0_947 ),
    inference(avatar_component_clause,[],[f25998]) ).

fof(f27872,plain,
    ( spl0_963
    | spl0_593
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(avatar_split_clause,[],[f27063,f26067,f25216,f11490,f27870]) ).

fof(f27870,plain,
    ( spl0_963
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),subset_relation)
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).

fof(f26067,plain,
    ( spl0_949
  <=> ! [X4,X0,X3,X2,X1] :
        ( subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).

fof(f27063,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),subset_relation)
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2)) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(forward_demodulation,[],[f26068,f25386]) ).

fof(f26068,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4) )
    | ~ spl0_949 ),
    inference(avatar_component_clause,[],[f26067]) ).

fof(f27487,plain,
    ( spl0_962
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(avatar_split_clause,[],[f27462,f26174,f25216,f21171,f11490,f2438,f27485]) ).

fof(f27485,plain,
    ( spl0_962
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).

fof(f27462,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f27461,f2440]) ).

fof(f27461,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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f27460,f25386]) ).

fof(f27460,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f27459,f21172]) ).

fof(f27459,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f27458,f2440]) ).

fof(f27458,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26175,f25386]) ).

fof(f27483,plain,
    ( spl0_961
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(avatar_split_clause,[],[f27428,f26329,f25216,f21171,f11490,f2438,f27481]) ).

fof(f27481,plain,
    ( spl0_961
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).

fof(f27428,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f27427,f2440]) ).

fof(f27427,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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f27426,f25386]) ).

fof(f27426,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_857
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f27425,f21172]) ).

fof(f27425,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f27424,f2440]) ).

fof(f27424,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26330,f25386]) ).

fof(f27479,plain,
    ( spl0_960
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(avatar_split_clause,[],[f27120,f25775,f25216,f11490,f2438,f27477]) ).

fof(f27477,plain,
    ( spl0_960
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(subset_relation,universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).

fof(f27120,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(subset_relation,universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(forward_demodulation,[],[f27119,f2440]) ).

fof(f27119,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(subset_relation,universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(forward_demodulation,[],[f25776,f25386]) ).

fof(f27062,plain,
    ( spl0_959
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(avatar_split_clause,[],[f26339,f26329,f26075,f25216,f11490,f2438,f27060]) ).

fof(f27060,plain,
    ( spl0_959
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).

fof(f26339,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26338,f2440]) ).

fof(f26338,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = cross_product(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)))),subset_relation)
        | ~ 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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26337,f26077]) ).

fof(f26337,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))),subset_relation)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26336,f25386]) ).

fof(f26336,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26335,f2440]) ).

fof(f26335,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26334,f26077]) ).

fof(f26334,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_958 ),
    inference(forward_demodulation,[],[f26333,f25386]) ).

fof(f26331,plain,
    ( spl0_958
    | ~ spl0_177
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1891,f1854,f1740,f26329]) ).

fof(f1891,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(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_177
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f1741]) ).

fof(f26188,plain,
    ( spl0_957
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(avatar_split_clause,[],[f26184,f26174,f26075,f25216,f11490,f2438,f26186]) ).

fof(f26186,plain,
    ( spl0_957
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).

fof(f26184,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26183,f2440]) ).

fof(f26183,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = cross_product(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)))),subset_relation)
        | ~ 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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation))))) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26182,f26077]) ).

fof(f26182,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(X0,X0))),subset_relation)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26181,f25386]) ).

fof(f26181,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_242
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26180,f2440]) ).

fof(f26180,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,subset_relation)))),subset_relation),X3),subset_relation)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ 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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26179,f26077]) ).

fof(f26179,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X2,subset_relation)
        | 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))),rotate(compose(X3,regular(cross_product(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)))),subset_relation)))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | spl0_593
    | ~ spl0_937
    | ~ spl0_950
    | ~ spl0_956 ),
    inference(forward_demodulation,[],[f26178,f25386]) ).

fof(f26176,plain,
    ( spl0_956
    | ~ spl0_177
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1872,f1850,f1740,f26174]) ).

fof(f1872,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))),rotate(compose(X3,regular(cross_product(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)))),universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X3),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(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(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)))),universal_class) )
    | ~ spl0_177
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f1741]) ).

fof(f26168,plain,
    ( spl0_955
    | ~ spl0_120
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1709,f1656,f970,f26166]) ).

fof(f1709,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))),X4) )
    | ~ spl0_120
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f971]) ).

fof(f26160,plain,
    ( spl0_954
    | ~ spl0_119
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1702,f1656,f966,f26158]) ).

fof(f1702,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),X4) )
    | ~ spl0_119
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f967]) ).

fof(f26152,plain,
    ( spl0_953
    | ~ spl0_120
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1669,f1652,f970,f26150]) ).

fof(f1669,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))),X4) )
    | ~ spl0_120
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f971]) ).

fof(f26144,plain,
    ( spl0_952
    | ~ spl0_119
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1662,f1652,f966,f26142]) ).

fof(f1662,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),X4) )
    | ~ spl0_119
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f967]) ).

fof(f26082,plain,
    ( spl0_951
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(avatar_split_clause,[],[f26073,f26067,f25216,f11490,f9868,f26080]) ).

fof(f26080,plain,
    ( spl0_951
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),compose(X3,X2))
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).

fof(f26073,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),compose(X3,X2))
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4) )
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(forward_demodulation,[],[f26072,f25387]) ).

fof(f25387,plain,
    ( universal_class = subset_relation
    | spl0_507
    | ~ spl0_937 ),
    inference(resolution,[],[f25217,f9870]) ).

fof(f9870,plain,
    ( ~ member(subset_relation,universal_class)
    | spl0_507 ),
    inference(avatar_component_clause,[],[f9868]) ).

fof(f26072,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),compose(X3,X2))
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4) )
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(forward_demodulation,[],[f26071,f25386]) ).

fof(f26071,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)))),compose(X3,X2))
        | subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class)) )
    | spl0_507
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(forward_demodulation,[],[f26070,f25387]) ).

fof(f26070,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),subset_relation),X2),subset_relation)))),subset_relation),X3),subset_relation))))),X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class)) )
    | spl0_507
    | ~ spl0_937
    | ~ spl0_949 ),
    inference(forward_demodulation,[],[f26068,f25387]) ).

fof(f26078,plain,
    ( spl0_950
    | spl0_507
    | ~ spl0_937 ),
    inference(avatar_split_clause,[],[f25387,f25216,f9868,f26075]) ).

fof(f26069,plain,
    ( spl0_949
    | ~ spl0_76
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1007,f970,f585,f26067]) ).

fof(f1007,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subclass(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4),not_subclass_element(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))),X4)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f586]) ).

fof(f26008,plain,
    ( spl0_948
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(avatar_split_clause,[],[f26004,f25998,f25216,f11490,f9868,f26006]) ).

fof(f26006,plain,
    ( spl0_948
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).

fof(f26004,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4) )
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(forward_demodulation,[],[f26003,f25387]) ).

fof(f26003,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4) )
    | spl0_507
    | spl0_593
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(forward_demodulation,[],[f26002,f25386]) ).

fof(f26002,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)))),compose(X2,X1))
        | subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class)) )
    | spl0_507
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(forward_demodulation,[],[f26001,f25387]) ).

fof(f26001,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),subset_relation),X1),subset_relation)))),subset_relation),X2),subset_relation)))),X3),X4)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class)) )
    | spl0_507
    | ~ spl0_937
    | ~ spl0_947 ),
    inference(forward_demodulation,[],[f25999,f25387]) ).

fof(f26000,plain,
    ( spl0_947
    | ~ spl0_76
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f990,f966,f585,f25998]) ).

fof(f990,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subclass(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4),not_subclass_element(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),X4)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f586]) ).

fof(f25783,plain,
    ( spl0_946
    | ~ spl0_242
    | spl0_507
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(avatar_split_clause,[],[f25779,f25775,f25216,f9868,f2438,f25781]) ).

fof(f25781,plain,
    ( spl0_946
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(subset_relation,subset_relation),subset_relation))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).

fof(f25779,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(subset_relation,subset_relation),subset_relation))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) )
    | ~ spl0_242
    | spl0_507
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(forward_demodulation,[],[f25778,f2440]) ).

fof(f25778,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(subset_relation,subset_relation),subset_relation))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class )
    | spl0_507
    | ~ spl0_937
    | ~ spl0_945 ),
    inference(forward_demodulation,[],[f25776,f25387]) ).

fof(f25777,plain,
    ( spl0_945
    | ~ spl0_81
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1557,f1544,f621,f25775]) ).

fof(f1557,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_81
    | ~ spl0_170 ),
    inference(superposition,[],[f622,f1545]) ).

fof(f25247,plain,
    ( spl0_944
    | ~ spl0_242
    | ~ spl0_938 ),
    inference(avatar_split_clause,[],[f25223,f25220,f2438,f25245]) ).

fof(f25245,plain,
    ( spl0_944
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).

fof(f25220,plain,
    ( spl0_938
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).

fof(f25223,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_938 ),
    inference(forward_demodulation,[],[f25221,f2440]) ).

fof(f25221,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),compose(X2,X3))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl0_938 ),
    inference(avatar_component_clause,[],[f25220]) ).

fof(f25243,plain,
    ( spl0_943
    | ~ spl0_242
    | ~ spl0_936 ),
    inference(avatar_split_clause,[],[f25214,f25211,f2438,f25241]) ).

fof(f25241,plain,
    ( spl0_943
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).

fof(f25211,plain,
    ( spl0_936
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).

fof(f25214,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_936 ),
    inference(forward_demodulation,[],[f25212,f2440]) ).

fof(f25212,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),compose(X1,X2))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3) )
    | ~ spl0_936 ),
    inference(avatar_component_clause,[],[f25211]) ).

fof(f25239,plain,
    ( spl0_942
    | ~ spl0_242
    | ~ spl0_935 ),
    inference(avatar_split_clause,[],[f25209,f25206,f2438,f25237]) ).

fof(f25237,plain,
    ( spl0_942
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).

fof(f25206,plain,
    ( spl0_935
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).

fof(f25209,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_935 ),
    inference(forward_demodulation,[],[f25207,f2440]) ).

fof(f25207,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_935 ),
    inference(avatar_component_clause,[],[f25206]) ).

fof(f25235,plain,
    ( spl0_941
    | ~ spl0_242
    | ~ spl0_934 ),
    inference(avatar_split_clause,[],[f25204,f25201,f2438,f25233]) ).

fof(f25233,plain,
    ( spl0_941
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).

fof(f25201,plain,
    ( spl0_934
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).

fof(f25204,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_934 ),
    inference(forward_demodulation,[],[f25202,f2440]) ).

fof(f25202,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_934 ),
    inference(avatar_component_clause,[],[f25201]) ).

fof(f25231,plain,
    ( spl0_940
    | ~ spl0_242
    | ~ spl0_933 ),
    inference(avatar_split_clause,[],[f25199,f25196,f2438,f25229]) ).

fof(f25229,plain,
    ( spl0_940
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).

fof(f25196,plain,
    ( spl0_933
  <=> ! [X0,X3,X2,X1] :
        ( null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).

fof(f25199,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_933 ),
    inference(forward_demodulation,[],[f25197,f2440]) ).

fof(f25197,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_933 ),
    inference(avatar_component_clause,[],[f25196]) ).

fof(f25227,plain,
    ( spl0_939
    | ~ spl0_242
    | ~ spl0_932 ),
    inference(avatar_split_clause,[],[f25194,f25191,f2438,f25225]) ).

fof(f25225,plain,
    ( spl0_939
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).

fof(f25191,plain,
    ( spl0_932
  <=> ! [X0,X3,X2,X1] :
        ( null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).

fof(f25194,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_932 ),
    inference(forward_demodulation,[],[f25192,f2440]) ).

fof(f25192,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_932 ),
    inference(avatar_component_clause,[],[f25191]) ).

fof(f25222,plain,
    ( spl0_938
    | ~ spl0_115
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1715,f1656,f895,f25220]) ).

fof(f895,plain,
    ( spl0_115
  <=> ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1715,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl0_115
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f896]) ).

fof(f896,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f25218,plain,
    ( spl0_937
    | ~ spl0_230
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f16090,f2438,f2341,f25216]) ).

fof(f16090,plain,
    ( ! [X0] :
        ( member(subset_relation,X0)
        | subset_relation = X0 )
    | ~ spl0_230
    | ~ spl0_242 ),
    inference(superposition,[],[f2342,f2440]) ).

fof(f25213,plain,
    ( spl0_936
    | ~ spl0_114
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1707,f1656,f891,f25211]) ).

fof(f891,plain,
    ( spl0_114
  <=> ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1707,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3) )
    | ~ spl0_114
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f892]) ).

fof(f892,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f25208,plain,
    ( spl0_935
    | ~ spl0_115
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1675,f1652,f895,f25206]) ).

fof(f1675,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class))
        | null_class = intersection(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_115
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f896]) ).

fof(f25203,plain,
    ( spl0_934
    | ~ spl0_114
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1667,f1652,f891,f25201]) ).

fof(f1667,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class))
        | null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_114
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f892]) ).

fof(f25198,plain,
    ( spl0_933
    | ~ spl0_76
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f938,f895,f585,f25196]) ).

fof(f938,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))),regular(intersection(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f586]) ).

fof(f25193,plain,
    ( spl0_932
    | ~ spl0_76
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f923,f891,f585,f25191]) ).

fof(f923,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)),regular(intersection(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f586]) ).

fof(f25103,plain,
    ( spl0_931
    | ~ spl0_22
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1701,f1656,f264,f25101]) ).

fof(f25101,plain,
    ( spl0_931
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).

fof(f1701,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))),X3) )
    | ~ spl0_22
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f265]) ).

fof(f25099,plain,
    ( spl0_930
    | ~ spl0_22
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1661,f1652,f264,f25097]) ).

fof(f25097,plain,
    ( spl0_930
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).

fof(f1661,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_22
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f265]) ).

fof(f24899,plain,
    ( spl0_929
    | ~ spl0_97
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1915,f1911,f723,f24897]) ).

fof(f24897,plain,
    ( spl0_929
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).

fof(f1911,plain,
    ( spl0_189
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1915,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_189 ),
    inference(resolution,[],[f1912,f724]) ).

fof(f1912,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1911]) ).

fof(f24797,plain,
    ( spl0_928
    | ~ spl0_242
    | ~ spl0_926 ),
    inference(avatar_split_clause,[],[f24789,f24786,f2438,f24795]) ).

fof(f24795,plain,
    ( spl0_928
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).

fof(f24786,plain,
    ( spl0_926
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).

fof(f24789,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_926 ),
    inference(forward_demodulation,[],[f24787,f2440]) ).

fof(f24787,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_926 ),
    inference(avatar_component_clause,[],[f24786]) ).

fof(f24793,plain,
    ( spl0_927
    | ~ spl0_242
    | ~ spl0_925 ),
    inference(avatar_split_clause,[],[f24784,f24781,f2438,f24791]) ).

fof(f24791,plain,
    ( spl0_927
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).

fof(f24781,plain,
    ( spl0_925
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).

fof(f24784,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_925 ),
    inference(forward_demodulation,[],[f24782,f2440]) ).

fof(f24782,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_925 ),
    inference(avatar_component_clause,[],[f24781]) ).

fof(f24788,plain,
    ( spl0_926
    | ~ spl0_21
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1706,f1656,f257,f24786]) ).

fof(f1706,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl0_21
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f258]) ).

fof(f24783,plain,
    ( spl0_925
    | ~ spl0_21
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1666,f1652,f257,f24781]) ).

fof(f1666,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_21
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f258]) ).

fof(f24736,plain,
    ( spl0_924
    | ~ spl0_242
    | ~ spl0_923 ),
    inference(avatar_split_clause,[],[f24732,f24729,f2438,f24734]) ).

fof(f24734,plain,
    ( spl0_924
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).

fof(f24729,plain,
    ( spl0_923
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).

fof(f24732,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),subset_relation) )
    | ~ spl0_242
    | ~ spl0_923 ),
    inference(forward_demodulation,[],[f24730,f2440]) ).

fof(f24730,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),subset_relation) )
    | ~ spl0_923 ),
    inference(avatar_component_clause,[],[f24729]) ).

fof(f24731,plain,
    ( spl0_923
    | ~ spl0_97
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1902,f1898,f723,f24729]) ).

fof(f1898,plain,
    ( spl0_188
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1902,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_188 ),
    inference(resolution,[],[f1899,f724]) ).

fof(f1899,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1898]) ).

fof(f24054,plain,
    ( spl0_593
    | ~ spl0_10
    | ~ spl0_901 ),
    inference(avatar_split_clause,[],[f23651,f22198,f210,f11490]) ).

fof(f210,plain,
    ( spl0_10
  <=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f22198,plain,
    ( spl0_901
  <=> ! [X0] :
        ( member(subset_relation,X0)
        | ~ subclass(element_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).

fof(f23651,plain,
    ( member(subset_relation,cross_product(universal_class,universal_class))
    | ~ spl0_10
    | ~ spl0_901 ),
    inference(resolution,[],[f22199,f212]) ).

fof(f212,plain,
    ( subclass(element_relation,cross_product(universal_class,universal_class))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f22199,plain,
    ( ! [X0] :
        ( ~ subclass(element_relation,X0)
        | member(subset_relation,X0) )
    | ~ spl0_901 ),
    inference(avatar_component_clause,[],[f22198]) ).

fof(f24027,plain,
    ( spl0_922
    | ~ spl0_194
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18000,f11495,f1953,f24025]) ).

fof(f24025,plain,
    ( spl0_922
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,X1))
        | ~ operation(X3)
        | ~ compatible(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).

fof(f18000,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)))),unordered_pair(unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)),unordered_pair(not_homomorphism1(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),unordered_pair(not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3),not_homomorphism2(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3))))))),compose(X2,X1))
        | ~ operation(X3)
        | ~ compatible(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)
        | homomorphism(X0,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class))),X3)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_194
    | ~ spl0_594 ),
    inference(superposition,[],[f1954,f11496]) ).

fof(f23944,plain,
    ( spl0_921
    | ~ spl0_242
    | ~ spl0_920 ),
    inference(avatar_split_clause,[],[f23940,f23937,f2438,f23942]) ).

fof(f23942,plain,
    ( spl0_921
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).

fof(f23937,plain,
    ( spl0_920
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).

fof(f23940,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3) )
    | ~ spl0_242
    | ~ spl0_920 ),
    inference(forward_demodulation,[],[f23938,f2440]) ).

fof(f23938,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_920 ),
    inference(avatar_component_clause,[],[f23937]) ).

fof(f23939,plain,
    ( spl0_920
    | ~ spl0_80
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1556,f1544,f615,f23937]) ).

fof(f1556,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_80
    | ~ spl0_170 ),
    inference(superposition,[],[f616,f1545]) ).

fof(f23683,plain,
    ( spl0_919
    | ~ spl0_43
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1883,f1854,f386,f23681]) ).

fof(f23681,plain,
    ( spl0_919
  <=> ! [X4,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(intersection(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),X4)
        | ~ 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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).

fof(f1883,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( 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(intersection(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),X4)
        | ~ 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) )
    | ~ spl0_43
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f387]) ).

fof(f23679,plain,
    ( spl0_918
    | ~ spl0_43
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1864,f1850,f386,f23677]) ).

fof(f23677,plain,
    ( spl0_918
  <=> ! [X4,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))),rotate(intersection(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),X4)
        | ~ 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(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).

fof(f1864,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( 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))),rotate(intersection(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),X4)
        | ~ 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(X0,X0))),X3) )
    | ~ spl0_43
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f387]) ).

fof(f23569,plain,
    ( spl0_917
    | ~ spl0_242
    | ~ spl0_914 ),
    inference(avatar_split_clause,[],[f23557,f23554,f2438,f23567]) ).

fof(f23567,plain,
    ( spl0_917
  <=> ! [X2,X0,X1] :
        ( subset_relation = X0
        | ~ subclass(X0,cross_product(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).

fof(f23554,plain,
    ( spl0_914
  <=> ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,cross_product(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).

fof(f23557,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = X0
        | ~ subclass(X0,cross_product(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))))) )
    | ~ spl0_242
    | ~ spl0_914 ),
    inference(forward_demodulation,[],[f23555,f2440]) ).

fof(f23555,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,cross_product(X1,X2))
        | null_class = X0
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))))) )
    | ~ spl0_914 ),
    inference(avatar_component_clause,[],[f23554]) ).

fof(f23565,plain,
    ( spl0_916
    | ~ spl0_39
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1886,f1854,f365,f23563]) ).

fof(f23563,plain,
    ( spl0_916
  <=> ! [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(complement(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).

fof(f1886,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(complement(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(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))),universal_class) )
    | ~ spl0_39
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f366]) ).

fof(f23561,plain,
    ( spl0_915
    | ~ spl0_39
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1867,f1850,f365,f23559]) ).

fof(f23559,plain,
    ( spl0_915
  <=> ! [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))),rotate(complement(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),X3)
        | ~ 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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).

fof(f1867,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))),rotate(complement(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),X3)
        | ~ 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(X0,X0))),universal_class) )
    | ~ spl0_39
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f366]) ).

fof(f23556,plain,
    ( spl0_914
    | ~ spl0_68
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1457,f1451,f540,f23554]) ).

fof(f1451,plain,
    ( spl0_165
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | null_class = X0
        | ~ subclass(X0,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1457,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,cross_product(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))))))) )
    | ~ spl0_68
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f541]) ).

fof(f1452,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X0
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class) )
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f23264,plain,
    ( spl0_913
    | ~ spl0_242
    | ~ spl0_908 ),
    inference(avatar_split_clause,[],[f23134,f23131,f2438,f23262]) ).

fof(f23262,plain,
    ( spl0_913
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))),rotate(X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).

fof(f23131,plain,
    ( spl0_908
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))),rotate(X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).

fof(f23134,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))),rotate(X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_908 ),
    inference(forward_demodulation,[],[f23132,f2440]) ).

fof(f23132,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))),rotate(X3))
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_908 ),
    inference(avatar_component_clause,[],[f23131]) ).

fof(f23150,plain,
    ( spl0_912
    | ~ spl0_242
    | ~ spl0_900 ),
    inference(avatar_split_clause,[],[f22196,f22193,f2438,f23148]) ).

fof(f23148,plain,
    ( spl0_912
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(regular(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class))))
        | ~ operation(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).

fof(f22193,plain,
    ( spl0_900
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(regular(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class))))
        | ~ operation(X2)
        | null_class = cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).

fof(f22196,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(regular(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class))))
        | ~ operation(X2) )
    | ~ spl0_242
    | ~ spl0_900 ),
    inference(forward_demodulation,[],[f22194,f2440]) ).

fof(f22194,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),domain_of(regular(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class))))
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ compatible(X0,X1,X2)
        | ~ operation(X2)
        | null_class = cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class) )
    | ~ spl0_900 ),
    inference(avatar_component_clause,[],[f22193]) ).

fof(f23146,plain,
    ( spl0_911
    | ~ spl0_242
    | ~ spl0_899 ),
    inference(avatar_split_clause,[],[f22191,f22188,f2438,f23144]) ).

fof(f23144,plain,
    ( spl0_911
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).

fof(f22188,plain,
    ( spl0_899
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).

fof(f22191,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3) )
    | ~ spl0_242
    | ~ spl0_899 ),
    inference(forward_demodulation,[],[f22189,f2440]) ).

fof(f22189,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_899 ),
    inference(avatar_component_clause,[],[f22188]) ).

fof(f23142,plain,
    ( spl0_910
    | ~ spl0_26
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1879,f1854,f280,f23140]) ).

fof(f23140,plain,
    ( spl0_910
  <=> ! [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(unordered_pair(X3,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))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).

fof(f280,plain,
    ( spl0_26
  <=> ! [X0,X1] :
        ( ~ member(X1,universal_class)
        | member(X1,unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1879,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(unordered_pair(X3,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))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) )
    | ~ spl0_26
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f281]) ).

fof(f281,plain,
    ( ! [X0,X1] :
        ( member(X1,unordered_pair(X0,X1))
        | ~ member(X1,universal_class) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f23138,plain,
    ( spl0_909
    | ~ spl0_24
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1878,f1854,f272,f23136]) ).

fof(f23136,plain,
    ( spl0_909
  <=> ! [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(unordered_pair(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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).

fof(f272,plain,
    ( spl0_24
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1878,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(unordered_pair(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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),universal_class) )
    | ~ spl0_24
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f273]) ).

fof(f273,plain,
    ( ! [X0,X1] :
        ( member(X0,unordered_pair(X0,X1))
        | ~ member(X0,universal_class) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f23133,plain,
    ( spl0_908
    | ~ spl0_170
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1875,f1850,f1544,f23131]) ).

fof(f1875,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))),rotate(X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_186 ),
    inference(superposition,[],[f1851,f1545]) ).

fof(f23129,plain,
    ( spl0_907
    | ~ spl0_26
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1860,f1850,f280,f23127]) ).

fof(f23127,plain,
    ( spl0_907
  <=> ! [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))),rotate(unordered_pair(X3,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(X0,X0))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).

fof(f1860,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))),rotate(unordered_pair(X3,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(X0,X0))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) )
    | ~ spl0_26
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f281]) ).

fof(f23115,plain,
    ( spl0_906
    | ~ spl0_242
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f22854,f4931,f2438,f23112]) ).

fof(f22854,plain,
    ( element_relation = subset_relation
    | ~ spl0_242
    | ~ spl0_367 ),
    inference(forward_demodulation,[],[f4933,f2440]) ).

fof(f23110,plain,
    ( spl0_905
    | ~ spl0_24
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1859,f1850,f272,f23108]) ).

fof(f23108,plain,
    ( spl0_905
  <=> ! [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))),rotate(unordered_pair(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(X0,X0))),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).

fof(f1859,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))),rotate(unordered_pair(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(X0,X0))),X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),universal_class) )
    | ~ spl0_24
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f273]) ).

fof(f23068,plain,
    ( ~ spl0_242
    | spl0_215
    | ~ spl0_902 ),
    inference(avatar_split_clause,[],[f23067,f22894,f2205,f2438]) ).

fof(f23067,plain,
    ( null_class != subset_relation
    | spl0_215
    | ~ spl0_902 ),
    inference(forward_demodulation,[],[f2206,f22896]) ).

fof(f23028,plain,
    ( spl0_904
    | ~ spl0_215
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2759,f2756,f2205,f23026]) ).

fof(f23026,plain,
    ( spl0_904
  <=> ! [X0,X1] :
        ( cross_product(X0,X1) = identity_relation
        | member(regular(cross_product(X0,X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).

fof(f2756,plain,
    ( spl0_262
  <=> ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f2759,plain,
    ( ! [X0,X1] :
        ( cross_product(X0,X1) = identity_relation
        | member(regular(cross_product(X0,X1)),universal_class) )
    | ~ spl0_215
    | ~ spl0_262 ),
    inference(forward_demodulation,[],[f2757,f2207]) ).

fof(f2757,plain,
    ( ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f2756]) ).

fof(f22953,plain,
    ( spl0_903
    | ~ spl0_242
    | ~ spl0_592 ),
    inference(avatar_split_clause,[],[f22203,f11449,f2438,f22951]) ).

fof(f22951,plain,
    ( spl0_903
  <=> ! [X0,X1] :
        ( subset_relation = intersection(X0,complement(X1))
        | ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(X0,complement(X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).

fof(f11449,plain,
    ( spl0_592
  <=> ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f22203,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,complement(X1))
        | ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(X0,complement(X1)),universal_class) )
    | ~ spl0_242
    | ~ spl0_592 ),
    inference(forward_demodulation,[],[f22202,f2440]) ).

fof(f22202,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(subset_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class) )
    | ~ spl0_242
    | ~ spl0_592 ),
    inference(forward_demodulation,[],[f11450,f2440]) ).

fof(f11450,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class) )
    | ~ spl0_592 ),
    inference(avatar_component_clause,[],[f11449]) ).

fof(f22897,plain,
    ( spl0_902
    | ~ spl0_215
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f22892,f2438,f2205,f22894]) ).

fof(f22892,plain,
    ( identity_relation = subset_relation
    | ~ spl0_215
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f2207,f2440]) ).

fof(f22200,plain,
    ( spl0_901
    | ~ spl0_33
    | spl0_196
    | ~ spl0_230
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f11508,f4840,f2341,f1975,f318,f22198]) ).

fof(f11508,plain,
    ( ! [X0] :
        ( member(subset_relation,X0)
        | ~ subclass(element_relation,X0) )
    | ~ spl0_33
    | spl0_196
    | ~ spl0_230
    | ~ spl0_360 ),
    inference(forward_demodulation,[],[f11507,f3173]) ).

fof(f3173,plain,
    ( null_class = subset_relation
    | spl0_196
    | ~ spl0_230 ),
    inference(resolution,[],[f2342,f1977]) ).

fof(f1977,plain,
    ( ~ member(null_class,subset_relation)
    | spl0_196 ),
    inference(avatar_component_clause,[],[f1975]) ).

fof(f11507,plain,
    ( ! [X0] :
        ( ~ subclass(element_relation,X0)
        | member(null_class,X0) )
    | ~ spl0_33
    | ~ spl0_360 ),
    inference(resolution,[],[f4841,f319]) ).

fof(f22195,plain,
    ( spl0_900
    | ~ spl0_134
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1594,f1572,f1135,f22193]) ).

fof(f1594,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(regular(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class))))
        | ~ operation(X2)
        | null_class = cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2))))),universal_class) )
    | ~ spl0_134
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f1136]) ).

fof(f22190,plain,
    ( spl0_899
    | ~ spl0_79
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1555,f1544,f611,f22188]) ).

fof(f1555,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),flip(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),unordered_pair(X2,X2))),X3)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_79
    | ~ spl0_170 ),
    inference(superposition,[],[f612,f1545]) ).

fof(f22114,plain,
    ( spl0_898
    | ~ spl0_242
    | ~ spl0_893 ),
    inference(avatar_split_clause,[],[f22053,f22050,f2438,f22112]) ).

fof(f22112,plain,
    ( spl0_898
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).

fof(f22050,plain,
    ( spl0_893
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).

fof(f22053,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_242
    | ~ spl0_893 ),
    inference(forward_demodulation,[],[f22051,f2440]) ).

fof(f22051,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_893 ),
    inference(avatar_component_clause,[],[f22050]) ).

fof(f22110,plain,
    ( spl0_897
    | ~ spl0_242
    | ~ spl0_892 ),
    inference(avatar_split_clause,[],[f22048,f22045,f2438,f22108]) ).

fof(f22108,plain,
    ( spl0_897
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).

fof(f22045,plain,
    ( spl0_892
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).

fof(f22048,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X1
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_242
    | ~ spl0_892 ),
    inference(forward_demodulation,[],[f22046,f2440]) ).

fof(f22046,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_892 ),
    inference(avatar_component_clause,[],[f22045]) ).

fof(f22106,plain,
    ( spl0_896
    | ~ spl0_242
    | ~ spl0_891 ),
    inference(avatar_split_clause,[],[f22043,f22040,f2438,f22104]) ).

fof(f22104,plain,
    ( spl0_896
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).

fof(f22040,plain,
    ( spl0_891
  <=> ! [X0,X3,X2,X1] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).

fof(f22043,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_891 ),
    inference(forward_demodulation,[],[f22041,f2440]) ).

fof(f22041,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),compose(X3,X2))
        | null_class = X0 )
    | ~ spl0_891 ),
    inference(avatar_component_clause,[],[f22040]) ).

fof(f22069,plain,
    ( spl0_895
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(avatar_split_clause,[],[f22064,f22055,f21171,f2438,f22067]) ).

fof(f22067,plain,
    ( spl0_895
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).

fof(f22055,plain,
    ( spl0_894
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).

fof(f22064,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22063,f2440]) ).

fof(f22063,plain,
    ( ! [X2,X0,X1] :
        ( subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22062,f21172]) ).

fof(f22062,plain,
    ( ! [X2,X0,X1] :
        ( subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22061,f2440]) ).

fof(f22061,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22060,f21172]) ).

fof(f22060,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22059,f2440]) ).

fof(f22059,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22058,f21172]) ).

fof(f22058,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_894 ),
    inference(forward_demodulation,[],[f22056,f2440]) ).

fof(f22056,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_894 ),
    inference(avatar_component_clause,[],[f22055]) ).

fof(f22057,plain,
    ( spl0_894
    | ~ spl0_35
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1918,f1911,f326,f22055]) ).

fof(f1918,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))),X2)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_189 ),
    inference(superposition,[],[f1912,f327]) ).

fof(f22052,plain,
    ( spl0_893
    | ~ spl0_165
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1712,f1656,f1451,f22050]) ).

fof(f1712,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_165
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1452]) ).

fof(f22047,plain,
    ( spl0_892
    | ~ spl0_165
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1672,f1652,f1451,f22045]) ).

fof(f1672,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | null_class = X1
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_165
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1452]) ).

fof(f22042,plain,
    ( spl0_891
    | ~ spl0_76
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1464,f1451,f585,f22040]) ).

fof(f1464,plain,
    ( ! [X2,X3,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f586]) ).

fof(f22006,plain,
    ( spl0_890
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(avatar_split_clause,[],[f22002,f21993,f21171,f2438,f22004]) ).

fof(f22004,plain,
    ( spl0_890
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).

fof(f21993,plain,
    ( spl0_889
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).

fof(f22002,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f22001,f2440]) ).

fof(f22001,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f22000,f21172]) ).

fof(f22000,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f21999,f2440]) ).

fof(f21999,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f21998,f21172]) ).

fof(f21998,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f21997,f2440]) ).

fof(f21997,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f21996,f21172]) ).

fof(f21996,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_242
    | ~ spl0_889 ),
    inference(forward_demodulation,[],[f21994,f2440]) ).

fof(f21994,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_889 ),
    inference(avatar_component_clause,[],[f21993]) ).

fof(f21995,plain,
    ( spl0_889
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1905,f1898,f326,f21993]) ).

fof(f1905,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(superposition,[],[f1899,f327]) ).

fof(f21945,plain,
    ( spl0_888
    | ~ spl0_66
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1914,f1911,f525,f21943]) ).

fof(f21943,plain,
    ( spl0_888
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).

fof(f1914,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)
        | ~ member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_189 ),
    inference(resolution,[],[f1912,f526]) ).

fof(f21896,plain,
    ( ~ spl0_887
    | ~ spl0_242
    | spl0_478 ),
    inference(avatar_split_clause,[],[f16142,f9164,f2438,f21893]) ).

fof(f9164,plain,
    ( spl0_478
  <=> subclass(cross_product(universal_class,universal_class),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f16142,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),subset_relation)
    | ~ spl0_242
    | spl0_478 ),
    inference(superposition,[],[f9166,f2440]) ).

fof(f9166,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),null_class)
    | spl0_478 ),
    inference(avatar_component_clause,[],[f9164]) ).

fof(f21756,plain,
    ( spl0_886
    | ~ spl0_242
    | ~ spl0_884 ),
    inference(avatar_split_clause,[],[f21748,f21745,f2438,f21754]) ).

fof(f21754,plain,
    ( spl0_886
  <=> ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).

fof(f21745,plain,
    ( spl0_884
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).

fof(f21748,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_884 ),
    inference(forward_demodulation,[],[f21746,f2440]) ).

fof(f21746,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_884 ),
    inference(avatar_component_clause,[],[f21745]) ).

fof(f21752,plain,
    ( spl0_885
    | ~ spl0_242
    | ~ spl0_883 ),
    inference(avatar_split_clause,[],[f21743,f21740,f2438,f21750]) ).

fof(f21750,plain,
    ( spl0_885
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).

fof(f21740,plain,
    ( spl0_883
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).

fof(f21743,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3) )
    | ~ spl0_242
    | ~ spl0_883 ),
    inference(forward_demodulation,[],[f21741,f2440]) ).

fof(f21741,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_883 ),
    inference(avatar_component_clause,[],[f21740]) ).

fof(f21747,plain,
    ( spl0_884
    | ~ spl0_66
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1901,f1898,f525,f21745]) ).

fof(f1901,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_188 ),
    inference(resolution,[],[f1899,f526]) ).

fof(f21742,plain,
    ( spl0_883
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1554,f1544,f607,f21740]) ).

fof(f1554,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(regular(cross_product(X0,X1)),regular(cross_product(X0,X1))),unordered_pair(regular(cross_product(X0,X1)),unordered_pair(X2,X2))),rotate(X3))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),unordered_pair(second(regular(cross_product(X0,X1))),unordered_pair(X2,X2))),unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))),X3)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(superposition,[],[f608,f1545]) ).

fof(f21738,plain,
    ( ~ spl0_881
    | spl0_882
    | ~ spl0_74
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1054,f1028,f576,f21736,f21732]) ).

fof(f21732,plain,
    ( spl0_881
  <=> operation(flip(cross_product(subset_relation,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).

fof(f21736,plain,
    ( spl0_882
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1)),unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),unordered_pair(not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1)))),subset_relation)
        | homomorphism(X0,flip(cross_product(subset_relation,universal_class)),X1)
        | ~ compatible(X0,flip(cross_product(subset_relation,universal_class)),X1)
        | ~ operation(X1)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1)),unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),unordered_pair(not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).

fof(f1054,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1)),unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),unordered_pair(not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1)))),subset_relation)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1)),unordered_pair(not_homomorphism1(X0,flip(cross_product(subset_relation,universal_class)),X1),unordered_pair(not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1),not_homomorphism2(X0,flip(cross_product(subset_relation,universal_class)),X1)))),identity_relation)
        | ~ operation(X1)
        | ~ compatible(X0,flip(cross_product(subset_relation,universal_class)),X1)
        | homomorphism(X0,flip(cross_product(subset_relation,universal_class)),X1)
        | ~ operation(flip(cross_product(subset_relation,universal_class))) )
    | ~ spl0_74
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f577]) ).

fof(f21728,plain,
    ( spl0_880
    | ~ spl0_137
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1885,f1854,f1189,f21726]) ).

fof(f1885,plain,
    ( ! [X2,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(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) )
    | ~ spl0_137
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f1190]) ).

fof(f21722,plain,
    ( spl0_879
    | ~ spl0_137
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1866,f1850,f1189,f21720]) ).

fof(f1866,plain,
    ( ! [X2,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))),rotate(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) )
    | ~ spl0_137
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f1190]) ).

fof(f21648,plain,
    ( spl0_878
    | ~ spl0_146
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1710,f1656,f1269,f21646]) ).

fof(f21646,plain,
    ( spl0_878
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).

fof(f1269,plain,
    ( spl0_146
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(universal_class,X1)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1710,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_146
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1270]) ).

fof(f1270,plain,
    ( ! [X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f21644,plain,
    ( spl0_877
    | ~ spl0_146
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1670,f1652,f1269,f21642]) ).

fof(f21642,plain,
    ( spl0_877
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).

fof(f1670,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_146
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1270]) ).

fof(f21640,plain,
    ( spl0_876
    | ~ spl0_76
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1315,f1269,f585,f21638]) ).

fof(f21638,plain,
    ( spl0_876
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X3,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).

fof(f1315,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X3,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X3),universal_class)),universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f586]) ).

fof(f21624,plain,
    ( spl0_875
    | ~ spl0_242
    | ~ spl0_871 ),
    inference(avatar_split_clause,[],[f21569,f21566,f2438,f21622]) ).

fof(f21622,plain,
    ( spl0_875
  <=> ! [X4,X0,X3,X2,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),compose(X3,X4))
        | ~ member(not_homomorphism2(X0,X1,X2),universal_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).

fof(f21566,plain,
    ( spl0_871
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),compose(X3,X4))
        | ~ member(not_homomorphism2(X0,X1,X2),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).

fof(f21569,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( subset_relation = intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),compose(X3,X4))
        | ~ member(not_homomorphism2(X0,X1,X2),universal_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2) )
    | ~ spl0_242
    | ~ spl0_871 ),
    inference(forward_demodulation,[],[f21567,f2440]) ).

fof(f21567,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),compose(X3,X4))
        | ~ member(not_homomorphism2(X0,X1,X2),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2) )
    | ~ spl0_871 ),
    inference(avatar_component_clause,[],[f21566]) ).

fof(f21589,plain,
    ( spl0_874
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(avatar_split_clause,[],[f21585,f21576,f21171,f2438,f21587]) ).

fof(f21587,plain,
    ( spl0_874
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | subclass(subset_relation,X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).

fof(f21576,plain,
    ( spl0_873
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).

fof(f21585,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | subclass(subset_relation,X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21584,f2440]) ).

fof(f21584,plain,
    ( ! [X2,X0,X1] :
        ( subclass(subset_relation,X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21583,f21172]) ).

fof(f21583,plain,
    ( ! [X2,X0,X1] :
        ( subclass(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21582,f2440]) ).

fof(f21582,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21581,f21172]) ).

fof(f21581,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21580,f2440]) ).

fof(f21580,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(subset_relation,X2),not_subclass_element(subset_relation,X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_857
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21579,f21172]) ).

fof(f21579,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_873 ),
    inference(forward_demodulation,[],[f21577,f2440]) ).

fof(f21577,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_873 ),
    inference(avatar_component_clause,[],[f21576]) ).

fof(f21578,plain,
    ( spl0_873
    | ~ spl0_35
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1921,f1911,f326,f21576]) ).

fof(f1921,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subclass(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),X2)
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_189 ),
    inference(superposition,[],[f1912,f327]) ).

fof(f21574,plain,
    ( spl0_872
    | ~ spl0_242
    | ~ spl0_465 ),
    inference(avatar_split_clause,[],[f16140,f9066,f2438,f21571]) ).

fof(f9066,plain,
    ( spl0_465
  <=> member(u,intersection(null_class,subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f16140,plain,
    ( member(u,intersection(subset_relation,subset_relation))
    | ~ spl0_242
    | ~ spl0_465 ),
    inference(superposition,[],[f9068,f2440]) ).

fof(f9068,plain,
    ( member(u,intersection(null_class,subset_relation))
    | ~ spl0_465 ),
    inference(avatar_component_clause,[],[f9066]) ).

fof(f21568,plain,
    ( spl0_871
    | ~ spl0_171
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1768,f1762,f1572,f21566]) ).

fof(f1762,plain,
    ( spl0_180
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1768,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),compose(X3,X4))
        | ~ member(not_homomorphism2(X0,X1,X2),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2) )
    | ~ spl0_171
    | ~ spl0_180 ),
    inference(resolution,[],[f1763,f1573]) ).

fof(f1763,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1762]) ).

fof(f21493,plain,
    ( spl0_870
    | ~ spl0_242
    | ~ spl0_868 ),
    inference(avatar_split_clause,[],[f21416,f21412,f2438,f21491]) ).

fof(f21491,plain,
    ( spl0_870
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = 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))),subset_relation)
        | 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(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).

fof(f21412,plain,
    ( spl0_868
  <=> ! [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(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_class)
        | null_class = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).

fof(f21416,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = 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))),subset_relation)
        | 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(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_868 ),
    inference(forward_demodulation,[],[f21415,f2440]) ).

fof(f21415,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))),subset_relation)
        | 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(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = X3 )
    | ~ spl0_242
    | ~ spl0_868 ),
    inference(forward_demodulation,[],[f21413,f2440]) ).

fof(f21413,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))),null_class)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(regular(X3)))
        | null_class = X3 )
    | ~ spl0_868 ),
    inference(avatar_component_clause,[],[f21412]) ).

fof(f21453,plain,
    ( spl0_869
    | ~ spl0_242
    | ~ spl0_866 ),
    inference(avatar_split_clause,[],[f21406,f21402,f2438,f21451]) ).

fof(f21451,plain,
    ( spl0_869
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X3
        | ~ 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(X0,X0))),subset_relation)
        | 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))),rotate(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).

fof(f21402,plain,
    ( spl0_866
  <=> ! [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))),rotate(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_class)
        | null_class = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).

fof(f21406,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X3
        | ~ 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(X0,X0))),subset_relation)
        | 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))),rotate(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_866 ),
    inference(forward_demodulation,[],[f21405,f2440]) ).

fof(f21405,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(X0,X0))),subset_relation)
        | 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))),rotate(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = X3 )
    | ~ spl0_242
    | ~ spl0_866 ),
    inference(forward_demodulation,[],[f21403,f2440]) ).

fof(f21403,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(X0,X0))),null_class)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),rotate(regular(X3)))
        | null_class = X3 )
    | ~ spl0_866 ),
    inference(avatar_component_clause,[],[f21402]) ).

fof(f21414,plain,
    ( spl0_868
    | ~ spl0_111
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1893,f1854,f848,f21412]) ).

fof(f848,plain,
    ( spl0_111
  <=> ! [X0,X1] :
        ( ~ member(X1,null_class)
        | member(X1,regular(X0))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1893,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(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_class)
        | null_class = X3 )
    | ~ spl0_111
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f849]) ).

fof(f849,plain,
    ( ! [X0,X1] :
        ( member(X1,regular(X0))
        | ~ member(X1,null_class)
        | null_class = X0 )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f21410,plain,
    ( spl0_867
    | ~ spl0_112
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1889,f1854,f852,f21408]) ).

fof(f21408,plain,
    ( spl0_867
  <=> ! [X2,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(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).

fof(f1889,plain,
    ( ! [X2,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(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),identity_relation) )
    | ~ spl0_112
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f853]) ).

fof(f21404,plain,
    ( spl0_866
    | ~ spl0_111
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1874,f1850,f848,f21402]) ).

fof(f1874,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))),rotate(regular(X3)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_class)
        | null_class = X3 )
    | ~ spl0_111
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f849]) ).

fof(f21397,plain,
    ( spl0_865
    | ~ spl0_112
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1870,f1850,f852,f21395]) ).

fof(f21395,plain,
    ( spl0_865
  <=> ! [X2,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))),rotate(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).

fof(f1870,plain,
    ( ! [X2,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))),rotate(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),identity_relation) )
    | ~ spl0_112
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f853]) ).

fof(f21339,plain,
    ( spl0_864
    | ~ spl0_145
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1718,f1656,f1265,f21337]) ).

fof(f21337,plain,
    ( spl0_864
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),cross_product(universal_class,universal_class))
        | ~ function(X2)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).

fof(f1265,plain,
    ( spl0_145
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ subclass(universal_class,X2)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X1),universal_class)))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1718,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),cross_product(universal_class,universal_class))
        | ~ function(X2)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_145
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1266]) ).

fof(f1266,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X1),universal_class)))),X2)
        | ~ function(X1)
        | ~ subclass(universal_class,X2)
        | ~ member(X0,universal_class) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1265]) ).

fof(f21335,plain,
    ( spl0_863
    | ~ spl0_145
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1678,f1652,f1265,f21333]) ).

fof(f21333,plain,
    ( spl0_863
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),cross_product(universal_class,universal_class))
        | ~ function(X2)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).

fof(f1678,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X2),universal_class))))))),cross_product(universal_class,universal_class))
        | ~ function(X2)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_145
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1266]) ).

fof(f21331,plain,
    ( spl0_862
    | ~ spl0_76
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1293,f1265,f585,f21329]) ).

fof(f21329,plain,
    ( spl0_862
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X4,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).

fof(f1293,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ function(X0)
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | ~ member(X4,universal_class)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X4,universal_class),X0),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f586]) ).

fof(f21257,plain,
    ( spl0_861
    | ~ spl0_97
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1881,f1854,f723,f21255]) ).

fof(f21255,plain,
    ( spl0_861
  <=> ! [X2,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(cross_product(universal_class,universal_class)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).

fof(f1881,plain,
    ( ! [X2,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(cross_product(universal_class,universal_class)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f724]) ).

fof(f21253,plain,
    ( ~ spl0_860
    | ~ spl0_242
    | spl0_552 ),
    inference(avatar_split_clause,[],[f16156,f10796,f2438,f21250]) ).

fof(f21250,plain,
    ( spl0_860
  <=> member(regular(complement(subset_relation)),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).

fof(f16156,plain,
    ( ~ member(regular(complement(subset_relation)),subset_relation)
    | ~ spl0_242
    | spl0_552 ),
    inference(superposition,[],[f10798,f2440]) ).

fof(f21248,plain,
    ( spl0_859
    | ~ spl0_97
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1862,f1850,f723,f21246]) ).

fof(f21246,plain,
    ( spl0_859
  <=> ! [X2,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))),rotate(cross_product(universal_class,universal_class)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).

fof(f1862,plain,
    ( ! [X2,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))),rotate(cross_product(universal_class,universal_class)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f724]) ).

fof(f21180,plain,
    ( spl0_857
    | ~ spl0_242
    | ~ spl0_855 ),
    inference(avatar_split_clause,[],[f21179,f21159,f2438,f21171]) ).

fof(f21159,plain,
    ( spl0_855
  <=> null_class = domain_of(domain_of(flip(cross_product(null_class,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).

fof(f21179,plain,
    ( subset_relation = domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_242
    | ~ spl0_855 ),
    inference(forward_demodulation,[],[f21161,f2440]) ).

fof(f21161,plain,
    ( null_class = domain_of(domain_of(flip(cross_product(null_class,universal_class))))
    | ~ spl0_855 ),
    inference(avatar_component_clause,[],[f21159]) ).

fof(f21178,plain,
    ( spl0_858
    | ~ spl0_242
    | ~ spl0_856 ),
    inference(avatar_split_clause,[],[f21168,f21163,f2438,f21176]) ).

fof(f21163,plain,
    ( spl0_856
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).

fof(f21168,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_856 ),
    inference(forward_demodulation,[],[f21167,f2440]) ).

fof(f21167,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) )
    | ~ spl0_242
    | ~ spl0_856 ),
    inference(forward_demodulation,[],[f21166,f2440]) ).

fof(f21166,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))),regular(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) )
    | ~ spl0_242
    | ~ spl0_856 ),
    inference(forward_demodulation,[],[f21164,f2440]) ).

fof(f21164,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_856 ),
    inference(avatar_component_clause,[],[f21163]) ).

fof(f21174,plain,
    ( ~ spl0_857
    | ~ spl0_242
    | spl0_855 ),
    inference(avatar_split_clause,[],[f21169,f21159,f2438,f21171]) ).

fof(f21169,plain,
    ( subset_relation != domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_242
    | spl0_855 ),
    inference(forward_demodulation,[],[f21160,f2440]) ).

fof(f21160,plain,
    ( null_class != domain_of(domain_of(flip(cross_product(null_class,universal_class))))
    | spl0_855 ),
    inference(avatar_component_clause,[],[f21159]) ).

fof(f21165,plain,
    ( spl0_855
    | spl0_856
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1908,f1898,f326,f21163,f21159]) ).

fof(f1908,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(null_class,universal_class))))),regular(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | null_class = domain_of(domain_of(flip(cross_product(null_class,universal_class))))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(superposition,[],[f1899,f327]) ).

fof(f21131,plain,
    ( spl0_854
    | ~ spl0_242
    | ~ spl0_853 ),
    inference(avatar_split_clause,[],[f21127,f21123,f2438,f21129]) ).

fof(f21129,plain,
    ( spl0_854
  <=> ! [X0] :
        ( subset_relation = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class)
        | subset_relation = X0
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).

fof(f21123,plain,
    ( spl0_853
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).

fof(f21127,plain,
    ( ! [X0] :
        ( subset_relation = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class)
        | subset_relation = X0
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_853 ),
    inference(forward_demodulation,[],[f21126,f2440]) ).

fof(f21126,plain,
    ( ! [X0] :
        ( subset_relation = X0
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_853 ),
    inference(forward_demodulation,[],[f21124,f2440]) ).

fof(f21124,plain,
    ( ! [X0] :
        ( ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | null_class = X0
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class) )
    | ~ spl0_853 ),
    inference(avatar_component_clause,[],[f21123]) ).

fof(f21125,plain,
    ( spl0_853
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1466,f1451,f1135,f21123]) ).

fof(f1466,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))))),universal_class) )
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f1136]) ).

fof(f21105,plain,
    ( spl0_852
    | ~ spl0_242
    | ~ spl0_850 ),
    inference(avatar_split_clause,[],[f21096,f21092,f2438,f21103]) ).

fof(f21103,plain,
    ( spl0_852
  <=> ! [X0] :
        ( subset_relation = complement(domain_of(X0))
        | subset_relation = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).

fof(f21092,plain,
    ( spl0_850
  <=> ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class))
        | null_class = complement(domain_of(X0))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).

fof(f21096,plain,
    ( ! [X0] :
        ( subset_relation = complement(domain_of(X0))
        | subset_relation = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_850 ),
    inference(forward_demodulation,[],[f21095,f2440]) ).

fof(f21095,plain,
    ( ! [X0] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class))
        | null_class = complement(domain_of(X0))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class) )
    | ~ spl0_242
    | ~ spl0_850 ),
    inference(forward_demodulation,[],[f21093,f2440]) ).

fof(f21093,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class)
        | null_class = complement(domain_of(X0))
        | ~ member(complement(domain_of(X0)),universal_class)
        | null_class = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class)) )
    | ~ spl0_850 ),
    inference(avatar_component_clause,[],[f21092]) ).

fof(f21100,plain,
    ( spl0_851
    | ~ spl0_158
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1589,f1572,f1390,f21098]) ).

