%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN010-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:11:56 EDT 2024

% Result   : Unsatisfiable 9.47s 1.70s
% Output   : Refutation 9.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      : 1018
% Syntax   : Number of formulae    : 3921 (  47 unt;   0 def)
%            Number of atoms       : 11544 (2924 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 14253 (6630   ~;6628   |;   0   &)
%                                         ( 995 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  997 ( 995 usr; 996 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   : 7466 (7466   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f84433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f32,f36,f41,f46,f51,f55,f59,f63,f67,f71,f75,f79,f83,f87,f91,f129,f140,f144,f148,f188,f192,f196,f336,f442,f446,f450,f454,f469,f473,f477,f481,f497,f501,f505,f509,f546,f584,f588,f608,f612,f616,f654,f658,f662,f677,f682,f686,f690,f718,f722,f726,f730,f734,f740,f806,f822,f826,f868,f872,f876,f880,f884,f888,f892,f896,f900,f1058,f1062,f1069,f1073,f1175,f1179,f1183,f1187,f1191,f1195,f1394,f1398,f1402,f1406,f1410,f1533,f1537,f1541,f1545,f1549,f1553,f1557,f1561,f1760,f1764,f1768,f1772,f1776,f1780,f1971,f1975,f1979,f1983,f2117,f2121,f2125,f2129,f2133,f2137,f2352,f2356,f2360,f2364,f2368,f2372,f3181,f3185,f3211,f3215,f3219,f3223,f3227,f3231,f3235,f3239,f3243,f3247,f3263,f3267,f3271,f3275,f4787,f4791,f4795,f4799,f4803,f5233,f5237,f5537,f5760,f5907,f6049,f6056,f6060,f6064,f6082,f6086,f6090,f6318,f6322,f6326,f6330,f6374,f6378,f6383,f6403,f6456,f6460,f6464,f6468,f6472,f6579,f6933,f6937,f7177,f7181,f7185,f7325,f7330,f7335,f7340,f7346,f7351,f7356,f7361,f7592,f7597,f7602,f7607,f7857,f7862,f7866,f7870,f7915,f7920,f7924,f7928,f7932,f7936,f7940,f7944,f7949,f7953,f7957,f7961,f7965,f7969,f7973,f7977,f7981,f7985,f8201,f8317,f8321,f8325,f8329,f8333,f8460,f8464,f8468,f8472,f8476,f8480,f8485,f8489,f8705,f8709,f9050,f9054,f9058,f9062,f9066,f9070,f9257,f9394,f9398,f9501,f9505,f9509,f9566,f9844,f9848,f9852,f9990,f10053,f10136,f10140,f10144,f10148,f10152,f10156,f10160,f10165,f10169,f10173,f10177,f10181,f10185,f10189,f10193,f10197,f10201,f10205,f10211,f10215,f10219,f10223,f10227,f10231,f10235,f10239,f10243,f10247,f10252,f10256,f10260,f10264,f10268,f10272,f10276,f10280,f10284,f10288,f10292,f10654,f10658,f10662,f10666,f10670,f10674,f10678,f10682,f10686,f10690,f10695,f10699,f10703,f10707,f10711,f10715,f10719,f10723,f10727,f10731,f10735,f10813,f10817,f10821,f10825,f10829,f10833,f10837,f10841,f10845,f10849,f10854,f10859,f10863,f10867,f10871,f10875,f10879,f10883,f10887,f10891,f10895,f10899,f10903,f10907,f10911,f10915,f10919,f10923,f10927,f10931,f10935,f11456,f11897,f13454,f14510,f15038,f15305,f15309,f15313,f15317,f15321,f15326,f15330,f15334,f15338,f15342,f15346,f15350,f15354,f15358,f15362,f15366,f15371,f15375,f15379,f15383,f15387,f15391,f15395,f15399,f15403,f15407,f15411,f15416,f15420,f15424,f15428,f15432,f15436,f15440,f15444,f15448,f15452,f15456,f15461,f16390,f17392,f18400,f18896,f18900,f18904,f18908,f18912,f18917,f18921,f18925,f18929,f18933,f18937,f18941,f18945,f18949,f18953,f18957,f18962,f18966,f18970,f18974,f18978,f18982,f18986,f18990,f18994,f18998,f19002,f19007,f19011,f19015,f19019,f19023,f19027,f19031,f19238,f19787,f20493,f21029,f21033,f21037,f21042,f21047,f21051,f21055,f21059,f21063,f21067,f21071,f21075,f21079,f21083,f21126,f21130,f21134,f21138,f21142,f21146,f21150,f21154,f21158,f21162,f21168,f21172,f21176,f21822,f24269,f24287,f24291,f24295,f24299,f24303,f24307,f24311,f24315,f24319,f24323,f24341,f24345,f24349,f24353,f24357,f24361,f24365,f24369,f24373,f24377,f24395,f24399,f24403,f24407,f24411,f24415,f24419,f24423,f24427,f24431,f24449,f24453,f24457,f24461,f24465,f24469,f24473,f24477,f24481,f24485,f24505,f24509,f24513,f24517,f24521,f24525,f24529,f24533,f24537,f24541,f24559,f24563,f24567,f24571,f24575,f27174,f27178,f27182,f27186,f27190,f27194,f27198,f27202,f27206,f27211,f27215,f27219,f27223,f27227,f27231,f27235,f27239,f30127,f30131,f30135,f30139,f30143,f30147,f30151,f30156,f30160,f30164,f30168,f30172,f30176,f30180,f30184,f30188,f30192,f30196,f30882,f31674,f32320,f32395,f32399,f32403,f32407,f32411,f32415,f32419,f32423,f32427,f32431,f32435,f32439,f32443,f33475,f34237,f34241,f34245,f34408,f34502,f34718,f34722,f34726,f34730,f35208,f35367,f35547,f35551,f35555,f35559,f35563,f35567,f35571,f35575,f35579,f35583,f35587,f35591,f35595,f35599,f36538,f39008,f39050,f39054,f40137,f40141,f40145,f40149,f40153,f40157,f40161,f40165,f40169,f40173,f40177,f40181,f40185,f40189,f40193,f40197,f41990,f41994,f41998,f42002,f42006,f42010,f42014,f42018,f42059,f42941,f42961,f42965,f42969,f42973,f42977,f42982,f42986,f42990,f42994,f42998,f43375,f43379,f43383,f43387,f43391,f43395,f43399,f43403,f43407,f43411,f43415,f43419,f43423,f43427,f46200,f46771,f46775,f46779,f46783,f46787,f46791,f46795,f46799,f46803,f50502,f50528,f50532,f50536,f50540,f50544,f50870,f50874,f50879,f50884,f50889,f50894,f50899,f50904,f50909,f50914,f50918,f51655,f51659,f51663,f51668,f52454,f52458,f52462,f52466,f52470,f55329,f55399,f55404,f55409,f55414,f55419,f55424,f55429,f55434,f56185,f56190,f56195,f56199,f56260,f56265,f56270,f56274,f57049,f57053,f57057,f57061,f57065,f57069,f57073,f57077,f57081,f57085,f57869,f57873,f57877,f57881,f57885,f57889,f57893,f57897,f57901,f57905,f57909,f57913,f57917,f57921,f57925,f57929,f57933,f57937,f57941,f57945,f57949,f57953,f57957,f57961,f57965,f57969,f57973,f57977,f57981,f57985,f57989,f57993,f58802,f58806,f58810,f58814,f58818,f58822,f58826,f58830,f58834,f58838,f60089,f60093,f60097,f60101,f60105,f60109,f60113,f60117,f60121,f60125,f60130,f60134,f60138,f60142,f60146,f60150,f60154,f60158,f60162,f60166,f60170,f60926,f60930,f60934,f60938,f60942,f60946,f61321,f63011,f64107,f65754,f67615,f67619,f67623,f67627,f67631,f67635,f67641,f67645,f67649,f67653,f67657,f67661,f67665,f67669,f67673,f67677,f67682,f67686,f67690,f67694,f72001,f72006,f72011,f72016,f72020,f72024,f72028,f72032,f72037,f72041,f72045,f72049,f72053,f72057,f72061,f72065,f72069,f72073,f72077,f72914,f72918,f72922,f72926,f72930,f72935,f72970,f72974,f72978,f72983,f72987,f72991,f72995,f72999,f73003,f73007,f73011,f73015,f73019,f73023,f73260,f73264,f73268,f73272,f73277,f73342,f73346,f73350,f73354,f73359,f73363,f73367,f73371,f73375,f73379,f73383,f73387,f73391,f73395,f73399,f74285,f74289,f74293,f74297,f74302,f74306,f74310,f74315,f74319,f74323,f74327,f74331,f74335,f75855,f76267,f77611,f77615,f77619,f77623,f77627,f77631,f77635,f77639,f77643,f77647,f77651,f77655,f77659,f77663,f77667,f77671,f77675,f77679,f77683,f77687,f78482,f78486,f78490,f78494,f78498,f80480,f81828,f81833,f81837,f81841,f81845,f81849,f81853,f81858,f81862,f81866,f81871,f81876,f81881,f81885,f81890,f81895,f81899,f81903,f81907,f81911,f81915,f81919,f81923,f81928,f81932,f81936,f81940,f81944,f81948,f81952,f81956,f81960,f81964,f81968,f82005,f82009,f82013,f82017,f82021,f82025,f82029,f82033,f82037,f82042,f82049,f82054,f82060,f82064,f82068,f82072,f82077,f82082,f82087,f82093,f82098,f82102,f82106,f82110,f82114,f82121,f82126,f82131,f82135,f82142,f82147,f83045,f83049,f83053,f83057,f83061,f83065,f83069,f83073,f83077,f83081,f83086,f83090,f83094,f83098,f83102,f83106,f83110,f83114,f83118,f83122,f83126,f83396,f83400,f83404,f83408,f83412,f83416,f83420,f83424,f83428,f83432,f83437,f83441,f83445,f83449,f83453,f83457,f83461,f83465,f83469,f83473,f83477,f84385,f84390,f84395,f84400,f84405,f84410,f84415,f84420,f84425,f84430,f84432]) ).

fof(f84432,plain,
    ( spl0_1
    | ~ spl0_11
    | ~ spl0_152
    | ~ spl0_975 ),
    inference(avatar_split_clause,[],[f83809,f83434,f6380,f69,f25]) ).

fof(f25,plain,
    ( spl0_1
  <=> idQa = idQa_Q__idQ_idQa ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f69,plain,
    ( spl0_11
  <=> ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f6380,plain,
    ( spl0_152
  <=> idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa_Q__idQ_idQa,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f83434,plain,
    ( spl0_975
  <=> true = less_equal(idQa,idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).

fof(f83809,plain,
    ( idQa = idQa_Q__idQ_idQa
    | ~ spl0_11
    | ~ spl0_152
    | ~ spl0_975 ),
    inference(forward_demodulation,[],[f83478,f70]) ).

fof(f70,plain,
    ( ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f83478,plain,
    ( idQa = ifeq2(true,true,idQa_Q__idQ_idQa,idQa)
    | ~ spl0_152
    | ~ spl0_975 ),
    inference(superposition,[],[f6382,f83436]) ).

fof(f83436,plain,
    ( true = less_equal(idQa,idQa_Q__idQ_idQa)
    | ~ spl0_975 ),
    inference(avatar_component_clause,[],[f83434]) ).

fof(f6382,plain,
    ( idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa_Q__idQ_idQa,idQa)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f6380]) ).

fof(f84430,plain,
    ( spl0_995
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(avatar_split_clause,[],[f19838,f18955,f77,f73,f84428]) ).

fof(f84428,plain,
    ( spl0_995
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(divide(identity,X0),a,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).

fof(f73,plain,
    ( spl0_12
  <=> ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f77,plain,
    ( spl0_13
  <=> ! [X4,X3] : true = quotient(X3,X4,divide(X3,X4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f18955,plain,
    ( spl0_386
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f19838,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(divide(identity,X0),a,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(forward_demodulation,[],[f19803,f74]) ).

fof(f74,plain,
    ( ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f19803,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(divide(identity,X0),a,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(superposition,[],[f18956,f78]) ).

fof(f78,plain,
    ( ! [X3,X4] : true = quotient(X3,X4,divide(X3,X4))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f18956,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_386 ),
    inference(avatar_component_clause,[],[f18955]) ).

fof(f84425,plain,
    ( spl0_994
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(avatar_split_clause,[],[f19774,f18951,f77,f73,f84423]) ).

fof(f84423,plain,
    ( spl0_994
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,divide(divide(identity,X0),a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).

fof(f18951,plain,
    ( spl0_385
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,a)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f19774,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,divide(divide(identity,X0),a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(forward_demodulation,[],[f19739,f74]) ).

fof(f19739,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X0,a,X1),true,ifeq(true,true,less_equal(X2,divide(divide(identity,X0),a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(superposition,[],[f18952,f78]) ).

fof(f18952,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,a)),true),true),true)
    | ~ spl0_385 ),
    inference(avatar_component_clause,[],[f18951]) ).

fof(f84420,plain,
    ( spl0_993
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(avatar_split_clause,[],[f19761,f18951,f77,f73,f84418]) ).

fof(f84418,plain,
    ( spl0_993
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,divide(X2,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).

fof(f19761,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,divide(X2,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(forward_demodulation,[],[f19730,f74]) ).

fof(f19730,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,divide(X2,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_385 ),
    inference(superposition,[],[f18952,f78]) ).

fof(f84415,plain,
    ( spl0_992
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f19638,f18943,f77,f73,f84413]) ).

fof(f84413,plain,
    ( spl0_992
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).

fof(f18943,plain,
    ( spl0_383
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f19638,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_383 ),
    inference(forward_demodulation,[],[f19612,f74]) ).

fof(f19612,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_13
    | ~ spl0_383 ),
    inference(superposition,[],[f18944,f78]) ).

fof(f18944,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_383 ),
    inference(avatar_component_clause,[],[f18943]) ).

fof(f84410,plain,
    ( spl0_991
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f19588,f18939,f77,f73,f84408]) ).

fof(f84408,plain,
    ( spl0_991
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,divide(divide(X0,idQa),idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).

fof(f18939,plain,
    ( spl0_382
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f19588,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,divide(divide(X0,idQa),idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(forward_demodulation,[],[f19564,f74]) ).

fof(f19564,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,less_equal(X2,divide(divide(X0,idQa),idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(superposition,[],[f18940,f78]) ).

fof(f18940,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_382 ),
    inference(avatar_component_clause,[],[f18939]) ).

fof(f84405,plain,
    ( spl0_990
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f19583,f18939,f77,f73,f84403]) ).

fof(f84403,plain,
    ( spl0_990
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,divide(X2,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).

fof(f19583,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,divide(X2,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(forward_demodulation,[],[f19560,f74]) ).

fof(f19560,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,divide(X2,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_382 ),
    inference(superposition,[],[f18940,f78]) ).

fof(f84400,plain,
    ( spl0_989
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f19471,f18931,f77,f73,f84398]) ).

fof(f84398,plain,
    ( spl0_989
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).

fof(f18931,plain,
    ( spl0_380
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f19471,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_380 ),
    inference(forward_demodulation,[],[f19446,f74]) ).

fof(f19446,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_380 ),
    inference(superposition,[],[f18932,f78]) ).

fof(f18932,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true)
    | ~ spl0_380 ),
    inference(avatar_component_clause,[],[f18931]) ).

fof(f84395,plain,
    ( spl0_988
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f19356,f18923,f77,f73,f84393]) ).

fof(f84393,plain,
    ( spl0_988
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).

fof(f18923,plain,
    ( spl0_378
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,a)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f19356,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_378 ),
    inference(forward_demodulation,[],[f19328,f74]) ).

fof(f19328,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,divide(X2,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_378 ),
    inference(superposition,[],[f18924,f78]) ).

fof(f18924,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,a)),true),true),true)
    | ~ spl0_378 ),
    inference(avatar_component_clause,[],[f18923]) ).

fof(f84390,plain,
    ( spl0_987
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f19265,f18910,f77,f73,f84388]) ).

fof(f84388,plain,
    ( spl0_987
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),divide(X1,idQ_idQa),X2),true,ifeq(quotient(X0,X1,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).

fof(f18910,plain,
    ( spl0_375
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(X0,idQ_idQa),X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,X0,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f19265,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),divide(X1,idQ_idQa),X2),true,ifeq(quotient(X0,X1,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_375 ),
    inference(forward_demodulation,[],[f19246,f74]) ).

fof(f19246,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),divide(X1,idQ_idQa),X2),true,ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_375 ),
    inference(superposition,[],[f18911,f78]) ).

fof(f18911,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQ_idQa),X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,X0,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_375 ),
    inference(avatar_component_clause,[],[f18910]) ).

fof(f84385,plain,
    ( spl0_986
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f19165,f18902,f77,f73,f84383]) ).

fof(f84383,plain,
    ( spl0_986
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),divide(X1,idQa),X2),true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).

fof(f18902,plain,
    ( spl0_373
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(X0,idQa),X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f19165,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),divide(X1,idQa),X2),true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_373 ),
    inference(forward_demodulation,[],[f19144,f74]) ).

fof(f19144,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),divide(X1,idQa),X2),true,ifeq(true,true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_373 ),
    inference(superposition,[],[f18903,f78]) ).

fof(f18903,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQa),X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_373 ),
    inference(avatar_component_clause,[],[f18902]) ).

fof(f83477,plain,
    ( spl0_985
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f19062,f18894,f77,f73,f83475]) ).

fof(f83475,plain,
    ( spl0_985
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),divide(X1,a),X2),true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).

fof(f18894,plain,
    ( spl0_371
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(X0,a),X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f19062,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),divide(X1,a),X2),true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_371 ),
    inference(forward_demodulation,[],[f19040,f74]) ).

fof(f19040,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),divide(X1,a),X2),true,ifeq(true,true,ifeq(quotient(X0,X1,identity),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_371 ),
    inference(superposition,[],[f18895,f78]) ).

fof(f18895,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,a),X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_371 ),
    inference(avatar_component_clause,[],[f18894]) ).

fof(f83473,plain,
    ( spl0_984
    | ~ spl0_6
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f18684,f15450,f48,f83471]) ).

fof(f83471,plain,
    ( spl0_984
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(zero,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).

fof(f48,plain,
    ( spl0_6
  <=> true = quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f15450,plain,
    ( spl0_365
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f18684,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(zero,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_365 ),
    inference(superposition,[],[f15451,f50]) ).

fof(f50,plain,
    ( true = quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f15451,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_365 ),
    inference(avatar_component_clause,[],[f15450]) ).

fof(f83469,plain,
    ( spl0_983
    | ~ spl0_5
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f18683,f15450,f43,f83467]) ).

fof(f83467,plain,
    ( spl0_983
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).

fof(f43,plain,
    ( spl0_5
  <=> true = quotient(identity,idQa,idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f18683,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_365 ),
    inference(superposition,[],[f15451,f45]) ).

fof(f45,plain,
    ( true = quotient(identity,idQa,idQ_idQa)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f83465,plain,
    ( spl0_982
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f18682,f15450,f38,f83463]) ).

fof(f83463,plain,
    ( spl0_982
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,zero,X0),true,ifeq(quotient(zero,zero,a),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).

fof(f38,plain,
    ( spl0_4
  <=> true = quotient(identity,a,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f18682,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,zero,X0),true,ifeq(quotient(zero,zero,a),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(superposition,[],[f15451,f40]) ).

fof(f40,plain,
    ( true = quotient(identity,a,idQa)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f83461,plain,
    ( spl0_981
    | ~ spl0_6
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f18585,f15446,f48,f83459]) ).

fof(f83459,plain,
    ( spl0_981
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).

fof(f15446,plain,
    ( spl0_364
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f18585,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_364 ),
    inference(superposition,[],[f15447,f50]) ).

fof(f15447,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_364 ),
    inference(avatar_component_clause,[],[f15446]) ).

fof(f83457,plain,
    ( spl0_980
    | ~ spl0_6
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f18509,f15442,f48,f83455]) ).

fof(f83455,plain,
    ( spl0_980
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).

fof(f15442,plain,
    ( spl0_363
  <=> ! [X2,X0,X1,X3] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(identity,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f18509,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_363 ),
    inference(superposition,[],[f15443,f50]) ).

fof(f15443,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(identity,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_363 ),
    inference(avatar_component_clause,[],[f15442]) ).

fof(f83453,plain,
    ( spl0_979
    | ~ spl0_5
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f18508,f15442,f43,f83451]) ).

fof(f83451,plain,
    ( spl0_979
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).

fof(f18508,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_363 ),
    inference(superposition,[],[f15443,f45]) ).

fof(f83449,plain,
    ( spl0_978
    | ~ spl0_4
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f18507,f15442,f38,f83447]) ).

fof(f83447,plain,
    ( spl0_978
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,a),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).

fof(f18507,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(identity,zero,a),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_363 ),
    inference(superposition,[],[f15443,f40]) ).

fof(f83445,plain,
    ( spl0_977
    | ~ spl0_6
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f17903,f15418,f48,f83443]) ).

fof(f83443,plain,
    ( spl0_977
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).

fof(f15418,plain,
    ( spl0_357
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f17903,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_357 ),
    inference(superposition,[],[f15419,f50]) ).

fof(f15419,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_357 ),
    inference(avatar_component_clause,[],[f15418]) ).

fof(f83441,plain,
    ( spl0_976
    | ~ spl0_5
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f17902,f15418,f43,f83439]) ).

fof(f83439,plain,
    ( spl0_976
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).

fof(f17902,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_357 ),
    inference(superposition,[],[f15419,f45]) ).

fof(f83437,plain,
    ( spl0_975
    | ~ spl0_775
    | ~ spl0_954 ),
    inference(avatar_split_clause,[],[f83128,f83083,f67679,f83434]) ).

fof(f67679,plain,
    ( spl0_775
  <=> true = less_equal(divide(idQa,a),idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).

fof(f83083,plain,
    ( spl0_954
  <=> idQa = divide(idQa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).

fof(f83128,plain,
    ( true = less_equal(idQa,idQa_Q__idQ_idQa)
    | ~ spl0_775
    | ~ spl0_954 ),
    inference(superposition,[],[f67681,f83085]) ).

fof(f83085,plain,
    ( idQa = divide(idQa,a)
    | ~ spl0_954 ),
    inference(avatar_component_clause,[],[f83083]) ).

fof(f67681,plain,
    ( true = less_equal(divide(idQa,a),idQa_Q__idQ_idQa)
    | ~ spl0_775 ),
    inference(avatar_component_clause,[],[f67679]) ).

fof(f83432,plain,
    ( spl0_974
    | ~ spl0_4
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f17901,f15418,f38,f83430]) ).

fof(f83430,plain,
    ( spl0_974
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).

fof(f17901,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_357 ),
    inference(superposition,[],[f15419,f40]) ).

fof(f83428,plain,
    ( spl0_973
    | ~ spl0_6
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f17802,f15409,f48,f83426]) ).

fof(f83426,plain,
    ( spl0_973
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).

fof(f15409,plain,
    ( spl0_355
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f17802,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_355 ),
    inference(superposition,[],[f15410,f50]) ).

fof(f15410,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_355 ),
    inference(avatar_component_clause,[],[f15409]) ).

fof(f83424,plain,
    ( spl0_972
    | ~ spl0_5
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f17801,f15409,f43,f83422]) ).

fof(f83422,plain,
    ( spl0_972
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).

fof(f17801,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_355 ),
    inference(superposition,[],[f15410,f45]) ).

fof(f83420,plain,
    ( spl0_971
    | ~ spl0_4
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f17800,f15409,f38,f83418]) ).

fof(f83418,plain,
    ( spl0_971
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,zero,identity),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).

fof(f17800,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,zero,identity),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_355 ),
    inference(superposition,[],[f15410,f40]) ).

fof(f83416,plain,
    ( spl0_970
    | ~ spl0_6
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17607,f15401,f48,f83414]) ).

fof(f83414,plain,
    ( spl0_970
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).

fof(f15401,plain,
    ( spl0_353
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f17607,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f50]) ).

fof(f15402,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_353 ),
    inference(avatar_component_clause,[],[f15401]) ).

fof(f83412,plain,
    ( spl0_969
    | ~ spl0_5
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17606,f15401,f43,f83410]) ).

fof(f83410,plain,
    ( spl0_969
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).

fof(f17606,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f45]) ).

fof(f83408,plain,
    ( spl0_968
    | ~ spl0_4
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17605,f15401,f38,f83406]) ).

fof(f83406,plain,
    ( spl0_968
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).

fof(f17605,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f40]) ).

fof(f83404,plain,
    ( spl0_967
    | ~ spl0_6
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f17017,f15377,f48,f83402]) ).

fof(f83402,plain,
    ( spl0_967
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(zero,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).

fof(f15377,plain,
    ( spl0_347
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f17017,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(zero,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_347 ),
    inference(superposition,[],[f15378,f50]) ).

fof(f15378,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_347 ),
    inference(avatar_component_clause,[],[f15377]) ).

fof(f83400,plain,
    ( spl0_966
    | ~ spl0_5
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f17016,f15377,f43,f83398]) ).

fof(f83398,plain,
    ( spl0_966
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(zero,X1,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).

fof(f17016,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(zero,X1,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_347 ),
    inference(superposition,[],[f15378,f45]) ).

fof(f83396,plain,
    ( spl0_965
    | ~ spl0_4
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f17015,f15377,f38,f83394]) ).

fof(f83394,plain,
    ( spl0_965
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(zero,X1,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).

fof(f17015,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(zero,X1,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_347 ),
    inference(superposition,[],[f15378,f40]) ).

fof(f83126,plain,
    ( spl0_964
    | ~ spl0_6
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f16896,f15373,f48,f83124]) ).

fof(f83124,plain,
    ( spl0_964
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X0,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).

fof(f15373,plain,
    ( spl0_346
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f16896,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X0,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_346 ),
    inference(superposition,[],[f15374,f50]) ).

fof(f15374,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f15373]) ).

fof(f83122,plain,
    ( spl0_963
    | ~ spl0_5
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f16895,f15373,f43,f83120]) ).

fof(f83120,plain,
    ( spl0_963
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).

fof(f16895,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_346 ),
    inference(superposition,[],[f15374,f45]) ).

fof(f83118,plain,
    ( spl0_962
    | ~ spl0_4
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f16894,f15373,f38,f83116]) ).

fof(f83116,plain,
    ( spl0_962
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).

fof(f16894,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_346 ),
    inference(superposition,[],[f15374,f40]) ).

fof(f83114,plain,
    ( spl0_961
    | ~ spl0_6
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f16786,f15364,f48,f83112]) ).

fof(f83112,plain,
    ( spl0_961
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQ_idQa),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).

fof(f15364,plain,
    ( spl0_344
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f16786,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQ_idQa),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_344 ),
    inference(superposition,[],[f15365,f50]) ).

fof(f15365,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_344 ),
    inference(avatar_component_clause,[],[f15364]) ).

fof(f83110,plain,
    ( spl0_960
    | ~ spl0_5
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f16785,f15364,f43,f83108]) ).

fof(f83108,plain,
    ( spl0_960
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).

fof(f16785,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_344 ),
    inference(superposition,[],[f15365,f45]) ).

fof(f83106,plain,
    ( spl0_959
    | ~ spl0_4
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f16784,f15364,f38,f83104]) ).

fof(f83104,plain,
    ( spl0_959
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,a),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).

fof(f16784,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,a),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_344 ),
    inference(superposition,[],[f15365,f40]) ).

fof(f83102,plain,
    ( spl0_958
    | ~ spl0_6
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f16398,f15348,f48,f83100]) ).

fof(f83100,plain,
    ( spl0_958
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,idQ_idQa),true,ifeq(quotient(X0,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).

fof(f15348,plain,
    ( spl0_340
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X3,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f16398,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,idQ_idQa),true,ifeq(quotient(X0,zero,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_340 ),
    inference(superposition,[],[f15349,f50]) ).

fof(f15349,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X3,X0),true),true),true)
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f15348]) ).

fof(f83098,plain,
    ( spl0_957
    | ~ spl0_5
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f16397,f15348,f43,f83096]) ).

fof(f83096,plain,
    ( spl0_957
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,idQa),true,ifeq(quotient(X0,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).

fof(f16397,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,idQa),true,ifeq(quotient(X0,zero,identity),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_340 ),
    inference(superposition,[],[f15349,f45]) ).

fof(f83094,plain,
    ( spl0_956
    | ~ spl0_4
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f16396,f15348,f38,f83092]) ).

fof(f83092,plain,
    ( spl0_956
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,a),true,ifeq(quotient(X0,zero,identity),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).

fof(f16396,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,zero,a),true,ifeq(quotient(X0,zero,identity),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_340 ),
    inference(superposition,[],[f15349,f40]) ).

fof(f83090,plain,
    ( spl0_955
    | ~ spl0_6
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16272,f15344,f48,f83088]) ).

fof(f83088,plain,
    ( spl0_955
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQ_idQa),true,ifeq(quotient(idQa,X0,X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).

fof(f15344,plain,
    ( spl0_339
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f16272,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQ_idQa),true,ifeq(quotient(idQa,X0,X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f50]) ).

fof(f15345,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f15344]) ).

fof(f83086,plain,
    ( spl0_954
    | ~ spl0_11
    | ~ spl0_853
    | ~ spl0_933 ),
    inference(avatar_split_clause,[],[f82543,f82095,f77609,f69,f83083]) ).

fof(f77609,plain,
    ( spl0_853
  <=> ! [X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(less_equal(X0,divide(X0,X1)),true,X0,divide(X0,X1)),divide(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).

fof(f82095,plain,
    ( spl0_933
  <=> true = less_equal(idQa,divide(idQa,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).

fof(f82543,plain,
    ( idQa = divide(idQa,a)
    | ~ spl0_11
    | ~ spl0_853
    | ~ spl0_933 ),
    inference(forward_demodulation,[],[f82542,f70]) ).

fof(f82542,plain,
    ( divide(idQa,a) = ifeq2(true,true,idQa,divide(idQa,a))
    | ~ spl0_11
    | ~ spl0_853
    | ~ spl0_933 ),
    inference(forward_demodulation,[],[f82194,f70]) ).

fof(f82194,plain,
    ( divide(idQa,a) = ifeq2(true,true,ifeq2(true,true,idQa,divide(idQa,a)),divide(idQa,a))
    | ~ spl0_853
    | ~ spl0_933 ),
    inference(superposition,[],[f77610,f82097]) ).

fof(f82097,plain,
    ( true = less_equal(idQa,divide(idQa,a))
    | ~ spl0_933 ),
    inference(avatar_component_clause,[],[f82095]) ).

fof(f77610,plain,
    ( ! [X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(less_equal(X0,divide(X0,X1)),true,X0,divide(X0,X1)),divide(X0,X1))
    | ~ spl0_853 ),
    inference(avatar_component_clause,[],[f77609]) ).

fof(f83081,plain,
    ( spl0_953
    | ~ spl0_5
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16271,f15344,f43,f83079]) ).

fof(f83079,plain,
    ( spl0_953
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(identity,X0,X1),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).

fof(f16271,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(identity,X0,X1),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f45]) ).

fof(f83077,plain,
    ( spl0_952
    | ~ spl0_4
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16270,f15344,f38,f83075]) ).

fof(f83075,plain,
    ( spl0_952
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,a),true,ifeq(quotient(identity,X0,X1),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).

fof(f16270,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,a),true,ifeq(quotient(identity,X0,X1),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f40]) ).

fof(f83073,plain,
    ( spl0_951
    | ~ spl0_6
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16147,f15340,f48,f83071]) ).

fof(f83071,plain,
    ( spl0_951
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).

fof(f15340,plain,
    ( spl0_338
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f16147,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f50]) ).

fof(f15341,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_338 ),
    inference(avatar_component_clause,[],[f15340]) ).

fof(f83069,plain,
    ( spl0_950
    | ~ spl0_5
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16146,f15340,f43,f83067]) ).

fof(f83067,plain,
    ( spl0_950
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,identity),true,ifeq(quotient(X0,idQa,X1),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).

fof(f16146,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,identity),true,ifeq(quotient(X0,idQa,X1),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f45]) ).

fof(f83065,plain,
    ( spl0_949
    | ~ spl0_4
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16145,f15340,f38,f83063]) ).

fof(f83063,plain,
    ( spl0_949
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,identity),true,ifeq(quotient(X0,a,X1),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).

fof(f16145,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,identity),true,ifeq(quotient(X0,a,X1),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f40]) ).

fof(f83061,plain,
    ( spl0_948
    | ~ spl0_6
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f15634,f15311,f48,f83059]) ).

fof(f83059,plain,
    ( spl0_948
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQ_idQa),true,ifeq(quotient(X1,identity,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).

fof(f15311,plain,
    ( spl0_331
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,identity,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X4,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f15634,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQ_idQa),true,ifeq(quotient(X1,identity,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_331 ),
    inference(superposition,[],[f15312,f50]) ).

fof(f15312,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,identity,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X4,zero),true),true),true)
    | ~ spl0_331 ),
    inference(avatar_component_clause,[],[f15311]) ).

fof(f83057,plain,
    ( spl0_947
    | ~ spl0_5
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f15633,f15311,f43,f83055]) ).

fof(f83055,plain,
    ( spl0_947
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQa),true,ifeq(quotient(X1,identity,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).

fof(f15633,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQa),true,ifeq(quotient(X1,identity,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_331 ),
    inference(superposition,[],[f15312,f45]) ).

fof(f83053,plain,
    ( spl0_946
    | ~ spl0_4
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f15632,f15311,f38,f83051]) ).

fof(f83051,plain,
    ( spl0_946
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,a),true,ifeq(quotient(X1,identity,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).

fof(f15632,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,a),true,ifeq(quotient(X1,identity,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_331 ),
    inference(superposition,[],[f15312,f40]) ).

fof(f83049,plain,
    ( spl0_945
    | ~ spl0_10
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f15253,f10933,f65,f83047]) ).

fof(f83047,plain,
    ( spl0_945
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQ_idQa,zero,zero),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).

fof(f65,plain,
    ( spl0_10
  <=> ! [X3] : true = quotient(X3,zero,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f10933,plain,
    ( spl0_323
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQ_idQa,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f15253,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQ_idQa,zero,zero),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_323 ),
    inference(superposition,[],[f10934,f66]) ).

fof(f66,plain,
    ( ! [X3] : true = quotient(X3,zero,X3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f10934,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQ_idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_323 ),
    inference(avatar_component_clause,[],[f10933]) ).

fof(f83045,plain,
    ( spl0_944
    | ~ spl0_10
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f15040,f10917,f65,f83043]) ).

fof(f83043,plain,
    ( spl0_944
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).

fof(f10917,plain,
    ( spl0_319
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f15040,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_319 ),
    inference(superposition,[],[f10918,f66]) ).

fof(f10918,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f10917]) ).

fof(f82147,plain,
    ( spl0_943
    | ~ spl0_5
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f14938,f10909,f43,f82144]) ).

fof(f82144,plain,
    ( spl0_943
  <=> true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,idQa),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).

fof(f10909,plain,
    ( spl0_317
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f14938,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,idQa),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_317 ),
    inference(superposition,[],[f10910,f45]) ).

fof(f10910,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f10909]) ).

fof(f82142,plain,
    ( spl0_942
    | ~ spl0_4
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f14937,f10909,f38,f82139]) ).

fof(f82139,plain,
    ( spl0_942
  <=> true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,a),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).

fof(f14937,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,a),true,ifeq(quotient(idQa,zero,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_317 ),
    inference(superposition,[],[f10910,f40]) ).

fof(f82135,plain,
    ( spl0_941
    | ~ spl0_10
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f14934,f10909,f65,f82133]) ).

fof(f82133,plain,
    ( spl0_941
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,zero),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).

fof(f14934,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,zero),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_317 ),
    inference(superposition,[],[f10910,f66]) ).

fof(f82131,plain,
    ( spl0_940
    | ~ spl0_6
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14899,f10905,f48,f82128]) ).

fof(f82128,plain,
    ( spl0_940
  <=> true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,idQ_idQa),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).

fof(f10905,plain,
    ( spl0_316
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f14899,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,idQ_idQa),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f50]) ).

fof(f10906,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f10905]) ).

fof(f82126,plain,
    ( spl0_939
    | ~ spl0_5
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14898,f10905,f43,f82123]) ).

fof(f82123,plain,
    ( spl0_939
  <=> true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,idQa),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).

fof(f14898,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,idQa),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f45]) ).

fof(f82121,plain,
    ( spl0_938
    | ~ spl0_4
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14897,f10905,f38,f82118]) ).

fof(f82118,plain,
    ( spl0_938
  <=> true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,a),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).

fof(f14897,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,a),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f40]) ).

fof(f82114,plain,
    ( spl0_937
    | ~ spl0_10
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14894,f10905,f65,f82112]) ).

fof(f82112,plain,
    ( spl0_937
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,zero),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X0,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).

fof(f14894,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,zero),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f66]) ).

fof(f82110,plain,
    ( spl0_936
    | ~ spl0_10
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f14843,f10901,f65,f82108]) ).

fof(f82108,plain,
    ( spl0_936
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,zero),true,less_equal(identity,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).

fof(f10901,plain,
    ( spl0_315
  <=> ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f14843,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,zero),true,less_equal(identity,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_315 ),
    inference(superposition,[],[f10902,f66]) ).

fof(f10902,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_315 ),
    inference(avatar_component_clause,[],[f10901]) ).

fof(f82106,plain,
    ( spl0_935
    | ~ spl0_4
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f14839,f10901,f38,f82104]) ).

fof(f82104,plain,
    ( spl0_935
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,a),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).

fof(f14839,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,a),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_315 ),
    inference(superposition,[],[f10902,f40]) ).

fof(f82102,plain,
    ( spl0_934
    | ~ spl0_10
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f14673,f10885,f65,f82100]) ).

fof(f82100,plain,
    ( spl0_934
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X0,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).

fof(f10885,plain,
    ( spl0_311
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f14673,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_311 ),
    inference(superposition,[],[f10886,f66]) ).

fof(f10886,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f10885]) ).

fof(f82098,plain,
    ( spl0_933
    | ~ spl0_12
    | ~ spl0_880 ),
    inference(avatar_split_clause,[],[f82043,f81830,f73,f82095]) ).

fof(f81830,plain,
    ( spl0_880
  <=> true = ifeq(true,true,less_equal(idQa,divide(idQa,a)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).

fof(f82043,plain,
    ( true = less_equal(idQa,divide(idQa,a))
    | ~ spl0_12
    | ~ spl0_880 ),
    inference(superposition,[],[f81832,f74]) ).

fof(f81832,plain,
    ( true = ifeq(true,true,less_equal(idQa,divide(idQa,a)),true)
    | ~ spl0_880 ),
    inference(avatar_component_clause,[],[f81830]) ).

fof(f82093,plain,
    ( spl0_932
    | ~ spl0_10
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f14560,f10877,f65,f82091]) ).

fof(f82091,plain,
    ( spl0_932
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,zero),true,ifeq(quotient(identity,zero,X0),true,less_equal(X0,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).

fof(f10877,plain,
    ( spl0_309
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f14560,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,zero),true,ifeq(quotient(identity,zero,X0),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_309 ),
    inference(superposition,[],[f10878,f66]) ).

fof(f10878,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f10877]) ).

fof(f82087,plain,
    ( spl0_931
    | ~ spl0_6
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f14518,f10873,f48,f82084]) ).

fof(f82084,plain,
    ( spl0_931
  <=> true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQ_idQa),true,ifeq(quotient(identity,idQ_idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).

fof(f10873,plain,
    ( spl0_308
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f14518,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQ_idQa),true,ifeq(quotient(identity,idQ_idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_308 ),
    inference(superposition,[],[f10874,f50]) ).

fof(f10874,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_308 ),
    inference(avatar_component_clause,[],[f10873]) ).

fof(f82082,plain,
    ( spl0_930
    | ~ spl0_5
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f14517,f10873,f43,f82079]) ).

fof(f82079,plain,
    ( spl0_930
  <=> true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQa),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).

fof(f14517,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQa),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_308 ),
    inference(superposition,[],[f10874,f45]) ).

fof(f82077,plain,
    ( spl0_929
    | ~ spl0_4
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f14516,f10873,f38,f82074]) ).

fof(f82074,plain,
    ( spl0_929
  <=> true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,a),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).

fof(f14516,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,a),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_308 ),
    inference(superposition,[],[f10874,f40]) ).

fof(f82072,plain,
    ( spl0_928
    | ~ spl0_10
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f14458,f10869,f65,f82070]) ).

fof(f82070,plain,
    ( spl0_928
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(a,zero,zero),true,less_equal(identity,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).

fof(f10869,plain,
    ( spl0_307
  <=> ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(a,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f14458,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(a,zero,zero),true,less_equal(identity,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_307 ),
    inference(superposition,[],[f10870,f66]) ).

fof(f10870,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(a,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f10869]) ).

fof(f82068,plain,
    ( spl0_927
    | ~ spl0_5
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f14455,f10869,f43,f82066]) ).

fof(f82066,plain,
    ( spl0_927
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(a,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).

fof(f14455,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(a,zero,idQa),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_307 ),
    inference(superposition,[],[f10870,f45]) ).

fof(f82064,plain,
    ( spl0_926
    | ~ spl0_10
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f14288,f10857,f65,f82062]) ).

fof(f82062,plain,
    ( spl0_926
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X0,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).

fof(f10857,plain,
    ( spl0_304
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f14288,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_304 ),
    inference(superposition,[],[f10858,f66]) ).

fof(f10858,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f10857]) ).

fof(f82060,plain,
    ( spl0_925
    | ~ spl0_10
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f14168,f10843,f65,f82058]) ).

fof(f82058,plain,
    ( spl0_925
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(a,zero,zero),true,ifeq(quotient(identity,zero,X0),true,less_equal(X0,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).

fof(f10843,plain,
    ( spl0_301
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f14168,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(a,zero,zero),true,ifeq(quotient(identity,zero,X0),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_301 ),
    inference(superposition,[],[f10844,f66]) ).

fof(f10844,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f10843]) ).

fof(f82054,plain,
    ( spl0_924
    | ~ spl0_6
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f14126,f10839,f48,f82051]) ).

fof(f82051,plain,
    ( spl0_924
  <=> true = ifeq(true,true,ifeq(quotient(a,idQa,idQ_idQa),true,ifeq(quotient(identity,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).

fof(f10839,plain,
    ( spl0_300
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f14126,plain,
    ( true = ifeq(true,true,ifeq(quotient(a,idQa,idQ_idQa),true,ifeq(quotient(identity,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_300 ),
    inference(superposition,[],[f10840,f50]) ).

fof(f10840,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f10839]) ).

fof(f82049,plain,
    ( spl0_923
    | ~ spl0_5
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f14125,f10839,f43,f82046]) ).

fof(f82046,plain,
    ( spl0_923
  <=> true = ifeq(true,true,ifeq(quotient(a,idQa,idQa),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).

fof(f14125,plain,
    ( true = ifeq(true,true,ifeq(quotient(a,idQa,idQa),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_300 ),
    inference(superposition,[],[f10840,f45]) ).

fof(f82042,plain,
    ( spl0_922
    | ~ spl0_4
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f14124,f10839,f38,f82039]) ).

fof(f82039,plain,
    ( spl0_922
  <=> true = ifeq(true,true,ifeq(quotient(a,idQa,a),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).

fof(f14124,plain,
    ( true = ifeq(true,true,ifeq(quotient(a,idQa,a),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_300 ),
    inference(superposition,[],[f10840,f40]) ).

fof(f82037,plain,
    ( spl0_921
    | ~ spl0_10
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f14121,f10839,f65,f82035]) ).

fof(f82035,plain,
    ( spl0_921
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(a,idQa,zero),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X0,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).

fof(f14121,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(a,idQa,zero),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_300 ),
    inference(superposition,[],[f10840,f66]) ).

fof(f82033,plain,
    ( spl0_920
    | ~ spl0_10
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f13959,f10827,f65,f82031]) ).

fof(f82031,plain,
    ( spl0_920
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(identity,idQ_idQa,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).

fof(f10827,plain,
    ( spl0_297
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f13959,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(identity,idQ_idQa,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_297 ),
    inference(superposition,[],[f10828,f66]) ).

fof(f10828,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f10827]) ).

fof(f82029,plain,
    ( spl0_919
    | ~ spl0_10
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f13854,f10819,f65,f82027]) ).

fof(f82027,plain,
    ( spl0_919
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).

fof(f10819,plain,
    ( spl0_295
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f13854,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_295 ),
    inference(superposition,[],[f10820,f66]) ).

fof(f10820,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f10819]) ).

fof(f82025,plain,
    ( spl0_918
    | ~ spl0_10
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f13809,f10815,f65,f82023]) ).

fof(f82023,plain,
    ( spl0_918
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).

fof(f10815,plain,
    ( spl0_294
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f13809,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_294 ),
    inference(superposition,[],[f10816,f66]) ).

fof(f10816,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f10815]) ).

fof(f82021,plain,
    ( spl0_917
    | ~ spl0_10
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f13770,f10811,f65,f82019]) ).

fof(f82019,plain,
    ( spl0_917
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,zero),true,ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).

fof(f10811,plain,
    ( spl0_293
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,zero),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f13770,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,zero),true,ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_293 ),
    inference(superposition,[],[f10812,f66]) ).

fof(f10812,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f10811]) ).

fof(f82017,plain,
    ( spl0_916
    | ~ spl0_10
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f13735,f10733,f65,f82015]) ).

fof(f82015,plain,
    ( spl0_916
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,zero),true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).