fof(f1390,plain,
    ( spl0_158
  <=> ! [X0] :
        ( member(X0,subset_relation)
        | ~ member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1589,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_158
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f1391]) ).

fof(f1391,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f21094,plain,
    ( spl0_850
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1487,f1470,f490,f390,f21092]) ).

fof(f1470,plain,
    ( spl0_166
  <=> ! [X0] :
        ( ~ member(complement(X0),universal_class)
        | complement(X0) = null_class
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1487,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class))
        | null_class = complement(domain_of(X0))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class) )
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f1482,f391]) ).

fof(f1482,plain,
    ( ! [X0] :
        ( null_class = complement(domain_of(X0))
        | ~ member(complement(domain_of(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(X0)),complement(domain_of(X0))),universal_class)),universal_class)))))))),universal_class),X0) )
    | ~ spl0_61
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f491]) ).

fof(f1471,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))))),X0)
        | complement(X0) = null_class
        | ~ member(complement(X0),universal_class) )
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f21019,plain,
    ( spl0_849
    | ~ spl0_242
    | ~ spl0_847 ),
    inference(avatar_split_clause,[],[f21011,f21008,f2438,f21017]) ).

fof(f21017,plain,
    ( spl0_849
  <=> ! [X0] :
        ( subset_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)
        | ~ member(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).

fof(f21008,plain,
    ( spl0_847
  <=> ! [X0] :
        ( null_class = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)
        | ~ member(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).

fof(f21011,plain,
    ( ! [X0] :
        ( subset_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)
        | ~ member(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_242
    | ~ spl0_847 ),
    inference(forward_demodulation,[],[f21009,f2440]) ).

fof(f21009,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),subset_relation)
        | ~ member(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),universal_class)
        | null_class = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_847 ),
    inference(avatar_component_clause,[],[f21008]) ).

fof(f21015,plain,
    ( spl0_848
    | ~ spl0_242
    | ~ spl0_846 ),
    inference(avatar_split_clause,[],[f21006,f21003,f2438,f21013]) ).

fof(f21013,plain,
    ( spl0_848
  <=> ! [X0] :
        ( subset_relation = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).

fof(f21003,plain,
    ( spl0_846
  <=> ! [X0] :
        ( null_class = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).

fof(f21006,plain,
    ( ! [X0] :
        ( subset_relation = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_242
    | ~ spl0_846 ),
    inference(forward_demodulation,[],[f21004,f2440]) ).

fof(f21004,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),subset_relation)
        | ~ member(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
        | null_class = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_846 ),
    inference(avatar_component_clause,[],[f21003]) ).

fof(f21010,plain,
    ( spl0_847
    | ~ spl0_125
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1528,f1493,f1028,f21008]) ).

fof(f1528,plain,
    ( ! [X0] :
        ( null_class = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)
        | ~ member(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_125
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f1029]) ).

fof(f21005,plain,
    ( spl0_846
    | ~ spl0_125
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1507,f1489,f1028,f21003]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_125
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f1029]) ).

fof(f21000,plain,
    ( spl0_549
    | spl0_845
    | ~ spl0_68
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1287,f1265,f540,f20998,f10711]) ).

fof(f10711,plain,
    ( spl0_549
  <=> ! [X0,X1] : ~ subclass(universal_class,cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f20998,plain,
    ( spl0_845
  <=> ! [X0,X3] :
        ( ~ function(X0)
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = unordered_pair(unordered_pair(first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))))),unordered_pair(first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),unordered_pair(second(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),second(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))))))
        | ~ member(X3,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).

fof(f1287,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,cross_product(X1,X2))
        | ~ member(X3,universal_class)
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = unordered_pair(unordered_pair(first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))))),unordered_pair(first(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),unordered_pair(second(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class))))),second(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))))))) )
    | ~ spl0_68
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f541]) ).

fof(f20730,plain,
    ( spl0_844
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_843 ),
    inference(avatar_split_clause,[],[f20726,f20723,f19719,f2438,f1257,f20728]) ).

fof(f20728,plain,
    ( spl0_844
  <=> ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).

fof(f20725,plain,
    ( spl0_843
    | ~ spl0_242
    | ~ spl0_739 ),
    inference(avatar_split_clause,[],[f19576,f17430,f2438,f20723]) ).

fof(f17430,plain,
    ( spl0_739
  <=> ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).

fof(f19576,plain,
    ( ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f19575,f2440]) ).

fof(f19575,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f17433,f2440]) ).

fof(f17433,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f17431,f2440]) ).

fof(f17431,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_739 ),
    inference(avatar_component_clause,[],[f17430]) ).

fof(f20699,plain,
    ( spl0_842
    | ~ spl0_82
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17975,f11495,f627,f20697]) ).

fof(f20697,plain,
    ( spl0_842
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),domain_of(X1))
        | ~ homomorphism(X2,X1,X3)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),universal_class),X1),universal_class)))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).

fof(f17975,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),domain_of(X1))
        | ~ homomorphism(X2,X1,X3)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),universal_class),X1),universal_class)))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_594 ),
    inference(superposition,[],[f628,f11496]) ).

fof(f20677,plain,
    ( spl0_841
    | ~ spl0_191
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18163,f11495,f2438,f1928,f20675]) ).

fof(f20675,plain,
    ( spl0_841
  <=> ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X0))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).

fof(f18163,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X0))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_191
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17999,f2440]) ).

fof(f17999,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),universal_class)),universal_class)))))))))),compose(X1,X0))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))) )
    | ~ spl0_191
    | ~ spl0_594 ),
    inference(superposition,[],[f1929,f11496]) ).

fof(f20657,plain,
    ( spl0_840
    | ~ spl0_82
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17974,f11495,f627,f20655]) ).

fof(f20655,plain,
    ( spl0_840
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),domain_of(X1))
        | ~ homomorphism(X2,X1,X3)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),universal_class),X1),universal_class)))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).

fof(f17974,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),domain_of(X1))
        | ~ homomorphism(X2,X1,X3)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),universal_class),X1),universal_class)))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class))))))))))),universal_class),X3),universal_class))))))) )
    | ~ spl0_82
    | ~ spl0_594 ),
    inference(superposition,[],[f628,f11496]) ).

fof(f20619,plain,
    ( spl0_839
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_838 ),
    inference(avatar_split_clause,[],[f20615,f20612,f19719,f2438,f1257,f20617]) ).

fof(f20617,plain,
    ( spl0_839
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).

fof(f20612,plain,
    ( spl0_838
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).

fof(f20615,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_838 ),
    inference(forward_demodulation,[],[f20613,f19738]) ).

fof(f20613,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_838 ),
    inference(avatar_component_clause,[],[f20612]) ).

fof(f20614,plain,
    ( spl0_838
    | ~ spl0_242
    | ~ spl0_720 ),
    inference(avatar_split_clause,[],[f19589,f16675,f2438,f20612]) ).

fof(f16675,plain,
    ( spl0_720
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f19589,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_720 ),
    inference(forward_demodulation,[],[f16678,f2440]) ).

fof(f16678,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_720 ),
    inference(forward_demodulation,[],[f16676,f2440]) ).

fof(f16676,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_720 ),
    inference(avatar_component_clause,[],[f16675]) ).

fof(f20565,plain,
    ( spl0_837
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_835 ),
    inference(avatar_split_clause,[],[f20556,f20552,f19719,f2438,f1257,f20563]) ).

fof(f20563,plain,
    ( spl0_837
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(subset_relation,universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(X1,subset_relation)
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).

fof(f20552,plain,
    ( spl0_835
  <=> ! [X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).

fof(f20556,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(subset_relation,universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(X1,subset_relation)
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_835 ),
    inference(forward_demodulation,[],[f20555,f19738]) ).

fof(f20555,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,subset_relation)
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_143
    | ~ spl0_242
    | spl0_812
    | ~ spl0_835 ),
    inference(forward_demodulation,[],[f20553,f19738]) ).

fof(f20553,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_835 ),
    inference(avatar_component_clause,[],[f20552]) ).

fof(f20561,plain,
    ( spl0_836
    | ~ spl0_143
    | ~ spl0_242
    | spl0_795 ),
    inference(avatar_split_clause,[],[f19041,f18986,f2438,f1257,f20558]) ).

fof(f20558,plain,
    ( spl0_836
  <=> subset_relation = domain_of(u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).

fof(f18986,plain,
    ( spl0_795
  <=> member(u,domain_of(u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).

fof(f19041,plain,
    ( subset_relation = domain_of(u)
    | ~ spl0_143
    | ~ spl0_242
    | spl0_795 ),
    inference(forward_demodulation,[],[f19037,f2440]) ).

fof(f19037,plain,
    ( null_class = domain_of(u)
    | ~ spl0_143
    | spl0_795 ),
    inference(resolution,[],[f18988,f1258]) ).

fof(f18988,plain,
    ( ~ member(u,domain_of(u))
    | spl0_795 ),
    inference(avatar_component_clause,[],[f18986]) ).

fof(f20554,plain,
    ( spl0_835
    | ~ spl0_242
    | ~ spl0_714 ),
    inference(avatar_split_clause,[],[f19596,f16517,f2438,f20552]) ).

fof(f16517,plain,
    ( spl0_714
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(null_class,universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f19596,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_714 ),
    inference(forward_demodulation,[],[f19595,f2440]) ).

fof(f19595,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(null_class,universal_class))))) )
    | ~ spl0_242
    | ~ spl0_714 ),
    inference(forward_demodulation,[],[f19594,f2440]) ).

fof(f19594,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(null_class,universal_class))))) )
    | ~ spl0_242
    | ~ spl0_714 ),
    inference(forward_demodulation,[],[f16518,f2440]) ).

fof(f16518,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(null_class,universal_class))))) )
    | ~ spl0_714 ),
    inference(avatar_component_clause,[],[f16517]) ).

fof(f20545,plain,
    ( ~ spl0_834
    | spl0_184
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18111,f11495,f2438,f1836,f20542]) ).

fof(f20542,plain,
    ( spl0_834
  <=> member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),unordered_pair(complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))))),complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))))))))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).

fof(f1836,plain,
    ( spl0_184
  <=> member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f18111,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),unordered_pair(complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))))),complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))))))))),cross_product(universal_class,universal_class))
    | spl0_184
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17880,f2440]) ).

fof(f17880,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),cross_product(universal_class,universal_class))
    | spl0_184
    | ~ spl0_594 ),
    inference(superposition,[],[f1838,f11496]) ).

fof(f1838,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),cross_product(universal_class,universal_class))
    | spl0_184 ),
    inference(avatar_component_clause,[],[f1836]) ).

fof(f20537,plain,
    ( ~ spl0_833
    | spl0_183
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18110,f11495,f2438,f1832,f20534]) ).

fof(f20534,plain,
    ( spl0_833
  <=> member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),unordered_pair(complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))))),complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))))))))),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).

fof(f1832,plain,
    ( spl0_183
  <=> member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f18110,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),unordered_pair(complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))))),complement(intersection(subset_relation,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))))))))),successor_relation)
    | spl0_183
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17879,f2440]) ).

fof(f17879,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),successor_relation)
    | spl0_183
    | ~ spl0_594 ),
    inference(superposition,[],[f1833,f11496]) ).

fof(f1833,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),successor_relation)
    | spl0_183 ),
    inference(avatar_component_clause,[],[f1832]) ).

fof(f20509,plain,
    ( spl0_832
    | ~ spl0_189
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17998,f11495,f1911,f20507]) ).

fof(f20507,plain,
    ( spl0_832
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,X0))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).

fof(f17998,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2)))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2)))),compose(X1,X0))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))),X2) )
    | ~ spl0_189
    | ~ spl0_594 ),
    inference(superposition,[],[f1912,f11496]) ).

fof(f20483,plain,
    ( spl0_831
    | ~ spl0_188
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18162,f11495,f2438,f1898,f20481]) ).

fof(f20481,plain,
    ( spl0_831
  <=> ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).

fof(f18162,plain,
    ( ! [X0,X1] :
        ( subset_relation = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,X0)) )
    | ~ spl0_188
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17997,f2440]) ).

fof(f17997,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))))),compose(X1,X0))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))) )
    | ~ spl0_188
    | ~ spl0_594 ),
    inference(superposition,[],[f1899,f11496]) ).

fof(f20451,plain,
    ( ~ spl0_830
    | ~ spl0_242
    | spl0_411 ),
    inference(avatar_split_clause,[],[f16132,f7075,f2438,f20448]) ).

fof(f20448,plain,
    ( spl0_830
  <=> subset_relation = complement(subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).

fof(f16132,plain,
    ( subset_relation != complement(subset_relation)
    | ~ spl0_242
    | spl0_411 ),
    inference(superposition,[],[f7077,f2440]) ).

fof(f7077,plain,
    ( null_class != complement(null_class)
    | spl0_411 ),
    inference(avatar_component_clause,[],[f7075]) ).

fof(f20446,plain,
    ( spl0_829
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17973,f11495,f621,f20444]) ).

fof(f20444,plain,
    ( spl0_829
  <=> ! [X2,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))),subset_relation)),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))),subset_relation)),flip(X2))
        | ~ 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))),subset_relation)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).

fof(f17973,plain,
    ( ! [X2,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))),subset_relation)),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))),subset_relation)),flip(X2))
        | ~ 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))),subset_relation)),X2) )
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(superposition,[],[f622,f11496]) ).

fof(f20414,plain,
    ( spl0_828
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17970,f11495,f615,f20412]) ).

fof(f20412,plain,
    ( spl0_828
  <=> ! [X2,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))),subset_relation)),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))),subset_relation)),rotate(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).

fof(f17970,plain,
    ( ! [X2,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))),subset_relation)),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))),subset_relation)),rotate(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),X2) )
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(superposition,[],[f616,f11496]) ).

fof(f20394,plain,
    ( spl0_827
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17968,f11495,f615,f20392]) ).

fof(f20392,plain,
    ( spl0_827
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | ~ 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))),subset_relation)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).

fof(f17968,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | ~ 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))),subset_relation)),X2) )
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(superposition,[],[f616,f11496]) ).

fof(f20342,plain,
    ( spl0_826
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17972,f11495,f621,f20340]) ).

fof(f20340,plain,
    ( spl0_826
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).

fof(f17972,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2) )
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(superposition,[],[f622,f11496]) ).

fof(f20338,plain,
    ( spl0_825
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17971,f11495,f621,f20336]) ).

fof(f20336,plain,
    ( spl0_825
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).

fof(f17971,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2) )
    | ~ spl0_81
    | ~ spl0_594 ),
    inference(superposition,[],[f622,f11496]) ).

fof(f20334,plain,
    ( spl0_824
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17969,f11495,f615,f20332]) ).

fof(f20332,plain,
    ( spl0_824
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),rotate(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).

fof(f17969,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),rotate(X2))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X2) )
    | ~ spl0_80
    | ~ spl0_594 ),
    inference(superposition,[],[f616,f11496]) ).

fof(f20267,plain,
    ( ~ spl0_1
    | spl0_823
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17996,f11495,f1854,f20265,f170]) ).

fof(f20265,plain,
    ( spl0_823
  <=> ! [X2,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))),subset_relation)),X2)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(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))),subset_relation)),flip(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).

fof(f17996,plain,
    ( ! [X2,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))),subset_relation)),X2)
        | 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))),subset_relation)),flip(X2))
        | ~ member(u,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(superposition,[],[f1855,f11496]) ).

fof(f20185,plain,
    ( ~ spl0_1
    | spl0_822
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17993,f11495,f1850,f20183,f170]) ).

fof(f20183,plain,
    ( spl0_822
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(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))),subset_relation)),rotate(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).

fof(f17993,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2)
        | 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))),subset_relation)),rotate(X2))
        | ~ member(u,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(superposition,[],[f1851,f11496]) ).

fof(f20119,plain,
    ( spl0_821
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17991,f11495,f1850,f20117]) ).

fof(f20117,plain,
    ( spl0_821
  <=> ! [X2,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))),subset_relation)),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).

fof(f17991,plain,
    ( ! [X2,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))),subset_relation)),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(superposition,[],[f1851,f11496]) ).

fof(f19937,plain,
    ( spl0_820
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17995,f11495,f1854,f19935]) ).

fof(f19935,plain,
    ( spl0_820
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).

fof(f17995,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(superposition,[],[f1855,f11496]) ).

fof(f19933,plain,
    ( spl0_819
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17994,f11495,f1854,f19931]) ).

fof(f19931,plain,
    ( spl0_819
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).

fof(f17994,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_187
    | ~ spl0_594 ),
    inference(superposition,[],[f1855,f11496]) ).

fof(f19929,plain,
    ( spl0_818
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17992,f11495,f1850,f19927]) ).

fof(f19927,plain,
    ( spl0_818
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),rotate(X2))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).

fof(f17992,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),rotate(X2))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_186
    | ~ spl0_594 ),
    inference(superposition,[],[f1851,f11496]) ).

fof(f19900,plain,
    ( spl0_817
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17967,f11495,f611,f19898]) ).

fof(f19898,plain,
    ( spl0_817
  <=> ! [X2,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))),subset_relation)),flip(X2))
        | 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))),subset_relation)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).

fof(f17967,plain,
    ( ! [X2,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))),subset_relation)),flip(X2))
        | 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))),subset_relation)),X2) )
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(superposition,[],[f612,f11496]) ).

fof(f19746,plain,
    ( spl0_816
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17964,f11495,f607,f19744]) ).

fof(f19744,plain,
    ( spl0_816
  <=> ! [X2,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))),subset_relation)),rotate(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).

fof(f17964,plain,
    ( ! [X2,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))),subset_relation)),rotate(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,subset_relation)),unordered_pair(X0,X0))),X2) )
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(superposition,[],[f608,f11496]) ).

fof(f19742,plain,
    ( spl0_815
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17962,f11495,f607,f19740]) ).

fof(f19740,plain,
    ( spl0_815
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | 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))),subset_relation)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).

fof(f17962,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X2))
        | 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))),subset_relation)),X2) )
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(superposition,[],[f608,f11496]) ).

fof(f19730,plain,
    ( ~ spl0_814
    | ~ spl0_242
    | spl0_532 ),
    inference(avatar_split_clause,[],[f16153,f10335,f2438,f19727]) ).

fof(f16153,plain,
    ( ~ subclass(subset_relation,complement(subset_relation))
    | ~ spl0_242
    | spl0_532 ),
    inference(superposition,[],[f10337,f2440]) ).

fof(f19725,plain,
    ( ~ spl0_812
    | spl0_813
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18161,f11495,f2438,f1772,f19723,f19719]) ).

fof(f19723,plain,
    ( spl0_813
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).

fof(f18161,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18160,f2440]) ).

fof(f18160,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17990,f2440]) ).

fof(f17990,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(u,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_594 ),
    inference(superposition,[],[f1773,f11496]) ).

fof(f19678,plain,
    ( spl0_811
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17966,f11495,f611,f19676]) ).

fof(f19676,plain,
    ( spl0_811
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).

fof(f17966,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),flip(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2) )
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(superposition,[],[f612,f11496]) ).

fof(f19674,plain,
    ( spl0_810
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17965,f11495,f611,f19672]) ).

fof(f19672,plain,
    ( spl0_810
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).

fof(f17965,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),unordered_pair(X1,X1))),flip(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),X2) )
    | ~ spl0_79
    | ~ spl0_594 ),
    inference(superposition,[],[f612,f11496]) ).

fof(f19670,plain,
    ( spl0_809
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17963,f11495,f607,f19668]) ).

fof(f19668,plain,
    ( spl0_809
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),rotate(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).

fof(f17963,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),unordered_pair(X1,X1))),rotate(X2))
        | member(unordered_pair(unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X2) )
    | ~ spl0_78
    | ~ spl0_594 ),
    inference(superposition,[],[f608,f11496]) ).

fof(f19648,plain,
    ( spl0_808
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18159,f11495,f2438,f1772,f19646]) ).

fof(f19646,plain,
    ( spl0_808
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).

fof(f18159,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18158,f2440]) ).

fof(f18158,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17989,f2440]) ).

fof(f17989,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_181
    | ~ spl0_594 ),
    inference(superposition,[],[f1773,f11496]) ).

fof(f19631,plain,
    ( spl0_807
    | ~ spl0_242
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f16128,f6731,f2438,f19628]) ).

fof(f6731,plain,
    ( spl0_398
  <=> member(null_class,complement(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f16128,plain,
    ( member(subset_relation,complement(subset_relation))
    | ~ spl0_242
    | ~ spl0_398 ),
    inference(superposition,[],[f6733,f2440]) ).

fof(f6733,plain,
    ( member(null_class,complement(null_class))
    | ~ spl0_398 ),
    inference(avatar_component_clause,[],[f6731]) ).

fof(f19617,plain,
    ( spl0_806
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f19569,f11495,f2438,f1740,f19615]) ).

fof(f19615,plain,
    ( spl0_806
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).

fof(f19569,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18153,f2440]) ).

fof(f18153,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17986,f2440]) ).

fof(f19605,plain,
    ( ~ spl0_1
    | spl0_805
    | ~ spl0_180
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18157,f11495,f2438,f1762,f19603,f170]) ).

fof(f19603,plain,
    ( spl0_805
  <=> ! [X2,X0,X1] :
        ( subset_relation = intersection(cross_product(subset_relation,universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).

fof(f18157,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = intersection(cross_product(subset_relation,universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,X2))
        | ~ member(u,universal_class) )
    | ~ spl0_180
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17988,f2440]) ).

fof(f17988,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,X2))
        | ~ member(u,universal_class)
        | null_class = intersection(cross_product(subset_relation,universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class)))) )
    | ~ spl0_180
    | ~ spl0_594 ),
    inference(superposition,[],[f1763,f11496]) ).

fof(f19601,plain,
    ( spl0_804
    | ~ spl0_180
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18156,f11495,f2438,f1762,f19599]) ).

fof(f19599,plain,
    ( spl0_804
  <=> ! [X2,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).

fof(f18156,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class),X1),universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | ~ member(X0,universal_class) )
    | ~ spl0_180
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17987,f2440]) ).

fof(f17987,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class),X1),universal_class)))) )
    | ~ spl0_180
    | ~ spl0_594 ),
    inference(superposition,[],[f1763,f11496]) ).

fof(f19562,plain,
    ( spl0_803
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(avatar_split_clause,[],[f18155,f16527,f11495,f2438,f1740,f19560]) ).

fof(f19560,plain,
    ( spl0_803
  <=> ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).

fof(f16527,plain,
    ( spl0_716
  <=> subset_relation = cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f18155,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(u,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class)) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(forward_demodulation,[],[f18154,f2440]) ).

fof(f18154,plain,
    ( ! [X0,X1] :
        ( ~ member(u,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(forward_demodulation,[],[f18153,f16529]) ).

fof(f16529,plain,
    ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
    | ~ spl0_716 ),
    inference(avatar_component_clause,[],[f16527]) ).

fof(f19035,plain,
    ( spl0_802
    | ~ spl0_176
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17984,f11495,f1656,f19033]) ).

fof(f19033,plain,
    ( spl0_802
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).

fof(f17984,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_176
    | ~ spl0_594 ),
    inference(superposition,[],[f1657,f11496]) ).

fof(f19031,plain,
    ( spl0_801
    | ~ spl0_175
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17983,f11495,f1652,f19029]) ).

fof(f19029,plain,
    ( spl0_801
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(subset_relation,universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).

fof(f17983,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(subset_relation,universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_175
    | ~ spl0_594 ),
    inference(superposition,[],[f1653,f11496]) ).

fof(f19015,plain,
    ( spl0_800
    | ~ spl0_768
    | ~ spl0_799 ),
    inference(avatar_split_clause,[],[f19011,f19008,f18265,f19013]) ).

fof(f19008,plain,
    ( spl0_799
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).

fof(f19011,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_768
    | ~ spl0_799 ),
    inference(forward_demodulation,[],[f19009,f18267]) ).

fof(f18267,plain,
    ( subset_relation = cross_product(subset_relation,universal_class)
    | ~ spl0_768 ),
    inference(avatar_component_clause,[],[f18265]) ).

fof(f19009,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_799 ),
    inference(avatar_component_clause,[],[f19008]) ).

fof(f19010,plain,
    ( spl0_799
    | ~ spl0_76
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17960,f11495,f585,f19008]) ).

fof(f17960,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X2,X1))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_594 ),
    inference(superposition,[],[f586,f11496]) ).

fof(f19003,plain,
    ( ~ spl0_797
    | spl0_798
    | ~ spl0_173
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18149,f11495,f2438,f1614,f19001,f18997]) ).

fof(f19001,plain,
    ( spl0_798
  <=> ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),compose(X1,X0))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).

fof(f18149,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),compose(X1,X0))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_173
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18148,f2440]) ).

fof(f18148,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(subset_relation,subset_relation))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(null_class,null_class))),compose(X1,X0)) )
    | ~ spl0_173
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17982,f2440]) ).

fof(f17982,plain,
    ( ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X0),universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(null_class,null_class))),compose(X1,X0)) )
    | ~ spl0_173
    | ~ spl0_594 ),
    inference(superposition,[],[f1615,f11496]) ).

fof(f18994,plain,
    ( ~ spl0_796
    | ~ spl0_242
    | spl0_425 ),
    inference(avatar_split_clause,[],[f17871,f7172,f2438,f18991]) ).

fof(f17871,plain,
    ( ~ member(unordered_pair(first(subset_relation),unordered_pair(second(subset_relation),second(subset_relation))),subset_relation)
    | ~ spl0_242
    | spl0_425 ),
    inference(forward_demodulation,[],[f7173,f2440]) ).

fof(f7173,plain,
    ( ~ member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),null_class)
    | spl0_425 ),
    inference(avatar_component_clause,[],[f7172]) ).

fof(f18989,plain,
    ( ~ spl0_795
    | ~ spl0_518
    | spl0_767
    | ~ spl0_768 ),
    inference(avatar_split_clause,[],[f18982,f18265,f18261,f10109,f18986]) ).

fof(f18982,plain,
    ( ~ member(u,domain_of(u))
    | ~ spl0_518
    | spl0_767
    | ~ spl0_768 ),
    inference(forward_demodulation,[],[f18892,f10111]) ).

fof(f18892,plain,
    ( ~ member(u,domain_of(regular(subset_relation)))
    | spl0_767
    | ~ spl0_768 ),
    inference(superposition,[],[f18263,f18267]) ).

fof(f18857,plain,
    ( spl0_794
    | spl0_768
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(avatar_split_clause,[],[f18152,f16527,f11495,f2438,f1740,f18265,f18855]) ).

fof(f18855,plain,
    ( spl0_794
  <=> ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).

fof(f18152,plain,
    ( ! [X0,X1] :
        ( subset_relation = cross_product(subset_relation,universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(forward_demodulation,[],[f18151,f2440]) ).

fof(f18151,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(subset_relation,universal_class) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594
    | ~ spl0_716 ),
    inference(forward_demodulation,[],[f18150,f16529]) ).

fof(f18150,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X1),universal_class)))))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(subset_relation,universal_class) )
    | ~ spl0_177
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17985,f2440]) ).

fof(f17985,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,regular(cross_product(subset_relation,universal_class))))
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(subset_relation,universal_class) )
    | ~ spl0_177
    | ~ spl0_594 ),
    inference(superposition,[],[f1741,f11496]) ).

fof(f18850,plain,
    ( spl0_790
    | ~ spl0_793
    | ~ spl0_77
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17961,f11495,f601,f18847,f18824]) ).

fof(f18824,plain,
    ( spl0_790
  <=> member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(complement(intersection(complement(u),complement(subset_relation))),complement(intersection(complement(u),complement(subset_relation)))))),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).

fof(f18847,plain,
    ( spl0_793
  <=> member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(complement(intersection(complement(u),complement(subset_relation))),complement(intersection(complement(u),complement(subset_relation)))))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).

fof(f601,plain,
    ( spl0_77
  <=> ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f17961,plain,
    ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(complement(intersection(complement(u),complement(subset_relation))),complement(intersection(complement(u),complement(subset_relation)))))),cross_product(universal_class,universal_class))
    | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(complement(intersection(complement(u),complement(subset_relation))),complement(intersection(complement(u),complement(subset_relation)))))),successor_relation)
    | ~ spl0_77
    | ~ spl0_594 ),
    inference(superposition,[],[f602,f11496]) ).

fof(f602,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f18840,plain,
    ( spl0_792
    | ~ spl0_73
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17959,f11495,f572,f18838]) ).

fof(f18838,plain,
    ( spl0_792
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,X2))
        | member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).

fof(f17959,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),compose(X1,X2))
        | member(u,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_594 ),
    inference(superposition,[],[f573,f11496]) ).

fof(f18832,plain,
    ( spl0_791
    | ~ spl0_73
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17958,f11495,f572,f18830]) ).

fof(f18830,plain,
    ( spl0_791
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).

fof(f17958,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),compose(X1,X2))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(subset_relation,universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_594 ),
    inference(superposition,[],[f573,f11496]) ).

fof(f18827,plain,
    ( ~ spl0_1
    | ~ spl0_789
    | spl0_790
    | ~ spl0_169
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17981,f11495,f1537,f18824,f18820,f170]) ).

fof(f17981,plain,
    ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(complement(intersection(complement(u),complement(subset_relation))),complement(intersection(complement(u),complement(subset_relation)))))),successor_relation)
    | ~ member(complement(intersection(complement(u),complement(subset_relation))),universal_class)
    | ~ member(u,universal_class)
    | ~ spl0_169
    | ~ spl0_594 ),
    inference(superposition,[],[f1538,f11496]) ).

fof(f18651,plain,
    ( spl0_788
    | ~ spl0_93
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18107,f11495,f2438,f702,f18649]) ).

fof(f18649,plain,
    ( spl0_788
  <=> ! [X0] :
        ( member(X0,subset_relation)
        | member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).

fof(f18107,plain,
    ( ! [X0] :
        ( member(X0,subset_relation)
        | member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))
        | ~ member(X0,universal_class) )
    | ~ spl0_93
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18106,f2440]) ).

fof(f18106,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))
        | member(X0,null_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_93
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17875,f2440]) ).

fof(f17875,plain,
    ( ! [X0] :
        ( member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | member(X0,null_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_93
    | ~ spl0_594 ),
    inference(superposition,[],[f703,f11496]) ).

fof(f18516,plain,
    ( spl0_787
    | ~ spl0_90
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18105,f11495,f2438,f675,f18514]) ).

fof(f18514,plain,
    ( spl0_787
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | ~ member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).

fof(f675,plain,
    ( spl0_90
  <=> ! [X0] :
        ( ~ member(X0,null_class)
        | ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f18105,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | ~ member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))) )
    | ~ spl0_90
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f18104,f2440]) ).

fof(f18104,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))
        | ~ member(X0,null_class) )
    | ~ spl0_90
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17874,f2440]) ).

fof(f17874,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,null_class) )
    | ~ spl0_90
    | ~ spl0_594 ),
    inference(superposition,[],[f676,f11496]) ).

fof(f676,plain,
    ( ! [X0] :
        ( ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,null_class) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f18491,plain,
    ( ~ spl0_1
    | spl0_785
    | spl0_786
    | ~ spl0_71
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18144,f11495,f2438,f557,f18488,f18484,f170]) ).

fof(f18144,plain,
    ( subset_relation = u
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),u)
    | ~ member(u,universal_class)
    | ~ spl0_71
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17955,f2440]) ).

fof(f17955,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(subset_relation,universal_class)),universal_class))))))),u)
    | ~ member(u,universal_class)
    | null_class = u
    | ~ spl0_71
    | ~ spl0_594 ),
    inference(superposition,[],[f558,f11496]) ).

fof(f18482,plain,
    ( ~ spl0_784
    | ~ spl0_242
    | spl0_599 ),
    inference(avatar_split_clause,[],[f16175,f11594,f2438,f18479]) ).

fof(f16175,plain,
    ( ~ member(second(subset_relation),universal_class)
    | ~ spl0_242
    | spl0_599 ),
    inference(superposition,[],[f11596,f2440]) ).

fof(f18477,plain,
    ( spl0_783
    | ~ spl0_72
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17957,f11495,f567,f18475]) ).

fof(f18475,plain,
    ( spl0_783
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | ~ member(X0,u) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).

fof(f17957,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | ~ member(X0,u) )
    | ~ spl0_72
    | ~ spl0_594 ),
    inference(superposition,[],[f568,f11496]) ).

fof(f18473,plain,
    ( spl0_782
    | ~ spl0_72
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17956,f11495,f567,f18471]) ).

fof(f17956,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(u,X0) )
    | ~ spl0_72
    | ~ spl0_594 ),
    inference(superposition,[],[f568,f11496]) ).

fof(f18425,plain,
    ( spl0_781
    | ~ spl0_14
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18103,f11495,f2438,f228,f18422]) ).

fof(f18422,plain,
    ( spl0_781
  <=> subset_relation = complement(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).

fof(f18103,plain,
    ( subset_relation = complement(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))))
    | ~ spl0_14
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17873,f2440]) ).

fof(f17873,plain,
    ( null_class = complement(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_14
    | ~ spl0_594 ),
    inference(superposition,[],[f230,f11496]) ).

fof(f18420,plain,
    ( ~ spl0_780
    | spl0_99
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18109,f11495,f2438,f777,f18417]) ).

fof(f18417,plain,
    ( spl0_780
  <=> member(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).

fof(f777,plain,
    ( spl0_99
  <=> member(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f18109,plain,
    ( ~ member(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(subset_relation)))))))),universal_class)
    | spl0_99
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17877,f2440]) ).

fof(f17877,plain,
    ( ~ member(intersection(complement(subset_relation),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),universal_class)
    | spl0_99
    | ~ spl0_594 ),
    inference(superposition,[],[f779,f11496]) ).

fof(f779,plain,
    ( ~ member(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),universal_class)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f18410,plain,
    ( spl0_779
    | ~ spl0_67
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17954,f11495,f536,f18408]) ).

fof(f18408,plain,
    ( spl0_779
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),successor_relation)
        | u = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).

fof(f536,plain,
    ( spl0_67
  <=> ! [X0,X1] :
        ( complement(intersection(complement(X0),complement(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,[spl0_67])]) ).

fof(f17954,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),successor_relation)
        | u = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))) )
    | ~ spl0_67
    | ~ spl0_594 ),
    inference(superposition,[],[f537,f11496]) ).

fof(f537,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
        | complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))) = X1 )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f18395,plain,
    ( ~ spl0_1
    | spl0_778
    | ~ spl0_149
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17979,f11495,f1281,f18393,f170]) ).

fof(f1281,plain,
    ( spl0_149
  <=> ! [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)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f17979,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | ~ member(X0,u)
        | ~ member(u,universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_149
    | ~ spl0_594 ),
    inference(superposition,[],[f1282,f11496]) ).

fof(f1282,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)
        | ~ member(X0,universal_class) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f18380,plain,
    ( ~ spl0_1
    | spl0_777
    | ~ spl0_149
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17978,f11495,f1281,f18378,f170]) ).

fof(f17978,plain,
    ( ! [X0] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | ~ member(u,X0)
        | ~ member(X0,universal_class)
        | ~ member(u,universal_class) )
    | ~ spl0_149
    | ~ spl0_594 ),
    inference(superposition,[],[f1282,f11496]) ).

fof(f18340,plain,
    ( spl0_776
    | ~ spl0_67
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17953,f11495,f536,f18338]) ).

fof(f17953,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),successor_relation)
        | complement(intersection(complement(u),complement(subset_relation))) = X0 )
    | ~ spl0_67
    | ~ spl0_594 ),
    inference(superposition,[],[f537,f11496]) ).

fof(f18336,plain,
    ( spl0_775
    | ~ spl0_66
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17952,f11495,f525,f18334]) ).

fof(f18334,plain,
    ( spl0_775
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | ~ member(u,X2)
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).

fof(f17952,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | ~ member(u,X2)
        | ~ member(X0,X1) )
    | ~ spl0_66
    | ~ spl0_594 ),
    inference(superposition,[],[f526,f11496]) ).

fof(f18332,plain,
    ( spl0_774
    | ~ spl0_66
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17951,f11495,f525,f18330]) ).

fof(f17951,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | ~ member(X0,X2)
        | ~ member(u,X1) )
    | ~ spl0_66
    | ~ spl0_594 ),
    inference(superposition,[],[f526,f11496]) ).

fof(f18304,plain,
    ( spl0_773
    | ~ spl0_57
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17950,f11495,f473,f18302]) ).

fof(f18302,plain,
    ( spl0_773
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).

fof(f473,plain,
    ( spl0_57
  <=> ! [X0,X3,X2,X1] :
        ( member(X2,X0)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f17950,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | member(X0,X1) )
    | ~ spl0_57
    | ~ spl0_594 ),
    inference(superposition,[],[f474,f11496]) ).

fof(f474,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
        | member(X2,X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f18300,plain,
    ( spl0_772
    | ~ spl0_57
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17949,f11495,f473,f18298]) ).

fof(f17949,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(u,X1) )
    | ~ spl0_57
    | ~ spl0_594 ),
    inference(superposition,[],[f474,f11496]) ).

fof(f18296,plain,
    ( spl0_771
    | ~ spl0_56
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17948,f11495,f469,f18294]) ).

fof(f18294,plain,
    ( spl0_771
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | member(u,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).

fof(f17948,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),cross_product(X1,X2))
        | member(u,X2) )
    | ~ spl0_56
    | ~ spl0_594 ),
    inference(superposition,[],[f470,f11496]) ).

fof(f18292,plain,
    ( spl0_770
    | ~ spl0_56
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17947,f11495,f469,f18290]) ).

fof(f17947,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),cross_product(X1,X2))
        | member(X0,X2) )
    | ~ spl0_56
    | ~ spl0_594 ),
    inference(superposition,[],[f470,f11496]) ).

fof(f18273,plain,
    ( ~ spl0_769
    | ~ spl0_242
    | spl0_455 ),
    inference(avatar_split_clause,[],[f16139,f8323,f2438,f18270]) ).

fof(f18270,plain,
    ( spl0_769
  <=> inductive(complement(subset_relation)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).

fof(f16139,plain,
    ( ~ inductive(complement(subset_relation))
    | ~ spl0_242
    | spl0_455 ),
    inference(superposition,[],[f8325,f2440]) ).

fof(f18268,plain,
    ( ~ spl0_767
    | spl0_768
    | ~ spl0_134
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18146,f11495,f2438,f1135,f18265,f18261]) ).

fof(f18146,plain,
    ( subset_relation = cross_product(subset_relation,universal_class)
    | ~ member(u,domain_of(regular(cross_product(subset_relation,universal_class))))
    | ~ spl0_134
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17977,f2440]) ).

fof(f17977,plain,
    ( ~ member(u,domain_of(regular(cross_product(subset_relation,universal_class))))
    | null_class = cross_product(subset_relation,universal_class)
    | ~ spl0_134
    | ~ spl0_594 ),
    inference(superposition,[],[f1136,f11496]) ).

fof(f18259,plain,
    ( spl0_766
    | ~ spl0_53
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17946,f11495,f456,f18257]) ).

fof(f18257,plain,
    ( spl0_766
  <=> ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | member(X0,u) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).

fof(f456,plain,
    ( spl0_53
  <=> ! [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,[spl0_53])]) ).

fof(f17946,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,subset_relation)),element_relation)
        | member(X0,u) )
    | ~ spl0_53
    | ~ spl0_594 ),
    inference(superposition,[],[f457,f11496]) ).

fof(f457,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | member(X0,X1) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f18255,plain,
    ( spl0_765
    | ~ spl0_53
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17945,f11495,f456,f18253]) ).

fof(f17945,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(subset_relation,unordered_pair(u,unordered_pair(X0,X0))),element_relation)
        | member(u,X0) )
    | ~ spl0_53
    | ~ spl0_594 ),
    inference(superposition,[],[f457,f11496]) ).

fof(f18235,plain,
    ( spl0_764
    | ~ spl0_126
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18145,f11495,f2438,f1032,f18233]) ).

fof(f18233,plain,
    ( spl0_764
  <=> ! [X0] :
        ( subset_relation != intersection(X0,cross_product(subset_relation,universal_class))
        | ~ member(u,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).

fof(f1032,plain,
    ( spl0_126
  <=> ! [X0,X1] :
        ( null_class != intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,domain_of(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f18145,plain,
    ( ! [X0] :
        ( subset_relation != intersection(X0,cross_product(subset_relation,universal_class))
        | ~ member(u,domain_of(X0)) )
    | ~ spl0_126
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17976,f2440]) ).

fof(f17976,plain,
    ( ! [X0] :
        ( null_class != intersection(X0,cross_product(subset_relation,universal_class))
        | ~ member(u,domain_of(X0)) )
    | ~ spl0_126
    | ~ spl0_594 ),
    inference(superposition,[],[f1033,f11496]) ).

fof(f1033,plain,
    ( ! [X0,X1] :
        ( null_class != intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,domain_of(X1)) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f18231,plain,
    ( spl0_763
    | ~ spl0_52
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f18143,f11495,f2438,f445,f18229]) ).

fof(f18229,plain,
    ( spl0_763
  <=> ! [X0] :
        ( subset_relation != intersection(cross_product(subset_relation,universal_class),X0)
        | ~ member(u,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).

fof(f445,plain,
    ( spl0_52
  <=> ! [X4,X0] :
        ( ~ member(X4,domain_of(X0))
        | null_class != intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f18143,plain,
    ( ! [X0] :
        ( subset_relation != intersection(cross_product(subset_relation,universal_class),X0)
        | ~ member(u,domain_of(X0)) )
    | ~ spl0_52
    | ~ spl0_242
    | ~ spl0_594 ),
    inference(forward_demodulation,[],[f17944,f2440]) ).

fof(f17944,plain,
    ( ! [X0] :
        ( null_class != intersection(cross_product(subset_relation,universal_class),X0)
        | ~ member(u,domain_of(X0)) )
    | ~ spl0_52
    | ~ spl0_594 ),
    inference(superposition,[],[f446,f11496]) ).

fof(f446,plain,
    ( ! [X0,X4] :
        ( null_class != intersection(cross_product(unordered_pair(X4,X4),universal_class),X0)
        | ~ member(X4,domain_of(X0)) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f18220,plain,
    ( spl0_762
    | ~ spl0_94
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f17898,f11495,f711,f18218]) ).

fof(f17898,plain,
    ( ! [X0] :
        ( member(subset_relation,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl0_94
    | ~ spl0_594 ),
    inference(superposition,[],[f712,f11496]) ).

fof(f17858,plain,
    ( ~ spl0_242
    | ~ spl0_325
    | spl0_594 ),
    inference(avatar_split_clause,[],[f11500,f11495,f3977,f2438]) ).

fof(f11500,plain,
    ( null_class != subset_relation
    | ~ spl0_325
    | spl0_594 ),
    inference(superposition,[],[f11497,f3979]) ).

fof(f17837,plain,
    ( spl0_761
    | ~ spl0_242
    | ~ spl0_760 ),
    inference(avatar_split_clause,[],[f17833,f17828,f2438,f17835]) ).

fof(f17835,plain,
    ( spl0_761
  <=> ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).

fof(f17833,plain,
    ( ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_760 ),
    inference(forward_demodulation,[],[f17832,f2440]) ).

fof(f17832,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_760 ),
    inference(forward_demodulation,[],[f17831,f2440]) ).

fof(f17831,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_760 ),
    inference(forward_demodulation,[],[f17829,f2440]) ).

fof(f17830,plain,
    ( spl0_760
    | ~ spl0_170
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1777,f1772,f1544,f17828]) ).

fof(f1777,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)),X2))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X2),universal_class)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_181 ),
    inference(superposition,[],[f1773,f1545]) ).

fof(f17826,plain,
    ( spl0_758
    | ~ spl0_759
    | ~ spl0_81
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f736,f711,f621,f17823,f17820]) ).

fof(f17820,plain,
    ( spl0_758
  <=> ! [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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).

fof(f17823,plain,
    ( spl0_759
  <=> subclass(universal_class,cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).

fof(f736,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,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))
        | ~ 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) )
    | ~ spl0_81
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f622]) ).

fof(f17780,plain,
    ( spl0_757
    | ~ spl0_149
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1863,f1850,f1281,f17778]) ).

fof(f17778,plain,
    ( spl0_757
  <=> ! [X2,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))),rotate(element_relation))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),X0)
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).

fof(f1863,plain,
    ( ! [X2,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))),rotate(element_relation))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),X0)
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class) )
    | ~ spl0_149
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f1282]) ).

fof(f17772,plain,
    ( ~ spl0_756
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | spl0_753 ),
    inference(avatar_split_clause,[],[f17762,f17751,f5760,f2438,f2341,f17769]) ).

fof(f17769,plain,
    ( spl0_756
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(subset_relation),complement(subset_relation)),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).

fof(f17762,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(subset_relation),complement(subset_relation)),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | spl0_753 ),
    inference(forward_demodulation,[],[f17761,f2440]) ).

fof(f17767,plain,
    ( ~ spl0_755
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | spl0_754 ),
    inference(avatar_split_clause,[],[f17760,f17755,f5760,f2438,f2341,f17764]) ).

fof(f17764,plain,
    ( spl0_755
  <=> member(complement(subset_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).

fof(f17760,plain,
    ( ~ member(complement(subset_relation),universal_class)
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | spl0_754 ),
    inference(forward_demodulation,[],[f17759,f2440]) ).

fof(f17758,plain,
    ( ~ spl0_753
    | ~ spl0_754
    | spl0_550
    | ~ spl0_137
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1479,f1470,f1189,f10783,f17755,f17751]) ).

fof(f10783,plain,
    ( spl0_550
  <=> null_class = complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f1479,plain,
    ( null_class = complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ member(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),universal_class)
    | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_137
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f1190]) ).

fof(f17679,plain,
    ( spl0_752
    | ~ spl0_242
    | ~ spl0_750 ),
    inference(avatar_split_clause,[],[f17671,f17667,f2438,f17677]) ).

fof(f17677,plain,
    ( spl0_752
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).

fof(f17671,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_750 ),
    inference(forward_demodulation,[],[f17670,f2440]) ).

fof(f17670,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_750 ),
    inference(forward_demodulation,[],[f17668,f2440]) ).

fof(f17675,plain,
    ( spl0_751
    | ~ spl0_149
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1896,f1854,f1281,f17673]) ).

fof(f17673,plain,
    ( spl0_751
  <=> ! [X2,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(element_relation))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).

fof(f1896,plain,
    ( ! [X2,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(element_relation))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_149
    | ~ spl0_187 ),
    inference(duplicate_literal_removal,[],[f1882]) ).

fof(f1882,plain,
    ( ! [X2,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(element_relation))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
    | ~ spl0_149
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f1282]) ).

fof(f17669,plain,
    ( spl0_750
    | ~ spl0_73
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1775,f1772,f572,f17667]) ).

fof(f1775,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class))),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_181 ),
    inference(resolution,[],[f1773,f573]) ).

fof(f17579,plain,
    ( spl0_749
    | ~ spl0_242
    | ~ spl0_747 ),
    inference(avatar_split_clause,[],[f17507,f17503,f2438,f17577]) ).

fof(f17577,plain,
    ( spl0_749
  <=> ! [X0,X3,X2,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).

fof(f17503,plain,
    ( spl0_747
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).

fof(f17507,plain,
    ( ! [X2,X3,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class) )
    | ~ spl0_242
    | ~ spl0_747 ),
    inference(forward_demodulation,[],[f17506,f2440]) ).

fof(f17506,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_747 ),
    inference(forward_demodulation,[],[f17504,f2440]) ).

fof(f17504,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_747 ),
    inference(avatar_component_clause,[],[f17503]) ).

fof(f17571,plain,
    ( ~ spl0_6
    | spl0_737 ),
    inference(avatar_contradiction_clause,[],[f17570]) ).

fof(f17570,plain,
    ( $false
    | ~ spl0_6
    | spl0_737 ),
    inference(resolution,[],[f17301,f195]) ).

fof(f17301,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | spl0_737 ),
    inference(avatar_component_clause,[],[f17299]) ).

fof(f17535,plain,
    ( spl0_748
    | ~ spl0_242
    | ~ spl0_744 ),
    inference(avatar_split_clause,[],[f17493,f17489,f2438,f17533]) ).

fof(f17533,plain,
    ( spl0_748
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = X3
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).

fof(f17489,plain,
    ( spl0_744
  <=> ! [X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3)
        | null_class = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).

fof(f17493,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = X3
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) )
    | ~ spl0_242
    | ~ spl0_744 ),
    inference(forward_demodulation,[],[f17492,f2440]) ).

fof(f17492,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3)
        | null_class = X3 )
    | ~ spl0_242
    | ~ spl0_744 ),
    inference(forward_demodulation,[],[f17490,f2440]) ).

fof(f17490,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class)
        | ~ compatible(X0,X1,X2)
        | null_class = X3 )
    | ~ spl0_744 ),
    inference(avatar_component_clause,[],[f17489]) ).

fof(f17505,plain,
    ( spl0_747
    | ~ spl0_170
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1769,f1762,f1544,f17503]) ).

fof(f1769,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),compose(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_180 ),
    inference(superposition,[],[f1763,f1545]) ).

fof(f17501,plain,
    ( spl0_746
    | ~ spl0_129
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1711,f1656,f1093,f17499]) ).

fof(f17499,plain,
    ( spl0_746
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).

fof(f1093,plain,
    ( spl0_129
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(universal_class,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1711,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_129
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f1094]) ).

fof(f1094,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f17497,plain,
    ( spl0_745
    | ~ spl0_129
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1671,f1652,f1093,f17495]) ).

fof(f17495,plain,
    ( spl0_745
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).

fof(f1671,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X1))),domain_of(intersection(element_relation,cross_product(universal_class,X1)))))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X1,universal_class) )
    | ~ spl0_129
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f1094]) ).

fof(f17491,plain,
    ( spl0_744
    | ~ spl0_124
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1596,f1572,f1024,f17489]) ).

fof(f1024,plain,
    ( spl0_124
  <=> ! [X0,X1] :
        ( member(X1,null_class)
        | ~ member(X1,regular(X0))
        | ~ member(X1,X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1596,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),regular(X3))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3)
        | null_class = X3 )
    | ~ spl0_124
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f1025]) ).

fof(f1025,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,regular(X0))
        | member(X1,null_class)
        | ~ member(X1,X0)
        | null_class = X0 )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f17487,plain,
    ( spl0_743
    | ~ spl0_125
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1593,f1572,f1028,f17485]) ).

fof(f17485,plain,
    ( spl0_743
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).

fof(f1593,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),identity_relation) )
    | ~ spl0_125
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f1029]) ).

fof(f17483,plain,
    ( ~ spl0_742
    | ~ spl0_242
    | spl0_640 ),
    inference(avatar_split_clause,[],[f16183,f14220,f2438,f17480]) ).

fof(f16183,plain,
    ( ~ subclass(subset_relation,identity_relation)
    | ~ spl0_242
    | spl0_640 ),
    inference(superposition,[],[f14222,f2440]) ).

fof(f17478,plain,
    ( spl0_741
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1113,f1093,f585,f17476]) ).

fof(f17476,plain,
    ( spl0_741
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X3,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X3))),domain_of(intersection(element_relation,cross_product(universal_class,X3)))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X3))),domain_of(intersection(element_relation,cross_product(universal_class,X3)))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).

fof(f1113,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(X3,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X3))),domain_of(intersection(element_relation,cross_product(universal_class,X3)))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X3))),domain_of(intersection(element_relation,cross_product(universal_class,X3)))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f586]) ).

fof(f17440,plain,
    ( spl0_740
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_739 ),
    inference(avatar_split_clause,[],[f17436,f17430,f16527,f2438,f17438]) ).

fof(f17438,plain,
    ( spl0_740
  <=> ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(subset_relation,X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).

fof(f17436,plain,
    ( ! [X2,X0,X1] :
        ( cross_product(X0,X1) = subset_relation
        | subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(subset_relation,X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f17435,f2440]) ).

fof(f17435,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(subset_relation,X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f17434,f2440]) ).

fof(f17434,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(subset_relation,X2),universal_class)))))
        | member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_739 ),
    inference(forward_demodulation,[],[f17433,f16529]) ).

fof(f17432,plain,
    ( spl0_739
    | ~ spl0_170
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1751,f1740,f1544,f17430]) ).

fof(f1751,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),compose(X2,regular(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class))))
        | ~ member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_170
    | ~ spl0_177 ),
    inference(superposition,[],[f1741,f1545]) ).

fof(f17428,plain,
    ( spl0_738
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1583,f1572,f382,f17426]) ).

fof(f17426,plain,
    ( spl0_738
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),unordered_pair(X3,X4))
        | ~ operation(X2)
        | unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))) = X3
        | unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).

fof(f1583,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),unordered_pair(X3,X4))
        | ~ operation(X2)
        | unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))) = X3
        | unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))) = X4 )
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f383]) ).

fof(f17302,plain,
    ( ~ spl0_737
    | ~ spl0_242
    | spl0_491 ),
    inference(avatar_split_clause,[],[f16144,f9540,f2438,f17299]) ).

fof(f16144,plain,
    ( ~ subclass(subset_relation,subset_relation)
    | ~ spl0_242
    | spl0_491 ),
    inference(superposition,[],[f9542,f2440]) ).

fof(f17297,plain,
    ( spl0_736
    | ~ spl0_242
    | ~ spl0_732 ),
    inference(avatar_split_clause,[],[f17281,f17278,f2438,f17295]) ).

fof(f17295,plain,
    ( spl0_736
  <=> ! [X2,X0,X1] :
        ( subset_relation = intersection(unordered_pair(X0,X1),X2)
        | ~ member(intersection(unordered_pair(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).

fof(f17278,plain,
    ( spl0_732
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X2)
        | ~ member(intersection(unordered_pair(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f17281,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = intersection(unordered_pair(X0,X1),X2)
        | ~ member(intersection(unordered_pair(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_242
    | ~ spl0_732 ),
    inference(forward_demodulation,[],[f17279,f2440]) ).

fof(f17279,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(intersection(unordered_pair(X0,X1),X2),universal_class)
        | null_class = intersection(unordered_pair(X0,X1),X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_732 ),
    inference(avatar_component_clause,[],[f17278]) ).

fof(f17293,plain,
    ( spl0_735
    | ~ spl0_242
    | ~ spl0_731 ),
    inference(avatar_split_clause,[],[f17276,f17273,f2438,f17291]) ).

fof(f17291,plain,
    ( spl0_735
  <=> ! [X2,X0,X1] :
        ( subset_relation = intersection(X0,unordered_pair(X1,X2))
        | ~ member(intersection(X0,unordered_pair(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).

fof(f17273,plain,
    ( spl0_731
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,unordered_pair(X1,X2))
        | ~ member(intersection(X0,unordered_pair(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f17276,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = intersection(X0,unordered_pair(X1,X2))
        | ~ member(intersection(X0,unordered_pair(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X2 )
    | ~ spl0_242
    | ~ spl0_731 ),
    inference(forward_demodulation,[],[f17274,f2440]) ).

fof(f17274,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(intersection(X0,unordered_pair(X1,X2)),universal_class)
        | null_class = intersection(X0,unordered_pair(X1,X2))
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X2 )
    | ~ spl0_731 ),
    inference(avatar_component_clause,[],[f17273]) ).

fof(f17289,plain,
    ( spl0_734
    | ~ spl0_66
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1880,f1854,f525,f17287]) ).

fof(f17287,plain,
    ( spl0_734
  <=> ! [X4,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(cross_product(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,X4)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).

fof(f1880,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( 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(cross_product(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X2,X4)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_66
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f526]) ).

fof(f17285,plain,
    ( spl0_733
    | ~ spl0_66
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1861,f1850,f525,f17283]) ).

fof(f17283,plain,
    ( spl0_733
  <=> ! [X4,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))),rotate(cross_product(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,X4)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).

fof(f1861,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( 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))),rotate(cross_product(X3,X4)))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X0,X4)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),X3) )
    | ~ spl0_66
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f526]) ).

fof(f17280,plain,
    ( spl0_732
    | ~ spl0_42
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1518,f1493,f382,f17278]) ).

fof(f1518,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X2)
        | ~ member(intersection(unordered_pair(X0,X1),X2),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(unordered_pair(X0,X1),X2),intersection(unordered_pair(X0,X1),X2)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_42
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f383]) ).

fof(f17275,plain,
    ( spl0_731
    | ~ spl0_42
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1497,f1489,f382,f17273]) ).

fof(f1497,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,unordered_pair(X1,X2))
        | ~ member(intersection(X0,unordered_pair(X1,X2)),universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,unordered_pair(X1,X2)),intersection(X0,unordered_pair(X1,X2))),universal_class)),universal_class))))))) = X2 )
    | ~ spl0_42
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f383]) ).

fof(f17264,plain,
    ( spl0_451
    | ~ spl0_728
    | spl0_729
    | ~ spl0_730
    | ~ spl0_71
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1058,f1028,f557,f17261,f17257,f17253,f8301]) ).

fof(f8301,plain,
    ( spl0_451
  <=> null_class = domain_of(flip(cross_product(subset_relation,universal_class))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f17253,plain,
    ( spl0_728
  <=> member(domain_of(flip(cross_product(subset_relation,universal_class))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f17257,plain,
    ( spl0_729
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(flip(cross_product(subset_relation,universal_class))),domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class))))))),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f17261,plain,
    ( spl0_730
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(flip(cross_product(subset_relation,universal_class))),domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f1058,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(flip(cross_product(subset_relation,universal_class))),domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class))))))),subset_relation)
    | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(flip(cross_product(subset_relation,universal_class))),domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)),universal_class))))))),identity_relation)
    | ~ member(domain_of(flip(cross_product(subset_relation,universal_class))),universal_class)
    | null_class = domain_of(flip(cross_product(subset_relation,universal_class)))
    | ~ spl0_71
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f558]) ).

fof(f17233,plain,
    ( spl0_727
    | ~ spl0_242
    | ~ spl0_726 ),
    inference(avatar_split_clause,[],[f17229,f17225,f2438,f17231]) ).

fof(f17231,plain,
    ( spl0_727
  <=> ! [X0,X3,X2,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f17229,plain,
    ( ! [X2,X3,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_242
    | ~ spl0_726 ),
    inference(forward_demodulation,[],[f17228,f2440]) ).

fof(f17228,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_242
    | ~ spl0_726 ),
    inference(forward_demodulation,[],[f17226,f2440]) ).

fof(f17227,plain,
    ( spl0_726
    | ~ spl0_33
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1776,f1772,f318,f17225]) ).

fof(f1776,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)
        | ~ subclass(compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class)),X2),X3)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3) )
    | ~ spl0_33
    | ~ spl0_181 ),
    inference(resolution,[],[f1773,f319]) ).

fof(f16973,plain,
    ( spl0_725
    | ~ spl0_131
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1606,f1598,f1122,f16971]) ).

fof(f16971,plain,
    ( spl0_725
  <=> ! [X0] :
        ( not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)))),unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),unordered_pair(second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))))))
        | cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f1122,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))
        | cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1598,plain,
    ( spl0_172
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | subclass(cross_product(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1606,plain,
    ( ! [X0] :
        ( not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)))),unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),unordered_pair(second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))),second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))))))
        | cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0) )
    | ~ spl0_131
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f1123]) ).

fof(f1123,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))
        | cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1599,plain,
    ( ! [X2,X0,X1] :
        ( subclass(cross_product(X0,X1),X2)
        | not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))))) )
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f16969,plain,
    ( spl0_724
    | ~ spl0_130
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1605,f1598,f1118,f16967]) ).

fof(f16967,plain,
    ( spl0_724
  <=> ! [X0] :
        ( not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)))),unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),unordered_pair(second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))))))
        | rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f1118,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))
        | rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1605,plain,
    ( ! [X0] :
        ( not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)))),unordered_pair(first(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),unordered_pair(second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))),second(not_subclass_element(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))))))
        | rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class) )
    | ~ spl0_130
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f1119]) ).

fof(f1119,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))
        | rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f16722,plain,
    ( spl0_723
    | ~ spl0_242
    | ~ spl0_719 ),
    inference(avatar_split_clause,[],[f16673,f16668,f2438,f16720]) ).

fof(f16720,plain,
    ( spl0_723
  <=> ! [X0,X1] :
        ( subset_relation = X0
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f16668,plain,
    ( spl0_719
  <=> ! [X0,X1] :
        ( null_class = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f16673,plain,
    ( ! [X0,X1] :
        ( subset_relation = X0
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0) )
    | ~ spl0_242
    | ~ spl0_719 ),
    inference(forward_demodulation,[],[f16672,f2440]) ).

fof(f16672,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0)
        | null_class = X0 )
    | ~ spl0_242
    | ~ spl0_719 ),
    inference(forward_demodulation,[],[f16671,f2440]) ).

fof(f16671,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0)
        | null_class = X0 )
    | ~ spl0_242
    | ~ spl0_719 ),
    inference(forward_demodulation,[],[f16669,f2440]) ).

fof(f16669,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),null_class)
        | null_class = intersection(regular(X0),X1)
        | null_class = X0 )
    | ~ spl0_719 ),
    inference(avatar_component_clause,[],[f16668]) ).

fof(f16718,plain,
    ( spl0_722
    | ~ spl0_242
    | ~ spl0_718 ),
    inference(avatar_split_clause,[],[f16666,f16661,f2438,f16716]) ).

fof(f16716,plain,
    ( spl0_722
  <=> ! [X0,X1] :
        ( subset_relation = X1
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f16661,plain,
    ( spl0_718
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f16666,plain,
    ( ! [X0,X1] :
        ( subset_relation = X1
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1) )
    | ~ spl0_242
    | ~ spl0_718 ),
    inference(forward_demodulation,[],[f16665,f2440]) ).

fof(f16665,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),subset_relation)
        | subset_relation = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_242
    | ~ spl0_718 ),
    inference(forward_demodulation,[],[f16664,f2440]) ).

fof(f16664,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_242
    | ~ spl0_718 ),
    inference(forward_demodulation,[],[f16662,f2440]) ).

fof(f16662,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),null_class)
        | null_class = intersection(X0,regular(X1))
        | null_class = X1 )
    | ~ spl0_718 ),
    inference(avatar_component_clause,[],[f16661]) ).

fof(f16684,plain,
    ( spl0_721
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_720 ),
    inference(avatar_split_clause,[],[f16680,f16675,f16527,f2438,f16682]) ).

fof(f16682,plain,
    ( spl0_721
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f16680,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_720 ),
    inference(forward_demodulation,[],[f16679,f2440]) ).

fof(f16679,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(subset_relation,X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_242
    | ~ spl0_716
    | ~ spl0_720 ),
    inference(forward_demodulation,[],[f16678,f16529]) ).

fof(f16677,plain,
    ( spl0_720
    | ~ spl0_73
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1749,f1740,f572,f16675]) ).

fof(f1749,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X2,X2),universal_class),regular(cross_product(unordered_pair(X2,X2),universal_class))),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_177 ),
    inference(resolution,[],[f1741,f573]) ).

fof(f16670,plain,
    ( spl0_719
    | ~ spl0_124
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1530,f1493,f1024,f16668]) ).

fof(f1530,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(regular(X0),X1)
        | ~ member(intersection(regular(X0),X1),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(regular(X0),X1),intersection(regular(X0),X1)),universal_class)),universal_class))))))),X0)
        | null_class = X0 )
    | ~ spl0_124
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f1025]) ).

fof(f16663,plain,
    ( spl0_718
    | ~ spl0_124
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1509,f1489,f1024,f16661]) ).

fof(f1509,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,regular(X1))
        | ~ member(intersection(X0,regular(X1)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,regular(X1)),intersection(X0,regular(X1))),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_124
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f1025]) ).

fof(f16611,plain,
    ( spl0_717
    | ~ spl0_242
    | ~ spl0_712 ),
    inference(avatar_split_clause,[],[f16511,f16507,f2438,f16609]) ).

fof(f16609,plain,
    ( spl0_717
  <=> ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f16511,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)
        | ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_242
    | ~ spl0_712 ),
    inference(forward_demodulation,[],[f16510,f2440]) ).

fof(f16510,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_242
    | ~ spl0_712 ),
    inference(forward_demodulation,[],[f16508,f2440]) ).

fof(f16530,plain,
    ( spl0_716
    | ~ spl0_242
    | ~ spl0_713 ),
    inference(avatar_split_clause,[],[f16520,f16513,f2438,f16527]) ).

fof(f16513,plain,
    ( spl0_713
  <=> null_class = cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f16520,plain,
    ( subset_relation = cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
    | ~ spl0_242
    | ~ spl0_713 ),
    inference(forward_demodulation,[],[f16515,f2440]) ).

fof(f16515,plain,
    ( null_class = cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)
    | ~ spl0_713 ),
    inference(avatar_component_clause,[],[f16513]) ).

fof(f16525,plain,
    ( ~ spl0_715
    | ~ spl0_242
    | spl0_384 ),
    inference(avatar_split_clause,[],[f16123,f5755,f2438,f16522]) ).

fof(f16522,plain,
    ( spl0_715
  <=> function(subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f16123,plain,
    ( ~ function(subset_relation)
    | ~ spl0_242
    | spl0_384 ),
    inference(superposition,[],[f5757,f2440]) ).

fof(f16519,plain,
    ( spl0_713
    | spl0_714
    | ~ spl0_35
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1779,f1772,f326,f16517,f16513]) ).

fof(f1779,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)),regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(X1,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_181 ),
    inference(superposition,[],[f1773,f327]) ).

fof(f16509,plain,
    ( spl0_712
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1683,f1652,f326,f16507]) ).

fof(f1683,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(superposition,[],[f1653,f327]) ).

fof(f16495,plain,
    ( spl0_711
    | ~ spl0_242
    | ~ spl0_707 ),
    inference(avatar_split_clause,[],[f16477,f16474,f2438,f16493]) ).

fof(f16493,plain,
    ( spl0_711
  <=> ! [X0] :
        ( subset_relation = cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f16474,plain,
    ( spl0_707
  <=> ! [X0] :
        ( ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f16477,plain,
    ( ! [X0] :
        ( subset_relation = cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class))))
        | ~ member(X0,universal_class) )
    | ~ spl0_242
    | ~ spl0_707 ),
    inference(forward_demodulation,[],[f16475,f2440]) ).

fof(f16475,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class) )
    | ~ spl0_707 ),
    inference(avatar_component_clause,[],[f16474]) ).

fof(f16491,plain,
    ( ~ spl0_710
    | ~ spl0_242
    | spl0_709 ),
    inference(avatar_split_clause,[],[f16486,f16482,f2438,f16488]) ).

fof(f16488,plain,
    ( spl0_710
  <=> inductive(domain_of(domain_of(flip(cross_product(subset_relation,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f16482,plain,
    ( spl0_709
  <=> inductive(domain_of(domain_of(flip(cross_product(null_class,universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f16486,plain,
    ( ~ inductive(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))))
    | ~ spl0_242
    | spl0_709 ),
    inference(forward_demodulation,[],[f16484,f2440]) ).

fof(f16484,plain,
    ( ~ inductive(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
    | spl0_709 ),
    inference(avatar_component_clause,[],[f16482]) ).

fof(f16485,plain,
    ( spl0_708
    | ~ spl0_709
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1633,f1614,f326,f16482,f16479]) ).

fof(f16479,plain,
    ( spl0_708
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f1633,plain,
    ( ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(superposition,[],[f1615,f327]) ).

fof(f16476,plain,
    ( spl0_707
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1317,f1269,f1135,f16474]) ).

fof(f1317,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class))))
        | ~ member(X0,universal_class)
        | null_class = cross_product(unordered_pair(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class)))))),universal_class) )
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f1136]) ).

fof(f16372,plain,
    ( spl0_706
    | ~ spl0_242
    | ~ spl0_704 ),
    inference(avatar_split_clause,[],[f16363,f16360,f2438,f16370]) ).

fof(f16370,plain,
    ( spl0_706
  <=> ! [X0,X1] :
        ( complement(intersection(X0,X1)) = subset_relation
        | ~ member(complement(intersection(X0,X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X1)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f16360,plain,
    ( spl0_704
  <=> ! [X0,X1] :
        ( complement(intersection(X0,X1)) = null_class
        | ~ member(complement(intersection(X0,X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X1)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f16363,plain,
    ( ! [X0,X1] :
        ( complement(intersection(X0,X1)) = subset_relation
        | ~ member(complement(intersection(X0,X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X1)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X0) )
    | ~ spl0_242
    | ~ spl0_704 ),
    inference(forward_demodulation,[],[f16361,f2440]) ).

fof(f16361,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X1)
        | ~ member(complement(intersection(X0,X1)),universal_class)
        | complement(intersection(X0,X1)) = null_class
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X0) )
    | ~ spl0_704 ),
    inference(avatar_component_clause,[],[f16360]) ).

fof(f16368,plain,
    ( ~ spl0_705
    | ~ spl0_242
    | spl0_374 ),
    inference(avatar_split_clause,[],[f16119,f5652,f2438,f16365]) ).

fof(f16365,plain,
    ( spl0_705
  <=> single_valued_class(subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f16119,plain,
    ( ~ single_valued_class(subset_relation)
    | ~ spl0_242
    | spl0_374 ),
    inference(superposition,[],[f5654,f2440]) ).

fof(f16362,plain,
    ( spl0_704
    | ~ spl0_43
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1477,f1470,f386,f16360]) ).

fof(f1477,plain,
    ( ! [X0,X1] :
        ( complement(intersection(X0,X1)) = null_class
        | ~ member(complement(intersection(X0,X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X1)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(intersection(X0,X1)),complement(intersection(X0,X1))),universal_class)),universal_class))))))),X0) )
    | ~ spl0_43
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f387]) ).

fof(f16349,plain,
    ( spl0_703
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11549,f9850,f4891,f1276,f627,f16347]) ).

fof(f11549,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(null_class,null_class),universal_class),X0),universal_class)))))))),universal_class),X1),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),X1),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(null_class,domain_of(X0))
        | ~ homomorphism(X1,X0,X2) )
    | ~ spl0_82
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4811,f9916]) ).

fof(f16312,plain,
    ( spl0_702
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_701 ),
    inference(avatar_split_clause,[],[f16308,f16303,f5760,f2438,f2341,f16310]) ).

fof(f16310,plain,
    ( spl0_702
  <=> ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | subset_relation = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f16308,plain,
    ( ! [X0] :
        ( ~ subclass(X0,subset_relation)
        | subset_relation = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_701 ),
    inference(forward_demodulation,[],[f16307,f2440]) ).

fof(f16307,plain,
    ( ! [X0] :
        ( ~ subclass(X0,null_class)
        | subset_relation = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_230
    | ~ spl0_242
    | spl0_385
    | ~ spl0_701 ),
    inference(forward_demodulation,[],[f16306,f11731]) ).

fof(f16305,plain,
    ( spl0_701
    | ~ spl0_158
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1461,f1451,f1390,f16303]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) )
    | ~ spl0_158
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f1391]) ).

fof(f16054,plain,
    ( spl0_242
    | spl0_700
    | ~ spl0_518
    | ~ spl0_659 ),
    inference(avatar_split_clause,[],[f15825,f14494,f10109,f16051,f2438]) ).

fof(f15825,plain,
    ( subclass(subset_relation,u)
    | null_class = subset_relation
    | ~ spl0_518
    | ~ spl0_659 ),
    inference(superposition,[],[f14495,f10111]) ).

fof(f16025,plain,
    ( spl0_699
    | ~ spl0_116
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1717,f1656,f899,f16023]) ).

fof(f16023,plain,
    ( spl0_699
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class)))))
        | subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f1717,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class)))))
        | subclass(X1,X2) )
    | ~ spl0_116
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f900]) ).

fof(f16021,plain,
    ( spl0_698
    | ~ spl0_116
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1677,f1652,f899,f16019]) ).

fof(f16019,plain,
    ( spl0_698
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f1677,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(X1,X2),not_subclass_element(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | subclass(X1,X2) )
    | ~ spl0_116
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f900]) ).

fof(f16017,plain,
    ( spl0_697
    | ~ spl0_103
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1610,f1598,f794,f16015]) ).

fof(f16015,plain,
    ( spl0_697
  <=> ! [X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class)))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),unordered_pair(second(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))))))
        | function(cross_product(X0,X1))
        | ~ single_valued_class(cross_product(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f794,plain,
    ( spl0_103
  <=> ! [X0] :
        ( ~ subclass(X0,cross_product(universal_class,universal_class))
        | function(X0)
        | ~ single_valued_class(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1610,plain,
    ( ! [X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class)))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),unordered_pair(second(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(X0,X1),cross_product(universal_class,universal_class))))))
        | function(cross_product(X0,X1))
        | ~ single_valued_class(cross_product(X0,X1)) )
    | ~ spl0_103
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f795]) ).

fof(f795,plain,
    ( ! [X0] :
        ( ~ subclass(X0,cross_product(universal_class,universal_class))
        | function(X0)
        | ~ single_valued_class(X0) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f16013,plain,
    ( spl0_696
    | ~ spl0_76
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f955,f899,f585,f16011]) ).

fof(f16011,plain,
    ( spl0_696
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | subclass(X0,X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(X0,X4),not_subclass_element(X0,X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(X0,X4),not_subclass_element(X0,X4)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f955,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | subclass(X0,X4)
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(X0,X4),not_subclass_element(X0,X4)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(not_subclass_element(X0,X4),not_subclass_element(X0,X4)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f586]) ).

fof(f15839,plain,
    ( spl0_695
    | ~ spl0_127
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1604,f1598,f1085,f15837]) ).

fof(f15837,plain,
    ( spl0_695
  <=> ! [X0,X1] :
        ( not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1)))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),second(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))))))
        | cross_product(universal_class,universal_class) = compose(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f1085,plain,
    ( spl0_127
  <=> ! [X0,X1] :
        ( ~ subclass(cross_product(universal_class,universal_class),compose(X0,X1))
        | cross_product(universal_class,universal_class) = compose(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1604,plain,
    ( ! [X0,X1] :
        ( not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1)))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))),second(not_subclass_element(cross_product(universal_class,universal_class),compose(X0,X1))))))
        | cross_product(universal_class,universal_class) = compose(X0,X1) )
    | ~ spl0_127
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f1086]) ).

fof(f1086,plain,
    ( ! [X0,X1] :
        ( ~ subclass(cross_product(universal_class,universal_class),compose(X0,X1))
        | cross_product(universal_class,universal_class) = compose(X0,X1) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f15835,plain,
    ( spl0_694
    | ~ spl0_68
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1001,f970,f540,f15833]) ).

fof(f15833,plain,
    ( spl0_694
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,cross_product(X1,X2)),X3)
        | not_subclass_element(intersection(X0,cross_product(X1,X2)),X3) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3))),unordered_pair(first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),unordered_pair(second(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),second(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f1001,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,cross_product(X1,X2)),X3)
        | not_subclass_element(intersection(X0,cross_product(X1,X2)),X3) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3))),unordered_pair(first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),unordered_pair(second(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),second(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3))))) )
    | ~ spl0_68
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f541]) ).

fof(f15813,plain,
    ( spl0_693
    | ~ spl0_68
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f984,f966,f540,f15811]) ).

fof(f15811,plain,
    ( spl0_693
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(cross_product(X0,X1),X2),X3)
        | not_subclass_element(intersection(cross_product(X0,X1),X2),X3) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3))),unordered_pair(first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),unordered_pair(second(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),second(not_subclass_element(intersection(cross_product(X0,X1),X2),X3))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f984,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(cross_product(X0,X1),X2),X3)
        | not_subclass_element(intersection(cross_product(X0,X1),X2),X3) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3))),unordered_pair(first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),unordered_pair(second(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),second(not_subclass_element(intersection(cross_product(X0,X1),X2),X3))))) )
    | ~ spl0_68
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f541]) ).

fof(f15739,plain,
    ( spl0_692
    | ~ spl0_33
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1750,f1740,f318,f15737]) ).

fof(f15737,plain,
    ( spl0_692
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ subclass(compose(X1,regular(cross_product(unordered_pair(X2,X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f1750,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X2,X2),universal_class)
        | ~ subclass(compose(X1,regular(cross_product(unordered_pair(X2,X2),universal_class))),X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X3) )
    | ~ spl0_33
    | ~ spl0_177 ),
    inference(resolution,[],[f1741,f319]) ).

fof(f15490,plain,
    ( spl0_691
    | ~ spl0_346
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10700,f10670,f4626,f15488]) ).

fof(f15488,plain,
    ( spl0_691
  <=> ! [X0,X1] : subclass(intersection(intersection(subset_relation,X0),X1),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f4626,plain,
    ( spl0_346
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(intersection(X0,X1),X2),X3)
        | member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f10700,plain,
    ( ! [X0,X1] : subclass(intersection(intersection(subset_relation,X0),X1),null_class)
    | ~ spl0_346
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10679]) ).

fof(f10679,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(intersection(subset_relation,X0),X1),null_class)
        | subclass(intersection(intersection(subset_relation,X0),X1),null_class) )
    | ~ spl0_346
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f4627]) ).

fof(f4627,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X0)
        | subclass(intersection(intersection(X0,X1),X2),X3) )
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f4626]) ).

fof(f15486,plain,
    ( spl0_690
    | ~ spl0_94
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1716,f1656,f711,f15484]) ).

fof(f15484,plain,
    ( spl0_690
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f1716,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X4),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl0_94
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f712]) ).

fof(f15482,plain,
    ( spl0_689
    | ~ spl0_61
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1699,f1656,f490,f15480]) ).

fof(f15480,plain,
    ( spl0_689
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f15478,plain,
    ( spl0_688
    | ~ spl0_94
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1676,f1652,f711,f15476]) ).

fof(f15476,plain,
    ( spl0_688
  <=> ! [X4,X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f1676,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),compose(X3,X4))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_94
    | ~ spl0_175 ),
    inference(resolution,[],[f1653,f712]) ).

fof(f15474,plain,
    ( spl0_687
    | ~ spl0_61
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1659,f1652,f490,f15472]) ).

fof(f15472,plain,
    ( spl0_687
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f15470,plain,
    ( spl0_686
    | ~ spl0_157
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1607,f1598,f1351,f15468]) ).

fof(f15468,plain,
    ( spl0_686
  <=> ! [X4,X0,X3,X2,X1] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | ~ member(X3,X0)
        | ~ member(X4,X1)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f1351,plain,
    ( spl0_157
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | ~ subclass(cross_product(X3,X1),X4)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1607,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | ~ member(X3,X0)
        | ~ member(X4,X1)
        | member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),X2) )
    | ~ spl0_157
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f1352]) ).

fof(f1352,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ subclass(cross_product(X3,X1),X4)
        | ~ member(X2,X3)
        | ~ member(X0,X1)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X4) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1351]) ).

fof(f15466,plain,
    ( spl0_685
    | ~ spl0_134
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1295,f1265,f1135,f15464]) ).

fof(f15464,plain,
    ( spl0_685
  <=> ! [X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class))))),universal_class))))
        | ~ member(X1,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f1295,plain,
    ( ! [X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class))))),universal_class))))
        | ~ member(X1,universal_class)
        | null_class = cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class))))),universal_class) )
    | ~ spl0_134
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f1136]) ).

fof(f15462,plain,
    ( spl0_684
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f745,f711,f585,f15460]) ).

fof(f15460,plain,
    ( spl0_684
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X4)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f745,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ subclass(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X4)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X4)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f586]) ).

fof(f15402,plain,
    ( spl0_683
    | ~ spl0_348
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10698,f10670,f4634,f15400]) ).

fof(f15400,plain,
    ( spl0_683
  <=> ! [X0,X1] : subclass(intersection(X0,intersection(subset_relation,X1)),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f4634,plain,
    ( spl0_348
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,intersection(X1,X2)),X3)
        | member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f10698,plain,
    ( ! [X0,X1] : subclass(intersection(X0,intersection(subset_relation,X1)),null_class)
    | ~ spl0_348
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10681]) ).

fof(f10681,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,intersection(subset_relation,X1)),null_class)
        | subclass(intersection(X0,intersection(subset_relation,X1)),null_class) )
    | ~ spl0_348
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f4635]) ).

fof(f4635,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X1)
        | subclass(intersection(X0,intersection(X1,X2)),X3) )
    | ~ spl0_348 ),
    inference(avatar_component_clause,[],[f4634]) ).

fof(f15367,plain,
    ( spl0_682
    | ~ spl0_106
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1714,f1656,f826,f15365]) ).

fof(f15365,plain,
    ( spl0_682
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class)),universal_class)))))
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f15363,plain,
    ( spl0_681
    | ~ spl0_106
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1674,f1652,f826,f15361]) ).

fof(f15361,plain,
    ( spl0_681
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(X1),regular(X1)))),cross_product(universal_class,universal_class))
        | ~ subclass(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X2),universal_class)))))
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f15359,plain,
    ( spl0_680
    | ~ spl0_39
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1480,f1470,f365,f15357]) ).

fof(f15357,plain,
    ( spl0_680
  <=> ! [X0] :
        ( null_class = complement(complement(X0))
        | ~ member(complement(complement(X0)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(complement(X0)),complement(complement(X0))),universal_class)),universal_class))))))),X0)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(complement(X0)),complement(complement(X0))),universal_class)),universal_class))))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f1480,plain,
    ( ! [X0] :
        ( null_class = complement(complement(X0))
        | ~ member(complement(complement(X0)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(complement(X0)),complement(complement(X0))),universal_class)),universal_class))))))),X0)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(complement(X0)),complement(complement(X0))),universal_class)),universal_class))))))),universal_class) )
    | ~ spl0_39
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f366]) ).

fof(f15355,plain,
    ( spl0_679
    | ~ spl0_138
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1448,f1445,f1201,f15353]) ).

fof(f15353,plain,
    ( spl0_679
  <=> ! [X0,X1] :
        ( ~ inductive(unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))
        | not_subclass_element(unordered_pair(X0,X1),domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))) = X1
        | not_subclass_element(unordered_pair(X0,X1),domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f1201,plain,
    ( spl0_138
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | subclass(unordered_pair(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1445,plain,
    ( spl0_164
  <=> ! [X0] :
        ( ~ inductive(X0)
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))))
        | domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1448,plain,
    ( ! [X0,X1] :
        ( ~ inductive(unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))
        | not_subclass_element(unordered_pair(X0,X1),domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))) = X1
        | not_subclass_element(unordered_pair(X0,X1),domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(unordered_pair(X0,X1),universal_class)),universal_class))))) = X0 )
    | ~ spl0_138
    | ~ spl0_164 ),
    inference(resolution,[],[f1446,f1202]) ).

fof(f1202,plain,
    ( ! [X2,X0,X1] :
        ( subclass(unordered_pair(X0,X1),X2)
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0 )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f1446,plain,
    ( ! [X0] :
        ( ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))))
        | ~ inductive(X0)
        | domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))) = X0 )
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1445]) ).

fof(f15351,plain,
    ( spl0_678
    | ~ spl0_76
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f877,f826,f585,f15349]) ).

fof(f15349,plain,
    ( spl0_678
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | null_class = X0
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(X0),regular(X0)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(X0),regular(X0)))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f877,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))))
        | null_class = X0
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(X0),regular(X0)))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(regular(X0),regular(X0)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_76
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f586]) ).

fof(f15292,plain,
    ( spl0_677
    | ~ spl0_345
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10697,f10670,f4622,f15290]) ).

fof(f15290,plain,
    ( spl0_677
  <=> ! [X0,X1] : subclass(intersection(intersection(X0,subset_relation),X1),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f4622,plain,
    ( spl0_345
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(intersection(X0,X1),X2),X3)
        | member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f10697,plain,
    ( ! [X0,X1] : subclass(intersection(intersection(X0,subset_relation),X1),null_class)
    | ~ spl0_345
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10682]) ).

fof(f10682,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(intersection(X0,subset_relation),X1),null_class)
        | subclass(intersection(intersection(X0,subset_relation),X1),null_class) )
    | ~ spl0_345
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f4623]) ).

fof(f4623,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X1)
        | subclass(intersection(intersection(X0,X1),X2),X3) )
    | ~ spl0_345 ),
    inference(avatar_component_clause,[],[f4622]) ).

fof(f15270,plain,
    ( spl0_676
    | ~ spl0_94
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1876,f1854,f711,f15268]) ).

fof(f15268,plain,
    ( spl0_676
  <=> ! [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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f1876,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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,X3) )
    | ~ spl0_94
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f712]) ).

fof(f15266,plain,
    ( spl0_675
    | ~ spl0_94
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1857,f1850,f711,f15264]) ).

fof(f15264,plain,
    ( spl0_675
  <=> ! [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))),rotate(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f1857,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))),rotate(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,X3) )
    | ~ spl0_94
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f712]) ).

fof(f15262,plain,
    ( spl0_674
    | ~ spl0_97
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1766,f1762,f723,f15260]) ).

fof(f15260,plain,
    ( spl0_674
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f1766,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_180 ),
    inference(resolution,[],[f1763,f724]) ).

fof(f15258,plain,
    ( spl0_673
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1721,f1656,f326,f15256]) ).

fof(f15256,plain,
    ( spl0_673
  <=> ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f15217,plain,
    ( spl0_672
    | ~ spl0_230
    | spl0_385
    | ~ spl0_671 ),
    inference(avatar_split_clause,[],[f15213,f15208,f5760,f2341,f15215]) ).

fof(f15210,plain,
    ( spl0_671
    | ~ spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1229,f1205,f1189,f15208]) ).

fof(f1229,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),X1)
        | subclass(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) )
    | ~ spl0_137
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f1190]) ).

fof(f15197,plain,
    ( spl0_670
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1630,f1614,f326,f15195]) ).

fof(f15195,plain,
    ( spl0_670
  <=> ! [X0,X1] :
        ( ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X1),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f15193,plain,
    ( spl0_669
    | ~ spl0_347
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10692,f10670,f4630,f15191]) ).

fof(f15191,plain,
    ( spl0_669
  <=> ! [X0,X1] : subclass(intersection(X0,intersection(X1,subset_relation)),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f4630,plain,
    ( spl0_347
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,intersection(X1,X2)),X3)
        | member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f10692,plain,
    ( ! [X0,X1] : subclass(intersection(X0,intersection(X1,subset_relation)),null_class)
    | ~ spl0_347
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10687]) ).

fof(f10687,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,intersection(X1,subset_relation)),null_class)
        | subclass(intersection(X0,intersection(X1,subset_relation)),null_class) )
    | ~ spl0_347
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f4631]) ).

fof(f4631,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X2)
        | subclass(intersection(X0,intersection(X1,X2)),X3) )
    | ~ spl0_347 ),
    inference(avatar_component_clause,[],[f4630]) ).

fof(f15116,plain,
    ( spl0_668
    | spl0_549
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1107,f1093,f540,f10711,f15114]) ).

fof(f15114,plain,
    ( spl0_668
  <=> ! [X2] :
        ( ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),first(domain_of(intersection(element_relation,cross_product(universal_class,X2))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),second(domain_of(intersection(element_relation,cross_product(universal_class,X2))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f1107,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),first(domain_of(intersection(element_relation,cross_product(universal_class,X2))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,X2)))),second(domain_of(intersection(element_relation,cross_product(universal_class,X2))))))) )
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f541]) ).

fof(f14845,plain,
    ( spl0_667
    | ~ spl0_72
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1577,f1572,f567,f14843]) ).

fof(f14843,plain,
    ( spl0_667
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),element_relation)
        | ~ member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f1577,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(universal_class,universal_class))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),element_relation)
        | ~ member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) )
    | ~ spl0_72
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f568]) ).

fof(f14841,plain,
    ( spl0_666
    | ~ spl0_138
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1570,f1544,f1201,f14839]) ).

fof(f14839,plain,
    ( spl0_666
  <=> ! [X2,X0,X1] :
        ( subclass(regular(cross_product(X0,X1)),X2)
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = not_subclass_element(regular(cross_product(X0,X1)),X2)
        | unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = not_subclass_element(regular(cross_product(X0,X1)),X2)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f1570,plain,
    ( ! [X2,X0,X1] :
        ( subclass(regular(cross_product(X0,X1)),X2)
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = not_subclass_element(regular(cross_product(X0,X1)),X2)
        | unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = not_subclass_element(regular(cross_product(X0,X1)),X2)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_138
    | ~ spl0_170 ),
    inference(superposition,[],[f1202,f1545]) ).

fof(f14837,plain,
    ( spl0_665
    | ~ spl0_71
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1043,f1024,f557,f14835]) ).

fof(f14835,plain,
    ( spl0_665
  <=> ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)),universal_class))))))),X0)
        | null_class = X0
        | ~ member(regular(X0),universal_class)
        | null_class = regular(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)),universal_class))))))),X0)
        | null_class = X0
        | ~ member(regular(X0),universal_class)
        | null_class = regular(X0) )
    | ~ spl0_71
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f558]) ).

fof(f14833,plain,
    ( spl0_664
    | ~ spl0_216
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f7612,f7608,f2209,f14831]) ).

fof(f7612,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(regular(identity_relation),X0) )
    | ~ spl0_216
    | ~ spl0_429 ),
    inference(resolution,[],[f7609,f2211]) ).

fof(f14829,plain,
    ( spl0_663
    | ~ spl0_68
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f932,f895,f540,f14827]) ).

fof(f14827,plain,
    ( spl0_663
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(X1,X2))
        | regular(intersection(X0,cross_product(X1,X2))) = unordered_pair(unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),first(regular(intersection(X0,cross_product(X1,X2))))),unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),unordered_pair(second(regular(intersection(X0,cross_product(X1,X2)))),second(regular(intersection(X0,cross_product(X1,X2))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f932,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(X1,X2))
        | regular(intersection(X0,cross_product(X1,X2))) = unordered_pair(unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),first(regular(intersection(X0,cross_product(X1,X2))))),unordered_pair(first(regular(intersection(X0,cross_product(X1,X2)))),unordered_pair(second(regular(intersection(X0,cross_product(X1,X2)))),second(regular(intersection(X0,cross_product(X1,X2))))))) )
    | ~ spl0_68
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f541]) ).

fof(f14825,plain,
    ( spl0_662
    | ~ spl0_68
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f917,f891,f540,f14823]) ).

fof(f14823,plain,
    ( spl0_662
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(cross_product(X0,X1),X2)
        | regular(intersection(cross_product(X0,X1),X2)) = unordered_pair(unordered_pair(first(regular(intersection(cross_product(X0,X1),X2))),first(regular(intersection(cross_product(X0,X1),X2)))),unordered_pair(first(regular(intersection(cross_product(X0,X1),X2))),unordered_pair(second(regular(intersection(cross_product(X0,X1),X2))),second(regular(intersection(cross_product(X0,X1),X2)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f917,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(cross_product(X0,X1),X2)
        | regular(intersection(cross_product(X0,X1),X2)) = unordered_pair(unordered_pair(first(regular(intersection(cross_product(X0,X1),X2))),first(regular(intersection(cross_product(X0,X1),X2)))),unordered_pair(first(regular(intersection(cross_product(X0,X1),X2))),unordered_pair(second(regular(intersection(cross_product(X0,X1),X2))),second(regular(intersection(cross_product(X0,X1),X2)))))) )
    | ~ spl0_68
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f541]) ).

fof(f14789,plain,
    ( spl0_661
    | ~ spl0_9
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1877,f1854,f206,f14787]) ).

fof(f14787,plain,
    ( spl0_661
  <=> ! [X2,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(universal_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f1877,plain,
    ( ! [X2,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(universal_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_9
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f207]) ).

fof(f14785,plain,
    ( spl0_660
    | ~ spl0_9
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1858,f1850,f206,f14783]) ).

fof(f14783,plain,
    ( spl0_660
  <=> ! [X2,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))),rotate(universal_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f1858,plain,
    ( ! [X2,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))),rotate(universal_class))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_9
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f207]) ).

fof(f14496,plain,
    ( spl0_659
    | ~ spl0_295
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7124,f7108,f3228,f14494]) ).

fof(f3228,plain,
    ( spl0_295
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,regular(X1)),null_class)
        | null_class = X1
        | subclass(X0,regular(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f7124,plain,
    ( ! [X0] :
        ( subclass(subset_relation,regular(X0))
        | null_class = X0 )
    | ~ spl0_295
    | ~ spl0_414 ),
    inference(duplicate_literal_removal,[],[f7116]) ).

fof(f7116,plain,
    ( ! [X0] :
        ( subclass(subset_relation,regular(X0))
        | null_class = X0
        | subclass(subset_relation,regular(X0)) )
    | ~ spl0_295
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f3229]) ).

fof(f3229,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,regular(X1)),null_class)
        | null_class = X1
        | subclass(X0,regular(X1)) )
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f3228]) ).

fof(f14492,plain,
    ( spl0_658
    | ~ spl0_9
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1757,f1753,f206,f14490]) ).

fof(f14490,plain,
    ( spl0_658
  <=> ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f1753,plain,
    ( spl0_179
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),universal_class)
        | unordered_pair(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1757,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_9
    | ~ spl0_179 ),
    inference(resolution,[],[f1754,f207]) ).

fof(f1754,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),universal_class)
        | unordered_pair(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1753]) ).

fof(f14488,plain,
    ( spl0_657
    | ~ spl0_135
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1568,f1544,f1154,f14486]) ).

fof(f14486,plain,
    ( spl0_657
  <=> ! [X0,X1] :
        ( unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = regular(regular(cross_product(X0,X1)))
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = regular(regular(cross_product(X0,X1)))
        | null_class = regular(cross_product(X0,X1))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f1154,plain,
    ( spl0_135
  <=> ! [X0,X1] :
        ( regular(unordered_pair(X0,X1)) = X0
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1568,plain,
    ( ! [X0,X1] :
        ( unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = regular(regular(cross_product(X0,X1)))
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = regular(regular(cross_product(X0,X1)))
        | null_class = regular(cross_product(X0,X1))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_135
    | ~ spl0_170 ),
    inference(superposition,[],[f1155,f1545]) ).

fof(f1155,plain,
    ( ! [X0,X1] :
        ( regular(unordered_pair(X0,X1)) = X1
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f14484,plain,
    ( spl0_656
    | ~ spl0_124
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1468,f1451,f1024,f14482]) ).

fof(f14482,plain,
    ( spl0_656
  <=> ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,regular(X1))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f1468,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,regular(X1))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_124
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f1025]) ).

fof(f14480,plain,
    ( spl0_655
    | ~ spl0_125
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1465,f1451,f1028,f14478]) ).

fof(f14478,plain,
    ( spl0_655
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f1465,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),identity_relation) )
    | ~ spl0_125
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f1029]) ).

fof(f14434,plain,
    ( spl0_654
    | ~ spl0_34
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1609,f1598,f322,f14432]) ).

fof(f14432,plain,
    ( spl0_654
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | ~ subclass(X2,cross_product(X0,X1))
        | cross_product(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f1609,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | ~ subclass(X2,cross_product(X0,X1))
        | cross_product(X0,X1) = X2 )
    | ~ spl0_34
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f323]) ).

fof(f14430,plain,
    ( spl0_653
    | ~ spl0_73
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1581,f1572,f572,f14428]) ).

fof(f14428,plain,
    ( spl0_653
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),compose(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism2(X0,X1,X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f1581,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),compose(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism2(X0,X1,X2),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),universal_class),X4),universal_class)))),universal_class),X3),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f573]) ).

fof(f14426,plain,
    ( spl0_652
    | ~ spl0_77
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f774,f723,f601,f14424]) ).

fof(f774,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation) )
    | ~ spl0_77
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f602]) ).

fof(f14421,plain,
    ( spl0_651
    | ~ spl0_33
    | ~ spl0_404 ),
    inference(avatar_split_clause,[],[f6864,f6851,f318,f14419]) ).

fof(f6864,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(regular(subset_relation),X0) )
    | ~ spl0_33
    | ~ spl0_404 ),
    inference(resolution,[],[f6853,f319]) ).

fof(f6853,plain,
    ( member(regular(subset_relation),null_class)
    | ~ spl0_404 ),
    inference(avatar_component_clause,[],[f6851]) ).

fof(f14321,plain,
    ( spl0_650
    | ~ spl0_44
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1682,f1652,f390,f14319]) ).

fof(f14319,plain,
    ( spl0_650
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),compose(X2,X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f1682,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),compose(X2,X0))
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) )
    | ~ spl0_44
    | ~ spl0_175 ),
    inference(superposition,[],[f1653,f391]) ).

fof(f14317,plain,
    ( spl0_649
    | ~ spl0_118
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1567,f1544,f912,f14315]) ).

fof(f14315,plain,
    ( spl0_649
  <=> ! [X2,X0,X1] :
        ( ~ subclass(regular(cross_product(X0,X1)),X2)
        | member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),X2)
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f912,plain,
    ( spl0_118
  <=> ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X1,X2)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1567,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(regular(cross_product(X0,X1)),X2)
        | member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),X2)
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_118
    | ~ spl0_170 ),
    inference(superposition,[],[f913,f1545]) ).

fof(f913,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X1,X2)
        | ~ member(X1,universal_class) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f14313,plain,
    ( spl0_648
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1455,f1451,f382,f14311]) ).

fof(f14311,plain,
    ( spl0_648
  <=> ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,unordered_pair(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f1455,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,unordered_pair(X1,X2))
        | ~ member(X0,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = X1
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))) = X2 )
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f383]) ).

fof(f14282,plain,
    ( spl0_647
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1703,f1656,f220,f14280]) ).

fof(f14280,plain,
    ( spl0_647
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f1703,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(resolution,[],[f1657,f221]) ).

fof(f14278,plain,
    ( spl0_646
    | ~ spl0_12
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1663,f1652,f220,f14276]) ).

fof(f14276,plain,
    ( spl0_646
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X1),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f14274,plain,
    ( spl0_645
    | ~ spl0_73
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1553,f1544,f572,f14272]) ).

fof(f14272,plain,
    ( spl0_645
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),compose(X2,X3))
        | member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f1553,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),compose(X2,X3))
        | member(second(regular(cross_product(X0,X1))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_73
    | ~ spl0_170 ),
    inference(superposition,[],[f573,f1545]) ).

fof(f14252,plain,
    ( spl0_644
    | ~ spl0_66
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1770,f1762,f525,f14250]) ).

fof(f14250,plain,
    ( spl0_644
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f1770,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_180 ),
    inference(duplicate_literal_removal,[],[f1765]) ).

fof(f1765,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class))))
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_180 ),
    inference(resolution,[],[f1763,f526]) ).

fof(f14248,plain,
    ( spl0_643
    | ~ spl0_121
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1601,f1598,f974,f14246]) ).

fof(f14246,plain,
    ( spl0_643
  <=> ! [X0] :
        ( not_subclass_element(cross_product(universal_class,universal_class),X0) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),X0)),first(not_subclass_element(cross_product(universal_class,universal_class),X0))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),X0)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),X0)),second(not_subclass_element(cross_product(universal_class,universal_class),X0)))))
        | cross_product(universal_class,universal_class) = X0
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f974,plain,
    ( spl0_121
  <=> ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | cross_product(universal_class,universal_class) = X0
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1601,plain,
    ( ! [X0] :
        ( not_subclass_element(cross_product(universal_class,universal_class),X0) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),X0)),first(not_subclass_element(cross_product(universal_class,universal_class),X0))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),X0)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),X0)),second(not_subclass_element(cross_product(universal_class,universal_class),X0)))))
        | cross_product(universal_class,universal_class) = X0
        | ~ function(X0) )
    | ~ spl0_121
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f975]) ).

fof(f975,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | cross_product(universal_class,universal_class) = X0
        | ~ function(X0) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f14234,plain,
    ( spl0_642
    | ~ spl0_26
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1562,f1544,f280,f14232]) ).

fof(f14232,plain,
    ( spl0_642
  <=> ! [X0,X1] :
        ( member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),regular(cross_product(X0,X1)))
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f1562,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),regular(cross_product(X0,X1)))
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_26
    | ~ spl0_170 ),
    inference(superposition,[],[f281,f1545]) ).

fof(f14227,plain,
    ( spl0_641
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1582,f1572,f318,f14225]) ).

fof(f14225,plain,
    ( spl0_641
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),X3)
        | ~ operation(X2)
        | ~ subclass(X3,X4)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f1582,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),X3)
        | ~ operation(X2)
        | ~ subclass(X3,X4)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X4) )
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f319]) ).

fof(f14223,plain,
    ( spl0_215
    | ~ spl0_640
    | ~ spl0_34
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f10875,f10804,f322,f14220,f2205]) ).

fof(f10875,plain,
    ( ~ subclass(null_class,identity_relation)
    | null_class = identity_relation
    | ~ spl0_34
    | ~ spl0_553 ),
    inference(resolution,[],[f10806,f323]) ).

fof(f10806,plain,
    ( subclass(identity_relation,null_class)
    | ~ spl0_553 ),
    inference(avatar_component_clause,[],[f10804]) ).

fof(f14215,plain,
    ( ~ spl0_638
    | ~ spl0_639
    | spl0_371
    | ~ spl0_112
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1483,f1470,f852,f5637,f14212,f14208]) ).

fof(f14208,plain,
    ( spl0_638
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),complement(domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f14212,plain,
    ( spl0_639
  <=> member(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f5637,plain,
    ( spl0_371
  <=> null_class = complement(domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f1483,plain,
    ( null_class = complement(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ member(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
    | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),complement(domain_of(flip(cross_product(subset_relation,universal_class))))),universal_class)),universal_class))))))),identity_relation)
    | ~ spl0_112
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f853]) ).

fof(f14189,plain,
    ( spl0_637
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1587,f1572,f284,f14187]) ).

fof(f14187,plain,
    ( spl0_637
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(X3,X4))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f1587,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(X3,X4))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) )
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f285]) ).

fof(f14185,plain,
    ( spl0_636
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1586,f1572,f288,f14183]) ).

fof(f14183,plain,
    ( spl0_636
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(X3,X4))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f1586,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(X3,X4))
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X4) )
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f289]) ).

fof(f14080,plain,
    ( spl0_635
    | ~ spl0_18
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1590,f1572,f245,f14078]) ).

fof(f14078,plain,
    ( spl0_635
  <=> ! [X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),complement(X3))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f1590,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),complement(X3))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),X3) )
    | ~ spl0_18
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f246]) ).

fof(f14076,plain,
    ( spl0_634
    | ~ spl0_42
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1563,f1544,f382,f14074]) ).

fof(f14074,plain,
    ( spl0_634
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,regular(cross_product(X0,X1)))
        | unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = X2
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = X2
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f1563,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,regular(cross_product(X0,X1)))
        | unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))) = X2
        | unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))) = X2
        | cross_product(X0,X1) = null_class )
    | ~ spl0_42
    | ~ spl0_170 ),
    inference(superposition,[],[f383,f1545]) ).

fof(f14060,plain,
    ( spl0_633
    | ~ spl0_89
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1595,f1572,f661,f14058]) ).

fof(f14058,plain,
    ( spl0_633
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),identity_relation)
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f1595,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),identity_relation)
        | ~ operation(X2)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),subset_relation) )
    | ~ spl0_89
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f662]) ).

fof(f14056,plain,
    ( spl0_632
    | ~ spl0_113
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1565,f1544,f856,f14054]) ).

fof(f14054,plain,
    ( spl0_632
  <=> ! [X0,X1] :
        ( ~ inductive(regular(cross_product(X0,X1)))
        | null_class = unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))
        | null_class = unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f856,plain,
    ( spl0_113
  <=> ! [X0,X1] :
        ( null_class = X0
        | null_class = X1
        | ~ inductive(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1565,plain,
    ( ! [X0,X1] :
        ( ~ inductive(regular(cross_product(X0,X1)))
        | null_class = unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))))
        | null_class = unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_113
    | ~ spl0_170 ),
    inference(superposition,[],[f857,f1545]) ).

fof(f857,plain,
    ( ! [X0,X1] :
        ( ~ inductive(unordered_pair(X0,X1))
        | null_class = X1
        | null_class = X0 )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f13656,plain,
    ( ~ spl0_631
    | ~ spl0_94
    | spl0_624 ),
    inference(avatar_split_clause,[],[f13598,f13592,f711,f13653]) ).

fof(f13653,plain,
    ( spl0_631
  <=> subclass(universal_class,subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f13592,plain,
    ( spl0_624
  <=> member(unordered_pair(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f13598,plain,
    ( ~ subclass(universal_class,subset_relation)
    | ~ spl0_94
    | spl0_624 ),
    inference(resolution,[],[f13594,f712]) ).

fof(f13594,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation)
    | spl0_624 ),
    inference(avatar_component_clause,[],[f13592]) ).

fof(f13622,plain,
    ( spl0_630
    | ~ spl0_33
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1541,f1537,f318,f13620]) ).

fof(f13620,plain,
    ( spl0_630
  <=> ! [X0,X1] :
        ( ~ member(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(successor_relation,X1)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f1541,plain,
    ( ! [X0,X1] :
        ( ~ member(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(successor_relation,X1)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),X1) )
    | ~ spl0_33
    | ~ spl0_169 ),
    inference(resolution,[],[f1538,f319]) ).

fof(f13618,plain,
    ( spl0_629
    | ~ spl0_27
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1522,f1493,f284,f13616]) ).

fof(f13616,plain,
    ( spl0_629
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | ~ member(intersection(intersection(X0,X1),X2),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(X0,X1),X2),intersection(intersection(X0,X1),X2)),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f1522,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | ~ member(intersection(intersection(X0,X1),X2),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(X0,X1),X2),intersection(intersection(X0,X1),X2)),universal_class)),universal_class))))))),X0) )
    | ~ spl0_27
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f285]) ).

fof(f13614,plain,
    ( spl0_628
    | ~ spl0_28
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1521,f1493,f288,f13612]) ).

fof(f13612,plain,
    ( spl0_628
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | ~ member(intersection(intersection(X0,X1),X2),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(X0,X1),X2),intersection(intersection(X0,X1),X2)),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f1521,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | ~ member(intersection(intersection(X0,X1),X2),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(X0,X1),X2),intersection(intersection(X0,X1),X2)),universal_class)),universal_class))))))),X1) )
    | ~ spl0_28
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f289]) ).