fof(f10733,plain,
    ( spl0_292
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQ_idQa),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f13735,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,zero),true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_292 ),
    inference(superposition,[],[f10734,f66]) ).

fof(f10734,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f10733]) ).

fof(f82013,plain,
    ( spl0_915
    | ~ spl0_10
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f13512,f10717,f65,f82011]) ).

fof(f82011,plain,
    ( spl0_915
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(a,idQa,zero),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).

fof(f10717,plain,
    ( spl0_288
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X2),true,ifeq(quotient(a,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f13512,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(a,idQa,zero),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_288 ),
    inference(superposition,[],[f10718,f66]) ).

fof(f10718,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X2),true,ifeq(quotient(a,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f10717]) ).

fof(f82009,plain,
    ( spl0_914
    | ~ spl0_10
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f13455,f10713,f65,f82007]) ).

fof(f82007,plain,
    ( spl0_914
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).

fof(f10713,plain,
    ( spl0_287
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f13455,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_287 ),
    inference(superposition,[],[f10714,f66]) ).

fof(f10714,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f10713]) ).

fof(f82005,plain,
    ( spl0_913
    | ~ spl0_10
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f13398,f10709,f65,f82003]) ).

fof(f82003,plain,
    ( spl0_913
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).

fof(f10709,plain,
    ( spl0_286
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f13398,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_286 ),
    inference(superposition,[],[f10710,f66]) ).

fof(f10710,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f10709]) ).

fof(f81968,plain,
    ( spl0_912
    | ~ spl0_10
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f13346,f10705,f65,f81966]) ).

fof(f81966,plain,
    ( spl0_912
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,zero),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).

fof(f10705,plain,
    ( spl0_285
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f13346,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,zero),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_285 ),
    inference(superposition,[],[f10706,f66]) ).

fof(f10706,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f10705]) ).

fof(f81964,plain,
    ( spl0_911
    | ~ spl0_10
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f13307,f10701,f65,f81962]) ).

fof(f81962,plain,
    ( spl0_911
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,zero),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).

fof(f10701,plain,
    ( spl0_284
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,idQa),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f13307,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,zero),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_284 ),
    inference(superposition,[],[f10702,f66]) ).

fof(f10702,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f10701]) ).

fof(f81960,plain,
    ( spl0_910
    | ~ spl0_6
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f13247,f10697,f48,f81958]) ).

fof(f81958,plain,
    ( spl0_910
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,a,X0),true,ifeq(quotient(zero,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).

fof(f10697,plain,
    ( spl0_283
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X2),true,ifeq(quotient(zero,a,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f13247,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,a,X0),true,ifeq(quotient(zero,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_283 ),
    inference(superposition,[],[f10698,f50]) ).

fof(f10698,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X2),true,ifeq(quotient(zero,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f10697]) ).

fof(f81956,plain,
    ( spl0_909
    | ~ spl0_6
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f13191,f10688,f48,f81954]) ).

fof(f81954,plain,
    ( spl0_909
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,a,X0),true,ifeq(quotient(identity,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).

fof(f10688,plain,
    ( spl0_281
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f13191,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(zero,a,X0),true,ifeq(quotient(identity,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_281 ),
    inference(superposition,[],[f10689,f50]) ).

fof(f10689,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_281 ),
    inference(avatar_component_clause,[],[f10688]) ).

fof(f81952,plain,
    ( spl0_908
    | ~ spl0_10
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f13146,f10684,f65,f81950]) ).

fof(f81950,plain,
    ( spl0_908
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,a,X0),true,ifeq(quotient(idQa,a,zero),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).

fof(f10684,plain,
    ( spl0_280
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,a,X2),true,ifeq(quotient(idQa,a,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f13146,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,a,X0),true,ifeq(quotient(idQa,a,zero),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_280 ),
    inference(superposition,[],[f10685,f66]) ).

fof(f10685,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,a,X2),true,ifeq(quotient(idQa,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f10684]) ).

fof(f81948,plain,
    ( spl0_907
    | ~ spl0_6
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f13143,f10684,f48,f81946]) ).

fof(f81946,plain,
    ( spl0_907
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,a,X0),true,ifeq(quotient(idQa,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).

fof(f13143,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,a,X0),true,ifeq(quotient(idQa,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_280 ),
    inference(superposition,[],[f10685,f50]) ).

fof(f81944,plain,
    ( spl0_906
    | ~ spl0_6
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f13093,f10680,f48,f81942]) ).

fof(f81942,plain,
    ( spl0_906
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,ifeq(quotient(a,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).

fof(f10680,plain,
    ( spl0_279
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f13093,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,ifeq(quotient(a,a,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_279 ),
    inference(superposition,[],[f10681,f50]) ).

fof(f10681,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f10680]) ).

fof(f81940,plain,
    ( spl0_905
    | ~ spl0_10
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f13039,f10676,f65,f81938]) ).

fof(f81938,plain,
    ( spl0_905
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).

fof(f10676,plain,
    ( spl0_278
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f13039,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_278 ),
    inference(superposition,[],[f10677,f66]) ).

fof(f10677,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f10676]) ).

fof(f81936,plain,
    ( spl0_904
    | ~ spl0_10
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f12986,f10672,f65,f81934]) ).

fof(f81934,plain,
    ( spl0_904
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).

fof(f10672,plain,
    ( spl0_277
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f12986,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_277 ),
    inference(superposition,[],[f10673,f66]) ).

fof(f10673,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f10672]) ).

fof(f81932,plain,
    ( spl0_903
    | ~ spl0_10
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f12937,f10668,f65,f81930]) ).

fof(f81930,plain,
    ( spl0_903
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,zero),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).

fof(f10668,plain,
    ( spl0_276
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f12937,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,zero),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_276 ),
    inference(superposition,[],[f10669,f66]) ).

fof(f10669,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_276 ),
    inference(avatar_component_clause,[],[f10668]) ).

fof(f81928,plain,
    ( spl0_902
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_652 ),
    inference(avatar_split_clause,[],[f51707,f51661,f77,f73,f81925]) ).

fof(f81925,plain,
    ( spl0_902
  <=> true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa_Q__idQ_idQa,idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).

fof(f51661,plain,
    ( spl0_652
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f51707,plain,
    ( true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa_Q__idQ_idQa,idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_652 ),
    inference(forward_demodulation,[],[f51699,f74]) ).

fof(f51699,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true)
    | ~ spl0_13
    | ~ spl0_652 ),
    inference(superposition,[],[f51662,f78]) ).

fof(f51662,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_652 ),
    inference(avatar_component_clause,[],[f51661]) ).

fof(f81923,plain,
    ( spl0_901
    | ~ spl0_6
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f12934,f10668,f48,f81921]) ).

fof(f81921,plain,
    ( spl0_901
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,idQ_idQa),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).

fof(f12934,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,idQ_idQa),true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_276 ),
    inference(superposition,[],[f10669,f50]) ).

fof(f81919,plain,
    ( spl0_900
    | ~ spl0_10
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12899,f10664,f65,f81917]) ).

fof(f81917,plain,
    ( spl0_900
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,zero),true,ifeq(quotient(identity,X0,a),true,less_equal(idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).

fof(f10664,plain,
    ( spl0_275
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,a),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f12899,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,zero),true,ifeq(quotient(identity,X0,a),true,less_equal(idQa,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_275 ),
    inference(superposition,[],[f10665,f66]) ).

fof(f10665,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f10664]) ).

fof(f81915,plain,
    ( spl0_899
    | ~ spl0_6
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12896,f10664,f48,f81913]) ).

fof(f81913,plain,
    ( spl0_899
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,idQ_idQa),true,ifeq(quotient(identity,X0,a),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).

fof(f12896,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,idQ_idQa),true,ifeq(quotient(identity,X0,a),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_275 ),
    inference(superposition,[],[f10665,f50]) ).

fof(f81911,plain,
    ( spl0_898
    | ~ spl0_6
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f12449,f10270,f48,f81909]) ).

fof(f81909,plain,
    ( spl0_898
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).

fof(f10270,plain,
    ( spl0_266
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f12449,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_266 ),
    inference(superposition,[],[f10271,f50]) ).

fof(f10271,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f10270]) ).

fof(f81907,plain,
    ( spl0_897
    | ~ spl0_6
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f12232,f10254,f48,f81905]) ).

fof(f81905,plain,
    ( spl0_897
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,ifeq(quotient(X0,identity,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).

fof(f10254,plain,
    ( spl0_262
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,idQa),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f12232,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,ifeq(quotient(X0,identity,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_262 ),
    inference(superposition,[],[f10255,f50]) ).

fof(f10255,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f10254]) ).

fof(f81903,plain,
    ( spl0_896
    | ~ spl0_5
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f12165,f10245,f43,f81901]) ).

fof(f81901,plain,
    ( spl0_896
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,a,X0),true,ifeq(quotient(X1,a,identity),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).

fof(f10245,plain,
    ( spl0_260
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,a,X3),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f12165,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,a,X0),true,ifeq(quotient(X1,a,identity),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_260 ),
    inference(superposition,[],[f10246,f45]) ).

fof(f10246,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,a,X3),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f10245]) ).

fof(f81899,plain,
    ( spl0_895
    | ~ spl0_5
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f11948,f10229,f43,f81897]) ).

fof(f81897,plain,
    ( spl0_895
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,ifeq(quotient(X0,identity,a),true,less_equal(idQ_idQa,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).

fof(f10229,plain,
    ( spl0_256
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,a),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f11948,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,ifeq(quotient(X0,identity,a),true,less_equal(idQ_idQa,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_256 ),
    inference(superposition,[],[f10230,f45]) ).

fof(f10230,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f10229]) ).

fof(f81895,plain,
    ( spl0_894
    | ~ spl0_5
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f11904,f10225,f43,f81892]) ).

fof(f81892,plain,
    ( spl0_894
  <=> true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,idQa),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).

fof(f10225,plain,
    ( spl0_255
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f11904,plain,
    ( true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,idQa),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_255 ),
    inference(superposition,[],[f10226,f45]) ).

fof(f10226,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_255 ),
    inference(avatar_component_clause,[],[f10225]) ).

fof(f81890,plain,
    ( spl0_893
    | ~ spl0_4
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f11903,f10225,f38,f81887]) ).

fof(f81887,plain,
    ( spl0_893
  <=> true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,a),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).

fof(f11903,plain,
    ( true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,a),true,ifeq(quotient(identity,idQ_idQa,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_255 ),
    inference(superposition,[],[f10226,f40]) ).

fof(f81885,plain,
    ( spl0_892
    | ~ spl0_10
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f11900,f10225,f65,f81883]) ).

fof(f81883,plain,
    ( spl0_892
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,zero),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).

fof(f11900,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(a,idQ_idQa,zero),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_255 ),
    inference(superposition,[],[f10226,f66]) ).

fof(f81881,plain,
    ( spl0_891
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_651 ),
    inference(avatar_split_clause,[],[f51694,f51657,f77,f73,f81878]) ).

fof(f81878,plain,
    ( spl0_891
  <=> true = ifeq(true,true,less_equal(idQ_idQa,divide(idQ_idQa,idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).

fof(f51657,plain,
    ( spl0_651
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f51694,plain,
    ( true = ifeq(true,true,less_equal(idQ_idQa,divide(idQ_idQa,idQa)),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_651 ),
    inference(forward_demodulation,[],[f51685,f74]) ).

fof(f51685,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQ_idQa,divide(idQ_idQa,idQa)),true),true)
    | ~ spl0_13
    | ~ spl0_651 ),
    inference(superposition,[],[f51658,f78]) ).

fof(f51658,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_651 ),
    inference(avatar_component_clause,[],[f51657]) ).

fof(f81876,plain,
    ( spl0_890
    | ~ spl0_5
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f11850,f10221,f43,f81873]) ).

fof(f81873,plain,
    ( spl0_890
  <=> true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,idQa),true,ifeq(quotient(idQa,idQ_idQa,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).

fof(f10221,plain,
    ( spl0_254
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f11850,plain,
    ( true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,idQa),true,ifeq(quotient(idQa,idQ_idQa,identity),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_254 ),
    inference(superposition,[],[f10222,f45]) ).

fof(f10222,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f10221]) ).

fof(f81871,plain,
    ( spl0_889
    | ~ spl0_4
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f11849,f10221,f38,f81868]) ).

fof(f81868,plain,
    ( spl0_889
  <=> true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,a),true,ifeq(quotient(idQa,idQ_idQa,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).

fof(f11849,plain,
    ( true = ifeq(true,true,ifeq(quotient(zero,idQ_idQa,a),true,ifeq(quotient(idQa,idQ_idQa,identity),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_254 ),
    inference(superposition,[],[f10222,f40]) ).

fof(f81866,plain,
    ( spl0_888
    | ~ spl0_10
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11651,f10199,f65,f81864]) ).

fof(f81864,plain,
    ( spl0_888
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X0),true,ifeq(quotient(X1,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).

fof(f10199,plain,
    ( spl0_249
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f11651,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X0),true,ifeq(quotient(X1,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_249 ),
    inference(superposition,[],[f10200,f66]) ).

fof(f10200,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f10199]) ).

fof(f81862,plain,
    ( spl0_887
    | ~ spl0_10
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f11621,f10195,f65,f81860]) ).

fof(f81860,plain,
    ( spl0_887
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).

fof(f10195,plain,
    ( spl0_248
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f11621,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_248 ),
    inference(superposition,[],[f10196,f66]) ).

fof(f10196,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f10195]) ).

fof(f81858,plain,
    ( spl0_886
    | ~ spl0_4
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f11566,f10191,f38,f81855]) ).

fof(f81855,plain,
    ( spl0_886
  <=> true = ifeq(true,true,ifeq(quotient(zero,idQa,a),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQa,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).

fof(f10191,plain,
    ( spl0_247
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f11566,plain,
    ( true = ifeq(true,true,ifeq(quotient(zero,idQa,a),true,ifeq(quotient(identity,idQa,identity),true,less_equal(idQa,idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_247 ),
    inference(superposition,[],[f10192,f40]) ).

fof(f10192,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f10191]) ).

fof(f81853,plain,
    ( spl0_885
    | ~ spl0_6
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f11370,f10175,f48,f81851]) ).

fof(f81851,plain,
    ( spl0_885
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,ifeq(quotient(X0,identity,identity),true,less_equal(idQa_Q__idQ_idQa,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).

fof(f10175,plain,
    ( spl0_243
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f11370,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,ifeq(quotient(X0,identity,identity),true,less_equal(idQa_Q__idQ_idQa,idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_243 ),
    inference(superposition,[],[f10176,f50]) ).

fof(f10176,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f10175]) ).

fof(f81849,plain,
    ( spl0_884
    | ~ spl0_10
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f11330,f10171,f65,f81847]) ).

fof(f81847,plain,
    ( spl0_884
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,ifeq(quotient(X1,zero,identity),true,less_equal(X0,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).

fof(f10171,plain,
    ( spl0_242
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f11330,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,ifeq(quotient(X1,zero,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_242 ),
    inference(superposition,[],[f10172,f66]) ).

fof(f10172,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f10171]) ).

fof(f81845,plain,
    ( spl0_883
    | ~ spl0_10
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f11293,f10167,f65,f81843]) ).

fof(f81843,plain,
    ( spl0_883
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,ifeq(quotient(X1,idQa,identity),true,less_equal(X0,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).

fof(f10167,plain,
    ( spl0_241
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,idQa,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f11293,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,ifeq(quotient(X1,idQa,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_241 ),
    inference(superposition,[],[f10168,f66]) ).

fof(f10168,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,idQa,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f10167]) ).

fof(f81841,plain,
    ( spl0_882
    | ~ spl0_5
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f11024,f10142,f43,f81839]) ).

fof(f81839,plain,
    ( spl0_882
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,ifeq(quotient(X0,identity,identity),true,less_equal(idQ_idQa,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).

fof(f10142,plain,
    ( spl0_235
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f11024,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,ifeq(quotient(X0,identity,identity),true,less_equal(idQ_idQa,idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_235 ),
    inference(superposition,[],[f10143,f45]) ).

fof(f10143,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f10142]) ).

fof(f81837,plain,
    ( spl0_881
    | ~ spl0_10
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f10981,f10138,f65,f81835]) ).

fof(f81835,plain,
    ( spl0_881
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,ifeq(quotient(X1,zero,identity),true,less_equal(X0,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).

fof(f10138,plain,
    ( spl0_234
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f10981,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,ifeq(quotient(X1,zero,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_234 ),
    inference(superposition,[],[f10139,f66]) ).

fof(f10139,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f10138]) ).

fof(f81833,plain,
    ( spl0_880
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_650 ),
    inference(avatar_split_clause,[],[f51681,f51653,f77,f73,f81830]) ).

fof(f51653,plain,
    ( spl0_650
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,less_equal(idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f51681,plain,
    ( true = ifeq(true,true,less_equal(idQa,divide(idQa,a)),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_650 ),
    inference(forward_demodulation,[],[f51673,f74]) ).

fof(f51673,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQa,divide(idQa,a)),true),true)
    | ~ spl0_13
    | ~ spl0_650 ),
    inference(superposition,[],[f51654,f78]) ).

fof(f51654,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,less_equal(idQa,X0),true),true)
    | ~ spl0_650 ),
    inference(avatar_component_clause,[],[f51653]) ).

fof(f81828,plain,
    ( spl0_879
    | ~ spl0_10
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f10937,f10134,f65,f81826]) ).

fof(f81826,plain,
    ( spl0_879
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,ifeq(quotient(X1,a,identity),true,less_equal(X0,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).

fof(f10134,plain,
    ( spl0_233
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,a,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f10937,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,ifeq(quotient(X1,a,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_233 ),
    inference(superposition,[],[f10135,f66]) ).

fof(f10135,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,a,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f10134]) ).

fof(f80480,plain,
    ( spl0_878
    | ~ spl0_12
    | ~ spl0_633 ),
    inference(avatar_split_clause,[],[f50511,f50500,f73,f80478]) ).

fof(f80478,plain,
    ( spl0_878
  <=> ! [X0] : true = ifeq(less_equal(X0,idQa_Q__idQ_idQa),true,less_equal(X0,idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).

fof(f50500,plain,
    ( spl0_633
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa_Q__idQ_idQa),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f50511,plain,
    ( ! [X0] : true = ifeq(less_equal(X0,idQa_Q__idQ_idQa),true,less_equal(X0,idQa),true)
    | ~ spl0_12
    | ~ spl0_633 ),
    inference(superposition,[],[f50501,f74]) ).

fof(f50501,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa_Q__idQ_idQa),true,less_equal(X0,idQa),true),true)
    | ~ spl0_633 ),
    inference(avatar_component_clause,[],[f50500]) ).

fof(f78498,plain,
    ( spl0_877
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f18857,f15454,f77,f73,f78496]) ).

fof(f78496,plain,
    ( spl0_877
  <=> ! [X2,X0,X1,X3] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(zero,X1,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).

fof(f15454,plain,
    ( spl0_366
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(zero,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f18857,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(zero,X1,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(forward_demodulation,[],[f18784,f74]) ).

fof(f18784,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(zero,X1,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(superposition,[],[f15455,f78]) ).

fof(f15455,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(zero,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_366 ),
    inference(avatar_component_clause,[],[f15454]) ).

fof(f78494,plain,
    ( spl0_876
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f18284,f15430,f77,f73,f78492]) ).

fof(f78492,plain,
    ( spl0_876
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).

fof(f15430,plain,
    ( spl0_360
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f18284,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(forward_demodulation,[],[f18215,f74]) ).

fof(f18215,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,X1,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(superposition,[],[f15431,f78]) ).

fof(f15431,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_360 ),
    inference(avatar_component_clause,[],[f15430]) ).

fof(f78490,plain,
    ( spl0_875
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f18274,f15430,f77,f73,f78488]) ).

fof(f78488,plain,
    ( spl0_875
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).

fof(f18274,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(forward_demodulation,[],[f18205,f74]) ).

fof(f18205,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(true,true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_360 ),
    inference(superposition,[],[f15431,f78]) ).

fof(f78486,plain,
    ( spl0_874
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f18165,f15426,f77,f73,f78484]) ).

fof(f78484,plain,
    ( spl0_874
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(zero,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).

fof(f15426,plain,
    ( spl0_359
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f18165,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(zero,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_359 ),
    inference(forward_demodulation,[],[f18103,f74]) ).

fof(f18103,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(true,true,ifeq(quotient(zero,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_359 ),
    inference(superposition,[],[f15427,f78]) ).

fof(f15427,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f15426]) ).

fof(f78482,plain,
    ( spl0_873
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f18061,f15422,f77,f73,f78480]) ).

fof(f78480,plain,
    ( spl0_873
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X1,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).

fof(f15422,plain,
    ( spl0_358
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f18061,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X1,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_358 ),
    inference(forward_demodulation,[],[f17997,f74]) ).

fof(f17997,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(true,true,ifeq(quotient(X1,zero,X0),true,less_equal(X2,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_358 ),
    inference(superposition,[],[f15423,f78]) ).

fof(f15423,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f15422]) ).

fof(f77687,plain,
    ( spl0_872
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17688,f15401,f77,f73,f77685]) ).

fof(f77685,plain,
    ( spl0_872
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(divide(X0,X1),zero,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).

fof(f17688,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(divide(X0,X1),zero,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_353 ),
    inference(forward_demodulation,[],[f17617,f74]) ).

fof(f17617,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(divide(X0,X1),zero,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_13
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f78]) ).

fof(f77683,plain,
    ( spl0_871
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f17466,f15393,f77,f73,f77681]) ).

fof(f77681,plain,
    ( spl0_871
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(zero,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).

fof(f15393,plain,
    ( spl0_351
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f17466,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(zero,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_351 ),
    inference(forward_demodulation,[],[f17400,f74]) ).

fof(f17400,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(true,true,ifeq(quotient(zero,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_351 ),
    inference(superposition,[],[f15394,f78]) ).

fof(f15394,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_351 ),
    inference(avatar_component_clause,[],[f15393]) ).

fof(f77679,plain,
    ( spl0_870
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_350 ),
    inference(avatar_split_clause,[],[f17350,f15389,f77,f73,f77677]) ).

fof(f77677,plain,
    ( spl0_870
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X1,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).

fof(f15389,plain,
    ( spl0_350
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f17350,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X1,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_350 ),
    inference(forward_demodulation,[],[f17283,f74]) ).

fof(f17283,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X2),true,ifeq(true,true,ifeq(quotient(X1,X1,X0),true,less_equal(X2,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_350 ),
    inference(superposition,[],[f15390,f78]) ).

fof(f15390,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_350 ),
    inference(avatar_component_clause,[],[f15389]) ).

fof(f77675,plain,
    ( spl0_869
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f17087,f15377,f77,f73,f77673]) ).

fof(f77673,plain,
    ( spl0_869
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).

fof(f17087,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_347 ),
    inference(forward_demodulation,[],[f17023,f74]) ).

fof(f17023,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_347 ),
    inference(superposition,[],[f15378,f78]) ).

fof(f77671,plain,
    ( spl0_868
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f16986,f15373,f77,f73,f77669]) ).

fof(f77669,plain,
    ( spl0_868
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).

fof(f16986,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(forward_demodulation,[],[f16912,f74]) ).

fof(f16912,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X2),true,ifeq(true,true,less_equal(X3,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(superposition,[],[f15374,f78]) ).

fof(f77667,plain,
    ( spl0_867
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f16976,f15373,f77,f73,f77665]) ).

fof(f77665,plain,
    ( spl0_867
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).

fof(f16976,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(forward_demodulation,[],[f16902,f74]) ).

fof(f16902,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_346 ),
    inference(superposition,[],[f15374,f78]) ).

fof(f77663,plain,
    ( spl0_866
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f16865,f15364,f77,f73,f77661]) ).

fof(f77661,plain,
    ( spl0_866
  <=> ! [X2,X0,X1,X3] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(identity,X1,X2),true,less_equal(X3,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).

fof(f16865,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(identity,X1,X2),true,less_equal(X3,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(forward_demodulation,[],[f16798,f74]) ).

fof(f16798,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(identity,X1,X2),true,ifeq(true,true,less_equal(X3,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(superposition,[],[f15365,f78]) ).

fof(f77659,plain,
    ( spl0_865
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f16861,f15364,f77,f73,f77657]) ).

fof(f77657,plain,
    ( spl0_865
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(quotient(X3,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).

fof(f16861,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(quotient(X3,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(forward_demodulation,[],[f16794,f74]) ).

fof(f16794,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(true,true,ifeq(quotient(X3,X0,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_344 ),
    inference(superposition,[],[f15365,f78]) ).

fof(f77655,plain,
    ( spl0_864
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f16745,f15360,f77,f73,f77653]) ).

fof(f77653,plain,
    ( spl0_864
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X1,X0,zero),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).

fof(f15360,plain,
    ( spl0_343
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,zero),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f16745,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X1,X0,zero),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_343 ),
    inference(forward_demodulation,[],[f16677,f74]) ).

fof(f16677,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(true,true,ifeq(quotient(X1,X0,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_343 ),
    inference(superposition,[],[f15361,f78]) ).

fof(f15361,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f15360]) ).

fof(f77651,plain,
    ( spl0_863
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16350,f15344,f77,f73,f77649]) ).

fof(f77649,plain,
    ( spl0_863
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(X1,zero,X2),true,less_equal(X3,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).

fof(f16350,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(X1,zero,X2),true,less_equal(X3,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_339 ),
    inference(forward_demodulation,[],[f16282,f74]) ).

fof(f16282,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(X1,zero,X2),true,ifeq(true,true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f78]) ).

fof(f77647,plain,
    ( spl0_862
    | ~ spl0_12
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f77531,f35573,f73,f77645]) ).

fof(f77645,plain,
    ( spl0_862
  <=> ! [X0] : true = less_equal(divide(X0,idQa),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).

fof(f35573,plain,
    ( spl0_562
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),a),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f77531,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQa),a)
    | ~ spl0_12
    | ~ spl0_562 ),
    inference(superposition,[],[f35574,f74]) ).

fof(f35574,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),a),true)
    | ~ spl0_562 ),
    inference(avatar_component_clause,[],[f35573]) ).

fof(f77643,plain,
    ( spl0_861
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16229,f15340,f77,f73,f77641]) ).

fof(f77641,plain,
    ( spl0_861
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X3,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).

fof(f16229,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X3,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_338 ),
    inference(forward_demodulation,[],[f16157,f74]) ).

fof(f16157,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(X0,zero,X2),true,ifeq(true,true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f78]) ).

fof(f77639,plain,
    ( spl0_860
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_336 ),
    inference(avatar_split_clause,[],[f16027,f15332,f77,f73,f77637]) ).

fof(f77637,plain,
    ( spl0_860
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).

fof(f15332,plain,
    ( spl0_336
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(zero,X3,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f16027,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_336 ),
    inference(forward_demodulation,[],[f15967,f74]) ).

fof(f15967,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(true,true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_336 ),
    inference(superposition,[],[f15333,f78]) ).

fof(f15333,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(zero,X3,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_336 ),
    inference(avatar_component_clause,[],[f15332]) ).

fof(f77635,plain,
    ( spl0_859
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f15936,f15328,f77,f73,f77633]) ).

fof(f77633,plain,
    ( spl0_859
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X1,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).

fof(f15328,plain,
    ( spl0_335
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f15936,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X1,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_335 ),
    inference(forward_demodulation,[],[f15879,f74]) ).

fof(f15879,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(true,true,ifeq(quotient(X1,X0,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_335 ),
    inference(superposition,[],[f15329,f78]) ).

fof(f15329,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f15328]) ).

fof(f77631,plain,
    ( spl0_858
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f15846,f15319,f77,f73,f77629]) ).

fof(f77629,plain,
    ( spl0_858
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).

fof(f15319,plain,
    ( spl0_333
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f15846,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f15796,f74]) ).

fof(f15796,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(true,true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_333 ),
    inference(superposition,[],[f15320,f78]) ).

fof(f15320,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_333 ),
    inference(avatar_component_clause,[],[f15319]) ).

fof(f77627,plain,
    ( spl0_857
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f15765,f15315,f77,f73,f77625]) ).

fof(f77625,plain,
    ( spl0_857
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,X1,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).

fof(f15315,plain,
    ( spl0_332
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f15765,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X0,X1,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_332 ),
    inference(forward_demodulation,[],[f15717,f74]) ).

fof(f15717,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(true,true,ifeq(quotient(X0,X1,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_332 ),
    inference(superposition,[],[f15316,f78]) ).

fof(f15316,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_332 ),
    inference(avatar_component_clause,[],[f15315]) ).

fof(f77623,plain,
    ( spl0_856
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5365,f4785,f194,f73,f77621]) ).

fof(f77621,plain,
    ( spl0_856
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),X2,X4),true,less_equal(X4,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).

fof(f194,plain,
    ( spl0_23
  <=> ! [X5,X4,X13,X12,X3] : true = ifeq(quotient(X4,X5,X12),true,ifeq(quotient(X3,X5,X13),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f4785,plain,
    ( spl0_129
  <=> ! [X0,X1] : true = less_equal(divide(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f5365,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),X2,X4),true,less_equal(X4,X3),true),true)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5262,f74]) ).

fof(f5262,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),X2,X4),true,ifeq(true,true,less_equal(X4,X3),true),true),true)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(superposition,[],[f195,f4786]) ).

fof(f4786,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,X1),X0)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f4785]) ).

fof(f195,plain,
    ( ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X4,X5,X12),true,ifeq(quotient(X3,X5,X13),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f77619,plain,
    ( spl0_855
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5362,f4785,f190,f73,f77617]) ).

fof(f77617,plain,
    ( spl0_855
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,divide(X0,X1),X4),true,less_equal(X3,X4),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).

fof(f190,plain,
    ( spl0_22
  <=> ! [X5,X4,X13,X12,X3] : true = ifeq(quotient(X5,X4,X13),true,ifeq(quotient(X5,X3,X12),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f5362,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,divide(X0,X1),X4),true,less_equal(X3,X4),true),true)
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5260,f74]) ).

fof(f5260,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,divide(X0,X1),X4),true,ifeq(true,true,less_equal(X3,X4),true),true),true)
    | ~ spl0_22
    | ~ spl0_129 ),
    inference(superposition,[],[f191,f4786]) ).

fof(f191,plain,
    ( ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X5,X4,X13),true,ifeq(quotient(X5,X3,X12),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f77615,plain,
    ( spl0_854
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5359,f4785,f186,f73,f77613]) ).

fof(f77613,plain,
    ( spl0_854
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,X4,divide(X0,X1)),true,less_equal(X3,X4),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).

fof(f186,plain,
    ( spl0_21
  <=> ! [X4,X13,X12,X5,X3] : true = ifeq(quotient(X3,X5,X12),true,ifeq(quotient(X3,X4,X13),true,ifeq(less_equal(X13,X5),true,less_equal(X12,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f5359,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,X4,divide(X0,X1)),true,less_equal(X3,X4),true),true)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5258,f74]) ).

fof(f5258,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X2,X4,divide(X0,X1)),true,ifeq(true,true,less_equal(X3,X4),true),true),true)
    | ~ spl0_21
    | ~ spl0_129 ),
    inference(superposition,[],[f187,f4786]) ).

fof(f187,plain,
    ( ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X3,X5,X12),true,ifeq(quotient(X3,X4,X13),true,ifeq(less_equal(X13,X5),true,less_equal(X12,X4),true),true),true)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f77611,plain,
    ( spl0_853
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5254,f4785,f127,f77609]) ).

fof(f127,plain,
    ( spl0_17
  <=> ! [X4,X3] : ifeq2(less_equal(X4,X3),true,ifeq2(less_equal(X3,X4),true,X3,X4),X4) = X4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f5254,plain,
    ( ! [X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(less_equal(X0,divide(X0,X1)),true,X0,divide(X0,X1)),divide(X0,X1))
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(superposition,[],[f128,f4786]) ).

fof(f128,plain,
    ( ! [X3,X4] : ifeq2(less_equal(X4,X3),true,ifeq2(less_equal(X3,X4),true,X3,X4),X4) = X4
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f76267,plain,
    ( spl0_852
    | ~ spl0_163
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f73083,f72980,f7179,f76265]) ).

fof(f76265,plain,
    ( spl0_852
  <=> ! [X0] : idQa = ifeq2(quotient(identity,idQ_idQa,X0),true,X0,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).

fof(f7179,plain,
    ( spl0_163
  <=> ! [X2,X0,X1] : divide(X0,X1) = ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f72980,plain,
    ( spl0_807
  <=> idQa = divide(identity,idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).

fof(f73083,plain,
    ( ! [X0] : idQa = ifeq2(quotient(identity,idQ_idQa,X0),true,X0,idQa)
    | ~ spl0_163
    | ~ spl0_807 ),
    inference(superposition,[],[f7180,f72982]) ).

fof(f72982,plain,
    ( idQa = divide(identity,idQ_idQa)
    | ~ spl0_807 ),
    inference(avatar_component_clause,[],[f72980]) ).

fof(f7180,plain,
    ( ! [X2,X0,X1] : divide(X0,X1) = ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1))
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f7179]) ).

fof(f75855,plain,
    ( spl0_851
    | ~ spl0_41
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f73068,f72980,f610,f75853]) ).

fof(f75853,plain,
    ( spl0_851
  <=> ! [X0] : ifeq2(quotient(identity,idQ_idQa,X0),true,idQa,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).

fof(f610,plain,
    ( spl0_41
  <=> ! [X2,X0,X1] : ifeq2(quotient(X0,X1,X2),true,divide(X0,X1),X2) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f73068,plain,
    ( ! [X0] : ifeq2(quotient(identity,idQ_idQa,X0),true,idQa,X0) = X0
    | ~ spl0_41
    | ~ spl0_807 ),
    inference(superposition,[],[f611,f72982]) ).

fof(f611,plain,
    ( ! [X2,X0,X1] : ifeq2(quotient(X0,X1,X2),true,divide(X0,X1),X2) = X2
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f74335,plain,
    ( spl0_850
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f15230,f10929,f77,f73,f74333]) ).

fof(f74333,plain,
    ( spl0_850
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(idQ_idQa,idQa),X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).

fof(f10929,plain,
    ( spl0_322
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f15230,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(idQ_idQa,idQa),X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_322 ),
    inference(forward_demodulation,[],[f15199,f74]) ).

fof(f15199,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(idQ_idQa,idQa),X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_322 ),
    inference(superposition,[],[f10930,f78]) ).

fof(f10930,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_322 ),
    inference(avatar_component_clause,[],[f10929]) ).

fof(f74331,plain,
    ( spl0_849
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f15060,f10917,f77,f73,f74329]) ).

fof(f74329,plain,
    ( spl0_849
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).

fof(f15060,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(forward_demodulation,[],[f15043,f74]) ).

fof(f15043,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(superposition,[],[f10918,f78]) ).

fof(f74327,plain,
    ( spl0_848
    | ~ spl0_696
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f73053,f72980,f57907,f74325]) ).

fof(f74325,plain,
    ( spl0_848
  <=> ! [X0] : true = less_equal(divide(X0,idQ_idQa),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).

fof(f57907,plain,
    ( spl0_696
  <=> ! [X0,X1] : true = less_equal(divide(X0,X1),divide(identity,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f73053,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQ_idQa),idQa)
    | ~ spl0_696
    | ~ spl0_807 ),
    inference(superposition,[],[f57908,f72982]) ).

fof(f57908,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,X1),divide(identity,X1))
    | ~ spl0_696 ),
    inference(avatar_component_clause,[],[f57907]) ).

fof(f74323,plain,
    ( spl0_847
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14925,f10905,f77,f73,f74321]) ).

fof(f74321,plain,
    ( spl0_847
  <=> ! [X0,X1] : true = ifeq(quotient(divide(idQa,idQa_Q__idQ_idQa),X0,X1),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).

fof(f14925,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(idQa,idQa_Q__idQ_idQa),X0,X1),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(forward_demodulation,[],[f14903,f74]) ).

fof(f14903,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(idQa,idQa_Q__idQ_idQa),X0,X1),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f78]) ).

fof(f74319,plain,
    ( spl0_846
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f14924,f10905,f77,f73,f74317]) ).

fof(f74317,plain,
    ( spl0_846
  <=> ! [X0,X1] : true = ifeq(quotient(X0,divide(idQ_idQa,idQa_Q__idQ_idQa),X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).

fof(f14924,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(idQ_idQa,idQa_Q__idQ_idQa),X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(forward_demodulation,[],[f14902,f74]) ).

fof(f14902,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(idQ_idQa,idQa_Q__idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_316 ),
    inference(superposition,[],[f10906,f78]) ).

fof(f74315,plain,
    ( spl0_845
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f14696,f10885,f77,f73,f74313]) ).

fof(f74313,plain,
    ( spl0_845
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).

fof(f14696,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_311 ),
    inference(forward_demodulation,[],[f14676,f74]) ).

fof(f14676,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_311 ),
    inference(superposition,[],[f10886,f78]) ).

fof(f74310,plain,
    ( spl0_844
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f14549,f10873,f77,f73,f74308]) ).

fof(f74308,plain,
    ( spl0_844
  <=> ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).

fof(f14549,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_308 ),
    inference(forward_demodulation,[],[f14523,f74]) ).

fof(f14523,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_308 ),
    inference(superposition,[],[f10874,f78]) ).

fof(f74306,plain,
    ( spl0_843
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f14311,f10857,f77,f73,f74304]) ).

fof(f74304,plain,
    ( spl0_843
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(idQa,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).

fof(f14311,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(idQa,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_304 ),
    inference(forward_demodulation,[],[f14291,f74]) ).

fof(f14291,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(idQa,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_304 ),
    inference(superposition,[],[f10858,f78]) ).

fof(f74302,plain,
    ( spl0_842
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f14154,f10839,f77,f73,f74300]) ).

fof(f74300,plain,
    ( spl0_842
  <=> ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQa),X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).

fof(f14154,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQa),X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_300 ),
    inference(forward_demodulation,[],[f14129,f74]) ).

fof(f14129,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQa),X1),true,ifeq(true,true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_300 ),
    inference(superposition,[],[f10840,f78]) ).

fof(f74297,plain,
    ( spl0_841
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f13989,f10827,f77,f73,f74295]) ).

fof(f74295,plain,
    ( spl0_841
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(identity,idQ_idQa),X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).

fof(f13989,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(identity,idQ_idQa),X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_297 ),
    inference(forward_demodulation,[],[f13963,f74]) ).

fof(f13963,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(identity,idQ_idQa),X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_297 ),
    inference(superposition,[],[f10828,f78]) ).

fof(f74293,plain,
    ( spl0_840
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f13930,f10823,f77,f73,f74291]) ).

fof(f74291,plain,
    ( spl0_840
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).

fof(f10823,plain,
    ( spl0_296
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f13930,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_296 ),
    inference(forward_demodulation,[],[f13906,f74]) ).

fof(f13906,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,divide(idQa_Q__idQ_idQa,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_296 ),
    inference(superposition,[],[f10824,f78]) ).

fof(f10824,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_296 ),
    inference(avatar_component_clause,[],[f10823]) ).

fof(f74289,plain,
    ( spl0_839
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f13875,f10819,f77,f73,f74287]) ).

fof(f74287,plain,
    ( spl0_839
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).

fof(f13875,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_295 ),
    inference(forward_demodulation,[],[f13857,f74]) ).

fof(f13857,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_295 ),
    inference(superposition,[],[f10820,f78]) ).

fof(f74285,plain,
    ( spl0_838
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f13830,f10815,f77,f73,f74283]) ).

fof(f74283,plain,
    ( spl0_838
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).

fof(f13830,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_294 ),
    inference(forward_demodulation,[],[f13812,f74]) ).

fof(f13812,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_294 ),
    inference(superposition,[],[f10816,f78]) ).

fof(f73399,plain,
    ( spl0_837
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f13794,f10811,f77,f73,f73397]) ).

fof(f73397,plain,
    ( spl0_837
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,zero),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).

fof(f13794,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,zero),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f13773,f74]) ).

fof(f13773,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(idQa,X0,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_293 ),
    inference(superposition,[],[f10812,f78]) ).

fof(f73395,plain,
    ( spl0_836
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f13757,f10733,f77,f73,f73393]) ).

fof(f73393,plain,
    ( spl0_836
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).

fof(f13757,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_292 ),
    inference(forward_demodulation,[],[f13738,f74]) ).

fof(f13738,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_292 ),
    inference(superposition,[],[f10734,f78]) ).

fof(f73391,plain,
    ( spl0_835
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f13590,f10721,f77,f73,f73389]) ).

fof(f73389,plain,
    ( spl0_835
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).

fof(f10721,plain,
    ( spl0_289
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f13590,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_289 ),
    inference(forward_demodulation,[],[f13565,f74]) ).

fof(f13565,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(idQ_idQa,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_289 ),
    inference(superposition,[],[f10722,f78]) ).

fof(f10722,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f10721]) ).

fof(f73387,plain,
    ( spl0_834
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f13540,f10717,f77,f73,f73385]) ).

fof(f73385,plain,
    ( spl0_834
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(a,idQa),X0),true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).

fof(f13540,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(a,idQa),X0),true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_288 ),
    inference(forward_demodulation,[],[f13516,f74]) ).

fof(f13516,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(a,idQa),X0),true,ifeq(quotient(idQa,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_288 ),
    inference(superposition,[],[f10718,f78]) ).

fof(f73383,plain,
    ( spl0_833
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f13479,f10713,f77,f73,f73381]) ).

fof(f73381,plain,
    ( spl0_833
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).

fof(f13479,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_287 ),
    inference(forward_demodulation,[],[f13458,f74]) ).

fof(f13458,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_287 ),
    inference(superposition,[],[f10714,f78]) ).

fof(f73379,plain,
    ( spl0_832
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f13423,f10709,f77,f73,f73377]) ).

fof(f73377,plain,
    ( spl0_832
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).

fof(f13423,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(X0,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_286 ),
    inference(forward_demodulation,[],[f13401,f74]) ).

fof(f13401,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,divide(X0,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_286 ),
    inference(superposition,[],[f10710,f78]) ).

fof(f73375,plain,
    ( spl0_831
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f13376,f10705,f77,f73,f73373]) ).

fof(f73373,plain,
    ( spl0_831
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).

fof(f13376,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_285 ),
    inference(forward_demodulation,[],[f13349,f74]) ).

fof(f13349,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_285 ),
    inference(superposition,[],[f10706,f78]) ).

fof(f73371,plain,
    ( spl0_830
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f13331,f10701,f77,f73,f73369]) ).

fof(f73369,plain,
    ( spl0_830
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,idQa),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).

fof(f13331,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,idQa),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_284 ),
    inference(forward_demodulation,[],[f13310,f74]) ).

fof(f13310,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_284 ),
    inference(superposition,[],[f10702,f78]) ).

fof(f73367,plain,
    ( spl0_829
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f13171,f10684,f77,f73,f73365]) ).

fof(f73365,plain,
    ( spl0_829
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQa,a),X0),true,ifeq(quotient(idQ_idQa,a,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).

fof(f13171,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQa,a),X0),true,ifeq(quotient(idQ_idQa,a,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_280 ),
    inference(forward_demodulation,[],[f13150,f74]) ).

fof(f13150,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQa,a),X0),true,ifeq(quotient(idQ_idQa,a,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_280 ),
    inference(superposition,[],[f10685,f78]) ).

fof(f73363,plain,
    ( spl0_828
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f13120,f10680,f77,f73,f73361]) ).

fof(f73361,plain,
    ( spl0_828
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,a,X0),true,less_equal(X1,divide(idQa,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).

fof(f13120,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,a,X0),true,less_equal(X1,divide(idQa,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_279 ),
    inference(forward_demodulation,[],[f13098,f74]) ).

fof(f13098,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(a,a,X0),true,less_equal(X1,divide(idQa,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_279 ),
    inference(superposition,[],[f10681,f78]) ).

fof(f73359,plain,
    ( spl0_827
    | ~ spl0_13
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f73066,f72980,f77,f73356]) ).

fof(f73356,plain,
    ( spl0_827
  <=> true = quotient(identity,idQ_idQa,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).

fof(f73066,plain,
    ( true = quotient(identity,idQ_idQa,idQa)
    | ~ spl0_13
    | ~ spl0_807 ),
    inference(superposition,[],[f78,f72982]) ).

fof(f73354,plain,
    ( spl0_826
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f13063,f10676,f77,f73,f73352]) ).

fof(f73352,plain,
    ( spl0_826
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).

fof(f13063,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_278 ),
    inference(forward_demodulation,[],[f13042,f74]) ).

fof(f13042,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,divide(X0,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_278 ),
    inference(superposition,[],[f10677,f78]) ).

fof(f73350,plain,
    ( spl0_825
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f13011,f10672,f77,f73,f73348]) ).

fof(f73348,plain,
    ( spl0_825
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).

fof(f13011,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(X0,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_277 ),
    inference(forward_demodulation,[],[f12989,f74]) ).

fof(f12989,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X1),true,ifeq(true,true,ifeq(quotient(identity,a,X0),true,less_equal(X1,divide(X0,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_277 ),
    inference(superposition,[],[f10673,f78]) ).

fof(f73346,plain,
    ( spl0_824
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f12964,f10668,f77,f73,f73344]) ).

fof(f73344,plain,
    ( spl0_824
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).

fof(f12964,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_276 ),
    inference(forward_demodulation,[],[f12940,f74]) ).

fof(f12940,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_276 ),
    inference(superposition,[],[f10669,f78]) ).

fof(f73342,plain,
    ( spl0_823
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12919,f10664,f77,f73,f73340]) ).

fof(f73340,plain,
    ( spl0_823
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,a),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).