fof(f13610,plain,
    ( spl0_627
    | ~ spl0_27
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1501,f1489,f284,f13608]) ).

fof(f13608,plain,
    ( spl0_627
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | ~ member(intersection(X0,intersection(X1,X2)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(X1,X2)),intersection(X0,intersection(X1,X2))),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f1501,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | ~ member(intersection(X0,intersection(X1,X2)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(X1,X2)),intersection(X0,intersection(X1,X2))),universal_class)),universal_class))))))),X1) )
    | ~ spl0_27
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f285]) ).

fof(f13606,plain,
    ( spl0_626
    | ~ spl0_28
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1500,f1489,f288,f13604]) ).

fof(f13604,plain,
    ( spl0_626
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | ~ member(intersection(X0,intersection(X1,X2)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(X1,X2)),intersection(X0,intersection(X1,X2))),universal_class)),universal_class))))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f1500,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | ~ member(intersection(X0,intersection(X1,X2)),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(X1,X2)),intersection(X0,intersection(X1,X2))),universal_class)),universal_class))))))),X2) )
    | ~ spl0_28
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f289]) ).

fof(f13602,plain,
    ( spl0_625
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1244,f1205,f490,f390,f13600]) ).

fof(f13600,plain,
    ( spl0_625
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X2,cross_product(unordered_pair(not_subclass_element(X0,intersection(X1,domain_of(X2))),not_subclass_element(X0,intersection(X1,domain_of(X2)))),universal_class))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),X1)
        | subclass(X0,intersection(X1,domain_of(X2)))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f1244,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X2,cross_product(unordered_pair(not_subclass_element(X0,intersection(X1,domain_of(X2))),not_subclass_element(X0,intersection(X1,domain_of(X2)))),universal_class))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),X1)
        | subclass(X0,intersection(X1,domain_of(X2)))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),universal_class) )
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_139 ),
    inference(forward_demodulation,[],[f1232,f391]) ).

fof(f1232,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),X1)
        | subclass(X0,intersection(X1,domain_of(X2)))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(X2))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_subclass_element(X0,intersection(X1,domain_of(X2))),not_subclass_element(X0,intersection(X1,domain_of(X2)))),universal_class),X2) )
    | ~ spl0_61
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f491]) ).

fof(f13595,plain,
    ( ~ spl0_624
    | ~ spl0_325
    | spl0_623 ),
    inference(avatar_split_clause,[],[f13590,f13586,f3977,f13592]) ).

fof(f13586,plain,
    ( spl0_623
  <=> member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f13590,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation)
    | ~ spl0_325
    | spl0_623 ),
    inference(forward_demodulation,[],[f13588,f3979]) ).

fof(f13588,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation)
    | spl0_623 ),
    inference(avatar_component_clause,[],[f13586]) ).

fof(f13589,plain,
    ( ~ spl0_623
    | ~ spl0_97
    | spl0_184 ),
    inference(avatar_split_clause,[],[f1842,f1836,f723,f13586]) ).

fof(f1842,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),subset_relation)
    | ~ spl0_97
    | spl0_184 ),
    inference(resolution,[],[f1838,f724]) ).

fof(f13439,plain,
    ( spl0_622
    | spl0_110
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1603,f1598,f843,f13436]) ).

fof(f13436,plain,
    ( spl0_622
  <=> not_subclass_element(cross_product(universal_class,universal_class),successor_relation) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),second(not_subclass_element(cross_product(universal_class,universal_class),successor_relation))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f1603,plain,
    ( not_subclass_element(cross_product(universal_class,universal_class),successor_relation) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)),second(not_subclass_element(cross_product(universal_class,universal_class),successor_relation)))))
    | spl0_110
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f845]) ).

fof(f13434,plain,
    ( spl0_621
    | spl0_108
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1602,f1598,f834,f13431]) ).

fof(f13431,plain,
    ( spl0_621
  <=> not_subclass_element(cross_product(universal_class,universal_class),element_relation) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),first(not_subclass_element(cross_product(universal_class,universal_class),element_relation))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),second(not_subclass_element(cross_product(universal_class,universal_class),element_relation))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f1602,plain,
    ( not_subclass_element(cross_product(universal_class,universal_class),element_relation) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),first(not_subclass_element(cross_product(universal_class,universal_class),element_relation))),unordered_pair(first(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),unordered_pair(second(not_subclass_element(cross_product(universal_class,universal_class),element_relation)),second(not_subclass_element(cross_product(universal_class,universal_class),element_relation)))))
    | spl0_108
    | ~ spl0_172 ),
    inference(resolution,[],[f1599,f836]) ).

fof(f13265,plain,
    ( spl0_620
    | ~ spl0_129
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1150,f1135,f1093,f13263]) ).

fof(f13263,plain,
    ( spl0_620
  <=> ! [X0] :
        ( null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X0))),domain_of(intersection(element_relation,cross_product(universal_class,X0)))),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X0))),domain_of(intersection(element_relation,cross_product(universal_class,X0)))),universal_class))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( null_class = cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X0))),domain_of(intersection(element_relation,cross_product(universal_class,X0)))),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,X0))),domain_of(intersection(element_relation,cross_product(universal_class,X0)))),universal_class))))
        | ~ member(X0,universal_class) )
    | ~ spl0_129
    | ~ spl0_134 ),
    inference(resolution,[],[f1136,f1094]) ).

fof(f13261,plain,
    ( spl0_619
    | ~ spl0_79
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f735,f711,f611,f13259]) ).

fof(f13259,plain,
    ( spl0_619
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,flip(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))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f735,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,flip(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))),X0) )
    | ~ spl0_79
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f612]) ).

fof(f13257,plain,
    ( spl0_618
    | ~ spl0_78
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f734,f711,f607,f13255]) ).

fof(f13255,plain,
    ( spl0_618
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,rotate(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))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f734,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,rotate(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))),X0) )
    | ~ spl0_78
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f608]) ).

fof(f13208,plain,
    ( spl0_617
    | ~ spl0_67
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1580,f1572,f536,f13206]) ).

fof(f13206,plain,
    ( spl0_617
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),successor_relation)
        | ~ operation(X2)
        | not_homomorphism2(X0,X1,X2) = complement(intersection(complement(not_homomorphism1(X0,X1,X2)),complement(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f1580,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),successor_relation)
        | ~ operation(X2)
        | not_homomorphism2(X0,X1,X2) = complement(intersection(complement(not_homomorphism1(X0,X1,X2)),complement(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2))))) )
    | ~ spl0_67
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f537]) ).

fof(f13204,plain,
    ( spl0_616
    | ~ spl0_124
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1319,f1269,f1024,f13202]) ).

fof(f13202,plain,
    ( spl0_616
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),null_class)
        | ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f1319,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),null_class)
        | ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X0)
        | null_class = X0 )
    | ~ spl0_124
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f1025]) ).

fof(f13087,plain,
    ( spl0_615
    | ~ spl0_117
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1566,f1544,f908,f13085]) ).

fof(f13085,plain,
    ( spl0_615
  <=> ! [X2,X0,X1] :
        ( ~ subclass(regular(cross_product(X0,X1)),X2)
        | member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),X2)
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f908,plain,
    ( spl0_117
  <=> ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X0,X2)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1566,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(regular(cross_product(X0,X1)),X2)
        | member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),X2)
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_117
    | ~ spl0_170 ),
    inference(superposition,[],[f909,f1545]) ).

fof(f909,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X0,X2)
        | ~ member(X0,universal_class) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f13083,plain,
    ( spl0_614
    | ~ spl0_67
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1551,f1544,f536,f13081]) ).

fof(f13081,plain,
    ( spl0_614
  <=> ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),successor_relation)
        | second(regular(cross_product(X0,X1))) = complement(intersection(complement(first(regular(cross_product(X0,X1)))),complement(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f1551,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),successor_relation)
        | second(regular(cross_product(X0,X1))) = complement(intersection(complement(first(regular(cross_product(X0,X1)))),complement(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_67
    | ~ spl0_170 ),
    inference(superposition,[],[f537,f1545]) ).

fof(f13079,plain,
    ( spl0_613
    | ~ spl0_261
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10705,f10670,f2748,f13077]) ).

fof(f10705,plain,
    ( ! [X0] :
        ( subclass(X0,null_class)
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_261
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10674]) ).

fof(f10674,plain,
    ( ! [X0] :
        ( subclass(X0,null_class)
        | subclass(X0,null_class)
        | ~ subclass(X0,identity_relation) )
    | ~ spl0_261
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f2749]) ).

fof(f13075,plain,
    ( spl0_612
    | ~ spl0_18
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1525,f1493,f245,f13073]) ).

fof(f13073,plain,
    ( spl0_612
  <=> ! [X0,X1] :
        ( null_class = intersection(complement(X0),X1)
        | ~ member(intersection(complement(X0),X1),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(complement(X0),X1),intersection(complement(X0),X1)),universal_class)),universal_class))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f1525,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(complement(X0),X1)
        | ~ member(intersection(complement(X0),X1),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(complement(X0),X1),intersection(complement(X0),X1)),universal_class)),universal_class))))))),X0) )
    | ~ spl0_18
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f246]) ).

fof(f12768,plain,
    ( spl0_611
    | ~ spl0_116
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10695,f10670,f899,f12766]) ).

fof(f10695,plain,
    ( ! [X0] :
        ( subclass(X0,null_class)
        | ~ subclass(X0,subset_relation) )
    | ~ spl0_116
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10684]) ).

fof(f10684,plain,
    ( ! [X0] :
        ( subclass(X0,null_class)
        | ~ subclass(X0,subset_relation)
        | subclass(X0,null_class) )
    | ~ spl0_116
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f900]) ).

fof(f12380,plain,
    ( spl0_610
    | ~ spl0_325
    | ~ spl0_519 ),
    inference(avatar_split_clause,[],[f10122,f10117,f3977,f12378]) ).

fof(f12378,plain,
    ( spl0_610
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f10117,plain,
    ( spl0_519
  <=> ! [X0] :
        ( null_class = intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f10122,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) )
    | ~ spl0_325
    | ~ spl0_519 ),
    inference(forward_demodulation,[],[f10121,f3979]) ).

fof(f10121,plain,
    ( ! [X0] :
        ( ~ member(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_325
    | ~ spl0_519 ),
    inference(forward_demodulation,[],[f10120,f3979]) ).

fof(f10120,plain,
    ( ! [X0] :
        ( null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_325
    | ~ spl0_519 ),
    inference(forward_demodulation,[],[f10118,f3979]) ).

fof(f10118,plain,
    ( ! [X0] :
        ( null_class = intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_519 ),
    inference(avatar_component_clause,[],[f10117]) ).

fof(f12376,plain,
    ( spl0_609
    | ~ spl0_325
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f10102,f10097,f3977,f12374]) ).

fof(f12374,plain,
    ( spl0_609
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f10097,plain,
    ( spl0_516
  <=> ! [X0] :
        ( null_class = intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f10102,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_325
    | ~ spl0_516 ),
    inference(forward_demodulation,[],[f10101,f3979]) ).

fof(f10101,plain,
    ( ! [X0] :
        ( ~ member(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_325
    | ~ spl0_516 ),
    inference(forward_demodulation,[],[f10100,f3979]) ).

fof(f10100,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_325
    | ~ spl0_516 ),
    inference(forward_demodulation,[],[f10098,f3979]) ).

fof(f10098,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_516 ),
    inference(avatar_component_clause,[],[f10097]) ).

fof(f11861,plain,
    ( spl0_608
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11551,f9850,f4891,f1276,f615,f11859]) ).

fof(f11859,plain,
    ( spl0_608
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f11551,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_80
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4809,f9916]) ).

fof(f11784,plain,
    ( spl0_606
    | ~ spl0_607
    | ~ spl0_148
    | ~ spl0_187
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11541,f9850,f4891,f1854,f1276,f11781,f11778]) ).

fof(f11778,plain,
    ( spl0_606
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),flip(X1))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f11541,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),cross_product(universal_class,universal_class))
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(X0,universal_class) )
    | ~ spl0_148
    | ~ spl0_187
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11540,f9916]) ).

fof(f11540,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),flip(X1))
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_187
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4817,f9916]) ).

fof(f4817,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),X1)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class))))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),unordered_pair(X0,X0))),flip(X1))
        | ~ member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(first(null_class),first(null_class)))),cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_187 ),
    inference(superposition,[],[f1855,f1278]) ).

fof(f11737,plain,
    ( spl0_605
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11550,f9850,f4891,f1276,f621,f11735]) ).

fof(f11735,plain,
    ( spl0_605
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f11550,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_81
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4810,f9916]) ).

fof(f11681,plain,
    ( spl0_604
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11553,f9850,f4891,f1276,f607,f11679]) ).

fof(f11553,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),unordered_pair(X0,X0))),u)),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),rotate(X1)) )
    | ~ spl0_78
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4807,f9916]) ).

fof(f11614,plain,
    ( spl0_603
    | ~ spl0_79
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11552,f9850,f4891,f1276,f611,f11612]) ).

fof(f11552,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u))),unordered_pair(unordered_pair(unordered_pair(second(null_class),second(null_class)),unordered_pair(second(null_class),u)),unordered_pair(X0,X0))),X1)
        | ~ member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(X0,X0))),flip(X1)) )
    | ~ spl0_79
    | ~ spl0_148
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4808,f9916]) ).

fof(f11608,plain,
    ( ~ spl0_155
    | ~ spl0_601
    | spl0_602
    | ~ spl0_148
    | ~ spl0_181
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11545,f9850,f4891,f1772,f1276,f11606,f11602,f1340]) ).

fof(f11545,plain,
    ( ! [X0] :
        ( null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)
        | member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_181
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11544,f9916]) ).

fof(f11544,plain,
    ( ! [X0] :
        ( member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X0),universal_class)))),universal_class)),X0))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X0),universal_class)))),universal_class) )
    | ~ spl0_148
    | ~ spl0_181
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4815,f9916]) ).

fof(f4815,plain,
    ( ! [X0] :
        ( member(null_class,compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X0),universal_class)))),universal_class)),X0))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X0),universal_class)))),universal_class) )
    | ~ spl0_148
    | ~ spl0_181 ),
    inference(superposition,[],[f1773,f1278]) ).

fof(f11600,plain,
    ( ~ spl0_599
    | ~ spl0_155
    | spl0_600
    | ~ spl0_148
    | ~ spl0_180
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11546,f9850,f4891,f1762,f1276,f11598,f1340,f11594]) ).

fof(f11546,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class))))
        | ~ member(null_class,cross_product(universal_class,universal_class))
        | member(null_class,compose(X0,X1))
        | ~ member(second(null_class),universal_class) )
    | ~ spl0_148
    | ~ spl0_180
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4814,f9916]) ).

fof(f4814,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,cross_product(universal_class,universal_class))
        | member(null_class,compose(X0,X1))
        | ~ member(second(null_class),universal_class)
        | null_class = intersection(cross_product(unordered_pair(second(null_class),second(null_class)),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))),universal_class),X0),universal_class)))) )
    | ~ spl0_148
    | ~ spl0_180 ),
    inference(superposition,[],[f1763,f1278]) ).

fof(f11587,plain,
    ( ~ spl0_155
    | spl0_597
    | spl0_598
    | ~ spl0_148
    | ~ spl0_177
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11548,f9850,f4891,f1740,f1276,f11584,f11581,f1340]) ).

fof(f11581,plain,
    ( spl0_597
  <=> ! [X0] :
        ( member(null_class,compose(X0,regular(cross_product(u,universal_class))))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X0),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f11548,plain,
    ( ! [X0] :
        ( null_class = cross_product(u,universal_class)
        | member(null_class,compose(X0,regular(cross_product(u,universal_class))))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class)) )
    | ~ spl0_148
    | ~ spl0_177
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11547,f9916]) ).

fof(f11547,plain,
    ( ! [X0] :
        ( member(null_class,compose(X0,regular(cross_product(u,universal_class))))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(null_class),first(null_class)),universal_class) )
    | ~ spl0_148
    | ~ spl0_177
    | ~ spl0_366
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f4813,f9916]) ).

fof(f4813,plain,
    ( ! [X0] :
        ( member(null_class,compose(X0,regular(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class))))
        | ~ member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(null_class,cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(first(null_class),first(null_class)),universal_class) )
    | ~ spl0_148
    | ~ spl0_177 ),
    inference(superposition,[],[f1741,f1278]) ).

fof(f11572,plain,
    ( spl0_596
    | ~ spl0_403
    | ~ spl0_518 ),
    inference(avatar_split_clause,[],[f11478,f10109,f6844,f11569]) ).

fof(f11478,plain,
    ( member(u,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_403
    | ~ spl0_518 ),
    inference(forward_demodulation,[],[f6846,f10111]) ).

fof(f11509,plain,
    ( spl0_242
    | spl0_196
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f3173,f2341,f1975,f2438]) ).

fof(f11505,plain,
    ( ~ spl0_595
    | spl0_196
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f11482,f2341,f1975,f11502]) ).

fof(f11482,plain,
    ( ~ member(subset_relation,subset_relation)
    | spl0_196
    | ~ spl0_230 ),
    inference(forward_demodulation,[],[f1977,f3173]) ).

fof(f11498,plain,
    ( ~ spl0_594
    | spl0_148
    | spl0_196
    | ~ spl0_230
    | ~ spl0_366
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f11488,f9850,f7172,f4891,f2341,f1975,f1276,f11495]) ).

fof(f11488,plain,
    ( subset_relation != unordered_pair(u,u)
    | spl0_148
    | spl0_196
    | ~ spl0_230
    | ~ spl0_366
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11487,f3173]) ).

fof(f11487,plain,
    ( null_class != unordered_pair(u,u)
    | spl0_148
    | ~ spl0_366
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f11486,f9916]) ).

fof(f11486,plain,
    ( null_class != unordered_pair(unordered_pair(first(null_class),first(null_class)),u)
    | spl0_148
    | ~ spl0_425
    | ~ spl0_503 ),
    inference(forward_demodulation,[],[f1277,f9917]) ).

fof(f1277,plain,
    ( 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))))
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f11493,plain,
    ( ~ spl0_593
    | spl0_155
    | spl0_196
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f11485,f2341,f1975,f1340,f11490]) ).

fof(f11485,plain,
    ( ~ member(subset_relation,cross_product(universal_class,universal_class))
    | spl0_155
    | spl0_196
    | ~ spl0_230 ),
    inference(forward_demodulation,[],[f1342,f3173]) ).

fof(f1342,plain,
    ( ~ member(null_class,cross_product(universal_class,universal_class))
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f11451,plain,
    ( spl0_592
    | ~ spl0_367
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f11447,f11444,f4931,f11449]) ).

fof(f11444,plain,
    ( spl0_591
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f11447,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class) )
    | ~ spl0_367
    | ~ spl0_591 ),
    inference(forward_demodulation,[],[f11445,f4933]) ).

fof(f11445,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(X0,complement(X1)),universal_class)
        | null_class = intersection(X0,complement(X1)) )
    | ~ spl0_591 ),
    inference(avatar_component_clause,[],[f11444]) ).

fof(f11446,plain,
    ( spl0_591
    | ~ spl0_18
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1504,f1489,f245,f11444]) ).

fof(f1504,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,complement(X1))
        | ~ member(intersection(X0,complement(X1)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,complement(X1)),intersection(X0,complement(X1))),universal_class)),universal_class))))))),X1) )
    | ~ spl0_18
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f246]) ).

fof(f11441,plain,
    ( spl0_590
    | ~ spl0_275
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10704,f10670,f2921,f11439]) ).

fof(f11439,plain,
    ( spl0_590
  <=> ! [X0] : subclass(intersection(identity_relation,X0),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f2921,plain,
    ( spl0_275
  <=> ! [X0,X1] :
        ( subclass(intersection(identity_relation,X0),X1)
        | member(not_subclass_element(intersection(identity_relation,X0),X1),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f10704,plain,
    ( ! [X0] : subclass(intersection(identity_relation,X0),null_class)
    | ~ spl0_275
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10675]) ).

fof(f10675,plain,
    ( ! [X0] :
        ( subclass(intersection(identity_relation,X0),null_class)
        | subclass(intersection(identity_relation,X0),null_class) )
    | ~ spl0_275
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f2922]) ).

fof(f2922,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(identity_relation,X0),X1),subset_relation)
        | subclass(intersection(identity_relation,X0),X1) )
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f2921]) ).

fof(f11437,plain,
    ( ~ spl0_589
    | ~ spl0_367
    | spl0_587 ),
    inference(avatar_split_clause,[],[f11432,f11424,f4931,f11434]) ).

fof(f11434,plain,
    ( spl0_589
  <=> member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(cross_product(universal_class,universal_class)),complement(cross_product(universal_class,universal_class))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f11424,plain,
    ( spl0_587
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(cross_product(universal_class,universal_class)),complement(cross_product(universal_class,universal_class))),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f11432,plain,
    ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(cross_product(universal_class,universal_class)),complement(cross_product(universal_class,universal_class))),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_367
    | spl0_587 ),
    inference(forward_demodulation,[],[f11426,f4933]) ).

fof(f11426,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(cross_product(universal_class,universal_class)),complement(cross_product(universal_class,universal_class))),universal_class)),universal_class))))))),subset_relation)
    | spl0_587 ),
    inference(avatar_component_clause,[],[f11424]) ).

fof(f11431,plain,
    ( ~ spl0_587
    | ~ spl0_588
    | spl0_290
    | ~ spl0_97
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1476,f1470,f723,f3157,f11428,f11424]) ).

fof(f11428,plain,
    ( spl0_588
  <=> member(complement(cross_product(universal_class,universal_class)),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f3157,plain,
    ( spl0_290
  <=> null_class = complement(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f1476,plain,
    ( null_class = complement(cross_product(universal_class,universal_class))
    | ~ member(complement(cross_product(universal_class,universal_class)),universal_class)
    | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(cross_product(universal_class,universal_class)),complement(cross_product(universal_class,universal_class))),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_97
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f724]) ).

fof(f11363,plain,
    ( spl0_586
    | ~ spl0_367
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f11359,f11356,f4931,f11361]) ).

fof(f11361,plain,
    ( spl0_586
  <=> ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),null_class)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(first(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f11356,plain,
    ( spl0_585
  <=> ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(first(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f11359,plain,
    ( ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),null_class)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(first(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_367
    | ~ spl0_585 ),
    inference(forward_demodulation,[],[f11357,f4933]) ).

fof(f11357,plain,
    ( ! [X0,X1] :
        ( ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(first(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_585 ),
    inference(avatar_component_clause,[],[f11356]) ).

fof(f11358,plain,
    ( spl0_585
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1559,f1544,f1281,f11356]) ).

fof(f1559,plain,
    ( ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | ~ member(second(regular(cross_product(X0,X1))),universal_class)
        | ~ member(first(regular(cross_product(X0,X1))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(superposition,[],[f1282,f1545]) ).

fof(f11302,plain,
    ( spl0_584
    | ~ spl0_367
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f11294,f11291,f4931,f11300]) ).

fof(f11300,plain,
    ( spl0_584
  <=> ! [X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(null_class,X0),intersection(null_class,X0)),universal_class)),universal_class))))))),X1)
        | null_class = intersection(null_class,X0)
        | ~ member(intersection(null_class,X0),universal_class)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f11291,plain,
    ( spl0_582
  <=> ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | ~ member(intersection(null_class,X0),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(null_class,X0),intersection(null_class,X0)),universal_class)),universal_class))))))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f11294,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(null_class,X0),intersection(null_class,X0)),universal_class)),universal_class))))))),X1)
        | null_class = intersection(null_class,X0)
        | ~ member(intersection(null_class,X0),universal_class)
        | null_class = X1 )
    | ~ spl0_367
    | ~ spl0_582 ),
    inference(forward_demodulation,[],[f11292,f4933]) ).

fof(f11292,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(null_class,X0),intersection(null_class,X0)),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(null_class,X0),universal_class)
        | null_class = intersection(null_class,X0)
        | null_class = X1 )
    | ~ spl0_582 ),
    inference(avatar_component_clause,[],[f11291]) ).

fof(f11298,plain,
    ( spl0_583
    | ~ spl0_277
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10703,f10670,f2929,f11296]) ).

fof(f11296,plain,
    ( spl0_583
  <=> ! [X0] : subclass(intersection(X0,identity_relation),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f2929,plain,
    ( spl0_277
  <=> ! [X0,X1] :
        ( subclass(intersection(X0,identity_relation),X1)
        | member(not_subclass_element(intersection(X0,identity_relation),X1),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f10703,plain,
    ( ! [X0] : subclass(intersection(X0,identity_relation),null_class)
    | ~ spl0_277
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10676]) ).

fof(f10676,plain,
    ( ! [X0] :
        ( subclass(intersection(X0,identity_relation),null_class)
        | subclass(intersection(X0,identity_relation),null_class) )
    | ~ spl0_277
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f2930]) ).

fof(f2930,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(X0,identity_relation),X1),subset_relation)
        | subclass(intersection(X0,identity_relation),X1) )
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f2929]) ).

fof(f11293,plain,
    ( spl0_582
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1526,f1493,f790,f11291]) ).

fof(f1526,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | ~ member(intersection(null_class,X0),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(null_class,X0),intersection(null_class,X0)),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f791]) ).

fof(f11228,plain,
    ( spl0_581
    | ~ spl0_367
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f11224,f11221,f4931,f11226]) ).

fof(f11226,plain,
    ( spl0_581
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f11221,plain,
    ( spl0_580
  <=> ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X0,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f11224,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X0,X2) )
    | ~ spl0_367
    | ~ spl0_580 ),
    inference(forward_demodulation,[],[f11222,f4933]) ).

fof(f11222,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X0,X2)
        | intersection(X0,X1) = null_class )
    | ~ spl0_580 ),
    inference(avatar_component_clause,[],[f11221]) ).

fof(f11223,plain,
    ( spl0_580
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1517,f1493,f318,f11221]) ).

fof(f1517,plain,
    ( ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X0,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2) )
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f319]) ).

fof(f11165,plain,
    ( spl0_579
    | ~ spl0_367
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f11161,f11158,f4931,f11163]) ).

fof(f11163,plain,
    ( spl0_579
  <=> ! [X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,null_class),intersection(X0,null_class)),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,null_class)
        | ~ member(intersection(X0,null_class),universal_class)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f11158,plain,
    ( spl0_578
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,null_class)
        | ~ member(intersection(X0,null_class),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,null_class),intersection(X0,null_class)),universal_class)),universal_class))))))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f11161,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,null_class),intersection(X0,null_class)),universal_class)),universal_class))))))),X1)
        | null_class = intersection(X0,null_class)
        | ~ member(intersection(X0,null_class),universal_class)
        | null_class = X1 )
    | ~ spl0_367
    | ~ spl0_578 ),
    inference(forward_demodulation,[],[f11159,f4933]) ).

fof(f11159,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,null_class),intersection(X0,null_class)),universal_class)),universal_class))))))),X1)
        | ~ member(intersection(X0,null_class),universal_class)
        | null_class = intersection(X0,null_class)
        | null_class = X1 )
    | ~ spl0_578 ),
    inference(avatar_component_clause,[],[f11158]) ).

fof(f11160,plain,
    ( spl0_578
    | ~ spl0_102
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1505,f1489,f790,f11158]) ).

fof(f1505,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,null_class)
        | ~ member(intersection(X0,null_class),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,null_class),intersection(X0,null_class)),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f791]) ).

fof(f11095,plain,
    ( spl0_577
    | ~ spl0_367
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f11091,f11088,f4931,f11093]) ).

fof(f11093,plain,
    ( spl0_577
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f11088,plain,
    ( spl0_576
  <=> ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X1,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f11091,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X1,X2) )
    | ~ spl0_367
    | ~ spl0_576 ),
    inference(forward_demodulation,[],[f11089,f4933]) ).

fof(f11089,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2)
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X1,X2)
        | intersection(X0,X1) = null_class )
    | ~ spl0_576 ),
    inference(avatar_component_clause,[],[f11088]) ).

fof(f11090,plain,
    ( spl0_576
    | ~ spl0_33
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1496,f1489,f318,f11088]) ).

fof(f1496,plain,
    ( ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | ~ subclass(X1,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X2) )
    | ~ spl0_33
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f319]) ).

fof(f11086,plain,
    ( spl0_575
    | ~ spl0_119
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10701,f10670,f966,f11084]) ).

fof(f10701,plain,
    ( ! [X0] : subclass(intersection(subset_relation,X0),null_class)
    | ~ spl0_119
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10678]) ).

fof(f10678,plain,
    ( ! [X0] :
        ( subclass(intersection(subset_relation,X0),null_class)
        | subclass(intersection(subset_relation,X0),null_class) )
    | ~ spl0_119
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f967]) ).

fof(f11069,plain,
    ( spl0_574
    | ~ spl0_367
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f11065,f11062,f4931,f11067]) ).

fof(f11067,plain,
    ( spl0_574
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(regular(X0)),complement(regular(X0))),universal_class)),universal_class))))))),null_class)
        | null_class = complement(regular(X0))
        | ~ member(complement(regular(X0)),universal_class)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f11062,plain,
    ( spl0_573
  <=> ! [X0] :
        ( null_class = complement(regular(X0))
        | ~ member(complement(regular(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(regular(X0)),complement(regular(X0))),universal_class)),universal_class))))))),null_class)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f11065,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(regular(X0)),complement(regular(X0))),universal_class)),universal_class))))))),null_class)
        | null_class = complement(regular(X0))
        | ~ member(complement(regular(X0)),universal_class)
        | null_class = X0 )
    | ~ spl0_367
    | ~ spl0_573 ),
    inference(forward_demodulation,[],[f11063,f4933]) ).

fof(f11063,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(regular(X0)),complement(regular(X0))),universal_class)),universal_class))))))),null_class)
        | ~ member(complement(regular(X0)),universal_class)
        | null_class = complement(regular(X0))
        | null_class = X0 )
    | ~ spl0_573 ),
    inference(avatar_component_clause,[],[f11062]) ).

fof(f11064,plain,
    ( spl0_573
    | ~ spl0_111
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1484,f1470,f848,f11062]) ).

fof(f1484,plain,
    ( ! [X0] :
        ( null_class = complement(regular(X0))
        | ~ member(complement(regular(X0)),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(regular(X0)),complement(regular(X0))),universal_class)),universal_class))))))),null_class)
        | null_class = X0 )
    | ~ spl0_111
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f849]) ).

fof(f11060,plain,
    ( ~ spl0_504
    | spl0_572
    | ~ spl0_129
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1415,f1390,f1093,f11058,f9854]) ).

fof(f9854,plain,
    ( spl0_504
  <=> subclass(universal_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f11058,plain,
    ( spl0_572
  <=> ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),subset_relation)
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f1415,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),subset_relation)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,universal_class) )
    | ~ spl0_129
    | ~ spl0_158 ),
    inference(resolution,[],[f1391,f1094]) ).

fof(f11051,plain,
    ( spl0_571
    | ~ spl0_367
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f11047,f11043,f4931,f11049]) ).

fof(f11049,plain,
    ( spl0_571
  <=> ! [X2,X0,X1] :
        ( complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))) = X1
        | complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f11043,plain,
    ( spl0_570
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f11047,plain,
    ( ! [X2,X0,X1] :
        ( complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))) = X1
        | complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class) )
    | ~ spl0_367
    | ~ spl0_570 ),
    inference(forward_demodulation,[],[f11046,f4933]) ).

fof(f11046,plain,
    ( ! [X2,X0,X1] :
        ( complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X1 )
    | ~ spl0_367
    | ~ spl0_570 ),
    inference(forward_demodulation,[],[f11044,f4933]) ).

fof(f11044,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X1 )
    | ~ spl0_570 ),
    inference(avatar_component_clause,[],[f11043]) ).

fof(f11045,plain,
    ( spl0_570
    | ~ spl0_42
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1307,f1269,f382,f11043]) ).

fof(f1307,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X0
        | complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))) = X1 )
    | ~ spl0_42
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f383]) ).

fof(f11041,plain,
    ( spl0_569
    | ~ spl0_124
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1297,f1265,f1024,f11039]) ).

fof(f11039,plain,
    ( spl0_569
  <=> ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,regular(X1))
        | ~ member(X2,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),null_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f1297,plain,
    ( ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,regular(X1))
        | ~ member(X2,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),null_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X1)
        | null_class = X1 )
    | ~ spl0_124
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f1025]) ).

fof(f11037,plain,
    ( spl0_568
    | ~ spl0_68
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f949,f899,f540,f11035]) ).

fof(f11035,plain,
    ( spl0_568
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,cross_product(X1,X2))
        | subclass(X0,X3)
        | not_subclass_element(X0,X3) = unordered_pair(unordered_pair(first(not_subclass_element(X0,X3)),first(not_subclass_element(X0,X3))),unordered_pair(first(not_subclass_element(X0,X3)),unordered_pair(second(not_subclass_element(X0,X3)),second(not_subclass_element(X0,X3))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f949,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,cross_product(X1,X2))
        | subclass(X0,X3)
        | not_subclass_element(X0,X3) = unordered_pair(unordered_pair(first(not_subclass_element(X0,X3)),first(not_subclass_element(X0,X3))),unordered_pair(first(not_subclass_element(X0,X3)),unordered_pair(second(not_subclass_element(X0,X3)),second(not_subclass_element(X0,X3))))) )
    | ~ spl0_68
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f541]) ).

fof(f11021,plain,
    ( spl0_567
    | ~ spl0_120
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10699,f10670,f970,f11019]) ).

fof(f10699,plain,
    ( ! [X0] : subclass(intersection(X0,subset_relation),null_class)
    | ~ spl0_120
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10680]) ).

fof(f10680,plain,
    ( ! [X0] :
        ( subclass(intersection(X0,subset_relation),null_class)
        | subclass(intersection(X0,subset_relation),null_class) )
    | ~ spl0_120
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f971]) ).

fof(f11017,plain,
    ( spl0_566
    | ~ spl0_325
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f11013,f11010,f3977,f11015]) ).

fof(f11015,plain,
    ( spl0_566
  <=> ! [X2,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(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f11010,plain,
    ( spl0_565
  <=> ! [X2,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(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_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))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f11013,plain,
    ( ! [X2,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(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_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))),universal_class) )
    | ~ spl0_325
    | ~ spl0_565 ),
    inference(forward_demodulation,[],[f11011,f3979]) ).

fof(f11011,plain,
    ( ! [X2,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(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_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))),universal_class) )
    | ~ spl0_565 ),
    inference(avatar_component_clause,[],[f11010]) ).

fof(f11012,plain,
    ( spl0_565
    | ~ spl0_93
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1884,f1854,f702,f11010]) ).

fof(f1884,plain,
    ( ! [X2,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(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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))),null_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))),universal_class) )
    | ~ spl0_93
    | ~ spl0_187 ),
    inference(resolution,[],[f1855,f703]) ).

fof(f10997,plain,
    ( spl0_564
    | ~ spl0_325
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f10993,f10990,f3977,f10995]) ).

fof(f10995,plain,
    ( spl0_564
  <=> ! [X2,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))),rotate(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f10990,plain,
    ( spl0_563
  <=> ! [X2,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))),rotate(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_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(X0,X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f10993,plain,
    ( ! [X2,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))),rotate(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_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(X0,X0))),universal_class) )
    | ~ spl0_325
    | ~ spl0_563 ),
    inference(forward_demodulation,[],[f10991,f3979]) ).

fof(f10991,plain,
    ( ! [X2,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))),rotate(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_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(X0,X0))),universal_class) )
    | ~ spl0_563 ),
    inference(avatar_component_clause,[],[f10990]) ).

fof(f10992,plain,
    ( spl0_563
    | ~ spl0_93
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1865,f1850,f702,f10990]) ).

fof(f1865,plain,
    ( ! [X2,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))),rotate(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(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(X0,X0))),null_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(X0,X0))),universal_class) )
    | ~ spl0_93
    | ~ spl0_186 ),
    inference(resolution,[],[f1851,f703]) ).

fof(f10883,plain,
    ( spl0_562
    | ~ spl0_24
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1561,f1544,f272,f10881]) ).

fof(f10881,plain,
    ( spl0_562
  <=> ! [X0,X1] :
        ( member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),regular(cross_product(X0,X1)))
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f1561,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),regular(cross_product(X0,X1)))
        | ~ member(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_24
    | ~ spl0_170 ),
    inference(superposition,[],[f273,f1545]) ).

fof(f10879,plain,
    ( spl0_561
    | ~ spl0_42
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1285,f1265,f382,f10877]) ).

fof(f10877,plain,
    ( spl0_561
  <=> ! [X0,X3,X2,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,unordered_pair(X1,X2))
        | ~ member(X3,universal_class)
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = X1
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f1285,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,unordered_pair(X1,X2))
        | ~ member(X3,universal_class)
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = X1
        | domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))) = X2 )
    | ~ spl0_42
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f383]) ).

fof(f10871,plain,
    ( spl0_560
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1227,f1205,f386,f10869]) ).

fof(f10869,plain,
    ( spl0_560
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X1)
        | subclass(X0,intersection(X1,intersection(X2,X3)))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X3)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f1227,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X1)
        | subclass(X0,intersection(X1,intersection(X2,X3)))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X3)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(X2,X3))),X2) )
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f387]) ).

fof(f10859,plain,
    ( spl0_559
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f10855,f10849,f5770,f4931,f2341,f10857]) ).

fof(f10855,plain,
    ( ! [X0] :
        ( subclass(complement(null_class),X0)
        | ~ member(not_subclass_element(complement(null_class),X0),subset_relation) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f10854,f5775]) ).

fof(f10854,plain,
    ( ! [X0] :
        ( subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))),X0)
        | ~ member(not_subclass_element(complement(null_class),X0),subset_relation) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f10853,f4933]) ).

fof(f10853,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(null_class),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_558 ),
    inference(forward_demodulation,[],[f10852,f5775]) ).

fof(f10851,plain,
    ( spl0_558
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1198,f1189,f822,f10849]) ).

fof(f1198,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0),subset_relation)
        | subclass(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),X0) )
    | ~ spl0_105
    | ~ spl0_137 ),
    inference(resolution,[],[f1190,f823]) ).

fof(f10837,plain,
    ( spl0_557
    | ~ spl0_367
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f10833,f10830,f4931,f10835]) ).

fof(f10835,plain,
    ( spl0_557
  <=> ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(identity_relation,X0),intersection(identity_relation,X0)),universal_class)),universal_class))))))),subset_relation)
        | null_class = intersection(identity_relation,X0)
        | ~ member(intersection(identity_relation,X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f10830,plain,
    ( spl0_556
  <=> ! [X0] :
        ( null_class = intersection(identity_relation,X0)
        | ~ member(intersection(identity_relation,X0),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(identity_relation,X0),intersection(identity_relation,X0)),universal_class)),universal_class))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f10833,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(identity_relation,X0),intersection(identity_relation,X0)),universal_class)),universal_class))))))),subset_relation)
        | null_class = intersection(identity_relation,X0)
        | ~ member(intersection(identity_relation,X0),universal_class) )
    | ~ spl0_367
    | ~ spl0_556 ),
    inference(forward_demodulation,[],[f10831,f4933]) ).

fof(f10831,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(identity_relation,X0),intersection(identity_relation,X0)),universal_class)),universal_class))))))),subset_relation)
        | ~ member(intersection(identity_relation,X0),universal_class)
        | null_class = intersection(identity_relation,X0) )
    | ~ spl0_556 ),
    inference(avatar_component_clause,[],[f10830]) ).

fof(f10832,plain,
    ( spl0_556
    | ~ spl0_89
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1529,f1493,f661,f10830]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( null_class = intersection(identity_relation,X0)
        | ~ member(intersection(identity_relation,X0),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(identity_relation,X0),intersection(identity_relation,X0)),universal_class)),universal_class))))))),subset_relation) )
    | ~ spl0_89
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f662]) ).

fof(f10816,plain,
    ( spl0_555
    | ~ spl0_367
    | ~ spl0_554 ),
    inference(avatar_split_clause,[],[f10812,f10809,f4931,f10814]) ).

fof(f10814,plain,
    ( spl0_555
  <=> ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,identity_relation),intersection(X0,identity_relation)),universal_class)),universal_class))))))),subset_relation)
        | null_class = intersection(X0,identity_relation)
        | ~ member(intersection(X0,identity_relation),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f10809,plain,
    ( spl0_554
  <=> ! [X0] :
        ( null_class = intersection(X0,identity_relation)
        | ~ member(intersection(X0,identity_relation),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,identity_relation),intersection(X0,identity_relation)),universal_class)),universal_class))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f10812,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,identity_relation),intersection(X0,identity_relation)),universal_class)),universal_class))))))),subset_relation)
        | null_class = intersection(X0,identity_relation)
        | ~ member(intersection(X0,identity_relation),universal_class) )
    | ~ spl0_367
    | ~ spl0_554 ),
    inference(forward_demodulation,[],[f10810,f4933]) ).

fof(f10810,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,identity_relation),intersection(X0,identity_relation)),universal_class)),universal_class))))))),subset_relation)
        | ~ member(intersection(X0,identity_relation),universal_class)
        | null_class = intersection(X0,identity_relation) )
    | ~ spl0_554 ),
    inference(avatar_component_clause,[],[f10809]) ).

fof(f10811,plain,
    ( spl0_554
    | ~ spl0_89
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1508,f1489,f661,f10809]) ).

fof(f1508,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,identity_relation)
        | ~ member(intersection(X0,identity_relation),universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,identity_relation),intersection(X0,identity_relation)),universal_class)),universal_class))))))),subset_relation) )
    | ~ spl0_89
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f662]) ).

fof(f10807,plain,
    ( spl0_553
    | ~ spl0_225
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f10706,f10670,f2321,f10804]) ).

fof(f10706,plain,
    ( subclass(identity_relation,null_class)
    | ~ spl0_225
    | ~ spl0_547 ),
    inference(duplicate_literal_removal,[],[f10673]) ).

fof(f10673,plain,
    ( subclass(identity_relation,null_class)
    | subclass(identity_relation,null_class)
    | ~ spl0_225
    | ~ spl0_547 ),
    inference(resolution,[],[f10671,f2322]) ).

fof(f10799,plain,
    ( ~ spl0_552
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | spl0_551 ),
    inference(avatar_split_clause,[],[f10792,f10787,f5770,f4931,f2341,f10796]) ).

fof(f10787,plain,
    ( spl0_551
  <=> member(regular(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f10792,plain,
    ( ~ member(regular(complement(null_class)),subset_relation)
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | spl0_551 ),
    inference(forward_demodulation,[],[f10791,f5775]) ).

fof(f10791,plain,
    ( ~ member(regular(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))),subset_relation)
    | ~ spl0_367
    | spl0_551 ),
    inference(forward_demodulation,[],[f10789,f4933]) ).

fof(f10789,plain,
    ( ~ member(regular(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation)
    | spl0_551 ),
    inference(avatar_component_clause,[],[f10787]) ).

fof(f10790,plain,
    ( spl0_550
    | ~ spl0_551
    | ~ spl0_101
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1199,f1189,f786,f10787,f10783]) ).

fof(f1199,plain,
    ( ~ member(regular(complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))),subset_relation)
    | null_class = complement(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_101
    | ~ spl0_137 ),
    inference(resolution,[],[f1190,f787]) ).

fof(f10713,plain,
    ( spl0_548
    | spl0_549
    | ~ spl0_68
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f740,f711,f540,f10711,f10708]) ).

fof(f10708,plain,
    ( spl0_548
  <=> ! [X2,X3] : unordered_pair(X2,X3) = unordered_pair(unordered_pair(first(unordered_pair(X2,X3)),first(unordered_pair(X2,X3))),unordered_pair(first(unordered_pair(X2,X3)),unordered_pair(second(unordered_pair(X2,X3)),second(unordered_pair(X2,X3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f740,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | unordered_pair(X2,X3) = unordered_pair(unordered_pair(first(unordered_pair(X2,X3)),first(unordered_pair(X2,X3))),unordered_pair(first(unordered_pair(X2,X3)),unordered_pair(second(unordered_pair(X2,X3)),second(unordered_pair(X2,X3))))) )
    | ~ spl0_68
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f541]) ).

fof(f10672,plain,
    ( spl0_547
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(avatar_split_clause,[],[f10668,f10662,f5770,f4931,f2341,f10670]) ).

fof(f10668,plain,
    ( ! [X0] :
        ( subclass(X0,null_class)
        | ~ member(not_subclass_element(X0,null_class),subset_relation) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f10667,f5775]) ).

fof(f10667,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | ~ member(not_subclass_element(X0,null_class),subset_relation) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f10666,f4933]) ).

fof(f10666,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_546 ),
    inference(forward_demodulation,[],[f10665,f5775]) ).

fof(f10664,plain,
    ( spl0_546
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1197,f1189,f268,f10662]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),subset_relation)
        | subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f1190,f269]) ).

fof(f10603,plain,
    ( spl0_545
    | ~ spl0_102
    | ~ spl0_404 ),
    inference(avatar_split_clause,[],[f6860,f6851,f790,f10601]) ).

fof(f6860,plain,
    ( ! [X0] :
        ( member(regular(subset_relation),X0)
        | null_class = X0 )
    | ~ spl0_102
    | ~ spl0_404 ),
    inference(resolution,[],[f6853,f791]) ).

fof(f10558,plain,
    ( spl0_544
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_543 ),
    inference(avatar_split_clause,[],[f10554,f10551,f9850,f4891,f10556]) ).

fof(f10556,plain,
    ( spl0_544
  <=> ! [X0,X1] :
        ( member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(null_class,compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f10551,plain,
    ( spl0_543
  <=> ! [X0,X1] :
        ( ~ member(null_class,compose(X0,X1))
        | member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f10554,plain,
    ( ! [X0,X1] :
        ( member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(u,universal_class),X1),universal_class)))),universal_class),X0),universal_class)))))
        | ~ member(null_class,compose(X0,X1)) )
    | ~ spl0_366
    | ~ spl0_503
    | ~ spl0_543 ),
    inference(forward_demodulation,[],[f10552,f9916]) ).

fof(f10552,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,compose(X0,X1))
        | member(second(null_class),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(first(null_class),first(null_class)),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) )
    | ~ spl0_543 ),
    inference(avatar_component_clause,[],[f10551]) ).

fof(f10553,plain,
    ( spl0_543
    | ~ spl0_73
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4806,f1276,f572,f10551]) ).

fof(f10548,plain,
    ( spl0_542
    | ~ spl0_102
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1463,f1451,f790,f10546]) ).

fof(f10546,plain,
    ( spl0_542
  <=> ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,null_class)
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f1463,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,null_class)
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f791]) ).

fof(f10463,plain,
    ( spl0_541
    | ~ spl0_367
    | ~ spl0_540 ),
    inference(avatar_split_clause,[],[f10459,f10456,f4931,f10461]) ).

fof(f10461,plain,
    ( spl0_541
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2)
        | null_class = X0
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f10456,plain,
    ( spl0_540
  <=> ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(X1,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f10459,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2)
        | null_class = X0
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(X1,X2) )
    | ~ spl0_367
    | ~ spl0_540 ),
    inference(forward_demodulation,[],[f10457,f4933]) ).

fof(f10457,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(X0,X1)
        | null_class = X0
        | ~ subclass(X1,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) )
    | ~ spl0_540 ),
    inference(avatar_component_clause,[],[f10456]) ).

fof(f10458,plain,
    ( spl0_540
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1454,f1451,f318,f10456]) ).

fof(f1454,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(X1,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) )
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f319]) ).

fof(f10454,plain,
    ( spl0_539
    | ~ spl0_112
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1233,f1205,f852,f10452]) ).

fof(f10452,plain,
    ( spl0_539
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class))))),X1)
        | subclass(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f1233,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class))))),X1)
        | subclass(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class)))))
        | ~ member(not_subclass_element(X0,intersection(X1,domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation) )
    | ~ spl0_112
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f853]) ).

fof(f10450,plain,
    ( spl0_538
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1063,f1028,f970,f10448]) ).

fof(f10448,plain,
    ( spl0_538
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1),subset_relation)
        | member(not_subclass_element(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1),identity_relation)
        | subclass(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f1063,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1),subset_relation)
        | member(not_subclass_element(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1),identity_relation)
        | subclass(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),X1) )
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f971]) ).

fof(f10446,plain,
    ( spl0_537
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1056,f1028,f966,f10444]) ).

fof(f10444,plain,
    ( spl0_537
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1),subset_relation)
        | member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1),identity_relation)
        | subclass(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f1056,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1),subset_relation)
        | member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1),identity_relation)
        | subclass(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0),X1) )
    | ~ spl0_119
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f967]) ).

fof(f10392,plain,
    ( spl0_536
    | ~ spl0_367
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f10388,f10385,f4931,f10390]) ).

fof(f10390,plain,
    ( spl0_536
  <=> ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),null_class)
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f10385,plain,
    ( spl0_535
  <=> ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f10388,plain,
    ( ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),null_class)
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_367
    | ~ spl0_535 ),
    inference(forward_demodulation,[],[f10386,f4933]) ).

fof(f10386,plain,
    ( ! [X0,X1] :
        ( ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_535 ),
    inference(avatar_component_clause,[],[f10385]) ).

fof(f10387,plain,
    ( spl0_535
    | ~ spl0_72
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1552,f1544,f567,f10385]) ).

fof(f1552,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(universal_class,universal_class))
        | member(regular(cross_product(X0,X1)),element_relation)
        | ~ member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_72
    | ~ spl0_170 ),
    inference(superposition,[],[f568,f1545]) ).

fof(f10366,plain,
    ( spl0_534
    | ~ spl0_367
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f10362,f10359,f4931,f10364]) ).

fof(f10364,plain,
    ( spl0_534
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f10359,plain,
    ( spl0_533
  <=> ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f10362,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class) )
    | ~ spl0_367
    | ~ spl0_533 ),
    inference(forward_demodulation,[],[f10360,f4933]) ).

fof(f10360,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) )
    | ~ spl0_533 ),
    inference(avatar_component_clause,[],[f10359]) ).

fof(f10361,plain,
    ( spl0_533
    | ~ spl0_27
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1459,f1451,f284,f10359]) ).

fof(f1459,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) )
    | ~ spl0_27
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f285]) ).

fof(f10338,plain,
    ( ~ spl0_532
    | spl0_242
    | ~ spl0_257
    | ~ spl0_404 ),
    inference(avatar_split_clause,[],[f6857,f6851,f2696,f2438,f10335]) ).

fof(f6857,plain,
    ( null_class = subset_relation
    | ~ subclass(subset_relation,complement(null_class))
    | ~ spl0_257
    | ~ spl0_404 ),
    inference(resolution,[],[f6853,f2697]) ).

fof(f10333,plain,
    ( spl0_531
    | ~ spl0_367
    | ~ spl0_530 ),
    inference(avatar_split_clause,[],[f10329,f10326,f4931,f10331]) ).

fof(f10331,plain,
    ( spl0_531
  <=> ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2)
        | null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f10326,plain,
    ( spl0_530
  <=> ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f10329,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2)
        | null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class) )
    | ~ spl0_367
    | ~ spl0_530 ),
    inference(forward_demodulation,[],[f10327,f4933]) ).

fof(f10327,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) )
    | ~ spl0_530 ),
    inference(avatar_component_clause,[],[f10326]) ).

fof(f10328,plain,
    ( spl0_530
    | ~ spl0_28
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1458,f1451,f288,f10326]) ).

fof(f1458,plain,
    ( ! [X2,X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,intersection(X1,X2))
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X2) )
    | ~ spl0_28
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f289]) ).

fof(f10287,plain,
    ( spl0_529
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f10283,f10279,f5770,f4931,f2341,f10285]) ).

fof(f10279,plain,
    ( spl0_528
  <=> ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f10283,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | member(not_subclass_element(X0,X1),subset_relation)
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | subclass(X0,X1) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_528 ),
    inference(forward_demodulation,[],[f10282,f5775]) ).

fof(f10282,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | member(not_subclass_element(X0,X1),subset_relation)
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | subclass(X0,X1) )
    | ~ spl0_367
    | ~ spl0_528 ),
    inference(forward_demodulation,[],[f10280,f4933]) ).

fof(f10280,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | member(not_subclass_element(X0,X1),subset_relation)
        | subclass(X0,X1) )
    | ~ spl0_528 ),
    inference(avatar_component_clause,[],[f10279]) ).

fof(f10281,plain,
    ( spl0_528
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1419,f1390,f899,f10279]) ).

fof(f1419,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,X1),subset_relation)
        | ~ member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | subclass(X0,X1) )
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(resolution,[],[f1391,f900]) ).

fof(f10277,plain,
    ( spl0_527
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1230,f1205,f365,f10275]) ).

fof(f10275,plain,
    ( spl0_527
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,complement(X2))),X1)
        | subclass(X0,intersection(X1,complement(X2)))
        | member(not_subclass_element(X0,intersection(X1,complement(X2))),X2)
        | ~ member(not_subclass_element(X0,intersection(X1,complement(X2))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f1230,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,complement(X2))),X1)
        | subclass(X0,intersection(X1,complement(X2)))
        | member(not_subclass_element(X0,intersection(X1,complement(X2))),X2)
        | ~ member(not_subclass_element(X0,intersection(X1,complement(X2))),universal_class) )
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f366]) ).

fof(f10273,plain,
    ( spl0_526
    | ~ spl0_68
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f871,f826,f540,f10271]) ).

fof(f10271,plain,
    ( spl0_526
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,cross_product(X1,X2))
        | null_class = X0
        | regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f871,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,cross_product(X1,X2))
        | null_class = X0
        | regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0))))) )
    | ~ spl0_68
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f541]) ).

fof(f10150,plain,
    ( spl0_525
    | ~ spl0_367
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f10146,f10143,f4931,f10148]) ).

fof(f10148,plain,
    ( spl0_525
  <=> ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X0
        | ~ subclass(X0,complement(X1))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f10143,plain,
    ( spl0_524
  <=> ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,complement(X1))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f10146,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | null_class = X0
        | ~ subclass(X0,complement(X1))
        | ~ member(X0,universal_class) )
    | ~ spl0_367
    | ~ spl0_524 ),
    inference(forward_demodulation,[],[f10144,f4933]) ).

fof(f10144,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1)
        | ~ subclass(X0,complement(X1))
        | ~ member(X0,universal_class)
        | null_class = X0 )
    | ~ spl0_524 ),
    inference(avatar_component_clause,[],[f10143]) ).

fof(f10145,plain,
    ( spl0_524
    | ~ spl0_18
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1462,f1451,f245,f10143]) ).

fof(f1462,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | ~ subclass(X0,complement(X1))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) )
    | ~ spl0_18
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f246]) ).

fof(f10141,plain,
    ( spl0_523
    | ~ spl0_115
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1062,f1028,f895,f10139]) ).

fof(f10139,plain,
    ( spl0_523
  <=> ! [X0] :
        ( ~ member(regular(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),subset_relation)
        | member(regular(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation)
        | null_class = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f1062,plain,
    ( ! [X0] :
        ( ~ member(regular(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),subset_relation)
        | member(regular(intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation)
        | null_class = intersection(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_115
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f896]) ).

fof(f10137,plain,
    ( spl0_522
    | ~ spl0_114
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1060,f1028,f891,f10135]) ).

fof(f10135,plain,
    ( spl0_522
  <=> ! [X0] :
        ( ~ member(regular(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),subset_relation)
        | member(regular(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),identity_relation)
        | null_class = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f1060,plain,
    ( ! [X0] :
        ( ~ member(regular(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),subset_relation)
        | member(regular(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0)),identity_relation)
        | null_class = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),X0) )
    | ~ spl0_114
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f892]) ).

fof(f10133,plain,
    ( spl0_521
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f867,f822,f490,f390,f10131]) ).

fof(f10131,plain,
    ( spl0_521
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(complement(domain_of(X0)),X1),not_subclass_element(complement(domain_of(X0)),X1)),universal_class))
        | subclass(complement(domain_of(X0)),X1)
        | ~ member(not_subclass_element(complement(domain_of(X0)),X1),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f867,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(complement(domain_of(X0)),X1),not_subclass_element(complement(domain_of(X0)),X1)),universal_class))
        | subclass(complement(domain_of(X0)),X1)
        | ~ member(not_subclass_element(complement(domain_of(X0)),X1),universal_class) )
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f863,f391]) ).

fof(f863,plain,
    ( ! [X0,X1] :
        ( subclass(complement(domain_of(X0)),X1)
        | ~ member(not_subclass_element(complement(domain_of(X0)),X1),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_subclass_element(complement(domain_of(X0)),X1),not_subclass_element(complement(domain_of(X0)),X1)),universal_class),X0) )
    | ~ spl0_61
    | ~ spl0_105 ),
    inference(resolution,[],[f823,f491]) ).

fof(f10127,plain,
    ( spl0_520
    | ~ spl0_325
    | ~ spl0_367
    | ~ spl0_519 ),
    inference(avatar_split_clause,[],[f10123,f10117,f4931,f3977,f10125]) ).

fof(f10125,plain,
    ( spl0_520
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f10123,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | null_class = intersection(intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) )
    | ~ spl0_325
    | ~ spl0_367
    | ~ spl0_519 ),
    inference(forward_demodulation,[],[f10122,f4933]) ).

fof(f10119,plain,
    ( spl0_519
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1523,f1493,f675,f10117]) ).

fof(f1523,plain,
    ( ! [X0] :
        ( null_class = intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(resolution,[],[f1494,f676]) ).

fof(f10112,plain,
    ( spl0_518
    | ~ spl0_404
    | ~ spl0_503 ),
    inference(avatar_split_clause,[],[f9918,f9850,f6851,f10109]) ).

fof(f9918,plain,
    ( u = regular(subset_relation)
    | ~ spl0_404
    | ~ spl0_503 ),
    inference(resolution,[],[f9851,f6853]) ).

fof(f10107,plain,
    ( spl0_517
    | ~ spl0_325
    | ~ spl0_367
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f10103,f10097,f4931,f3977,f10105]) ).

fof(f10105,plain,
    ( spl0_517
  <=> ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f10103,plain,
    ( ! [X0] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class)
        | ~ member(intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | null_class = intersection(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_325
    | ~ spl0_367
    | ~ spl0_516 ),
    inference(forward_demodulation,[],[f10102,f4933]) ).

fof(f10099,plain,
    ( spl0_516
    | ~ spl0_90
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1502,f1489,f675,f10097]) ).

fof(f1502,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_90
    | ~ spl0_167 ),
    inference(resolution,[],[f1490,f676]) ).

fof(f10034,plain,
    ( spl0_515
    | ~ spl0_367
    | ~ spl0_514 ),
    inference(avatar_split_clause,[],[f10030,f10027,f4931,f10032]) ).

fof(f10032,plain,
    ( spl0_515
  <=> ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | null_class = X0
        | ~ subclass(X0,identity_relation)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f10027,plain,
    ( spl0_514
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,identity_relation)
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f10030,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | null_class = X0
        | ~ subclass(X0,identity_relation)
        | ~ member(X0,universal_class) )
    | ~ spl0_367
    | ~ spl0_514 ),
    inference(forward_demodulation,[],[f10028,f4933]) ).

fof(f10028,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation)
        | ~ subclass(X0,identity_relation)
        | ~ member(X0,universal_class)
        | null_class = X0 )
    | ~ spl0_514 ),
    inference(avatar_component_clause,[],[f10027]) ).

fof(f10029,plain,
    ( spl0_514
    | ~ spl0_89
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1467,f1451,f661,f10027]) ).

fof(f1467,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,identity_relation)
        | ~ member(X0,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),subset_relation) )
    | ~ spl0_89
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f662]) ).

fof(f9981,plain,
    ( spl0_513
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_512 ),
    inference(avatar_split_clause,[],[f9977,f9973,f5770,f4931,f2341,f9979]) ).

fof(f9973,plain,
    ( spl0_512
  <=> ! [X0] :
        ( member(regular(X0),subset_relation)
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f9977,plain,
    ( ! [X0] :
        ( ~ subclass(X0,null_class)
        | member(regular(X0),subset_relation)
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | null_class = X0 )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_512 ),
    inference(forward_demodulation,[],[f9976,f5775]) ).

fof(f9976,plain,
    ( ! [X0] :
        ( ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | member(regular(X0),subset_relation)
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | null_class = X0 )
    | ~ spl0_367
    | ~ spl0_512 ),
    inference(forward_demodulation,[],[f9974,f4933]) ).

fof(f9974,plain,
    ( ! [X0] :
        ( ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | member(regular(X0),subset_relation)
        | null_class = X0 )
    | ~ spl0_512 ),
    inference(avatar_component_clause,[],[f9973]) ).

fof(f9975,plain,
    ( spl0_512
    | ~ spl0_106
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1416,f1390,f826,f9973]) ).

fof(f1416,plain,
    ( ! [X0] :
        ( member(regular(X0),subset_relation)
        | ~ member(regular(X0),cross_product(universal_class,universal_class))
        | ~ subclass(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | null_class = X0 )
    | ~ spl0_106
    | ~ spl0_158 ),
    inference(resolution,[],[f1391,f827]) ).

fof(f9971,plain,
    ( spl0_511
    | ~ spl0_73
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f732,f711,f572,f9969]) ).

fof(f9969,plain,
    ( spl0_511
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,compose(X0,X1))
        | member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f732,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,compose(X0,X1))
        | member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X1),universal_class)))),universal_class),X0),universal_class))))) )
    | ~ spl0_73
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f573]) ).

fof(f9886,plain,
    ( spl0_510
    | ~ spl0_66
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1550,f1544,f525,f9884]) ).

fof(f9884,plain,
    ( spl0_510
  <=> ! [X0,X3,X2,X1] :
        ( member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),X3)
        | ~ member(first(regular(cross_product(X0,X1))),X2)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f1550,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | ~ member(second(regular(cross_product(X0,X1))),X3)
        | ~ member(first(regular(cross_product(X0,X1))),X2)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_66
    | ~ spl0_170 ),
    inference(superposition,[],[f526,f1545]) ).

fof(f9881,plain,
    ( ~ spl0_509
    | ~ spl0_367
    | spl0_508 ),
    inference(avatar_split_clause,[],[f9876,f9872,f4931,f9878]) ).

fof(f9878,plain,
    ( spl0_509
  <=> member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f9872,plain,
    ( spl0_508
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f9876,plain,
    ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
    | ~ spl0_367
    | spl0_508 ),
    inference(forward_demodulation,[],[f9873,f4933]) ).

fof(f9873,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
    | spl0_508 ),
    inference(avatar_component_clause,[],[f9872]) ).

fof(f9875,plain,
    ( ~ spl0_507
    | spl0_242
    | spl0_508
    | ~ spl0_65
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1535,f1493,f520,f9872,f2438,f9868]) ).

fof(f1535,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(subset_relation,subset_relation),universal_class)),universal_class))))))),cross_product(universal_class,universal_class))
    | null_class = subset_relation
    | ~ member(subset_relation,universal_class)
    | ~ spl0_65
    | ~ spl0_168 ),
    inference(superposition,[],[f1494,f522]) ).

fof(f9866,plain,
    ( spl0_506
    | ~ spl0_129
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1474,f1470,f1093,f9864]) ).

fof(f9864,plain,
    ( spl0_506
  <=> ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | ~ subclass(universal_class,X0)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f1474,plain,
    ( ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | ~ subclass(universal_class,X0)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class)))),universal_class) )
    | ~ spl0_129
    | ~ spl0_166 ),
    inference(resolution,[],[f1471,f1094]) ).

fof(f9860,plain,
    ( ~ spl0_504
    | spl0_505
    | ~ spl0_94
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1418,f1390,f711,f9858,f9854]) ).

fof(f9858,plain,
    ( spl0_505
  <=> ! [X0,X1] :
        ( member(unordered_pair(X0,X1),subset_relation)
        | ~ member(unordered_pair(X0,X1),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f1418,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(X0,X1),subset_relation)
        | ~ member(unordered_pair(X0,X1),cross_product(universal_class,universal_class))
        | ~ subclass(universal_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_94
    | ~ spl0_158 ),
    inference(resolution,[],[f1391,f712]) ).

fof(f9852,plain,
    ( spl0_503
    | ~ spl0_42
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f8234,f3977,f382,f9850]) ).

fof(f8234,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | u = X0 )
    | ~ spl0_42
    | ~ spl0_325 ),
    inference(duplicate_literal_removal,[],[f8143]) ).

fof(f8143,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | u = X0
        | u = X0 )
    | ~ spl0_42
    | ~ spl0_325 ),
    inference(superposition,[],[f383,f3979]) ).

fof(f9819,plain,
    ( spl0_502
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f9815,f9811,f5770,f4931,f2341,f9817]) ).

fof(f9815,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),null_class)
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_501 ),
    inference(forward_demodulation,[],[f9814,f5775]) ).

fof(f9814,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_367
    | ~ spl0_501 ),
    inference(forward_demodulation,[],[f9812,f4933]) ).

fof(f9813,plain,
    ( spl0_501
    | ~ spl0_65
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1239,f1205,f520,f9811]) ).

fof(f1239,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(not_subclass_element(X0,subset_relation),cross_product(universal_class,universal_class))
        | subclass(X0,subset_relation) )
    | ~ spl0_65
    | ~ spl0_139 ),
    inference(superposition,[],[f1206,f522]) ).

fof(f9809,plain,
    ( spl0_500
    | ~ spl0_116
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1152,f1135,f899,f9807]) ).

fof(f9807,plain,
    ( spl0_500
  <=> ! [X0,X1] :
        ( null_class = cross_product(unordered_pair(not_subclass_element(X0,X1),not_subclass_element(X0,X1)),universal_class)
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(not_subclass_element(X0,X1),not_subclass_element(X0,X1)),universal_class))))
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f1152,plain,
    ( ! [X0,X1] :
        ( null_class = cross_product(unordered_pair(not_subclass_element(X0,X1),not_subclass_element(X0,X1)),universal_class)
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(not_subclass_element(X0,X1),not_subclass_element(X0,X1)),universal_class))))
        | subclass(X0,X1) )
    | ~ spl0_116
    | ~ spl0_134 ),
    inference(resolution,[],[f1136,f900]) ).

fof(f9776,plain,
    ( spl0_499
    | ~ spl0_325
    | ~ spl0_498 ),
    inference(avatar_split_clause,[],[f9772,f9766,f3977,f9774]) ).

fof(f9774,plain,
    ( spl0_499
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | subclass(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f9766,plain,
    ( spl0_498
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | subclass(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f9772,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class)
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | subclass(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1) )
    | ~ spl0_325
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f9771,f3979]) ).

fof(f9771,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | subclass(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) )
    | ~ spl0_325
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f9770,f3979]) ).

fof(f9770,plain,
    ( ! [X0,X1] :
        ( subclass(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) )
    | ~ spl0_325
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f9769,f3979]) ).

fof(f9769,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | subclass(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) )
    | ~ spl0_325
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f9767,f3979]) ).

fof(f9767,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | subclass(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) )
    | ~ spl0_498 ),
    inference(avatar_component_clause,[],[f9766]) ).

fof(f9768,plain,
    ( spl0_498
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1228,f1205,f702,f9766]) ).

fof(f1228,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),X1)
        | subclass(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))
        | member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),universal_class) )
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f703]) ).

fof(f9756,plain,
    ( spl0_497
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1221,f1201,f794,f9754]) ).

fof(f9754,plain,
    ( spl0_497
  <=> ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),cross_product(universal_class,universal_class)) = X1
        | not_subclass_element(unordered_pair(X0,X1),cross_product(universal_class,universal_class)) = X0
        | function(unordered_pair(X0,X1))
        | ~ single_valued_class(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f1221,plain,
    ( ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),cross_product(universal_class,universal_class)) = X1
        | not_subclass_element(unordered_pair(X0,X1),cross_product(universal_class,universal_class)) = X0
        | function(unordered_pair(X0,X1))
        | ~ single_valued_class(unordered_pair(X0,X1)) )
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f795]) ).

fof(f9722,plain,
    ( spl0_496
    | ~ spl0_367
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f9718,f9714,f4931,f9720]) ).

fof(f9720,plain,
    ( spl0_496
  <=> ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,X1))),X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,X1))),null_class)
        | ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f9714,plain,
    ( spl0_495
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f9718,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,X1))),X0)
        | member(domain_of(intersection(null_class,cross_product(universal_class,X1))),null_class)
        | ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | null_class = X0 )
    | ~ spl0_367
    | ~ spl0_495 ),
    inference(forward_demodulation,[],[f9717,f4933]) ).

fof(f9717,plain,
    ( ! [X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,X1))),null_class)
        | ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0)
        | null_class = X0 )
    | ~ spl0_367
    | ~ spl0_495 ),
    inference(forward_demodulation,[],[f9715,f4933]) ).

fof(f9715,plain,
    ( ! [X0,X1] :
        ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0)
        | ~ member(X1,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),null_class)
        | ~ subclass(universal_class,regular(X0))
        | null_class = X0 )
    | ~ spl0_495 ),
    inference(avatar_component_clause,[],[f9714]) ).

fof(f9716,plain,
    ( spl0_495
    | ~ spl0_124
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1116,f1093,f1024,f9714]) ).

fof(f1116,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,regular(X0))
        | ~ member(X1,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),null_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0)
        | null_class = X0 )
    | ~ spl0_124
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f1025]) ).

fof(f9652,plain,
    ( spl0_494
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f9648,f9644,f5770,f4931,f2341,f9650]) ).

fof(f9644,plain,
    ( spl0_493
  <=> ! [X0,X1] :
        ( ~ subclass(subset_relation,X0)
        | ~ member(X1,cross_product(universal_class,universal_class))
        | ~ member(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f9648,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,null_class)
        | ~ subclass(subset_relation,X0)
        | ~ member(X1,cross_product(universal_class,universal_class))
        | member(X1,X0) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_493 ),
    inference(forward_demodulation,[],[f9647,f5775]) ).

fof(f9647,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | ~ subclass(subset_relation,X0)
        | ~ member(X1,cross_product(universal_class,universal_class))
        | member(X1,X0) )
    | ~ spl0_367
    | ~ spl0_493 ),
    inference(forward_demodulation,[],[f9645,f4933]) ).

fof(f9645,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X1,cross_product(universal_class,universal_class))
        | ~ subclass(subset_relation,X0)
        | member(X1,X0) )
    | ~ spl0_493 ),
    inference(avatar_component_clause,[],[f9644]) ).

fof(f9646,plain,
    ( spl0_493
    | ~ spl0_65
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1103,f1089,f520,f9644]) ).

fof(f1089,plain,
    ( spl0_128
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | ~ subclass(intersection(X2,X1),X3)
        | member(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1103,plain,
    ( ! [X0,X1] :
        ( ~ subclass(subset_relation,X0)
        | ~ member(X1,cross_product(universal_class,universal_class))
        | ~ member(X1,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | member(X1,X0) )
    | ~ spl0_65
    | ~ spl0_128 ),
    inference(superposition,[],[f1090,f522]) ).

fof(f1090,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(intersection(X2,X1),X3)
        | ~ member(X0,X2)
        | ~ member(X0,X1)
        | member(X0,X3) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f9642,plain,
    ( spl0_492
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f803,f786,f490,f390,f9640]) ).

fof(f9640,plain,
    ( spl0_492
  <=> ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(regular(complement(domain_of(X0))),regular(complement(domain_of(X0)))),universal_class))
        | null_class = complement(domain_of(X0))
        | ~ member(regular(complement(domain_of(X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f803,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(regular(complement(domain_of(X0))),regular(complement(domain_of(X0)))),universal_class))
        | null_class = complement(domain_of(X0))
        | ~ member(regular(complement(domain_of(X0))),universal_class) )
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f801,f391]) ).

fof(f801,plain,
    ( ! [X0] :
        ( null_class = complement(domain_of(X0))
        | ~ member(regular(complement(domain_of(X0))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(regular(complement(domain_of(X0))),regular(complement(domain_of(X0)))),universal_class),X0) )
    | ~ spl0_61
    | ~ spl0_101 ),
    inference(resolution,[],[f787,f491]) ).

fof(f9543,plain,
    ( spl0_242
    | ~ spl0_491
    | ~ spl0_34
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f7321,f7147,f322,f9540,f2438]) ).

fof(f7321,plain,
    ( ~ subclass(null_class,subset_relation)
    | null_class = subset_relation
    | ~ spl0_34
    | ~ spl0_419 ),
    inference(resolution,[],[f7149,f323]) ).

fof(f7149,plain,
    ( subclass(subset_relation,null_class)
    | ~ spl0_419 ),
    inference(avatar_component_clause,[],[f7147]) ).

fof(f9217,plain,
    ( spl0_490
    | ~ spl0_367
    | ~ spl0_489 ),
    inference(avatar_split_clause,[],[f9213,f9210,f4931,f9215]) ).

fof(f9215,plain,
    ( spl0_490
  <=> ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),null_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f9210,plain,
    ( spl0_489
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),element_relation)
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f9213,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),null_class)
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) )
    | ~ spl0_367
    | ~ spl0_489 ),
    inference(forward_demodulation,[],[f9211,f4933]) ).

fof(f9211,plain,
    ( ! [X2,X0,X1] :
        ( member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2))
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),element_relation)
        | ~ operation(X2)
        | ~ compatible(X0,X1,X2) )
    | ~ spl0_489 ),
    inference(avatar_component_clause,[],[f9210]) ).

fof(f9212,plain,
    ( spl0_489
    | ~ spl0_53
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1578,f1572,f456,f9210]) ).

fof(f1578,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),element_relation)
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),not_homomorphism2(X0,X1,X2)) )
    | ~ spl0_53
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f457]) ).

fof(f9207,plain,
    ( spl0_488
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1442,f1396,f966,f9205]) ).

fof(f9205,plain,
    ( spl0_488
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f1396,plain,
    ( spl0_159
  <=> ! [X0,X1] :
        ( null_class = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | subclass(X0,domain_of(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1442,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0)) )
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f1437]) ).

fof(f1437,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(universal_class,X1),domain_of(X0)),not_subclass_element(intersection(universal_class,X1),domain_of(X0))),universal_class))
        | subclass(intersection(universal_class,X1),domain_of(X0))
        | subclass(intersection(universal_class,X1),domain_of(X0)) )
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(resolution,[],[f1397,f967]) ).

fof(f1397,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | null_class = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | subclass(X0,domain_of(X1)) )
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f9203,plain,
    ( spl0_487
    | ~ spl0_120
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1441,f1396,f970,f9201]) ).

fof(f9201,plain,
    ( spl0_487
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f1441,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0)) )
    | ~ spl0_120
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f1438]) ).

fof(f1438,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(intersection(X1,universal_class),domain_of(X0)),not_subclass_element(intersection(X1,universal_class),domain_of(X0))),universal_class))
        | subclass(intersection(X1,universal_class),domain_of(X0))
        | subclass(intersection(X1,universal_class),domain_of(X0)) )
    | ~ spl0_120
    | ~ spl0_159 ),
    inference(resolution,[],[f1397,f971]) ).

fof(f9199,plain,
    ( spl0_486
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1246,f1209,f464,f9197]) ).

fof(f9197,plain,
    ( spl0_486
  <=> ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class))))
        | ~ member(X0,universal_class)
        | member(X0,X1)
        | ~ inductive(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f464,plain,
    ( spl0_55
  <=> ! [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,[spl0_55])]) ).

fof(f1209,plain,
    ( spl0_140
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
        | ~ subclass(domain_of(X1),X2)
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1246,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class))))
        | ~ member(X0,universal_class)
        | member(X0,X1)
        | ~ inductive(X1) )
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(resolution,[],[f1210,f465]) ).

fof(f465,plain,
    ( ! [X0] :
        ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
        | ~ inductive(X0) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1210,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),X2)
        | null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
        | ~ member(X0,universal_class)
        | member(X0,X2) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f9195,plain,
    ( spl0_485
    | ~ spl0_111
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1234,f1205,f848,f9193]) ).

fof(f9193,plain,
    ( spl0_485
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,regular(X2))),X1)
        | subclass(X0,intersection(X1,regular(X2)))
        | ~ member(not_subclass_element(X0,intersection(X1,regular(X2))),null_class)
        | null_class = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f1234,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,regular(X2))),X1)
        | subclass(X0,intersection(X1,regular(X2)))
        | ~ member(not_subclass_element(X0,intersection(X1,regular(X2))),null_class)
        | null_class = X2 )
    | ~ spl0_111
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f849]) ).

fof(f9191,plain,
    ( spl0_484
    | ~ spl0_97
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1226,f1205,f723,f9189]) ).

fof(f9189,plain,
    ( spl0_484
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,cross_product(universal_class,universal_class))),X1)
        | subclass(X0,intersection(X1,cross_product(universal_class,universal_class)))
        | ~ member(not_subclass_element(X0,intersection(X1,cross_product(universal_class,universal_class))),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f1226,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,cross_product(universal_class,universal_class))),X1)
        | subclass(X0,intersection(X1,cross_product(universal_class,universal_class)))
        | ~ member(not_subclass_element(X0,intersection(X1,cross_product(universal_class,universal_class))),subset_relation) )
    | ~ spl0_97
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f724]) ).

fof(f9187,plain,
    ( spl0_483
    | ~ spl0_22
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1055,f1028,f264,f9185]) ).

fof(f9185,plain,
    ( spl0_483
  <=> ! [X0] :
        ( ~ member(not_subclass_element(domain_of(flip(cross_product(subset_relation,universal_class))),X0),subset_relation)
        | member(not_subclass_element(domain_of(flip(cross_product(subset_relation,universal_class))),X0),identity_relation)
        | subclass(domain_of(flip(cross_product(subset_relation,universal_class))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f1055,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(domain_of(flip(cross_product(subset_relation,universal_class))),X0),subset_relation)
        | member(not_subclass_element(domain_of(flip(cross_product(subset_relation,universal_class))),X0),identity_relation)
        | subclass(domain_of(flip(cross_product(subset_relation,universal_class))),X0) )
    | ~ spl0_22
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f265]) ).

fof(f9183,plain,
    ( spl0_482
    | ~ spl0_120
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1048,f1024,f970,f9181]) ).

fof(f9181,plain,
    ( spl0_482
  <=> ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,regular(X1)),X2),null_class)
        | ~ member(not_subclass_element(intersection(X0,regular(X1)),X2),X1)
        | null_class = X1
        | subclass(intersection(X0,regular(X1)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f1048,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,regular(X1)),X2),null_class)
        | ~ member(not_subclass_element(intersection(X0,regular(X1)),X2),X1)
        | null_class = X1
        | subclass(intersection(X0,regular(X1)),X2) )
    | ~ spl0_120
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f971]) ).

fof(f9179,plain,
    ( spl0_481
    | ~ spl0_119
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1041,f1024,f966,f9177]) ).

fof(f9177,plain,
    ( spl0_481
  <=> ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(regular(X0),X1),X2),null_class)
        | ~ member(not_subclass_element(intersection(regular(X0),X1),X2),X0)
        | null_class = X0
        | subclass(intersection(regular(X0),X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f1041,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(regular(X0),X1),X2),null_class)
        | ~ member(not_subclass_element(intersection(regular(X0),X1),X2),X0)
        | null_class = X0
        | subclass(intersection(regular(X0),X1),X2) )
    | ~ spl0_119
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f967]) ).

fof(f9175,plain,
    ( spl0_480
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1000,f970,f382,f9173]) ).

fof(f1000,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,unordered_pair(X1,X2)),X3)
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X1
        | not_subclass_element(intersection(X0,unordered_pair(X1,X2)),X3) = X2 )
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f383]) ).

fof(f9171,plain,
    ( spl0_479
    | ~ spl0_42
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f983,f966,f382,f9169]) ).

fof(f983,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(unordered_pair(X0,X1),X2),X3)
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X0
        | not_subclass_element(intersection(unordered_pair(X0,X1),X2),X3) = X1 )
    | ~ spl0_42
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f383]) ).

fof(f9167,plain,
    ( ~ spl0_478
    | spl0_108
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f5362,f4931,f834,f9164]) ).

fof(f5362,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),null_class)
    | spl0_108
    | ~ spl0_367 ),
    inference(superposition,[],[f836,f4933]) ).

fof(f9154,plain,
    ( spl0_477
    | ~ spl0_367
    | ~ spl0_476 ),
    inference(avatar_split_clause,[],[f9150,f9147,f4931,f9152]) ).

fof(f9147,plain,
    ( spl0_476
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f9150,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | ~ member(X0,X1) )
    | ~ spl0_367
    | ~ spl0_476 ),
    inference(forward_demodulation,[],[f9148,f4933]) ).

fof(f9148,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1) )
    | ~ spl0_476 ),
    inference(avatar_component_clause,[],[f9147]) ).

fof(f9149,plain,
    ( spl0_476
    | ~ spl0_72
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f771,f723,f567,f9147]) ).

fof(f771,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1) )
    | ~ spl0_72
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f568]) ).

fof(f9145,plain,
    ( ~ spl0_2
    | ~ spl0_474
    | spl0_475
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f765,f719,f464,f9142,f9138,f175]) ).

fof(f175,plain,
    ( spl0_2
  <=> inductive(omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f9138,plain,
    ( spl0_474
  <=> inductive(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f9142,plain,
    ( spl0_475
  <=> omega = domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f719,plain,
    ( spl0_96
  <=> ! [X0] :
        ( ~ subclass(X0,omega)
        | omega = X0
        | ~ inductive(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f765,plain,
    ( omega = domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class))))
    | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(omega,universal_class)),universal_class)))))
    | ~ inductive(omega)
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(resolution,[],[f720,f465]) ).

fof(f720,plain,
    ( ! [X0] :
        ( ~ subclass(X0,omega)
        | omega = X0
        | ~ inductive(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f9136,plain,
    ( ~ spl0_473
    | ~ spl0_367
    | spl0_472 ),
    inference(avatar_split_clause,[],[f9131,f9127,f4931,f9133]) ).

fof(f9133,plain,
    ( spl0_473
  <=> member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f9127,plain,
    ( spl0_472
  <=> member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f9131,plain,
    ( ~ member(domain_of(intersection(null_class,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),subset_relation)
    | ~ spl0_367
    | spl0_472 ),
    inference(forward_demodulation,[],[f9128,f4933]) ).

fof(f9128,plain,
    ( ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),subset_relation)
    | spl0_472 ),
    inference(avatar_component_clause,[],[f9127]) ).

fof(f9130,plain,
    ( spl0_215
    | ~ spl0_471
    | spl0_472
    | ~ spl0_71
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f672,f661,f557,f9127,f9123,f2205]) ).

fof(f672,plain,
    ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),subset_relation)
    | ~ member(identity_relation,universal_class)
    | null_class = identity_relation
    | ~ spl0_71
    | ~ spl0_89 ),
    inference(resolution,[],[f662,f558]) ).

fof(f9093,plain,
    ( spl0_470
    | ~ spl0_56
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1576,f1572,f469,f9091]) ).

fof(f9091,plain,
    ( spl0_470
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism2(X0,X1,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f1576,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism2(X0,X1,X2),X4) )
    | ~ spl0_56
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f470]) ).

fof(f9089,plain,
    ( spl0_469
    | ~ spl0_57
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1575,f1572,f473,f9087]) ).

fof(f9087,plain,
    ( spl0_469
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f1575,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),cross_product(X3,X4))
        | ~ operation(X2)
        | member(not_homomorphism1(X0,X1,X2),X3) )
    | ~ spl0_57
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f474]) ).

fof(f9085,plain,
    ( spl0_468
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1219,f1201,f322,f9083]) ).

fof(f1219,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | ~ subclass(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = X2 )
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f323]) ).

fof(f9081,plain,
    ( spl0_467
    | ~ spl0_94
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1151,f1135,f711,f9079]) ).

fof(f9079,plain,
    ( spl0_467
  <=> ! [X0,X1] :
        ( null_class = cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f1151,plain,
    ( ! [X0,X1] :
        ( null_class = cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)
        | ~ subclass(universal_class,domain_of(regular(cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)))) )
    | ~ spl0_94
    | ~ spl0_134 ),
    inference(resolution,[],[f1136,f712]) ).

fof(f9073,plain,
    ( spl0_466
    | ~ spl0_367
    | ~ spl0_464 ),
    inference(avatar_split_clause,[],[f9064,f9060,f4931,f9071]) ).

fof(f9071,plain,
    ( spl0_466
  <=> ! [X2,X0,X1] :
        ( domain_of(intersection(null_class,cross_product(universal_class,X2))) = X1
        | domain_of(intersection(null_class,cross_product(universal_class,X2))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f9060,plain,
    ( spl0_464
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f9064,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(null_class,cross_product(universal_class,X2))) = X1
        | domain_of(intersection(null_class,cross_product(universal_class,X2))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class) )
    | ~ spl0_367
    | ~ spl0_464 ),
    inference(forward_demodulation,[],[f9063,f4933]) ).

fof(f9063,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(intersection(null_class,cross_product(universal_class,X2))) = X0
        | ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X1 )
    | ~ spl0_367
    | ~ spl0_464 ),
    inference(forward_demodulation,[],[f9061,f4933]) ).

fof(f9061,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X1 )
    | ~ spl0_464 ),
    inference(avatar_component_clause,[],[f9060]) ).

fof(f9069,plain,
    ( spl0_465
    | ~ spl0_174
    | ~ spl0_434 ),
    inference(avatar_split_clause,[],[f7870,f7819,f1618,f9066]) ).

fof(f7870,plain,
    ( member(u,intersection(null_class,subset_relation))
    | ~ spl0_174
    | ~ spl0_434 ),
    inference(resolution,[],[f7821,f1619]) ).

fof(f9062,plain,
    ( spl0_464
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1105,f1093,f382,f9060]) ).

fof(f1105,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | ~ member(X2,universal_class)
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,X2))) = X1 )
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f383]) ).

fof(f8499,plain,
    ( spl0_463
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1386,f1351,f253,f8497]) ).

fof(f8497,plain,
    ( spl0_463
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | ~ function(cross_product(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f253,plain,
    ( spl0_20
  <=> ! [X8] :
        ( ~ function(X8)
        | subclass(X8,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1386,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | ~ function(cross_product(X1,X3)) )
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(resolution,[],[f1352,f254]) ).

fof(f254,plain,
    ( ! [X8] :
        ( subclass(X8,cross_product(universal_class,universal_class))
        | ~ function(X8) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f8418,plain,
    ( spl0_462
    | ~ spl0_367
    | ~ spl0_461 ),
    inference(avatar_split_clause,[],[f8414,f8411,f4931,f8416]) ).

fof(f8411,plain,
    ( spl0_461
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(element_relation,X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f8414,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(null_class,X2)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2) )
    | ~ spl0_367
    | ~ spl0_461 ),
    inference(forward_demodulation,[],[f8412,f4933]) ).

fof(f8412,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,universal_class)
        | ~ subclass(element_relation,X2)
        | ~ member(X0,X1) )
    | ~ spl0_461 ),
    inference(avatar_component_clause,[],[f8411]) ).

fof(f8413,plain,
    ( spl0_461
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1322,f1281,f318,f8411]) ).

fof(f1322,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class)
        | ~ subclass(element_relation,X2)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2) )
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(resolution,[],[f1282,f319]) ).

fof(f8347,plain,
    ( spl0_460
    | ~ spl0_367
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f8343,f8340,f4931,f8345]) ).

fof(f8345,plain,
    ( spl0_460
  <=> ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X1),universal_class)),universal_class))))),X2)
        | ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f8340,plain,
    ( spl0_459
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f8343,plain,
    ( ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X1),universal_class)),universal_class))))),X2)
        | ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2) )
    | ~ spl0_367
    | ~ spl0_459 ),
    inference(forward_demodulation,[],[f8341,f4933]) ).

fof(f8341,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,universal_class)
        | ~ subclass(universal_class,X0)
        | ~ subclass(X0,X2)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X2) )
    | ~ spl0_459 ),
    inference(avatar_component_clause,[],[f8340]) ).

fof(f8342,plain,
    ( spl0_459
    | ~ spl0_33
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1306,f1269,f318,f8340]) ).

fof(f1306,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X2) )
    | ~ spl0_33
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f319]) ).

fof(f8338,plain,
    ( spl0_458
    | ~ spl0_33
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1284,f1265,f318,f8336]) ).

fof(f8336,plain,
    ( spl0_458
  <=> ! [X0,X3,X2,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,X1)
        | ~ member(X2,universal_class)
        | ~ subclass(X1,X3)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f1284,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,X1)
        | ~ member(X2,universal_class)
        | ~ subclass(X1,X3)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X3) )
    | ~ spl0_33
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f319]) ).

fof(f8334,plain,
    ( spl0_457
    | ~ spl0_51
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1245,f1209,f440,f8332]) ).

fof(f8332,plain,
    ( spl0_457
  <=> ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(X1,universal_class))))
        | ~ member(X0,universal_class)
        | member(X0,domain_of(domain_of(X1)))
        | ~ operation(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f440,plain,
    ( spl0_51
  <=> ! [X8] :
        ( ~ operation(X8)
        | subclass(domain_of(domain_of(flip(cross_product(X8,universal_class)))),domain_of(domain_of(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1245,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),domain_of(flip(cross_product(X1,universal_class))))
        | ~ member(X0,universal_class)
        | member(X0,domain_of(domain_of(X1)))
        | ~ operation(X1) )
    | ~ spl0_51
    | ~ spl0_140 ),
    inference(resolution,[],[f1210,f441]) ).

fof(f441,plain,
    ( ! [X8] :
        ( subclass(domain_of(domain_of(flip(cross_product(X8,universal_class)))),domain_of(domain_of(X8)))
        | ~ operation(X8) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f8330,plain,
    ( spl0_456
    | ~ spl0_96
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1220,f1201,f719,f8328]) ).

fof(f8328,plain,
    ( spl0_456
  <=> ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),omega) = X1
        | not_subclass_element(unordered_pair(X0,X1),omega) = X0
        | unordered_pair(X0,X1) = omega
        | ~ inductive(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f1220,plain,
    ( ! [X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),omega) = X1
        | not_subclass_element(unordered_pair(X0,X1),omega) = X0
        | unordered_pair(X0,X1) = omega
        | ~ inductive(unordered_pair(X0,X1)) )
    | ~ spl0_96
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f720]) ).

fof(f8326,plain,
    ( ~ spl0_455
    | spl0_254
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f8133,f3977,f2658,f8323]) ).

fof(f2658,plain,
    ( spl0_254
  <=> inductive(complement(unordered_pair(u,u))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f8133,plain,
    ( ~ inductive(complement(null_class))
    | spl0_254
    | ~ spl0_325 ),
    inference(superposition,[],[f2660,f3979]) ).

fof(f2660,plain,
    ( ~ inductive(complement(unordered_pair(u,u)))
    | spl0_254 ),
    inference(avatar_component_clause,[],[f2658]) ).

fof(f8321,plain,
    ( spl0_454
    | ~ spl0_106
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1149,f1135,f826,f8319]) ).

fof(f8319,plain,
    ( spl0_454
  <=> ! [X0] :
        ( null_class = cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(regular(X0),regular(X0)),universal_class))))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f1149,plain,
    ( ! [X0] :
        ( null_class = cross_product(unordered_pair(regular(X0),regular(X0)),universal_class)
        | ~ subclass(X0,domain_of(regular(cross_product(unordered_pair(regular(X0),regular(X0)),universal_class))))
        | null_class = X0 )
    | ~ spl0_106
    | ~ spl0_134 ),
    inference(resolution,[],[f1136,f827]) ).

fof(f8312,plain,
    ( spl0_451
    | spl0_452
    | ~ spl0_453
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1059,f1028,f257,f8309,f8305,f8301]) ).

fof(f8305,plain,
    ( spl0_452
  <=> member(regular(domain_of(flip(cross_product(subset_relation,universal_class)))),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f8309,plain,
    ( spl0_453
  <=> member(regular(domain_of(flip(cross_product(subset_relation,universal_class)))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f1059,plain,
    ( ~ member(regular(domain_of(flip(cross_product(subset_relation,universal_class)))),subset_relation)
    | member(regular(domain_of(flip(cross_product(subset_relation,universal_class)))),identity_relation)
    | null_class = domain_of(flip(cross_product(subset_relation,universal_class)))
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f258]) ).

fof(f8299,plain,
    ( spl0_450
    | ~ spl0_115
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1047,f1024,f895,f8297]) ).

fof(f8297,plain,
    ( spl0_450
  <=> ! [X0,X1] :
        ( member(regular(intersection(X0,regular(X1))),null_class)
        | ~ member(regular(intersection(X0,regular(X1))),X1)
        | null_class = X1
        | null_class = intersection(X0,regular(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f1047,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(X0,regular(X1))),null_class)
        | ~ member(regular(intersection(X0,regular(X1))),X1)
        | null_class = X1
        | null_class = intersection(X0,regular(X1)) )
    | ~ spl0_115
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f896]) ).

fof(f8295,plain,
    ( spl0_449
    | ~ spl0_114
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1045,f1024,f891,f8293]) ).

fof(f8293,plain,
    ( spl0_449
  <=> ! [X0,X1] :
        ( member(regular(intersection(regular(X0),X1)),null_class)
        | ~ member(regular(intersection(regular(X0),X1)),X0)
        | null_class = X0
        | null_class = intersection(regular(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f1045,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(regular(X0),X1)),null_class)
        | ~ member(regular(intersection(regular(X0),X1)),X0)
        | null_class = X0
        | null_class = intersection(regular(X0),X1) )
    | ~ spl0_114
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f892]) ).

fof(f8291,plain,
    ( spl0_448
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f931,f895,f382,f8289]) ).

fof(f931,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,unordered_pair(X1,X2))
        | regular(intersection(X0,unordered_pair(X1,X2))) = X1
        | regular(intersection(X0,unordered_pair(X1,X2))) = X2 )
    | ~ spl0_42
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f383]) ).

fof(f8287,plain,
    ( spl0_447
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f916,f891,f382,f8285]) ).

fof(f916,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X2)
        | regular(intersection(unordered_pair(X0,X1),X2)) = X0
        | regular(intersection(unordered_pair(X0,X1),X2)) = X1 )
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f383]) ).

fof(f7898,plain,
    ( spl0_446
    | ~ spl0_367
    | ~ spl0_445 ),
    inference(avatar_split_clause,[],[f7894,f7891,f4931,f7896]) ).

fof(f7896,plain,
    ( spl0_446
  <=> ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),null_class)
        | member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f7891,plain,
    ( spl0_445
  <=> ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),element_relation)
        | member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f7894,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),null_class)
        | member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_367
    | ~ spl0_445 ),
    inference(forward_demodulation,[],[f7892,f4933]) ).

fof(f7892,plain,
    ( ! [X0,X1] :
        ( member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | ~ member(regular(cross_product(X0,X1)),element_relation)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_445 ),
    inference(avatar_component_clause,[],[f7891]) ).

fof(f7893,plain,
    ( spl0_445
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1547,f1544,f456,f7891]) ).

fof(f1547,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),element_relation)
        | member(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(superposition,[],[f457,f1545]) ).

fof(f7889,plain,
    ( spl0_444
    | ~ spl0_116
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1440,f1396,f899,f7887]) ).

fof(f7887,plain,
    ( spl0_444
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f1440,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class) )
    | ~ spl0_116
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f1439]) ).

fof(f1439,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
        | subclass(X1,domain_of(X0))
        | ~ subclass(X1,universal_class)
        | subclass(X1,domain_of(X0)) )
    | ~ spl0_116
    | ~ spl0_159 ),
    inference(resolution,[],[f1397,f900]) ).

fof(f7869,plain,
    ( spl0_443
    | ~ spl0_367
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f7865,f7862,f4931,f7867]) ).

fof(f7867,plain,
    ( spl0_443
  <=> ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))),X0)
        | ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f7862,plain,
    ( spl0_442
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f7865,plain,
    ( ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))),X0)
        | ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class) )
    | ~ spl0_367
    | ~ spl0_442 ),
    inference(forward_demodulation,[],[f7863,f4933]) ).

fof(f7863,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X0) )
    | ~ spl0_442 ),
    inference(avatar_component_clause,[],[f7862]) ).

fof(f7864,plain,
    ( spl0_442
    | ~ spl0_27
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1311,f1269,f284,f7862]) ).

fof(f1311,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X0) )
    | ~ spl0_27
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f285]) ).

fof(f7851,plain,
    ( spl0_441
    | ~ spl0_367
    | ~ spl0_440 ),
    inference(avatar_split_clause,[],[f7847,f7844,f4931,f7849]) ).

fof(f7849,plain,
    ( spl0_441
  <=> ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))),X1)
        | ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f7844,plain,
    ( spl0_440
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f7847,plain,
    ( ! [X2,X0,X1] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X2),universal_class)),universal_class))))),X1)
        | ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class) )
    | ~ spl0_367
    | ~ spl0_440 ),
    inference(forward_demodulation,[],[f7845,f4933]) ).

fof(f7845,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X1) )
    | ~ spl0_440 ),
    inference(avatar_component_clause,[],[f7844]) ).

fof(f7846,plain,
    ( spl0_440
    | ~ spl0_28
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1310,f1269,f288,f7844]) ).

fof(f1310,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),X1) )
    | ~ spl0_28
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f289]) ).

fof(f7842,plain,
    ( spl0_439
    | ~ spl0_27
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1289,f1265,f284,f7840]) ).

fof(f7840,plain,
    ( spl0_439
  <=> ! [X0,X3,X2,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,intersection(X1,X2))
        | ~ member(X3,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f1289,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,intersection(X1,X2))
        | ~ member(X3,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))),X1) )
    | ~ spl0_27
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f285]) ).

fof(f7838,plain,
    ( spl0_438
    | ~ spl0_28
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1288,f1265,f288,f7836]) ).

fof(f7836,plain,
    ( spl0_438
  <=> ! [X0,X3,X2,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,intersection(X1,X2))
        | ~ member(X3,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f1288,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,intersection(X1,X2))
        | ~ member(X3,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X3,universal_class),X0),universal_class)))),X2) )
    | ~ spl0_28
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f289]) ).

fof(f7834,plain,
    ( spl0_437
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1184,f1154,f1024,f7832]) ).

fof(f7832,plain,
    ( spl0_437
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f1184,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 )
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1163]) ).

fof(f1163,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(superposition,[],[f1025,f1155]) ).

fof(f7830,plain,
    ( spl0_436
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1179,f1154,f1024,f7828]) ).

fof(f7828,plain,
    ( spl0_436
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,X0)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f1179,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X0)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1168]) ).

fof(f1168,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X0)
        | member(X2,null_class)
        | ~ member(X2,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_124
    | ~ spl0_135 ),
    inference(superposition,[],[f1025,f1155]) ).

fof(f7826,plain,
    ( spl0_435
    | ~ spl0_43
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f860,f822,f386,f7824]) ).

fof(f7824,plain,
    ( spl0_435
  <=> ! [X2,X0,X1] :
        ( subclass(complement(intersection(X0,X1)),X2)
        | ~ member(not_subclass_element(complement(intersection(X0,X1)),X2),X1)
        | ~ member(not_subclass_element(complement(intersection(X0,X1)),X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f860,plain,
    ( ! [X2,X0,X1] :
        ( subclass(complement(intersection(X0,X1)),X2)
        | ~ member(not_subclass_element(complement(intersection(X0,X1)),X2),X1)
        | ~ member(not_subclass_element(complement(intersection(X0,X1)),X2),X0) )
    | ~ spl0_43
    | ~ spl0_105 ),
    inference(resolution,[],[f823,f387]) ).

fof(f7822,plain,
    ( spl0_434
    | ~ spl0_278
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7126,f7108,f2933,f7819]) ).

fof(f2933,plain,
    ( spl0_278
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
        | subclass(X0,intersection(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f7126,plain,
    ( subclass(subset_relation,intersection(null_class,subset_relation))
    | ~ spl0_278
    | ~ spl0_414 ),
    inference(duplicate_literal_removal,[],[f7114]) ).

fof(f7114,plain,
    ( subclass(subset_relation,intersection(null_class,subset_relation))
    | subclass(subset_relation,intersection(null_class,subset_relation))
    | ~ spl0_278
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f2934]) ).

fof(f2934,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
        | subclass(X0,intersection(X1,X0)) )
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f2933]) ).

fof(f7686,plain,
    ( spl0_433
    | ~ spl0_367
    | ~ spl0_432 ),
    inference(avatar_split_clause,[],[f7682,f7679,f4931,f7684]) ).

fof(f7684,plain,
    ( spl0_433
  <=> ! [X0,X1] :
        ( ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X1),universal_class)),universal_class))))),X0)
        | ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f7679,plain,
    ( spl0_432
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f7682,plain,
    ( ! [X0,X1] :
        ( ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(complement(X1),universal_class)),universal_class))))),X0)
        | ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class) )
    | ~ spl0_367
    | ~ spl0_432 ),
    inference(forward_demodulation,[],[f7680,f4933]) ).

fof(f7680,plain,
    ( ! [X0,X1] :
        ( ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X0)
        | ~ member(X1,universal_class)
        | ~ subclass(universal_class,complement(X0)) )
    | ~ spl0_432 ),
    inference(avatar_component_clause,[],[f7679]) ).

fof(f7681,plain,
    ( spl0_432
    | ~ spl0_18
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1313,f1269,f245,f7679]) ).

fof(f1313,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),X0) )
    | ~ spl0_18
    | ~ spl0_146 ),
    inference(resolution,[],[f1270,f246]) ).

fof(f7677,plain,
    ( spl0_431
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1291,f1265,f245,f7675]) ).

fof(f7675,plain,
    ( spl0_431
  <=> ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,complement(X1))
        | ~ member(X2,universal_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f1291,plain,
    ( ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ subclass(universal_class,complement(X1))
        | ~ member(X2,universal_class)
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X2,universal_class),X0),universal_class)))),X1) )
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(resolution,[],[f1266,f246]) ).

fof(f7673,plain,
    ( spl0_430
    | ~ spl0_95
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1218,f1201,f715,f7671]) ).

fof(f7671,plain,
    ( spl0_430
  <=> ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(null_class,X2)
        | ~ inductive(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f715,plain,
    ( spl0_95
  <=> ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | member(null_class,X1)
        | ~ inductive(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1218,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(null_class,X2)
        | ~ inductive(unordered_pair(X0,X1)) )
    | ~ spl0_95
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f716]) ).

fof(f716,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | member(null_class,X1)
        | ~ inductive(X0) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f7610,plain,
    ( spl0_429
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_428 ),
    inference(avatar_split_clause,[],[f7606,f7602,f5770,f4931,f2341,f7608]) ).

fof(f7602,plain,
    ( spl0_428
  <=> ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))),X1)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f7606,plain,
    ( ! [X0,X1] :
        ( ~ subclass(null_class,X1)
        | ~ member(X0,subset_relation)
        | member(X0,X1) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_428 ),
    inference(forward_demodulation,[],[f7605,f5775]) ).

fof(f7605,plain,
    ( ! [X0,X1] :
        ( ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))),X1)
        | ~ member(X0,subset_relation)
        | member(X0,X1) )
    | ~ spl0_367
    | ~ spl0_428 ),
    inference(forward_demodulation,[],[f7603,f4933]) ).

fof(f7603,plain,
    ( ! [X0,X1] :
        ( ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))),X1)
        | ~ member(X0,subset_relation)
        | member(X0,X1) )
    | ~ spl0_428 ),
    inference(avatar_component_clause,[],[f7602]) ).

fof(f7604,plain,
    ( spl0_428
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1196,f1189,f318,f7602]) ).

fof(f1196,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ subclass(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))),X1)
        | member(X0,X1) )
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(resolution,[],[f1190,f319]) ).

fof(f7600,plain,
    ( spl0_427
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1066,f1028,f490,f390,f7598]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( null_class = intersection(flip(cross_product(subset_relation,universal_class)),cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,subset_relation)
        | member(X0,identity_relation)
        | ~ member(X0,universal_class) )
    | ~ spl0_44
    | ~ spl0_61
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f1053,f391]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,identity_relation)
        | ~ member(X0,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),flip(cross_product(subset_relation,universal_class))) )
    | ~ spl0_61
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f491]) ).

fof(f7191,plain,
    ( spl0_426
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4823,f1276,f382,f7189]) ).

fof(f7189,plain,
    ( spl0_426
  <=> ! [X0] :
        ( ~ member(X0,null_class)
        | unordered_pair(first(null_class),first(null_class)) = X0
        | unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f4823,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | unordered_pair(first(null_class),first(null_class)) = X0
        | unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))) = X0 )
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(superposition,[],[f383,f1278]) ).

fof(f7178,plain,
    ( ~ spl0_9
    | spl0_424 ),
    inference(avatar_contradiction_clause,[],[f7176]) ).

fof(f7176,plain,
    ( $false
    | ~ spl0_9
    | spl0_424 ),
    inference(resolution,[],[f7170,f207]) ).

fof(f7170,plain,
    ( ~ member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),universal_class)
    | spl0_424 ),
    inference(avatar_component_clause,[],[f7168]) ).

fof(f7168,plain,
    ( spl0_424
  <=> member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f7175,plain,
    ( ~ spl0_424
    | spl0_425
    | ~ spl0_26
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4822,f1276,f280,f7172,f7168]) ).

fof(f4822,plain,
    ( member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),null_class)
    | ~ member(unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))),universal_class)
    | ~ spl0_26
    | ~ spl0_148 ),
    inference(superposition,[],[f281,f1278]) ).

fof(f7166,plain,
    ( spl0_423
    | ~ spl0_57
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1549,f1544,f473,f7164]) ).

fof(f7164,plain,
    ( spl0_423
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | member(first(regular(cross_product(X0,X1))),X2)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f1549,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | member(first(regular(cross_product(X0,X1))),X2)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_57
    | ~ spl0_170 ),
    inference(superposition,[],[f474,f1545]) ).

fof(f7162,plain,
    ( spl0_422
    | ~ spl0_56
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1548,f1544,f469,f7160]) ).