fof(f12919,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,a),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_275 ),
    inference(forward_demodulation,[],[f12902,f74]) ).

fof(f12902,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_275 ),
    inference(superposition,[],[f10665,f78]) ).

fof(f73277,plain,
    ( spl0_822
    | ~ spl0_807
    | ~ spl0_821 ),
    inference(avatar_split_clause,[],[f73273,f73270,f72980,f73275]) ).

fof(f73275,plain,
    ( spl0_822
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).

fof(f73270,plain,
    ( spl0_821
  <=> ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).

fof(f73273,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_807
    | ~ spl0_821 ),
    inference(forward_demodulation,[],[f73271,f72982]) ).

fof(f73271,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_821 ),
    inference(avatar_component_clause,[],[f73270]) ).

fof(f73272,plain,
    ( spl0_821
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f12875,f10660,f77,f73,f73270]) ).

fof(f10660,plain,
    ( spl0_274
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f12875,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(forward_demodulation,[],[f12853,f74]) ).

fof(f12853,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(superposition,[],[f10661,f78]) ).

fof(f10661,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f10660]) ).

fof(f73268,plain,
    ( spl0_820
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f12724,f10290,f77,f73,f73266]) ).

fof(f73266,plain,
    ( spl0_820
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).

fof(f10290,plain,
    ( spl0_271
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f12724,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_271 ),
    inference(forward_demodulation,[],[f12699,f74]) ).

fof(f12699,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_271 ),
    inference(superposition,[],[f10291,f78]) ).

fof(f10291,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f10290]) ).

fof(f73264,plain,
    ( spl0_819
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12668,f10286,f77,f73,f73262]) ).

fof(f73262,plain,
    ( spl0_819
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).

fof(f10286,plain,
    ( spl0_270
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f12668,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12641,f74]) ).

fof(f12641,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_270 ),
    inference(superposition,[],[f10287,f78]) ).

fof(f10287,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f10286]) ).

fof(f73260,plain,
    ( spl0_818
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f12618,f10282,f77,f73,f73258]) ).

fof(f73258,plain,
    ( spl0_818
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(divide(idQ_idQa,idQa),idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).

fof(f10282,plain,
    ( spl0_269
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f12618,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(divide(idQ_idQa,idQa),idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(forward_demodulation,[],[f12594,f74]) ).

fof(f12594,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(divide(idQ_idQa,idQa),idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(superposition,[],[f10283,f78]) ).

fof(f10283,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f10282]) ).

fof(f73023,plain,
    ( spl0_817
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f12615,f10282,f77,f73,f73021]) ).

fof(f73021,plain,
    ( spl0_817
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).

fof(f12615,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(forward_demodulation,[],[f12591,f74]) ).

fof(f12591,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_269 ),
    inference(superposition,[],[f10283,f78]) ).

fof(f73019,plain,
    ( spl0_816
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f12568,f10278,f77,f73,f73017]) ).

fof(f73017,plain,
    ( spl0_816
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,zero),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).

fof(f10278,plain,
    ( spl0_268
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,zero),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f12568,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,zero),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_268 ),
    inference(forward_demodulation,[],[f12547,f74]) ).

fof(f12547,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,idQa,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_268 ),
    inference(superposition,[],[f10279,f78]) ).

fof(f10279,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f10278]) ).

fof(f73015,plain,
    ( spl0_815
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f12531,f10274,f77,f73,f73013]) ).

fof(f73013,plain,
    ( spl0_815
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,idQ_idQa),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).

fof(f10274,plain,
    ( spl0_267
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQ_idQa),true,less_equal(X1,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f12531,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,idQ_idQa),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f12513,f74]) ).

fof(f12513,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,idQa,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_267 ),
    inference(superposition,[],[f10275,f78]) ).

fof(f10275,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_267 ),
    inference(avatar_component_clause,[],[f10274]) ).

fof(f73011,plain,
    ( spl0_814
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f12483,f10270,f77,f73,f73009]) ).

fof(f73009,plain,
    ( spl0_814
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(zero,idQa,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).

fof(f12483,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(zero,idQa,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_266 ),
    inference(forward_demodulation,[],[f12453,f74]) ).

fof(f12453,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(zero,idQa,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_13
    | ~ spl0_266 ),
    inference(superposition,[],[f10271,f78]) ).

fof(f73007,plain,
    ( spl0_813
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f12412,f10266,f77,f73,f73005]) ).

fof(f73005,plain,
    ( spl0_813
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).

fof(f10266,plain,
    ( spl0_265
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f12412,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_265 ),
    inference(forward_demodulation,[],[f12385,f74]) ).

fof(f12385,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_265 ),
    inference(superposition,[],[f10267,f78]) ).

fof(f10267,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f10266]) ).

fof(f73003,plain,
    ( spl0_812
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f12352,f10262,f77,f73,f73001]) ).

fof(f73001,plain,
    ( spl0_812
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).

fof(f10262,plain,
    ( spl0_264
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f12352,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_264 ),
    inference(forward_demodulation,[],[f12324,f74]) ).

fof(f12324,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_264 ),
    inference(superposition,[],[f10263,f78]) ).

fof(f10263,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f10262]) ).

fof(f72999,plain,
    ( spl0_811
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f12293,f10258,f77,f73,f72997]) ).

fof(f72997,plain,
    ( spl0_811
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).

fof(f10258,plain,
    ( spl0_263
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(idQa,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f12293,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_263 ),
    inference(forward_demodulation,[],[f12268,f74]) ).

fof(f12268,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,divide(X0,idQa)),true),true),true)
    | ~ spl0_13
    | ~ spl0_263 ),
    inference(superposition,[],[f10259,f78]) ).

fof(f10259,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(idQa,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f10258]) ).

fof(f72995,plain,
    ( spl0_810
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f12252,f10254,f77,f73,f72993]) ).

fof(f72993,plain,
    ( spl0_810
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,idQa),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).

fof(f12252,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,idQa),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_262 ),
    inference(forward_demodulation,[],[f12234,f74]) ).

fof(f12234,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_262 ),
    inference(superposition,[],[f10255,f78]) ).

fof(f72991,plain,
    ( spl0_809
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f12203,f10245,f77,f73,f72989]) ).

fof(f72989,plain,
    ( spl0_809
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(zero,a,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).

fof(f12203,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(zero,a,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_260 ),
    inference(forward_demodulation,[],[f12170,f74]) ).

fof(f12170,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(zero,a,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_13
    | ~ spl0_260 ),
    inference(superposition,[],[f10246,f78]) ).

fof(f72987,plain,
    ( spl0_808
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f12132,f10241,f77,f73,f72985]) ).

fof(f72985,plain,
    ( spl0_808
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X1),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).

fof(f10241,plain,
    ( spl0_259
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f12132,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X1),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f12105,f74]) ).

fof(f12105,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X1),true,ifeq(true,true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,divide(X0,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(superposition,[],[f10242,f78]) ).

fof(f10242,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f10241]) ).

fof(f72983,plain,
    ( spl0_807
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_738
    | ~ spl0_787 ),
    inference(avatar_split_clause,[],[f72472,f72034,f60127,f127,f69,f72980]) ).

fof(f60127,plain,
    ( spl0_738
  <=> true = less_equal(divide(identity,idQ_idQa),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).

fof(f72034,plain,
    ( spl0_787
  <=> true = less_equal(idQa,divide(identity,idQ_idQa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).

fof(f72472,plain,
    ( idQa = divide(identity,idQ_idQa)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_738
    | ~ spl0_787 ),
    inference(forward_demodulation,[],[f72471,f70]) ).

fof(f72471,plain,
    ( divide(identity,idQ_idQa) = ifeq2(true,true,idQa,divide(identity,idQ_idQa))
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_738
    | ~ spl0_787 ),
    inference(forward_demodulation,[],[f72470,f60129]) ).

fof(f60129,plain,
    ( true = less_equal(divide(identity,idQ_idQa),idQa)
    | ~ spl0_738 ),
    inference(avatar_component_clause,[],[f60127]) ).

fof(f72470,plain,
    ( divide(identity,idQ_idQa) = ifeq2(less_equal(divide(identity,idQ_idQa),idQa),true,idQa,divide(identity,idQ_idQa))
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_787 ),
    inference(forward_demodulation,[],[f72143,f70]) ).

fof(f72143,plain,
    ( divide(identity,idQ_idQa) = ifeq2(less_equal(divide(identity,idQ_idQa),idQa),true,ifeq2(true,true,idQa,divide(identity,idQ_idQa)),divide(identity,idQ_idQa))
    | ~ spl0_17
    | ~ spl0_787 ),
    inference(superposition,[],[f128,f72036]) ).

fof(f72036,plain,
    ( true = less_equal(idQa,divide(identity,idQ_idQa))
    | ~ spl0_787 ),
    inference(avatar_component_clause,[],[f72034]) ).

fof(f72978,plain,
    ( spl0_806
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f12072,f10237,f77,f73,f72976]) ).

fof(f72976,plain,
    ( spl0_806
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).

fof(f10237,plain,
    ( spl0_258
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f12072,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_258 ),
    inference(forward_demodulation,[],[f12044,f74]) ).

fof(f12044,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(true,true,ifeq(quotient(zero,identity,X0),true,less_equal(X1,divide(X0,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_258 ),
    inference(superposition,[],[f10238,f78]) ).

fof(f10238,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_258 ),
    inference(avatar_component_clause,[],[f10237]) ).

fof(f72974,plain,
    ( spl0_805
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f12013,f10233,f77,f73,f72972]) ).

fof(f72972,plain,
    ( spl0_805
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(a,identity,X0),true,less_equal(X1,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).

fof(f10233,plain,
    ( spl0_257
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(a,identity,X1),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f12013,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(a,identity,X0),true,less_equal(X1,divide(X0,a)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f11988,f74]) ).

fof(f11988,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X1),true,ifeq(true,true,ifeq(quotient(a,identity,X0),true,less_equal(X1,divide(X0,a)),true),true),true)
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(superposition,[],[f10234,f78]) ).

fof(f10234,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(a,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f10233]) ).

fof(f72970,plain,
    ( spl0_804
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f11972,f10229,f77,f73,f72968]) ).

fof(f72968,plain,
    ( spl0_804
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,a),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).

fof(f11972,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,a),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_256 ),
    inference(forward_demodulation,[],[f11951,f74]) ).

fof(f11951,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_13
    | ~ spl0_256 ),
    inference(superposition,[],[f10230,f78]) ).

fof(f72935,plain,
    ( spl0_803
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_738
    | ~ spl0_787
    | ~ spl0_802 ),
    inference(avatar_split_clause,[],[f72931,f72928,f72034,f60127,f127,f69,f72933]) ).

fof(f72933,plain,
    ( spl0_803
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).

fof(f72928,plain,
    ( spl0_802
  <=> ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).

fof(f72931,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_738
    | ~ spl0_787
    | ~ spl0_802 ),
    inference(forward_demodulation,[],[f72929,f72472]) ).

fof(f72929,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_802 ),
    inference(avatar_component_clause,[],[f72928]) ).

fof(f72930,plain,
    ( spl0_802
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f11936,f10225,f77,f73,f72928]) ).

fof(f11936,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(forward_demodulation,[],[f11909,f74]) ).

fof(f11909,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(identity,idQ_idQa),X0,X1),true,ifeq(quotient(a,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(superposition,[],[f10226,f78]) ).

fof(f72926,plain,
    ( spl0_801
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f11935,f10225,f77,f73,f72924]) ).

fof(f72924,plain,
    ( spl0_801
  <=> ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQ_idQa),X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).

fof(f11935,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQ_idQa),X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(forward_demodulation,[],[f11908,f74]) ).

fof(f11908,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,divide(a,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_255 ),
    inference(superposition,[],[f10226,f78]) ).

fof(f72922,plain,
    ( spl0_800
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f11831,f10217,f77,f73,f72920]) ).

fof(f72920,plain,
    ( spl0_800
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).

fof(f10217,plain,
    ( spl0_253
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f11831,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_253 ),
    inference(forward_demodulation,[],[f11806,f74]) ).

fof(f11806,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_253 ),
    inference(superposition,[],[f10218,f78]) ).

fof(f10218,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_253 ),
    inference(avatar_component_clause,[],[f10217]) ).

fof(f72918,plain,
    ( spl0_799
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f11788,f10213,f77,f73,f72916]) ).

fof(f72916,plain,
    ( spl0_799
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(quotient(zero,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).

fof(f10213,plain,
    ( spl0_252
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(zero,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f11788,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(quotient(zero,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_252 ),
    inference(forward_demodulation,[],[f11760,f74]) ).

fof(f11760,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(zero,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_252 ),
    inference(superposition,[],[f10214,f78]) ).

fof(f10214,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(zero,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f10213]) ).

fof(f72914,plain,
    ( spl0_798
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f11744,f10209,f77,f73,f72912]) ).

fof(f72912,plain,
    ( spl0_798
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQ_idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).

fof(f10209,plain,
    ( spl0_251
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f11744,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(quotient(idQ_idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_251 ),
    inference(forward_demodulation,[],[f11719,f74]) ).

fof(f11719,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQ_idQa),X1),true,ifeq(true,true,ifeq(quotient(idQ_idQa,X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_251 ),
    inference(superposition,[],[f10210,f78]) ).

fof(f10210,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f10209]) ).

fof(f72077,plain,
    ( spl0_797
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f11702,f10203,f77,f73,f72075]) ).

fof(f72075,plain,
    ( spl0_797
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).

fof(f10203,plain,
    ( spl0_250
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f11702,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X0,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_250 ),
    inference(forward_demodulation,[],[f11687,f74]) ).

fof(f11687,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_250 ),
    inference(superposition,[],[f10204,f78]) ).

fof(f10204,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_250 ),
    inference(avatar_component_clause,[],[f10203]) ).

fof(f72073,plain,
    ( spl0_796
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11669,f10199,f77,f73,f72071]) ).

fof(f72071,plain,
    ( spl0_796
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(quotient(X0,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).

fof(f11669,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(quotient(X0,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_249 ),
    inference(forward_demodulation,[],[f11655,f74]) ).

fof(f11655,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_249 ),
    inference(superposition,[],[f10200,f78]) ).

fof(f72069,plain,
    ( spl0_795
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f11639,f10195,f77,f73,f72067]) ).

fof(f72067,plain,
    ( spl0_795
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(quotient(X0,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).

fof(f11639,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(quotient(X0,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_248 ),
    inference(forward_demodulation,[],[f11625,f74]) ).

fof(f11625,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_248 ),
    inference(superposition,[],[f10196,f78]) ).

fof(f72065,plain,
    ( spl0_794
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f11544,f10187,f77,f73,f72063]) ).

fof(f72063,plain,
    ( spl0_794
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).

fof(f10187,plain,
    ( spl0_246
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f11544,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(forward_demodulation,[],[f11516,f74]) ).

fof(f11516,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(superposition,[],[f10188,f78]) ).

fof(f10188,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_246 ),
    inference(avatar_component_clause,[],[f10187]) ).

fof(f72061,plain,
    ( spl0_793
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f11494,f10183,f77,f73,f72059]) ).

fof(f72059,plain,
    ( spl0_793
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).

fof(f10183,plain,
    ( spl0_245
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f11494,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_245 ),
    inference(forward_demodulation,[],[f11463,f74]) ).

fof(f11463,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(true,true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_245 ),
    inference(superposition,[],[f10184,f78]) ).

fof(f10184,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f10183]) ).

fof(f72057,plain,
    ( spl0_792
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f11439,f10179,f77,f73,f72055]) ).

fof(f72055,plain,
    ( spl0_792
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(quotient(idQa,X0,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).

fof(f10179,plain,
    ( spl0_244
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(idQa,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f11439,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(quotient(idQa,X0,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_244 ),
    inference(forward_demodulation,[],[f11411,f74]) ).

fof(f11411,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,idQa),X1),true,ifeq(true,true,ifeq(quotient(idQa,X0,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_244 ),
    inference(superposition,[],[f10180,f78]) ).

fof(f10180,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(idQa,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f10179]) ).

fof(f72053,plain,
    ( spl0_791
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f11390,f10175,f77,f73,f72051]) ).

fof(f72051,plain,
    ( spl0_791
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).

fof(f11390,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_243 ),
    inference(forward_demodulation,[],[f11372,f74]) ).

fof(f11372,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_243 ),
    inference(superposition,[],[f10176,f78]) ).

fof(f72049,plain,
    ( spl0_790
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f11350,f10171,f77,f73,f72047]) ).

fof(f72047,plain,
    ( spl0_790
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).

fof(f11350,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f11334,f74]) ).

fof(f11334,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_242 ),
    inference(superposition,[],[f10172,f78]) ).

fof(f72045,plain,
    ( spl0_789
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f11314,f10167,f77,f73,f72043]) ).

fof(f72043,plain,
    ( spl0_789
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(quotient(X0,idQa,identity),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).

fof(f11314,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(quotient(X0,idQa,identity),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_241 ),
    inference(forward_demodulation,[],[f11297,f74]) ).

fof(f11297,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,idQa),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,idQa,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_241 ),
    inference(superposition,[],[f10168,f78]) ).

fof(f72041,plain,
    ( spl0_788
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f11208,f10154,f77,f73,f72039]) ).

fof(f72039,plain,
    ( spl0_788
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).

fof(f10154,plain,
    ( spl0_238
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f11208,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_238 ),
    inference(forward_demodulation,[],[f11179,f74]) ).

fof(f11179,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(identity,X0,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_238 ),
    inference(superposition,[],[f10155,f78]) ).

fof(f10155,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_238 ),
    inference(avatar_component_clause,[],[f10154]) ).

fof(f72037,plain,
    ( spl0_787
    | ~ spl0_12
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f71629,f34405,f73,f72034]) ).

fof(f34405,plain,
    ( spl0_547
  <=> true = ifeq(true,true,less_equal(idQa,divide(identity,idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f71629,plain,
    ( true = less_equal(idQa,divide(identity,idQ_idQa))
    | ~ spl0_12
    | ~ spl0_547 ),
    inference(superposition,[],[f34407,f74]) ).

fof(f34407,plain,
    ( true = ifeq(true,true,less_equal(idQa,divide(identity,idQ_idQa)),true)
    | ~ spl0_547 ),
    inference(avatar_component_clause,[],[f34405]) ).

fof(f72032,plain,
    ( spl0_786
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f11155,f10150,f77,f73,f72030]) ).

fof(f72030,plain,
    ( spl0_786
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).

fof(f10150,plain,
    ( spl0_237
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f11155,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_237 ),
    inference(forward_demodulation,[],[f11123,f74]) ).

fof(f11123,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(zero,X0,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_237 ),
    inference(superposition,[],[f10151,f78]) ).

fof(f10151,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f10150]) ).

fof(f72028,plain,
    ( spl0_785
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f11101,f10146,f77,f73,f72026]) ).

fof(f72026,plain,
    ( spl0_785
  <=> ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(quotient(a,X0,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).

fof(f10146,plain,
    ( spl0_236
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(a,X2,identity),true,less_equal(X1,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f11101,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(quotient(a,X0,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_236 ),
    inference(forward_demodulation,[],[f11072,f74]) ).

fof(f11072,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,divide(X0,a),X1),true,ifeq(true,true,ifeq(quotient(a,X0,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_236 ),
    inference(superposition,[],[f10147,f78]) ).

fof(f10147,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(a,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f10146]) ).

fof(f72024,plain,
    ( spl0_784
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f11049,f10142,f77,f73,f72022]) ).

fof(f72022,plain,
    ( spl0_784
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).

fof(f11049,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f11027,f74]) ).

fof(f11027,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,identity,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_235 ),
    inference(superposition,[],[f10143,f78]) ).

fof(f72020,plain,
    ( spl0_783
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f11002,f10138,f77,f73,f72018]) ).

fof(f72018,plain,
    ( spl0_783
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).

fof(f11002,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_234 ),
    inference(forward_demodulation,[],[f10985,f74]) ).

fof(f10985,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,zero,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_234 ),
    inference(superposition,[],[f10139,f78]) ).

fof(f72016,plain,
    ( spl0_782
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f10959,f10134,f77,f73,f72014]) ).

fof(f72014,plain,
    ( spl0_782
  <=> ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(quotient(X0,a,identity),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).

fof(f10959,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(quotient(X0,a,identity),true,less_equal(X1,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_233 ),
    inference(forward_demodulation,[],[f10941,f74]) ).

fof(f10941,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(X0,a),zero,X1),true,ifeq(true,true,ifeq(quotient(X0,a,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_13
    | ~ spl0_233 ),
    inference(superposition,[],[f10135,f78]) ).

fof(f72011,plain,
    ( spl0_781
    | ~ spl0_12
    | ~ spl0_100
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5396,f4785,f1981,f73,f72009]) ).

fof(f72009,plain,
    ( spl0_781
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,less_equal(X3,divide(X0,X2)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).

fof(f1981,plain,
    ( spl0_100
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X2,X0),true,less_equal(X3,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f5396,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,less_equal(X3,divide(X0,X2)),true),true)
    | ~ spl0_12
    | ~ spl0_100
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5288,f74]) ).

fof(f5288,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(true,true,less_equal(X3,divide(X0,X2)),true),true),true)
    | ~ spl0_100
    | ~ spl0_129 ),
    inference(superposition,[],[f1982,f4786]) ).

fof(f1982,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X2,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f72006,plain,
    ( spl0_780
    | ~ spl0_12
    | ~ spl0_98
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5395,f4785,f1973,f73,f72004]) ).

fof(f72004,plain,
    ( spl0_780
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,divide(X0,X1),X3),true,less_equal(divide(X2,X0),X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).

fof(f1973,plain,
    ( spl0_98
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f5395,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,divide(X0,X1),X3),true,less_equal(divide(X2,X0),X3),true),true)
    | ~ spl0_12
    | ~ spl0_98
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5287,f74]) ).

fof(f5287,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,less_equal(divide(X2,X0),X3),true),true),true)
    | ~ spl0_98
    | ~ spl0_129 ),
    inference(superposition,[],[f1974,f4786]) ).

fof(f1974,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),X3),true),true),true)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f72001,plain,
    ( spl0_779
    | ~ spl0_12
    | ~ spl0_97
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5394,f4785,f1969,f73,f71999]) ).

fof(f71999,plain,
    ( spl0_779
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,divide(X0,X1)),true,less_equal(divide(X2,X0),X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).

fof(f1969,plain,
    ( spl0_97
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X3,X1),true,less_equal(divide(X0,X1),X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f5394,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,divide(X0,X1)),true,less_equal(divide(X2,X0),X3),true),true)
    | ~ spl0_12
    | ~ spl0_97
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5286,f74]) ).

fof(f5286,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,divide(X0,X1)),true,ifeq(true,true,less_equal(divide(X2,X0),X3),true),true),true)
    | ~ spl0_97
    | ~ spl0_129 ),
    inference(superposition,[],[f1970,f4786]) ).

fof(f1970,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X3,X1),true,less_equal(divide(X0,X1),X2),true),true),true)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f1969]) ).

fof(f67694,plain,
    ( spl0_778
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f18069,f15422,f73,f65,f67692]) ).

fof(f67692,plain,
    ( spl0_778
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).

fof(f18069,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_358 ),
    inference(forward_demodulation,[],[f18005,f74]) ).

fof(f18005,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,X0,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_358 ),
    inference(superposition,[],[f15423,f66]) ).

fof(f67690,plain,
    ( spl0_777
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17686,f15401,f73,f61,f67688]) ).

fof(f67688,plain,
    ( spl0_777
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X1),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).

fof(f61,plain,
    ( spl0_9
  <=> ! [X3] : true = quotient(X3,X3,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f17686,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X1),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_353 ),
    inference(forward_demodulation,[],[f17615,f74]) ).

fof(f17615,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X1),true,ifeq(quotient(zero,zero,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f62]) ).

fof(f62,plain,
    ( ! [X3] : true = quotient(X3,X3,zero)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f67686,plain,
    ( spl0_776
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f17685,f15401,f73,f53,f67684]) ).

fof(f67684,plain,
    ( spl0_776
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).

fof(f53,plain,
    ( spl0_7
  <=> ! [X3] : true = quotient(X3,identity,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f17685,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_353 ),
    inference(forward_demodulation,[],[f17614,f74]) ).

fof(f17614,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(quotient(zero,zero,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_353 ),
    inference(superposition,[],[f15402,f54]) ).

fof(f54,plain,
    ( ! [X3] : true = quotient(X3,identity,zero)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f67682,plain,
    ( spl0_775
    | ~ spl0_12
    | ~ spl0_543 ),
    inference(avatar_split_clause,[],[f67636,f33472,f73,f67679]) ).

fof(f33472,plain,
    ( spl0_543
  <=> true = ifeq(true,true,less_equal(divide(idQa,a),idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f67636,plain,
    ( true = less_equal(divide(idQa,a),idQa_Q__idQ_idQa)
    | ~ spl0_12
    | ~ spl0_543 ),
    inference(superposition,[],[f33474,f74]) ).

fof(f33474,plain,
    ( true = ifeq(true,true,less_equal(divide(idQa,a),idQa_Q__idQ_idQa),true)
    | ~ spl0_543 ),
    inference(avatar_component_clause,[],[f33472]) ).

fof(f67677,plain,
    ( spl0_774
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_350 ),
    inference(avatar_split_clause,[],[f17358,f15389,f73,f61,f67675]) ).

fof(f67675,plain,
    ( spl0_774
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).

fof(f17358,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_350 ),
    inference(forward_demodulation,[],[f17291,f74]) ).

fof(f17291,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(zero,X0,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_350 ),
    inference(superposition,[],[f15390,f62]) ).

fof(f67673,plain,
    ( spl0_773
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f17174,f15381,f73,f65,f67671]) ).

fof(f67671,plain,
    ( spl0_773
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).

fof(f15381,plain,
    ( spl0_348
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,identity,X3),true,ifeq(quotient(X0,X4,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f17174,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_348 ),
    inference(forward_demodulation,[],[f17122,f74]) ).

fof(f17122,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,identity,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_348 ),
    inference(superposition,[],[f15382,f66]) ).

fof(f15382,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,identity,X3),true,ifeq(quotient(X0,X4,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_348 ),
    inference(avatar_component_clause,[],[f15381]) ).

fof(f67669,plain,
    ( spl0_772
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f16569,f15352,f73,f57,f67667]) ).

fof(f67667,plain,
    ( spl0_772
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).

fof(f57,plain,
    ( spl0_8
  <=> ! [X3] : true = quotient(zero,X3,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f15352,plain,
    ( spl0_341
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,zero),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f16569,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_341 ),
    inference(forward_demodulation,[],[f16508,f74]) ).

fof(f16508,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_341 ),
    inference(superposition,[],[f15353,f58]) ).

fof(f58,plain,
    ( ! [X3] : true = quotient(zero,X3,zero)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f15353,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_341 ),
    inference(avatar_component_clause,[],[f15352]) ).

fof(f67665,plain,
    ( spl0_771
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16349,f15344,f73,f65,f67663]) ).

fof(f67663,plain,
    ( spl0_771
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).

fof(f16349,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X0),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_339 ),
    inference(forward_demodulation,[],[f16281,f74]) ).

fof(f16281,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X1),true,ifeq(true,true,less_equal(X2,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f66]) ).

fof(f67661,plain,
    ( spl0_770
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f16347,f15344,f73,f53,f67659]) ).

fof(f67659,plain,
    ( spl0_770
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).

fof(f16347,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_339 ),
    inference(forward_demodulation,[],[f16279,f74]) ).

fof(f16279,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(identity,zero,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_339 ),
    inference(superposition,[],[f15345,f54]) ).

fof(f67657,plain,
    ( spl0_769
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16230,f15340,f73,f57,f67655]) ).

fof(f67655,plain,
    ( spl0_769
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).

fof(f16230,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(forward_demodulation,[],[f16158,f74]) ).

fof(f16158,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f58]) ).

fof(f67653,plain,
    ( spl0_768
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16228,f15340,f73,f65,f67651]) ).

fof(f67651,plain,
    ( spl0_768
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).

fof(f16228,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X0),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(forward_demodulation,[],[f16156,f74]) ).

fof(f16156,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f66]) ).

fof(f67649,plain,
    ( spl0_767
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16227,f15340,f73,f61,f67647]) ).

fof(f67647,plain,
    ( spl0_767
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).

fof(f16227,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(forward_demodulation,[],[f16155,f74]) ).

fof(f16155,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f62]) ).

fof(f67645,plain,
    ( spl0_766
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f16226,f15340,f73,f53,f67643]) ).

fof(f67643,plain,
    ( spl0_766
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).

fof(f16226,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_338 ),
    inference(forward_demodulation,[],[f16154,f74]) ).

fof(f16154,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_338 ),
    inference(superposition,[],[f15341,f54]) ).

fof(f67641,plain,
    ( spl0_765
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f15854,f15319,f73,f65,f67639]) ).

fof(f67639,plain,
    ( spl0_765
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).

fof(f15854,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f15804,f74]) ).

fof(f15804,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X0,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_333 ),
    inference(superposition,[],[f15320,f66]) ).

fof(f67635,plain,
    ( spl0_764
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f15504,f15303,f73,f53,f67633]) ).

fof(f67633,plain,
    ( spl0_764
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,identity,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).

fof(f15303,plain,
    ( spl0_329
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f15504,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,identity,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_329 ),
    inference(forward_demodulation,[],[f15470,f74]) ).

fof(f15470,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,identity,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_329 ),
    inference(superposition,[],[f15304,f54]) ).

fof(f15304,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_329 ),
    inference(avatar_component_clause,[],[f15303]) ).

fof(f67631,plain,
    ( spl0_763
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f15499,f15303,f73,f53,f67629]) ).

fof(f67629,plain,
    ( spl0_763
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,X2,X3),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).

fof(f15499,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X0,X2,X3),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_329 ),
    inference(forward_demodulation,[],[f15466,f74]) ).

fof(f15466,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(true,true,ifeq(quotient(X0,X2,X3),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_329 ),
    inference(superposition,[],[f15304,f54]) ).

fof(f67627,plain,
    ( spl0_762
    | ~ spl0_12
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f10085,f10051,f73,f67625]) ).

fof(f67625,plain,
    ( spl0_762
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(quotient(X0,X2,X3),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).

fof(f10051,plain,
    ( spl0_232
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,identity,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f10085,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(quotient(X0,X2,X3),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_232 ),
    inference(superposition,[],[f10052,f74]) ).

fof(f10052,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,identity,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_232 ),
    inference(avatar_component_clause,[],[f10051]) ).

fof(f67623,plain,
    ( spl0_761
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2244,f1189,f194,f73,f67621]) ).

fof(f67621,plain,
    ( spl0_761
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X3,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).

fof(f1189,plain,
    ( spl0_76
  <=> ! [X0] : true = less_equal(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2244,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X3,X2),true),true)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2151,f74]) ).

fof(f2151,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X1,X3),true,ifeq(true,true,less_equal(X3,X2),true),true),true)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(superposition,[],[f195,f1190]) ).

fof(f1190,plain,
    ( ! [X0] : true = less_equal(X0,X0)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f67619,plain,
    ( spl0_760
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2241,f1189,f190,f73,f67617]) ).

fof(f67617,plain,
    ( spl0_760
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).

fof(f2241,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2149,f74]) ).

fof(f2149,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X0,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(superposition,[],[f191,f1190]) ).

fof(f67615,plain,
    ( spl0_759
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2238,f1189,f186,f73,f67613]) ).

fof(f67613,plain,
    ( spl0_759
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,X0),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).

fof(f2238,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,X0),true,less_equal(X2,X3),true),true)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2147,f74]) ).

fof(f2147,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,X0),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(superposition,[],[f187,f1190]) ).

fof(f65754,plain,
    ( spl0_758
    | ~ spl0_13
    | ~ spl0_756 ),
    inference(avatar_split_clause,[],[f63374,f63009,f77,f65752]) ).

fof(f65752,plain,
    ( spl0_758
  <=> ! [X0] : true = quotient(divide(idQa_Q__idQ_idQa,X0),idQa,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).

fof(f63009,plain,
    ( spl0_756
  <=> ! [X0] : zero = divide(divide(idQa_Q__idQ_idQa,X0),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).

fof(f63374,plain,
    ( ! [X0] : true = quotient(divide(idQa_Q__idQ_idQa,X0),idQa,zero)
    | ~ spl0_13
    | ~ spl0_756 ),
    inference(superposition,[],[f78,f63010]) ).

fof(f63010,plain,
    ( ! [X0] : zero = divide(divide(idQa_Q__idQ_idQa,X0),idQa)
    | ~ spl0_756 ),
    inference(avatar_component_clause,[],[f63009]) ).

fof(f64107,plain,
    ( spl0_757
    | ~ spl0_93
    | ~ spl0_707
    | ~ spl0_756 ),
    inference(avatar_split_clause,[],[f63677,f63009,f57951,f1766,f64105]) ).

fof(f64105,plain,
    ( spl0_757
  <=> ! [X0] : true = less_equal(divide(idQa_Q__idQ_idQa,X0),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).

fof(f1766,plain,
    ( spl0_93
  <=> ! [X0] : divide(X0,zero) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f57951,plain,
    ( spl0_707
  <=> ! [X0,X1] : true = less_equal(divide(X0,divide(X0,X1)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f63677,plain,
    ( ! [X0] : true = less_equal(divide(idQa_Q__idQ_idQa,X0),idQa)
    | ~ spl0_93
    | ~ spl0_707
    | ~ spl0_756 ),
    inference(forward_demodulation,[],[f63513,f1767]) ).

fof(f1767,plain,
    ( ! [X0] : divide(X0,zero) = X0
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f1766]) ).

fof(f63513,plain,
    ( ! [X0] : true = less_equal(divide(divide(idQa_Q__idQ_idQa,X0),zero),idQa)
    | ~ spl0_707
    | ~ spl0_756 ),
    inference(superposition,[],[f57952,f63010]) ).

fof(f57952,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,divide(X0,X1)),X1)
    | ~ spl0_707 ),
    inference(avatar_component_clause,[],[f57951]) ).

fof(f63011,plain,
    ( spl0_756
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_755 ),
    inference(avatar_split_clause,[],[f62105,f61319,f444,f69,f63009]) ).

fof(f444,plain,
    ( spl0_26
  <=> ! [X0] : ifeq2(less_equal(X0,zero),true,zero,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f61319,plain,
    ( spl0_755
  <=> ! [X0] : true = less_equal(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).

fof(f62105,plain,
    ( ! [X0] : zero = divide(divide(idQa_Q__idQ_idQa,X0),idQa)
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_755 ),
    inference(forward_demodulation,[],[f61758,f70]) ).

fof(f61758,plain,
    ( ! [X0] : divide(divide(idQa_Q__idQ_idQa,X0),idQa) = ifeq2(true,true,zero,divide(divide(idQa_Q__idQ_idQa,X0),idQa))
    | ~ spl0_26
    | ~ spl0_755 ),
    inference(superposition,[],[f445,f61320]) ).

fof(f61320,plain,
    ( ! [X0] : true = less_equal(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero)
    | ~ spl0_755 ),
    inference(avatar_component_clause,[],[f61319]) ).

fof(f445,plain,
    ( ! [X0] : ifeq2(less_equal(X0,zero),true,zero,X0) = X0
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f61321,plain,
    ( spl0_755
    | ~ spl0_597
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f56282,f46801,f42057,f61319]) ).

fof(f42057,plain,
    ( spl0_597
  <=> ! [X0,X1] : zero = divide(divide(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f46801,plain,
    ( spl0_632
  <=> ! [X0] : true = less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f56282,plain,
    ( ! [X0] : true = less_equal(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero)
    | ~ spl0_597
    | ~ spl0_632 ),
    inference(superposition,[],[f46802,f42058]) ).

fof(f42058,plain,
    ( ! [X0,X1] : zero = divide(divide(X0,X1),X0)
    | ~ spl0_597 ),
    inference(avatar_component_clause,[],[f42057]) ).

fof(f46802,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa))
    | ~ spl0_632 ),
    inference(avatar_component_clause,[],[f46801]) ).

fof(f60946,plain,
    ( spl0_754
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f15112,f10921,f73,f65,f60944]) ).

fof(f60944,plain,
    ( spl0_754
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).

fof(f10921,plain,
    ( spl0_320
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f15112,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_320 ),
    inference(forward_demodulation,[],[f15088,f74]) ).

fof(f15088,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_320 ),
    inference(superposition,[],[f10922,f66]) ).

fof(f10922,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f10921]) ).

fof(f60942,plain,
    ( spl0_753
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f14972,f10909,f73,f65,f60940]) ).

fof(f60940,plain,
    ( spl0_753
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).

fof(f14972,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_317 ),
    inference(forward_demodulation,[],[f14944,f74]) ).

fof(f14944,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_317 ),
    inference(superposition,[],[f10910,f66]) ).

fof(f60938,plain,
    ( spl0_752
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f14969,f10909,f73,f65,f60936]) ).

fof(f60936,plain,
    ( spl0_752
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).

fof(f14969,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_317 ),
    inference(forward_demodulation,[],[f14942,f74]) ).

fof(f14942,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_317 ),
    inference(superposition,[],[f10910,f66]) ).

fof(f60934,plain,
    ( spl0_751
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f14757,f10889,f73,f65,f60932]) ).

fof(f60932,plain,
    ( spl0_751
  <=> ! [X0,X1] : true = ifeq(quotient(identity,idQa,X0),true,ifeq(quotient(idQ_idQa,zero,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).

fof(f10889,plain,
    ( spl0_312
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f14757,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,idQa,X0),true,ifeq(quotient(idQ_idQa,zero,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_312 ),
    inference(forward_demodulation,[],[f14728,f74]) ).

fof(f14728,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,idQa,X0),true,ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_312 ),
    inference(superposition,[],[f10890,f66]) ).

fof(f10890,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_312 ),
    inference(avatar_component_clause,[],[f10889]) ).

fof(f60930,plain,
    ( spl0_750
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f14602,f10877,f73,f65,f60928]) ).

fof(f60928,plain,
    ( spl0_750
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).

fof(f14602,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(forward_demodulation,[],[f14570,f74]) ).

fof(f14570,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_309 ),
    inference(superposition,[],[f10878,f66]) ).

fof(f60926,plain,
    ( spl0_749
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f14599,f10877,f73,f65,f60924]) ).

fof(f60924,plain,
    ( spl0_749
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).

fof(f14599,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(forward_demodulation,[],[f14568,f74]) ).

fof(f14568,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_309 ),
    inference(superposition,[],[f10878,f66]) ).

fof(f60170,plain,
    ( spl0_748
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f14372,f10861,f73,f65,f60168]) ).

fof(f60168,plain,
    ( spl0_748
  <=> ! [X0,X1] : true = ifeq(quotient(identity,a,X0),true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).

fof(f10861,plain,
    ( spl0_305
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f14372,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,a,X0),true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_305 ),
    inference(forward_demodulation,[],[f14343,f74]) ).

fof(f14343,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,a,X0),true,ifeq(quotient(idQa,zero,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_305 ),
    inference(superposition,[],[f10862,f66]) ).

fof(f10862,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_305 ),
    inference(avatar_component_clause,[],[f10861]) ).

fof(f60166,plain,
    ( spl0_747
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f14215,f10843,f73,f65,f60164]) ).

fof(f60164,plain,
    ( spl0_747
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(a,zero,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).

fof(f14215,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(a,zero,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_301 ),
    inference(forward_demodulation,[],[f14178,f74]) ).

fof(f14178,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(a,zero,X0),true,ifeq(true,true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_301 ),
    inference(superposition,[],[f10844,f66]) ).

fof(f60162,plain,
    ( spl0_746
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f14212,f10843,f73,f65,f60160]) ).

fof(f60160,plain,
    ( spl0_746
  <=> ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).

fof(f14212,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_301 ),
    inference(forward_demodulation,[],[f14176,f74]) ).

fof(f14176,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_301 ),
    inference(superposition,[],[f10844,f66]) ).

fof(f60158,plain,
    ( spl0_745
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f13880,f10819,f73,f65,f60156]) ).

fof(f60156,plain,
    ( spl0_745
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).

fof(f13880,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_295 ),
    inference(forward_demodulation,[],[f13860,f74]) ).

fof(f13860,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_295 ),
    inference(superposition,[],[f10820,f66]) ).

fof(f60154,plain,
    ( spl0_744
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f13833,f10815,f73,f48,f60152]) ).

fof(f60152,plain,
    ( spl0_744
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).

fof(f13833,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_294 ),
    inference(forward_demodulation,[],[f13815,f74]) ).

fof(f13815,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_294 ),
    inference(superposition,[],[f10816,f50]) ).

fof(f60150,plain,
    ( spl0_743
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f13800,f10811,f73,f61,f60148]) ).

fof(f60148,plain,
    ( spl0_743
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).

fof(f13800,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f13777,f74]) ).

fof(f13777,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_293 ),
    inference(superposition,[],[f10812,f62]) ).

fof(f60146,plain,
    ( spl0_742
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f13799,f10811,f73,f53,f60144]) ).

fof(f60144,plain,
    ( spl0_742
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).

fof(f13799,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f13776,f74]) ).

fof(f13776,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_293 ),
    inference(superposition,[],[f10812,f54]) ).

fof(f60142,plain,
    ( spl0_741
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f13758,f10733,f73,f57,f60140]) ).

fof(f60140,plain,
    ( spl0_741
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,idQ_idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).

fof(f13758,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,zero,idQ_idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_292 ),
    inference(forward_demodulation,[],[f13739,f74]) ).

fof(f13739,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(idQa,zero,idQ_idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_292 ),
    inference(superposition,[],[f10734,f58]) ).

fof(f60138,plain,
    ( spl0_740
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f13756,f10733,f73,f61,f60136]) ).

fof(f60136,plain,
    ( spl0_740
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,idQ_idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).

fof(f13756,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,idQ_idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_292 ),
    inference(forward_demodulation,[],[f13737,f74]) ).

fof(f13737,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQ_idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_292 ),
    inference(superposition,[],[f10734,f62]) ).

fof(f60134,plain,
    ( spl0_739
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f13486,f10713,f73,f65,f60132]) ).

fof(f60132,plain,
    ( spl0_739
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).

fof(f13486,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_287 ),
    inference(forward_demodulation,[],[f13462,f74]) ).

fof(f13462,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_287 ),
    inference(superposition,[],[f10714,f66]) ).

fof(f60130,plain,
    ( spl0_738
    | ~ spl0_47
    | ~ spl0_707 ),
    inference(avatar_split_clause,[],[f58844,f57951,f679,f60127]) ).

fof(f679,plain,
    ( spl0_47
  <=> idQ_idQa = divide(identity,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f58844,plain,
    ( true = less_equal(divide(identity,idQ_idQa),idQa)
    | ~ spl0_47
    | ~ spl0_707 ),
    inference(superposition,[],[f57952,f681]) ).

fof(f681,plain,
    ( idQ_idQa = divide(identity,idQa)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f60125,plain,
    ( spl0_737
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f13427,f10709,f73,f43,f60123]) ).

fof(f60123,plain,
    ( spl0_737
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).

fof(f13427,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_286 ),
    inference(forward_demodulation,[],[f13405,f74]) ).

fof(f13405,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(idQ_idQa,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_286 ),
    inference(superposition,[],[f10710,f45]) ).

fof(f60121,plain,
    ( spl0_736
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f13383,f10705,f73,f53,f60119]) ).

fof(f60119,plain,
    ( spl0_736
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).

fof(f13383,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_285 ),
    inference(forward_demodulation,[],[f13353,f74]) ).

fof(f13353,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_285 ),
    inference(superposition,[],[f10706,f54]) ).

fof(f60117,plain,
    ( spl0_735
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f13335,f10701,f73,f38,f60115]) ).

fof(f60115,plain,
    ( spl0_735
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(a,idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).

fof(f13335,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(a,idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(forward_demodulation,[],[f13314,f74]) ).

fof(f13314,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(a,idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_284 ),
    inference(superposition,[],[f10702,f40]) ).

fof(f60113,plain,
    ( spl0_734
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f13332,f10701,f73,f57,f60111]) ).

fof(f60111,plain,
    ( spl0_734
  <=> ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,zero,idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).

fof(f13332,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,zero,idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(forward_demodulation,[],[f13311,f74]) ).

fof(f13311,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,zero,idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_284 ),
    inference(superposition,[],[f10702,f58]) ).

fof(f60109,plain,
    ( spl0_733
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f13330,f10701,f73,f61,f60107]) ).

fof(f60107,plain,
    ( spl0_733
  <=> ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).

fof(f13330,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_284 ),
    inference(forward_demodulation,[],[f13309,f74]) ).

fof(f13309,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,idQa,idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_284 ),
    inference(superposition,[],[f10702,f62]) ).

fof(f60105,plain,
    ( spl0_732
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f13070,f10676,f73,f65,f60103]) ).

fof(f60103,plain,
    ( spl0_732
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f13070,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_278 ),
    inference(forward_demodulation,[],[f13046,f74]) ).

fof(f13046,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_278 ),
    inference(superposition,[],[f10677,f66]) ).

fof(f60101,plain,
    ( spl0_731
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f13015,f10672,f73,f38,f60099]) ).

fof(f60099,plain,
    ( spl0_731
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(idQa,a,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f13015,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(idQa,a,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_277 ),
    inference(forward_demodulation,[],[f12993,f74]) ).

fof(f12993,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(idQa,a,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_277 ),
    inference(superposition,[],[f10673,f40]) ).

fof(f60097,plain,
    ( spl0_730
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f12971,f10668,f73,f53,f60095]) ).

fof(f60095,plain,
    ( spl0_730
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f12971,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_276 ),
    inference(forward_demodulation,[],[f12944,f74]) ).