fof(f7160,plain,
    ( spl0_422
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | member(second(regular(cross_product(X0,X1))),X3)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f1548,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
        | member(second(regular(cross_product(X0,X1))),X3)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_56
    | ~ spl0_170 ),
    inference(superposition,[],[f470,f1545]) ).

fof(f7158,plain,
    ( spl0_421
    | ~ spl0_20
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1249,f1209,f253,f7156]) ).

fof(f7156,plain,
    ( spl0_421
  <=> ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
        | ~ member(X0,universal_class)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(domain_of(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f1249,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
        | ~ member(X0,universal_class)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(domain_of(X1)) )
    | ~ spl0_20
    | ~ spl0_140 ),
    inference(resolution,[],[f1210,f254]) ).

fof(f7154,plain,
    ( spl0_420
    | ~ spl0_117
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1217,f1201,f908,f7152]) ).

fof(f1217,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X0,X2)
        | ~ member(X0,universal_class) )
    | ~ spl0_117
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f909]) ).

fof(f7150,plain,
    ( spl0_419
    | ~ spl0_23
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f7129,f7108,f268,f7147]) ).

fof(f7129,plain,
    ( subclass(subset_relation,null_class)
    | ~ spl0_23
    | ~ spl0_414 ),
    inference(duplicate_literal_removal,[],[f7111]) ).

fof(f7111,plain,
    ( subclass(subset_relation,null_class)
    | subclass(subset_relation,null_class)
    | ~ spl0_23
    | ~ spl0_414 ),
    inference(resolution,[],[f7109,f269]) ).

fof(f7145,plain,
    ( spl0_418
    | ~ spl0_118
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1216,f1201,f912,f7143]) ).

fof(f1216,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | member(X1,X2)
        | ~ member(X1,universal_class) )
    | ~ spl0_118
    | ~ spl0_138 ),
    inference(resolution,[],[f1202,f913]) ).

fof(f7141,plain,
    ( spl0_417
    | ~ spl0_33
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1185,f1158,f318,f7139]) ).

fof(f7139,plain,
    ( spl0_417
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ subclass(universal_class,X2)
        | member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f1158,plain,
    ( spl0_136
  <=> ! [X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ function(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1185,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ subclass(universal_class,X2)
        | member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),X2) )
    | ~ spl0_33
    | ~ spl0_136 ),
    inference(resolution,[],[f1159,f319]) ).

fof(f1159,plain,
    ( ! [X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ function(X1) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f7137,plain,
    ( spl0_416
    | ~ spl0_116
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1065,f1028,f899,f7135]) ).

fof(f7135,plain,
    ( spl0_416
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,X1),subset_relation)
        | member(not_subclass_element(X0,X1),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f1065,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,X1),subset_relation)
        | member(not_subclass_element(X0,X1),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(X0,X1) )
    | ~ spl0_116
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f900]) ).

fof(f7133,plain,
    ( spl0_415
    | ~ spl0_116
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1050,f1024,f899,f7131]) ).

fof(f7131,plain,
    ( spl0_415
  <=> ! [X2,X0,X1] :
        ( member(not_subclass_element(X0,X1),null_class)
        | ~ member(not_subclass_element(X0,X1),X2)
        | null_class = X2
        | ~ subclass(X0,regular(X2))
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f1050,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(X0,X1),null_class)
        | ~ member(not_subclass_element(X0,X1),X2)
        | null_class = X2
        | ~ subclass(X0,regular(X2))
        | subclass(X0,X1) )
    | ~ spl0_116
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f900]) ).

fof(f7110,plain,
    ( spl0_414
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_413 ),
    inference(avatar_split_clause,[],[f7106,f7102,f5770,f4931,f2341,f7108]) ).

fof(f7102,plain,
    ( spl0_413
  <=> ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | subclass(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f7106,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),null_class)
        | subclass(subset_relation,X0) )
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_413 ),
    inference(forward_demodulation,[],[f7105,f5775]) ).

fof(f7105,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
        | subclass(subset_relation,X0) )
    | ~ spl0_367
    | ~ spl0_413 ),
    inference(forward_demodulation,[],[f7103,f4933]) ).

fof(f7103,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | subclass(subset_relation,X0) )
    | ~ spl0_413 ),
    inference(avatar_component_clause,[],[f7102]) ).

fof(f7104,plain,
    ( spl0_413
    | ~ spl0_65
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1013,f970,f520,f7102]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | subclass(subset_relation,X0) )
    | ~ spl0_65
    | ~ spl0_120 ),
    inference(superposition,[],[f971,f522]) ).

fof(f7100,plain,
    ( spl0_412
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f798,f786,f386,f7098]) ).

fof(f7098,plain,
    ( spl0_412
  <=> ! [X0,X1] :
        ( complement(intersection(X0,X1)) = null_class
        | ~ member(regular(complement(intersection(X0,X1))),X1)
        | ~ member(regular(complement(intersection(X0,X1))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f798,plain,
    ( ! [X0,X1] :
        ( complement(intersection(X0,X1)) = null_class
        | ~ member(regular(complement(intersection(X0,X1))),X1)
        | ~ member(regular(complement(intersection(X0,X1))),X0) )
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(resolution,[],[f787,f387]) ).

fof(f7078,plain,
    ( ~ spl0_411
    | spl0_303
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f4748,f3977,f3465,f7075]) ).

fof(f3465,plain,
    ( spl0_303
  <=> null_class = complement(unordered_pair(u,u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f4748,plain,
    ( null_class != complement(null_class)
    | spl0_303
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f3466,f3979]) ).

fof(f3466,plain,
    ( null_class != complement(unordered_pair(u,u))
    | spl0_303 ),
    inference(avatar_component_clause,[],[f3465]) ).

fof(f6950,plain,
    ( spl0_410
    | ~ spl0_22
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1443,f1396,f264,f6948]) ).

fof(f6948,plain,
    ( spl0_410
  <=> ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f1443,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0)) )
    | ~ spl0_22
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f1436]) ).

fof(f1436,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0))
        | subclass(universal_class,domain_of(X0)) )
    | ~ spl0_22
    | ~ spl0_159 ),
    inference(resolution,[],[f1397,f265]) ).

fof(f6890,plain,
    ( spl0_409
    | ~ spl0_367
    | ~ spl0_408 ),
    inference(avatar_split_clause,[],[f6886,f6883,f4931,f6888]) ).

fof(f6888,plain,
    ( spl0_409
  <=> ! [X0] :
        ( ~ member(X0,complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))
        | member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f6883,plain,
    ( spl0_408
  <=> ! [X0] :
        ( member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f6886,plain,
    ( ! [X0] :
        ( ~ member(X0,complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class))))))
        | member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_367
    | ~ spl0_408 ),
    inference(forward_demodulation,[],[f6884,f4933]) ).

fof(f6884,plain,
    ( ! [X0] :
        ( ~ member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
        | ~ member(X0,cross_product(universal_class,universal_class))
        | member(X0,subset_relation) )
    | ~ spl0_408 ),
    inference(avatar_component_clause,[],[f6883]) ).

fof(f6885,plain,
    ( spl0_408
    | ~ spl0_43
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1421,f1390,f386,f6883]) ).

fof(f1421,plain,
    ( ! [X0] :
        ( member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) )
    | ~ spl0_43
    | ~ spl0_158 ),
    inference(duplicate_literal_removal,[],[f1405]) ).

fof(f1405,plain,
    ( ! [X0] :
        ( member(X0,subset_relation)
        | ~ member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))
        | ~ member(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_43
    | ~ spl0_158 ),
    inference(resolution,[],[f1391,f387]) ).

fof(f6881,plain,
    ( spl0_407
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1182,f1154,f826,f6879]) ).

fof(f6879,plain,
    ( spl0_407
  <=> ! [X2,X0,X1] :
        ( member(X1,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f1182,plain,
    ( ! [X2,X0,X1] :
        ( member(X1,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 )
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1165]) ).

fof(f1165,plain,
    ( ! [X2,X0,X1] :
        ( member(X1,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(superposition,[],[f827,f1155]) ).

fof(f6877,plain,
    ( spl0_406
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1177,f1154,f826,f6875]) ).

fof(f6875,plain,
    ( spl0_406
  <=> ! [X2,X0,X1] :
        ( member(X0,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f1177,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1170]) ).

fof(f1170,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X2)
        | ~ subclass(unordered_pair(X0,X1),X2)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_106
    | ~ spl0_135 ),
    inference(superposition,[],[f827,f1155]) ).

fof(f6868,plain,
    ( spl0_405
    | ~ spl0_22
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1040,f1024,f264,f6866]) ).

fof(f6866,plain,
    ( spl0_405
  <=> ! [X0,X1] :
        ( member(not_subclass_element(regular(X0),X1),null_class)
        | ~ member(not_subclass_element(regular(X0),X1),X0)
        | null_class = X0
        | subclass(regular(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f1040,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(regular(X0),X1),null_class)
        | ~ member(not_subclass_element(regular(X0),X1),X0)
        | null_class = X0
        | subclass(regular(X0),X1) )
    | ~ spl0_22
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f265]) ).

fof(f6854,plain,
    ( spl0_404
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_403 ),
    inference(avatar_split_clause,[],[f6849,f6844,f5770,f4931,f2341,f6851]) ).

fof(f6849,plain,
    ( member(regular(subset_relation),null_class)
    | ~ spl0_230
    | ~ spl0_367
    | spl0_387
    | ~ spl0_403 ),
    inference(forward_demodulation,[],[f6848,f5775]) ).

fof(f6848,plain,
    ( member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | ~ spl0_367
    | ~ spl0_403 ),
    inference(forward_demodulation,[],[f6846,f4933]) ).

fof(f6847,plain,
    ( spl0_242
    | spl0_403
    | ~ spl0_65
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f944,f895,f520,f6844,f2438]) ).

fof(f944,plain,
    ( member(regular(subset_relation),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | null_class = subset_relation
    | ~ spl0_65
    | ~ spl0_115 ),
    inference(superposition,[],[f896,f522]) ).

fof(f6842,plain,
    ( spl0_402
    | ~ spl0_39
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f862,f822,f365,f6840]) ).

fof(f6840,plain,
    ( spl0_402
  <=> ! [X0,X1] :
        ( subclass(complement(complement(X0)),X1)
        | member(not_subclass_element(complement(complement(X0)),X1),X0)
        | ~ member(not_subclass_element(complement(complement(X0)),X1),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f862,plain,
    ( ! [X0,X1] :
        ( subclass(complement(complement(X0)),X1)
        | member(not_subclass_element(complement(complement(X0)),X1),X0)
        | ~ member(not_subclass_element(complement(complement(X0)),X1),universal_class) )
    | ~ spl0_39
    | ~ spl0_105 ),
    inference(resolution,[],[f823,f366]) ).

fof(f6838,plain,
    ( spl0_401
    | ~ spl0_68
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f768,f723,f540,f6836]) ).

fof(f6836,plain,
    ( spl0_401
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f768,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
    | ~ spl0_68
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f541]) ).

fof(f6808,plain,
    ( spl0_400
    | ~ spl0_325
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f6804,f6799,f3977,f6806]) ).

fof(f6806,plain,
    ( spl0_400
  <=> ! [X0] :
        ( subclass(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f6799,plain,
    ( spl0_399
  <=> ! [X0] :
        ( member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f6804,plain,
    ( ! [X0] :
        ( subclass(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class) )
    | ~ spl0_325
    | ~ spl0_399 ),
    inference(forward_demodulation,[],[f6803,f3979]) ).

fof(f6803,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
        | subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_325
    | ~ spl0_399 ),
    inference(forward_demodulation,[],[f6802,f3979]) ).

fof(f6802,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_325
    | ~ spl0_399 ),
    inference(forward_demodulation,[],[f6800,f3979]) ).

fof(f6800,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_399 ),
    inference(avatar_component_clause,[],[f6799]) ).

fof(f6801,plain,
    ( spl0_399
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f709,f702,f268,f6799]) ).

fof(f709,plain,
    ( ! [X0] :
        ( member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
        | ~ member(not_subclass_element(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),universal_class)
        | subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(resolution,[],[f703,f269]) ).

fof(f6734,plain,
    ( spl0_398
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f4674,f3977,f330,f284,f6731]) ).

fof(f4674,plain,
    ( member(null_class,complement(null_class))
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f2346,f3979]) ).

fof(f2346,plain,
    ( member(null_class,complement(unordered_pair(u,u)))
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(resolution,[],[f331,f285]) ).

fof(f6574,plain,
    ( spl0_397
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1181,f1154,f326,f6572]) ).

fof(f6572,plain,
    ( spl0_397
  <=> ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X1)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f1181,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X1)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 )
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1166]) ).

fof(f1166,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X1)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(superposition,[],[f327,f1155]) ).

fof(f6570,plain,
    ( spl0_396
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1176,f1154,f326,f6568]) ).

fof(f6568,plain,
    ( spl0_396
  <=> ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X0)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f1176,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X0)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1171]) ).

fof(f1171,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(unordered_pair(X0,X1),X0)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(superposition,[],[f327,f1155]) ).

fof(f6496,plain,
    ( spl0_395
    | ~ spl0_230
    | spl0_389
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f6492,f6489,f5783,f2341,f6494]) ).

fof(f6494,plain,
    ( spl0_395
  <=> ! [X0] :
        ( successor_relation = X0
        | ~ member(regular(X0),subset_relation)
        | member(regular(X0),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f6489,plain,
    ( spl0_394
  <=> ! [X0] :
        ( ~ member(regular(X0),subset_relation)
        | member(regular(X0),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f6492,plain,
    ( ! [X0] :
        ( successor_relation = X0
        | ~ member(regular(X0),subset_relation)
        | member(regular(X0),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_230
    | spl0_389
    | ~ spl0_394 ),
    inference(forward_demodulation,[],[f6490,f5787]) ).

fof(f6490,plain,
    ( ! [X0] :
        ( ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | member(regular(X0),identity_relation)
        | ~ member(regular(X0),subset_relation)
        | null_class = X0 )
    | ~ spl0_394 ),
    inference(avatar_component_clause,[],[f6489]) ).

fof(f6491,plain,
    ( spl0_394
    | ~ spl0_106
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1061,f1028,f826,f6489]) ).

fof(f1061,plain,
    ( ! [X0] :
        ( ~ member(regular(X0),subset_relation)
        | member(regular(X0),identity_relation)
        | ~ subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class))))
        | null_class = X0 )
    | ~ spl0_106
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f827]) ).

fof(f6365,plain,
    ( spl0_393
    | ~ spl0_230
    | spl0_389
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f6361,f6356,f5783,f2341,f6363]) ).

fof(f6356,plain,
    ( spl0_392
  <=> ! [X0,X1] :
        ( member(regular(X0),null_class)
        | ~ member(regular(X0),X1)
        | null_class = X1
        | ~ subclass(X0,regular(X1))
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f6361,plain,
    ( ! [X0,X1] :
        ( successor_relation = X0
        | successor_relation = X1
        | member(regular(X0),successor_relation)
        | ~ member(regular(X0),X1)
        | ~ subclass(X0,regular(X1)) )
    | ~ spl0_230
    | spl0_389
    | ~ spl0_392 ),
    inference(forward_demodulation,[],[f6360,f5787]) ).

fof(f6360,plain,
    ( ! [X0,X1] :
        ( successor_relation = X1
        | member(regular(X0),successor_relation)
        | ~ member(regular(X0),X1)
        | ~ subclass(X0,regular(X1))
        | null_class = X0 )
    | ~ spl0_230
    | spl0_389
    | ~ spl0_392 ),
    inference(forward_demodulation,[],[f6359,f5787]) ).

fof(f6359,plain,
    ( ! [X0,X1] :
        ( member(regular(X0),successor_relation)
        | ~ member(regular(X0),X1)
        | null_class = X1
        | ~ subclass(X0,regular(X1))
        | null_class = X0 )
    | ~ spl0_230
    | spl0_389
    | ~ spl0_392 ),
    inference(forward_demodulation,[],[f6357,f5787]) ).

fof(f6357,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(X0),X1)
        | member(regular(X0),null_class)
        | null_class = X1
        | ~ subclass(X0,regular(X1))
        | null_class = X0 )
    | ~ spl0_392 ),
    inference(avatar_component_clause,[],[f6356]) ).

fof(f6358,plain,
    ( spl0_392
    | ~ spl0_106
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1046,f1024,f826,f6356]) ).

fof(f1046,plain,
    ( ! [X0,X1] :
        ( member(regular(X0),null_class)
        | ~ member(regular(X0),X1)
        | null_class = X1
        | ~ subclass(X0,regular(X1))
        | null_class = X0 )
    | ~ spl0_106
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f827]) ).

fof(f6354,plain,
    ( spl0_391
    | ~ spl0_42
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f948,f899,f382,f6352]) ).

fof(f948,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | subclass(X0,X3)
        | not_subclass_element(X0,X3) = X1
        | not_subclass_element(X0,X3) = X2 )
    | ~ spl0_42
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f383]) ).

fof(f6350,plain,
    ( spl0_390
    | ~ spl0_105
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f886,f852,f822,f6348]) ).

fof(f6348,plain,
    ( spl0_390
  <=> ! [X0] :
        ( ~ member(not_subclass_element(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),X0),identity_relation)
        | subclass(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f886,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),X0),identity_relation)
        | subclass(complement(domain_of(flip(cross_product(subset_relation,universal_class)))),X0) )
    | ~ spl0_105
    | ~ spl0_112 ),
    inference(resolution,[],[f853,f823]) ).

fof(f5786,plain,
    ( spl0_388
    | ~ spl0_389
    | ~ spl0_67
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4804,f1276,f536,f5783,f5779]) ).

fof(f4804,plain,
    ( ~ member(null_class,successor_relation)
    | second(null_class) = complement(intersection(complement(first(null_class)),complement(unordered_pair(first(null_class),first(null_class)))))
    | ~ spl0_67
    | ~ spl0_148 ),
    inference(superposition,[],[f537,f1278]) ).

fof(f5773,plain,
    ( ~ spl0_387
    | ~ spl0_367
    | spl0_385 ),
    inference(avatar_split_clause,[],[f5768,f5760,f4931,f5770]) ).

fof(f5768,plain,
    ( ~ member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(null_class),domain_of(flip(cross_product(null_class,universal_class)))))))
    | ~ spl0_367
    | spl0_385 ),
    inference(forward_demodulation,[],[f5761,f4933]) ).

fof(f5767,plain,
    ( spl0_385
    | ~ spl0_386
    | ~ spl0_65
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2099,f688,f520,f5764,f5760]) ).

fof(f5764,plain,
    ( spl0_386
  <=> inductive(subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f688,plain,
    ( spl0_92
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2099,plain,
    ( ~ inductive(subset_relation)
    | member(null_class,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_65
    | ~ spl0_92 ),
    inference(superposition,[],[f689,f522]) ).

fof(f689,plain,
    ( ! [X0,X1] :
        ( ~ inductive(intersection(X1,X0))
        | member(null_class,X0) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f5758,plain,
    ( ~ spl0_384
    | spl0_198
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f5375,f4931,f1985,f5755]) ).

fof(f1985,plain,
    ( spl0_198
  <=> function(element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f5375,plain,
    ( ~ function(null_class)
    | spl0_198
    | ~ spl0_367 ),
    inference(superposition,[],[f1986,f4933]) ).

fof(f1986,plain,
    ( ~ function(element_relation)
    | spl0_198 ),
    inference(avatar_component_clause,[],[f1985]) ).

fof(f5753,plain,
    ( spl0_383
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1237,f1205,f339,f5751]) ).

fof(f5751,plain,
    ( spl0_383
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,identity_relation),subset_relation)
        | ~ member(not_subclass_element(X0,identity_relation),domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f1237,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,identity_relation),subset_relation)
        | ~ member(not_subclass_element(X0,identity_relation),domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(X0,identity_relation) )
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(superposition,[],[f1206,f341]) ).

fof(f5749,plain,
    ( spl0_382
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1235,f1205,f326,f5747]) ).

fof(f5747,plain,
    ( spl0_382
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(X1,null_class),regular(X0))
        | ~ member(not_subclass_element(X1,null_class),X0)
        | subclass(X1,null_class)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f1235,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X1,null_class),regular(X0))
        | ~ member(not_subclass_element(X1,null_class),X0)
        | subclass(X1,null_class)
        | null_class = X0 )
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(superposition,[],[f1206,f327]) ).

fof(f5745,plain,
    ( spl0_381
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1183,f1154,f848,f5743]) ).

fof(f5743,plain,
    ( spl0_381
  <=> ! [X2,X0,X1] :
        ( member(X2,X1)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f1183,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,X1)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 )
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1164]) ).

fof(f1164,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,X1)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(superposition,[],[f849,f1155]) ).

fof(f5741,plain,
    ( spl0_380
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1178,f1154,f848,f5739]) ).

fof(f5739,plain,
    ( spl0_380
  <=> ! [X2,X0,X1] :
        ( member(X2,X0)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f1178,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,X0)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1169]) ).

fof(f1169,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,X0)
        | ~ member(X2,null_class)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(superposition,[],[f849,f1155]) ).

fof(f5676,plain,
    ( spl0_379
    | ~ spl0_367
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f5672,f5669,f4931,f5674]) ).

fof(f5672,plain,
    ( ! [X2,X0,X1] :
        ( member(domain_of(intersection(null_class,cross_product(universal_class,X1))),X2)
        | ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2) )
    | ~ spl0_367
    | ~ spl0_378 ),
    inference(forward_demodulation,[],[f5670,f4933]) ).

fof(f5671,plain,
    ( spl0_378
    | ~ spl0_33
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1104,f1093,f318,f5669]) ).

fof(f1104,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ member(X1,universal_class)
        | ~ subclass(X0,X2)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X2) )
    | ~ spl0_33
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f319]) ).

fof(f5667,plain,
    ( ~ spl0_376
    | spl0_377
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1064,f1028,f711,f5665,f5661]) ).

fof(f5661,plain,
    ( spl0_376
  <=> subclass(universal_class,domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f5665,plain,
    ( spl0_377
  <=> ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),subset_relation)
        | member(unordered_pair(X0,X1),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f1064,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),subset_relation)
        | member(unordered_pair(X0,X1),identity_relation)
        | ~ subclass(universal_class,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(resolution,[],[f1029,f712]) ).

fof(f5659,plain,
    ( spl0_375
    | ~ spl0_94
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1049,f1024,f711,f5657]) ).

fof(f1049,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),null_class)
        | ~ member(unordered_pair(X0,X1),X2)
        | null_class = X2
        | ~ subclass(universal_class,regular(X2)) )
    | ~ spl0_94
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f712]) ).

fof(f5655,plain,
    ( ~ spl0_374
    | spl0_197
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f5374,f4931,f1981,f5652]) ).

fof(f1981,plain,
    ( spl0_197
  <=> single_valued_class(element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f5374,plain,
    ( ~ single_valued_class(null_class)
    | spl0_197
    | ~ spl0_367 ),
    inference(superposition,[],[f1983,f4933]) ).

fof(f1983,plain,
    ( ~ single_valued_class(element_relation)
    | spl0_197 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f5650,plain,
    ( spl0_373
    | ~ spl0_21
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1044,f1024,f257,f5648]) ).

fof(f5648,plain,
    ( spl0_373
  <=> ! [X0] :
        ( member(regular(regular(X0)),null_class)
        | ~ member(regular(regular(X0)),X0)
        | null_class = X0
        | null_class = regular(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( member(regular(regular(X0)),null_class)
        | ~ member(regular(regular(X0)),X0)
        | null_class = X0
        | null_class = regular(X0) )
    | ~ spl0_21
    | ~ spl0_124 ),
    inference(resolution,[],[f1025,f258]) ).

fof(f5644,plain,
    ( spl0_371
    | ~ spl0_372
    | ~ spl0_101
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f888,f852,f786,f5641,f5637]) ).

fof(f5641,plain,
    ( spl0_372
  <=> member(regular(complement(domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f888,plain,
    ( ~ member(regular(complement(domain_of(flip(cross_product(subset_relation,universal_class))))),identity_relation)
    | null_class = complement(domain_of(flip(cross_product(subset_relation,universal_class))))
    | ~ spl0_101
    | ~ spl0_112 ),
    inference(resolution,[],[f853,f787]) ).

fof(f5635,plain,
    ( spl0_370
    | ~ spl0_39
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f800,f786,f365,f5633]) ).

fof(f5633,plain,
    ( spl0_370
  <=> ! [X0] :
        ( null_class = complement(complement(X0))
        | member(regular(complement(complement(X0))),X0)
        | ~ member(regular(complement(complement(X0))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f800,plain,
    ( ! [X0] :
        ( null_class = complement(complement(X0))
        | member(regular(complement(complement(X0))),X0)
        | ~ member(regular(complement(complement(X0))),universal_class) )
    | ~ spl0_39
    | ~ spl0_101 ),
    inference(resolution,[],[f787,f366]) ).

fof(f5523,plain,
    ( spl0_369
    | ~ spl0_325
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f5519,f5516,f3977,f5521]) ).

fof(f5521,plain,
    ( spl0_369
  <=> ! [X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))))))
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f5516,plain,
    ( spl0_368
  <=> ! [X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))))))
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f5519,plain,
    ( ! [X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class)))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,null_class))))))
        | ~ member(X0,X1) )
    | ~ spl0_325
    | ~ spl0_368 ),
    inference(forward_demodulation,[],[f5517,f3979]) ).

fof(f5517,plain,
    ( ! [X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))))))
        | ~ member(X0,X1) )
    | ~ spl0_368 ),
    inference(avatar_component_clause,[],[f5516]) ).

fof(f5518,plain,
    ( spl0_368
    | ~ spl0_1
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1810,f1782,f170,f5516]) ).

fof(f1782,plain,
    ( spl0_182
  <=> ! [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,[spl0_182])]) ).

fof(f1810,plain,
    ( ! [X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u))))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(u,u)))))))
        | ~ member(X0,X1) )
    | ~ spl0_1
    | ~ spl0_182 ),
    inference(resolution,[],[f1783,f172]) ).

fof(f1783,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X1,X2)
        | 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(X0,X3) )
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1782]) ).

fof(f4934,plain,
    ( spl0_367
    | ~ spl0_230
    | spl0_360 ),
    inference(avatar_split_clause,[],[f4844,f4840,f2341,f4931]) ).

fof(f4844,plain,
    ( element_relation = null_class
    | ~ spl0_230
    | spl0_360 ),
    inference(resolution,[],[f4842,f2342]) ).

fof(f4842,plain,
    ( ~ member(null_class,element_relation)
    | spl0_360 ),
    inference(avatar_component_clause,[],[f4840]) ).

fof(f4897,plain,
    ( ~ spl0_9
    | spl0_365 ),
    inference(avatar_contradiction_clause,[],[f4895]) ).

fof(f4895,plain,
    ( $false
    | ~ spl0_9
    | spl0_365 ),
    inference(resolution,[],[f4889,f207]) ).

fof(f4889,plain,
    ( ~ member(unordered_pair(first(null_class),first(null_class)),universal_class)
    | spl0_365 ),
    inference(avatar_component_clause,[],[f4887]) ).

fof(f4887,plain,
    ( spl0_365
  <=> member(unordered_pair(first(null_class),first(null_class)),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f4894,plain,
    ( ~ spl0_365
    | spl0_366
    | ~ spl0_24
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4821,f1276,f272,f4891,f4887]) ).

fof(f4821,plain,
    ( member(unordered_pair(first(null_class),first(null_class)),null_class)
    | ~ member(unordered_pair(first(null_class),first(null_class)),universal_class)
    | ~ spl0_24
    | ~ spl0_148 ),
    inference(superposition,[],[f273,f1278]) ).

fof(f4879,plain,
    ( spl0_364
    | ~ spl0_66
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4803,f1276,f525,f4877]) ).

fof(f4877,plain,
    ( spl0_364
  <=> ! [X0,X1] :
        ( member(null_class,cross_product(X0,X1))
        | ~ member(second(null_class),X1)
        | ~ member(first(null_class),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f4803,plain,
    ( ! [X0,X1] :
        ( member(null_class,cross_product(X0,X1))
        | ~ member(second(null_class),X1)
        | ~ member(first(null_class),X0) )
    | ~ spl0_66
    | ~ spl0_148 ),
    inference(superposition,[],[f526,f1278]) ).

fof(f4871,plain,
    ( spl0_207
    | spl0_363
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2080,f1024,f220,f4869,f2052]) ).

fof(f4869,plain,
    ( spl0_363
  <=> ! [X0] :
        ( ~ inductive(regular(X0))
        | null_class = X0
        | ~ member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f2080,plain,
    ( ! [X0] :
        ( ~ inductive(regular(X0))
        | member(null_class,null_class)
        | ~ member(null_class,X0)
        | null_class = X0 )
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(resolution,[],[f221,f1025]) ).

fof(f4859,plain,
    ( spl0_207
    | ~ spl0_6
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f3273,f3132,f194,f2052]) ).

fof(f3273,plain,
    ( member(null_class,null_class)
    | ~ spl0_6
    | ~ spl0_285 ),
    inference(resolution,[],[f3133,f195]) ).

fof(f3133,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(null_class,X0) )
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f3132]) ).

fof(f4853,plain,
    ( spl0_362
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4802,f1276,f473,f4851]) ).

fof(f4802,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(first(null_class),X0) )
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(superposition,[],[f474,f1278]) ).

fof(f4849,plain,
    ( spl0_361
    | ~ spl0_56
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4801,f1276,f469,f4847]) ).

fof(f4801,plain,
    ( ! [X0,X1] :
        ( ~ member(null_class,cross_product(X0,X1))
        | member(second(null_class),X1) )
    | ~ spl0_56
    | ~ spl0_148 ),
    inference(superposition,[],[f470,f1278]) ).

fof(f4843,plain,
    ( spl0_359
    | ~ spl0_360
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4800,f1276,f456,f4840,f4836]) ).

fof(f4800,plain,
    ( ~ member(null_class,element_relation)
    | member(first(null_class),second(null_class))
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(superposition,[],[f457,f1278]) ).

fof(f4799,plain,
    ( spl0_148
    | ~ spl0_68
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2407,f1340,f540,f1276]) ).

fof(f2407,plain,
    ( 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))))
    | ~ spl0_68
    | ~ spl0_155 ),
    inference(resolution,[],[f1341,f541]) ).

fof(f4798,plain,
    ( spl0_358
    | ~ spl0_119
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1242,f1205,f966,f4796]) ).

fof(f4796,plain,
    ( spl0_358
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f1242,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X0)) )
    | ~ spl0_119
    | ~ spl0_139 ),
    inference(duplicate_literal_removal,[],[f1223]) ).

fof(f1223,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X0))
        | subclass(intersection(X0,X1),intersection(X2,X0)) )
    | ~ spl0_119
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f967]) ).

fof(f4790,plain,
    ( spl0_207
    | ~ spl0_27
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f4262,f4257,f284,f2052]) ).

fof(f4257,plain,
    ( spl0_340
  <=> member(null_class,intersection(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f4262,plain,
    ( member(null_class,null_class)
    | ~ spl0_27
    | ~ spl0_340 ),
    inference(resolution,[],[f4259,f285]) ).

fof(f4259,plain,
    ( member(null_class,intersection(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f4257]) ).

fof(f4789,plain,
    ( spl0_357
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1241,f1205,f970,f4787]) ).

fof(f4787,plain,
    ( spl0_357
  <=> ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X1)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f1241,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X1)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X1)) )
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(duplicate_literal_removal,[],[f1224]) ).

fof(f1224,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X1)),X2)
        | subclass(intersection(X0,X1),intersection(X2,X1))
        | subclass(intersection(X0,X1),intersection(X2,X1)) )
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f971]) ).

fof(f4785,plain,
    ( spl0_356
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1180,f1154,f257,f4783]) ).

fof(f4783,plain,
    ( spl0_356
  <=> ! [X0,X1] :
        ( member(X1,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f1180,plain,
    ( ! [X0,X1] :
        ( member(X1,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0 )
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1167]) ).

fof(f1167,plain,
    ( ! [X0,X1] :
        ( member(X1,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(superposition,[],[f258,f1155]) ).

fof(f4781,plain,
    ( spl0_355
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1175,f1154,f257,f4779]) ).

fof(f4779,plain,
    ( spl0_355
  <=> ! [X0,X1] :
        ( member(X0,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f1175,plain,
    ( ! [X0,X1] :
        ( member(X0,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1172]) ).

fof(f1172,plain,
    ( ! [X0,X1] :
        ( member(X0,unordered_pair(X0,X1))
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_135 ),
    inference(superposition,[],[f258,f1155]) ).

fof(f4777,plain,
    ( spl0_354
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1109,f1093,f284,f4775]) ).

fof(f4775,plain,
    ( spl0_354
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X2))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f1109,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X2))),X0) )
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f285]) ).

fof(f4773,plain,
    ( spl0_353
    | ~ spl0_28
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1108,f1093,f288,f4771]) ).

fof(f4771,plain,
    ( spl0_353
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X2))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f1108,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X2))),X1) )
    | ~ spl0_28
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f289]) ).

fof(f4769,plain,
    ( spl0_352
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1101,f1089,f339,f4767]) ).

fof(f4767,plain,
    ( spl0_352
  <=> ! [X0,X1] :
        ( ~ subclass(identity_relation,X0)
        | ~ member(X1,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X1,subset_relation)
        | member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f1101,plain,
    ( ! [X0,X1] :
        ( ~ subclass(identity_relation,X0)
        | ~ member(X1,domain_of(flip(cross_product(subset_relation,universal_class))))
        | ~ member(X1,subset_relation)
        | member(X1,X0) )
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(superposition,[],[f1090,f341]) ).

fof(f4762,plain,
    ( spl0_351
    | ~ spl0_325
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f4642,f4602,f3977,f4760]) ).

fof(f4760,plain,
    ( spl0_351
  <=> ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f4602,plain,
    ( spl0_341
  <=> ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f4642,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) )
    | ~ spl0_325
    | ~ spl0_341 ),
    inference(forward_demodulation,[],[f4603,f3979]) ).

fof(f4603,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) )
    | ~ spl0_341 ),
    inference(avatar_component_clause,[],[f4602]) ).

fof(f4753,plain,
    ( spl0_350
    | ~ spl0_36
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f4673,f3977,f330,f4750]) ).

fof(f4750,plain,
    ( spl0_350
  <=> member(null_class,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f4673,plain,
    ( member(null_class,intersection(complement(null_class),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_36
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f331,f3979]) ).

fof(f4641,plain,
    ( spl0_207
    | ~ spl0_240
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f4037,f3465,f2415,f2052]) ).

fof(f2415,plain,
    ( spl0_240
  <=> member(null_class,complement(unordered_pair(u,u))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f4037,plain,
    ( member(null_class,null_class)
    | ~ spl0_240
    | ~ spl0_303 ),
    inference(forward_demodulation,[],[f2417,f3467]) ).

fof(f3467,plain,
    ( null_class = complement(unordered_pair(u,u))
    | ~ spl0_303 ),
    inference(avatar_component_clause,[],[f3465]) ).

fof(f2417,plain,
    ( member(null_class,complement(unordered_pair(u,u)))
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f2415]) ).

fof(f4640,plain,
    ( spl0_349
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1099,f1089,f326,f4638]) ).

fof(f4638,plain,
    ( spl0_349
  <=> ! [X2,X0,X1] :
        ( ~ subclass(null_class,X1)
        | ~ member(X2,X0)
        | ~ member(X2,regular(X0))
        | member(X2,X1)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f1099,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(null_class,X1)
        | ~ member(X2,X0)
        | ~ member(X2,regular(X0))
        | member(X2,X1)
        | null_class = X0 )
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(superposition,[],[f1090,f327]) ).

fof(f4636,plain,
    ( spl0_348
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1003,f970,f284,f4634]) ).

fof(f1003,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,intersection(X1,X2)),X3)
        | member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X1) )
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f285]) ).

fof(f4632,plain,
    ( spl0_347
    | ~ spl0_28
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1002,f970,f288,f4630]) ).

fof(f1002,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,intersection(X1,X2)),X3)
        | member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X2) )
    | ~ spl0_28
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f289]) ).

fof(f4628,plain,
    ( spl0_346
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f986,f966,f284,f4626]) ).

fof(f986,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(intersection(X0,X1),X2),X3)
        | member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X0) )
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f285]) ).

fof(f4624,plain,
    ( spl0_345
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f985,f966,f288,f4622]) ).

fof(f985,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(intersection(X0,X1),X2),X3)
        | member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X1) )
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f289]) ).

fof(f4620,plain,
    ( spl0_344
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f885,f852,f268,f4618]) ).

fof(f4618,plain,
    ( spl0_344
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),identity_relation)
        | subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,domain_of(flip(cross_product(subset_relation,universal_class)))),identity_relation)
        | subclass(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(resolution,[],[f853,f269]) ).

fof(f4616,plain,
    ( spl0_343
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f870,f826,f382,f4614]) ).

fof(f870,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,unordered_pair(X1,X2))
        | null_class = X0
        | regular(X0) = X1
        | regular(X0) = X2 )
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f383]) ).

fof(f4609,plain,
    ( spl0_342
    | ~ spl0_303
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f4605,f4602,f3465,f4607]) ).

fof(f4607,plain,
    ( spl0_342
  <=> ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f4605,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(domain_of(X1),intersection(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) )
    | ~ spl0_303
    | ~ spl0_341 ),
    inference(forward_demodulation,[],[f4603,f3467]) ).

fof(f4604,plain,
    ( spl0_341
    | ~ spl0_90
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1588,f1572,f675,f4602]) ).

fof(f1588,plain,
    ( ! [X2,X0,X1] :
        ( ~ compatible(X0,X1,X2)
        | homomorphism(X0,X1,X2)
        | ~ operation(X1)
        | ~ subclass(domain_of(X1),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ operation(X2)
        | ~ member(unordered_pair(unordered_pair(not_homomorphism1(X0,X1,X2),not_homomorphism1(X0,X1,X2)),unordered_pair(not_homomorphism1(X0,X1,X2),unordered_pair(not_homomorphism2(X0,X1,X2),not_homomorphism2(X0,X1,X2)))),null_class) )
    | ~ spl0_90
    | ~ spl0_171 ),
    inference(resolution,[],[f1573,f676]) ).

fof(f4260,plain,
    ( spl0_340
    | ~ spl0_36
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f4255,f3465,f330,f4257]) ).

fof(f4255,plain,
    ( member(null_class,intersection(null_class,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_36
    | ~ spl0_303 ),
    inference(forward_demodulation,[],[f331,f3467]) ).

fof(f4186,plain,
    ( ~ spl0_207
    | spl0_323
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f4034,f3977,f3550,f2052]) ).

fof(f3550,plain,
    ( spl0_323
  <=> member(null_class,unordered_pair(u,u)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f4034,plain,
    ( ~ member(null_class,null_class)
    | spl0_323
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f3552,f3979]) ).

fof(f3552,plain,
    ( ~ member(null_class,unordered_pair(u,u))
    | spl0_323 ),
    inference(avatar_component_clause,[],[f3550]) ).

fof(f4054,plain,
    ( spl0_339
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1240,f1205,f899,f4052]) ).

fof(f1240,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2))
        | ~ subclass(X0,X2) )
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(duplicate_literal_removal,[],[f1225]) ).

fof(f1225,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2))
        | ~ subclass(X0,X2)
        | subclass(X0,intersection(X1,X2)) )
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f900]) ).

fof(f4050,plain,
    ( ~ spl0_337
    | spl0_338
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1148,f1135,f220,f4047,f4043]) ).

fof(f4043,plain,
    ( spl0_337
  <=> inductive(domain_of(regular(cross_product(unordered_pair(null_class,null_class),universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f4047,plain,
    ( spl0_338
  <=> null_class = cross_product(unordered_pair(null_class,null_class),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f1148,plain,
    ( null_class = cross_product(unordered_pair(null_class,null_class),universal_class)
    | ~ inductive(domain_of(regular(cross_product(unordered_pair(null_class,null_class),universal_class))))
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(resolution,[],[f1136,f221]) ).

fof(f4041,plain,
    ( spl0_336
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1111,f1093,f245,f4039]) ).

fof(f1111,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X0) )
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(resolution,[],[f1094,f246]) ).

fof(f4024,plain,
    ( ~ spl0_207
    | spl0_240
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f3983,f3465,f2415,f2052]) ).

fof(f3983,plain,
    ( ~ member(null_class,null_class)
    | spl0_240
    | ~ spl0_303 ),
    inference(forward_demodulation,[],[f2416,f3467]) ).

fof(f2416,plain,
    ( ~ member(null_class,complement(unordered_pair(u,u)))
    | spl0_240 ),
    inference(avatar_component_clause,[],[f2415]) ).

fof(f4023,plain,
    ( spl0_335
    | ~ spl0_20
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1098,f1089,f253,f4021]) ).

fof(f4021,plain,
    ( spl0_335
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(intersection(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f1098,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(intersection(X1,X2)) )
    | ~ spl0_20
    | ~ spl0_128 ),
    inference(resolution,[],[f1090,f254]) ).

fof(f4019,plain,
    ( spl0_334
    | ~ spl0_102
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1006,f970,f790,f4017]) ).

fof(f4017,plain,
    ( spl0_334
  <=> ! [X2,X0,X1] :
        ( subclass(intersection(X0,null_class),X1)
        | member(not_subclass_element(intersection(X0,null_class),X1),X2)
        | null_class = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f1006,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,null_class),X1)
        | member(not_subclass_element(intersection(X0,null_class),X1),X2)
        | null_class = X2 )
    | ~ spl0_102
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f791]) ).

fof(f4015,plain,
    ( spl0_333
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f999,f970,f318,f4013]) ).

fof(f4013,plain,
    ( spl0_333
  <=> ! [X0,X3,X2,X1] :
        ( subclass(intersection(X0,X1),X2)
        | ~ subclass(X1,X3)
        | member(not_subclass_element(intersection(X0,X1),X2),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f999,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,X1),X2)
        | ~ subclass(X1,X3)
        | member(not_subclass_element(intersection(X0,X1),X2),X3) )
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f319]) ).

fof(f4011,plain,
    ( spl0_332
    | ~ spl0_102
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f989,f966,f790,f4009]) ).

fof(f4009,plain,
    ( spl0_332
  <=> ! [X2,X0,X1] :
        ( subclass(intersection(null_class,X0),X1)
        | member(not_subclass_element(intersection(null_class,X0),X1),X2)
        | null_class = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f989,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(null_class,X0),X1)
        | member(not_subclass_element(intersection(null_class,X0),X1),X2)
        | null_class = X2 )
    | ~ spl0_102
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f791]) ).

fof(f4007,plain,
    ( spl0_331
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f982,f966,f318,f4005]) ).

fof(f982,plain,
    ( ! [X2,X3,X0,X1] :
        ( subclass(intersection(X0,X1),X2)
        | ~ subclass(X0,X3)
        | member(not_subclass_element(intersection(X0,X1),X2),X3) )
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f319]) ).

fof(f4003,plain,
    ( spl0_330
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f934,f895,f284,f4001]) ).

fof(f4001,plain,
    ( spl0_330
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | member(regular(intersection(X0,intersection(X1,X2))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f934,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | member(regular(intersection(X0,intersection(X1,X2))),X1) )
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f285]) ).

fof(f3999,plain,
    ( spl0_329
    | ~ spl0_28
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f933,f895,f288,f3997]) ).

fof(f3997,plain,
    ( spl0_329
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | member(regular(intersection(X0,intersection(X1,X2))),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f933,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,intersection(X1,X2))
        | member(regular(intersection(X0,intersection(X1,X2))),X2) )
    | ~ spl0_28
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f289]) ).

fof(f3995,plain,
    ( spl0_328
    | ~ spl0_27
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f919,f891,f284,f3993]) ).

fof(f3993,plain,
    ( spl0_328
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | member(regular(intersection(intersection(X0,X1),X2)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f919,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | member(regular(intersection(intersection(X0,X1),X2)),X0) )
    | ~ spl0_27
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f285]) ).

fof(f3991,plain,
    ( spl0_327
    | ~ spl0_28
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f918,f891,f288,f3989]) ).

fof(f3989,plain,
    ( spl0_327
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | member(regular(intersection(intersection(X0,X1),X2)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f918,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(intersection(X0,X1),X2)
        | member(regular(intersection(intersection(X0,X1),X2)),X1) )
    | ~ spl0_28
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f289]) ).

fof(f3987,plain,
    ( spl0_326
    | ~ spl0_105
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f882,f848,f822,f3985]) ).

fof(f3985,plain,
    ( spl0_326
  <=> ! [X0,X1] :
        ( ~ member(not_subclass_element(complement(regular(X0)),X1),null_class)
        | null_class = X0
        | subclass(complement(regular(X0)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f882,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(complement(regular(X0)),X1),null_class)
        | null_class = X0
        | subclass(complement(regular(X0)),X1) )
    | ~ spl0_105
    | ~ spl0_111 ),
    inference(resolution,[],[f849,f823]) ).

fof(f3980,plain,
    ( spl0_325
    | ~ spl0_230
    | spl0_323 ),
    inference(avatar_split_clause,[],[f3778,f3550,f2341,f3977]) ).

fof(f3778,plain,
    ( null_class = unordered_pair(u,u)
    | ~ spl0_230
    | spl0_323 ),
    inference(resolution,[],[f3552,f2342]) ).

fof(f3975,plain,
    ( spl0_324
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f739,f711,f382,f3973]) ).

fof(f3973,plain,
    ( spl0_324
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | unordered_pair(X2,X3) = X0
        | unordered_pair(X2,X3) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f739,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,unordered_pair(X0,X1))
        | unordered_pair(X2,X3) = X0
        | unordered_pair(X2,X3) = X1 )
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f383]) ).

fof(f3553,plain,
    ( ~ spl0_323
    | ~ spl0_18
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f3509,f2415,f245,f3550]) ).

fof(f3509,plain,
    ( ~ member(null_class,unordered_pair(u,u))
    | ~ spl0_18
    | ~ spl0_240 ),
    inference(resolution,[],[f2417,f246]) ).

fof(f3548,plain,
    ( spl0_322
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1564,f1544,f711,f3546]) ).

fof(f3546,plain,
    ( spl0_322
  <=> ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),X2)
        | ~ subclass(universal_class,X2)
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f1564,plain,
    ( ! [X2,X0,X1] :
        ( member(regular(cross_product(X0,X1)),X2)
        | ~ subclass(universal_class,X2)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(superposition,[],[f712,f1545]) ).

fof(f3544,plain,
    ( spl0_321
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1194,f1189,f288,f3542]) ).

fof(f3542,plain,
    ( spl0_321
  <=> ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f1194,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))) )
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(resolution,[],[f1190,f289]) ).

fof(f3540,plain,
    ( spl0_320
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1174,f1154,f3538]) ).

fof(f3538,plain,
    ( spl0_320
  <=> ! [X0,X1] :
        ( X0 != X1
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f1174,plain,
    ( ! [X0,X1] :
        ( X0 != X1
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_135 ),
    inference(equality_factoring,[],[f1155]) ).

fof(f3536,plain,
    ( spl0_319
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1173,f1154,f3534]) ).

fof(f3534,plain,
    ( spl0_319
  <=> ! [X0,X1] :
        ( X0 != X1
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f1173,plain,
    ( ! [X0,X1] :
        ( X0 != X1
        | regular(unordered_pair(X0,X1)) = X0
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_135 ),
    inference(equality_factoring,[],[f1155]) ).

fof(f3532,plain,
    ( spl0_318
    | ~ spl0_119
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1145,f1126,f966,f3530]) ).

fof(f3530,plain,
    ( spl0_318
  <=> ! [X0,X1] :
        ( member(not_subclass_element(intersection(universal_class,X0),complement(X1)),X1)
        | subclass(intersection(universal_class,X0),complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f1126,plain,
    ( spl0_132
  <=> ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | ~ member(not_subclass_element(X0,complement(X1)),universal_class)
        | subclass(X0,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1145,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(universal_class,X0),complement(X1)),X1)
        | subclass(intersection(universal_class,X0),complement(X1)) )
    | ~ spl0_119
    | ~ spl0_132 ),
    inference(duplicate_literal_removal,[],[f1139]) ).

fof(f1139,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(universal_class,X0),complement(X1)),X1)
        | subclass(intersection(universal_class,X0),complement(X1))
        | subclass(intersection(universal_class,X0),complement(X1)) )
    | ~ spl0_119
    | ~ spl0_132 ),
    inference(resolution,[],[f1127,f967]) ).

fof(f1127,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
        | member(not_subclass_element(X0,complement(X1)),X1)
        | subclass(X0,complement(X1)) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f3528,plain,
    ( spl0_317
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1144,f1126,f970,f3526]) ).

fof(f3526,plain,
    ( spl0_317
  <=> ! [X0,X1] :
        ( member(not_subclass_element(intersection(X0,universal_class),complement(X1)),X1)
        | subclass(intersection(X0,universal_class),complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f1144,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(X0,universal_class),complement(X1)),X1)
        | subclass(intersection(X0,universal_class),complement(X1)) )
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(duplicate_literal_removal,[],[f1140]) ).

fof(f1140,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(intersection(X0,universal_class),complement(X1)),X1)
        | subclass(intersection(X0,universal_class),complement(X1))
        | subclass(intersection(X0,universal_class),complement(X1)) )
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(resolution,[],[f1127,f971]) ).

fof(f3524,plain,
    ( spl0_316
    | ~ spl0_20
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1037,f1020,f253,f3522]) ).

fof(f3522,plain,
    ( spl0_316
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,X1)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f1020,plain,
    ( spl0_123
  <=> ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(complement(X1),X2)
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1037,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,X1)
        | member(X0,cross_product(universal_class,universal_class))
        | ~ function(complement(X1)) )
    | ~ spl0_20
    | ~ spl0_123 ),
    inference(resolution,[],[f1021,f254]) ).

fof(f1021,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(complement(X1),X2)
        | ~ member(X0,universal_class)
        | member(X0,X1)
        | member(X0,X2) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f3520,plain,
    ( spl0_315
    | ~ spl0_18
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1005,f970,f245,f3518]) ).

fof(f3518,plain,
    ( spl0_315
  <=> ! [X2,X0,X1] :
        ( subclass(intersection(X0,complement(X1)),X2)
        | ~ member(not_subclass_element(intersection(X0,complement(X1)),X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f1005,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,complement(X1)),X2)
        | ~ member(not_subclass_element(intersection(X0,complement(X1)),X2),X1) )
    | ~ spl0_18
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f246]) ).

fof(f3516,plain,
    ( spl0_314
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f988,f966,f245,f3514]) ).

fof(f3514,plain,
    ( spl0_314
  <=> ! [X2,X0,X1] :
        ( subclass(intersection(complement(X0),X1),X2)
        | ~ member(not_subclass_element(intersection(complement(X0),X1),X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f988,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(complement(X0),X1),X2)
        | ~ member(not_subclass_element(intersection(complement(X0),X1),X2),X0) )
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f246]) ).

fof(f3508,plain,
    ( spl0_313
    | ~ spl0_102
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f954,f899,f790,f3506]) ).

fof(f3506,plain,
    ( spl0_313
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,null_class)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),X2)
        | null_class = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f954,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,null_class)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),X2)
        | null_class = X2 )
    | ~ spl0_102
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f791]) ).

fof(f3504,plain,
    ( spl0_312
    | ~ spl0_33
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f947,f899,f318,f3502]) ).

fof(f3502,plain,
    ( spl0_312
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,X1)
        | subclass(X0,X2)
        | ~ subclass(X1,X3)
        | member(not_subclass_element(X0,X2),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f947,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,X1)
        | subclass(X0,X2)
        | ~ subclass(X1,X3)
        | member(not_subclass_element(X0,X2),X3) )
    | ~ spl0_33
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f319]) ).

fof(f3500,plain,
    ( spl0_311
    | ~ spl0_102
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f937,f895,f790,f3498]) ).

fof(f3498,plain,
    ( spl0_311
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,null_class)
        | member(regular(intersection(X0,null_class)),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f937,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,null_class)
        | member(regular(intersection(X0,null_class)),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f791]) ).

fof(f3496,plain,
    ( spl0_310
    | ~ spl0_33
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f930,f895,f318,f3494]) ).

fof(f3494,plain,
    ( spl0_310
  <=> ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ subclass(X1,X2)
        | member(regular(intersection(X0,X1)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f930,plain,
    ( ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ subclass(X1,X2)
        | member(regular(intersection(X0,X1)),X2) )
    | ~ spl0_33
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f319]) ).

fof(f3492,plain,
    ( spl0_309
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f922,f891,f790,f3490]) ).

fof(f3490,plain,
    ( spl0_309
  <=> ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | member(regular(intersection(null_class,X0)),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f922,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | member(regular(intersection(null_class,X0)),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f791]) ).

fof(f3488,plain,
    ( spl0_308
    | ~ spl0_33
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f915,f891,f318,f3486]) ).

fof(f3486,plain,
    ( spl0_308
  <=> ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ subclass(X0,X2)
        | member(regular(intersection(X0,X1)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f915,plain,
    ( ! [X2,X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ subclass(X0,X2)
        | member(regular(intersection(X0,X1)),X2) )
    | ~ spl0_33
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f319]) ).

fof(f3484,plain,
    ( spl0_307
    | ~ spl0_101
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f883,f848,f786,f3482]) ).

fof(f3482,plain,
    ( spl0_307
  <=> ! [X0] :
        ( ~ member(regular(complement(regular(X0))),null_class)
        | null_class = X0
        | null_class = complement(regular(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ member(regular(complement(regular(X0))),null_class)
        | null_class = X0
        | null_class = complement(regular(X0)) )
    | ~ spl0_101
    | ~ spl0_111 ),
    inference(resolution,[],[f849,f787]) ).

fof(f3480,plain,
    ( spl0_306
    | ~ spl0_97
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f859,f822,f723,f3478]) ).

fof(f3478,plain,
    ( spl0_306
  <=> ! [X0] :
        ( subclass(complement(cross_product(universal_class,universal_class)),X0)
        | ~ member(not_subclass_element(complement(cross_product(universal_class,universal_class)),X0),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f859,plain,
    ( ! [X0] :
        ( subclass(complement(cross_product(universal_class,universal_class)),X0)
        | ~ member(not_subclass_element(complement(cross_product(universal_class,universal_class)),X0),subset_relation) )
    | ~ spl0_97
    | ~ spl0_105 ),
    inference(resolution,[],[f823,f724]) ).

fof(f3476,plain,
    ( spl0_305
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f773,f723,f469,f3474]) ).

fof(f773,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X1,universal_class) )
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f470]) ).

fof(f3472,plain,
    ( spl0_304
    | ~ spl0_57
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f772,f723,f473,f3470]) ).

fof(f772,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),subset_relation)
        | member(X0,universal_class) )
    | ~ spl0_57
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f474]) ).

fof(f3468,plain,
    ( spl0_303
    | ~ spl0_230
    | spl0_240 ),
    inference(avatar_split_clause,[],[f3172,f2415,f2341,f3465]) ).

fof(f3172,plain,
    ( null_class = complement(unordered_pair(u,u))
    | ~ spl0_230
    | spl0_240 ),
    inference(resolution,[],[f2342,f2416]) ).

fof(f3463,plain,
    ( spl0_302
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f751,f715,f440,f3461]) ).

fof(f3461,plain,
    ( spl0_302
  <=> ! [X0] :
        ( member(null_class,domain_of(domain_of(X0)))
        | ~ inductive(domain_of(domain_of(flip(cross_product(X0,universal_class)))))
        | ~ operation(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f751,plain,
    ( ! [X0] :
        ( member(null_class,domain_of(domain_of(X0)))
        | ~ inductive(domain_of(domain_of(flip(cross_product(X0,universal_class)))))
        | ~ operation(X0) )
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f441]) ).

fof(f3254,plain,
    ( spl0_301
    | ~ spl0_116
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1143,f1126,f899,f3252]) ).

fof(f1143,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | subclass(X0,complement(X1))
        | ~ subclass(X0,universal_class) )
    | ~ spl0_116
    | ~ spl0_132 ),
    inference(duplicate_literal_removal,[],[f1141]) ).

fof(f1141,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | subclass(X0,complement(X1))
        | ~ subclass(X0,universal_class)
        | subclass(X0,complement(X1)) )
    | ~ spl0_116
    | ~ spl0_132 ),
    inference(resolution,[],[f1127,f900]) ).

fof(f3250,plain,
    ( spl0_300
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f951,f899,f284,f3248]) ).

fof(f951,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | subclass(X0,X3)
        | member(not_subclass_element(X0,X3),X1) )
    | ~ spl0_27
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f285]) ).

fof(f3246,plain,
    ( spl0_299
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f950,f899,f288,f3244]) ).

fof(f3244,plain,
    ( spl0_299
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | subclass(X0,X3)
        | member(not_subclass_element(X0,X3),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f950,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | subclass(X0,X3)
        | member(not_subclass_element(X0,X3),X2) )
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f289]) ).

fof(f3242,plain,
    ( spl0_298
    | ~ spl0_18
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f936,f895,f245,f3240]) ).

fof(f3240,plain,
    ( spl0_298
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,complement(X1))
        | ~ member(regular(intersection(X0,complement(X1))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f936,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,complement(X1))
        | ~ member(regular(intersection(X0,complement(X1))),X1) )
    | ~ spl0_18
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f246]) ).

fof(f3238,plain,
    ( spl0_297
    | ~ spl0_18
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f921,f891,f245,f3236]) ).

fof(f3236,plain,
    ( spl0_297
  <=> ! [X0,X1] :
        ( null_class = intersection(complement(X0),X1)
        | ~ member(regular(intersection(complement(X0),X1)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f921,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(complement(X0),X1)
        | ~ member(regular(intersection(complement(X0),X1)),X0) )
    | ~ spl0_18
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f246]) ).

fof(f3234,plain,
    ( spl0_296
    | ~ spl0_33
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f884,f852,f318,f3232]) ).

fof(f3232,plain,
    ( spl0_296
  <=> ! [X0,X1] :
        ( ~ member(X0,identity_relation)
        | ~ subclass(domain_of(flip(cross_product(subset_relation,universal_class))),X1)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f884,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,identity_relation)
        | ~ subclass(domain_of(flip(cross_product(subset_relation,universal_class))),X1)
        | member(X0,X1) )
    | ~ spl0_33
    | ~ spl0_112 ),
    inference(resolution,[],[f853,f319]) ).

fof(f3230,plain,
    ( spl0_295
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f881,f848,f268,f3228]) ).

fof(f881,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,regular(X1)),null_class)
        | null_class = X1
        | subclass(X0,regular(X1)) )
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(resolution,[],[f849,f269]) ).

fof(f3226,plain,
    ( spl0_294
    | spl0_196
    | ~ spl0_230
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3222,f3218,f2341,f1975,f3224]) ).

fof(f3218,plain,
    ( spl0_293
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,null_class)
        | null_class = X1
        | ~ subclass(regular(X1),X2)
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f3222,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = X1
        | ~ member(X0,subset_relation)
        | ~ subclass(regular(X1),X2)
        | member(X0,X2) )
    | spl0_196
    | ~ spl0_230
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f3221,f3173]) ).

fof(f3221,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,subset_relation)
        | null_class = X1
        | ~ subclass(regular(X1),X2)
        | member(X0,X2) )
    | spl0_196
    | ~ spl0_230
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f3219,f3173]) ).

fof(f3219,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(regular(X1),X2)
        | null_class = X1
        | ~ member(X0,null_class)
        | member(X0,X2) )
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f3218]) ).

fof(f3220,plain,
    ( spl0_293
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f880,f848,f318,f3218]) ).

fof(f880,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,null_class)
        | null_class = X1
        | ~ subclass(regular(X1),X2)
        | member(X0,X2) )
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(resolution,[],[f849,f319]) ).

fof(f3170,plain,
    ( spl0_292
    | ~ spl0_102
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f876,f826,f790,f3168]) ).

fof(f3168,plain,
    ( spl0_292
  <=> ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | null_class = X0
        | member(regular(X0),X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f876,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | null_class = X0
        | member(regular(X0),X1)
        | null_class = X1 )
    | ~ spl0_102
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f791]) ).

fof(f3166,plain,
    ( spl0_291
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f869,f826,f318,f3164]) ).

fof(f3164,plain,
    ( spl0_291
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | null_class = X0
        | ~ subclass(X1,X2)
        | member(regular(X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f869,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | null_class = X0
        | ~ subclass(X1,X2)
        | member(regular(X0),X2) )
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f319]) ).

fof(f3160,plain,
    ( ~ spl0_289
    | spl0_290
    | ~ spl0_97
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f797,f786,f723,f3157,f3153]) ).

fof(f3153,plain,
    ( spl0_289
  <=> member(regular(complement(cross_product(universal_class,universal_class))),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f797,plain,
    ( null_class = complement(cross_product(universal_class,universal_class))
    | ~ member(regular(complement(cross_product(universal_class,universal_class))),subset_relation)
    | ~ spl0_97
    | ~ spl0_101 ),
    inference(resolution,[],[f787,f724]) ).

fof(f3147,plain,
    ( spl0_288
    | spl0_287
    | ~ spl0_45
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f759,f715,f394,f3139,f3145]) ).

fof(f3145,plain,
    ( spl0_288
  <=> ! [X0] :
        ( ~ inductive(compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | ~ single_valued_class(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f394,plain,
    ( spl0_45
  <=> ! [X0] :
        ( ~ single_valued_class(X0)
        | subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f759,plain,
    ( ! [X0] :
        ( member(null_class,identity_relation)
        | ~ inductive(compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | ~ single_valued_class(X0) )
    | ~ spl0_45
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f395]) ).

fof(f395,plain,
    ( ! [X0] :
        ( subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
        | ~ single_valued_class(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f3142,plain,
    ( spl0_286
    | spl0_287
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f758,f715,f398,f3139,f3136]) ).

fof(f3136,plain,
    ( spl0_286
  <=> ! [X0] :
        ( ~ inductive(compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f398,plain,
    ( spl0_46
  <=> ! [X8] :
        ( ~ function(X8)
        | subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f758,plain,
    ( ! [X0] :
        ( member(null_class,identity_relation)
        | ~ inductive(compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | ~ function(X0) )
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f399]) ).

fof(f399,plain,
    ( ! [X8] :
        ( subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation)
        | ~ function(X8) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f3134,plain,
    ( spl0_285
    | ~ spl0_33
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f2159,f2052,f318,f3132]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(null_class,X0) )
    | ~ spl0_33
    | ~ spl0_207 ),
    inference(resolution,[],[f2054,f319]) ).

fof(f2054,plain,
    ( member(null_class,null_class)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f2052]) ).

fof(f3117,plain,
    ( spl0_284
    | ~ spl0_90
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1004,f970,f675,f3115]) ).

fof(f3115,plain,
    ( spl0_284
  <=> ! [X0,X1] :
        ( subclass(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),X1)
        | ~ member(not_subclass_element(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),X1),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1004,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),X1)
        | ~ member(not_subclass_element(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),X1),null_class) )
    | ~ spl0_90
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f676]) ).

fof(f3113,plain,
    ( spl0_283
    | ~ spl0_90
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f987,f966,f675,f3111]) ).

fof(f3111,plain,
    ( spl0_283
  <=> ! [X0,X1] :
        ( subclass(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),X1)
        | ~ member(not_subclass_element(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),X1),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f987,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),X1)
        | ~ member(not_subclass_element(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),X1),null_class) )
    | ~ spl0_90
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f676]) ).

fof(f3098,plain,
    ( spl0_282
    | ~ spl0_90
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f935,f895,f675,f3096]) ).

fof(f3096,plain,
    ( spl0_282
  <=> ! [X0] :
        ( null_class = intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(regular(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f935,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(regular(intersection(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),null_class) )
    | ~ spl0_90
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f676]) ).

fof(f3094,plain,
    ( spl0_281
    | ~ spl0_90
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f920,f891,f675,f3092]) ).

fof(f3092,plain,
    ( spl0_281
  <=> ! [X0] :
        ( null_class = intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(regular(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f920,plain,
    ( ! [X0] :
        ( null_class = intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)
        | ~ member(regular(intersection(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0)),null_class) )
    | ~ spl0_90
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f676]) ).

fof(f2943,plain,
    ( spl0_280
    | ~ spl0_6
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1251,f1213,f194,f2941]) ).

fof(f2941,plain,
    ( spl0_280
  <=> ! [X0] :
        ( ~ function(domain_of(X0))
        | compatible(domain_of(X0),X0,flip(cross_product(domain_of(X0),universal_class))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f1213,plain,
    ( spl0_141
  <=> ! [X0,X1] :
        ( compatible(domain_of(X0),X0,X1)
        | ~ function(domain_of(X0))
        | ~ subclass(domain_of(domain_of(flip(cross_product(domain_of(X0),universal_class)))),domain_of(domain_of(X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1251,plain,
    ( ! [X0] :
        ( ~ function(domain_of(X0))
        | compatible(domain_of(X0),X0,flip(cross_product(domain_of(X0),universal_class))) )
    | ~ spl0_6
    | ~ spl0_141 ),
    inference(resolution,[],[f1214,f195]) ).

fof(f1214,plain,
    ( ! [X0,X1] :
        ( ~ subclass(domain_of(domain_of(flip(cross_product(domain_of(X0),universal_class)))),domain_of(domain_of(X1)))
        | ~ function(domain_of(X0))
        | compatible(domain_of(X0),X0,X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f2939,plain,
    ( spl0_279
    | ~ spl0_51
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1250,f1213,f440,f2937]) ).

fof(f2937,plain,
    ( spl0_279
  <=> ! [X0] :
        ( ~ function(domain_of(X0))
        | compatible(domain_of(X0),X0,domain_of(X0))
        | ~ operation(domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f1250,plain,
    ( ! [X0] :
        ( ~ function(domain_of(X0))
        | compatible(domain_of(X0),X0,domain_of(X0))
        | ~ operation(domain_of(X0)) )
    | ~ spl0_51
    | ~ spl0_141 ),
    inference(resolution,[],[f1214,f441]) ).

fof(f2935,plain,
    ( spl0_278
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1243,f1205,f264,f2933]) ).

fof(f1243,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
        | subclass(X0,intersection(X1,X0)) )
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(duplicate_literal_removal,[],[f1222]) ).

fof(f1222,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
        | subclass(X0,intersection(X1,X0))
        | subclass(X0,intersection(X1,X0)) )
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(resolution,[],[f1206,f265]) ).

fof(f2931,plain,
    ( spl0_277
    | ~ spl0_89
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1008,f970,f661,f2929]) ).

fof(f1008,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,identity_relation),X1)
        | member(not_subclass_element(intersection(X0,identity_relation),X1),subset_relation) )
    | ~ spl0_89
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f662]) ).

fof(f2927,plain,
    ( spl0_276
    | ~ spl0_38
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f994,f966,f339,f2925]) ).

fof(f2925,plain,
    ( spl0_276
  <=> ! [X0] :
        ( member(not_subclass_element(identity_relation,X0),domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(identity_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f994,plain,
    ( ! [X0] :
        ( member(not_subclass_element(identity_relation,X0),domain_of(flip(cross_product(subset_relation,universal_class))))
        | subclass(identity_relation,X0) )
    | ~ spl0_38
    | ~ spl0_119 ),
    inference(superposition,[],[f967,f341]) ).

fof(f2923,plain,
    ( spl0_275
    | ~ spl0_89
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f991,f966,f661,f2921]) ).

fof(f991,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(identity_relation,X0),X1)
        | member(not_subclass_element(intersection(identity_relation,X0),X1),subset_relation) )
    | ~ spl0_89
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f662]) ).

fof(f2919,plain,
    ( spl0_274
    | ~ spl0_20
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f964,f912,f253,f2917]) ).

fof(f2917,plain,
    ( spl0_274
  <=> ! [X0,X1] :
        ( member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,universal_class)
        | ~ function(unordered_pair(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f964,plain,
    ( ! [X0,X1] :
        ( member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,universal_class)
        | ~ function(unordered_pair(X1,X0)) )
    | ~ spl0_20
    | ~ spl0_118 ),
    inference(resolution,[],[f913,f254]) ).

fof(f2915,plain,
    ( spl0_273
    | ~ spl0_20
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f961,f908,f253,f2913]) ).

fof(f2913,plain,
    ( spl0_273
  <=> ! [X0,X1] :
        ( member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,universal_class)
        | ~ function(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f961,plain,
    ( ! [X0,X1] :
        ( member(X0,cross_product(universal_class,universal_class))
        | ~ member(X0,universal_class)
        | ~ function(unordered_pair(X0,X1)) )
    | ~ spl0_20
    | ~ spl0_117 ),
    inference(resolution,[],[f909,f254]) ).

fof(f2911,plain,
    ( spl0_272
    | ~ spl0_18
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f953,f899,f245,f2909]) ).

fof(f2909,plain,
    ( spl0_272
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | subclass(X0,X2)
        | ~ member(not_subclass_element(X0,X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f953,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | subclass(X0,X2)
        | ~ member(not_subclass_element(X0,X2),X1) )
    | ~ spl0_18
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f246]) ).

fof(f2907,plain,
    ( spl0_271
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f873,f826,f284,f2905]) ).

fof(f873,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | member(regular(X0),X1) )
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f285]) ).

fof(f2903,plain,
    ( spl0_270
    | ~ spl0_28
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f872,f826,f288,f2901]) ).

fof(f2901,plain,
    ( spl0_270
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | member(regular(X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f872,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,intersection(X1,X2))
        | null_class = X0
        | member(regular(X0),X2) )
    | ~ spl0_28
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f289]) ).

fof(f2899,plain,
    ( spl0_269
    | ~ spl0_23
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f770,f723,f268,f2897]) ).

fof(f2897,plain,
    ( spl0_269
  <=> ! [X0] :
        ( ~ member(not_subclass_element(X0,cross_product(universal_class,universal_class)),subset_relation)
        | subclass(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f770,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,cross_product(universal_class,universal_class)),subset_relation)
        | subclass(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_23
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f269]) ).

fof(f2886,plain,
    ( spl0_268
    | ~ spl0_90
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1460,f1451,f675,f2884]) ).

fof(f2884,plain,
    ( spl0_268
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f1460,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,universal_class)
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),null_class) )
    | ~ spl0_90
    | ~ spl0_165 ),
    inference(resolution,[],[f1452,f676]) ).

fof(f2882,plain,
    ( spl0_267
    | ~ spl0_22
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f679,f675,f264,f2880]) ).

fof(f2880,plain,
    ( spl0_267
  <=> ! [X0] :
        ( ~ member(not_subclass_element(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),null_class)
        | subclass(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f679,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0),null_class)
        | subclass(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X0) )
    | ~ spl0_22
    | ~ spl0_90 ),
    inference(resolution,[],[f676,f265]) ).

fof(f2877,plain,
    ( spl0_265
    | ~ spl0_266
    | ~ spl0_21
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f682,f675,f257,f2874,f2870]) ).

fof(f2870,plain,
    ( spl0_265
  <=> null_class = intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f2874,plain,
    ( spl0_266
  <=> member(regular(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f682,plain,
    ( ~ member(regular(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),null_class)
    | null_class = intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
    | ~ spl0_21
    | ~ spl0_90 ),
    inference(resolution,[],[f676,f258]) ).

fof(f2861,plain,
    ( spl0_264
    | ~ spl0_89
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2751,f2238,f661,f2858]) ).

fof(f2751,plain,
    ( member(identity_relation,subset_relation)
    | ~ spl0_89
    | ~ spl0_217 ),
    inference(resolution,[],[f2240,f662]) ).

fof(f2240,plain,
    ( member(identity_relation,identity_relation)
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f2238]) ).

fof(f2835,plain,
    ( spl0_263
    | ~ spl0_215
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f2746,f2743,f2205,f2833]) ).

fof(f2833,plain,
    ( spl0_263
  <=> ! [X0] :
        ( identity_relation = intersection(X0,identity_relation)
        | member(regular(intersection(X0,identity_relation)),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f2743,plain,
    ( spl0_260
  <=> ! [X0] :
        ( null_class = intersection(X0,identity_relation)
        | member(regular(intersection(X0,identity_relation)),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f2746,plain,
    ( ! [X0] :
        ( identity_relation = intersection(X0,identity_relation)
        | member(regular(intersection(X0,identity_relation)),subset_relation) )
    | ~ spl0_215
    | ~ spl0_260 ),
    inference(forward_demodulation,[],[f2744,f2207]) ).

fof(f2744,plain,
    ( ! [X0] :
        ( member(regular(intersection(X0,identity_relation)),subset_relation)
        | null_class = intersection(X0,identity_relation) )
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f2743]) ).

fof(f2758,plain,
    ( spl0_262
    | ~ spl0_9
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1560,f1544,f206,f2756]) ).

fof(f1560,plain,
    ( ! [X0,X1] :
        ( member(regular(cross_product(X0,X1)),universal_class)
        | cross_product(X0,X1) = null_class )
    | ~ spl0_9
    | ~ spl0_170 ),
    inference(superposition,[],[f207,f1545]) ).

fof(f2750,plain,
    ( spl0_261
    | ~ spl0_89
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f956,f899,f661,f2748]) ).

fof(f956,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,identity_relation)
        | subclass(X0,X1)
        | member(not_subclass_element(X0,X1),subset_relation) )
    | ~ spl0_89
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f662]) ).

fof(f2745,plain,
    ( spl0_260
    | ~ spl0_89
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f939,f895,f661,f2743]) ).

fof(f939,plain,
    ( ! [X0] :
        ( null_class = intersection(X0,identity_relation)
        | member(regular(intersection(X0,identity_relation)),subset_relation) )
    | ~ spl0_89
    | ~ spl0_115 ),
    inference(resolution,[],[f896,f662]) ).

fof(f2707,plain,
    ( spl0_215
    | spl0_259
    | ~ spl0_38
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f927,f891,f339,f2704,f2205]) ).

fof(f2704,plain,
    ( spl0_259
  <=> member(regular(identity_relation),domain_of(flip(cross_product(subset_relation,universal_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f927,plain,
    ( member(regular(identity_relation),domain_of(flip(cross_product(subset_relation,universal_class))))
    | null_class = identity_relation
    | ~ spl0_38
    | ~ spl0_114 ),
    inference(superposition,[],[f892,f341]) ).

fof(f2702,plain,
    ( spl0_258
    | ~ spl0_89
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f924,f891,f661,f2700]) ).

fof(f2700,plain,
    ( spl0_258
  <=> ! [X0] :
        ( null_class = intersection(identity_relation,X0)
        | member(regular(intersection(identity_relation,X0)),subset_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f924,plain,
    ( ! [X0] :
        ( null_class = intersection(identity_relation,X0)
        | member(regular(intersection(identity_relation,X0)),subset_relation) )
    | ~ spl0_89
    | ~ spl0_114 ),
    inference(resolution,[],[f892,f662]) ).

fof(f2698,plain,
    ( spl0_257
    | ~ spl0_18
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f875,f826,f245,f2696]) ).

fof(f875,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | null_class = X0
        | ~ member(regular(X0),X1) )
    | ~ spl0_18
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f246]) ).

fof(f2694,plain,
    ( spl0_256
    | ~ spl0_33
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f769,f723,f318,f2692]) ).

fof(f2692,plain,
    ( spl0_256
  <=> ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ subclass(cross_product(universal_class,universal_class),X1)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f769,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,subset_relation)
        | ~ subclass(cross_product(universal_class,universal_class),X1)
        | member(X0,X1) )
    | ~ spl0_33
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f319]) ).

fof(f2690,plain,
    ( spl0_255
    | ~ spl0_33
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f738,f711,f318,f2688]) ).

fof(f2688,plain,
    ( spl0_255
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1)
        | member(unordered_pair(X2,X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f738,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | ~ subclass(X0,X1)
        | member(unordered_pair(X2,X3),X1) )
    | ~ spl0_33
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f319]) ).

fof(f2661,plain,
    ( ~ spl0_254
    | ~ spl0_12
    | spl0_240 ),
    inference(avatar_split_clause,[],[f2609,f2415,f220,f2658]) ).

fof(f2609,plain,
    ( ~ inductive(complement(unordered_pair(u,u)))
    | ~ spl0_12
    | spl0_240 ),
    inference(resolution,[],[f2416,f221]) ).

fof(f2629,plain,
    ( spl0_253
    | ~ spl0_22
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1146,f1126,f264,f2627]) ).

fof(f1146,plain,
    ( ! [X0] :
        ( member(not_subclass_element(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0)) )
    | ~ spl0_22
    | ~ spl0_132 ),
    inference(duplicate_literal_removal,[],[f1138]) ).

fof(f1138,plain,
    ( ! [X0] :
        ( member(not_subclass_element(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0))
        | subclass(universal_class,complement(X0)) )
    | ~ spl0_22
    | ~ spl0_132 ),
    inference(resolution,[],[f1127,f265]) ).

fof(f2625,plain,
    ( spl0_252
    | ~ spl0_65
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f996,f966,f520,f2623]) ).

fof(f2623,plain,
    ( spl0_252
  <=> ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),cross_product(universal_class,universal_class))
        | subclass(subset_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f996,plain,
    ( ! [X0] :
        ( member(not_subclass_element(subset_relation,X0),cross_product(universal_class,universal_class))
        | subclass(subset_relation,X0) )
    | ~ spl0_65
    | ~ spl0_119 ),
    inference(superposition,[],[f967,f522]) ).

fof(f2621,plain,
    ( spl0_251
    | ~ spl0_89
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f878,f826,f661,f2619]) ).

fof(f878,plain,
    ( ! [X0] :
        ( ~ subclass(X0,identity_relation)
        | null_class = X0
        | member(regular(X0),subset_relation) )
    | ~ spl0_89
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f662]) ).

fof(f2606,plain,
    ( spl0_249
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f2605,f2591,f2438,f2597]) ).

fof(f2597,plain,
    ( spl0_249
  <=> member(subset_relation,cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2605,plain,
    ( member(subset_relation,cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(forward_demodulation,[],[f2593,f2440]) ).

fof(f2604,plain,
    ( spl0_250
    | spl0_248
    | ~ spl0_30
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f754,f715,f296,f2591,f2602]) ).

fof(f2602,plain,
    ( spl0_250
  <=> ! [X0] : ~ inductive(flip(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f296,plain,
    ( spl0_30
  <=> ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f754,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ inductive(flip(X0)) )
    | ~ spl0_30
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f297]) ).

fof(f297,plain,
    ( ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f2600,plain,
    ( ~ spl0_249
    | ~ spl0_242
    | spl0_248 ),
    inference(avatar_split_clause,[],[f2595,f2591,f2438,f2597]) ).

fof(f2595,plain,
    ( ~ member(subset_relation,cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_242
    | spl0_248 ),
    inference(forward_demodulation,[],[f2592,f2440]) ).

fof(f2594,plain,
    ( spl0_247
    | spl0_248
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f753,f715,f292,f2591,f2588]) ).

fof(f2588,plain,
    ( spl0_247
  <=> ! [X0] : ~ inductive(rotate(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f292,plain,
    ( spl0_29
  <=> ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f753,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ inductive(rotate(X0)) )
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f293]) ).

fof(f293,plain,
    ( ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f2586,plain,
    ( spl0_246
    | ~ spl0_27
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f742,f711,f284,f2584]) ).

fof(f2584,plain,
    ( spl0_246
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f742,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X0) )
    | ~ spl0_27
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f285]) ).

fof(f2582,plain,
    ( spl0_245
    | ~ spl0_28
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f741,f711,f288,f2580]) ).

fof(f2580,plain,
    ( spl0_245
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f741,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X1) )
    | ~ spl0_28
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f289]) ).

fof(f2477,plain,
    ( spl0_244
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1096,f1089,f185,f2475]) ).

fof(f1096,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,universal_class) )
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f1090,f186]) ).

fof(f2445,plain,
    ( spl0_242
    | spl0_243
    | ~ spl0_65
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f929,f891,f520,f2442,f2438]) ).

fof(f929,plain,
    ( member(regular(subset_relation),cross_product(universal_class,universal_class))
    | null_class = subset_relation
    | ~ spl0_65
    | ~ spl0_114 ),
    inference(superposition,[],[f892,f522]) ).

fof(f2429,plain,
    ( spl0_241
    | spl0_155
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f757,f715,f249,f1340,f2427]) ).

fof(f2427,plain,
    ( spl0_241
  <=> ! [X0,X1] : ~ inductive(compose(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f249,plain,
    ( spl0_19
  <=> ! [X5,X7] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f757,plain,
    ( ! [X0,X1] :
        ( member(null_class,cross_product(universal_class,universal_class))
        | ~ inductive(compose(X0,X1)) )
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f250]) ).

fof(f250,plain,
    ( ! [X7,X5] : subclass(compose(X7,X5),cross_product(universal_class,universal_class))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f2418,plain,
    ( spl0_240
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2346,f330,f284,f2415]) ).

fof(f2413,plain,
    ( spl0_239
    | ~ spl0_33
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2409,f1340,f318,f2411]) ).

fof(f2411,plain,
    ( spl0_239
  <=> ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f2409,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | member(null_class,X0) )
    | ~ spl0_33
    | ~ spl0_155 ),
    inference(resolution,[],[f1341,f319]) ).

fof(f2406,plain,
    ( spl0_238
    | spl0_155
    | ~ spl0_20
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f749,f715,f253,f1340,f2404]) ).

fof(f749,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(universal_class,universal_class))
        | ~ inductive(X0)
        | ~ function(X0) )
    | ~ spl0_20
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f254]) ).

fof(f2402,plain,
    ( spl0_237
    | ~ spl0_18
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f744,f711,f245,f2400]) ).

fof(f744,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(unordered_pair(X1,X2),X0) )
    | ~ spl0_18
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f246]) ).

fof(f2389,plain,
    ( spl0_236
    | ~ spl0_14
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1142,f1126,f228,f2387]) ).

fof(f1142,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,null_class),universal_class)
        | member(not_subclass_element(X0,null_class),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(X0,null_class) )
    | ~ spl0_14
    | ~ spl0_132 ),
    inference(superposition,[],[f1127,f230]) ).

fof(f2369,plain,
    ( spl0_235
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f957,f899,f822,f2367]) ).

fof(f957,plain,
    ( ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1) )
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(duplicate_literal_removal,[],[f946]) ).

fof(f946,plain,
    ( ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1)
        | subclass(complement(X0),X1) )
    | ~ spl0_105
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f823]) ).

fof(f2365,plain,
    ( spl0_234
    | ~ spl0_101
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f879,f826,f786,f2363]) ).

fof(f879,plain,
    ( ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class )
    | ~ spl0_101
    | ~ spl0_106 ),
    inference(duplicate_literal_removal,[],[f868]) ).

fof(f868,plain,
    ( ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class
        | complement(X0) = null_class )
    | ~ spl0_101
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f787]) ).

fof(f2361,plain,
    ( spl0_233
    | ~ spl0_19
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f820,f794,f249,f2359]) ).

fof(f2359,plain,
    ( spl0_233
  <=> ! [X0,X1] :
        ( function(compose(X0,X1))
        | ~ single_valued_class(compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f820,plain,
    ( ! [X0,X1] :
        ( function(compose(X0,X1))
        | ~ single_valued_class(compose(X0,X1)) )
    | ~ spl0_19
    | ~ spl0_103 ),
    inference(resolution,[],[f795,f250]) ).

fof(f2357,plain,
    ( ~ spl0_231
    | spl0_232
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f815,f794,f194,f2354,f2350]) ).

fof(f2350,plain,
    ( spl0_231
  <=> single_valued_class(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f2354,plain,
    ( spl0_232
  <=> function(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f815,plain,
    ( function(cross_product(universal_class,universal_class))
    | ~ single_valued_class(cross_product(universal_class,universal_class))
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(resolution,[],[f795,f195]) ).

fof(f2343,plain,
    ( spl0_230
    | ~ spl0_102
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f2157,f2052,f790,f2341]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | null_class = X0 )
    | ~ spl0_102
    | ~ spl0_207 ),
    inference(resolution,[],[f2054,f791]) ).

fof(f2339,plain,
    ( spl0_228
    | ~ spl0_229
    | ~ spl0_89
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f746,f711,f661,f2336,f2333]) ).

fof(f2333,plain,
    ( spl0_228
  <=> ! [X0,X1] : member(unordered_pair(X0,X1),subset_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f2336,plain,
    ( spl0_229
  <=> subclass(universal_class,identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f746,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,identity_relation)
        | member(unordered_pair(X0,X1),subset_relation) )
    | ~ spl0_89
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f662]) ).

fof(f2331,plain,
    ( spl0_227
    | ~ spl0_56
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f727,f711,f469,f2329]) ).

fof(f2329,plain,
    ( spl0_227
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f727,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X1) )
    | ~ spl0_56
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f470]) ).

fof(f2327,plain,
    ( spl0_226
    | ~ spl0_57
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f726,f711,f473,f2325]) ).

fof(f2325,plain,
    ( spl0_226
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f726,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X0) )
    | ~ spl0_57
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f474]) ).

fof(f2323,plain,
    ( spl0_225
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f670,f661,f264,f2321]) ).

fof(f670,plain,
    ( ! [X0] :
        ( member(not_subclass_element(identity_relation,X0),subset_relation)
        | subclass(identity_relation,X0) )
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(resolution,[],[f662,f265]) ).

fof(f2319,plain,
    ( spl0_224
    | ~ spl0_32
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f619,f580,f304,f2317]) ).

fof(f2317,plain,
    ( spl0_224
  <=> ! [X0] :
        ( single_valued_class(domain_of(flip(cross_product(X0,universal_class))))
        | ~ one_to_one(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f304,plain,
    ( spl0_32
  <=> ! [X8] :
        ( ~ one_to_one(X8)
        | function(domain_of(flip(cross_product(X8,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f580,plain,
    ( spl0_75
  <=> ! [X0] :
        ( single_valued_class(X0)
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f619,plain,
    ( ! [X0] :
        ( single_valued_class(domain_of(flip(cross_product(X0,universal_class))))
        | ~ one_to_one(X0) )
    | ~ spl0_32
    | ~ spl0_75 ),
    inference(resolution,[],[f581,f305]) ).

fof(f305,plain,
    ( ! [X8] :
        ( function(domain_of(flip(cross_product(X8,universal_class))))
        | ~ one_to_one(X8) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f581,plain,
    ( ! [X0] :
        ( ~ function(X0)
        | single_valued_class(X0) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f2283,plain,
    ( spl0_223
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1038,f1020,f228,f2281]) ).

fof(f2281,plain,
    ( spl0_223
  <=> ! [X0,X1] :
        ( ~ subclass(null_class,X0)
        | ~ member(X1,universal_class)
        | member(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1038,plain,
    ( ! [X0,X1] :
        ( ~ subclass(null_class,X0)
        | ~ member(X1,universal_class)
        | member(X1,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | member(X1,X0) )
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(superposition,[],[f1021,f230]) ).

fof(f2279,plain,
    ( spl0_222
    | ~ spl0_33
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f708,f702,f318,f2277]) ).

fof(f2277,plain,
    ( spl0_222
  <=> ! [X0,X1] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | ~ subclass(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X1)
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f708,plain,
    ( ! [X0,X1] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | ~ subclass(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),X1)
        | member(X0,X1) )
    | ~ spl0_33
    | ~ spl0_93 ),
    inference(resolution,[],[f703,f319]) ).

fof(f2268,plain,
    ( spl0_221
    | ~ spl0_90
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f952,f899,f675,f2266]) ).

fof(f2266,plain,
    ( spl0_221
  <=> ! [X0,X1] :
        ( ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(X0,X1)
        | ~ member(not_subclass_element(X0,X1),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f952,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(X0,X1)
        | ~ member(not_subclass_element(X0,X1),null_class) )
    | ~ spl0_90
    | ~ spl0_116 ),
    inference(resolution,[],[f900,f676]) ).

fof(f2257,plain,
    ( spl0_220
    | ~ spl0_90
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f874,f826,f675,f2255]) ).

fof(f2255,plain,
    ( spl0_220
  <=> ! [X0] :
        ( ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | null_class = X0
        | ~ member(regular(X0),null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ subclass(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | null_class = X0
        | ~ member(regular(X0),null_class) )
    | ~ spl0_90
    | ~ spl0_106 ),
    inference(resolution,[],[f827,f676]) ).

fof(f2253,plain,
    ( ~ spl0_219
    | spl0_155
    | ~ spl0_11
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f755,f715,f215,f1340,f2250]) ).

fof(f2250,plain,
    ( spl0_219
  <=> inductive(successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f755,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ inductive(successor_relation)
    | ~ spl0_11
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f217]) ).

fof(f2248,plain,
    ( ~ spl0_218
    | spl0_155
    | ~ spl0_10
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f750,f715,f210,f1340,f2245]) ).

fof(f2245,plain,
    ( spl0_218
  <=> inductive(element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f750,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ inductive(element_relation)
    | ~ spl0_10
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f212]) ).

fof(f2241,plain,
    ( spl0_217
    | ~ spl0_207
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2232,f2205,f2052,f2238]) ).

fof(f2232,plain,
    ( member(identity_relation,identity_relation)
    | ~ spl0_207
    | ~ spl0_215 ),
    inference(superposition,[],[f2054,f2207]) ).

fof(f2212,plain,
    ( spl0_215
    | spl0_216
    | ~ spl0_21
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f673,f661,f257,f2209,f2205]) ).

fof(f673,plain,
    ( member(regular(identity_relation),subset_relation)
    | null_class = identity_relation
    | ~ spl0_21
    | ~ spl0_89 ),
    inference(resolution,[],[f662,f258]) ).

fof(f2199,plain,
    ( spl0_214
    | ~ spl0_14
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f864,f822,f228,f2197]) ).

fof(f2197,plain,
    ( spl0_214
  <=> ! [X0] :
        ( ~ member(not_subclass_element(null_class,X0),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f864,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(null_class,X0),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | subclass(null_class,X0) )
    | ~ spl0_14
    | ~ spl0_105 ),
    inference(superposition,[],[f823,f230]) ).

fof(f2195,plain,
    ( spl0_212
    | ~ spl0_213
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f743,f711,f675,f2192,f2189]) ).

fof(f2189,plain,
    ( spl0_212
  <=> ! [X0,X1] : ~ member(unordered_pair(X0,X1),null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f2192,plain,
    ( spl0_213
  <=> subclass(universal_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f743,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(unordered_pair(X0,X1),null_class) )
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f676]) ).

fof(f2166,plain,
    ( spl0_211
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f678,f675,f386,f2164]) ).

fof(f2164,plain,
    ( spl0_211
  <=> ! [X0] :
        ( ~ member(X0,null_class)
        | ~ member(X0,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
        | ~ member(X0,complement(unordered_pair(u,u))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f678,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | ~ member(X0,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
        | ~ member(X0,complement(unordered_pair(u,u))) )
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(resolution,[],[f676,f387]) ).

fof(f2156,plain,
    ( spl0_210
    | ~ spl0_33
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2015,f638,f318,f2154]) ).

fof(f2154,plain,
    ( spl0_210
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f2015,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(null_class,X0) )
    | ~ spl0_33
    | ~ spl0_84 ),
    inference(resolution,[],[f639,f319]) ).

fof(f2152,plain,
    ( spl0_208
    | ~ spl0_209
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f729,f711,f456,f2149,f2146]) ).

fof(f2146,plain,
    ( spl0_208
  <=> ! [X0,X1] : member(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f2149,plain,
    ( spl0_209
  <=> subclass(universal_class,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f729,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,element_relation)
        | member(X0,X1) )
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(resolution,[],[f712,f457]) ).

fof(f2059,plain,
    ( ~ spl0_2
    | ~ spl0_203 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_203 ),
    inference(resolution,[],[f2012,f177]) ).

fof(f177,plain,
    ( inductive(omega)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f2012,plain,
    ( ! [X0] : ~ inductive(X0)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f2011]) ).

fof(f2011,plain,
    ( spl0_203
  <=> ! [X0] : ~ inductive(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f2058,plain,
    ( ~ spl0_85
    | ~ spl0_203 ),
    inference(avatar_contradiction_clause,[],[f2057]) ).

fof(f2057,plain,
    ( $false
    | ~ spl0_85
    | ~ spl0_203 ),
    inference(resolution,[],[f2012,f644]) ).

fof(f644,plain,
    ( inductive(universal_class)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_85
  <=> inductive(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2055,plain,
    ( ~ spl0_84
    | spl0_207
    | spl0_36
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2044,f702,f330,f2052,f638]) ).

fof(f2044,plain,
    ( member(null_class,null_class)
    | ~ member(null_class,universal_class)
    | spl0_36
    | ~ spl0_93 ),
    inference(resolution,[],[f332,f703]) ).

fof(f332,plain,
    ( ~ member(null_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | spl0_36 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f2050,plain,
    ( spl0_206
    | ~ spl0_28
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f706,f702,f288,f2048]) ).

fof(f2048,plain,
    ( spl0_206
  <=> ! [X0] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | member(X0,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f706,plain,
    ( ! [X0] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | member(X0,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))) )
    | ~ spl0_28
    | ~ spl0_93 ),
    inference(resolution,[],[f703,f289]) ).

fof(f2023,plain,
    ( spl0_205
    | ~ spl0_23
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1014,f970,f268,f2021]) ).

fof(f1014,plain,
    ( ! [X0,X1] : subclass(intersection(X0,X1),X1)
    | ~ spl0_23
    | ~ spl0_120 ),
    inference(duplicate_literal_removal,[],[f998]) ).

fof(f998,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),X1)
        | subclass(intersection(X0,X1),X1) )
    | ~ spl0_23
    | ~ spl0_120 ),
    inference(resolution,[],[f971,f269]) ).

fof(f2019,plain,
    ( spl0_204
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f997,f966,f268,f2017]) ).

fof(f2017,plain,
    ( spl0_204
  <=> ! [X0,X1] : subclass(intersection(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f997,plain,
    ( ! [X0,X1] : subclass(intersection(X0,X1),X0)
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f981]) ).

fof(f981,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),X0)
        | subclass(intersection(X0,X1),X0) )
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(resolution,[],[f967,f269]) ).

fof(f2013,plain,
    ( spl0_203
    | spl0_84
    | ~ spl0_4
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f747,f715,f185,f638,f2011]) ).

fof(f747,plain,
    ( ! [X0] :
        ( member(null_class,universal_class)
        | ~ inductive(X0) )
    | ~ spl0_4
    | ~ spl0_95 ),
    inference(resolution,[],[f716,f186]) ).

fof(f2006,plain,
    ( ~ spl0_202
    | spl0_196
    | ~ spl0_12
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f671,f661,f220,f1975,f2003]) ).

fof(f2003,plain,
    ( spl0_202
  <=> inductive(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f671,plain,
    ( member(null_class,subset_relation)
    | ~ inductive(identity_relation)
    | ~ spl0_12
    | ~ spl0_89 ),
    inference(resolution,[],[f662,f221]) ).

fof(f2001,plain,
    ( spl0_201
    | ~ spl0_22
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1628,f1401,f264,f1999]) ).

fof(f1999,plain,
    ( spl0_201
  <=> ! [X0] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f1628,plain,
    ( ! [X0] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0)) )
    | ~ spl0_22
    | ~ spl0_160 ),
    inference(duplicate_literal_removal,[],[f1621]) ).

fof(f1621,plain,
    ( ! [X0] :
        ( subset_relation = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
        | subclass(universal_class,domain_of(X0))
        | subclass(universal_class,domain_of(X0)) )
    | ~ spl0_22
    | ~ spl0_160 ),
    inference(resolution,[],[f1402,f265]) ).

fof(f1997,plain,
    ( ~ spl0_199
    | spl0_200
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f818,f794,f215,f1994,f1990]) ).

fof(f1990,plain,
    ( spl0_199
  <=> single_valued_class(successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f1994,plain,
    ( spl0_200
  <=> function(successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f818,plain,
    ( function(successor_relation)
    | ~ single_valued_class(successor_relation)
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(resolution,[],[f795,f217]) ).

fof(f1988,plain,
    ( ~ spl0_197
    | spl0_198
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f816,f794,f210,f1985,f1981]) ).

fof(f816,plain,
    ( function(element_relation)
    | ~ single_valued_class(element_relation)
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(resolution,[],[f795,f212]) ).

fof(f1978,plain,
    ( ~ spl0_196
    | ~ spl0_97
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1348,f1340,f723,f1975]) ).

fof(f1348,plain,
    ( ~ member(null_class,subset_relation)
    | ~ spl0_97
    | spl0_155 ),
    inference(resolution,[],[f1342,f724]) ).

fof(f1969,plain,
    ( ~ spl0_195
    | ~ spl0_94
    | spl0_184 ),
    inference(avatar_split_clause,[],[f1843,f1836,f711,f1966]) ).

fof(f1966,plain,
    ( spl0_195
  <=> subclass(universal_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f1843,plain,
    ( ~ subclass(universal_class,cross_product(universal_class,universal_class))
    | ~ spl0_94
    | spl0_184 ),
    inference(resolution,[],[f1838,f712]) ).

fof(f1955,plain,
    ( spl0_194
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f589,f585,f576,f1953]) ).

fof(f589,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),compose(X3,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)))),unordered_pair(unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)),unordered_pair(not_homomorphism1(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),unordered_pair(not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4),not_homomorphism2(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4))))))),cross_product(universal_class,universal_class))
        | ~ operation(X4)
        | ~ compatible(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | homomorphism(X1,domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class))),X4)
        | ~ operation(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X3),universal_class)))) )
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f577]) ).

fof(f1951,plain,
    ( spl0_193
    | ~ spl0_44
    | ~ spl0_74
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f632,f627,f576,f390,f1949]) ).

fof(f1949,plain,
    ( spl0_193
  <=> ! [X2,X4,X0,X3,X1] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class)),universal_class)))))))),universal_class),X0),universal_class)))))))
        | ~ homomorphism(X0,X1,X2)
        | ~ operation(X4)
        | ~ compatible(X3,X1,X4)
        | homomorphism(X3,X1,X4)
        | ~ operation(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f632,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class)),universal_class)))))))),universal_class),X0),universal_class)))))))
        | ~ homomorphism(X0,X1,X2)
        | ~ operation(X4)
        | ~ compatible(X3,X1,X4)
        | homomorphism(X3,X1,X4)
        | ~ operation(X1) )
    | ~ spl0_44
    | ~ spl0_74
    | ~ spl0_82 ),
    inference(forward_demodulation,[],[f630,f391]) ).

fof(f630,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ homomorphism(X0,X1,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)))),unordered_pair(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),unordered_pair(not_homomorphism1(X3,X1,X4),unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4))))),universal_class),X1),universal_class)))))))),universal_class),X0),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X3,X1,X4),not_homomorphism1(X3,X1,X4)),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X3,X1,X4),not_homomorphism2(X3,X1,X4)),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ operation(X4)
        | ~ compatible(X3,X1,X4)
        | homomorphism(X3,X1,X4)
        | ~ operation(X1) )
    | ~ spl0_74
    | ~ spl0_82 ),
    inference(resolution,[],[f628,f577]) ).

fof(f1943,plain,
    ( spl0_192
    | ~ spl0_61
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f631,f627,f490,f1941]) ).

fof(f631,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ homomorphism(X0,X1,X2)
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1),universal_class)))))))),universal_class),X0),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X3,X3),universal_class),X0),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X4,X4),universal_class),X0),universal_class))))))))))),universal_class),X2),universal_class)))))))
        | ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),universal_class)
        | null_class = intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class),X1) )
    | ~ spl0_61
    | ~ spl0_82 ),
    inference(resolution,[],[f628,f491]) ).

fof(f1930,plain,
    ( spl0_191
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f592,f585,f557,f1928]) ).

fof(f592,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),universal_class)),universal_class)))))))))),cross_product(universal_class,universal_class))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f558]) ).

fof(f1926,plain,
    ( spl0_190
    | ~ spl0_68
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f562,f557,f540,f1924]) ).

fof(f1924,plain,
    ( spl0_190
  <=> ! [X0,X1] :
        ( ~ member(cross_product(X0,X1),universal_class)
        | cross_product(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f562,plain,
    ( ! [X0,X1] :
        ( ~ member(cross_product(X0,X1),universal_class)
        | cross_product(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))) = unordered_pair(unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))),unordered_pair(first(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),unordered_pair(second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))))),second(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))))) )
    | ~ spl0_68
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f541]) ).

fof(f1913,plain,
    ( spl0_189
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f590,f585,f264,f1911]) ).

fof(f590,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3),not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3)))),cross_product(universal_class,universal_class))
        | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))),X3) )
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f265]) ).

fof(f1900,plain,
    ( spl0_188
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f593,f585,f257,f1898]) ).

fof(f593,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class))))),regular(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))))))),cross_product(universal_class,universal_class))
        | null_class = domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f258]) ).

fof(f1856,plain,
    ( spl0_187
    | ~ spl0_66
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f625,f621,f525,f1854]) ).

fof(f625,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(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_66
    | ~ spl0_81 ),
    inference(resolution,[],[f622,f526]) ).

fof(f1852,plain,
    ( spl0_186
    | ~ spl0_66
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f624,f615,f525,f1850]) ).

fof(f624,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))),rotate(X3))
        | ~ 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(X0,X0))),X3)
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | ~ spl0_66
    | ~ spl0_80 ),
    inference(resolution,[],[f616,f526]) ).

fof(f1848,plain,
    ( ~ spl0_185
    | ~ spl0_94
    | spl0_183 ),
    inference(avatar_split_clause,[],[f1840,f1832,f711,f1845]) ).

fof(f1845,plain,
    ( spl0_185
  <=> subclass(universal_class,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1840,plain,
    ( ~ subclass(universal_class,successor_relation)
    | ~ spl0_94
    | spl0_183 ),
    inference(resolution,[],[f1833,f712]) ).

fof(f1839,plain,
    ( spl0_183
    | ~ spl0_184
    | ~ spl0_14
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f605,f601,f228,f1836,f1832]) ).

fof(f605,plain,
    ( ~ member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),cross_product(universal_class,universal_class))
    | member(unordered_pair(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),unordered_pair(complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))))),complement(intersection(null_class,complement(unordered_pair(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))))))))),successor_relation)
    | ~ spl0_14
    | ~ spl0_77 ),
    inference(superposition,[],[f602,f230]) ).

fof(f1784,plain,
    ( spl0_182
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f543,f540,f525,f1782]) ).

fof(f543,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) )
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(resolution,[],[f541,f526]) ).

fof(f1774,plain,
    ( spl0_181
    | ~ spl0_35
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f598,f585,f326,f1772]) ).

fof(f598,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(null_class,universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(regular(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
        | null_class = cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class) )
    | ~ spl0_35
    | ~ spl0_76 ),
    inference(superposition,[],[f586,f327]) ).

fof(f1764,plain,
    ( spl0_180
    | ~ spl0_61
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f588,f585,f490,f1762]) ).

fof(f588,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | ~ member(X1,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X1,X1),universal_class),domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X3),universal_class)))),universal_class),X2),universal_class)))) )
    | ~ spl0_61
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f491]) ).

fof(f1755,plain,
    ( spl0_179
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f561,f557,f382,f1753]) ).

fof(f561,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(X0,X1),universal_class)
        | unordered_pair(X0,X1) = null_class
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0
        | domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 )
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f383]) ).

fof(f1748,plain,
    ( spl0_178
    | spl0_104
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1744,f1740,f1257,f810,f1746]) ).

fof(f1744,plain,
    ( ! [X2,X0,X1] :
        ( subset_relation = cross_product(unordered_pair(X0,X0),universal_class)
        | ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(forward_demodulation,[],[f1743,f1355]) ).

fof(f1743,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(forward_demodulation,[],[f1741,f1355]) ).

fof(f1742,plain,
    ( spl0_177
    | ~ spl0_35
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f595,f585,f326,f1740]) ).

fof(f595,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class),X2),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_76 ),
    inference(superposition,[],[f586,f327]) ).

fof(f1658,plain,
    ( spl0_176
    | ~ spl0_44
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f597,f585,f390,f1656]) ).

fof(f597,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X1),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),compose(X2,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),cross_product(universal_class,universal_class)) )
    | ~ spl0_44
    | ~ spl0_76 ),
    inference(superposition,[],[f586,f391]) ).

fof(f1654,plain,
    ( spl0_175
    | ~ spl0_44
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f594,f585,f390,f1652]) ).

fof(f594,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class),X3),universal_class)))))
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),compose(X3,X1))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)) )
    | ~ spl0_44
    | ~ spl0_76 ),
    inference(superposition,[],[f586,f391]) ).

fof(f1620,plain,
    ( spl0_174
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1435,f810,f318,f1618]) ).

fof(f1435,plain,
    ( ! [X0] :
        ( ~ subclass(subset_relation,X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(resolution,[],[f811,f319]) ).

fof(f811,plain,
    ( member(u,subset_relation)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f1616,plain,
    ( spl0_173
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f591,f585,f220,f1614]) ).

fof(f591,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),cross_product(universal_class,universal_class))
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X2),universal_class)))),universal_class),X1),universal_class))))) )
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(resolution,[],[f586,f221]) ).

fof(f1600,plain,
    ( spl0_172
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f546,f540,f264,f1598]) ).

fof(f546,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),first(not_subclass_element(cross_product(X0,X1),X2))),unordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),unordered_pair(second(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))))
        | subclass(cross_product(X0,X1),X2) )
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f541,f265]) ).

fof(f1574,plain,
    ( spl0_171
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f583,f576,f318,f1572]) ).

fof(f583,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ operation(X0)
        | ~ compatible(X1,X2,X0)
        | homomorphism(X1,X2,X0)
        | ~ operation(X2)
        | ~ subclass(domain_of(X2),X3)
        | member(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X0),not_homomorphism1(X1,X2,X0)),unordered_pair(not_homomorphism1(X1,X2,X0),unordered_pair(not_homomorphism2(X1,X2,X0),not_homomorphism2(X1,X2,X0)))),X3) )
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(resolution,[],[f577,f319]) ).