fof(f12944,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_276 ),
    inference(superposition,[],[f10669,f54]) ).

fof(f60093,plain,
    ( spl0_729
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12920,f10664,f73,f57,f60091]) ).

fof(f60091,plain,
    ( spl0_729
  <=> ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,zero,a),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f12920,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,zero,a),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_275 ),
    inference(forward_demodulation,[],[f12903,f74]) ).

fof(f12903,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,zero,a),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_275 ),
    inference(superposition,[],[f10665,f58]) ).

fof(f60089,plain,
    ( spl0_728
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12918,f10664,f73,f61,f60087]) ).

fof(f60087,plain,
    ( spl0_728
  <=> ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,a),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f12918,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,a),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_275 ),
    inference(forward_demodulation,[],[f12901,f74]) ).

fof(f12901,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,a,a),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_275 ),
    inference(superposition,[],[f10665,f62]) ).

fof(f58838,plain,
    ( spl0_727
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f12729,f10290,f73,f61,f58836]) ).

fof(f58836,plain,
    ( spl0_727
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f12729,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_271 ),
    inference(forward_demodulation,[],[f12702,f74]) ).

fof(f12702,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_9
    | ~ spl0_271 ),
    inference(superposition,[],[f10291,f62]) ).

fof(f58834,plain,
    ( spl0_726
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12673,f10286,f73,f57,f58832]) ).

fof(f58832,plain,
    ( spl0_726
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f12673,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12644,f74]) ).

fof(f12644,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_8
    | ~ spl0_270 ),
    inference(superposition,[],[f10287,f58]) ).

fof(f58830,plain,
    ( spl0_725
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f12576,f10278,f73,f57,f58828]) ).

fof(f58828,plain,
    ( spl0_725
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f12576,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(forward_demodulation,[],[f12551,f74]) ).

fof(f12551,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_268 ),
    inference(superposition,[],[f10279,f58]) ).

fof(f58826,plain,
    ( spl0_724
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f12575,f10278,f73,f61,f58824]) ).

fof(f58824,plain,
    ( spl0_724
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f12575,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(forward_demodulation,[],[f12550,f74]) ).

fof(f12550,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_268 ),
    inference(superposition,[],[f10279,f62]) ).

fof(f58822,plain,
    ( spl0_723
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f12567,f10278,f73,f61,f58820]) ).

fof(f58820,plain,
    ( spl0_723
  <=> ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,zero),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f12567,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,zero),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_268 ),
    inference(forward_demodulation,[],[f12546,f74]) ).

fof(f12546,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,zero),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_268 ),
    inference(superposition,[],[f10279,f62]) ).

fof(f58818,plain,
    ( spl0_722
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f12534,f10274,f73,f43,f58816]) ).

fof(f58816,plain,
    ( spl0_722
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f12534,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f12516,f74]) ).

fof(f12516,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_267 ),
    inference(superposition,[],[f10275,f45]) ).

fof(f58814,plain,
    ( spl0_721
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f12533,f10274,f73,f48,f58812]) ).

fof(f58812,plain,
    ( spl0_721
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f12533,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f12515,f74]) ).

fof(f12515,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_6
    | ~ spl0_267 ),
    inference(superposition,[],[f10275,f50]) ).

fof(f58810,plain,
    ( spl0_720
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f12532,f10274,f73,f57,f58808]) ).

fof(f58808,plain,
    ( spl0_720
  <=> ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQa,idQ_idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f12532,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQa,idQ_idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f12514,f74]) ).

fof(f12514,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,idQa,idQ_idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_267 ),
    inference(superposition,[],[f10275,f58]) ).

fof(f58806,plain,
    ( spl0_719
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f12530,f10274,f73,f61,f58804]) ).

fof(f58804,plain,
    ( spl0_719
  <=> ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f12530,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f12512,f74]) ).

fof(f12512,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,idQ_idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_267 ),
    inference(superposition,[],[f10275,f62]) ).

fof(f58802,plain,
    ( spl0_718
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f12418,f10266,f73,f53,f58800]) ).

fof(f58800,plain,
    ( spl0_718
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f12418,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_265 ),
    inference(forward_demodulation,[],[f12389,f74]) ).

fof(f12389,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_7
    | ~ spl0_265 ),
    inference(superposition,[],[f10267,f54]) ).

fof(f57993,plain,
    ( spl0_717
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f12299,f10258,f73,f53,f57991]) ).

fof(f57991,plain,
    ( spl0_717
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f12299,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_263 ),
    inference(forward_demodulation,[],[f12272,f74]) ).

fof(f12272,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,idQa,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_7
    | ~ spl0_263 ),
    inference(superposition,[],[f10259,f54]) ).

fof(f57989,plain,
    ( spl0_716
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f12254,f10254,f73,f43,f57987]) ).

fof(f57987,plain,
    ( spl0_716
  <=> ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(identity,identity,idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f12254,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(identity,identity,idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(forward_demodulation,[],[f12236,f74]) ).

fof(f12236,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,identity,idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_5
    | ~ spl0_262 ),
    inference(superposition,[],[f10255,f45]) ).

fof(f57985,plain,
    ( spl0_715
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f12253,f10254,f73,f57,f57983]) ).

fof(f57983,plain,
    ( spl0_715
  <=> ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,identity,idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f12253,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,identity,idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(forward_demodulation,[],[f12235,f74]) ).

fof(f12235,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,identity,idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_262 ),
    inference(superposition,[],[f10255,f58]) ).

fof(f57981,plain,
    ( spl0_714
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f12251,f10254,f73,f61,f57979]) ).

fof(f57979,plain,
    ( spl0_714
  <=> ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(idQa,identity,idQa),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f12251,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(idQa,identity,idQa),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_262 ),
    inference(forward_demodulation,[],[f12233,f74]) ).

fof(f12233,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,identity,idQa),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_262 ),
    inference(superposition,[],[f10255,f62]) ).

fof(f57977,plain,
    ( spl0_713
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f12138,f10241,f73,f53,f57975]) ).

fof(f57975,plain,
    ( spl0_713
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(zero,a,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f12138,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(zero,a,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f12109,f74]) ).

fof(f12109,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(zero,a,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_7
    | ~ spl0_259 ),
    inference(superposition,[],[f10242,f54]) ).

fof(f57973,plain,
    ( spl0_712
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f12019,f10233,f73,f53,f57971]) ).

fof(f57971,plain,
    ( spl0_712
  <=> ! [X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,a,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f12019,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,a,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_257 ),
    inference(forward_demodulation,[],[f11992,f74]) ).

fof(f11992,plain,
    ( ! [X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,a,X1),true,ifeq(true,true,less_equal(X0,X1),true),true),true)
    | ~ spl0_7
    | ~ spl0_257 ),
    inference(superposition,[],[f10234,f54]) ).

fof(f57969,plain,
    ( spl0_711
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f11974,f10229,f73,f38,f57967]) ).

fof(f57967,plain,
    ( spl0_711
  <=> ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(identity,identity,a),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f11974,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(identity,identity,a),true,less_equal(X0,zero),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(forward_demodulation,[],[f11953,f74]) ).

fof(f11953,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,identity,a),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_4
    | ~ spl0_256 ),
    inference(superposition,[],[f10230,f40]) ).

fof(f57965,plain,
    ( spl0_710
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f11973,f10229,f73,f57,f57963]) ).

fof(f57963,plain,
    ( spl0_710
  <=> ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,identity,a),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f11973,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,identity,a),true,less_equal(X0,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(forward_demodulation,[],[f11952,f74]) ).

fof(f11952,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,identity,a),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_256 ),
    inference(superposition,[],[f10230,f58]) ).

fof(f57961,plain,
    ( spl0_709
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f11971,f10229,f73,f61,f57959]) ).

fof(f57959,plain,
    ( spl0_709
  <=> ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(a,identity,a),true,less_equal(X0,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f11971,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(a,identity,a),true,less_equal(X0,zero),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_256 ),
    inference(forward_demodulation,[],[f11950,f74]) ).

fof(f11950,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,ifeq(quotient(a,identity,a),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_256 ),
    inference(superposition,[],[f10230,f62]) ).

fof(f57957,plain,
    ( spl0_708
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f11836,f10217,f73,f65,f57955]) ).

fof(f57955,plain,
    ( spl0_708
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f11836,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_253 ),
    inference(forward_demodulation,[],[f11809,f74]) ).

fof(f11809,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_253 ),
    inference(superposition,[],[f10218,f66]) ).

fof(f57953,plain,
    ( spl0_707
    | ~ spl0_12
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f43365,f42992,f73,f57951]) ).

fof(f42992,plain,
    ( spl0_607
  <=> ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,divide(X0,X1)),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f43365,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,divide(X0,X1)),X1)
    | ~ spl0_12
    | ~ spl0_607 ),
    inference(superposition,[],[f42993,f74]) ).

fof(f42993,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,divide(X0,X1)),X1),true)
    | ~ spl0_607 ),
    inference(avatar_component_clause,[],[f42992]) ).

fof(f57949,plain,
    ( spl0_706
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f11704,f10203,f73,f48,f57947]) ).

fof(f57947,plain,
    ( spl0_706
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f11704,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(forward_demodulation,[],[f11689,f74]) ).

fof(f11689,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_250 ),
    inference(superposition,[],[f10204,f50]) ).

fof(f57945,plain,
    ( spl0_705
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f11703,f10203,f73,f57,f57943]) ).

fof(f57943,plain,
    ( spl0_705
  <=> ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f11703,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(zero,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(forward_demodulation,[],[f11688,f74]) ).

fof(f11688,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_250 ),
    inference(superposition,[],[f10204,f58]) ).

fof(f57941,plain,
    ( spl0_704
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f11701,f10203,f73,f61,f57939]) ).

fof(f57939,plain,
    ( spl0_704
  <=> ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f11701,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_250 ),
    inference(forward_demodulation,[],[f11686,f74]) ).

fof(f11686,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_250 ),
    inference(superposition,[],[f10204,f62]) ).

fof(f57937,plain,
    ( spl0_703
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11674,f10199,f73,f65,f57935]) ).

fof(f57935,plain,
    ( spl0_703
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f11674,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(forward_demodulation,[],[f11658,f74]) ).

fof(f11658,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_249 ),
    inference(superposition,[],[f10200,f66]) ).

fof(f57933,plain,
    ( spl0_702
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11670,f10199,f73,f57,f57931]) ).

fof(f57931,plain,
    ( spl0_702
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f11670,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(forward_demodulation,[],[f11656,f74]) ).

fof(f11656,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_249 ),
    inference(superposition,[],[f10200,f58]) ).

fof(f57929,plain,
    ( spl0_701
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11668,f10199,f73,f61,f57927]) ).

fof(f57927,plain,
    ( spl0_701
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f11668,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_249 ),
    inference(forward_demodulation,[],[f11654,f74]) ).

fof(f11654,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,zero,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_249 ),
    inference(superposition,[],[f10200,f62]) ).

fof(f57925,plain,
    ( spl0_700
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f11641,f10195,f73,f48,f57923]) ).

fof(f57923,plain,
    ( spl0_700
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f11641,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(forward_demodulation,[],[f11627,f74]) ).

fof(f11627,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_248 ),
    inference(superposition,[],[f10196,f50]) ).

fof(f57921,plain,
    ( spl0_699
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f11640,f10195,f73,f57,f57919]) ).

fof(f57919,plain,
    ( spl0_699
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f11640,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(forward_demodulation,[],[f11626,f74]) ).

fof(f11626,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_248 ),
    inference(superposition,[],[f10196,f58]) ).

fof(f57917,plain,
    ( spl0_698
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f11638,f10195,f73,f61,f57915]) ).

fof(f57915,plain,
    ( spl0_698
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f11638,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_248 ),
    inference(forward_demodulation,[],[f11624,f74]) ).

fof(f11624,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQ_idQa,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_248 ),
    inference(superposition,[],[f10196,f62]) ).

fof(f57913,plain,
    ( spl0_697
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f11550,f10187,f73,f65,f57911]) ).

fof(f57911,plain,
    ( spl0_697
  <=> ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f11550,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_246 ),
    inference(forward_demodulation,[],[f11520,f74]) ).

fof(f11520,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(superposition,[],[f10188,f66]) ).

fof(f57909,plain,
    ( spl0_696
    | ~ spl0_12
    | ~ spl0_601 ),
    inference(avatar_split_clause,[],[f43106,f42967,f73,f57907]) ).

fof(f42967,plain,
    ( spl0_601
  <=> ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X1,X0),divide(identity,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f43106,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,X1),divide(identity,X1))
    | ~ spl0_12
    | ~ spl0_601 ),
    inference(superposition,[],[f42968,f74]) ).

fof(f42968,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X1,X0),divide(identity,X0)),true)
    | ~ spl0_601 ),
    inference(avatar_component_clause,[],[f42967]) ).

fof(f57905,plain,
    ( spl0_695
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f11392,f10175,f73,f43,f57903]) ).

fof(f57903,plain,
    ( spl0_695
  <=> ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f11392,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(forward_demodulation,[],[f11374,f74]) ).

fof(f11374,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_243 ),
    inference(superposition,[],[f10176,f45]) ).

fof(f57901,plain,
    ( spl0_694
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f11391,f10175,f73,f57,f57899]) ).

fof(f57899,plain,
    ( spl0_694
  <=> ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f11391,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(forward_demodulation,[],[f11373,f74]) ).

fof(f11373,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_243 ),
    inference(superposition,[],[f10176,f58]) ).

fof(f57897,plain,
    ( spl0_693
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f11389,f10175,f73,f61,f57895]) ).

fof(f57895,plain,
    ( spl0_693
  <=> ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(idQa,identity,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f11389,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(idQa,identity,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_243 ),
    inference(forward_demodulation,[],[f11371,f74]) ).

fof(f11371,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,identity,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_243 ),
    inference(superposition,[],[f10176,f62]) ).

fof(f57893,plain,
    ( spl0_692
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f11356,f10171,f73,f65,f57891]) ).

fof(f57891,plain,
    ( spl0_692
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f11356,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f11338,f74]) ).

fof(f11338,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,idQa,X0),true,ifeq(true,true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_242 ),
    inference(superposition,[],[f10172,f66]) ).

fof(f57889,plain,
    ( spl0_691
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f11351,f10171,f73,f57,f57887]) ).

fof(f57887,plain,
    ( spl0_691
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f11351,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f11335,f74]) ).

fof(f11335,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_242 ),
    inference(superposition,[],[f10172,f58]) ).

fof(f57885,plain,
    ( spl0_690
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f11349,f10171,f73,f61,f57883]) ).

fof(f57883,plain,
    ( spl0_690
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f11349,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,zero,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_242 ),
    inference(forward_demodulation,[],[f11333,f74]) ).

fof(f11333,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(idQa,zero,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_242 ),
    inference(superposition,[],[f10172,f62]) ).

fof(f57881,plain,
    ( spl0_689
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f11316,f10167,f73,f43,f57879]) ).

fof(f57879,plain,
    ( spl0_689
  <=> ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f11316,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(identity,idQa,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(forward_demodulation,[],[f11299,f74]) ).

fof(f11299,plain,
    ( ! [X0] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,idQa,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_241 ),
    inference(superposition,[],[f10168,f45]) ).

fof(f57877,plain,
    ( spl0_688
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f11315,f10167,f73,f57,f57875]) ).

fof(f57875,plain,
    ( spl0_688
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,idQa,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f11315,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,idQa,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(forward_demodulation,[],[f11298,f74]) ).

fof(f11298,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,idQa,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_241 ),
    inference(superposition,[],[f10168,f58]) ).

fof(f57873,plain,
    ( spl0_687
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f11313,f10167,f73,f61,f57871]) ).

fof(f57871,plain,
    ( spl0_687
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,idQa,identity),true,less_equal(X0,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f11313,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(idQa,idQa,identity),true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_241 ),
    inference(forward_demodulation,[],[f11296,f74]) ).

fof(f11296,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(idQa,idQa,identity),true,less_equal(X0,idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_241 ),
    inference(superposition,[],[f10168,f62]) ).

fof(f57869,plain,
    ( spl0_686
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f11214,f10154,f73,f65,f57867]) ).

fof(f57867,plain,
    ( spl0_686
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f11214,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_238 ),
    inference(forward_demodulation,[],[f11183,f74]) ).

fof(f11183,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X0),true,ifeq(true,true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_238 ),
    inference(superposition,[],[f10155,f66]) ).

fof(f57085,plain,
    ( spl0_685
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f11051,f10142,f73,f38,f57083]) ).

fof(f57083,plain,
    ( spl0_685
  <=> ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f11051,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f11029,f74]) ).

fof(f11029,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,identity,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(superposition,[],[f10143,f40]) ).

fof(f57081,plain,
    ( spl0_684
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f11050,f10142,f73,f57,f57079]) ).

fof(f57079,plain,
    ( spl0_684
  <=> ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f11050,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f11028,f74]) ).

fof(f11028,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,identity,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_235 ),
    inference(superposition,[],[f10143,f58]) ).

fof(f57077,plain,
    ( spl0_683
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f11048,f10142,f73,f61,f57075]) ).

fof(f57075,plain,
    ( spl0_683
  <=> ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(a,identity,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f11048,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(a,identity,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f11026,f74]) ).

fof(f11026,plain,
    ( ! [X0] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,ifeq(quotient(a,identity,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_235 ),
    inference(superposition,[],[f10143,f62]) ).

fof(f57073,plain,
    ( spl0_682
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f11008,f10138,f73,f65,f57071]) ).

fof(f57071,plain,
    ( spl0_682
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f11008,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(forward_demodulation,[],[f10989,f74]) ).

fof(f10989,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(identity,a,X0),true,ifeq(true,true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_234 ),
    inference(superposition,[],[f10139,f66]) ).

fof(f57069,plain,
    ( spl0_681
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f11003,f10138,f73,f57,f57067]) ).

fof(f57067,plain,
    ( spl0_681
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f11003,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(forward_demodulation,[],[f10986,f74]) ).

fof(f10986,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,zero,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_234 ),
    inference(superposition,[],[f10139,f58]) ).

fof(f57065,plain,
    ( spl0_680
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f11001,f10138,f73,f61,f57063]) ).

fof(f57063,plain,
    ( spl0_680
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,zero,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f11001,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,zero,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_234 ),
    inference(forward_demodulation,[],[f10984,f74]) ).

fof(f10984,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(a,zero,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_234 ),
    inference(superposition,[],[f10139,f62]) ).

fof(f57061,plain,
    ( spl0_679
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f10961,f10134,f73,f38,f57059]) ).

fof(f57059,plain,
    ( spl0_679
  <=> ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f10961,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(identity,a,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(forward_demodulation,[],[f10943,f74]) ).

fof(f10943,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,ifeq(quotient(identity,a,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_233 ),
    inference(superposition,[],[f10135,f40]) ).

fof(f57057,plain,
    ( spl0_678
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f10960,f10134,f73,f57,f57055]) ).

fof(f57055,plain,
    ( spl0_678
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,a,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f10960,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(zero,a,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(forward_demodulation,[],[f10942,f74]) ).

fof(f10942,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(zero,a,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_233 ),
    inference(superposition,[],[f10135,f58]) ).

fof(f57053,plain,
    ( spl0_677
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f10958,f10134,f73,f61,f57051]) ).

fof(f57051,plain,
    ( spl0_677
  <=> ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,a,identity),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f10958,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(quotient(a,a,identity),true,less_equal(X0,idQa),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_233 ),
    inference(forward_demodulation,[],[f10940,f74]) ).

fof(f10940,plain,
    ( ! [X0] : true = ifeq(quotient(zero,zero,X0),true,ifeq(true,true,ifeq(quotient(a,a,identity),true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_233 ),
    inference(superposition,[],[f10135,f62]) ).

fof(f57049,plain,
    ( spl0_676
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f536,f466,f194,f73,f57047]) ).

fof(f57047,plain,
    ( spl0_676
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X2),true,less_equal(X2,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f466,plain,
    ( spl0_29
  <=> true = less_equal(idQa_Q__idQ_idQa,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f536,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X2),true,less_equal(X2,X1),true),true)
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f523,f74]) ).

fof(f523,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X2),true,ifeq(true,true,less_equal(X2,X1),true),true),true)
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(superposition,[],[f195,f468]) ).

fof(f468,plain,
    ( true = less_equal(idQa_Q__idQ_idQa,idQa)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f56274,plain,
    ( spl0_675
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f533,f466,f190,f73,f56272]) ).

fof(f56272,plain,
    ( spl0_675
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f533,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f521,f74]) ).

fof(f521,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X2),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_22
    | ~ spl0_29 ),
    inference(superposition,[],[f191,f468]) ).

fof(f56270,plain,
    ( spl0_674
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f530,f466,f186,f73,f56268]) ).

fof(f56268,plain,
    ( spl0_674
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,X2,idQa_Q__idQ_idQa),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f530,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,X2,idQa_Q__idQ_idQa),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f519,f74]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X0,X2,idQa_Q__idQ_idQa),true,ifeq(true,true,less_equal(X1,X2),true),true),true)
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(superposition,[],[f187,f468]) ).

fof(f56265,plain,
    ( spl0_673
    | ~ spl0_12
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5393,f4785,f1774,f73,f56263]) ).

fof(f56263,plain,
    ( spl0_673
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),zero,X2),true,less_equal(X2,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f1774,plain,
    ( spl0_95
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f5393,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),zero,X2),true,less_equal(X2,X0),true),true)
    | ~ spl0_12
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5285,f74]) ).

fof(f5285,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(true,true,less_equal(X2,X0),true),true),true)
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(superposition,[],[f1775,f4786]) ).

fof(f1775,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,X0),true),true),true)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f1774]) ).

fof(f56260,plain,
    ( spl0_672
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2274,f1969,f1189,f73,f56258]) ).

fof(f56258,plain,
    ( spl0_672
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X0),true,less_equal(divide(X1,X0),X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f2274,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X0),true,less_equal(divide(X1,X0),X2),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(forward_demodulation,[],[f2175,f74]) ).

fof(f2175,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X0),true,ifeq(true,true,less_equal(divide(X1,X0),X2),true),true),true)
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(superposition,[],[f1970,f1190]) ).

fof(f56199,plain,
    ( spl0_671
    | ~ spl0_13
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f9449,f9396,f77,f56197]) ).

fof(f56197,plain,
    ( spl0_671
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,less_equal(divide(X0,idQ_idQa),zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f9396,plain,
    ( spl0_223
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f9449,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X0),true,less_equal(divide(X0,idQ_idQa),zero),true),true)
    | ~ spl0_13
    | ~ spl0_223 ),
    inference(superposition,[],[f9397,f78]) ).

fof(f9397,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f9396]) ).

fof(f56195,plain,
    ( spl0_670
    | ~ spl0_13
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f9400,f9392,f77,f56193]) ).

fof(f56193,plain,
    ( spl0_670
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,less_equal(divide(X0,idQa),zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f9392,plain,
    ( spl0_222
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f9400,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X0),true,less_equal(divide(X0,idQa),zero),true),true)
    | ~ spl0_13
    | ~ spl0_222 ),
    inference(superposition,[],[f9393,f78]) ).

fof(f9393,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f9392]) ).

fof(f56190,plain,
    ( spl0_669
    | ~ spl0_12
    | ~ spl0_85
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5524,f4785,f1539,f73,f56188]) ).

fof(f56188,plain,
    ( spl0_669
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,less_equal(idQa_Q__idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f1539,plain,
    ( spl0_85
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f5524,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_85
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5343,f74]) ).

fof(f5343,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_85
    | ~ spl0_129 ),
    inference(superposition,[],[f1540,f4786]) ).

fof(f1540,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f56185,plain,
    ( spl0_668
    | ~ spl0_12
    | ~ spl0_88
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5523,f4785,f1551,f73,f56183]) ).

fof(f56183,plain,
    ( spl0_668
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f1551,plain,
    ( spl0_88
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f5523,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_88
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5342,f74]) ).

fof(f5342,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_88
    | ~ spl0_129 ),
    inference(superposition,[],[f1552,f4786]) ).

fof(f1552,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f1551]) ).

fof(f55434,plain,
    ( spl0_667
    | ~ spl0_12
    | ~ spl0_90
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5516,f4785,f1559,f73,f55432]) ).

fof(f55432,plain,
    ( spl0_667
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f1559,plain,
    ( spl0_90
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f5516,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_90
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5339,f74]) ).

fof(f5339,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_90
    | ~ spl0_129 ),
    inference(superposition,[],[f1560,f4786]) ).

fof(f1560,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f1559]) ).

fof(f55429,plain,
    ( spl0_666
    | ~ spl0_12
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5515,f4785,f1547,f73,f55427]) ).

fof(f55427,plain,
    ( spl0_666
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(idQa,X0),X1),true,less_equal(idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f1547,plain,
    ( spl0_87
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f5515,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(idQa,X0),X1),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5338,f74]) ).

fof(f5338,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(idQa,X0),X1),true,ifeq(true,true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(superposition,[],[f1548,f4786]) ).

fof(f1548,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f1547]) ).

fof(f55424,plain,
    ( spl0_665
    | ~ spl0_12
    | ~ spl0_84
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5514,f4785,f1535,f73,f55422]) ).

fof(f55422,plain,
    ( spl0_665
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(idQa,X0)),true,less_equal(idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f1535,plain,
    ( spl0_84
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f5514,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(idQa,X0)),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_84
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5337,f74]) ).

fof(f5337,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(idQa,X0)),true,ifeq(true,true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_84
    | ~ spl0_129 ),
    inference(superposition,[],[f1536,f4786]) ).

fof(f1536,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f1535]) ).

fof(f55419,plain,
    ( spl0_664
    | ~ spl0_12
    | ~ spl0_83
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5509,f4785,f1531,f73,f55417]) ).

fof(f55417,plain,
    ( spl0_664
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(a,X0)),true,less_equal(idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f1531,plain,
    ( spl0_83
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f5509,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(a,X0)),true,less_equal(idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_83
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5332,f74]) ).

fof(f5332,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X1,divide(a,X0)),true,ifeq(true,true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_83
    | ~ spl0_129 ),
    inference(superposition,[],[f1532,f4786]) ).

fof(f1532,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f1531]) ).

fof(f55414,plain,
    ( spl0_663
    | ~ spl0_12
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5508,f4785,f1543,f73,f55412]) ).

fof(f55412,plain,
    ( spl0_663
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(a,X0),X1),true,less_equal(idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f1543,plain,
    ( spl0_86
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f5508,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(a,X0),X1),true,less_equal(idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5331,f74]) ).

fof(f5331,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,divide(a,X0),X1),true,ifeq(true,true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(superposition,[],[f1544,f4786]) ).

fof(f1544,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f55409,plain,
    ( spl0_662
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2107,f1981,f466,f73,f55407]) ).

fof(f55407,plain,
    ( spl0_662
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,less_equal(X1,divide(idQa,X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f2107,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,less_equal(X1,divide(idQa,X0)),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(forward_demodulation,[],[f2080,f74]) ).

fof(f2080,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(true,true,less_equal(X1,divide(idQa,X0)),true),true),true)
    | ~ spl0_29
    | ~ spl0_100 ),
    inference(superposition,[],[f1982,f468]) ).

fof(f55404,plain,
    ( spl0_661
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2066,f1973,f466,f73,f55402]) ).

fof(f55402,plain,
    ( spl0_661
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,less_equal(divide(X0,idQa),X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f2066,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,less_equal(divide(X0,idQa),X1),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(forward_demodulation,[],[f2039,f74]) ).

fof(f2039,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,less_equal(divide(X0,idQa),X1),true),true),true)
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(superposition,[],[f1974,f468]) ).

fof(f55399,plain,
    ( spl0_660
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2025,f1969,f466,f73,f55397]) ).

fof(f55397,plain,
    ( spl0_660
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,less_equal(divide(X0,idQa),X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f2025,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,less_equal(divide(X0,idQa),X1),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(forward_demodulation,[],[f1994,f74]) ).

fof(f1994,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,ifeq(true,true,less_equal(divide(X0,idQa),X1),true),true),true)
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(superposition,[],[f1970,f468]) ).

fof(f55329,plain,
    ( spl0_659
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5256,f4785,f146,f55327]) ).

fof(f55327,plain,
    ( spl0_659
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,divide(X0,X1)),true,less_equal(X2,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f146,plain,
    ( spl0_20
  <=> ! [X4,X5,X3] : true = ifeq(less_equal(X4,X5),true,ifeq(less_equal(X3,X4),true,less_equal(X3,X5),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f5256,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,divide(X0,X1)),true,less_equal(X2,X0),true),true)
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(superposition,[],[f147,f4786]) ).

fof(f147,plain,
    ( ! [X3,X4,X5] : true = ifeq(less_equal(X4,X5),true,ifeq(less_equal(X3,X4),true,less_equal(X3,X5),true),true)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f52470,plain,
    ( spl0_658
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f10038,f9850,f4785,f73,f52468]) ).

fof(f52468,plain,
    ( spl0_658
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,less_equal(X3,divide(X0,X2)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f9850,plain,
    ( spl0_230
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X3),true,less_equal(X2,divide(X3,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f10038,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,less_equal(X3,divide(X0,X2)),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_230 ),
    inference(forward_demodulation,[],[f10004,f74]) ).

fof(f10004,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(true,true,less_equal(X3,divide(X0,X2)),true),true)
    | ~ spl0_129
    | ~ spl0_230 ),
    inference(superposition,[],[f9851,f4786]) ).

fof(f9851,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X3),true,less_equal(X2,divide(X3,X1)),true),true)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f9850]) ).

fof(f52466,plain,
    ( spl0_657
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_229 ),
    inference(avatar_split_clause,[],[f9968,f9846,f4785,f73,f52464]) ).

fof(f52464,plain,
    ( spl0_657
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,less_equal(divide(X2,X0),X3),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f9846,plain,
    ( spl0_229
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,X3),true,less_equal(divide(X0,X3),X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f9968,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,less_equal(divide(X2,X0),X3),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_229 ),
    inference(forward_demodulation,[],[f9933,f74]) ).

fof(f9933,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,less_equal(divide(X2,X0),X3),true),true)
    | ~ spl0_129
    | ~ spl0_229 ),
    inference(superposition,[],[f9847,f4786]) ).

fof(f9847,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,X3),true,less_equal(divide(X0,X3),X2),true),true)
    | ~ spl0_229 ),
    inference(avatar_component_clause,[],[f9846]) ).

fof(f52462,plain,
    ( spl0_656
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f9903,f9842,f4785,f73,f52460]) ).

fof(f52460,plain,
    ( spl0_656
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,X3,divide(X0,X1)),true,less_equal(divide(X2,X0),X3),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f9842,plain,
    ( spl0_228
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,X3),true,less_equal(divide(X0,X3),X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f9903,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X3,divide(X0,X1)),true,less_equal(divide(X2,X0),X3),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_228 ),
    inference(forward_demodulation,[],[f9865,f74]) ).

fof(f9865,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X3,divide(X0,X1)),true,ifeq(true,true,less_equal(divide(X2,X0),X3),true),true)
    | ~ spl0_129
    | ~ spl0_228 ),
    inference(superposition,[],[f9843,f4786]) ).

fof(f9843,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,X3),true,less_equal(divide(X0,X3),X1),true),true)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f9842]) ).

fof(f52458,plain,
    ( spl0_655
    | ~ spl0_12
    | ~ spl0_81
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5384,f4785,f1404,f73,f52456]) ).

fof(f52456,plain,
    ( spl0_655
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,less_equal(divide(divide(X0,X1),X2),X3),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f1404,plain,
    ( spl0_81
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f5384,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,less_equal(divide(divide(X0,X1),X2),X3),true)
    | ~ spl0_12
    | ~ spl0_81
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5280,f74]) ).

fof(f5280,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(true,true,less_equal(divide(divide(X0,X1),X2),X3),true),true)
    | ~ spl0_81
    | ~ spl0_129 ),
    inference(superposition,[],[f1405,f4786]) ).

fof(f1405,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X3),true),true)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f52454,plain,
    ( spl0_654
    | ~ spl0_12
    | ~ spl0_80
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5383,f4785,f1400,f73,f52452]) ).

fof(f52452,plain,
    ( spl0_654
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X2,X0,X3),true,less_equal(X3,divide(X2,divide(X0,X1))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f1400,plain,
    ( spl0_80
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X1,X2),true,less_equal(X3,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f5383,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X0,X3),true,less_equal(X3,divide(X2,divide(X0,X1))),true)
    | ~ spl0_12
    | ~ spl0_80
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5279,f74]) ).

fof(f5279,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X0,X3),true,ifeq(true,true,less_equal(X3,divide(X2,divide(X0,X1))),true),true)
    | ~ spl0_80
    | ~ spl0_129 ),
    inference(superposition,[],[f1401,f4786]) ).

fof(f1401,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X1,X2),true,less_equal(X3,divide(X0,X1)),true),true)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f51668,plain,
    ( spl0_653
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f14590,f10877,f73,f65,f38,f51665]) ).

fof(f51665,plain,
    ( spl0_653
  <=> true = ifeq(true,true,ifeq(quotient(idQa,zero,a),true,less_equal(idQa,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f14590,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,zero,a),true,less_equal(idQa,idQ_idQa),true),true)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_309 ),
    inference(forward_demodulation,[],[f14589,f74]) ).

fof(f14589,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,zero,a),true,ifeq(true,true,less_equal(idQa,idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_309 ),
    inference(forward_demodulation,[],[f14563,f66]) ).

fof(f14563,plain,
    ( true = ifeq(true,true,ifeq(quotient(idQa,zero,a),true,ifeq(quotient(identity,zero,identity),true,less_equal(idQa,idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_309 ),
    inference(superposition,[],[f10878,f40]) ).

fof(f51663,plain,
    ( spl0_652
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f13929,f10823,f73,f65,f61,f51661]) ).

fof(f13929,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_296 ),
    inference(forward_demodulation,[],[f13928,f74]) ).

fof(f13928,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_296 ),
    inference(forward_demodulation,[],[f13904,f62]) ).

fof(f13904,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,idQ_idQa,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_296 ),
    inference(superposition,[],[f10824,f66]) ).

fof(f51659,plain,
    ( spl0_651
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f13589,f10721,f73,f65,f61,f51657]) ).

fof(f13589,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_289 ),
    inference(forward_demodulation,[],[f13588,f74]) ).

fof(f13588,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_289 ),
    inference(forward_demodulation,[],[f13563,f62]) ).

fof(f13563,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X0),true,ifeq(quotient(idQa,idQa,zero),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_289 ),
    inference(superposition,[],[f10722,f66]) ).

fof(f51655,plain,
    ( spl0_650
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f13119,f10680,f73,f65,f61,f51653]) ).

fof(f13119,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,less_equal(idQa,X0),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_279 ),
    inference(forward_demodulation,[],[f13118,f74]) ).

fof(f13118,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,ifeq(true,true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_279 ),
    inference(forward_demodulation,[],[f13096,f62]) ).

fof(f13096,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,ifeq(quotient(a,a,zero),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_279 ),
    inference(superposition,[],[f10681,f66]) ).

fof(f50918,plain,
    ( spl0_649
    | ~ spl0_6
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f9451,f9396,f48,f50916]) ).

fof(f50916,plain,
    ( spl0_649
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f9451,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true)
    | ~ spl0_6
    | ~ spl0_223 ),
    inference(superposition,[],[f9397,f50]) ).

fof(f50914,plain,
    ( spl0_648
    | ~ spl0_5
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f9402,f9392,f43,f50912]) ).

fof(f50912,plain,
    ( spl0_648
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,less_equal(idQ_idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f9402,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(X0,a,identity),true,less_equal(idQ_idQa,zero),true),true)
    | ~ spl0_5
    | ~ spl0_222 ),
    inference(superposition,[],[f9393,f45]) ).

fof(f50909,plain,
    ( spl0_647
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2309,f1539,f1189,f73,f50907]) ).

fof(f50907,plain,
    ( spl0_647
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f2309,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f2201,f74]) ).

fof(f2201,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,idQ_idQa),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_76
    | ~ spl0_85 ),
    inference(superposition,[],[f1540,f1190]) ).

fof(f50904,plain,
    ( spl0_646
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2308,f1551,f1189,f73,f50902]) ).

fof(f50902,plain,
    ( spl0_646
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f2308,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_88 ),
    inference(forward_demodulation,[],[f2200,f74]) ).

fof(f2200,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_76
    | ~ spl0_88 ),
    inference(superposition,[],[f1552,f1190]) ).

fof(f50899,plain,
    ( spl0_645
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2304,f1535,f1189,f73,f50897]) ).

fof(f50897,plain,
    ( spl0_645
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f2304,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_84 ),
    inference(forward_demodulation,[],[f2196,f74]) ).

fof(f2196,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_76
    | ~ spl0_84 ),
    inference(superposition,[],[f1536,f1190]) ).

fof(f50894,plain,
    ( spl0_644
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2301,f1559,f1189,f73,f50892]) ).

fof(f50892,plain,
    ( spl0_644
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f2301,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_90 ),
    inference(forward_demodulation,[],[f2194,f74]) ).

fof(f2194,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_76
    | ~ spl0_90 ),
    inference(superposition,[],[f1560,f1190]) ).

fof(f50889,plain,
    ( spl0_643
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2299,f1531,f1189,f73,f50887]) ).

fof(f50887,plain,
    ( spl0_643
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,a),true,less_equal(idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f2299,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,a),true,less_equal(idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2192,f74]) ).

fof(f2192,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,a),true,ifeq(true,true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_76
    | ~ spl0_83 ),
    inference(superposition,[],[f1532,f1190]) ).

fof(f50884,plain,
    ( spl0_642
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1923,f1774,f466,f73,f50882]) ).

fof(f50882,plain,
    ( spl0_642
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,less_equal(X0,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f1923,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,less_equal(X0,idQa),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f1902,f74]) ).

fof(f1902,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(true,true,less_equal(X0,idQa),true),true),true)
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(superposition,[],[f1775,f468]) ).

fof(f50879,plain,
    ( spl0_641
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1699,f1547,f466,f73,f50877]) ).

fof(f50877,plain,
    ( spl0_641
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f1699,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_87 ),
    inference(forward_demodulation,[],[f1681,f74]) ).

fof(f1681,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_29
    | ~ spl0_87 ),
    inference(superposition,[],[f1548,f468]) ).

fof(f50874,plain,
    ( spl0_640
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1616,f1535,f466,f73,f50872]) ).

fof(f50872,plain,
    ( spl0_640
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f1616,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_84 ),
    inference(forward_demodulation,[],[f1597,f74]) ).

fof(f1597,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_29
    | ~ spl0_84 ),
    inference(superposition,[],[f1536,f468]) ).

fof(f50870,plain,
    ( spl0_639
    | ~ spl0_12
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f42950,f42016,f73,f50868]) ).

fof(f50868,plain,
    ( spl0_639
  <=> ! [X0] : true = less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f42016,plain,
    ( spl0_596
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f42950,plain,
    ( ! [X0] : true = less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0))
    | ~ spl0_12
    | ~ spl0_596 ),
    inference(superposition,[],[f42017,f74]) ).

fof(f42017,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0)),true)
    | ~ spl0_596 ),
    inference(avatar_component_clause,[],[f42016]) ).

fof(f50544,plain,
    ( spl0_638
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f9713,f9507,f4785,f73,f50542]) ).

fof(f50542,plain,
    ( spl0_638
  <=> ! [X2,X0,X1] : true = ifeq(true,true,less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f9507,plain,
    ( spl0_226
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X0),true,less_equal(divide(X2,X1),divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f9713,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_226 ),
    inference(forward_demodulation,[],[f9683,f74]) ).

fof(f9683,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),true),true)
    | ~ spl0_129
    | ~ spl0_226 ),
    inference(superposition,[],[f9508,f4786]) ).

fof(f9508,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X0),true,less_equal(divide(X2,X1),divide(X0,X1)),true),true)
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f9507]) ).

fof(f50540,plain,
    ( spl0_637
    | ~ spl0_12
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f9706,f9507,f73,f50538]) ).

fof(f50538,plain,
    ( spl0_637
  <=> ! [X2,X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X2),divide(X1,X2)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f9706,plain,
    ( ! [X2,X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X2),divide(X1,X2)),true)
    | ~ spl0_12
    | ~ spl0_226 ),
    inference(superposition,[],[f9508,f74]) ).

fof(f50536,plain,
    ( spl0_636
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f9662,f9503,f4785,f73,f50534]) ).

fof(f50534,plain,
    ( spl0_636
  <=> ! [X2,X0,X1] : true = ifeq(true,true,less_equal(divide(X2,X0),divide(X2,divide(X0,X1))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f9503,plain,
    ( spl0_225
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),divide(X0,X2)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f9662,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,less_equal(divide(X2,X0),divide(X2,divide(X0,X1))),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_225 ),
    inference(forward_demodulation,[],[f9630,f74]) ).

fof(f9630,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X2,X0),divide(X2,divide(X0,X1))),true),true)
    | ~ spl0_129
    | ~ spl0_225 ),
    inference(superposition,[],[f9504,f4786]) ).

fof(f9504,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),divide(X0,X2)),true),true)
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f9503]) ).

fof(f50532,plain,
    ( spl0_635
    | ~ spl0_12
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f9654,f9503,f73,f50530]) ).

fof(f50530,plain,
    ( spl0_635
  <=> ! [X2,X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X2,X1),divide(X2,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f9654,plain,
    ( ! [X2,X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X2,X1),divide(X2,X0)),true)
    | ~ spl0_12
    | ~ spl0_225 ),
    inference(superposition,[],[f9504,f74]) ).

fof(f50528,plain,
    ( spl0_634
    | ~ spl0_12
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f9594,f9499,f73,f50526]) ).

fof(f50526,plain,
    ( spl0_634
  <=> ! [X2,X0,X1] : true = ifeq(less_equal(divide(X0,X1),X2),true,less_equal(divide(X0,X2),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f9499,plain,
    ( spl0_224
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X2),X1),true,less_equal(divide(X0,X1),X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f9594,plain,
    ( ! [X2,X0,X1] : true = ifeq(less_equal(divide(X0,X1),X2),true,less_equal(divide(X0,X2),X1),true)
    | ~ spl0_12
    | ~ spl0_224 ),
    inference(superposition,[],[f9500,f74]) ).

fof(f9500,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X2),X1),true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f9499]) ).

fof(f50502,plain,
    ( spl0_633
    | ~ spl0_20
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f517,f466,f146,f50500]) ).

fof(f517,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa_Q__idQ_idQa),true,less_equal(X0,idQa),true),true)
    | ~ spl0_20
    | ~ spl0_29 ),
    inference(superposition,[],[f147,f468]) ).

fof(f46803,plain,
    ( spl0_632
    | ~ spl0_12
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f42930,f42012,f73,f46801]) ).

fof(f42012,plain,
    ( spl0_595
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f42930,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa))
    | ~ spl0_12
    | ~ spl0_595 ),
    inference(superposition,[],[f42013,f74]) ).

fof(f42013,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa)),true)
    | ~ spl0_595 ),
    inference(avatar_component_clause,[],[f42012]) ).

fof(f46799,plain,
    ( spl0_631
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f9901,f9842,f1189,f73,f46797]) ).

fof(f46797,plain,
    ( spl0_631
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,X2,X0),true,less_equal(divide(X1,X0),X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f9901,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X2,X0),true,less_equal(divide(X1,X0),X2),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_228 ),
    inference(forward_demodulation,[],[f9863,f74]) ).

fof(f9863,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X2,X0),true,ifeq(true,true,less_equal(divide(X1,X0),X2),true),true)
    | ~ spl0_76
    | ~ spl0_228 ),
    inference(superposition,[],[f9843,f1190]) ).

fof(f46795,plain,
    ( spl0_630
    | ~ spl0_12
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f9133,f9048,f73,f46793]) ).

fof(f46793,plain,
    ( spl0_630
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,less_equal(X2,divide(identity,X1)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f9048,plain,
    ( spl0_215
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,less_equal(X2,divide(identity,X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f9133,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,less_equal(X2,divide(identity,X1)),true)
    | ~ spl0_12
    | ~ spl0_215 ),
    inference(superposition,[],[f9049,f74]) ).

fof(f9049,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,less_equal(X2,divide(identity,X0)),true),true)
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f9048]) ).

fof(f46791,plain,
    ( spl0_629
    | ~ spl0_12
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f9090,f8703,f73,f46789]) ).

fof(f46789,plain,
    ( spl0_629
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,zero),true,less_equal(divide(X0,X2),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f8703,plain,
    ( spl0_213
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,zero),true,less_equal(divide(X0,X1),X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f9090,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,zero),true,less_equal(divide(X0,X2),X1),true)
    | ~ spl0_12
    | ~ spl0_213 ),
    inference(superposition,[],[f8704,f74]) ).

fof(f8704,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,zero),true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f8703]) ).

fof(f46787,plain,
    ( spl0_628
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5375,f4785,f1071,f73,f46785]) ).

fof(f46785,plain,
    ( spl0_628
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X2),true,less_equal(divide(X0,X1),X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f1071,plain,
    ( spl0_71
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X0,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f5375,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X2),true,less_equal(divide(X0,X1),X2),true)
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5271,f74]) ).

fof(f5271,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X2),true,ifeq(true,true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_71
    | ~ spl0_129 ),
    inference(superposition,[],[f1072,f4786]) ).

fof(f1072,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X0,X2),true),true)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f46783,plain,
    ( spl0_627
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5373,f4785,f1056,f73,f46781]) ).

fof(f46781,plain,
    ( spl0_627
  <=> ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),X0,X2),true,less_equal(X2,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f1056,plain,
    ( spl0_68
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f5373,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),X0,X2),true,less_equal(X2,zero),true)
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5269,f74]) ).

fof(f5269,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(divide(X0,X1),X0,X2),true,ifeq(true,true,less_equal(X2,zero),true),true)
    | ~ spl0_68
    | ~ spl0_129 ),
    inference(superposition,[],[f1057,f4786]) ).

fof(f1057,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f46779,plain,
    ( spl0_626
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2326,f1396,f1189,f73,f46777]) ).

fof(f46777,plain,
    ( spl0_626
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,divide(X0,X1),X2),true,less_equal(X2,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f1396,plain,
    ( spl0_79
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(divide(X0,X1),X2),true,less_equal(X3,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2326,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,divide(X0,X1),X2),true,less_equal(X2,X1),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f2216,f74]) ).

fof(f2216,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,divide(X0,X1),X2),true,ifeq(true,true,less_equal(X2,X1),true),true)
    | ~ spl0_76
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f1190]) ).

fof(f1397,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(divide(X0,X1),X2),true,less_equal(X3,X1),true),true)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f46775,plain,
    ( spl0_625
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2263,f1404,f1189,f73,f46773]) ).

fof(f46773,plain,
    ( spl0_625
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,less_equal(divide(X0,X1),X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f2263,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,less_equal(divide(X0,X1),X2),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_81 ),
    inference(forward_demodulation,[],[f2169,f74]) ).

fof(f2169,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_76
    | ~ spl0_81 ),
    inference(superposition,[],[f1405,f1190]) ).

fof(f46771,plain,
    ( spl0_624
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2262,f1400,f1189,f73,f46769]) ).

fof(f46769,plain,
    ( spl0_624
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,less_equal(X2,divide(X1,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f2262,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,less_equal(X2,divide(X1,X0)),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(forward_demodulation,[],[f2168,f74]) ).

fof(f2168,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(true,true,less_equal(X2,divide(X1,X0)),true),true)
    | ~ spl0_76
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f1190]) ).

fof(f46200,plain,
    ( spl0_623
    | ~ spl0_12
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f42915,f42008,f73,f46198]) ).

fof(f46198,plain,
    ( spl0_623
  <=> ! [X0] : true = less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f42008,plain,
    ( spl0_594
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f42915,plain,
    ( ! [X0] : true = less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa)
    | ~ spl0_12
    | ~ spl0_594 ),
    inference(superposition,[],[f42009,f74]) ).

fof(f42009,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa),true)
    | ~ spl0_594 ),
    inference(avatar_component_clause,[],[f42008]) ).

fof(f43427,plain,
    ( spl0_622
    | ~ spl0_12
    | ~ spl0_592 ),
    inference(avatar_split_clause,[],[f42875,f42000,f73,f43425]) ).

fof(f43425,plain,
    ( spl0_622
  <=> ! [X0] : true = less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f42000,plain,
    ( spl0_592
  <=> ! [X0] : true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f42875,plain,
    ( ! [X0] : true = less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0)))
    | ~ spl0_12
    | ~ spl0_592 ),
    inference(superposition,[],[f42001,f74]) ).

fof(f42001,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0))),true)
    | ~ spl0_592 ),
    inference(avatar_component_clause,[],[f42000]) ).

fof(f43423,plain,
    ( spl0_621
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f10042,f9850,f466,f73,f43421]) ).

fof(f43421,plain,
    ( spl0_621
  <=> ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,less_equal(X1,divide(idQa,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f10042,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,less_equal(X1,divide(idQa,X0)),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_230 ),
    inference(forward_demodulation,[],[f10008,f74]) ).

fof(f10008,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(true,true,less_equal(X1,divide(idQa,X0)),true),true)
    | ~ spl0_29
    | ~ spl0_230 ),
    inference(superposition,[],[f9851,f468]) ).

fof(f43419,plain,
    ( spl0_620
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_229 ),
    inference(avatar_split_clause,[],[f9972,f9846,f466,f73,f43417]) ).

fof(f43417,plain,
    ( spl0_620
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,less_equal(divide(X0,idQa),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f9972,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,less_equal(divide(X0,idQa),X1),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_229 ),
    inference(forward_demodulation,[],[f9937,f74]) ).

fof(f9937,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,less_equal(divide(X0,idQa),X1),true),true)
    | ~ spl0_29
    | ~ spl0_229 ),
    inference(superposition,[],[f9847,f468]) ).

fof(f43415,plain,
    ( spl0_619
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f9907,f9842,f466,f73,f43413]) ).

fof(f43413,plain,
    ( spl0_619
  <=> ! [X0,X1] : true = ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,less_equal(divide(X0,idQa),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f9907,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,less_equal(divide(X0,idQa),X1),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_228 ),
    inference(forward_demodulation,[],[f9869,f74]) ).

fof(f9869,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,X1,idQa_Q__idQ_idQa),true,ifeq(true,true,less_equal(divide(X0,idQa),X1),true),true)
    | ~ spl0_29
    | ~ spl0_228 ),
    inference(superposition,[],[f9843,f468]) ).

fof(f43411,plain,
    ( spl0_618
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f8697,f8487,f4785,f73,f43409]) ).

fof(f43409,plain,
    ( spl0_618
  <=> ! [X0,X1] : true = ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,less_equal(X1,idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f8487,plain,
    ( spl0_212
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f8697,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,less_equal(X1,idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_212 ),
    inference(forward_demodulation,[],[f8680,f74]) ).

fof(f8680,plain,
    ( ! [X0,X1] : true = ifeq(quotient(divide(idQa,X0),idQ_idQa,X1),true,ifeq(true,true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_129
    | ~ spl0_212 ),
    inference(superposition,[],[f8488,f4786]) ).

fof(f8488,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f8487]) ).

fof(f43407,plain,
    ( spl0_617
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f8669,f8478,f4785,f73,f43405]) ).

fof(f43405,plain,
    ( spl0_617
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,less_equal(idQa_Q__idQ_idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f8478,plain,
    ( spl0_210
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f8669,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,less_equal(idQa_Q__idQ_idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_210 ),
    inference(forward_demodulation,[],[f8652,f74]) ).

fof(f8652,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,divide(idQ_idQa,X0),X1),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_210 ),
    inference(superposition,[],[f8479,f4786]) ).

fof(f8479,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f8478]) ).

fof(f43403,plain,
    ( spl0_616
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f8639,f8474,f4785,f73,f43401]) ).

fof(f43401,plain,
    ( spl0_616
  <=> ! [X0,X1] : true = ifeq(quotient(identity,divide(idQa,X0),X1),true,less_equal(idQ_idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f8474,plain,
    ( spl0_209
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f8639,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,divide(idQa,X0),X1),true,less_equal(idQ_idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_209 ),
    inference(forward_demodulation,[],[f8620,f74]) ).

fof(f8620,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,divide(idQa,X0),X1),true,ifeq(true,true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_209 ),
    inference(superposition,[],[f8475,f4786]) ).

fof(f8475,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f8474]) ).

fof(f43399,plain,
    ( spl0_615
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f8607,f8470,f4785,f73,f43397]) ).

fof(f43397,plain,
    ( spl0_615
  <=> ! [X0,X1] : true = ifeq(quotient(identity,divide(a,X0),X1),true,less_equal(idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f8470,plain,
    ( spl0_208
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f8607,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,divide(a,X0),X1),true,less_equal(idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_208 ),
    inference(forward_demodulation,[],[f8591,f74]) ).

fof(f8591,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,divide(a,X0),X1),true,ifeq(true,true,less_equal(idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_208 ),
    inference(superposition,[],[f8471,f4786]) ).

fof(f8471,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f8470]) ).

fof(f43395,plain,
    ( spl0_614
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f8579,f8466,f4785,f73,f43393]) ).

fof(f43393,plain,
    ( spl0_614
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,less_equal(idQa_Q__idQ_idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f8466,plain,
    ( spl0_207
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f8579,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,less_equal(idQa_Q__idQ_idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_207 ),
    inference(forward_demodulation,[],[f8562,f74]) ).

fof(f8562,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X1,divide(idQ_idQa,X0)),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_207 ),
    inference(superposition,[],[f8467,f4786]) ).

fof(f8467,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f8466]) ).

fof(f43391,plain,
    ( spl0_613
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f8549,f8462,f4785,f73,f43389]) ).

fof(f43389,plain,
    ( spl0_613
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(idQa,X0)),true,less_equal(idQ_idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f8462,plain,
    ( spl0_206
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f8549,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(idQa,X0)),true,less_equal(idQ_idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_206 ),
    inference(forward_demodulation,[],[f8529,f74]) ).

fof(f8529,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(idQa,X0)),true,ifeq(true,true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_206 ),
    inference(superposition,[],[f8463,f4786]) ).

fof(f8463,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f8462]) ).

fof(f43387,plain,
    ( spl0_612
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f8516,f8458,f4785,f73,f43385]) ).

fof(f43385,plain,
    ( spl0_612
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(a,X0)),true,less_equal(idQa,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f8458,plain,
    ( spl0_205
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f8516,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(a,X0)),true,less_equal(idQa,X1),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_205 ),
    inference(forward_demodulation,[],[f8498,f74]) ).

fof(f8498,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X1,divide(a,X0)),true,ifeq(true,true,less_equal(idQa,X1),true),true)
    | ~ spl0_129
    | ~ spl0_205 ),
    inference(superposition,[],[f8459,f4786]) ).

fof(f8459,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true)
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f8458]) ).

fof(f43383,plain,
    ( spl0_611
    | ~ spl0_12
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f42834,f41992,f73,f43381]) ).

fof(f43381,plain,
    ( spl0_611
  <=> ! [X0] : true = less_equal(idQ_idQa,divide(identity,divide(idQa,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f41992,plain,
    ( spl0_590
  <=> ! [X0] : true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,divide(idQa,X0))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f42834,plain,
    ( ! [X0] : true = less_equal(idQ_idQa,divide(identity,divide(idQa,X0)))
    | ~ spl0_12
    | ~ spl0_590 ),
    inference(superposition,[],[f41993,f74]) ).

fof(f41993,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,divide(idQa,X0))),true)
    | ~ spl0_590 ),
    inference(avatar_component_clause,[],[f41992]) ).

fof(f43379,plain,
    ( spl0_610
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1528,f1404,f466,f73,f43377]) ).

fof(f43377,plain,
    ( spl0_610
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,less_equal(divide(idQa_Q__idQ_idQa,X0),X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f1528,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,less_equal(divide(idQa_Q__idQ_idQa,X0),X1),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_81 ),
    inference(forward_demodulation,[],[f1507,f74]) ).

fof(f1507,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,X0),X1),true),true)
    | ~ spl0_29
    | ~ spl0_81 ),
    inference(superposition,[],[f1405,f468]) ).

fof(f43375,plain,
    ( spl0_609
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1495,f1400,f466,f73,f43373]) ).

fof(f43373,plain,
    ( spl0_609
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,less_equal(X1,divide(X0,idQa_Q__idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f1495,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,less_equal(X1,divide(X0,idQa_Q__idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_80 ),
    inference(forward_demodulation,[],[f1477,f74]) ).

fof(f1477,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,less_equal(X1,divide(X0,idQa_Q__idQ_idQa)),true),true)
    | ~ spl0_29
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f468]) ).

fof(f42998,plain,
    ( spl0_608
    | ~ spl0_12
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f42790,f40195,f73,f42996]) ).

fof(f42996,plain,
    ( spl0_608
  <=> ! [X0] : true = less_equal(idQa,divide(identity,divide(a,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f40195,plain,
    ( spl0_588
  <=> ! [X0] : true = ifeq(true,true,less_equal(idQa,divide(identity,divide(a,X0))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f42790,plain,
    ( ! [X0] : true = less_equal(idQa,divide(identity,divide(a,X0)))
    | ~ spl0_12
    | ~ spl0_588 ),
    inference(superposition,[],[f40196,f74]) ).

fof(f40196,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQa,divide(identity,divide(a,X0))),true)
    | ~ spl0_588 ),
    inference(avatar_component_clause,[],[f40195]) ).

fof(f42994,plain,
    ( spl0_607
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f9613,f9499,f1189,f73,f42992]) ).

fof(f9613,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,divide(X0,X1)),X1),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_224 ),
    inference(forward_demodulation,[],[f9579,f74]) ).

fof(f9579,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,divide(X0,X1)),X1),true),true)
    | ~ spl0_76
    | ~ spl0_224 ),
    inference(superposition,[],[f9500,f1190]) ).

fof(f42990,plain,
    ( spl0_606
    | ~ spl0_12
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f8442,f8327,f73,f42988]) ).

fof(f42988,plain,
    ( spl0_606
  <=> ! [X0,X1] : true = ifeq(less_equal(X0,zero),true,less_equal(X1,divide(X1,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f8327,plain,
    ( spl0_203
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X0,divide(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f8442,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,zero),true,less_equal(X1,divide(X1,X0)),true)
    | ~ spl0_12
    | ~ spl0_203 ),
    inference(superposition,[],[f8328,f74]) ).

fof(f8328,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X0,divide(X0,X1)),true),true)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f8327]) ).

fof(f42986,plain,
    ( spl0_605
    | ~ spl0_12
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8414,f8323,f73,f42984]) ).

fof(f42984,plain,
    ( spl0_605
  <=> ! [X0,X1] : true = ifeq(less_equal(divide(X0,X1),zero),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f8323,plain,
    ( spl0_202
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X1),zero),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f8414,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(divide(X0,X1),zero),true,less_equal(X0,X1),true)
    | ~ spl0_12
    | ~ spl0_202 ),
    inference(superposition,[],[f8324,f74]) ).

fof(f8324,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X1),zero),true,less_equal(X0,X1),true),true)
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f8323]) ).

fof(f42982,plain,
    ( spl0_604
    | ~ spl0_12
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f8384,f8319,f73,f42980]) ).

fof(f42980,plain,
    ( spl0_604
  <=> ! [X0,X1] : true = ifeq(less_equal(identity,X0),true,less_equal(divide(X1,X0),zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f8319,plain,
    ( spl0_201
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(identity,X1),true,less_equal(divide(X0,X1),zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f8384,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(identity,X0),true,less_equal(divide(X1,X0),zero),true)
    | ~ spl0_12
    | ~ spl0_201 ),
    inference(superposition,[],[f8320,f74]) ).

fof(f8320,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(identity,X1),true,less_equal(divide(X0,X1),zero),true),true)
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f8319]) ).

fof(f42977,plain,
    ( spl0_603
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f8361,f8315,f4785,f73,f42975]) ).

fof(f42975,plain,
    ( spl0_603
  <=> ! [X0,X1] : true = ifeq(true,true,less_equal(divide(divide(X0,X1),X0),zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f8315,plain,
    ( spl0_200
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X1),zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f8361,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(divide(X0,X1),X0),zero),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_200 ),
    inference(forward_demodulation,[],[f8340,f74]) ).

fof(f8340,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(divide(X0,X1),X0),zero),true),true)
    | ~ spl0_129
    | ~ spl0_200 ),
    inference(superposition,[],[f8316,f4786]) ).

fof(f8316,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X1),zero),true),true)
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f8315]) ).

fof(f42973,plain,
    ( spl0_602
    | ~ spl0_12
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f8354,f8315,f73,f42971]) ).

fof(f42971,plain,
    ( spl0_602
  <=> ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X1),zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f8354,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X1),zero),true)
    | ~ spl0_12
    | ~ spl0_200 ),
    inference(superposition,[],[f8316,f74]) ).

fof(f42969,plain,
    ( spl0_601
    | ~ spl0_13
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f7191,f7175,f77,f42967]) ).

fof(f7175,plain,
    ( spl0_162
  <=> ! [X2,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,less_equal(divide(X0,X1),X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f7191,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X1,X0),divide(identity,X0)),true)
    | ~ spl0_13
    | ~ spl0_162 ),
    inference(superposition,[],[f7176,f78]) ).

fof(f7176,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,less_equal(divide(X0,X1),X2),true)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f7175]) ).

fof(f42965,plain,
    ( spl0_600
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5357,f4785,f146,f73,f42963]) ).

fof(f42963,plain,
    ( spl0_600
  <=> ! [X2,X0,X1] : true = ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f5357,plain,
    ( ! [X2,X0,X1] : true = ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X2),true)
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5255,f74]) ).

fof(f5255,plain,
    ( ! [X2,X0,X1] : true = ifeq(less_equal(X0,X2),true,ifeq(true,true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_20
    | ~ spl0_129 ),
    inference(superposition,[],[f147,f4786]) ).

fof(f42961,plain,
    ( spl0_599
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5356,f4785,f127,f69,f42959]) ).

fof(f42959,plain,
    ( spl0_599
  <=> ! [X0,X1] : ifeq2(less_equal(X0,divide(X0,X1)),true,divide(X0,X1),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f5356,plain,
    ( ! [X0,X1] : ifeq2(less_equal(X0,divide(X0,X1)),true,divide(X0,X1),X0) = X0
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5253,f70]) ).

fof(f5253,plain,
    ( ! [X0,X1] : ifeq2(less_equal(X0,divide(X0,X1)),true,ifeq2(true,true,divide(X0,X1),X0),X0) = X0
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(superposition,[],[f128,f4786]) ).

fof(f42941,plain,
    ( spl0_598
    | ~ spl0_11
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f42019,f40134,f69,f42938]) ).

fof(f42938,plain,
    ( spl0_598
  <=> idQa_Q__idQ_idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f40134,plain,
    ( spl0_573
  <=> idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f42019,plain,
    ( idQa_Q__idQ_idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa)
    | ~ spl0_11
    | ~ spl0_573 ),
    inference(superposition,[],[f40136,f70]) ).

fof(f40136,plain,
    ( idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa)
    | ~ spl0_573 ),
    inference(avatar_component_clause,[],[f40134]) ).

fof(f42059,plain,
    ( spl0_597
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f41458,f40155,f1392,f69,f42057]) ).

fof(f1392,plain,
    ( spl0_78
  <=> ! [X2,X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1)),divide(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f40155,plain,
    ( spl0_578
  <=> ! [X0,X1] : true = quotient(divide(X0,X1),X0,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f41458,plain,
    ( ! [X0,X1] : zero = divide(divide(X0,X1),X0)
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_578 ),
    inference(forward_demodulation,[],[f41457,f70]) ).

fof(f41457,plain,
    ( ! [X0,X1] : divide(divide(X0,X1),X0) = ifeq2(true,true,zero,divide(divide(X0,X1),X0))
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_578 ),
    inference(forward_demodulation,[],[f40565,f70]) ).

fof(f40565,plain,
    ( ! [X0,X1] : divide(divide(X0,X1),X0) = ifeq2(true,true,ifeq2(true,true,zero,divide(divide(X0,X1),X0)),divide(divide(X0,X1),X0))
    | ~ spl0_78
    | ~ spl0_578 ),
    inference(superposition,[],[f1393,f40156]) ).

fof(f40156,plain,
    ( ! [X0,X1] : true = quotient(divide(X0,X1),X0,zero)
    | ~ spl0_578 ),
    inference(avatar_component_clause,[],[f40155]) ).

fof(f1393,plain,
    ( ! [X2,X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1)),divide(X0,X1))
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f42018,plain,
    ( spl0_596
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f9717,f9507,f466,f73,f42016]) ).

fof(f9717,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0)),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_226 ),
    inference(forward_demodulation,[],[f9687,f74]) ).

fof(f9687,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,X0),divide(idQa,X0)),true),true)
    | ~ spl0_29
    | ~ spl0_226 ),
    inference(superposition,[],[f9508,f468]) ).

fof(f42014,plain,
    ( spl0_595
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f9666,f9503,f466,f73,f42012]) ).

fof(f9666,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_225 ),
    inference(forward_demodulation,[],[f9634,f74]) ).

fof(f9634,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,idQa),divide(X0,idQa_Q__idQ_idQa)),true),true)
    | ~ spl0_29
    | ~ spl0_225 ),
    inference(superposition,[],[f9504,f468]) ).

fof(f42010,plain,
    ( spl0_594
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f8305,f7983,f4785,f73,f42008]) ).

fof(f7983,plain,
    ( spl0_198
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f8305,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_198 ),
    inference(forward_demodulation,[],[f8291,f74]) ).

fof(f8291,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(divide(idQa,X0),idQ_idQa),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_129
    | ~ spl0_198 ),
    inference(superposition,[],[f7984,f4786]) ).

fof(f7984,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f7983]) ).

fof(f42006,plain,
    ( spl0_593
    | ~ spl0_12
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f8297,f7983,f73,f42004]) ).

fof(f42004,plain,
    ( spl0_593
  <=> ! [X0] : true = ifeq(less_equal(X0,idQa),true,less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f8297,plain,
    ( ! [X0] : true = ifeq(less_equal(X0,idQa),true,less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_198 ),
    inference(superposition,[],[f7984,f74]) ).

fof(f42002,plain,
    ( spl0_592
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f8283,f7979,f4785,f73,f42000]) ).

fof(f7979,plain,
    ( spl0_197
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,divide(idQa,X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f8283,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0))),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_197 ),
    inference(forward_demodulation,[],[f8271,f74]) ).

fof(f8271,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQ_idQa,X0))),true),true)
    | ~ spl0_129
    | ~ spl0_197 ),
    inference(superposition,[],[f7980,f4786]) ).

fof(f7980,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,divide(idQa,X0)),true),true)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f7979]) ).

fof(f41998,plain,
    ( spl0_591
    | ~ spl0_12
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f8276,f7979,f73,f41996]) ).

fof(f41996,plain,
    ( spl0_591
  <=> ! [X0] : true = ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,divide(idQa,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f8276,plain,
    ( ! [X0] : true = ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,divide(idQa,X0)),true)
    | ~ spl0_12
    | ~ spl0_197 ),
    inference(superposition,[],[f7980,f74]) ).

fof(f41994,plain,
    ( spl0_590
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f8261,f7975,f4785,f73,f41992]) ).

fof(f7975,plain,
    ( spl0_196
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,divide(identity,X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f8261,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,divide(idQa,X0))),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_196 ),
    inference(forward_demodulation,[],[f8246,f74]) ).

fof(f8246,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(idQ_idQa,divide(identity,divide(idQa,X0))),true),true)
    | ~ spl0_129
    | ~ spl0_196 ),
    inference(superposition,[],[f7976,f4786]) ).

fof(f7976,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,divide(identity,X0)),true),true)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f7975]) ).

fof(f41990,plain,
    ( spl0_589
    | ~ spl0_12
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f8253,f7975,f73,f41988]) ).

fof(f41988,plain,
    ( spl0_589
  <=> ! [X0] : true = ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,divide(identity,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f8253,plain,
    ( ! [X0] : true = ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,divide(identity,X0)),true)
    | ~ spl0_12
    | ~ spl0_196 ),
    inference(superposition,[],[f7976,f74]) ).

fof(f40197,plain,
    ( spl0_588
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f8237,f7971,f4785,f73,f40195]) ).

fof(f7971,plain,
    ( spl0_195
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,a),true,less_equal(idQa,divide(identity,X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f8237,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(idQa,divide(identity,divide(a,X0))),true)
    | ~ spl0_12
    | ~ spl0_129
    | ~ spl0_195 ),
    inference(forward_demodulation,[],[f8223,f74]) ).

fof(f8223,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(idQa,divide(identity,divide(a,X0))),true),true)
    | ~ spl0_129
    | ~ spl0_195 ),
    inference(superposition,[],[f7972,f4786]) ).

fof(f7972,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,a),true,less_equal(idQa,divide(identity,X0)),true),true)
    | ~ spl0_195 ),
    inference(avatar_component_clause,[],[f7971]) ).

fof(f40193,plain,
    ( spl0_587
    | ~ spl0_12
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f8230,f7971,f73,f40191]) ).

fof(f40191,plain,
    ( spl0_587
  <=> ! [X0] : true = ifeq(less_equal(X0,a),true,less_equal(idQa,divide(identity,X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f8230,plain,
    ( ! [X0] : true = ifeq(less_equal(X0,a),true,less_equal(idQa,divide(identity,X0)),true)
    | ~ spl0_12
    | ~ spl0_195 ),
    inference(superposition,[],[f7972,f74]) ).

fof(f40189,plain,
    ( spl0_586
    | ~ spl0_12
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f8210,f7967,f73,f40187]) ).

fof(f40187,plain,
    ( spl0_586
  <=> ! [X0] : true = ifeq(less_equal(divide(idQa,X0),idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f7967,plain,
    ( spl0_194
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(idQa,X0),idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f8210,plain,
    ( ! [X0] : true = ifeq(less_equal(divide(idQa,X0),idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_194 ),
    inference(superposition,[],[f7968,f74]) ).

fof(f7968,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(idQa,X0),idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f7967]) ).

fof(f40185,plain,
    ( spl0_585
    | ~ spl0_12
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f8184,f7963,f73,f40183]) ).

fof(f40183,plain,
    ( spl0_585
  <=> ! [X0] : true = ifeq(less_equal(divide(identity,X0),idQa),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f7963,plain,
    ( spl0_193
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),idQa),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f8184,plain,
    ( ! [X0] : true = ifeq(less_equal(divide(identity,X0),idQa),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_193 ),
    inference(superposition,[],[f7964,f74]) ).

fof(f7964,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f7963]) ).

fof(f40181,plain,
    ( spl0_584
    | ~ spl0_12
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f8164,f7959,f73,f40179]) ).

fof(f40179,plain,
    ( spl0_584
  <=> ! [X0] : true = ifeq(less_equal(divide(identity,X0),a),true,less_equal(idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f7959,plain,
    ( spl0_192
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),a),true,less_equal(idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f8164,plain,
    ( ! [X0] : true = ifeq(less_equal(divide(identity,X0),a),true,less_equal(idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_192 ),
    inference(superposition,[],[f7960,f74]) ).

fof(f7960,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),a),true,less_equal(idQa,X0),true),true)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f7959]) ).

fof(f40177,plain,
    ( spl0_583
    | ~ spl0_12
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f8149,f7955,f73,f40175]) ).

fof(f40175,plain,
    ( spl0_583
  <=> ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f7955,plain,
    ( spl0_191
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f8149,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_191 ),
    inference(superposition,[],[f7956,f74]) ).

fof(f7956,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f7955]) ).

fof(f40173,plain,
    ( spl0_582
    | ~ spl0_12
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f8135,f7951,f73,f40171]) ).

fof(f40171,plain,
    ( spl0_582
  <=> ! [X0] : true = ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,divide(X0,idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f7951,plain,
    ( spl0_190
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,divide(X0,idQa)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f8135,plain,
    ( ! [X0] : true = ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,divide(X0,idQa)),true)
    | ~ spl0_12
    | ~ spl0_190 ),
    inference(superposition,[],[f7952,f74]) ).

fof(f7952,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,divide(X0,idQa)),true),true)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f7951]) ).

fof(f40169,plain,
    ( spl0_581
    | ~ spl0_12
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f8121,f7942,f73,f40167]) ).

fof(f40167,plain,
    ( spl0_581
  <=> ! [X0] : true = ifeq(less_equal(identity,X0),true,less_equal(idQa,divide(X0,a)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f7942,plain,
    ( spl0_188
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQa,divide(X0,a)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f8121,plain,
    ( ! [X0] : true = ifeq(less_equal(identity,X0),true,less_equal(idQa,divide(X0,a)),true)
    | ~ spl0_12
    | ~ spl0_188 ),
    inference(superposition,[],[f7943,f74]) ).

fof(f7943,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQa,divide(X0,a)),true),true)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f7942]) ).

fof(f40165,plain,
    ( spl0_580
    | ~ spl0_12
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f8102,f7938,f73,f40163]) ).

fof(f40163,plain,
    ( spl0_580
  <=> ! [X0] : true = ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f7938,plain,
    ( spl0_187
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f8102,plain,
    ( ! [X0] : true = ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_187 ),
    inference(superposition,[],[f7939,f74]) ).

fof(f7939,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f7938]) ).

fof(f40161,plain,
    ( spl0_579
    | ~ spl0_12
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f8082,f7934,f73,f40159]) ).

fof(f40159,plain,
    ( spl0_579
  <=> ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f7934,plain,
    ( spl0_186
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f8082,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_186 ),
    inference(superposition,[],[f7935,f74]) ).

fof(f7935,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),idQ_idQa),true),true)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f7934]) ).

fof(f40157,plain,
    ( spl0_578
    | ~ spl0_12
    | ~ spl0_571 ),
    inference(avatar_split_clause,[],[f39514,f39048,f73,f40155]) ).

fof(f39048,plain,
    ( spl0_571
  <=> ! [X0,X1] : true = ifeq(true,true,quotient(divide(X0,X1),X0,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f39514,plain,
    ( ! [X0,X1] : true = quotient(divide(X0,X1),X0,zero)
    | ~ spl0_12
    | ~ spl0_571 ),
    inference(superposition,[],[f39049,f74]) ).

fof(f39049,plain,
    ( ! [X0,X1] : true = ifeq(true,true,quotient(divide(X0,X1),X0,zero),true)
    | ~ spl0_571 ),
    inference(avatar_component_clause,[],[f39048]) ).

fof(f40153,plain,
    ( spl0_577
    | ~ spl0_12
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f8060,f7930,f73,f40151]) ).

fof(f40151,plain,
    ( spl0_577
  <=> ! [X0] : true = ifeq(less_equal(a,X0),true,less_equal(divide(identity,X0),idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f7930,plain,
    ( spl0_185
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(a,X0),true,less_equal(divide(identity,X0),idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f8060,plain,
    ( ! [X0] : true = ifeq(less_equal(a,X0),true,less_equal(divide(identity,X0),idQa),true)
    | ~ spl0_12
    | ~ spl0_185 ),
    inference(superposition,[],[f7931,f74]) ).

fof(f7931,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(a,X0),true,less_equal(divide(identity,X0),idQa),true),true)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f7930]) ).

fof(f40149,plain,
    ( spl0_576
    | ~ spl0_12
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f8039,f7926,f73,f40147]) ).

fof(f40147,plain,
    ( spl0_576
  <=> ! [X0] : true = ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f7926,plain,
    ( spl0_184
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f8039,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_184 ),
    inference(superposition,[],[f7927,f74]) ).

fof(f7927,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQ_idQa),true),true)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f7926]) ).

fof(f40145,plain,
    ( spl0_575
    | ~ spl0_12
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f8016,f7922,f73,f40143]) ).

fof(f40143,plain,
    ( spl0_575
  <=> ! [X0] : true = ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(identity,X0),idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f7922,plain,
    ( spl0_183
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(identity,X0),idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f8016,plain,
    ( ! [X0] : true = ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(identity,X0),idQa),true)
    | ~ spl0_12
    | ~ spl0_183 ),
    inference(superposition,[],[f7923,f74]) ).

fof(f7923,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(identity,X0),idQa),true),true)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f7922]) ).

fof(f40141,plain,
    ( spl0_574
    | ~ spl0_12
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f7993,f7918,f73,f40139]) ).

fof(f40139,plain,
    ( spl0_574
  <=> ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),a),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f7918,plain,
    ( spl0_182
  <=> ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),a),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f7993,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),a),true)
    | ~ spl0_12
    | ~ spl0_182 ),
    inference(superposition,[],[f7919,f74]) ).

fof(f7919,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),a),true),true)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f7918]) ).

fof(f40137,plain,
    ( spl0_573
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f515,f466,f127,f40134]) ).

fof(f515,plain,
    ( idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa)
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(superposition,[],[f128,f468]) ).

fof(f39054,plain,
    ( spl0_572
    | ~ spl0_12
    | ~ spl0_79
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5355,f4785,f1396,f73,f39052]) ).

fof(f39052,plain,
    ( spl0_572
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X2),true,less_equal(X2,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f5355,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X2),true,less_equal(X2,X1),true)
    | ~ spl0_12
    | ~ spl0_79
    | ~ spl0_129 ),
    inference(forward_demodulation,[],[f5249,f74]) ).

fof(f5249,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X0,X2),true,ifeq(true,true,less_equal(X2,X1),true),true)
    | ~ spl0_79
    | ~ spl0_129 ),
    inference(superposition,[],[f1397,f4786]) ).

fof(f39050,plain,
    ( spl0_571
    | ~ spl0_14
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f5250,f4785,f81,f39048]) ).

fof(f81,plain,
    ( spl0_14
  <=> ! [X4,X3] : true = ifeq(less_equal(X3,X4),true,quotient(X3,X4,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f5250,plain,
    ( ! [X0,X1] : true = ifeq(true,true,quotient(divide(X0,X1),X0,zero),true)
    | ~ spl0_14
    | ~ spl0_129 ),
    inference(superposition,[],[f82,f4786]) ).

fof(f82,plain,
    ( ! [X3,X4] : true = ifeq(less_equal(X3,X4),true,quotient(X3,X4,zero),true)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f39008,plain,
    ( spl0_570
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2254,f1189,f1071,f73,f39006]) ).

fof(f39006,plain,
    ( spl0_570
  <=> ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f2254,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,less_equal(X0,X1),true)
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2160,f74]) ).

fof(f2160,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X0,X1),true),true)
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(superposition,[],[f1072,f1190]) ).

fof(f36538,plain,
    ( spl0_569
    | ~ spl0_12
    | ~ spl0_164
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f9609,f9499,f7183,f73,f36536]) ).

fof(f36536,plain,
    ( spl0_569
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQ_idQa),idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f7183,plain,
    ( spl0_164
  <=> ! [X0] : true = less_equal(divide(X0,idQa),idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f9609,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQ_idQa),idQa),true)
    | ~ spl0_12
    | ~ spl0_164
    | ~ spl0_224 ),
    inference(forward_demodulation,[],[f9577,f74]) ).

fof(f9577,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,idQ_idQa),idQa),true),true)
    | ~ spl0_164
    | ~ spl0_224 ),
    inference(superposition,[],[f9500,f7184]) ).

fof(f7184,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQa),idQ_idQa)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f7183]) ).

fof(f35599,plain,
    ( spl0_568
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f8640,f8474,f466,f73,f35597]) ).

fof(f35597,plain,
    ( spl0_568
  <=> ! [X0] : true = ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f8640,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_209 ),
    inference(forward_demodulation,[],[f8621,f74]) ).

fof(f8621,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_29
    | ~ spl0_209 ),
    inference(superposition,[],[f8475,f468]) ).

fof(f35595,plain,
    ( spl0_567
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f8576,f8466,f1189,f73,f35593]) ).

fof(f35593,plain,
    ( spl0_567
  <=> ! [X0] : true = ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f8576,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_207 ),
    inference(forward_demodulation,[],[f8559,f74]) ).

fof(f8559,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,X0,idQ_idQa),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_76
    | ~ spl0_207 ),
    inference(superposition,[],[f8467,f1190]) ).

fof(f35591,plain,
    ( spl0_566
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f8550,f8462,f466,f73,f35589]) ).

fof(f35589,plain,
    ( spl0_566
  <=> ! [X0] : true = ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f8550,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(forward_demodulation,[],[f8530,f74]) ).

fof(f8530,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,idQa_Q__idQ_idQa),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(superposition,[],[f8463,f468]) ).

fof(f35587,plain,
    ( spl0_565
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f8546,f8462,f1189,f73,f35585]) ).

fof(f35585,plain,
    ( spl0_565
  <=> ! [X0] : true = ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f8546,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,idQa),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_206 ),
    inference(forward_demodulation,[],[f8526,f74]) ).

fof(f8526,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,idQa),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_76
    | ~ spl0_206 ),
    inference(superposition,[],[f8463,f1190]) ).

fof(f35583,plain,
    ( spl0_564
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f8514,f8458,f1189,f73,f35581]) ).

fof(f35581,plain,
    ( spl0_564
  <=> ! [X0] : true = ifeq(quotient(identity,X0,a),true,less_equal(idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f8514,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,a),true,less_equal(idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_205 ),
    inference(forward_demodulation,[],[f8496,f74]) ).

fof(f8496,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,a),true,ifeq(true,true,less_equal(idQa,X0),true),true)
    | ~ spl0_76
    | ~ spl0_205 ),
    inference(superposition,[],[f8459,f1190]) ).

fof(f35579,plain,
    ( spl0_563
    | ~ spl0_12
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f7904,f7868,f73,f35577]) ).

fof(f35577,plain,
    ( spl0_563
  <=> ! [X0] : true = ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f7868,plain,
    ( spl0_180
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f7904,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_180 ),
    inference(superposition,[],[f7869,f74]) ).

fof(f7869,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f7868]) ).

fof(f35575,plain,
    ( spl0_562
    | ~ spl0_12
    | ~ spl0_159
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f9608,f9499,f6577,f73,f35573]) ).

fof(f6577,plain,
    ( spl0_159
  <=> ! [X0] : true = less_equal(divide(X0,a),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f9608,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),a),true)
    | ~ spl0_12
    | ~ spl0_159
    | ~ spl0_224 ),
    inference(forward_demodulation,[],[f9576,f74]) ).

fof(f9576,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,idQa),a),true),true)
    | ~ spl0_159
    | ~ spl0_224 ),
    inference(superposition,[],[f9500,f6578]) ).

fof(f6578,plain,
    ( ! [X0] : true = less_equal(divide(X0,a),idQa)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f6577]) ).

fof(f35571,plain,
    ( spl0_561
    | ~ spl0_12
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f7890,f7864,f73,f35569]) ).

fof(f35569,plain,
    ( spl0_561
  <=> ! [X0] : true = ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f7864,plain,
    ( spl0_179
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f7890,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_179 ),
    inference(superposition,[],[f7865,f74]) ).

fof(f7865,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f7864]) ).

fof(f35567,plain,
    ( spl0_560
    | ~ spl0_12
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f7876,f7860,f73,f35565]) ).

fof(f35565,plain,
    ( spl0_560
  <=> ! [X0] : true = ifeq(quotient(identity,X0,zero),true,less_equal(idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f7860,plain,
    ( spl0_178
  <=> ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f7876,plain,
    ( ! [X0] : true = ifeq(quotient(identity,X0,zero),true,less_equal(idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_178 ),
    inference(superposition,[],[f7861,f74]) ).

fof(f7861,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa,X0),true),true)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f7860]) ).

fof(f35563,plain,
    ( spl0_559
    | ~ spl0_12
    | ~ spl0_61
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2348,f1189,f874,f73,f35561]) ).

fof(f35561,plain,
    ( spl0_559
  <=> ! [X0] : true = ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X0,idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f874,plain,
    ( spl0_61
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2348,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X0,idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_61
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2232,f74]) ).

fof(f2232,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,ifeq(true,true,less_equal(X0,idQ_idQa),true),true)
    | ~ spl0_61
    | ~ spl0_76 ),
    inference(superposition,[],[f875,f1190]) ).

fof(f875,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f35559,plain,
    ( spl0_558
    | ~ spl0_12
    | ~ spl0_64
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2341,f1189,f886,f73,f35557]) ).

fof(f35557,plain,
    ( spl0_558
  <=> ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f886,plain,
    ( spl0_64
  <=> ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2341,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X0,idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_64
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2227,f74]) ).

fof(f2227,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X0,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_64
    | ~ spl0_76 ),
    inference(superposition,[],[f887,f1190]) ).

fof(f887,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f35555,plain,
    ( spl0_557
    | ~ spl0_12
    | ~ spl0_67
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2332,f1189,f898,f73,f35553]) ).

fof(f35553,plain,
    ( spl0_557
  <=> ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f898,plain,
    ( spl0_67
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2332,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_67
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2220,f74]) ).

fof(f2220,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_67
    | ~ spl0_76 ),
    inference(superposition,[],[f899,f1190]) ).

fof(f899,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f35551,plain,
    ( spl0_556
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1168,f1071,f466,f73,f35549]) ).

fof(f35549,plain,
    ( spl0_556
  <=> ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f1168,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(forward_demodulation,[],[f1156,f74]) ).

fof(f1156,plain,
    ( ! [X0] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(superposition,[],[f1072,f468]) ).

fof(f35547,plain,
    ( spl0_555
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1098,f1056,f466,f73,f35545]) ).

fof(f35545,plain,
    ( spl0_555
  <=> ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa,X0),true,less_equal(X0,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f1098,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa,X0),true,less_equal(X0,zero),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_68 ),
    inference(forward_demodulation,[],[f1084,f74]) ).

fof(f1084,plain,
    ( ! [X0] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa,X0),true,ifeq(true,true,less_equal(X0,zero),true),true)
    | ~ spl0_29
    | ~ spl0_68 ),
    inference(superposition,[],[f1057,f468]) ).

fof(f35367,plain,
    ( spl0_554
    | ~ spl0_12
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f5955,f5905,f73,f35365]) ).

fof(f35365,plain,
    ( spl0_554
  <=> ! [X5,X3,X4,X0,X6,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X5,X1,X6),true,ifeq(quotient(X5,X3,X0),true,less_equal(divide(X6,X4),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f5905,plain,
    ( spl0_138
  <=> ! [X2,X6,X4,X3,X0,X5,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X3,X1),true,ifeq(quotient(X6,X3,X0),true,ifeq(quotient(X6,X5,X2),true,less_equal(divide(X0,X1),X4),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f5955,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X5,X1,X6),true,ifeq(quotient(X5,X3,X0),true,less_equal(divide(X6,X4),X2),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_138 ),
    inference(superposition,[],[f5906,f74]) ).

fof(f5906,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X3,X1),true,ifeq(quotient(X6,X3,X0),true,ifeq(quotient(X6,X5,X2),true,less_equal(divide(X0,X1),X4),true),true),true),true),true)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f5905]) ).

fof(f35208,plain,
    ( spl0_553
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f8364,f8315,f6053,f73,f35205]) ).

fof(f35205,plain,
    ( spl0_553
  <=> true = ifeq(true,true,less_equal(divide(idQ_idQa,a),zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f6053,plain,
    ( spl0_140
  <=> true = less_equal(idQ_idQa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f8364,plain,
    ( true = ifeq(true,true,less_equal(divide(idQ_idQa,a),zero),true)
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_200 ),
    inference(forward_demodulation,[],[f8343,f74]) ).

fof(f8343,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(divide(idQ_idQa,a),zero),true),true)
    | ~ spl0_140
    | ~ spl0_200 ),
    inference(superposition,[],[f8316,f6055]) ).

fof(f6055,plain,
    ( true = less_equal(idQ_idQa,a)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f6053]) ).

fof(f34730,plain,
    ( spl0_552
    | ~ spl0_13
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f5126,f4801,f77,f34728]) ).

fof(f34728,plain,
    ( spl0_552
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(true,true,ifeq(quotient(divide(X2,X3),X4,X5),true,ifeq(quotient(X3,X4,X1),true,ifeq(quotient(X2,X4,X0),true,less_equal(divide(X0,X1),X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f4801,plain,
    ( spl0_133
  <=> ! [X5,X3,X4,X0,X6,X2,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(divide(X0,X1),X5,X6),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,less_equal(X4,X6),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f5126,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(divide(X2,X3),X4,X5),true,ifeq(quotient(X3,X4,X1),true,ifeq(quotient(X2,X4,X0),true,less_equal(divide(X0,X1),X5),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_133 ),
    inference(superposition,[],[f4802,f78]) ).

fof(f4802,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(divide(X0,X1),X5,X6),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,less_equal(X4,X6),true),true),true),true)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f4801]) ).

fof(f34726,plain,
    ( spl0_551
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f5026,f4797,f77,f34724]) ).

fof(f34724,plain,
    ( spl0_551
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X5,X1,X2),true,ifeq(quotient(X0,X5,X3),true,less_equal(divide(divide(X0,X1),X2),X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f4797,plain,
    ( spl0_132
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X0,X6,X4),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f5026,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X5,X1,X2),true,ifeq(quotient(X0,X5,X3),true,less_equal(divide(divide(X0,X1),X2),X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(superposition,[],[f4798,f78]) ).

fof(f4798,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X0,X6,X4),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f4797]) ).

fof(f34722,plain,
    ( spl0_550
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f4918,f4793,f77,f34720]) ).

fof(f34720,plain,
    ( spl0_550
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X3,X2,X4),true,ifeq(quotient(X5,X2,X0),true,ifeq(quotient(X5,X1,X3),true,less_equal(divide(X0,divide(X1,X2)),X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f4793,plain,
    ( spl0_131
  <=> ! [X2,X6,X4,X0,X5,X3,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X0,X4),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4918,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(X3,X2,X4),true,ifeq(quotient(X5,X2,X0),true,ifeq(quotient(X5,X1,X3),true,less_equal(divide(X0,divide(X1,X2)),X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(superposition,[],[f4794,f78]) ).

fof(f4794,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X0,X4),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f4793]) ).

fof(f34718,plain,
    ( spl0_549
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4807,f4789,f77,f34716]) ).

fof(f34716,plain,
    ( spl0_549
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,X5),true,less_equal(divide(X0,X1),divide(X5,X3)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f4789,plain,
    ( spl0_130
  <=> ! [X2,X6,X4,X3,X0,X5,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X1,X3),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X5,X0),true,less_equal(X4,divide(X0,X1)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f4807,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,X5),true,less_equal(divide(X0,X1),divide(X5,X3)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f78]) ).

fof(f4790,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X1,X3),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X5,X0),true,less_equal(X4,divide(X0,X1)),true),true),true),true)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f4789]) ).

fof(f34502,plain,
    ( spl0_548
    | ~ spl0_12
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f5815,f5758,f73,f34500]) ).

fof(f34500,plain,
    ( spl0_548
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,zero),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X4,X3,X0),true,less_equal(X5,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f5758,plain,
    ( spl0_137
  <=> ! [X5,X4,X2,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,zero),true,ifeq(quotient(X5,X2,X0),true,ifeq(quotient(X5,X4,X1),true,less_equal(X0,X3),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f5815,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,zero),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X4,X3,X0),true,less_equal(X5,X2),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_137 ),
    inference(superposition,[],[f5759,f74]) ).