fof(f1546,plain,
    ( spl0_170
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f545,f540,f257,f1544]) ).

fof(f545,plain,
    ( ! [X0,X1] :
        ( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(resolution,[],[f541,f258]) ).

fof(f1539,plain,
    ( spl0_169
    | ~ spl0_66
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f604,f601,f525,f1537]) ).

fof(f604,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation)
        | ~ member(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_77 ),
    inference(resolution,[],[f602,f526]) ).

fof(f1495,plain,
    ( spl0_168
    | ~ spl0_27
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f564,f557,f284,f1493]) ).

fof(f564,plain,
    ( ! [X0,X1] :
        ( ~ member(intersection(X0,X1),universal_class)
        | intersection(X0,X1) = null_class
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X0) )
    | ~ spl0_27
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f285]) ).

fof(f1491,plain,
    ( spl0_167
    | ~ spl0_28
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f563,f557,f288,f1489]) ).

fof(f563,plain,
    ( ! [X0,X1] :
        ( ~ member(intersection(X0,X1),universal_class)
        | intersection(X0,X1) = null_class
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))))),X1) )
    | ~ spl0_28
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f289]) ).

fof(f1472,plain,
    ( spl0_166
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f565,f557,f245,f1470]) ).

fof(f565,plain,
    ( ! [X0] :
        ( ~ member(complement(X0),universal_class)
        | complement(X0) = null_class
        | ~ member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))))),X0) )
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f246]) ).

fof(f1453,plain,
    ( spl0_165
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f560,f557,f318,f1451]) ).

fof(f560,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | null_class = X0
        | ~ subclass(X0,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X1) )
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f319]) ).

fof(f1447,plain,
    ( spl0_164
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f467,f464,f322,f1445]) ).

fof(f467,plain,
    ( ! [X0] :
        ( ~ inductive(X0)
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))))
        | domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))) = X0 )
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(resolution,[],[f465,f323]) ).

fof(f1434,plain,
    ( ~ spl0_161
    | ~ spl0_162
    | spl0_163
    | ~ spl0_62
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f528,f520,f499,f1431,f1427,f1423]) ).

fof(f1423,plain,
    ( spl0_161
  <=> function(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1431,plain,
    ( spl0_163
  <=> member(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f499,plain,
    ( spl0_62
  <=> ! [X0,X8] :
        ( ~ function(X8)
        | ~ member(X0,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X8),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f528,plain,
    ( member(domain_of(domain_of(flip(cross_product(subset_relation,universal_class)))),universal_class)
    | ~ member(universal_class,universal_class)
    | ~ function(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
    | ~ spl0_62
    | ~ spl0_65 ),
    inference(superposition,[],[f500,f522]) ).

fof(f500,plain,
    ( ! [X0,X8] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X8),universal_class)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ function(X8) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1403,plain,
    ( spl0_160
    | spl0_104
    | ~ spl0_143
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1399,f1396,f1257,f810,f1401]) ).

fof(f1399,plain,
    ( ! [X0,X1] :
        ( subset_relation = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | subclass(X0,domain_of(X1)) )
    | spl0_104
    | ~ spl0_143
    | ~ spl0_159 ),
    inference(forward_demodulation,[],[f1397,f1355]) ).

fof(f1398,plain,
    ( spl0_159
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f497,f490,f390,f268,f1396]) ).

fof(f497,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X1,cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class))
        | ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | subclass(X0,domain_of(X1)) )
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_61 ),
    inference(forward_demodulation,[],[f496,f391]) ).

fof(f496,plain,
    ( ! [X0,X1] :
        ( ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
        | null_class = intersection(cross_product(unordered_pair(not_subclass_element(X0,domain_of(X1)),not_subclass_element(X0,domain_of(X1))),universal_class),X1)
        | subclass(X0,domain_of(X1)) )
    | ~ spl0_23
    | ~ spl0_61 ),
    inference(resolution,[],[f491,f269]) ).

fof(f1392,plain,
    ( spl0_158
    | ~ spl0_43
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f529,f520,f386,f1390]) ).

fof(f529,plain,
    ( ! [X0] :
        ( member(X0,subset_relation)
        | ~ member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))
        | ~ member(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_43
    | ~ spl0_65 ),
    inference(superposition,[],[f387,f522]) ).

fof(f1353,plain,
    ( spl0_157
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f534,f525,f318,f1351]) ).

fof(f534,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | ~ subclass(cross_product(X3,X1),X4)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X4) )
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(resolution,[],[f526,f319]) ).

fof(f1347,plain,
    ( ~ spl0_154
    | ~ spl0_155
    | spl0_156
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f518,f507,f253,f1344,f1340,f1336]) ).

fof(f1336,plain,
    ( spl0_154
  <=> 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,[spl0_154])]) ).

fof(f1344,plain,
    ( spl0_156
  <=> inductive(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f507,plain,
    ( spl0_64
  <=> ! [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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f518,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)))))
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(resolution,[],[f508,f254]) ).

fof(f508,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) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1334,plain,
    ( spl0_153
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f443,f440,f322,f1332]) ).

fof(f1332,plain,
    ( spl0_153
  <=> ! [X0] :
        ( ~ operation(X0)
        | ~ subclass(domain_of(domain_of(X0)),domain_of(domain_of(flip(cross_product(X0,universal_class)))))
        | domain_of(domain_of(flip(cross_product(X0,universal_class)))) = domain_of(domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f443,plain,
    ( ! [X0] :
        ( ~ operation(X0)
        | ~ subclass(domain_of(domain_of(X0)),domain_of(domain_of(flip(cross_product(X0,universal_class)))))
        | domain_of(domain_of(flip(cross_product(X0,universal_class)))) = domain_of(domain_of(X0)) )
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(resolution,[],[f441,f323]) ).

fof(f1330,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_35
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f512,f499,f326,f1327,f1324]) ).

fof(f1324,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | null_class = cross_product(X0,universal_class)
        | ~ function(regular(cross_product(X0,universal_class))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1327,plain,
    ( spl0_152
  <=> member(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f512,plain,
    ( ! [X0] :
        ( member(domain_of(domain_of(flip(cross_product(null_class,universal_class)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ function(regular(cross_product(X0,universal_class)))
        | null_class = cross_product(X0,universal_class) )
    | ~ spl0_35
    | ~ spl0_62 ),
    inference(superposition,[],[f500,f327]) ).

fof(f1305,plain,
    ( spl0_150
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1193,f1130,f318,f1303]) ).

fof(f1193,plain,
    ( ! [X0] :
        ( ~ subclass(null_class,X0)
        | member(u,X0) )
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(resolution,[],[f1132,f319]) ).

fof(f1132,plain,
    ( member(u,null_class)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1283,plain,
    ( spl0_149
    | ~ spl0_66
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f570,f567,f525,f1281]) ).

fof(f570,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)
        | ~ member(X0,universal_class) )
    | ~ spl0_66
    | ~ spl0_72 ),
    inference(resolution,[],[f568,f526]) ).

fof(f1279,plain,
    ( spl0_147
    | spl0_148
    | ~ spl0_12
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f544,f540,f220,f1276,f1273]) ).

fof(f1273,plain,
    ( spl0_147
  <=> ! [X0,X1] : ~ inductive(cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f544,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)) )
    | ~ spl0_12
    | ~ spl0_68 ),
    inference(resolution,[],[f541,f221]) ).

fof(f1271,plain,
    ( spl0_146
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f514,f503,f318,f1269]) ).

fof(f503,plain,
    ( spl0_63
  <=> ! [X2] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),universal_class)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f514,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(universal_class,X1)
        | member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),X1) )
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(resolution,[],[f504,f319]) ).

fof(f504,plain,
    ( ! [X2] :
        ( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),universal_class)
        | ~ member(X2,universal_class) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1267,plain,
    ( spl0_145
    | ~ spl0_33
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f510,f499,f318,f1265]) ).

fof(f510,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ subclass(universal_class,X2)
        | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X1),universal_class)))),X2) )
    | ~ spl0_33
    | ~ spl0_62 ),
    inference(resolution,[],[f500,f319]) ).

fof(f1263,plain,
    ( spl0_144
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f431,f398,f322,f1261]) ).

fof(f1261,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ function(X0)
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f431,plain,
    ( ! [X0] :
        ( ~ function(X0)
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class)))) )
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(resolution,[],[f399,f323]) ).

fof(f1259,plain,
    ( spl0_143
    | ~ spl0_102
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1192,f1130,f790,f1257]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( member(u,X0)
        | null_class = X0 )
    | ~ spl0_102
    | ~ spl0_133 ),
    inference(resolution,[],[f1132,f791]) ).

fof(f1255,plain,
    ( spl0_142
    | ~ spl0_34
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f430,f394,f322,f1253]) ).

fof(f1253,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ single_valued_class(X0)
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f430,plain,
    ( ! [X0] :
        ( ~ single_valued_class(X0)
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class)))))
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class)))) )
    | ~ spl0_34
    | ~ spl0_45 ),
    inference(resolution,[],[f395,f323]) ).

fof(f1215,plain,
    ( spl0_141
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f551,f548,f1213]) ).

fof(f548,plain,
    ( spl0_69
  <=> ! [X9,X11,X10] :
        ( ~ function(X9)
        | compatible(X9,X10,X11)
        | domain_of(domain_of(X10)) != domain_of(X9)
        | ~ subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f551,plain,
    ( ! [X0,X1] :
        ( compatible(domain_of(X0),X0,X1)
        | ~ function(domain_of(X0))
        | ~ subclass(domain_of(domain_of(flip(cross_product(domain_of(X0),universal_class)))),domain_of(domain_of(X1))) )
    | ~ spl0_69 ),
    inference(equality_resolution,[],[f549]) ).

fof(f549,plain,
    ( ! [X10,X11,X9] :
        ( domain_of(domain_of(X10)) != domain_of(X9)
        | compatible(X9,X10,X11)
        | ~ function(X9)
        | ~ subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1211,plain,
    ( spl0_140
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f495,f490,f318,f1209]) ).

fof(f495,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
        | ~ subclass(domain_of(X1),X2)
        | member(X0,X2) )
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(resolution,[],[f491,f319]) ).

fof(f1207,plain,
    ( spl0_139
    | ~ spl0_23
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f417,f386,f268,f1205]) ).

fof(f417,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
        | ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) )
    | ~ spl0_23
    | ~ spl0_43 ),
    inference(resolution,[],[f387,f269]) ).

fof(f1203,plain,
    ( spl0_138
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f413,f382,f264,f1201]) ).

fof(f413,plain,
    ( ! [X2,X0,X1] :
        ( not_subclass_element(unordered_pair(X0,X1),X2) = X0
        | not_subclass_element(unordered_pair(X0,X1),X2) = X1
        | subclass(unordered_pair(X0,X1),X2) )
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(resolution,[],[f383,f265]) ).

fof(f1191,plain,
    ( spl0_137
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f530,f520,f288,f1189]) ).

fof(f530,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) )
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(superposition,[],[f289,f522]) ).

fof(f1160,plain,
    ( spl0_136
    | ~ spl0_44
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f511,f499,f390,f1158]) ).

fof(f511,plain,
    ( ! [X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
        | ~ member(X0,universal_class)
        | ~ function(X1) )
    | ~ spl0_44
    | ~ spl0_62 ),
    inference(superposition,[],[f500,f391]) ).

fof(f1156,plain,
    ( spl0_135
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f412,f382,f257,f1154]) ).

fof(f412,plain,
    ( ! [X0,X1] :
        ( regular(unordered_pair(X0,X1)) = X0
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(resolution,[],[f383,f258]) ).

fof(f1137,plain,
    ( spl0_134
    | ~ spl0_35
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f454,f445,f326,f1135]) ).

fof(f454,plain,
    ( ! [X0] :
        ( ~ member(X0,domain_of(regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f452]) ).

fof(f452,plain,
    ( ! [X0] :
        ( null_class != null_class
        | ~ member(X0,domain_of(regular(cross_product(unordered_pair(X0,X0),universal_class))))
        | null_class = cross_product(unordered_pair(X0,X0),universal_class) )
    | ~ spl0_35
    | ~ spl0_52 ),
    inference(superposition,[],[f446,f327]) ).

fof(f1133,plain,
    ( ~ spl0_1
    | spl0_133
    | ~ spl0_24
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1081,f978,f272,f1130,f170]) ).

fof(f978,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | member(X0,null_class)
        | ~ member(X0,unordered_pair(u,u)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1081,plain,
    ( member(u,null_class)
    | ~ member(u,universal_class)
    | ~ spl0_24
    | ~ spl0_122 ),
    inference(duplicate_literal_removal,[],[f1067]) ).

fof(f1067,plain,
    ( member(u,null_class)
    | ~ member(u,universal_class)
    | ~ member(u,universal_class)
    | ~ spl0_24
    | ~ spl0_122 ),
    inference(resolution,[],[f979,f273]) ).

fof(f979,plain,
    ( ! [X0] :
        ( ~ member(X0,unordered_pair(u,u))
        | member(X0,null_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f1128,plain,
    ( spl0_132
    | ~ spl0_23
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f378,f365,f268,f1126]) ).

fof(f378,plain,
    ( ! [X0,X1] :
        ( member(not_subclass_element(X0,complement(X1)),X1)
        | ~ member(not_subclass_element(X0,complement(X1)),universal_class)
        | subclass(X0,complement(X1)) )
    | ~ spl0_23
    | ~ spl0_39 ),
    inference(resolution,[],[f366,f269]) ).

fof(f1124,plain,
    ( spl0_131
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f356,f322,f296,f1122]) ).

fof(f356,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0))
        | cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0) )
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f297]) ).

fof(f1120,plain,
    ( spl0_130
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f355,f322,f292,f1118]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0))
        | rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class) )
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f293]) ).

fof(f1095,plain,
    ( spl0_129
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f434,f406,f318,f1093]) ).

fof(f406,plain,
    ( spl0_48
  <=> ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f434,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(universal_class,X1)
        | member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),X1) )
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(resolution,[],[f407,f319]) ).

fof(f407,plain,
    ( ! [X0] :
        ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1091,plain,
    ( spl0_128
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f416,f386,f318,f1089]) ).

fof(f416,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | ~ subclass(intersection(X2,X1),X3)
        | member(X0,X3) )
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(resolution,[],[f387,f319]) ).

fof(f1087,plain,
    ( spl0_127
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f359,f322,f249,f1085]) ).

fof(f359,plain,
    ( ! [X0,X1] :
        ( ~ subclass(cross_product(universal_class,universal_class),compose(X0,X1))
        | cross_product(universal_class,universal_class) = compose(X0,X1) )
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f250]) ).

fof(f1034,plain,
    ( spl0_126
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f451,f445,f390,f1032]) ).

fof(f451,plain,
    ( ! [X0,X1] :
        ( null_class != intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
        | ~ member(X0,domain_of(X1)) )
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(superposition,[],[f446,f391]) ).

fof(f1030,plain,
    ( spl0_125
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f419,f386,f339,f1028]) ).

fof(f419,plain,
    ( ! [X0] :
        ( member(X0,identity_relation)
        | ~ member(X0,subset_relation)
        | ~ member(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(superposition,[],[f387,f341]) ).

fof(f1026,plain,
    ( spl0_124
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f418,f386,f326,f1024]) ).

fof(f418,plain,
    ( ! [X0,X1] :
        ( member(X1,null_class)
        | ~ member(X1,regular(X0))
        | ~ member(X1,X0)
        | null_class = X0 )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(superposition,[],[f387,f327]) ).

fof(f1022,plain,
    ( spl0_123
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f377,f365,f318,f1020]) ).

fof(f377,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,universal_class)
        | ~ subclass(complement(X1),X2)
        | member(X0,X2) )
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(resolution,[],[f366,f319]) ).

fof(f980,plain,
    ( spl0_122
    | ~ spl0_18
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f902,f761,f245,f978]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | member(X0,null_class)
        | ~ member(X0,unordered_pair(u,u)) )
    | ~ spl0_18
    | ~ spl0_98 ),
    inference(resolution,[],[f762,f246]) ).

fof(f976,plain,
    ( spl0_121
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f353,f322,f253,f974]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ subclass(cross_product(universal_class,universal_class),X0)
        | cross_product(universal_class,universal_class) = X0
        | ~ function(X0) )
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f254]) ).

fof(f972,plain,
    ( spl0_120
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f316,f288,f264,f970]) ).

fof(f316,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(resolution,[],[f289,f265]) ).

fof(f968,plain,
    ( spl0_119
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f313,f284,f264,f966]) ).

fof(f313,plain,
    ( ! [X2,X0,X1] :
        ( member(not_subclass_element(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(resolution,[],[f285,f265]) ).

fof(f914,plain,
    ( spl0_118
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f350,f318,f280,f912]) ).

fof(f350,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X1,X2)
        | ~ member(X1,universal_class) )
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f281]) ).

fof(f910,plain,
    ( spl0_117
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f349,f318,f272,f908]) ).

fof(f349,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(unordered_pair(X0,X1),X2)
        | member(X0,X2)
        | ~ member(X0,universal_class) )
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f273]) ).

fof(f901,plain,
    ( spl0_116
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f348,f318,f264,f899]) ).

fof(f348,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | member(not_subclass_element(X0,X2),X1)
        | subclass(X0,X2) )
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f265]) ).

fof(f897,plain,
    ( spl0_115
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f315,f288,f257,f895]) ).

fof(f315,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(resolution,[],[f289,f258]) ).

fof(f893,plain,
    ( spl0_114
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f312,f284,f257,f891]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( member(regular(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f285,f258]) ).

fof(f858,plain,
    ( spl0_113
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f411,f382,f220,f856]) ).

fof(f411,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | null_class = X1
        | ~ inductive(unordered_pair(X0,X1)) )
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(resolution,[],[f383,f221]) ).

fof(f854,plain,
    ( spl0_112
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f363,f339,f284,f852]) ).

fof(f363,plain,
    ( ! [X0] :
        ( ~ member(X0,identity_relation)
        | member(X0,domain_of(flip(cross_product(subset_relation,universal_class)))) )
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(superposition,[],[f285,f341]) ).

fof(f850,plain,
    ( spl0_111
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f360,f326,f288,f848]) ).

fof(f360,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,null_class)
        | member(X1,regular(X0))
        | null_class = X0 )
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(superposition,[],[f289,f327]) ).

fof(f846,plain,
    ( spl0_109
    | ~ spl0_110
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f357,f322,f215,f843,f839]) ).

fof(f357,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),successor_relation)
    | cross_product(universal_class,universal_class) = successor_relation
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f217]) ).

fof(f837,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f354,f322,f210,f834,f830]) ).

fof(f354,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),element_relation)
    | element_relation = cross_product(universal_class,universal_class)
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f212]) ).

fof(f828,plain,
    ( spl0_106
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f347,f318,f257,f826]) ).

fof(f347,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | member(regular(X0),X1)
        | null_class = X0 )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f258]) ).

fof(f824,plain,
    ( spl0_105
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f307,f264,f245,f822]) ).

fof(f307,plain,
    ( ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | ~ member(not_subclass_element(complement(X0),X1),X0) )
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(resolution,[],[f265,f246]) ).

fof(f813,plain,
    ( ~ spl0_104
    | spl0_60
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f775,f723,f485,f810]) ).

fof(f775,plain,
    ( ~ member(u,subset_relation)
    | spl0_60
    | ~ spl0_97 ),
    inference(resolution,[],[f724,f486]) ).

fof(f486,plain,
    ( ~ member(u,cross_product(universal_class,universal_class))
    | spl0_60 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f796,plain,
    ( spl0_103
    | ~ spl0_45
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f494,f477,f394,f794]) ).

fof(f477,plain,
    ( spl0_58
  <=> ! [X8] :
        ( function(X8)
        | ~ subclass(X8,cross_product(universal_class,universal_class))
        | ~ subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f494,plain,
    ( ! [X0] :
        ( ~ subclass(X0,cross_product(universal_class,universal_class))
        | function(X0)
        | ~ single_valued_class(X0) )
    | ~ spl0_45
    | ~ spl0_58 ),
    inference(resolution,[],[f478,f395]) ).

fof(f478,plain,
    ( ! [X8] :
        ( ~ subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation)
        | ~ subclass(X8,cross_product(universal_class,universal_class))
        | function(X8) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f792,plain,
    ( spl0_102
    | ~ spl0_27
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f361,f326,f284,f790]) ).

fof(f361,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,null_class)
        | member(X1,X0)
        | null_class = X0 )
    | ~ spl0_27
    | ~ spl0_35 ),
    inference(superposition,[],[f285,f327]) ).

fof(f788,plain,
    ( spl0_101
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f262,f257,f245,f786]) ).

fof(f262,plain,
    ( ! [X0] :
        ( complement(X0) = null_class
        | ~ member(regular(complement(X0)),X0) )
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f258,f246]) ).

fof(f784,plain,
    ( ~ spl0_99
    | spl0_100
    | ~ spl0_14
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f515,f503,f228,f781,f777]) ).

fof(f515,plain,
    ( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(null_class,universal_class)),universal_class))))),universal_class)
    | ~ member(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))),universal_class)
    | ~ spl0_14
    | ~ spl0_63 ),
    inference(superposition,[],[f504,f230]) ).

fof(f763,plain,
    ( spl0_98
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f707,f702,f284,f761]) ).

fof(f707,plain,
    ( ! [X0] :
        ( member(X0,null_class)
        | ~ member(X0,universal_class)
        | member(X0,complement(unordered_pair(u,u))) )
    | ~ spl0_27
    | ~ spl0_93 ),
    inference(resolution,[],[f703,f285]) ).

fof(f725,plain,
    ( spl0_97
    | ~ spl0_27
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f531,f520,f284,f723]) ).

fof(f531,plain,
    ( ! [X0] :
        ( ~ member(X0,subset_relation)
        | member(X0,cross_product(universal_class,universal_class)) )
    | ~ spl0_27
    | ~ spl0_65 ),
    inference(superposition,[],[f285,f522]) ).

fof(f721,plain,
    ( spl0_96
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f358,f322,f224,f719]) ).

fof(f224,plain,
    ( spl0_13
  <=> ! [X1] :
        ( ~ inductive(X1)
        | subclass(omega,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ subclass(X0,omega)
        | omega = X0
        | ~ inductive(X0) )
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f225]) ).

fof(f225,plain,
    ( ! [X1] :
        ( subclass(omega,X1)
        | ~ inductive(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f717,plain,
    ( spl0_95
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f346,f318,f220,f715]) ).

fof(f346,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,X1)
        | member(null_class,X1)
        | ~ inductive(X0) )
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f221]) ).

fof(f713,plain,
    ( spl0_94
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f345,f318,f206,f711]) ).

fof(f345,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(unordered_pair(X1,X2),X0) )
    | ~ spl0_9
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f207]) ).

fof(f704,plain,
    ( spl0_93
    | ~ spl0_14
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f379,f365,f228,f702]) ).

fof(f379,plain,
    ( ! [X0] :
        ( member(X0,null_class)
        | member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
        | ~ member(X0,universal_class) )
    | ~ spl0_14
    | ~ spl0_39 ),
    inference(superposition,[],[f366,f230]) ).

fof(f690,plain,
    ( spl0_92
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f314,f288,f220,f688]) ).

fof(f314,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X1,X0)) )
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(resolution,[],[f289,f221]) ).

fof(f686,plain,
    ( spl0_91
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f311,f284,f220,f684]) ).

fof(f684,plain,
    ( spl0_91
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X0,X1)) )
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(resolution,[],[f285,f221]) ).

fof(f677,plain,
    ( spl0_90
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f261,f245,f228,f675]) ).

fof(f261,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | ~ member(X0,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) )
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f246,f230]) ).

fof(f663,plain,
    ( spl0_89
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f362,f339,f288,f661]) ).

fof(f362,plain,
    ( ! [X0] :
        ( ~ member(X0,identity_relation)
        | member(X0,subset_relation) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(superposition,[],[f289,f341]) ).

fof(f659,plain,
    ( spl0_88
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f351,f322,f185,f657]) ).

fof(f351,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | universal_class = X0 )
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(resolution,[],[f323,f186]) ).

fof(f655,plain,
    ( spl0_87
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f344,f318,f189,f653]) ).

fof(f653,plain,
    ( spl0_87
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(omega,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f344,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(omega,X0) )
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f191]) ).

fof(f651,plain,
    ( spl0_86
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f618,f580,f180,f648]) ).

fof(f648,plain,
    ( spl0_86
  <=> single_valued_class(choice) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f618,plain,
    ( single_valued_class(choice)
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(resolution,[],[f581,f182]) ).

fof(f645,plain,
    ( ~ spl0_84
    | spl0_85
    | ~ spl0_4
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f517,f507,f185,f642,f638]) ).

fof(f517,plain,
    ( inductive(universal_class)
    | ~ member(null_class,universal_class)
    | ~ spl0_4
    | ~ spl0_64 ),
    inference(resolution,[],[f508,f186]) ).

fof(f636,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f168,f634]) ).

fof(f634,plain,
    ( spl0_83
  <=> ! [X9,X11,X10] :
        ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))
        | ~ operation(X10)
        | ~ operation(X11)
        | ~ compatible(X9,X10,X11)
        | homomorphism(X9,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f168,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f167,f108]) ).

fof(f108,plain,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
    inference(definition_unfolding,[],[f28,f29]) ).

fof(f29,axiom,
    ! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).

fof(f167,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f166,f108]) ).

fof(f166,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f165,f108]) ).

fof(f165,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f164,f108]) ).

fof(f164,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X11,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f163,f108]) ).

fof(f163,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class))))))) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f162,f108]) ).

fof(f162,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X10,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class)),universal_class)))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f161,f108]) ).

fof(f161,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class)))))))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f160,f108]) ).

fof(f160,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X9,cross_product(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation))),universal_class)),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f159,f108]) ).

fof(f159,plain,
    ! [X10,X11,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation))),universal_class),X9),universal_class)))))))
      | ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11) ),
    inference(forward_demodulation,[],[f144,f108]) ).

fof(f144,plain,
    ! [X10,X11,X9] :
      ( ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11)
      | domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) != domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11))))),universal_class),X10),universal_class))))),element_relation))),universal_class),X9),universal_class))))),element_relation)) ),
    inference(definition_unfolding,[],[f91,f98,f99,f98,f98,f98,f98,f99]) ).

fof(f99,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).

fof(f98,plain,
    ! [X1,X8] : apply(X8,X1) = domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X8),universal_class))))),element_relation)),
    inference(definition_unfolding,[],[f68,f95,f97,f12]) ).

fof(f97,plain,
    ! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X5),universal_class)))),
    inference(definition_unfolding,[],[f42,f96,f29]) ).

fof(f96,plain,
    ! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
    inference(definition_unfolding,[],[f39,f38]) ).

fof(f38,axiom,
    ! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f39,axiom,
    ! [X4] : domain_of(inverse(X4)) = range_of(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).

fof(f42,axiom,
    ! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).

fof(f95,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(cross_product(universal_class,X0),element_relation)),
    inference(definition_unfolding,[],[f53,f29]) ).

fof(f53,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).

fof(f68,axiom,
    ! [X1,X8] : sum_class(image(X8,singleton(X1))) = apply(X8,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply) ).

fof(f91,axiom,
    ! [X10,X11,X9] :
      ( ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11)
      | apply(X11,ordered_pair(apply(X9,not_homomorphism1(X9,X10,X11)),apply(X9,not_homomorphism2(X9,X10,X11)))) != apply(X9,apply(X10,ordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism2(X9,X10,X11)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism6) ).

fof(f629,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f158,f627]) ).

fof(f158,plain,
    ! [X10,X0,X11,X1,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))))))),universal_class),X11),universal_class)))))))
      | ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ),
    inference(forward_demodulation,[],[f157,f108]) ).

fof(f157,plain,
    ! [X10,X0,X11,X1,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))))))))),universal_class),X11),universal_class)))))))
      | ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ),
    inference(forward_demodulation,[],[f156,f108]) ).

fof(f156,plain,
    ! [X10,X0,X11,X1,X9] :
      ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class))))))) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class)))))))
      | ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ),
    inference(forward_demodulation,[],[f155,f108]) ).

fof(f155,plain,
    ! [X10,X0,X11,X1,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class)))))))),universal_class),X9),universal_class)))))))
      | ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ),
    inference(forward_demodulation,[],[f154,f108]) ).

fof(f154,plain,
    ! [X10,X0,X11,X1,X9] :
      ( domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))),element_relation))),universal_class),X9),universal_class)))))))
      | ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10)) ),
    inference(forward_demodulation,[],[f137,f108]) ).

fof(f137,plain,
    ! [X10,X0,X11,X1,X9] :
      ( ~ homomorphism(X9,X10,X11)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(X10))
      | domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation))))),unordered_pair(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation))),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X0,X0),universal_class),X9),universal_class))))),element_relation)),unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X9),universal_class))))),element_relation)))))),universal_class),X11),universal_class))))),element_relation)) = domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))),element_relation)),domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(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)))),universal_class),X10),universal_class))))),element_relation))),universal_class),X9),universal_class))))),element_relation)) ),
    inference(definition_unfolding,[],[f89,f99,f98,f99,f98,f98,f98,f98,f99]) ).

fof(f89,axiom,
    ! [X10,X0,X11,X1,X9] :
      ( ~ homomorphism(X9,X10,X11)
      | ~ member(ordered_pair(X0,X1),domain_of(X10))
      | apply(X11,ordered_pair(apply(X9,X0),apply(X9,X1))) = apply(X9,apply(X10,ordered_pair(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism4) ).

fof(f623,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f140,f621]) ).

fof(f140,plain,
    ! [X2,X3,X0,X6] :
      ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),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(X6,X6))),flip(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(X6,X6))),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition_unfolding,[],[f37,f99,f99,f99,f99,f99,f99]) ).

fof(f37,axiom,
    ! [X2,X3,X0,X6] :
      ( ~ member(ordered_pair(ordered_pair(X3,X2),X6),X0)
      | member(ordered_pair(ordered_pair(X2,X3),X6),flip(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',flip3) ).

fof(f617,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f139,f615]) ).

fof(f139,plain,
    ! [X2,X3,X0,X6] :
      ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),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(X6,X6))),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(X6,X6))),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition_unfolding,[],[f34,f99,f99,f99,f99,f99,f99]) ).

fof(f34,axiom,
    ! [X2,X3,X0,X6] :
      ( ~ member(ordered_pair(ordered_pair(X3,X6),X2),X0)
      | member(ordered_pair(ordered_pair(X2,X3),X6),rotate(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',rotate3) ).

fof(f613,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f127,f611]) ).

fof(f127,plain,
    ! [X2,X3,X0,X6] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),unordered_pair(X6,X6))),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(X6,X6))),flip(X0)) ),
    inference(definition_unfolding,[],[f36,f99,f99,f99,f99]) ).

fof(f36,axiom,
    ! [X2,X3,X0,X6] :
      ( member(ordered_pair(ordered_pair(X3,X2),X6),X0)
      | ~ member(ordered_pair(ordered_pair(X2,X3),X6),flip(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).

fof(f609,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f126,f607]) ).

fof(f126,plain,
    ! [X2,X3,X0,X6] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X6,X6))),unordered_pair(X2,X2))),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(X6,X6))),rotate(X0)) ),
    inference(definition_unfolding,[],[f33,f99,f99,f99,f99]) ).

fof(f33,axiom,
    ! [X2,X3,X0,X6] :
      ( member(ordered_pair(ordered_pair(X3,X6),X2),X0)
      | ~ member(ordered_pair(ordered_pair(X2,X3),X6),rotate(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate2) ).

fof(f603,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f147,f601]) ).

fof(f147,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),successor_relation)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),complement(intersection(complement(X0),complement(unordered_pair(X0,X0))))))),cross_product(universal_class,universal_class)) ),
    inference(equality_resolution,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))) != X1
      | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
    inference(definition_unfolding,[],[f46,f103,f99,f99]) ).

fof(f103,plain,
    ! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
    inference(definition_unfolding,[],[f43,f26,f12]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f43,axiom,
    ! [X0] : union(X0,singleton(X0)) = successor(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).

fof(f46,axiom,
    ! [X0,X1] :
      ( successor(X0) != X1
      | member(ordered_pair(X0,X1),successor_relation)
      | ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation3) ).

fof(f587,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f138,f585]) ).

fof(f138,plain,
    ! [X1,X7,X4,X5] :
      ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
      | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
      | ~ member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class))))) ),
    inference(definition_unfolding,[],[f59,f99,f99,f97,f97,f12]) ).

fof(f59,axiom,
    ! [X1,X7,X4,X5] :
      ( ~ member(ordered_pair(X1,X4),cross_product(universal_class,universal_class))
      | member(ordered_pair(X1,X4),compose(X7,X5))
      | ~ member(X4,image(X7,image(X5,singleton(X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose3) ).

fof(f582,plain,
    ( spl0_75
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f432,f402,f398,f580]) ).

fof(f402,plain,
    ( spl0_47
  <=> ! [X0] :
        ( single_valued_class(X0)
        | ~ subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f432,plain,
    ( ! [X0] :
        ( single_valued_class(X0)
        | ~ function(X0) )
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(resolution,[],[f403,f399]) ).

fof(f403,plain,
    ( ! [X0] :
        ( ~ subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
        | single_valued_class(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f578,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f143,f576]) ).

fof(f143,plain,
    ! [X10,X11,X9] :
      ( ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11)
      | member(unordered_pair(unordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism1(X9,X10,X11)),unordered_pair(not_homomorphism1(X9,X10,X11),unordered_pair(not_homomorphism2(X9,X10,X11),not_homomorphism2(X9,X10,X11)))),domain_of(X10)) ),
    inference(definition_unfolding,[],[f90,f99]) ).

fof(f90,axiom,
    ! [X10,X11,X9] :
      ( ~ operation(X10)
      | ~ operation(X11)
      | ~ compatible(X9,X10,X11)
      | homomorphism(X9,X10,X11)
      | member(ordered_pair(not_homomorphism1(X9,X10,X11),not_homomorphism2(X9,X10,X11)),domain_of(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism5) ).

fof(f574,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f125,f572]) ).

fof(f125,plain,
    ! [X1,X7,X4,X5] :
      ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))),compose(X7,X5))
      | member(X4,domain_of(domain_of(flip(cross_product(intersection(cross_product(domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),X5),universal_class)))),universal_class),X7),universal_class))))) ),
    inference(definition_unfolding,[],[f58,f99,f97,f97,f12]) ).

fof(f58,axiom,
    ! [X1,X7,X4,X5] :
      ( ~ member(ordered_pair(X1,X4),compose(X7,X5))
      | member(X4,image(X7,image(X5,singleton(X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose2) ).

fof(f569,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f133,f567]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
    inference(definition_unfolding,[],[f20,f99,f99]) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(ordered_pair(X0,X1),element_relation)
      | ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation3) ).

fof(f559,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f153,f557]) ).

fof(f153,plain,
    ! [X1] :
      ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),X1)
      | ~ member(X1,universal_class)
      | null_class = X1 ),
    inference(forward_demodulation,[],[f152,f108]) ).

fof(f152,plain,
    ! [X1] :
      ( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),choice),universal_class))))))),X1)
      | ~ member(X1,universal_class)
      | null_class = X1 ),
    inference(forward_demodulation,[],[f134,f108]) ).

fof(f134,plain,
    ! [X1] :
      ( ~ member(X1,universal_class)
      | null_class = X1
      | member(domain_of(intersection(cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(X1,X1),universal_class),choice),universal_class))))),element_relation)),X1) ),
    inference(definition_unfolding,[],[f70,f98]) ).

fof(f70,axiom,
    ! [X1] :
      ( ~ member(X1,universal_class)
      | null_class = X1
      | member(apply(choice,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice2) ).

fof(f555,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f141,f553]) ).

fof(f553,plain,
    ( spl0_70
  <=> ! [X8] :
        ( ~ function(X8)
        | operation(X8)
        | ~ subclass(domain_of(domain_of(flip(cross_product(X8,universal_class)))),domain_of(domain_of(X8)))
        | domain_of(X8) != cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f141,plain,
    ! [X8] :
      ( ~ function(X8)
      | operation(X8)
      | ~ subclass(domain_of(domain_of(flip(cross_product(X8,universal_class)))),domain_of(domain_of(X8)))
      | domain_of(X8) != cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ),
    inference(definition_unfolding,[],[f81,f96]) ).

fof(f81,axiom,
    ! [X8] :
      ( ~ function(X8)
      | operation(X8)
      | ~ subclass(range_of(X8),domain_of(domain_of(X8)))
      | domain_of(X8) != cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation4) ).

fof(f550,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f142,f548]) ).

fof(f142,plain,
    ! [X10,X11,X9] :
      ( ~ function(X9)
      | compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) != domain_of(X9)
      | ~ subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) ),
    inference(definition_unfolding,[],[f85,f96]) ).

fof(f85,axiom,
    ! [X10,X11,X9] :
      ( ~ function(X9)
      | compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) != domain_of(X9)
      | ~ subclass(range_of(X9),domain_of(domain_of(X11))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible4) ).

fof(f542,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f124,f540]) ).

fof(f124,plain,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ),
    inference(definition_unfolding,[],[f17,f99]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | ordered_pair(first(X4),second(X4)) = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f538,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f123,f536]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))) = X1
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ),
    inference(definition_unfolding,[],[f45,f103,f99]) ).

fof(f45,axiom,
    ! [X0,X1] :
      ( successor(X0) = X1
      | ~ member(ordered_pair(X0,X1),successor_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation2) ).

fof(f527,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f132,f525]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,X0)
      | ~ member(X3,X1)
      | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f16,f99]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,X0)
      | ~ member(X3,X1)
      | member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).

fof(f523,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f109,f520]) ).

fof(f109,plain,
    subset_relation = intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))),
    inference(definition_unfolding,[],[f74,f38]) ).

fof(f74,axiom,
    intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_relation) ).

fof(f509,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f151,f507]) ).

fof(f151,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) ),
    inference(forward_demodulation,[],[f130,f108]) ).

fof(f130,plain,
    ! [X0] :
      ( inductive(X0)
      | ~ member(null_class,X0)
      | ~ subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),successor_relation),universal_class)))),X0) ),
    inference(definition_unfolding,[],[f49,f97]) ).

fof(f49,axiom,
    ! [X0] :
      ( inductive(X0)
      | ~ member(null_class,X0)
      | ~ subclass(image(successor_relation,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive3) ).

fof(f505,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f149,f503]) ).

fof(f149,plain,
    ! [X2] :
      ( member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X2),universal_class)),universal_class))))),universal_class)
      | ~ member(X2,universal_class) ),
    inference(forward_demodulation,[],[f116,f108]) ).

fof(f116,plain,
    ! [X2] :
      ( ~ member(X2,universal_class)
      | member(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(X2),universal_class),element_relation),universal_class))))),universal_class) ),
    inference(definition_unfolding,[],[f56,f104]) ).

fof(f104,plain,
    ! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(X0),universal_class),element_relation),universal_class))))),
    inference(definition_unfolding,[],[f55,f97]) ).

fof(f55,axiom,
    ! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_definition) ).

fof(f56,axiom,
    ! [X2] :
      ( ~ member(X2,universal_class)
      | member(power_class(X2),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class2) ).

fof(f501,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f129,f499]) ).

fof(f129,plain,
    ! [X0,X8] :
      ( ~ function(X8)
      | ~ member(X0,universal_class)
      | member(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X8),universal_class)))),universal_class) ),
    inference(definition_unfolding,[],[f65,f97]) ).

fof(f65,axiom,
    ! [X0,X8] :
      ( ~ function(X8)
      | ~ member(X0,universal_class)
      | member(image(X8,X0),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replacement) ).

fof(f492,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f135,f490]) ).

fof(f135,plain,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,domain_of(X0))
      | null_class = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ),
    inference(definition_unfolding,[],[f31,f29,f12]) ).

fof(f31,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,domain_of(X0))
      | restrict(X0,singleton(X4),universal_class) = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f488,plain,
    ( ~ spl0_59
    | spl0_60
    | ~ spl0_20
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f450,f421,f253,f485,f481]) ).

fof(f481,plain,
    ( spl0_59
  <=> function(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f421,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(u,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f450,plain,
    ( member(u,cross_product(universal_class,universal_class))
    | ~ function(universal_class)
    | ~ spl0_20
    | ~ spl0_49 ),
    inference(resolution,[],[f422,f254]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(u,X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f479,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f131,f477]) ).

fof(f131,plain,
    ! [X8] :
      ( function(X8)
      | ~ subclass(X8,cross_product(universal_class,universal_class))
      | ~ subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation) ),
    inference(definition_unfolding,[],[f64,f38]) ).

fof(f64,axiom,
    ! [X8] :
      ( function(X8)
      | ~ subclass(X8,cross_product(universal_class,universal_class))
      | ~ subclass(compose(X8,inverse(X8)),identity_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function3) ).

fof(f475,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f120,f473]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( member(X2,X0)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f14,f99]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X2,X0)
      | ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).

fof(f471,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f119,f469]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f15,f99]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).

fof(f466,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f148,f464]) ).

fof(f148,plain,
    ! [X0] :
      ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
      | ~ inductive(X0) ),
    inference(forward_demodulation,[],[f112,f108]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | subclass(domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),successor_relation),universal_class)))),X0) ),
    inference(definition_unfolding,[],[f48,f97]) ).

fof(f48,axiom,
    ! [X0] :
      ( ~ inductive(X0)
      | subclass(image(successor_relation,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive2) ).

fof(f462,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f122,f460]) ).

fof(f460,plain,
    ( spl0_54
  <=> ! [X9,X11,X10] :
        ( ~ compatible(X9,X10,X11)
        | subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f122,plain,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) ),
    inference(definition_unfolding,[],[f84,f96]) ).

fof(f84,axiom,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | subclass(range_of(X9),domain_of(domain_of(X11))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible3) ).

fof(f458,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f118,f456]) ).

fof(f118,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,[],[f19,f99]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(ordered_pair(X0,X1),element_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).

fof(f447,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f121,f445]) ).

fof(f121,plain,
    ! [X0,X4] :
      ( ~ member(X4,domain_of(X0))
      | null_class != intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ),
    inference(definition_unfolding,[],[f30,f29,f12]) ).

fof(f30,axiom,
    ! [X0,X4] :
      ( ~ member(X4,domain_of(X0))
      | restrict(X0,singleton(X4),universal_class) != null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f442,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f113,f440]) ).

fof(f113,plain,
    ! [X8] :
      ( ~ operation(X8)
      | subclass(domain_of(domain_of(flip(cross_product(X8,universal_class)))),domain_of(domain_of(X8))) ),
    inference(definition_unfolding,[],[f80,f96]) ).

fof(f80,axiom,
    ! [X8] :
      ( ~ operation(X8)
      | subclass(range_of(X8),domain_of(domain_of(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation3) ).

fof(f438,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f79,f436]) ).

fof(f436,plain,
    ( spl0_50
  <=> ! [X8] :
        ( ~ operation(X8)
        | domain_of(X8) = cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f79,axiom,
    ! [X8] :
      ( ~ operation(X8)
      | domain_of(X8) = cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation2) ).

fof(f423,plain,
    ( spl0_49
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f343,f318,f170,f421]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(u,X0) )
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f172]) ).

fof(f408,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f150,f406]) ).

fof(f150,plain,
    ! [X0] :
      ( member(domain_of(intersection(element_relation,cross_product(universal_class,X0))),universal_class)
      | ~ member(X0,universal_class) ),
    inference(forward_demodulation,[],[f117,f108]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(domain_of(intersection(cross_product(universal_class,X0),element_relation)),universal_class) ),
    inference(definition_unfolding,[],[f54,f95]) ).

fof(f54,axiom,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(sum_class(X0),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class2) ).

fof(f404,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f115,f402]) ).

fof(f115,plain,
    ! [X0] :
      ( single_valued_class(X0)
      | ~ subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation) ),
    inference(definition_unfolding,[],[f61,f38]) ).

fof(f61,axiom,
    ! [X0] :
      ( single_valued_class(X0)
      | ~ subclass(compose(X0,inverse(X0)),identity_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_valued_class2) ).

fof(f400,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f114,f398]) ).

fof(f114,plain,
    ! [X8] :
      ( ~ function(X8)
      | subclass(compose(X8,domain_of(flip(cross_product(X8,universal_class)))),identity_relation) ),
    inference(definition_unfolding,[],[f63,f38]) ).

fof(f63,axiom,
    ! [X8] :
      ( ~ function(X8)
      | subclass(compose(X8,inverse(X8)),identity_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function2) ).

fof(f396,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f110,f394]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ single_valued_class(X0)
      | subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation) ),
    inference(definition_unfolding,[],[f60,f38]) ).

fof(f60,axiom,
    ! [X0] :
      ( ~ single_valued_class(X0)
      | subclass(compose(X0,inverse(X0)),identity_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_valued_class1) ).

fof(f392,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f108,f390]) ).

fof(f388,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f23,f386]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,X1)
      | member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f384,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f8,f382]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( X1 = X2
      | X0 = X2
      | ~ member(X2,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f375,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f128,f373]) ).

fof(f373,plain,
    ( spl0_41
  <=> ! [X8] :
        ( ~ function(X8)
        | one_to_one(X8)
        | ~ function(domain_of(flip(cross_product(X8,universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f128,plain,
    ! [X8] :
      ( ~ function(X8)
      | one_to_one(X8)
      | ~ function(domain_of(flip(cross_product(X8,universal_class)))) ),
    inference(definition_unfolding,[],[f73,f38]) ).

fof(f73,axiom,
    ! [X8] :
      ( ~ function(X8)
      | one_to_one(X8)
      | ~ function(inverse(X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one3) ).

fof(f371,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f83,f369]) ).

fof(f369,plain,
    ( spl0_40
  <=> ! [X9,X11,X10] :
        ( ~ compatible(X9,X10,X11)
        | domain_of(domain_of(X10)) = domain_of(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f83,axiom,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) = domain_of(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible2) ).

fof(f367,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f25,f365]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,X0)
      | member(X4,complement(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f342,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f107,f339]) ).

fof(f107,plain,
    identity_relation = intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation),
    inference(definition_unfolding,[],[f75,f38]) ).

fof(f75,axiom,
    identity_relation = intersection(inverse(subset_relation),subset_relation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_relation) ).

fof(f337,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f310,f276,f228,f334,f330]) ).

fof(f334,plain,
    ( spl0_37
  <=> inductive(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f310,plain,
    ( ~ inductive(null_class)
    | ~ member(null_class,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(superposition,[],[f277,f230]) ).

fof(f328,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f67,f326]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = X0
      | null_class = intersection(X0,regular(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).

fof(f324,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f7,f322]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f320,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f1,f318]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f306,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f111,f304]) ).

fof(f111,plain,
    ! [X8] :
      ( ~ one_to_one(X8)
      | function(domain_of(flip(cross_product(X8,universal_class)))) ),
    inference(definition_unfolding,[],[f72,f38]) ).

fof(f72,axiom,
    ! [X8] :
      ( ~ one_to_one(X8)
      | function(inverse(X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one2) ).

fof(f302,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f88,f300]) ).

fof(f300,plain,
    ( spl0_31
  <=> ! [X9,X11,X10] :
        ( ~ homomorphism(X9,X10,X11)
        | compatible(X9,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f88,axiom,
    ! [X10,X11,X9] :
      ( ~ homomorphism(X9,X10,X11)
      | compatible(X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism3) ).

fof(f298,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f35,f296]) ).

fof(f35,axiom,
    ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip1) ).

fof(f294,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f32,f292]) ).

fof(f32,axiom,
    ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate1) ).

fof(f290,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f22,f288]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( member(X4,X1)
      | ~ member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f286,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f21,f284]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( member(X4,X0)
      | ~ member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f282,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f10,f280]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ member(X1,universal_class)
      | member(X1,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

fof(f278,plain,
    ( spl0_25
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f260,f245,f220,f276]) ).

fof(f260,plain,
    ( ! [X0] :
        ( ~ member(null_class,X0)
        | ~ inductive(complement(X0)) )
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(resolution,[],[f246,f221]) ).

fof(f274,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f9,f272]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).

fof(f270,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f3,f268]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f266,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f2,f264]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f259,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f66,f257]) ).

fof(f66,axiom,
    ! [X0] :
      ( null_class = X0
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f255,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f62,f253]) ).

fof(f62,axiom,
    ! [X8] :
      ( ~ function(X8)
      | subclass(X8,cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function1) ).

fof(f251,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f57,f249]) ).

fof(f57,axiom,
    ! [X7,X5] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose1) ).

fof(f247,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f24,f245]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,complement(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f243,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f87,f241]) ).

fof(f241,plain,
    ( spl0_17
  <=> ! [X9,X11,X10] :
        ( operation(X11)
        | ~ homomorphism(X9,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f87,axiom,
    ! [X10,X11,X9] :
      ( operation(X11)
      | ~ homomorphism(X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism2) ).

fof(f239,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f86,f237]) ).

fof(f237,plain,
    ( spl0_16
  <=> ! [X9,X11,X10] :
        ( operation(X10)
        | ~ homomorphism(X9,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f86,axiom,
    ! [X10,X11,X9] :
      ( operation(X10)
      | ~ homomorphism(X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism1) ).

fof(f235,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f82,f233]) ).

fof(f233,plain,
    ( spl0_15
  <=> ! [X9,X11,X10] :
        ( function(X9)
        | ~ compatible(X9,X10,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f82,axiom,
    ! [X10,X11,X9] :
      ( function(X9)
      | ~ compatible(X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible1) ).

fof(f231,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f106,f228]) ).

fof(f106,plain,
    null_class = complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
    inference(definition_unfolding,[],[f94,f100,f100,f100]) ).

fof(f100,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f92,f26,f12]) ).

fof(f92,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).

fof(f94,axiom,
    null_class = set_builder(u,set_builder(y,set_builder(z,null_class))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_2) ).

fof(f226,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f51,f224]) ).

fof(f51,axiom,
    ! [X1] :
      ( ~ inductive(X1)
      | subclass(omega,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive2) ).

fof(f222,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f47,f220]) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ inductive(X0)
      | member(null_class,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).

fof(f218,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f44,f215]) ).

fof(f44,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation1) ).

fof(f213,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f18,f210]) ).

fof(f18,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation1) ).

fof(f208,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f11,f206]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f204,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f78,f202]) ).

fof(f202,plain,
    ( spl0_8
  <=> ! [X8] :
        ( ~ operation(X8)
        | function(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f78,axiom,
    ! [X8] :
      ( ~ operation(X8)
      | function(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation1) ).

fof(f200,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f71,f198]) ).

fof(f198,plain,
    ( spl0_7
  <=> ! [X8] :
        ( ~ one_to_one(X8)
        | function(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f71,axiom,
    ! [X8] :
      ( ~ one_to_one(X8)
      | function(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one1) ).

fof(f196,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f145,f194]) ).

fof(f145,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).

fof(f192,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f52,f189]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_in_universal) ).

fof(f187,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f4,f185]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f183,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f69,f180]) ).

fof(f69,axiom,
    function(choice),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice1) ).

fof(f178,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f50,f175]) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).

fof(f173,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f93,f170]) ).

fof(f93,axiom,
    member(u,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SET134-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.13/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 12:48:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  % (19001)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (19006)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.39  % (19004)WARNING: value z3 for option sas not known
% 0.16/0.39  % (19002)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39  % (19003)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39  % (19005)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39  % (19004)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39  % (19007)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.39  % (19008)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.42  TRYING [1]
% 0.16/0.42  TRYING [2]
% 0.23/0.49  TRYING [3]
% 0.23/0.55  TRYING [1]
% 1.38/0.55  TRYING [2]
% 1.55/0.62  TRYING [4]
% 1.95/0.64  TRYING [3]
% 3.67/0.91  TRYING [5]
% 6.21/1.25  TRYING [4]
% 7.76/1.49  TRYING [1]
% 8.00/1.49  TRYING [2]
% 8.00/1.51  TRYING [3]
% 8.32/1.55  TRYING [4]
% 8.96/1.68  TRYING [5]
% 10.19/1.89  TRYING [6]
% 12.42/2.16  TRYING [6]
% 22.78/3.61  TRYING [7]
% 57.34/8.56  TRYING [8]
% 75.19/11.13  TRYING [7]
% 83.28/12.28  TRYING [5]
% 140.07/20.35  % (19006)First to succeed.
% 141.82/20.59  % (19006)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19001"
% 141.82/20.60  % (19006)Refutation found. Thanks to Tanya!
% 141.82/20.60  % SZS status Unsatisfiable for theBenchmark
% 141.82/20.60  % SZS output start Proof for theBenchmark
% See solution above
% 142.18/20.66  % (19006)------------------------------
% 142.18/20.66  % (19006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 142.18/20.66  % (19006)Termination reason: Refutation
% 142.18/20.66  
% 142.18/20.66  % (19006)Memory used [KB]: 69727
% 142.18/20.66  % (19006)Time elapsed: 20.196 s
% 142.18/20.66  % (19006)Instructions burned: 45663 (million)
% 142.18/20.66  % (19001)Success in time 20.176 s
%------------------------------------------------------------------------------