fof(f5759,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,zero),true,ifeq(quotient(X5,X2,X0),true,ifeq(quotient(X5,X4,X1),true,less_equal(X0,X3),true),true),true),true),true)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f5758]) ).

fof(f34408,plain,
    ( spl0_547
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f8238,f7971,f6053,f73,f34405]) ).

fof(f8238,plain,
    ( true = ifeq(true,true,less_equal(idQa,divide(identity,idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_195 ),
    inference(forward_demodulation,[],[f8224,f74]) ).

fof(f8224,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQa,divide(identity,idQ_idQa)),true),true)
    | ~ spl0_140
    | ~ spl0_195 ),
    inference(superposition,[],[f7972,f6055]) ).

fof(f34245,plain,
    ( spl0_546
    | ~ spl0_12
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f5704,f5535,f73,f34243]) ).

fof(f34243,plain,
    ( spl0_546
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQ_idQa),true,ifeq(quotient(X4,X1,idQa),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f5535,plain,
    ( spl0_136
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQ_idQa),true,ifeq(quotient(X4,X1,idQa),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f5704,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQ_idQa),true,ifeq(quotient(X4,X1,idQa),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_136 ),
    inference(superposition,[],[f5536,f74]) ).

fof(f5536,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQ_idQa),true,ifeq(quotient(X4,X1,idQa),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true),true)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f5535]) ).

fof(f34241,plain,
    ( spl0_545
    | ~ spl0_12
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f5632,f5235,f73,f34239]) ).

fof(f34239,plain,
    ( spl0_545
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQa),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f5235,plain,
    ( spl0_135
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQa),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQ_idQa,X2),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f5632,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQa),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQ_idQa,X2),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_135 ),
    inference(superposition,[],[f5236,f74]) ).

fof(f5236,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQa),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQ_idQa,X2),true),true),true),true),true)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f5235]) ).

fof(f34237,plain,
    ( spl0_544
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f5563,f5231,f73,f34235]) ).

fof(f34235,plain,
    ( spl0_544
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,a),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f5231,plain,
    ( spl0_134
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,a),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa,X2),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f5563,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,a),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa,X2),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(superposition,[],[f5232,f74]) ).

fof(f5232,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,a),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa,X2),true),true),true),true),true)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f5231]) ).

fof(f33475,plain,
    ( spl0_543
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f8104,f7938,f6053,f73,f33472]) ).

fof(f8104,plain,
    ( true = ifeq(true,true,less_equal(divide(idQa,a),idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_140
    | ~ spl0_187 ),
    inference(forward_demodulation,[],[f8095,f74]) ).

fof(f8095,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(divide(idQa,a),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_140
    | ~ spl0_187 ),
    inference(superposition,[],[f7939,f6055]) ).

fof(f32443,plain,
    ( spl0_542
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f5125,f4801,f65,f32441]) ).

fof(f32441,plain,
    ( spl0_542
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(divide(X1,X2),X3,X4),true,ifeq(quotient(X2,X3,zero),true,ifeq(quotient(X1,X3,X0),true,less_equal(X0,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f5125,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(divide(X1,X2),X3,X4),true,ifeq(quotient(X2,X3,zero),true,ifeq(quotient(X1,X3,X0),true,less_equal(X0,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(superposition,[],[f4802,f66]) ).

fof(f32439,plain,
    ( spl0_541
    | ~ spl0_10
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f5025,f4797,f65,f32437]) ).

fof(f32437,plain,
    ( spl0_541
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,X1,X3),true,ifeq(quotient(X4,X1,zero),true,ifeq(quotient(X0,X4,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f5025,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,X1,X3),true,ifeq(quotient(X4,X1,zero),true,ifeq(quotient(X0,X4,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_132 ),
    inference(superposition,[],[f4798,f66]) ).

fof(f32435,plain,
    ( spl0_540
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f6196,f6053,f146,f73,f32433]) ).

fof(f32433,plain,
    ( spl0_540
  <=> ! [X0] : true = ifeq(less_equal(a,X0),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f6196,plain,
    ( ! [X0] : true = ifeq(less_equal(a,X0),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_140 ),
    inference(forward_demodulation,[],[f6121,f74]) ).

fof(f6121,plain,
    ( ! [X0] : true = ifeq(less_equal(a,X0),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_20
    | ~ spl0_140 ),
    inference(superposition,[],[f147,f6055]) ).

fof(f32431,plain,
    ( spl0_539
    | ~ spl0_10
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4806,f4789,f65,f32429]) ).

fof(f32429,plain,
    ( spl0_539
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,X4),true,less_equal(X0,divide(X4,X2)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f4806,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,X4),true,less_equal(X0,divide(X4,X2)),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f66]) ).

fof(f32427,plain,
    ( spl0_538
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4691,f3273,f77,f32425]) ).

fof(f32425,plain,
    ( spl0_538
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X2,X1),true,ifeq(quotient(zero,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f3273,plain,
    ( spl0_128
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4691,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X2,X1),true,ifeq(quotient(zero,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(superposition,[],[f3274,f78]) ).

fof(f3274,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f3273]) ).

fof(f32423,plain,
    ( spl0_537
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4591,f3269,f77,f32421]) ).

fof(f32421,plain,
    ( spl0_537
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,X4),true,ifeq(quotient(zero,X3,X1),true,ifeq(quotient(X2,X3,X0),true,less_equal(divide(X0,X1),X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f3269,plain,
    ( spl0_127
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X5),true,ifeq(quotient(zero,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f4591,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,X3,X4),true,ifeq(quotient(zero,X3,X1),true,ifeq(quotient(X2,X3,X0),true,less_equal(divide(X0,X1),X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f78]) ).

fof(f3270,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X5),true,ifeq(quotient(zero,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f3269]) ).

fof(f32419,plain,
    ( spl0_536
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4492,f3265,f77,f32417]) ).

fof(f32417,plain,
    ( spl0_536
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X2,X1),true,ifeq(quotient(X4,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f3265,plain,
    ( spl0_126
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f4492,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X2,X1),true,ifeq(quotient(X4,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f78]) ).

fof(f3266,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f3265]) ).

fof(f32415,plain,
    ( spl0_535
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4397,f3261,f77,f32413]) ).

fof(f32413,plain,
    ( spl0_535
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(identity,X2,X1),true,ifeq(quotient(X4,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f3261,plain,
    ( spl0_125
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f4397,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(zero,X2,X3),true,ifeq(quotient(identity,X2,X1),true,ifeq(quotient(X4,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f78]) ).

fof(f3262,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f3261]) ).

fof(f32411,plain,
    ( spl0_534
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4206,f3241,f77,f32409]) ).

fof(f32409,plain,
    ( spl0_534
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,zero,X1),true,ifeq(quotient(X0,X4,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f3241,plain,
    ( spl0_123
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f4206,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,zero,X1),true,ifeq(quotient(X0,X4,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f78]) ).

fof(f3242,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f3241]) ).

fof(f32407,plain,
    ( spl0_533
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3828,f3225,f77,f32405]) ).

fof(f32405,plain,
    ( spl0_533
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,zero,X0),true,ifeq(quotient(X4,X1,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f3225,plain,
    ( spl0_119
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3828,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,zero,X0),true,ifeq(quotient(X4,X1,X2),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f78]) ).

fof(f3226,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f3225]) ).

fof(f32403,plain,
    ( spl0_532
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3543,f3213,f77,f32401]) ).

fof(f32401,plain,
    ( spl0_532
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,zero),true,less_equal(divide(X0,X1),zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f3213,plain,
    ( spl0_116
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,zero),true,less_equal(X3,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3543,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,zero),true,less_equal(divide(X0,X1),zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f78]) ).

fof(f3214,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,zero),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f3213]) ).

fof(f32399,plain,
    ( spl0_531
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3457,f3209,f77,f32397]) ).

fof(f32397,plain,
    ( spl0_531
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(X2,zero,X1),true,ifeq(quotient(X3,zero,X0),true,ifeq(quotient(X3,X2,X4),true,less_equal(divide(X0,X1),X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f3209,plain,
    ( spl0_115
  <=> ! [X2,X4,X0,X5,X3,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,zero,X2),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,X0),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3457,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,zero,X1),true,ifeq(quotient(X3,zero,X0),true,ifeq(quotient(X3,X2,X4),true,less_equal(divide(X0,X1),X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f78]) ).

fof(f3210,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,zero,X2),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,X0),true),true),true),true)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f3209]) ).

fof(f32395,plain,
    ( spl0_530
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3363,f3183,f77,f32393]) ).

fof(f32393,plain,
    ( spl0_530
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,X3),true,less_equal(divide(X0,X1),zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f3183,plain,
    ( spl0_114
  <=> ! [X2,X4,X0,X5,X3,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3363,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,X3,X1),true,ifeq(quotient(X4,X3,X0),true,ifeq(quotient(X4,X2,X3),true,less_equal(divide(X0,X1),zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f78]) ).

fof(f3184,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f3183]) ).

fof(f32320,plain,
    ( spl0_529
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3279,f3179,f77,f32318]) ).

fof(f32318,plain,
    ( spl0_529
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(X2,identity,X1),true,ifeq(quotient(X3,identity,X0),true,ifeq(quotient(X3,X2,X4),true,less_equal(divide(X0,X1),zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f3179,plain,
    ( spl0_113
  <=> ! [X2,X4,X0,X5,X3,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,identity,X2),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3279,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X2,identity,X1),true,ifeq(quotient(X3,identity,X0),true,ifeq(quotient(X3,X2,X4),true,less_equal(divide(X0,X1),zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f78]) ).

fof(f3180,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,identity,X2),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f3179]) ).

fof(f31674,plain,
    ( spl0_528
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2236,f1189,f146,f73,f31672]) ).

fof(f31672,plain,
    ( spl0_528
  <=> ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f2236,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(X0,X1),true)
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(forward_demodulation,[],[f2144,f74]) ).

fof(f2144,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,ifeq(true,true,less_equal(X0,X1),true),true)
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(superposition,[],[f147,f1190]) ).

fof(f30882,plain,
    ( spl0_527
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f5130,f4801,f48,f30880]) ).

fof(f30880,plain,
    ( spl0_527
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,idQ_idQa),true,ifeq(quotient(X0,X2,idQa),true,less_equal(idQa_Q__idQ_idQa,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f5130,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,idQ_idQa),true,ifeq(quotient(X0,X2,idQa),true,less_equal(idQa_Q__idQ_idQa,X3),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(superposition,[],[f4802,f50]) ).

fof(f30196,plain,
    ( spl0_526
    | ~ spl0_5
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f5129,f4801,f43,f30194]) ).

fof(f30194,plain,
    ( spl0_526
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,idQa),true,ifeq(quotient(X0,X2,identity),true,less_equal(idQ_idQa,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f5129,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,idQa),true,ifeq(quotient(X0,X2,identity),true,less_equal(idQ_idQa,X3),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_133 ),
    inference(superposition,[],[f4802,f45]) ).

fof(f30192,plain,
    ( spl0_525
    | ~ spl0_4
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f5128,f4801,f38,f30190]) ).

fof(f30190,plain,
    ( spl0_525
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,a),true,ifeq(quotient(X0,X2,identity),true,less_equal(idQa,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f5128,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X1,X2,a),true,ifeq(quotient(X0,X2,identity),true,less_equal(idQa,X3),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_133 ),
    inference(superposition,[],[f4802,f40]) ).

fof(f30188,plain,
    ( spl0_524
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4811,f4789,f48,f30186]) ).

fof(f30186,plain,
    ( spl0_524
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQa_Q__idQ_idQa,divide(X3,X1)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f4811,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQa_Q__idQ_idQa,divide(X3,X1)),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f50]) ).

fof(f30184,plain,
    ( spl0_523
    | ~ spl0_5
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4810,f4789,f43,f30182]) ).

fof(f30182,plain,
    ( spl0_523
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQ_idQa,divide(X3,X1)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f4810,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQ_idQa,divide(X3,X1)),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f45]) ).

fof(f30180,plain,
    ( spl0_522
    | ~ spl0_4
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4809,f4789,f38,f30178]) ).

fof(f30178,plain,
    ( spl0_522
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQa,divide(X3,X1)),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f4809,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X3),true,less_equal(idQa,divide(X3,X1)),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f40]) ).

fof(f30176,plain,
    ( spl0_521
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3113,f2370,f77,f30174]) ).

fof(f30174,plain,
    ( spl0_521
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X2,X3),true,ifeq(quotient(idQ_idQa,X2,X1),true,ifeq(quotient(idQa,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f2370,plain,
    ( spl0_112
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X3,X4),true,ifeq(quotient(idQ_idQa,X3,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3113,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X2,X3),true,ifeq(quotient(idQ_idQa,X2,X1),true,ifeq(quotient(idQa,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f78]) ).

fof(f2371,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X3,X4),true,ifeq(quotient(idQ_idQa,X3,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f2370]) ).

fof(f30172,plain,
    ( spl0_520
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3041,f2366,f77,f30170]) ).

fof(f30170,plain,
    ( spl0_520
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X2,X3),true,ifeq(quotient(idQa,X2,X1),true,ifeq(quotient(identity,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f2366,plain,
    ( spl0_111
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,X3,X4),true,ifeq(quotient(idQa,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3041,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X2,X3),true,ifeq(quotient(idQa,X2,X1),true,ifeq(quotient(identity,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f78]) ).

fof(f2367,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,X3,X4),true,ifeq(quotient(idQa,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f2366]) ).

fof(f30168,plain,
    ( spl0_519
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2969,f2362,f77,f30166]) ).

fof(f30166,plain,
    ( spl0_519
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X2,X3),true,ifeq(quotient(a,X2,X1),true,ifeq(quotient(identity,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f2362,plain,
    ( spl0_110
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,X3,X4),true,ifeq(quotient(a,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2969,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X2,X3),true,ifeq(quotient(a,X2,X1),true,ifeq(quotient(identity,X2,X0),true,less_equal(divide(X0,X1),X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f78]) ).

fof(f2363,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,X3,X4),true,ifeq(quotient(a,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f2362]) ).

fof(f30164,plain,
    ( spl0_518
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2907,f2358,f77,f30162]) ).

fof(f30162,plain,
    ( spl0_518
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(idQa,X3,X1),true,less_equal(divide(idQa_Q__idQ_idQa,X0),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f2358,plain,
    ( spl0_109
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(idQa,X4,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2907,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(idQa,X3,X1),true,less_equal(divide(idQa_Q__idQ_idQa,X0),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f78]) ).

fof(f2359,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(idQa,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f2358]) ).

fof(f30160,plain,
    ( spl0_517
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2843,f2354,f77,f30158]) ).

fof(f30158,plain,
    ( spl0_517
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(identity,X3,X1),true,less_equal(divide(idQ_idQa,X0),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f2354,plain,
    ( spl0_108
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2843,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(identity,X3,X1),true,less_equal(divide(idQ_idQa,X0),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f78]) ).

fof(f2355,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f2354]) ).

fof(f30156,plain,
    ( spl0_516
    | ~ spl0_12
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f29755,f20490,f73,f30153]) ).

fof(f30153,plain,
    ( spl0_516
  <=> true = less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f20490,plain,
    ( spl0_407
  <=> true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f29755,plain,
    ( true = less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa))
    | ~ spl0_12
    | ~ spl0_407 ),
    inference(superposition,[],[f20492,f74]) ).

fof(f20492,plain,
    ( true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa)),true)
    | ~ spl0_407 ),
    inference(avatar_component_clause,[],[f20490]) ).

fof(f30151,plain,
    ( spl0_515
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2779,f2350,f77,f30149]) ).

fof(f30149,plain,
    ( spl0_515
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(identity,X3,X1),true,less_equal(divide(idQa,X0),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f2350,plain,
    ( spl0_107
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2779,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(identity,X3,X1),true,less_equal(divide(idQa,X0),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f78]) ).

fof(f2351,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f2350]) ).

fof(f30147,plain,
    ( spl0_514
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2714,f2135,f77,f30145]) ).

fof(f30145,plain,
    ( spl0_514
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(X3,idQa,X1),true,less_equal(divide(X0,idQa_Q__idQ_idQa),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f2135,plain,
    ( spl0_106
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,idQa,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2714,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(X3,idQa,X1),true,less_equal(divide(X0,idQa_Q__idQ_idQa),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f78]) ).

fof(f2136,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,idQa,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f2135]) ).

fof(f30143,plain,
    ( spl0_513
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2648,f2131,f77,f30141]) ).

fof(f30141,plain,
    ( spl0_513
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(X3,identity,X1),true,less_equal(divide(X0,idQ_idQa),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f2131,plain,
    ( spl0_105
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2648,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(X3,identity,X1),true,less_equal(divide(X0,idQ_idQa),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f78]) ).

fof(f2132,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f2131]) ).

fof(f30139,plain,
    ( spl0_512
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2561,f2127,f77,f30137]) ).

fof(f30137,plain,
    ( spl0_512
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(X3,identity,X1),true,less_equal(divide(X0,idQa),X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f2127,plain,
    ( spl0_104
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2561,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(X3,identity,X1),true,less_equal(divide(X0,idQa),X2),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f78]) ).

fof(f2128,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f2127]) ).

fof(f30135,plain,
    ( spl0_511
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2502,f2123,f77,f30133]) ).

fof(f30133,plain,
    ( spl0_511
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X1),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(X3,X2,idQa),true,less_equal(divide(X0,X1),idQa_Q__idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f2123,plain,
    ( spl0_103
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2502,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X1),true,ifeq(quotient(X3,idQ_idQa,X0),true,ifeq(quotient(X3,X2,idQa),true,less_equal(divide(X0,X1),idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f78]) ).

fof(f2124,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f2123]) ).

fof(f30131,plain,
    ( spl0_510
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2443,f2119,f77,f30129]) ).

fof(f30129,plain,
    ( spl0_510
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(X3,X2,identity),true,less_equal(divide(X0,X1),idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f2119,plain,
    ( spl0_102
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2443,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,ifeq(quotient(X3,X2,identity),true,less_equal(divide(X0,X1),idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f78]) ).

fof(f2120,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f2119]) ).

fof(f30127,plain,
    ( spl0_509
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2376,f2115,f77,f30125]) ).

fof(f30125,plain,
    ( spl0_509
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X2,a,X1),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(X3,X2,identity),true,less_equal(divide(X0,X1),idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f2115,plain,
    ( spl0_101
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2376,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,a,X1),true,ifeq(quotient(X3,a,X0),true,ifeq(quotient(X3,X2,identity),true,less_equal(divide(X0,X1),idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f78]) ).

fof(f2116,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f2115]) ).

fof(f27239,plain,
    ( spl0_508
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f5094,f4797,f77,f73,f27237]) ).

fof(f27237,plain,
    ( spl0_508
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(divide(X0,X2),X3,X4),true,ifeq(quotient(divide(X0,X1),X2,X5),true,ifeq(quotient(X1,X2,X3),true,less_equal(X4,X5),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f5094,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X2),X3,X4),true,ifeq(quotient(divide(X0,X1),X2,X5),true,ifeq(quotient(X1,X2,X3),true,less_equal(X4,X5),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(forward_demodulation,[],[f5046,f74]) ).

fof(f5046,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X2),X3,X4),true,ifeq(quotient(divide(X0,X1),X2,X5),true,ifeq(quotient(X1,X2,X3),true,ifeq(true,true,less_equal(X4,X5),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(superposition,[],[f4798,f78]) ).

fof(f27235,plain,
    ( spl0_507
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f4988,f4793,f77,f73,f27233]) ).

fof(f27233,plain,
    ( spl0_507
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(X2,divide(X1,X3),X4),true,ifeq(quotient(divide(X0,X1),X3,X5),true,ifeq(quotient(X0,X3,X2),true,less_equal(X4,X5),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f4988,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,divide(X1,X3),X4),true,ifeq(quotient(divide(X0,X1),X3,X5),true,ifeq(quotient(X0,X3,X2),true,less_equal(X4,X5),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f4939,f74]) ).

fof(f4939,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,divide(X1,X3),X4),true,ifeq(quotient(divide(X0,X1),X3,X5),true,ifeq(quotient(X0,X3,X2),true,ifeq(true,true,less_equal(X4,X5),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(superposition,[],[f4794,f78]) ).

fof(f27231,plain,
    ( spl0_506
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f4979,f4793,f77,f73,f27229]) ).

fof(f27229,plain,
    ( spl0_506
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(divide(X0,X1),divide(X2,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X0,X2,X4),true,less_equal(X3,X5),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f4979,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X1),divide(X2,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X0,X2,X4),true,less_equal(X3,X5),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f4931,f74]) ).

fof(f4931,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X1),divide(X2,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(true,true,ifeq(quotient(X0,X2,X4),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(superposition,[],[f4794,f78]) ).

fof(f27227,plain,
    ( spl0_505
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4889,f4789,f77,f73,f27225]) ).

fof(f27225,plain,
    ( spl0_505
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,less_equal(X4,divide(divide(X0,X1),X5)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f4889,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,less_equal(X4,divide(divide(X0,X1),X5)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(forward_demodulation,[],[f4831,f74]) ).

fof(f4831,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,ifeq(true,true,less_equal(X4,divide(divide(X0,X1),X5)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f78]) ).

fof(f27223,plain,
    ( spl0_504
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4879,f4789,f77,f73,f27221]) ).

fof(f27221,plain,
    ( spl0_504
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,X5),true,less_equal(X3,divide(X5,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f4879,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,X5),true,less_equal(X3,divide(X5,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(forward_demodulation,[],[f4823,f74]) ).

fof(f4823,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(true,true,ifeq(quotient(X0,X4,X5),true,less_equal(X3,divide(X5,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f78]) ).

fof(f27219,plain,
    ( spl0_503
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4869,f4789,f77,f73,f27217]) ).

fof(f27217,plain,
    ( spl0_503
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X5),true,less_equal(X3,divide(X5,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f4869,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X5),true,less_equal(X3,divide(X5,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(forward_demodulation,[],[f4815,f74]) ).

fof(f4815,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X5),true,less_equal(X3,divide(X5,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_130 ),
    inference(superposition,[],[f4790,f78]) ).

fof(f27215,plain,
    ( spl0_502
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4491,f3265,f65,f27213]) ).

fof(f27213,plain,
    ( spl0_502
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X1,zero),true,ifeq(quotient(X3,X1,X0),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f4491,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X1,zero),true,ifeq(quotient(X3,X1,X0),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f66]) ).

fof(f27211,plain,
    ( spl0_501
    | ~ spl0_12
    | ~ spl0_406 ),
    inference(avatar_split_clause,[],[f27135,f19784,f73,f27208]) ).

fof(f27208,plain,
    ( spl0_501
  <=> true = less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f19784,plain,
    ( spl0_406
  <=> true = ifeq(true,true,less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f27135,plain,
    ( true = less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa)
    | ~ spl0_12
    | ~ spl0_406 ),
    inference(superposition,[],[f19786,f74]) ).

fof(f19786,plain,
    ( true = ifeq(true,true,less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa),true)
    | ~ spl0_406 ),
    inference(avatar_component_clause,[],[f19784]) ).

fof(f27206,plain,
    ( spl0_500
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4396,f3261,f65,f27204]) ).

fof(f27204,plain,
    ( spl0_500
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(zero,X1,X2),true,ifeq(quotient(identity,X1,zero),true,ifeq(quotient(X3,X1,X0),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f4396,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X1,X2),true,ifeq(quotient(identity,X1,zero),true,ifeq(quotient(X3,X1,X0),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f66]) ).

fof(f27202,plain,
    ( spl0_499
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4205,f3241,f65,f27200]) ).

fof(f27200,plain,
    ( spl0_499
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,zero,zero),true,ifeq(quotient(X0,X3,X1),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f4205,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,zero,zero),true,ifeq(quotient(X0,X3,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f66]) ).

fof(f27198,plain,
    ( spl0_498
    | ~ spl0_10
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3912,f3229,f65,f27196]) ).

fof(f27196,plain,
    ( spl0_498
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X0),true,ifeq(quotient(X4,zero,X1),true,less_equal(X0,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f3229,plain,
    ( spl0_120
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,zero,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3912,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X0),true,ifeq(quotient(X4,zero,X1),true,less_equal(X0,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f66]) ).

fof(f3230,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,zero,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f3229]) ).

fof(f27194,plain,
    ( spl0_497
    | ~ spl0_10
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3713,f3221,f65,f27192]) ).

fof(f27192,plain,
    ( spl0_497
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X0),true,ifeq(quotient(X4,X2,X1),true,less_equal(X0,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f3221,plain,
    ( spl0_118
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3713,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X0),true,ifeq(quotient(X4,X2,X1),true,less_equal(X0,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f66]) ).

fof(f3222,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f3221]) ).

fof(f27190,plain,
    ( spl0_496
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3635,f3217,f65,f27188]) ).

fof(f27188,plain,
    ( spl0_496
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X3,identity,X0),true,ifeq(quotient(X3,X4,X1),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f3217,plain,
    ( spl0_117
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3635,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X3,identity,X0),true,ifeq(quotient(X3,X4,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(superposition,[],[f3218,f66]) ).

fof(f3218,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f3217]) ).

fof(f27186,plain,
    ( spl0_495
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3542,f3213,f65,f27184]) ).

fof(f27184,plain,
    ( spl0_495
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,zero),true,less_equal(X0,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f3542,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,zero),true,less_equal(X0,zero),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f66]) ).

fof(f27182,plain,
    ( spl0_494
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3456,f3209,f65,f27180]) ).

fof(f27180,plain,
    ( spl0_494
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,zero),true,ifeq(quotient(X2,zero,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,X3),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f3456,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,zero),true,ifeq(quotient(X2,zero,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f66]) ).

fof(f27178,plain,
    ( spl0_493
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3433,f3183,f77,f73,f27176]) ).

fof(f27176,plain,
    ( spl0_493
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,divide(X0,X1),X3),true,ifeq(quotient(X0,divide(X0,X1),X2),true,less_equal(X4,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f3433,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,divide(X0,X1),X3),true,ifeq(quotient(X0,divide(X0,X1),X2),true,less_equal(X4,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3387,f74]) ).

fof(f3387,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,divide(X0,X1),X3),true,ifeq(quotient(X0,divide(X0,X1),X2),true,ifeq(true,true,less_equal(X4,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f78]) ).

fof(f27174,plain,
    ( spl0_492
    | ~ spl0_10
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3362,f3183,f65,f27172]) ).

fof(f27172,plain,
    ( spl0_492
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,X2),true,less_equal(X0,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f3362,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X2,zero),true,ifeq(quotient(X3,X2,X0),true,ifeq(quotient(X3,X1,X2),true,less_equal(X0,zero),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f66]) ).

fof(f24575,plain,
    ( spl0_491
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4695,f3273,f48,f24573]) ).

fof(f24573,plain,
    ( spl0_491
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQ_idQa),true,ifeq(quotient(zero,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f4695,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQ_idQa),true,ifeq(quotient(zero,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(superposition,[],[f3274,f50]) ).

fof(f24571,plain,
    ( spl0_490
    | ~ spl0_5
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4694,f3273,f43,f24569]) ).

fof(f24569,plain,
    ( spl0_490
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQa),true,ifeq(quotient(zero,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f4694,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQa),true,ifeq(quotient(zero,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_128 ),
    inference(superposition,[],[f3274,f45]) ).

fof(f24567,plain,
    ( spl0_489
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4693,f3273,f38,f24565]) ).

fof(f24565,plain,
    ( spl0_489
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,a),true,ifeq(quotient(zero,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f4693,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,a),true,ifeq(quotient(zero,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(superposition,[],[f3274,f40]) ).

fof(f24563,plain,
    ( spl0_488
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4595,f3269,f48,f24561]) ).

fof(f24561,plain,
    ( spl0_488
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,idQ_idQa),true,ifeq(quotient(X0,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f4595,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,idQ_idQa),true,ifeq(quotient(X0,X1,idQa),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f50]) ).

fof(f24559,plain,
    ( spl0_487
    | ~ spl0_5
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4594,f3269,f43,f24557]) ).

fof(f24557,plain,
    ( spl0_487
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,idQa),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f4594,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,idQa),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQ_idQa,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f45]) ).

fof(f24541,plain,
    ( spl0_486
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4593,f3269,f38,f24539]) ).

fof(f24539,plain,
    ( spl0_486
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,a),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f4593,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,X1,a),true,ifeq(quotient(X0,X1,identity),true,less_equal(idQa,X2),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f40]) ).

fof(f24537,plain,
    ( spl0_485
    | ~ spl0_6
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4496,f3265,f48,f24535]) ).

fof(f24535,plain,
    ( spl0_485
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQ_idQa),true,ifeq(quotient(X2,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f4496,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQ_idQa),true,ifeq(quotient(X2,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f50]) ).

fof(f24533,plain,
    ( spl0_484
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4495,f3265,f43,f24531]) ).

fof(f24531,plain,
    ( spl0_484
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQa),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f4495,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,idQa),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f45]) ).

fof(f24529,plain,
    ( spl0_483
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4494,f3265,f38,f24527]) ).

fof(f24527,plain,
    ( spl0_483
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,a),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f4494,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,X0,a),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f40]) ).

fof(f24525,plain,
    ( spl0_482
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4401,f3261,f48,f24523]) ).

fof(f24523,plain,
    ( spl0_482
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,idQ_idQa),true,ifeq(quotient(X2,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f4401,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,idQ_idQa),true,ifeq(quotient(X2,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f50]) ).

fof(f24521,plain,
    ( spl0_481
    | ~ spl0_5
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4400,f3261,f43,f24519]) ).

fof(f24519,plain,
    ( spl0_481
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,idQa),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f4400,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,idQa),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f45]) ).

fof(f24517,plain,
    ( spl0_480
    | ~ spl0_4
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4399,f3261,f38,f24515]) ).

fof(f24515,plain,
    ( spl0_480
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,a),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f4399,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(zero,X0,X1),true,ifeq(quotient(identity,X0,a),true,ifeq(quotient(X2,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f40]) ).

fof(f24513,plain,
    ( spl0_479
    | ~ spl0_6
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4210,f3241,f48,f24511]) ).

fof(f24511,plain,
    ( spl0_479
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQ_idQa),true,ifeq(quotient(idQa,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f4210,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQ_idQa),true,ifeq(quotient(idQa,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f50]) ).

fof(f24509,plain,
    ( spl0_478
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4209,f3241,f43,f24507]) ).

fof(f24507,plain,
    ( spl0_478
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQa),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f4209,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQa),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f45]) ).

fof(f24505,plain,
    ( spl0_477
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4208,f3241,f38,f24503]) ).

fof(f24503,plain,
    ( spl0_477
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,a),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f4208,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,a),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f40]) ).

fof(f24485,plain,
    ( spl0_476
    | ~ spl0_6
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3832,f3225,f48,f24483]) ).

fof(f24483,plain,
    ( spl0_476
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQa),true,ifeq(quotient(X2,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f3832,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,idQa),true,ifeq(quotient(X2,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f50]) ).

fof(f24481,plain,
    ( spl0_475
    | ~ spl0_5
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3831,f3225,f43,f24479]) ).

fof(f24479,plain,
    ( spl0_475
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,identity),true,ifeq(quotient(X2,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f3831,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,identity),true,ifeq(quotient(X2,idQa,X0),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f45]) ).

fof(f24477,plain,
    ( spl0_474
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3830,f3225,f38,f24475]) ).

fof(f24475,plain,
    ( spl0_474
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,identity),true,ifeq(quotient(X2,a,X0),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f3830,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,zero,identity),true,ifeq(quotient(X2,a,X0),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f40]) ).

fof(f24473,plain,
    ( spl0_473
    | ~ spl0_6
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3547,f3213,f48,f24471]) ).

fof(f24471,plain,
    ( spl0_473
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f3547,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f50]) ).

fof(f24469,plain,
    ( spl0_472
    | ~ spl0_5
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3546,f3213,f43,f24467]) ).

fof(f24467,plain,
    ( spl0_472
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f3546,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQ_idQa,zero),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f45]) ).

fof(f24465,plain,
    ( spl0_471
    | ~ spl0_4
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3545,f3213,f38,f24463]) ).

fof(f24463,plain,
    ( spl0_471
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f3545,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,zero),true,less_equal(idQa,zero),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f40]) ).

fof(f24461,plain,
    ( spl0_470
    | ~ spl0_6
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3461,f3209,f48,f24459]) ).

fof(f24459,plain,
    ( spl0_470
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQ_idQa),true,ifeq(quotient(X1,zero,idQa),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f3461,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQ_idQa),true,ifeq(quotient(X1,zero,idQa),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f50]) ).

fof(f24457,plain,
    ( spl0_469
    | ~ spl0_5
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3460,f3209,f43,f24455]) ).

fof(f24455,plain,
    ( spl0_469
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(X1,zero,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQ_idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f3460,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,idQa),true,ifeq(quotient(X1,zero,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQ_idQa,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f45]) ).

fof(f24453,plain,
    ( spl0_468
    | ~ spl0_4
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3459,f3209,f38,f24451]) ).

fof(f24451,plain,
    ( spl0_468
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,a),true,ifeq(quotient(X1,zero,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f3459,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,a),true,ifeq(quotient(X1,zero,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa,X2),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f40]) ).

fof(f24449,plain,
    ( spl0_467
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3367,f3183,f48,f24447]) ).

fof(f24447,plain,
    ( spl0_467
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f3367,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQ_idQa),true,ifeq(quotient(X2,X1,idQa),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f50]) ).

fof(f24431,plain,
    ( spl0_466
    | ~ spl0_5
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3366,f3183,f43,f24429]) ).

fof(f24429,plain,
    ( spl0_466
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f3366,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,idQa),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQ_idQa,zero),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f45]) ).

fof(f24427,plain,
    ( spl0_465
    | ~ spl0_4
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3365,f3183,f38,f24425]) ).

fof(f24425,plain,
    ( spl0_465
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f3365,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,a),true,ifeq(quotient(X2,X1,identity),true,ifeq(quotient(X2,X0,X1),true,less_equal(idQa,zero),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f40]) ).

fof(f24423,plain,
    ( spl0_464
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3283,f3179,f48,f24421]) ).

fof(f24421,plain,
    ( spl0_464
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQ_idQa),true,ifeq(quotient(X1,identity,idQa),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f3283,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQ_idQa),true,ifeq(quotient(X1,identity,idQa),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa_Q__idQ_idQa,zero),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f50]) ).

fof(f24419,plain,
    ( spl0_463
    | ~ spl0_5
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3282,f3179,f43,f24417]) ).

fof(f24417,plain,
    ( spl0_463
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQa),true,ifeq(quotient(X1,identity,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQ_idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f3282,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,idQa),true,ifeq(quotient(X1,identity,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQ_idQa,zero),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f45]) ).

fof(f24415,plain,
    ( spl0_462
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3281,f3179,f38,f24413]) ).

fof(f24413,plain,
    ( spl0_462
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,a),true,ifeq(quotient(X1,identity,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa,zero),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f3281,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,identity,a),true,ifeq(quotient(X1,identity,identity),true,ifeq(quotient(X1,X0,X2),true,less_equal(idQa,zero),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f40]) ).

fof(f24411,plain,
    ( spl0_461
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3117,f2370,f48,f24409]) ).

fof(f24409,plain,
    ( spl0_461
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,idQ_idQa),true,ifeq(quotient(idQa,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f3117,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,idQ_idQa),true,ifeq(quotient(idQa,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f50]) ).

fof(f24407,plain,
    ( spl0_460
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3116,f2370,f43,f24405]) ).

fof(f24405,plain,
    ( spl0_460
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,idQa),true,ifeq(quotient(idQa,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f3116,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,idQa),true,ifeq(quotient(idQa,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f45]) ).

fof(f24403,plain,
    ( spl0_459
    | ~ spl0_4
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3115,f2370,f38,f24401]) ).

fof(f24401,plain,
    ( spl0_459
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,a),true,ifeq(quotient(idQa,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f3115,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,X0,a),true,ifeq(quotient(idQa,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f40]) ).

fof(f24399,plain,
    ( spl0_458
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3112,f2370,f65,f24397]) ).

fof(f24397,plain,
    ( spl0_458
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(idQ_idQa,X1,zero),true,ifeq(quotient(idQa,X1,X0),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f3112,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(idQ_idQa,X1,zero),true,ifeq(quotient(idQa,X1,X0),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f66]) ).

fof(f24395,plain,
    ( spl0_457
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3045,f2366,f48,f24393]) ).

fof(f24393,plain,
    ( spl0_457
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,idQ_idQa),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f3045,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,idQ_idQa),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f50]) ).

fof(f24377,plain,
    ( spl0_456
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3044,f2366,f43,f24375]) ).

fof(f24375,plain,
    ( spl0_456
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,idQa),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f3044,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,idQa),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f45]) ).

fof(f24373,plain,
    ( spl0_455
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3043,f2366,f38,f24371]) ).

fof(f24371,plain,
    ( spl0_455
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,a),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f3043,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,X0,a),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f40]) ).

fof(f24369,plain,
    ( spl0_454
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3040,f2366,f65,f24367]) ).

fof(f24367,plain,
    ( spl0_454
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(idQa,X1,zero),true,ifeq(quotient(identity,X1,X0),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f3040,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(idQa,X1,zero),true,ifeq(quotient(identity,X1,X0),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f66]) ).

fof(f24365,plain,
    ( spl0_453
    | ~ spl0_6
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2973,f2362,f48,f24363]) ).

fof(f24363,plain,
    ( spl0_453
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,idQ_idQa),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f2973,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,idQ_idQa),true,ifeq(quotient(identity,X0,idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f50]) ).

fof(f24361,plain,
    ( spl0_452
    | ~ spl0_5
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2972,f2362,f43,f24359]) ).

fof(f24359,plain,
    ( spl0_452
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,idQa),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f2972,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,idQa),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f45]) ).

fof(f24357,plain,
    ( spl0_451
    | ~ spl0_4
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2971,f2362,f38,f24355]) ).

fof(f24355,plain,
    ( spl0_451
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,a),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f2971,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(a,X0,a),true,ifeq(quotient(identity,X0,identity),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f40]) ).

fof(f24353,plain,
    ( spl0_450
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2968,f2362,f65,f24351]) ).

fof(f24351,plain,
    ( spl0_450
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(a,X1,zero),true,ifeq(quotient(identity,X1,X0),true,less_equal(X0,X2),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f2968,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(a,X1,zero),true,ifeq(quotient(identity,X1,X0),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f66]) ).

fof(f24349,plain,
    ( spl0_449
    | ~ spl0_10
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2906,f2358,f65,f24347]) ).

fof(f24347,plain,
    ( spl0_449
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,zero),true,ifeq(quotient(idQa,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f2906,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,zero),true,ifeq(quotient(idQa,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f66]) ).

fof(f24345,plain,
    ( spl0_448
    | ~ spl0_10
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2842,f2354,f65,f24343]) ).

fof(f24343,plain,
    ( spl0_448
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,idQa,zero),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f2842,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,idQa,zero),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f66]) ).

fof(f24341,plain,
    ( spl0_447
    | ~ spl0_10
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2778,f2350,f65,f24339]) ).

fof(f24339,plain,
    ( spl0_447
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,zero),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f2778,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,zero),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa,X1),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f66]) ).

fof(f24323,plain,
    ( spl0_446
    | ~ spl0_6
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2775,f2350,f48,f24321]) ).

fof(f24321,plain,
    ( spl0_446
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,idQ_idQa),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f2775,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,idQ_idQa),true,ifeq(quotient(identity,X2,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f50]) ).

fof(f24319,plain,
    ( spl0_445
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2650,f2131,f48,f24317]) ).

fof(f24317,plain,
    ( spl0_445
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,idQa,idQa),true,ifeq(quotient(X2,identity,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f2650,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,idQa,idQa),true,ifeq(quotient(X2,identity,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f50]) ).

fof(f24315,plain,
    ( spl0_444
    | ~ spl0_5
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2563,f2127,f43,f24313]) ).

fof(f24313,plain,
    ( spl0_444
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,identity),true,ifeq(quotient(X2,identity,X0),true,less_equal(idQ_idQa,X1),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f2563,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(quotient(X2,a,identity),true,ifeq(quotient(X2,identity,X0),true,less_equal(idQ_idQa,X1),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f45]) ).

fof(f24311,plain,
    ( spl0_443
    | ~ spl0_5
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2505,f2123,f43,f24309]) ).

fof(f24309,plain,
    ( spl0_443
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,idQa),true,ifeq(quotient(X1,idQ_idQa,identity),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f2505,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,idQa),true,ifeq(quotient(X1,idQ_idQa,identity),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQ_idQa,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f45]) ).

fof(f24307,plain,
    ( spl0_442
    | ~ spl0_4
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2504,f2123,f38,f24305]) ).

fof(f24305,plain,
    ( spl0_442
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,a),true,ifeq(quotient(X1,idQ_idQa,identity),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f2504,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,a),true,ifeq(quotient(X1,idQ_idQa,identity),true,ifeq(quotient(X1,X0,idQa),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f40]) ).

fof(f24303,plain,
    ( spl0_441
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2501,f2123,f65,f24301]) ).

fof(f24301,plain,
    ( spl0_441
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,zero),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,X1,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f2501,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQ_idQa,zero),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,X1,idQa),true,less_equal(X0,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f66]) ).

fof(f24299,plain,
    ( spl0_440
    | ~ spl0_6
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2447,f2119,f48,f24297]) ).

fof(f24297,plain,
    ( spl0_440
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQ_idQa),true,ifeq(quotient(X1,idQa,idQa),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa_Q__idQ_idQa,idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f2447,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,idQ_idQa),true,ifeq(quotient(X1,idQa,idQa),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa_Q__idQ_idQa,idQ_idQa),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f50]) ).

fof(f24295,plain,
    ( spl0_439
    | ~ spl0_4
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2445,f2119,f38,f24293]) ).

fof(f24293,plain,
    ( spl0_439
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,a),true,ifeq(quotient(X1,idQa,identity),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa,idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f2445,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,a),true,ifeq(quotient(X1,idQa,identity),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQa,idQ_idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f40]) ).

fof(f24291,plain,
    ( spl0_438
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2442,f2119,f65,f24289]) ).

fof(f24289,plain,
    ( spl0_438
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,zero),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,X1,identity),true,less_equal(X0,idQ_idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f2442,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,idQa,zero),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,X1,identity),true,less_equal(X0,idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f66]) ).

fof(f24287,plain,
    ( spl0_437
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2379,f2115,f43,f24285]) ).

fof(f24285,plain,
    ( spl0_437
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,idQa),true,ifeq(quotient(X1,a,identity),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQ_idQa,idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f2379,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,idQa),true,ifeq(quotient(X1,a,identity),true,ifeq(quotient(X1,X0,identity),true,less_equal(idQ_idQa,idQa),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f45]) ).

fof(f24269,plain,
    ( spl0_436
    | ~ spl0_10
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2375,f2115,f65,f24267]) ).

fof(f24267,plain,
    ( spl0_436
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,zero),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,X1,identity),true,less_equal(X0,idQa),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f2375,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,a,zero),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,X1,identity),true,less_equal(X0,idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f66]) ).

fof(f21822,plain,
    ( spl0_435
    | ~ spl0_12
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f21163,f15035,f73,f21819]) ).

fof(f21819,plain,
    ( spl0_435
  <=> true = less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f15035,plain,
    ( spl0_328
  <=> true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f21163,plain,
    ( true = less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa))
    | ~ spl0_12
    | ~ spl0_328 ),
    inference(superposition,[],[f15037,f74]) ).

fof(f15037,plain,
    ( true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)),true)
    | ~ spl0_328 ),
    inference(avatar_component_clause,[],[f15035]) ).

fof(f21176,plain,
    ( spl0_434
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4750,f3273,f77,f73,f21174]) ).

fof(f21174,plain,
    ( spl0_434
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f4750,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(forward_demodulation,[],[f4704,f74]) ).

fof(f4704,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(true,true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(superposition,[],[f3274,f78]) ).

fof(f21172,plain,
    ( spl0_433
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4661,f3269,f77,f73,f21170]) ).

fof(f21170,plain,
    ( spl0_433
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X4),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f4661,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X4),true,ifeq(quotient(zero,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(forward_demodulation,[],[f4612,f74]) ).

fof(f4612,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X0,X1,X4),true,ifeq(quotient(zero,X1,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f78]) ).

fof(f21168,plain,
    ( spl0_432
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f4647,f3269,f77,f73,f21166]) ).

fof(f21166,plain,
    ( spl0_432
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(zero,X1,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X4,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f4647,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(zero,X1,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X4,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(forward_demodulation,[],[f4599,f74]) ).

fof(f4599,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(true,true,ifeq(quotient(zero,X1,X3),true,ifeq(quotient(X0,X1,X2),true,less_equal(X4,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_127 ),
    inference(superposition,[],[f3270,f78]) ).

fof(f21162,plain,
    ( spl0_431
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4560,f3265,f77,f73,f21160]) ).

fof(f21160,plain,
    ( spl0_431
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f4560,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f4513,f74]) ).

fof(f4513,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(X0,X1,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f78]) ).

fof(f21158,plain,
    ( spl0_430
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4552,f3265,f77,f73,f21156]) ).

fof(f21156,plain,
    ( spl0_430
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f4552,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f4505,f74]) ).

fof(f4505,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(true,true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(superposition,[],[f3266,f78]) ).

fof(f21154,plain,
    ( spl0_429
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4461,f3261,f77,f73,f21152]) ).

fof(f21152,plain,
    ( spl0_429
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(identity,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f4461,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(identity,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f4416,f74]) ).

fof(f4416,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(zero,X1,X4),true,ifeq(quotient(identity,X1,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f78]) ).

fof(f21150,plain,
    ( spl0_428
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f4457,f3261,f77,f73,f21148]) ).

fof(f21148,plain,
    ( spl0_428
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(quotient(X4,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f4457,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(quotient(X4,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f4412,f74]) ).

fof(f4412,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,divide(identity,X0),X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(true,true,ifeq(quotient(X4,X0,X1),true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(superposition,[],[f3262,f78]) ).

fof(f21146,plain,
    ( spl0_427
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f4360,f3245,f77,f73,f21144]) ).

fof(f21144,plain,
    ( spl0_427
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(zero,X0,X3),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f3245,plain,
    ( spl0_124
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(zero,X5,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f4360,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(zero,X0,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f4303,f74]) ).

fof(f4303,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(true,true,ifeq(quotient(zero,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(superposition,[],[f3246,f78]) ).

fof(f3246,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(zero,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f3245]) ).

fof(f21142,plain,
    ( spl0_426
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f4350,f3245,f77,f73,f21140]) ).

fof(f21140,plain,
    ( spl0_426
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(zero,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f4350,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(zero,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f4295,f74]) ).

fof(f4295,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(zero,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_124 ),
    inference(superposition,[],[f3246,f78]) ).

fof(f21138,plain,
    ( spl0_425
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4262,f3241,f77,f73,f21136]) ).

fof(f21136,plain,
    ( spl0_425
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X1,zero,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f4262,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X1,zero,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(forward_demodulation,[],[f4222,f74]) ).

fof(f4222,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X2,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X1,zero,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f78]) ).

fof(f21134,plain,
    ( spl0_424
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4175,f3237,f77,f73,f21132]) ).

fof(f21132,plain,
    ( spl0_424
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),X0,X4),true,ifeq(quotient(X1,X0,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f3237,plain,
    ( spl0_122
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f4175,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),X0,X4),true,ifeq(quotient(X1,X0,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(forward_demodulation,[],[f4117,f74]) ).

fof(f4117,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),X0,X4),true,ifeq(quotient(X1,X0,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(superposition,[],[f3238,f78]) ).

fof(f3238,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f3237]) ).

fof(f21130,plain,
    ( spl0_423
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4167,f3237,f77,f73,f21128]) ).

fof(f21128,plain,
    ( spl0_423
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f4167,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(forward_demodulation,[],[f4109,f74]) ).

fof(f4109,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,divide(X0,X1),X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(true,true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(superposition,[],[f3238,f78]) ).

fof(f21126,plain,
    ( spl0_422
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4159,f3237,f77,f73,f21124]) ).

fof(f21124,plain,
    ( spl0_422
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X1,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f4159,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X1,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(forward_demodulation,[],[f4101,f74]) ).

fof(f4101,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X1,X4,X0),true,less_equal(X3,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(superposition,[],[f3238,f78]) ).

fof(f21083,plain,
    ( spl0_421
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f4065,f3233,f77,f73,f21081]) ).

fof(f21081,plain,
    ( spl0_421
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X1,identity,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f3233,plain,
    ( spl0_121
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f4065,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X1,identity,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(forward_demodulation,[],[f4013,f74]) ).

fof(f4013,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X2,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X1,identity,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(superposition,[],[f3234,f78]) ).

fof(f3234,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f3233]) ).

fof(f21079,plain,
    ( spl0_420
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3964,f3229,f77,f73,f21077]) ).

fof(f21077,plain,
    ( spl0_420
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X0,zero,X3),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f3964,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X0,zero,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(forward_demodulation,[],[f3926,f74]) ).

fof(f3926,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(true,true,ifeq(quotient(X0,zero,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f78]) ).

fof(f21075,plain,
    ( spl0_419
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3956,f3229,f77,f73,f21073]) ).

fof(f21073,plain,
    ( spl0_419
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,zero,X0),true,less_equal(X3,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f3956,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,zero,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(forward_demodulation,[],[f3918,f74]) ).

fof(f3918,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,zero,X0),true,less_equal(X3,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f78]) ).

fof(f21071,plain,
    ( spl0_418
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3885,f3225,f77,f73,f21069]) ).

fof(f21069,plain,
    ( spl0_418
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X0,zero,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f3885,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X0,zero,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f3844,f74]) ).

fof(f3844,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X1,X3),true,ifeq(quotient(divide(X0,X1),zero,X4),true,ifeq(quotient(X0,zero,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f78]) ).

fof(f21067,plain,
    ( spl0_417
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3777,f3221,f77,f73,f21065]) ).

fof(f21065,plain,
    ( spl0_417
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f3777,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),X1,X4),true,ifeq(quotient(X0,X1,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3735,f74]) ).

fof(f3735,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),X1,X4),true,ifeq(quotient(X0,X1,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f78]) ).

fof(f21063,plain,
    ( spl0_416
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3769,f3221,f77,f73,f21061]) ).

fof(f21061,plain,
    ( spl0_416
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f3769,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3727,f74]) ).

fof(f3727,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),zero,X2),true,ifeq(quotient(X3,X1,X4),true,ifeq(true,true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f78]) ).

fof(f21059,plain,
    ( spl0_415
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3761,f3221,f77,f73,f21057]) ).

fof(f21057,plain,
    ( spl0_415
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X1,X0),true,less_equal(X3,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f3761,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X1,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3719,f74]) ).

fof(f3719,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X1,X0),true,less_equal(X3,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f78]) ).

fof(f21055,plain,
    ( spl0_414
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3684,f3217,f77,f73,f21053]) ).

fof(f21053,plain,
    ( spl0_414
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X0,identity,X2),true,less_equal(X3,X4),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f3684,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X0,identity,X2),true,less_equal(X3,X4),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(forward_demodulation,[],[f3649,f74]) ).

fof(f3649,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,zero,X3),true,ifeq(quotient(divide(X0,X1),identity,X4),true,ifeq(quotient(X0,identity,X2),true,ifeq(true,true,less_equal(X3,X4),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(superposition,[],[f3218,f78]) ).

fof(f21051,plain,
    ( spl0_413
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3606,f3213,f77,f73,f21049]) ).

fof(f21049,plain,
    ( spl0_413
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,zero),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f3606,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,zero),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3559,f74]) ).

fof(f3559,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(true,true,ifeq(quotient(X0,X4,zero),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f78]) ).

fof(f21047,plain,
    ( spl0_412
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3594,f3213,f77,f73,f21045]) ).

fof(f21045,plain,
    ( spl0_412
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,zero),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f3594,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,zero),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3551,f74]) ).

fof(f3551,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,zero),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f78]) ).

fof(f21042,plain,
    ( spl0_411
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f8365,f8315,f466,f73,f21039]) ).

fof(f21039,plain,
    ( spl0_411
  <=> true = ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,idQa),zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f8365,plain,
    ( true = ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,idQa),zero),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_200 ),
    inference(forward_demodulation,[],[f8344,f74]) ).

fof(f8344,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(divide(idQa_Q__idQ_idQa,idQa),zero),true),true)
    | ~ spl0_29
    | ~ spl0_200 ),
    inference(superposition,[],[f8316,f468]) ).

fof(f21037,plain,
    ( spl0_410
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3514,f3209,f77,f73,f21035]) ).

fof(f21035,plain,
    ( spl0_410
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,zero,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X4,divide(X0,X1)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f3514,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,zero,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X4,divide(X0,X1)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(forward_demodulation,[],[f3473,f74]) ).

fof(f3473,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,zero,X3),true,ifeq(quotient(X0,zero,X2),true,ifeq(true,true,less_equal(X4,divide(X0,X1)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f78]) ).

fof(f21033,plain,
    ( spl0_409
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3425,f3183,f77,f73,f21031]) ).

fof(f21031,plain,
    ( spl0_409
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f3425,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3379,f74]) ).

fof(f3379,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(true,true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f78]) ).

fof(f21029,plain,
    ( spl0_408
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3417,f3183,f77,f73,f21027]) ).

fof(f21027,plain,
    ( spl0_408
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f3417,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3371,f74]) ).

fof(f3371,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(true,true,ifeq(quotient(X4,X1,X2),true,ifeq(quotient(X4,X0,X1),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f78]) ).

fof(f20493,plain,
    ( spl0_407
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f8262,f7975,f466,f73,f20490]) ).

fof(f8262,plain,
    ( true = ifeq(true,true,less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa)),true)
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_196 ),
    inference(forward_demodulation,[],[f8247,f74]) ).

fof(f8247,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQ_idQa,divide(identity,idQa_Q__idQ_idQa)),true),true)
    | ~ spl0_29
    | ~ spl0_196 ),
    inference(superposition,[],[f7976,f468]) ).

fof(f19787,plain,
    ( spl0_406
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f8045,f7926,f1189,f73,f19784]) ).

fof(f8045,plain,
    ( true = ifeq(true,true,less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_76
    | ~ spl0_184 ),
    inference(forward_demodulation,[],[f8033,f74]) ).

fof(f8033,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa),true),true)
    | ~ spl0_76
    | ~ spl0_184 ),
    inference(superposition,[],[f7927,f1190]) ).

fof(f19238,plain,
    ( spl0_405
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f7852,f7604,f73,f19235]) ).

fof(f19235,plain,
    ( spl0_405
  <=> true = ifeq(less_equal(identity,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f7604,plain,
    ( spl0_176
  <=> true = ifeq(true,true,ifeq(less_equal(identity,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f7852,plain,
    ( true = ifeq(less_equal(identity,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true)
    | ~ spl0_12
    | ~ spl0_176 ),
    inference(superposition,[],[f7606,f74]) ).

fof(f7606,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f7604]) ).

fof(f19031,plain,
    ( spl0_404
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3161,f2370,f77,f73,f19029]) ).

fof(f19029,plain,
    ( spl0_404
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(idQa,X0),X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(quotient(idQ_idQa,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f3161,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(idQa,X0),X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(quotient(idQ_idQa,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3130,f74]) ).

fof(f3130,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(idQa,X0),X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f78]) ).

fof(f19027,plain,
    ( spl0_403
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3156,f2370,f77,f73,f19025]) ).

fof(f19025,plain,
    ( spl0_403
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(idQ_idQa,X0),X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f3156,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(idQ_idQa,X0),X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3125,f74]) ).

fof(f3125,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(idQ_idQa,X0),X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X0,X3),true,ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f78]) ).

fof(f19023,plain,
    ( spl0_402
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3152,f2370,f77,f73,f19021]) ).

fof(f19021,plain,
    ( spl0_402
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(idQ_idQa,X0,X2),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X3,divide(idQa_Q__idQ_idQa,X0)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f3152,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(idQ_idQa,X0,X2),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X3,divide(idQa_Q__idQ_idQa,X0)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3121,f74]) ).

fof(f3121,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(idQ_idQa,X0,X2),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X3,divide(idQa_Q__idQ_idQa,X0)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f78]) ).

fof(f19019,plain,
    ( spl0_401
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3093,f2366,f77,f73,f19017]) ).

fof(f19017,plain,
    ( spl0_401
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f3093,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(quotient(idQa,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3060,f74]) ).

fof(f3060,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f78]) ).

fof(f19015,plain,
    ( spl0_400
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3087,f2366,f77,f73,f19013]) ).

fof(f19013,plain,
    ( spl0_400
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(idQa,X0),X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f3087,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(idQa,X0),X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3054,f74]) ).

fof(f3054,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(idQa,X0),X2),true,ifeq(quotient(idQ_idQa,X0,X3),true,ifeq(true,true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f78]) ).

fof(f19011,plain,
    ( spl0_399
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3082,f2366,f77,f73,f19009]) ).

fof(f19009,plain,
    ( spl0_399
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(idQa,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQ_idQa,X0)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f3082,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(idQa,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQ_idQa,X0)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3049,f74]) ).

fof(f3049,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(idQa,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQ_idQa,X0)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f78]) ).

fof(f19007,plain,
    ( spl0_398
    | ~ spl0_12
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f7850,f7599,f73,f19004]) ).

fof(f19004,plain,
    ( spl0_398
  <=> true = ifeq(less_equal(idQa,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f7599,plain,
    ( spl0_175
  <=> true = ifeq(true,true,ifeq(less_equal(idQa,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f7850,plain,
    ( true = ifeq(less_equal(idQa,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true)
    | ~ spl0_12
    | ~ spl0_175 ),
    inference(superposition,[],[f7601,f74]) ).

fof(f7601,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f7599]) ).

fof(f19002,plain,
    ( spl0_397
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3021,f2362,f77,f73,f19000]) ).

fof(f19000,plain,
    ( spl0_397
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(quotient(a,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f3021,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(quotient(a,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2988,f74]) ).

fof(f2988,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(identity,X0),X1,X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(quotient(a,X0,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f78]) ).

fof(f18998,plain,
    ( spl0_396
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3015,f2362,f77,f73,f18996]) ).

fof(f18996,plain,
    ( spl0_396
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,divide(a,X0),X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f3015,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(a,X0),X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2982,f74]) ).

fof(f2982,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(a,X0),X2),true,ifeq(quotient(idQa,X0,X3),true,ifeq(true,true,ifeq(quotient(identity,X0,X1),true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f78]) ).

fof(f18994,plain,
    ( spl0_395
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3011,f2362,f77,f73,f18992]) ).

fof(f18992,plain,
    ( spl0_395
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(a,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQa,X0)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f3011,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(a,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQa,X0)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2978,f74]) ).

fof(f2978,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(a,X0,X2),true,ifeq(quotient(identity,X0,X1),true,less_equal(X3,divide(idQa,X0)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f78]) ).

fof(f18990,plain,
    ( spl0_394
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2948,f2358,f77,f73,f18988]) ).

fof(f18988,plain,
    ( spl0_394
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f2948,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2920,f74]) ).

fof(f2920,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(divide(idQa,X0),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f78]) ).

fof(f18986,plain,
    ( spl0_393
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2941,f2358,f77,f73,f18984]) ).

fof(f18984,plain,
    ( spl0_393
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(idQa,X0,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f2941,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(idQa,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2913,f74]) ).

fof(f2913,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(true,true,ifeq(quotient(idQa,X0,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f78]) ).

fof(f18982,plain,
    ( spl0_392
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2937,f2358,f77,f73,f18980]) ).

fof(f18980,plain,
    ( spl0_392
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f2937,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2909,f74]) ).

fof(f2909,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f78]) ).

fof(f18978,plain,
    ( spl0_391
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2886,f2354,f77,f73,f18976]) ).

fof(f18976,plain,
    ( spl0_391
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f2886,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2857,f74]) ).

fof(f2857,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f78]) ).

fof(f18974,plain,
    ( spl0_390
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2878,f2354,f77,f73,f18972]) ).

fof(f18972,plain,
    ( spl0_390
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f2878,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2849,f74]) ).

fof(f2849,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,divide(X0,idQa),X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(true,true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f78]) ).

fof(f18970,plain,
    ( spl0_389
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2874,f2354,f77,f73,f18968]) ).

fof(f18968,plain,
    ( spl0_389
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f2874,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2845,f74]) ).

fof(f2845,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQ_idQa,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f78]) ).

fof(f18966,plain,
    ( spl0_388
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2822,f2350,f77,f73,f18964]) ).

fof(f18964,plain,
    ( spl0_388
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),a,X3),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f2822,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),a,X3),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2793,f74]) ).

fof(f2793,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(divide(identity,X0),a,X3),true,ifeq(quotient(X0,a,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f78]) ).

fof(f18962,plain,
    ( spl0_387
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f7848,f7594,f73,f18959]) ).

fof(f18959,plain,
    ( spl0_387
  <=> true = ifeq(less_equal(identity,idQa),true,less_equal(idQ_idQa,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f7594,plain,
    ( spl0_174
  <=> true = ifeq(true,true,ifeq(less_equal(identity,idQa),true,less_equal(idQ_idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f7848,plain,
    ( true = ifeq(less_equal(identity,idQa),true,less_equal(idQ_idQa,zero),true)
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(superposition,[],[f7596,f74]) ).

fof(f7596,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,idQa),true,less_equal(idQ_idQa,zero),true),true)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f7594]) ).

fof(f18957,plain,
    ( spl0_386
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2814,f2350,f77,f73,f18955]) ).

fof(f2814,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2785,f74]) ).

fof(f2785,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,divide(X0,a),X1),true,ifeq(quotient(X2,a,X3),true,ifeq(true,true,ifeq(quotient(identity,X0,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f78]) ).

fof(f18953,plain,
    ( spl0_385
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2810,f2350,f77,f73,f18951]) ).

fof(f2810,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,a)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2781,f74]) ).

fof(f2781,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(idQa,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,divide(X0,a)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f78]) ).

fof(f18949,plain,
    ( spl0_384
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2753,f2135,f77,f73,f18947]) ).

fof(f18947,plain,
    ( spl0_384
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f2753,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2725,f74]) ).

fof(f2725,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(divide(X0,idQa),idQ_idQa,X3),true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f78]) ).

fof(f18945,plain,
    ( spl0_383
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2749,f2135,f77,f73,f18943]) ).

fof(f2749,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2721,f74]) ).

fof(f2721,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(true,true,ifeq(quotient(X0,idQa,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f78]) ).

fof(f18941,plain,
    ( spl0_382
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2745,f2135,f77,f73,f18939]) ).

fof(f2745,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2717,f74]) ).

fof(f2717,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa_Q__idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,idQa,X0),true,less_equal(X2,divide(X0,idQ_idQa)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f78]) ).

fof(f18937,plain,
    ( spl0_381
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2686,f2131,f77,f73,f18935]) ).

fof(f18935,plain,
    ( spl0_381
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f2686,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2656,f74]) ).

fof(f2656,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQa),idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(true,true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f78]) ).

fof(f18933,plain,
    ( spl0_380
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2680,f2131,f77,f73,f18931]) ).

fof(f2680,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2652,f74]) ).

fof(f2652,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,idQa)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f78]) ).

fof(f18929,plain,
    ( spl0_379
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2599,f2127,f77,f73,f18927]) ).

fof(f18927,plain,
    ( spl0_379
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f2599,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2569,f74]) ).

fof(f2569,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,a),idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(true,true,ifeq(quotient(X0,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f78]) ).

fof(f18925,plain,
    ( spl0_378
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2593,f2127,f77,f73,f18923]) ).

fof(f2593,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,a)),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2565,f74]) ).

fof(f2565,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,identity,X0),true,less_equal(X2,divide(X0,a)),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f78]) ).

fof(f18921,plain,
    ( spl0_377
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2544,f2123,f77,f73,f18919]) ).

fof(f18919,plain,
    ( spl0_377
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X0,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f2544,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X0,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2512,f74]) ).

fof(f2512,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQ_idQa),X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f78]) ).

fof(f18917,plain,
    ( spl0_376
    | ~ spl0_12
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f7846,f7589,f73,f18914]) ).

fof(f18914,plain,
    ( spl0_376
  <=> true = ifeq(less_equal(identity,a),true,less_equal(idQa,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f7589,plain,
    ( spl0_173
  <=> true = ifeq(true,true,ifeq(less_equal(identity,a),true,less_equal(idQa,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f7846,plain,
    ( true = ifeq(less_equal(identity,a),true,less_equal(idQa,zero),true)
    | ~ spl0_12
    | ~ spl0_173 ),
    inference(superposition,[],[f7591,f74]) ).

fof(f7591,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,a),true,less_equal(idQa,zero),true),true)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f7589]) ).

fof(f18912,plain,
    ( spl0_375
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2540,f2123,f77,f73,f18910]) ).

fof(f2540,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQ_idQa),X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,X0,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2508,f74]) ).

fof(f2508,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQ_idQa),X2),true,ifeq(true,true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X3,X0,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f78]) ).

fof(f18908,plain,
    ( spl0_374
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2484,f2119,f77,f73,f18906]) ).

fof(f18906,plain,
    ( spl0_374
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,idQa),X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f2484,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQa),X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2453,f74]) ).

fof(f2453,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,idQa),X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f78]) ).

fof(f18904,plain,
    ( spl0_373
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2480,f2119,f77,f73,f18902]) ).

fof(f2480,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQa),X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2449,f74]) ).

fof(f2449,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,idQa),X2),true,ifeq(true,true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f78]) ).

fof(f18900,plain,
    ( spl0_372
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2422,f2115,f77,f73,f18898]) ).

fof(f18898,plain,
    ( spl0_372
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(divide(X0,a),X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f2422,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,a),X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2386,f74]) ).

fof(f2386,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(divide(X0,a),X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,identity),true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f78]) ).

fof(f18896,plain,
    ( spl0_371
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2418,f2115,f77,f73,f18894]) ).

fof(f2418,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,a),X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2382,f74]) ).

fof(f2382,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,divide(X0,a),X2),true,ifeq(true,true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X3,X0,identity),true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f78]) ).

fof(f18400,plain,
    ( spl0_370
    | ~ spl0_12
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f7844,f7358,f73,f18397]) ).

fof(f18397,plain,
    ( spl0_370
  <=> true = ifeq(less_equal(idQ_idQa,zero),true,less_equal(idQa,idQa_Q__idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f7358,plain,
    ( spl0_172
  <=> true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f7844,plain,
    ( true = ifeq(less_equal(idQ_idQa,zero),true,less_equal(idQa,idQa_Q__idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_172 ),
    inference(superposition,[],[f7360,f74]) ).

fof(f7360,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f7358]) ).

fof(f17392,plain,
    ( spl0_369
    | ~ spl0_12
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f7618,f7353,f73,f17389]) ).

fof(f17389,plain,
    ( spl0_369
  <=> true = ifeq(less_equal(idQa,zero),true,less_equal(identity,idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f7353,plain,
    ( spl0_171
  <=> true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f7618,plain,
    ( true = ifeq(less_equal(idQa,zero),true,less_equal(identity,idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_171 ),
    inference(superposition,[],[f7355,f74]) ).

fof(f7355,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,idQ_idQa),true),true)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f7353]) ).

fof(f16390,plain,
    ( spl0_368
    | ~ spl0_12
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f7616,f7348,f73,f16387]) ).

fof(f16387,plain,
    ( spl0_368
  <=> true = ifeq(less_equal(idQa,a),true,less_equal(idQa,idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f7348,plain,
    ( spl0_170
  <=> true = ifeq(true,true,ifeq(less_equal(idQa,a),true,less_equal(idQa,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f7616,plain,
    ( true = ifeq(less_equal(idQa,a),true,less_equal(idQa,idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_170 ),
    inference(superposition,[],[f7350,f74]) ).

fof(f7350,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,a),true,less_equal(idQa,idQ_idQa),true),true)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f7348]) ).

fof(f15461,plain,
    ( spl0_367
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f7614,f7343,f73,f15458]) ).

fof(f15458,plain,
    ( spl0_367
  <=> true = ifeq(less_equal(a,zero),true,less_equal(identity,idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f7343,plain,
    ( spl0_169
  <=> true = ifeq(true,true,ifeq(less_equal(a,zero),true,less_equal(identity,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f7614,plain,
    ( true = ifeq(less_equal(a,zero),true,less_equal(identity,idQa),true)
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(superposition,[],[f7345,f74]) ).

fof(f7345,plain,
    ( true = ifeq(true,true,ifeq(less_equal(a,zero),true,less_equal(identity,idQa),true),true)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f7343]) ).

fof(f15456,plain,
    ( spl0_366
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f4365,f3245,f73,f57,f15454]) ).

fof(f4365,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(zero,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f4308,f74]) ).

fof(f4308,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(zero,X3,X4),true,ifeq(quotient(X0,X3,X1),true,ifeq(true,true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(superposition,[],[f3246,f58]) ).

fof(f15452,plain,
    ( spl0_365
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4261,f3241,f73,f65,f15450]) ).

fof(f4261,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(forward_demodulation,[],[f4221,f74]) ).

fof(f4221,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,zero,X3),true,ifeq(quotient(zero,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f66]) ).

fof(f15448,plain,
    ( spl0_364
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4260,f3241,f73,f61,f15446]) ).

fof(f4260,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(forward_demodulation,[],[f4220,f74]) ).

fof(f4220,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f62]) ).

fof(f15444,plain,
    ( spl0_363
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f4259,f3241,f73,f53,f15442]) ).

fof(f4259,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(identity,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(forward_demodulation,[],[f4219,f74]) ).

fof(f4219,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(identity,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(superposition,[],[f3242,f54]) ).

fof(f15440,plain,
    ( spl0_362
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4174,f3237,f73,f65,f15438]) ).

fof(f15438,plain,
    ( spl0_362
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,X0,X3),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f4174,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,X0,X3),true,ifeq(quotient(zero,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(forward_demodulation,[],[f4116,f74]) ).

fof(f4116,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,X0,X3),true,ifeq(quotient(zero,X0,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_122 ),
    inference(superposition,[],[f3238,f66]) ).

fof(f15436,plain,
    ( spl0_361
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f4064,f3233,f73,f65,f15434]) ).

fof(f15434,plain,
    ( spl0_361
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,identity,X3),true,ifeq(quotient(zero,identity,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f4064,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,identity,X3),true,ifeq(quotient(zero,identity,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_121 ),
    inference(forward_demodulation,[],[f4012,f74]) ).

fof(f4012,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X0,identity,X3),true,ifeq(quotient(zero,identity,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_121 ),
    inference(superposition,[],[f3234,f66]) ).

fof(f15432,plain,
    ( spl0_360
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3970,f3229,f73,f65,f15430]) ).

fof(f3970,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(quotient(X0,X3,X1),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(forward_demodulation,[],[f3932,f74]) ).

fof(f3932,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(quotient(X0,X3,X1),true,ifeq(true,true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f66]) ).

fof(f15428,plain,
    ( spl0_359
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3965,f3229,f73,f57,f15426]) ).

fof(f3965,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(forward_demodulation,[],[f3927,f74]) ).

fof(f3927,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(true,true,ifeq(quotient(zero,zero,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f58]) ).

fof(f15424,plain,
    ( spl0_358
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3962,f3229,f73,f61,f15422]) ).

fof(f3962,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,zero,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(forward_demodulation,[],[f3924,f74]) ).

fof(f3924,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(true,true,ifeq(quotient(X0,zero,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_120 ),
    inference(superposition,[],[f3230,f62]) ).

fof(f15420,plain,
    ( spl0_357
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3886,f3225,f73,f57,f15418]) ).

fof(f3886,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(zero,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f3845,f74]) ).

fof(f3845,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(zero,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f58]) ).

fof(f15416,plain,
    ( spl0_356
    | ~ spl0_12
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f7612,f7332,f73,f15413]) ).

fof(f15413,plain,
    ( spl0_356
  <=> true = ifeq(less_equal(idQa_Q__idQ_idQa,zero),true,less_equal(idQa,idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f7332,plain,
    ( spl0_167
  <=> true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,zero),true,less_equal(idQa,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f7612,plain,
    ( true = ifeq(less_equal(idQa_Q__idQ_idQa,zero),true,less_equal(idQa,idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_167 ),
    inference(superposition,[],[f7334,f74]) ).

fof(f7334,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,zero),true,less_equal(idQa,idQ_idQa),true),true)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f7332]) ).

fof(f15411,plain,
    ( spl0_355
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3883,f3225,f73,f61,f15409]) ).

fof(f3883,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f3842,f74]) ).

fof(f3842,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f62]) ).

fof(f15407,plain,
    ( spl0_354
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3882,f3225,f73,f53,f15405]) ).

fof(f15405,plain,
    ( spl0_354
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f3882,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f3841,f74]) ).

fof(f3841,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(zero,zero,X3),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f54]) ).

fof(f15403,plain,
    ( spl0_353
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3878,f3225,f73,f65,f15401]) ).

fof(f3878,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f3838,f74]) ).

fof(f3838,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(true,true,ifeq(quotient(X0,X1,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_119 ),
    inference(superposition,[],[f3226,f66]) ).

fof(f15399,plain,
    ( spl0_352
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3775,f3221,f73,f61,f15397]) ).

fof(f15397,plain,
    ( spl0_352
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(quotient(X0,X0,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f3775,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(quotient(X0,X0,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3733,f74]) ).

fof(f3733,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,X0,X3),true,ifeq(quotient(X0,X0,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f62]) ).

fof(f15395,plain,
    ( spl0_351
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3770,f3221,f73,f57,f15393]) ).

fof(f3770,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3728,f74]) ).

fof(f3728,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(true,true,ifeq(quotient(zero,X0,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f58]) ).

fof(f15391,plain,
    ( spl0_350
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3767,f3221,f73,f61,f15389]) ).

fof(f3767,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f3725,f74]) ).

fof(f3725,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,X0,X3),true,ifeq(true,true,ifeq(quotient(X0,X0,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(superposition,[],[f3222,f62]) ).

fof(f15387,plain,
    ( spl0_349
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3681,f3217,f73,f53,f15385]) ).

fof(f15385,plain,
    ( spl0_349
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,identity,X3),true,ifeq(quotient(X0,identity,X1),true,less_equal(X2,X3),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f3681,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,identity,X3),true,ifeq(quotient(X0,identity,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(forward_demodulation,[],[f3646,f74]) ).

fof(f3646,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(zero,identity,X3),true,ifeq(quotient(X0,identity,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_117 ),
    inference(superposition,[],[f3218,f54]) ).

fof(f15383,plain,
    ( spl0_348
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3676,f3217,f73,f53,f15381]) ).

fof(f3676,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,identity,X3),true,ifeq(quotient(X0,X4,X2),true,less_equal(X1,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(forward_demodulation,[],[f3642,f74]) ).

fof(f3642,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,zero,X1),true,ifeq(quotient(X2,identity,X3),true,ifeq(true,true,ifeq(quotient(X0,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_117 ),
    inference(superposition,[],[f3218,f54]) ).

fof(f15379,plain,
    ( spl0_347
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3616,f3213,f73,f57,f15377]) ).

fof(f3616,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3567,f74]) ).

fof(f3567,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,ifeq(true,true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f58]) ).

fof(f15375,plain,
    ( spl0_346
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3614,f3213,f73,f61,f15373]) ).

fof(f3614,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3565,f74]) ).

fof(f3565,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,ifeq(true,true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f62]) ).

fof(f15371,plain,
    ( spl0_345
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f7610,f7327,f73,f15368]) ).

fof(f15368,plain,
    ( spl0_345
  <=> true = ifeq(less_equal(idQ_idQa,zero),true,less_equal(identity,idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f7327,plain,
    ( spl0_166
  <=> true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(identity,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f7610,plain,
    ( true = ifeq(less_equal(idQ_idQa,zero),true,less_equal(identity,idQa),true)
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(superposition,[],[f7329,f74]) ).

fof(f7329,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(identity,idQa),true),true)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f7327]) ).

fof(f15366,plain,
    ( spl0_344
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3613,f3213,f73,f53,f15364]) ).

fof(f3613,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3564,f74]) ).

fof(f3564,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,ifeq(true,true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f54]) ).

fof(f15362,plain,
    ( spl0_343
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3604,f3213,f73,f61,f15360]) ).

fof(f3604,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3557,f74]) ).

fof(f3557,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,zero),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f62]) ).

fof(f15358,plain,
    ( spl0_342
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3595,f3213,f73,f57,f15356]) ).

fof(f15356,plain,
    ( spl0_342
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,zero),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f3595,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3552,f74]) ).

fof(f3552,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,zero),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f58]) ).

fof(f15354,plain,
    ( spl0_341
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3592,f3213,f73,f61,f15352]) ).

fof(f3592,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3549,f74]) ).

fof(f3549,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,zero),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f62]) ).

fof(f15350,plain,
    ( spl0_340
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3513,f3209,f73,f65,f15348]) ).

fof(f3513,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X0,zero,X1),true,less_equal(X3,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(forward_demodulation,[],[f3472,f74]) ).

fof(f3472,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,zero,X2),true,ifeq(quotient(X0,zero,X1),true,ifeq(true,true,less_equal(X3,X0),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f66]) ).

fof(f15346,plain,
    ( spl0_339
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3507,f3209,f73,f65,f15344]) ).

fof(f3507,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(forward_demodulation,[],[f3467,f74]) ).

fof(f3467,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f66]) ).

fof(f15342,plain,
    ( spl0_338
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3502,f3209,f73,f65,f15340]) ).

fof(f3502,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,X4),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_115 ),
    inference(forward_demodulation,[],[f3463,f74]) ).

fof(f3463,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,X0,X2),true,ifeq(true,true,ifeq(quotient(X3,zero,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(superposition,[],[f3210,f66]) ).

fof(f15338,plain,
    ( spl0_337
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3432,f3183,f73,f65,f15336]) ).

fof(f15336,plain,
    ( spl0_337
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X0,X2),true,ifeq(quotient(X0,X0,X1),true,less_equal(X3,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f3432,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X0,X2),true,ifeq(quotient(X0,X0,X1),true,less_equal(X3,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3386,f74]) ).

fof(f3386,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X0,X2),true,ifeq(quotient(X0,X0,X1),true,ifeq(true,true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f66]) ).

fof(f15334,plain,
    ( spl0_336
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3426,f3183,f73,f57,f15332]) ).

fof(f3426,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(zero,X3,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3380,f74]) ).

fof(f3380,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(true,true,ifeq(quotient(zero,X3,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f58]) ).

fof(f15330,plain,
    ( spl0_335
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3423,f3183,f73,f61,f15328]) ).

fof(f3423,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X0,X3,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3377,f74]) ).

fof(f3377,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f62]) ).

fof(f15326,plain,
    ( spl0_334
    | ~ spl0_12
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f7608,f7322,f73,f15323]) ).

fof(f15323,plain,
    ( spl0_334
  <=> true = ifeq(less_equal(idQa,zero),true,less_equal(identity,a),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f7322,plain,
    ( spl0_165
  <=> true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,a),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f7608,plain,
    ( true = ifeq(less_equal(idQa,zero),true,less_equal(identity,a),true)
    | ~ spl0_12
    | ~ spl0_165 ),
    inference(superposition,[],[f7324,f74]) ).

fof(f7324,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,a),true),true)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f7322]) ).

fof(f15321,plain,
    ( spl0_333
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3418,f3183,f73,f57,f15319]) ).

fof(f3418,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3372,f74]) ).

fof(f3372,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,zero,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f58]) ).

fof(f15317,plain,
    ( spl0_332
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3415,f3183,f73,f61,f15315]) ).

fof(f3415,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(forward_demodulation,[],[f3369,f74]) ).

fof(f3369,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(X3,X0,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_114 ),
    inference(superposition,[],[f3184,f62]) ).

fof(f15313,plain,
    ( spl0_331
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3338,f3179,f77,f73,f15311]) ).

fof(f3338,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,identity,X3),true,ifeq(quotient(X0,identity,X2),true,less_equal(X4,zero),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(forward_demodulation,[],[f3295,f74]) ).

fof(f3295,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X1,identity,X3),true,ifeq(quotient(X0,identity,X2),true,ifeq(true,true,less_equal(X4,zero),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f78]) ).

fof(f15309,plain,
    ( spl0_330
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3330,f3179,f73,f53,f15307]) ).

fof(f15307,plain,
    ( spl0_330
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f3330,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(forward_demodulation,[],[f3288,f74]) ).

fof(f3288,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(true,true,ifeq(quotient(X0,X3,X4),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f54]) ).

fof(f15305,plain,
    ( spl0_329
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3325,f3179,f73,f53,f15303]) ).

fof(f3325,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(forward_demodulation,[],[f3284,f74]) ).

fof(f3284,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(quotient(X3,identity,X1),true,ifeq(quotient(X3,X0,X4),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f54]) ).

fof(f15038,plain,
    ( spl0_328
    | ~ spl0_13
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f6851,f6470,f77,f15035]) ).

fof(f6470,plain,
    ( spl0_158
  <=> ! [X0] : true = ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f6851,plain,
    ( true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)),true)
    | ~ spl0_13
    | ~ spl0_158 ),
    inference(superposition,[],[f6471,f78]) ).

fof(f6471,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f6470]) ).

fof(f14510,plain,
    ( spl0_327
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f528,f466,f146,f73,f14508]) ).

fof(f14508,plain,
    ( spl0_327
  <=> ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f528,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f516,f74]) ).

fof(f516,plain,
    ( ! [X0] : true = ifeq(less_equal(idQa,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_20
    | ~ spl0_29 ),
    inference(superposition,[],[f147,f468]) ).

fof(f13454,plain,
    ( spl0_326
    | ~ spl0_163
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f10756,f10692,f7179,f13452]) ).

fof(f13452,plain,
    ( spl0_326
  <=> ! [X0] : zero = ifeq2(quotient(idQ_idQa,a,X0),true,X0,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f10692,plain,
    ( spl0_282
  <=> zero = divide(idQ_idQa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f10756,plain,
    ( ! [X0] : zero = ifeq2(quotient(idQ_idQa,a,X0),true,X0,zero)
    | ~ spl0_163
    | ~ spl0_282 ),
    inference(superposition,[],[f7180,f10694]) ).

fof(f10694,plain,
    ( zero = divide(idQ_idQa,a)
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f10692]) ).

fof(f11897,plain,
    ( spl0_325
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f10446,f10249,f142,f69,f11895]) ).

fof(f11895,plain,
    ( spl0_325
  <=> ! [X0] : ifeq2(quotient(idQ_idQa,a,X0),true,zero,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f142,plain,
    ( spl0_19
  <=> ! [X4,X11,X5,X3] : ifeq2(quotient(X3,X4,X11),true,ifeq2(quotient(X3,X4,X5),true,X5,X11),X11) = X11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f10249,plain,
    ( spl0_261
  <=> true = quotient(idQ_idQa,a,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f10446,plain,
    ( ! [X0] : ifeq2(quotient(idQ_idQa,a,X0),true,zero,X0) = X0
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(forward_demodulation,[],[f10314,f70]) ).

fof(f10314,plain,
    ( ! [X0] : ifeq2(quotient(idQ_idQa,a,X0),true,ifeq2(true,true,zero,X0),X0) = X0
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(superposition,[],[f143,f10251]) ).

fof(f10251,plain,
    ( true = quotient(idQ_idQa,a,zero)
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f10249]) ).

fof(f143,plain,
    ( ! [X3,X11,X4,X5] : ifeq2(quotient(X3,X4,X11),true,ifeq2(quotient(X3,X4,X5),true,X5,X11),X11) = X11
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f11456,plain,
    ( spl0_324
    | ~ spl0_163
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f9530,f9254,f7179,f11454]) ).

fof(f11454,plain,
    ( spl0_324
  <=> ! [X0] : zero = ifeq2(quotient(idQa_Q__idQ_idQa,idQa,X0),true,X0,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f9254,plain,
    ( spl0_221
  <=> zero = divide(idQa_Q__idQ_idQa,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f9530,plain,
    ( ! [X0] : zero = ifeq2(quotient(idQa_Q__idQ_idQa,idQa,X0),true,X0,zero)
    | ~ spl0_163
    | ~ spl0_221 ),
    inference(superposition,[],[f7180,f9256]) ).

fof(f9256,plain,
    ( zero = divide(idQa_Q__idQ_idQa,idQa)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f9254]) ).

fof(f10935,plain,
    ( spl0_323
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3160,f2370,f73,f65,f10933]) ).

fof(f3160,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQ_idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3129,f74]) ).

fof(f3129,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f66]) ).

fof(f10931,plain,
    ( spl0_322
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3159,f2370,f73,f61,f10929]) ).

fof(f3159,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3128,f74]) ).

fof(f3128,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f62]) ).

fof(f10927,plain,
    ( spl0_321
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3158,f2370,f73,f53,f10925]) ).

fof(f10925,plain,
    ( spl0_321
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(quotient(idQ_idQa,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f3158,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(quotient(idQ_idQa,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3127,f74]) ).

fof(f3127,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(quotient(idQ_idQa,identity,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f54]) ).

fof(f10923,plain,
    ( spl0_320
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3155,f2370,f73,f65,f10921]) ).

fof(f3155,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3124,f74]) ).

fof(f3124,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,zero,X2),true,ifeq(true,true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f66]) ).

fof(f10919,plain,
    ( spl0_319
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3154,f2370,f73,f61,f10917]) ).

fof(f3154,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3123,f74]) ).

fof(f3123,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f62]) ).

fof(f10915,plain,
    ( spl0_318
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3153,f2370,f73,f53,f10913]) ).

fof(f10913,plain,
    ( spl0_318
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f3153,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3122,f74]) ).

fof(f3122,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,identity,X2),true,ifeq(true,true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f54]) ).

fof(f10911,plain,
    ( spl0_317
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3151,f2370,f73,f65,f10909]) ).

fof(f3151,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3120,f74]) ).

fof(f3120,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(idQ_idQa,zero,X1),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f66]) ).

fof(f10907,plain,
    ( spl0_316
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3150,f2370,f73,f61,f10905]) ).

fof(f3150,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_112 ),
    inference(forward_demodulation,[],[f3119,f74]) ).

fof(f3119,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQa,idQa_Q__idQ_idQa,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(superposition,[],[f2371,f62]) ).

fof(f10903,plain,
    ( spl0_315
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3092,f2366,f73,f65,f10901]) ).

fof(f3092,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3059,f74]) ).

fof(f3059,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(idQa,zero,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f66]) ).

fof(f10899,plain,
    ( spl0_314
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f8856,f8482,f142,f69,f10897]) ).

fof(f10897,plain,
    ( spl0_314
  <=> ! [X0] : ifeq2(quotient(idQa_Q__idQ_idQa,idQa,X0),true,zero,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f8482,plain,
    ( spl0_211
  <=> true = quotient(idQa_Q__idQ_idQa,idQa,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f8856,plain,
    ( ! [X0] : ifeq2(quotient(idQa_Q__idQ_idQa,idQa,X0),true,zero,X0) = X0
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_211 ),
    inference(forward_demodulation,[],[f8731,f70]) ).

fof(f8731,plain,
    ( ! [X0] : ifeq2(quotient(idQa_Q__idQ_idQa,idQa,X0),true,ifeq2(true,true,zero,X0),X0) = X0
    | ~ spl0_19
    | ~ spl0_211 ),
    inference(superposition,[],[f143,f8484]) ).

fof(f8484,plain,
    ( true = quotient(idQa_Q__idQ_idQa,idQa,zero)
    | ~ spl0_211 ),
    inference(avatar_component_clause,[],[f8482]) ).

fof(f10895,plain,
    ( spl0_313
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3090,f2366,f73,f53,f10893]) ).

fof(f10893,plain,
    ( spl0_313
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f3090,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(quotient(idQa,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3057,f74]) ).

fof(f3057,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(quotient(idQa,identity,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f54]) ).

fof(f10891,plain,
    ( spl0_312
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3086,f2366,f73,f65,f10889]) ).

fof(f3086,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3053,f74]) ).

fof(f3053,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(idQ_idQa,zero,X2),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f66]) ).

fof(f10887,plain,
    ( spl0_311
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3085,f2366,f73,f61,f10885]) ).

fof(f3085,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3052,f74]) ).

fof(f3052,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(true,true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f62]) ).

fof(f10883,plain,
    ( spl0_310
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3084,f2366,f73,f53,f10881]) ).

fof(f10881,plain,
    ( spl0_310
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f3084,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3051,f74]) ).

fof(f3051,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQ_idQa,identity,X2),true,ifeq(true,true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f54]) ).

fof(f10879,plain,
    ( spl0_309
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3081,f2366,f73,f65,f10877]) ).

fof(f3081,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3048,f74]) ).

fof(f3048,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(idQa,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f66]) ).

fof(f10875,plain,
    ( spl0_308
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3080,f2366,f73,f61,f10873]) ).

fof(f3080,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f3047,f74]) ).

fof(f3047,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(superposition,[],[f2367,f62]) ).

fof(f10871,plain,
    ( spl0_307
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3020,f2362,f73,f65,f10869]) ).

fof(f3020,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(a,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2987,f74]) ).

fof(f2987,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(a,zero,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f66]) ).

fof(f10867,plain,
    ( spl0_306
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3018,f2362,f73,f53,f10865]) ).

fof(f10865,plain,
    ( spl0_306
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(quotient(a,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f3018,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(quotient(a,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2985,f74]) ).

fof(f2985,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(quotient(a,identity,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f54]) ).

fof(f10863,plain,
    ( spl0_305
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3014,f2362,f73,f65,f10861]) ).

fof(f3014,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2981,f74]) ).

fof(f2981,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(quotient(idQa,zero,X2),true,ifeq(true,true,ifeq(quotient(identity,zero,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f66]) ).

fof(f10859,plain,
    ( spl0_304
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3013,f2362,f73,f61,f10857]) ).

fof(f3013,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2980,f74]) ).

fof(f2980,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(true,true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f62]) ).

fof(f10854,plain,
    ( spl0_303
    | ~ spl0_41
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f10328,f10249,f610,f10851]) ).

fof(f10851,plain,
    ( spl0_303
  <=> zero = ifeq2(true,true,divide(idQ_idQa,a),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f10328,plain,
    ( zero = ifeq2(true,true,divide(idQ_idQa,a),zero)
    | ~ spl0_41
    | ~ spl0_261 ),
    inference(superposition,[],[f611,f10251]) ).

fof(f10849,plain,
    ( spl0_302
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3012,f2362,f73,f53,f10847]) ).

fof(f10847,plain,
    ( spl0_302
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f3012,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2979,f74]) ).

fof(f2979,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(idQa,identity,X2),true,ifeq(true,true,ifeq(quotient(identity,identity,X0),true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f54]) ).

fof(f10845,plain,
    ( spl0_301
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3010,f2362,f73,f65,f10843]) ).

fof(f3010,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2977,f74]) ).

fof(f2977,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(a,zero,X1),true,ifeq(quotient(identity,zero,X0),true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f66]) ).

fof(f10841,plain,
    ( spl0_300
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3009,f2362,f73,f61,f10839]) ).

fof(f3009,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(forward_demodulation,[],[f2976,f74]) ).

fof(f2976,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(a,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_110 ),
    inference(superposition,[],[f2363,f62]) ).

fof(f10837,plain,
    ( spl0_299
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2947,f2358,f73,f65,f10835]) ).

fof(f10835,plain,
    ( spl0_299
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f2947,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2919,f74]) ).

fof(f2919,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f66]) ).

fof(f10833,plain,
    ( spl0_298
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2946,f2358,f73,f61,f10831]) ).

fof(f10831,plain,
    ( spl0_298
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f2946,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2918,f74]) ).

fof(f2918,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f62]) ).

fof(f10829,plain,
    ( spl0_297
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2945,f2358,f73,f53,f10827]) ).

fof(f2945,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2917,f74]) ).

fof(f2917,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f54]) ).

fof(f10825,plain,
    ( spl0_296
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2944,f2358,f73,f48,f10823]) ).

fof(f2944,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2916,f74]) ).

fof(f2916,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(idQa_Q__idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f50]) ).

fof(f10821,plain,
    ( spl0_295
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2942,f2358,f73,f57,f10819]) ).

fof(f2942,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2914,f74]) ).

fof(f2914,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(idQa,zero,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f58]) ).

fof(f10817,plain,
    ( spl0_294
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2940,f2358,f73,f61,f10815]) ).

fof(f2940,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2912,f74]) ).

fof(f2912,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(idQa,idQ_idQa,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f62]) ).

fof(f10813,plain,
    ( spl0_293
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2938,f2358,f73,f57,f10811]) ).

fof(f2938,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2910,f74]) ).

fof(f2910,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f58]) ).

fof(f10735,plain,
    ( spl0_292
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2936,f2358,f73,f61,f10733]) ).

fof(f2936,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[],[f2908,f74]) ).

fof(f2908,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQ_idQa),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_109 ),
    inference(superposition,[],[f2359,f62]) ).

fof(f10731,plain,
    ( spl0_291
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2885,f2354,f73,f65,f10729]) ).

fof(f10729,plain,
    ( spl0_291
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X2),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2885,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X2),true,ifeq(quotient(zero,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2856,f74]) ).

fof(f2856,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(identity,idQa,X2),true,ifeq(quotient(zero,idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f66]) ).

fof(f10727,plain,
    ( spl0_290
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2883,f2354,f73,f53,f10725]) ).

fof(f10725,plain,
    ( spl0_290
  <=> ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f2883,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2854,f74]) ).

fof(f2854,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(zero,idQa,X2),true,ifeq(quotient(identity,idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f54]) ).

fof(f10723,plain,
    ( spl0_289
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2882,f2354,f73,f43,f10721]) ).

fof(f2882,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(idQa,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2853,f74]) ).

fof(f2853,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQ_idQa,idQa,X2),true,ifeq(quotient(idQa,idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f45]) ).

fof(f10719,plain,
    ( spl0_288
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2881,f2354,f73,f38,f10717]) ).

fof(f2881,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X2),true,ifeq(quotient(a,idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2852,f74]) ).

fof(f2852,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(idQa,idQa,X2),true,ifeq(quotient(a,idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f40]) ).

fof(f10715,plain,
    ( spl0_287
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2879,f2354,f73,f57,f10713]) ).

fof(f2879,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2850,f74]) ).

fof(f2850,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f58]) ).

fof(f10711,plain,
    ( spl0_286
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2877,f2354,f73,f61,f10709]) ).

fof(f2877,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2848,f74]) ).

fof(f2848,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,zero,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(identity,idQa,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f62]) ).

fof(f10707,plain,
    ( spl0_285
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2875,f2354,f73,f57,f10705]) ).

fof(f2875,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2846,f74]) ).

fof(f2846,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f58]) ).

fof(f10703,plain,
    ( spl0_284
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2873,f2354,f73,f61,f10701]) ).

fof(f2873,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f2844,f74]) ).

fof(f2844,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,idQa),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_108 ),
    inference(superposition,[],[f2355,f62]) ).

fof(f10699,plain,
    ( spl0_283
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2821,f2350,f73,f65,f10697]) ).

fof(f2821,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X2),true,ifeq(quotient(zero,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2792,f74]) ).

fof(f2792,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(identity,a,X2),true,ifeq(quotient(zero,a,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f66]) ).

fof(f10695,plain,
    ( spl0_282
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f10482,f10249,f1392,f69,f10692]) ).

fof(f10482,plain,
    ( zero = divide(idQ_idQa,a)
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_261 ),
    inference(forward_demodulation,[],[f10481,f70]) ).

fof(f10481,plain,
    ( divide(idQ_idQa,a) = ifeq2(true,true,zero,divide(idQ_idQa,a))
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_261 ),
    inference(forward_demodulation,[],[f10336,f70]) ).

fof(f10336,plain,
    ( divide(idQ_idQa,a) = ifeq2(true,true,ifeq2(true,true,zero,divide(idQ_idQa,a)),divide(idQ_idQa,a))
    | ~ spl0_78
    | ~ spl0_261 ),
    inference(superposition,[],[f1393,f10251]) ).

fof(f10690,plain,
    ( spl0_281
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2819,f2350,f73,f53,f10688]) ).

fof(f2819,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X2),true,ifeq(quotient(identity,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2790,f74]) ).

fof(f2790,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(zero,a,X2),true,ifeq(quotient(identity,a,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f54]) ).

fof(f10686,plain,
    ( spl0_280
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2818,f2350,f73,f43,f10684]) ).

fof(f2818,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,a,X2),true,ifeq(quotient(idQa,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2789,f74]) ).

fof(f2789,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQ_idQa,a,X2),true,ifeq(quotient(idQa,a,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f45]) ).

fof(f10682,plain,
    ( spl0_279
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2817,f2350,f73,f38,f10680]) ).

fof(f2817,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2788,f74]) ).

fof(f2788,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f40]) ).

fof(f10678,plain,
    ( spl0_278
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2815,f2350,f73,f57,f10676]) ).

fof(f2815,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2786,f74]) ).

fof(f2786,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(true,true,ifeq(quotient(identity,zero,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f58]) ).

fof(f10674,plain,
    ( spl0_277
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2813,f2350,f73,f61,f10672]) ).

fof(f2813,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2784,f74]) ).

fof(f2784,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,zero,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(true,true,ifeq(quotient(identity,a,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f62]) ).

fof(f10670,plain,
    ( spl0_276
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2811,f2350,f73,f57,f10668]) ).

fof(f2811,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2782,f74]) ).

fof(f2782,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f58]) ).

fof(f10666,plain,
    ( spl0_275
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2809,f2350,f73,f61,f10664]) ).

fof(f2809,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f2780,f74]) ).

fof(f2780,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,a),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(superposition,[],[f2351,f62]) ).

fof(f10662,plain,
    ( spl0_274
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2755,f2135,f73,f43,f10660]) ).

fof(f2755,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2727,f74]) ).

fof(f2727,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(idQ_idQa,idQ_idQa,X2),true,ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f45]) ).

fof(f10658,plain,
    ( spl0_273
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2754,f2135,f73,f57,f10656]) ).

fof(f10656,plain,
    ( spl0_273
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2754,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2726,f74]) ).

fof(f2726,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f58]) ).

fof(f10654,plain,
    ( spl0_272
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2752,f2135,f73,f61,f10652]) ).

fof(f10652,plain,
    ( spl0_272
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f2752,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X1,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2724,f74]) ).

fof(f2724,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(zero,idQ_idQa,X2),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f62]) ).

fof(f10292,plain,
    ( spl0_271
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2751,f2135,f73,f48,f10290]) ).

fof(f2751,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2723,f74]) ).

fof(f2723,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(idQa,idQa,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f50]) ).

fof(f10288,plain,
    ( spl0_270
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2750,f2135,f73,f57,f10286]) ).

fof(f2750,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2722,f74]) ).

fof(f2722,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(zero,idQa,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f58]) ).

fof(f10284,plain,
    ( spl0_269
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2748,f2135,f73,f61,f10282]) ).

fof(f2748,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2720,f74]) ).

fof(f2720,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa_Q__idQ_idQa,X0),true,ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(true,true,ifeq(quotient(idQ_idQa,idQa,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f62]) ).

fof(f10280,plain,
    ( spl0_268
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2746,f2135,f73,f57,f10278]) ).

fof(f2746,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2718,f74]) ).

fof(f2718,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f58]) ).

fof(f10276,plain,
    ( spl0_267
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2744,f2135,f73,f61,f10274]) ).

fof(f2744,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQ_idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_106 ),
    inference(forward_demodulation,[],[f2716,f74]) ).

fof(f2716,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQ_idQa),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(superposition,[],[f2136,f62]) ).

fof(f10272,plain,
    ( spl0_266
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2689,f2131,f73,f53,f10270]) ).

fof(f2689,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2659,f74]) ).

fof(f2659,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQ_idQa,X2),true,ifeq(quotient(zero,idQa,X3),true,ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f54]) ).

fof(f10268,plain,
    ( spl0_265
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2688,f2131,f73,f43,f10266]) ).

fof(f2688,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2658,f74]) ).

fof(f2658,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f45]) ).

fof(f10264,plain,
    ( spl0_264
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2687,f2131,f73,f57,f10262]) ).

fof(f2687,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2657,f74]) ).

fof(f2657,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f58]) ).

fof(f10260,plain,
    ( spl0_263
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2685,f2131,f73,f61,f10258]) ).

fof(f2685,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(idQa,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2655,f74]) ).

fof(f2655,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQ_idQa,X0),true,ifeq(quotient(X1,idQa,X2),true,ifeq(true,true,ifeq(quotient(idQa,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f62]) ).

fof(f10256,plain,
    ( spl0_262
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2679,f2131,f73,f61,f10254]) ).

fof(f2679,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,idQa),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2651,f74]) ).

fof(f2651,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,idQa),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f62]) ).

fof(f10252,plain,
    ( spl0_261
    | ~ spl0_12
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f10206,f10162,f73,f10249]) ).

fof(f10162,plain,
    ( spl0_240
  <=> true = ifeq(true,true,quotient(idQ_idQa,a,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f10206,plain,
    ( true = quotient(idQ_idQa,a,zero)
    | ~ spl0_12
    | ~ spl0_240 ),
    inference(superposition,[],[f10164,f74]) ).

fof(f10164,plain,
    ( true = ifeq(true,true,quotient(idQ_idQa,a,zero),true)
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f10162]) ).

fof(f10247,plain,
    ( spl0_260
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2602,f2127,f73,f53,f10245]) ).

fof(f2602,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,a,X3),true,ifeq(quotient(X0,a,X1),true,less_equal(X2,X3),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2572,f74]) ).

fof(f2572,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,idQa,X2),true,ifeq(quotient(zero,a,X3),true,ifeq(quotient(X0,a,X1),true,ifeq(true,true,less_equal(X2,X3),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f54]) ).

fof(f10243,plain,
    ( spl0_259
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2601,f2127,f73,f38,f10241]) ).

fof(f2601,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2571,f74]) ).

fof(f2571,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(true,true,ifeq(quotient(identity,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f40]) ).

fof(f10239,plain,
    ( spl0_258
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2600,f2127,f73,f57,f10237]) ).

fof(f2600,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2570,f74]) ).

fof(f2570,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(true,true,ifeq(quotient(zero,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f58]) ).

fof(f10235,plain,
    ( spl0_257
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2598,f2127,f73,f61,f10233]) ).

fof(f2598,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(quotient(a,identity,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2568,f74]) ).

fof(f2568,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,idQa,X0),true,ifeq(quotient(X1,a,X2),true,ifeq(true,true,ifeq(quotient(a,identity,X1),true,less_equal(X0,X2),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f62]) ).

fof(f10231,plain,
    ( spl0_256
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2592,f2127,f73,f61,f10229]) ).

fof(f2592,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,a),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2564,f74]) ).

fof(f2564,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,a),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f62]) ).

fof(f10227,plain,
    ( spl0_255
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2548,f2123,f73,f38,f10225]) ).

fof(f2548,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2516,f74]) ).

fof(f2516,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(a,idQ_idQa,X1),true,ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f40]) ).

fof(f10223,plain,
    ( spl0_254
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2547,f2123,f73,f65,f10221]) ).

fof(f2547,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2515,f74]) ).

fof(f2515,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQ_idQa,X1),true,ifeq(quotient(idQa,idQ_idQa,X0),true,ifeq(true,true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f66]) ).

fof(f10219,plain,
    ( spl0_253
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2546,f2123,f73,f48,f10217]) ).

fof(f2546,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2514,f74]) ).

fof(f2514,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f50]) ).

fof(f10215,plain,
    ( spl0_252
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2545,f2123,f73,f57,f10213]) ).

fof(f2545,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(zero,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2513,f74]) ).

fof(f2513,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f58]) ).

fof(f10211,plain,
    ( spl0_251
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2543,f2123,f73,f61,f10209]) ).

fof(f2543,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(idQ_idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2511,f74]) ).

fof(f2511,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQ_idQa,X2,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f62]) ).

fof(f10205,plain,
    ( spl0_250
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2542,f2123,f73,f48,f10203]) ).

fof(f2542,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2510,f74]) ).

fof(f2510,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f50]) ).

fof(f10201,plain,
    ( spl0_249
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2541,f2123,f73,f57,f10199]) ).

fof(f2541,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2509,f74]) ).

fof(f2509,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,zero,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f58]) ).

fof(f10197,plain,
    ( spl0_248
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2539,f2123,f73,f61,f10195]) ).

fof(f2539,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f2507,f74]) ).

fof(f2507,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,idQ_idQa,X0),true,ifeq(quotient(X2,idQ_idQa,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_103 ),
    inference(superposition,[],[f2124,f62]) ).

fof(f10193,plain,
    ( spl0_247
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2487,f2119,f73,f65,f10191]) ).

fof(f2487,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,less_equal(X2,idQ_idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2456,f74]) ).

fof(f2456,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,idQa,X1),true,ifeq(quotient(identity,idQa,X0),true,ifeq(true,true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f66]) ).

fof(f10189,plain,
    ( spl0_246
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2486,f2119,f73,f43,f10187]) ).

fof(f2486,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2455,f74]) ).

fof(f2455,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f45]) ).

fof(f10185,plain,
    ( spl0_245
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2485,f2119,f73,f57,f10183]) ).

fof(f2485,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2454,f74]) ).

fof(f2454,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(true,true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f58]) ).

fof(f10181,plain,
    ( spl0_244
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2483,f2119,f73,f61,f10179]) ).

fof(f2483,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(idQa,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2452,f74]) ).

fof(f2452,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,X2,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f62]) ).

fof(f10177,plain,
    ( spl0_243
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2482,f2119,f73,f43,f10175]) ).

fof(f2482,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2451,f74]) ).

fof(f2451,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f45]) ).

fof(f10173,plain,
    ( spl0_242
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2481,f2119,f73,f57,f10171]) ).

fof(f2481,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2450,f74]) ).

fof(f2450,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f58]) ).

fof(f10169,plain,
    ( spl0_241
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2479,f2119,f73,f61,f10167]) ).

fof(f2479,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,idQa,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(forward_demodulation,[],[f2448,f74]) ).

fof(f2448,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,idQa,identity),true,less_equal(X1,idQ_idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_102 ),
    inference(superposition,[],[f2120,f62]) ).

fof(f10165,plain,
    ( spl0_240
    | ~ spl0_14
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f6116,f6053,f81,f10162]) ).

fof(f6116,plain,
    ( true = ifeq(true,true,quotient(idQ_idQa,a,zero),true)
    | ~ spl0_14
    | ~ spl0_140 ),
    inference(superposition,[],[f82,f6055]) ).

fof(f10160,plain,
    ( spl0_239
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2425,f2115,f73,f65,f10158]) ).

fof(f10158,plain,
    ( spl0_239
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X2,idQa),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f2425,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,a,X1),true,ifeq(quotient(identity,a,X0),true,less_equal(X2,idQa),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2389,f74]) ).

fof(f2389,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(zero,a,X1),true,ifeq(quotient(identity,a,X0),true,ifeq(true,true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f66]) ).

fof(f10156,plain,
    ( spl0_238
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2424,f2115,f73,f38,f10154]) ).

fof(f2424,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2388,f74]) ).

fof(f2388,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(true,true,ifeq(quotient(identity,X2,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f40]) ).

fof(f10152,plain,
    ( spl0_237
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2423,f2115,f73,f57,f10150]) ).

fof(f2423,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2387,f74]) ).

fof(f2387,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(true,true,ifeq(quotient(zero,X2,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f58]) ).

fof(f10148,plain,
    ( spl0_236
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2421,f2115,f73,f61,f10146]) ).

fof(f2421,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(a,X2,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2385,f74]) ).

fof(f2385,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X0,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(true,true,ifeq(quotient(a,X2,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f62]) ).

fof(f10144,plain,
    ( spl0_235
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2420,f2115,f73,f38,f10142]) ).

fof(f2420,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2384,f74]) ).

fof(f2384,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f40]) ).

fof(f10140,plain,
    ( spl0_234
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2419,f2115,f73,f57,f10138]) ).

fof(f2419,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2383,f74]) ).

fof(f2383,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,zero,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f58]) ).

fof(f10136,plain,
    ( spl0_233
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2417,f2115,f73,f61,f10134]) ).

fof(f2417,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,a,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(forward_demodulation,[],[f2381,f74]) ).

fof(f2381,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,a,identity),true,less_equal(X1,idQa),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_101 ),
    inference(superposition,[],[f2116,f62]) ).

fof(f10053,plain,
    ( spl0_232
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3320,f3179,f73,f65,f53,f10051]) ).

fof(f3320,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,identity,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(forward_demodulation,[],[f3319,f74]) ).

fof(f3319,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(true,true,ifeq(quotient(X2,identity,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,zero),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(forward_demodulation,[],[f3278,f54]) ).

fof(f3278,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,identity,zero),true,ifeq(quotient(X2,identity,X0),true,ifeq(quotient(X2,X1,X3),true,less_equal(X0,zero),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(superposition,[],[f3180,f66]) ).

fof(f9990,plain,
    ( spl0_231
    | ~ spl0_41
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f8745,f8482,f610,f9987]) ).

fof(f9987,plain,
    ( spl0_231
  <=> zero = ifeq2(true,true,divide(idQa_Q__idQ_idQa,idQa),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f8745,plain,
    ( zero = ifeq2(true,true,divide(idQa_Q__idQ_idQa,idQa),zero)
    | ~ spl0_41
    | ~ spl0_211 ),
    inference(superposition,[],[f611,f8484]) ).

fof(f9852,plain,
    ( spl0_230
    | ~ spl0_12
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2087,f1981,f73,f9850]) ).

fof(f2087,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X3),true,less_equal(X2,divide(X3,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_100 ),
    inference(superposition,[],[f1982,f74]) ).

fof(f9848,plain,
    ( spl0_229
    | ~ spl0_12
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2047,f1973,f73,f9846]) ).

fof(f2047,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,X3),true,less_equal(divide(X0,X3),X2),true),true)
    | ~ spl0_12
    | ~ spl0_98 ),
    inference(superposition,[],[f1974,f74]) ).

fof(f9844,plain,
    ( spl0_228
    | ~ spl0_12
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2003,f1969,f73,f9842]) ).

fof(f2003,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,X3),true,less_equal(divide(X0,X3),X1),true),true)
    | ~ spl0_12
    | ~ spl0_97 ),
    inference(superposition,[],[f1970,f74]) ).

fof(f9566,plain,
    ( spl0_227
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3609,f3213,f73,f57,f9564]) ).

fof(f9564,plain,
    ( spl0_227
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f3609,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3608,f74]) ).

fof(f3608,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(true,true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3607,f58]) ).

fof(f3607,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(quotient(zero,X3,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f3560,f74]) ).

fof(f3560,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X1),true,ifeq(true,true,ifeq(quotient(zero,X3,zero),true,less_equal(X2,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_116 ),
    inference(superposition,[],[f3214,f58]) ).

fof(f9509,plain,
    ( spl0_226
    | ~ spl0_13
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1500,f1404,f77,f9507]) ).

fof(f1500,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X0),true,less_equal(divide(X2,X1),divide(X0,X1)),true),true)
    | ~ spl0_13
    | ~ spl0_81 ),
    inference(superposition,[],[f1405,f78]) ).

fof(f9505,plain,
    ( spl0_225
    | ~ spl0_13
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1470,f1400,f77,f9503]) ).

fof(f1470,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),divide(X0,X2)),true),true)
    | ~ spl0_13
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f78]) ).

fof(f9501,plain,
    ( spl0_224
    | ~ spl0_13
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1443,f1396,f77,f9499]) ).

fof(f1443,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X2),X1),true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_13
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f78]) ).

fof(f9398,plain,
    ( spl0_223
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2683,f2131,f73,f57,f53,f9396]) ).

fof(f2683,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2682,f74]) ).

fof(f2682,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2681,f54]) ).

fof(f2681,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f2653,f74]) ).

fof(f2653,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,idQa,X0),true,ifeq(quotient(X2,identity,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(superposition,[],[f2132,f58]) ).

fof(f9394,plain,
    ( spl0_222
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2596,f2127,f73,f57,f53,f9392]) ).

fof(f2596,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,less_equal(X1,zero),true),true)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2595,f74]) ).

fof(f2595,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(true,true,less_equal(X1,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2594,f54]) ).

fof(f2594,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,zero),true,less_equal(X1,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_104 ),
    inference(forward_demodulation,[],[f2566,f74]) ).

fof(f2566,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,ifeq(quotient(X2,a,X0),true,ifeq(quotient(X2,identity,zero),true,less_equal(X1,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_104 ),
    inference(superposition,[],[f2128,f58]) ).

fof(f9257,plain,
    ( spl0_221
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f8892,f8482,f1392,f69,f9254]) ).

fof(f8892,plain,
    ( zero = divide(idQa_Q__idQ_idQa,idQa)
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_211 ),
    inference(forward_demodulation,[],[f8891,f70]) ).

fof(f8891,plain,
    ( divide(idQa_Q__idQ_idQa,idQa) = ifeq2(true,true,zero,divide(idQa_Q__idQ_idQa,idQa))
    | ~ spl0_11
    | ~ spl0_78
    | ~ spl0_211 ),
    inference(forward_demodulation,[],[f8753,f70]) ).

fof(f8753,plain,
    ( divide(idQa_Q__idQ_idQa,idQa) = ifeq2(true,true,ifeq2(true,true,zero,divide(idQa_Q__idQ_idQa,idQa)),divide(idQa_Q__idQ_idQa,idQa))
    | ~ spl0_78
    | ~ spl0_211 ),
    inference(superposition,[],[f1393,f8484]) ).

fof(f9070,plain,
    ( spl0_220
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1946,f1778,f73,f9068]) ).

fof(f9068,plain,
    ( spl0_220
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,zero),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f1778,plain,
    ( spl0_96
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1946,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,zero),true,less_equal(X2,zero),true),true)
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(superposition,[],[f1779,f74]) ).

fof(f1779,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1778]) ).

fof(f9066,plain,
    ( spl0_219
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1911,f1774,f73,f9064]) ).

fof(f9064,plain,
    ( spl0_219
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(less_equal(X0,X2),true,less_equal(X1,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1911,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,zero,X1),true,ifeq(less_equal(X0,X2),true,less_equal(X1,X2),true),true)
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(superposition,[],[f1775,f74]) ).

fof(f9062,plain,
    ( spl0_218
    | ~ spl0_12
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1872,f1770,f73,f9060]) ).

fof(f9060,plain,
    ( spl0_218
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(less_equal(X0,X2),true,less_equal(X1,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f1770,plain,
    ( spl0_94
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,identity,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,zero),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1872,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X1),true,ifeq(less_equal(X0,X2),true,less_equal(X1,zero),true),true)
    | ~ spl0_12
    | ~ spl0_94 ),
    inference(superposition,[],[f1771,f74]) ).

fof(f1771,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,identity,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1770]) ).

fof(f9058,plain,
    ( spl0_217
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1837,f1762,f73,f9056]) ).

fof(f9056,plain,
    ( spl0_217
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X0,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f1762,plain,
    ( spl0_92
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X0,X2),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1837,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X0,X2),true),true)
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(superposition,[],[f1763,f74]) ).

fof(f1763,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f1762]) ).

fof(f9054,plain,
    ( spl0_216
    | ~ spl0_12
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1798,f1758,f73,f9052]) ).

fof(f9052,plain,
    ( spl0_216
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,zero),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f1758,plain,
    ( spl0_91
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,zero),true,less_equal(X0,X1),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1798,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,zero),true,less_equal(X0,X1),true),true)
    | ~ spl0_12
    | ~ spl0_91 ),
    inference(superposition,[],[f1759,f74]) ).

fof(f1759,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,zero),true,less_equal(X0,X1),true),true),true)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f1758]) ).

fof(f9050,plain,
    ( spl0_215
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1355,f1193,f77,f9048]) ).

fof(f1193,plain,
    ( spl0_77
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(identity,X1,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X3,X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1355,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,less_equal(X2,divide(identity,X0)),true),true)
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(superposition,[],[f1194,f78]) ).

fof(f1194,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X3,X2),true),true)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f8709,plain,
    ( spl0_214
    | ~ spl0_13
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1276,f1181,f77,f8707]) ).

fof(f8707,plain,
    ( spl0_214
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X2),true,less_equal(divide(X0,X1),X2),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f1181,plain,
    ( spl0_74
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,zero,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1276,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X2),true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_13
    | ~ spl0_74 ),
    inference(superposition,[],[f1182,f78]) ).

fof(f1182,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,zero,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f8705,plain,
    ( spl0_213
    | ~ spl0_13
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1199,f1173,f77,f8703]) ).

fof(f1173,plain,
    ( spl0_72
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,zero),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1199,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,zero),true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_13
    | ~ spl0_72 ),
    inference(superposition,[],[f1174,f78]) ).

fof(f1174,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,zero),true,less_equal(X2,X3),true),true)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f8489,plain,
    ( spl0_212
    | ~ spl0_12
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1739,f1559,f73,f8487]) ).

fof(f1739,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_12
    | ~ spl0_90 ),
    inference(superposition,[],[f1560,f74]) ).

fof(f8485,plain,
    ( spl0_211
    | ~ spl0_12
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f8335,f8198,f73,f8482]) ).

fof(f8198,plain,
    ( spl0_199
  <=> true = ifeq(true,true,quotient(idQa_Q__idQ_idQa,idQa,zero),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f8335,plain,
    ( true = quotient(idQa_Q__idQ_idQa,idQa,zero)
    | ~ spl0_12
    | ~ spl0_199 ),
    inference(superposition,[],[f8200,f74]) ).

fof(f8200,plain,
    ( true = ifeq(true,true,quotient(idQa_Q__idQ_idQa,idQa,zero),true)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f8198]) ).

fof(f8480,plain,
    ( spl0_210
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1713,f1551,f73,f8478]) ).

fof(f1713,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(superposition,[],[f1552,f74]) ).

fof(f8476,plain,
    ( spl0_209
    | ~ spl0_12
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1685,f1547,f73,f8474]) ).

fof(f1685,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_87 ),
    inference(superposition,[],[f1548,f74]) ).

fof(f8472,plain,
    ( spl0_208
    | ~ spl0_12
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1657,f1543,f73,f8470]) ).

fof(f1657,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true)
    | ~ spl0_12
    | ~ spl0_86 ),
    inference(superposition,[],[f1544,f74]) ).

fof(f8468,plain,
    ( spl0_207
    | ~ spl0_12
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1630,f1539,f73,f8466]) ).

fof(f1630,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_85 ),
    inference(superposition,[],[f1540,f74]) ).

fof(f8464,plain,
    ( spl0_206
    | ~ spl0_12
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1601,f1535,f73,f8462]) ).

fof(f1601,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_84 ),
    inference(superposition,[],[f1536,f74]) ).

fof(f8460,plain,
    ( spl0_205
    | ~ spl0_12
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1572,f1531,f73,f8458]) ).

fof(f1572,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true)
    | ~ spl0_12
    | ~ spl0_83 ),
    inference(superposition,[],[f1532,f74]) ).

fof(f8333,plain,
    ( spl0_204
    | ~ spl0_8
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1501,f1404,f57,f8331]) ).

fof(f8331,plain,
    ( spl0_204
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(divide(X1,X0),zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f1501,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(divide(X1,X0),zero),true),true)
    | ~ spl0_8
    | ~ spl0_81 ),
    inference(superposition,[],[f1405,f58]) ).

fof(f8329,plain,
    ( spl0_203
    | ~ spl0_10
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1469,f1400,f65,f8327]) ).

fof(f1469,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X0,divide(X0,X1)),true),true)
    | ~ spl0_10
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f66]) ).

fof(f8325,plain,
    ( spl0_202
    | ~ spl0_10
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1442,f1396,f65,f8323]) ).

fof(f1442,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(divide(X0,X1),zero),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f66]) ).

fof(f8321,plain,
    ( spl0_201
    | ~ spl0_13
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1103,f1060,f77,f8319]) ).

fof(f1060,plain,
    ( spl0_69
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(identity,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1103,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(identity,X1),true,less_equal(divide(X0,X1),zero),true),true)
    | ~ spl0_13
    | ~ spl0_69 ),
    inference(superposition,[],[f1061,f78]) ).

fof(f1061,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(identity,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f8317,plain,
    ( spl0_200
    | ~ spl0_13
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1077,f1056,f77,f8315]) ).

fof(f1077,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(divide(X0,X1),zero),true),true)
    | ~ spl0_13
    | ~ spl0_68 ),
    inference(superposition,[],[f1057,f78]) ).

fof(f8201,plain,
    ( spl0_199
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f511,f466,f81,f8198]) ).

fof(f511,plain,
    ( true = ifeq(true,true,quotient(idQa_Q__idQ_idQa,idQa,zero),true)
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(superposition,[],[f82,f468]) ).

fof(f7985,plain,
    ( spl0_198
    | ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1504,f1404,f48,f7983]) ).

fof(f1504,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_6
    | ~ spl0_81 ),
    inference(superposition,[],[f1405,f50]) ).

fof(f7981,plain,
    ( spl0_197
    | ~ spl0_6
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1474,f1400,f48,f7979]) ).

fof(f1474,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,divide(idQa,X0)),true),true)
    | ~ spl0_6
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f50]) ).

fof(f7977,plain,
    ( spl0_196
    | ~ spl0_5
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1473,f1400,f43,f7975]) ).

fof(f1473,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,divide(identity,X0)),true),true)
    | ~ spl0_5
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f45]) ).

fof(f7973,plain,
    ( spl0_195
    | ~ spl0_4
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1472,f1400,f38,f7971]) ).

fof(f1472,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(X0,a),true,less_equal(idQa,divide(identity,X0)),true),true)
    | ~ spl0_4
    | ~ spl0_80 ),
    inference(superposition,[],[f1401,f40]) ).

fof(f7969,plain,
    ( spl0_194
    | ~ spl0_6
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1447,f1396,f48,f7967]) ).

fof(f1447,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(idQa,X0),idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_6
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f50]) ).

fof(f7965,plain,
    ( spl0_193
    | ~ spl0_5
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1446,f1396,f43,f7963]) ).

fof(f1446,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),idQa),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_5
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f45]) ).

fof(f7961,plain,
    ( spl0_192
    | ~ spl0_4
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1445,f1396,f38,f7959]) ).

fof(f1445,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(divide(identity,X0),a),true,less_equal(idQa,X0),true),true)
    | ~ spl0_4
    | ~ spl0_79 ),
    inference(superposition,[],[f1397,f40]) ).

fof(f7957,plain,
    ( spl0_191
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1042,f898,f77,f7955]) ).

fof(f1042,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),true),true)
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(superposition,[],[f899,f78]) ).

fof(f7953,plain,
    ( spl0_190
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1029,f894,f77,f7951]) ).

fof(f894,plain,
    ( spl0_66
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1029,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,divide(X0,idQa)),true),true)
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(superposition,[],[f895,f78]) ).

fof(f895,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f7949,plain,
    ( spl0_189
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f6195,f6053,f127,f69,f7946]) ).

fof(f7946,plain,
    ( spl0_189
  <=> a = ifeq2(less_equal(a,idQ_idQa),true,idQ_idQa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f6195,plain,
    ( a = ifeq2(less_equal(a,idQ_idQa),true,idQ_idQa,a)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(forward_demodulation,[],[f6119,f70]) ).

fof(f6119,plain,
    ( a = ifeq2(less_equal(a,idQ_idQa),true,ifeq2(true,true,idQ_idQa,a),a)
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(superposition,[],[f128,f6055]) ).

fof(f7944,plain,
    ( spl0_188
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1016,f890,f77,f7942]) ).

fof(f890,plain,
    ( spl0_65
  <=> ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQa,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1016,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQa,divide(X0,a)),true),true)
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(superposition,[],[f891,f78]) ).

fof(f891,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQa,X1),true),true)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f7940,plain,
    ( spl0_187
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1002,f886,f77,f7938]) ).

fof(f1002,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQa_Q__idQ_idQa),true),true)
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(superposition,[],[f887,f78]) ).

fof(f7936,plain,
    ( spl0_186
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f985,f882,f77,f7934]) ).

fof(f882,plain,
    ( spl0_63
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f985,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),idQ_idQa),true),true)
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(superposition,[],[f883,f78]) ).

fof(f883,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f7932,plain,
    ( spl0_185
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f965,f878,f77,f7930]) ).

fof(f878,plain,
    ( spl0_62
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(a,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f965,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(a,X0),true,less_equal(divide(identity,X0),idQa),true),true)
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(superposition,[],[f879,f78]) ).

fof(f879,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(a,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f7928,plain,
    ( spl0_184
    | ~ spl0_13
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f947,f874,f77,f7926]) ).

fof(f947,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(divide(idQa,X0),idQ_idQa),true),true)
    | ~ spl0_13
    | ~ spl0_61 ),
    inference(superposition,[],[f875,f78]) ).

fof(f7924,plain,
    ( spl0_183
    | ~ spl0_13
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f928,f870,f77,f7922]) ).

fof(f870,plain,
    ( spl0_60
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f928,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(divide(identity,X0),idQa),true),true)
    | ~ spl0_13
    | ~ spl0_60 ),
    inference(superposition,[],[f871,f78]) ).

fof(f871,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f7920,plain,
    ( spl0_182
    | ~ spl0_13
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f906,f866,f77,f7918]) ).

fof(f866,plain,
    ( spl0_59
  <=> ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,a),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f906,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(divide(identity,X0),a),true),true)
    | ~ spl0_13
    | ~ spl0_59 ),
    inference(superposition,[],[f867,f78]) ).

fof(f867,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,a),true),true)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f7915,plain,
    ( spl0_181
    | ~ spl0_10
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1275,f1181,f65,f7913]) ).

fof(f7913,plain,
    ( spl0_181
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,less_equal(X0,X1),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1275,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,zero,X1),true,less_equal(X0,X1),true),true)
    | ~ spl0_10
    | ~ spl0_74 ),
    inference(superposition,[],[f1182,f66]) ).

fof(f7870,plain,
    ( spl0_180
    | ~ spl0_6
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1203,f1173,f48,f7868]) ).

fof(f1203,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,X0,zero),true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_6
    | ~ spl0_72 ),
    inference(superposition,[],[f1174,f50]) ).

fof(f7866,plain,
    ( spl0_179
    | ~ spl0_5
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1202,f1173,f43,f7864]) ).

fof(f1202,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_5
    | ~ spl0_72 ),
    inference(superposition,[],[f1174,f45]) ).

fof(f7862,plain,
    ( spl0_178
    | ~ spl0_4
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1201,f1173,f38,f7860]) ).

fof(f1201,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(quotient(identity,X0,zero),true,less_equal(idQa,X0),true),true)
    | ~ spl0_4
    | ~ spl0_72 ),
    inference(superposition,[],[f1174,f40]) ).

fof(f7857,plain,
    ( spl0_177
    | ~ spl0_10
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1151,f1071,f65,f7855]) ).

fof(f7855,plain,
    ( spl0_177
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,X0),true,less_equal(X1,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1151,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,X0),true,less_equal(X1,X0),true),true)
    | ~ spl0_10
    | ~ spl0_71 ),
    inference(superposition,[],[f1072,f66]) ).

fof(f7607,plain,
    ( spl0_176
    | ~ spl0_6
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1107,f1060,f48,f7604]) ).

fof(f1107,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true)
    | ~ spl0_6
    | ~ spl0_69 ),
    inference(superposition,[],[f1061,f50]) ).

fof(f7602,plain,
    ( spl0_175
    | ~ spl0_9
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1041,f898,f61,f7599]) ).

fof(f1041,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,zero),true),true)
    | ~ spl0_9
    | ~ spl0_67 ),
    inference(superposition,[],[f899,f62]) ).

fof(f7597,plain,
    ( spl0_174
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1028,f894,f61,f7594]) ).

fof(f1028,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,idQa),true,less_equal(idQ_idQa,zero),true),true)
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(superposition,[],[f895,f62]) ).

fof(f7592,plain,
    ( spl0_173
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1015,f890,f61,f7589]) ).

fof(f1015,plain,
    ( true = ifeq(true,true,ifeq(less_equal(identity,a),true,less_equal(idQa,zero),true),true)
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(superposition,[],[f891,f62]) ).

fof(f7361,plain,
    ( spl0_172
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1001,f886,f65,f7358]) ).

fof(f1001,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(superposition,[],[f887,f66]) ).

fof(f7356,plain,
    ( spl0_171
    | ~ spl0_10
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f984,f882,f65,f7353]) ).

fof(f984,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_63 ),
    inference(superposition,[],[f883,f66]) ).

fof(f7351,plain,
    ( spl0_170
    | ~ spl0_4
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f980,f882,f38,f7348]) ).

fof(f980,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,a),true,less_equal(idQa,idQ_idQa),true),true)
    | ~ spl0_4
    | ~ spl0_63 ),
    inference(superposition,[],[f883,f40]) ).

fof(f7346,plain,
    ( spl0_169
    | ~ spl0_10
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f964,f878,f65,f7343]) ).

fof(f964,plain,
    ( true = ifeq(true,true,ifeq(less_equal(a,zero),true,less_equal(identity,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_62 ),
    inference(superposition,[],[f879,f66]) ).

fof(f7340,plain,
    ( spl0_168
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f961,f878,f43,f7337]) ).

fof(f7337,plain,
    ( spl0_168
  <=> true = ifeq(true,true,ifeq(less_equal(a,idQa),true,less_equal(idQ_idQa,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f961,plain,
    ( true = ifeq(true,true,ifeq(less_equal(a,idQa),true,less_equal(idQ_idQa,idQa),true),true)
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(superposition,[],[f879,f45]) ).

fof(f7335,plain,
    ( spl0_167
    | ~ spl0_10
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f946,f874,f65,f7332]) ).

fof(f946,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,zero),true,less_equal(idQa,idQ_idQa),true),true)
    | ~ spl0_10
    | ~ spl0_61 ),
    inference(superposition,[],[f875,f66]) ).

fof(f7330,plain,
    ( spl0_166
    | ~ spl0_10
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f927,f870,f65,f7327]) ).

fof(f927,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQ_idQa,zero),true,less_equal(identity,idQa),true),true)
    | ~ spl0_10
    | ~ spl0_60 ),
    inference(superposition,[],[f871,f66]) ).

fof(f7325,plain,
    ( spl0_165
    | ~ spl0_10
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f905,f866,f65,f7322]) ).

fof(f905,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,zero),true,less_equal(identity,a),true),true)
    | ~ spl0_10
    | ~ spl0_59 ),
    inference(superposition,[],[f867,f66]) ).

fof(f7185,plain,
    ( spl0_164
    | ~ spl0_12
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f6396,f6376,f73,f7183]) ).

fof(f6376,plain,
    ( spl0_151
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f6396,plain,
    ( ! [X0] : true = less_equal(divide(X0,idQa),idQ_idQa)
    | ~ spl0_12
    | ~ spl0_151 ),
    inference(superposition,[],[f6377,f74]) ).

fof(f6377,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),idQ_idQa),true)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f6376]) ).

fof(f7181,plain,
    ( spl0_163
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1423,f1392,f69,f7179]) ).

fof(f1423,plain,
    ( ! [X2,X0,X1] : divide(X0,X1) = ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1))
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(superposition,[],[f1393,f70]) ).

fof(f7177,plain,
    ( spl0_162
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1380,f1193,f77,f73,f7175]) ).

fof(f1380,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,less_equal(divide(X0,X1),X2),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f1359,f74]) ).

fof(f1359,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,ifeq(true,true,less_equal(divide(X0,X1),X2),true),true)
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(superposition,[],[f1194,f78]) ).

fof(f6937,plain,
    ( spl0_161
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1263,f1177,f77,f73,f6935]) ).

fof(f6935,plain,
    ( spl0_161
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X2),true,less_equal(X2,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1177,plain,
    ( spl0_73
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X3,X0),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1263,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X2),true,less_equal(X2,X1),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_73 ),
    inference(forward_demodulation,[],[f1238,f74]) ).

fof(f1238,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,identity,X2),true,ifeq(true,true,less_equal(X2,X1),true),true)
    | ~ spl0_13
    | ~ spl0_73 ),
    inference(superposition,[],[f1178,f78]) ).

fof(f1178,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X3,X0),true,less_equal(X2,X3),true),true)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f6933,plain,
    ( spl0_160
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1167,f1071,f73,f34,f6931]) ).

fof(f6931,plain,
    ( spl0_160
  <=> ! [X0,X1] : true = ifeq(quotient(identity,zero,X1),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f34,plain,
    ( spl0_3
  <=> ! [X3] : true = less_equal(X3,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1167,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,zero,X1),true,less_equal(X0,X1),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_71 ),
    inference(forward_demodulation,[],[f1155,f74]) ).

fof(f1155,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,zero,X1),true,ifeq(true,true,less_equal(X0,X1),true),true)
    | ~ spl0_3
    | ~ spl0_71 ),
    inference(superposition,[],[f1072,f35]) ).

fof(f35,plain,
    ( ! [X3] : true = less_equal(X3,identity)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f6579,plain,
    ( spl0_159
    | ~ spl0_12
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f6388,f6372,f73,f6577]) ).

fof(f6372,plain,
    ( spl0_150
  <=> ! [X0] : true = ifeq(true,true,less_equal(divide(X0,a),idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f6388,plain,
    ( ! [X0] : true = less_equal(divide(X0,a),idQa)
    | ~ spl0_12
    | ~ spl0_150 ),
    inference(superposition,[],[f6373,f74]) ).

fof(f6373,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,a),idQa),true)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f6372]) ).

fof(f6472,plain,
    ( spl0_158
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1052,f898,f73,f34,f6470]) ).

fof(f1052,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQ_idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X0),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_67 ),
    inference(forward_demodulation,[],[f1045,f74]) ).

fof(f1045,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQ_idQa,X0),true,ifeq(true,true,less_equal(idQa_Q__idQ_idQa,X0),true),true)
    | ~ spl0_3
    | ~ spl0_67 ),
    inference(superposition,[],[f899,f35]) ).

fof(f6468,plain,
    ( spl0_157
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1039,f894,f73,f34,f6466]) ).

fof(f6466,plain,
    ( spl0_157
  <=> ! [X0] : true = ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1039,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQa,X0),true,less_equal(idQ_idQa,X0),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(forward_demodulation,[],[f1032,f74]) ).

fof(f1032,plain,
    ( ! [X0] : true = ifeq(quotient(identity,idQa,X0),true,ifeq(true,true,less_equal(idQ_idQa,X0),true),true)
    | ~ spl0_3
    | ~ spl0_66 ),
    inference(superposition,[],[f895,f35]) ).

fof(f6464,plain,
    ( spl0_156
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1026,f890,f73,f34,f6462]) ).

fof(f6462,plain,
    ( spl0_156
  <=> ! [X0] : true = ifeq(quotient(identity,a,X0),true,less_equal(idQa,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1026,plain,
    ( ! [X0] : true = ifeq(quotient(identity,a,X0),true,less_equal(idQa,X0),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_65 ),
    inference(forward_demodulation,[],[f1019,f74]) ).

fof(f1019,plain,
    ( ! [X0] : true = ifeq(quotient(identity,a,X0),true,ifeq(true,true,less_equal(idQa,X0),true),true)
    | ~ spl0_3
    | ~ spl0_65 ),
    inference(superposition,[],[f891,f35]) ).

fof(f6460,plain,
    ( spl0_155
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f852,f824,f73,f6458]) ).

fof(f6458,plain,
    ( spl0_155
  <=> ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,less_equal(X1,idQ_idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f824,plain,
    ( spl0_58
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,less_equal(X1,idQ_idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f852,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,less_equal(X1,idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(superposition,[],[f825,f74]) ).

fof(f825,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f6456,plain,
    ( spl0_154
    | ~ spl0_12
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f835,f820,f73,f6454]) ).

fof(f6454,plain,
    ( spl0_154
  <=> ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,less_equal(X1,idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f820,plain,
    ( spl0_57
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,less_equal(X1,idQa),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f835,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,less_equal(X1,idQa),true)
    | ~ spl0_12
    | ~ spl0_57 ),
    inference(superposition,[],[f821,f74]) ).

fof(f821,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,less_equal(X1,idQa),true),true)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f6403,plain,
    ( spl0_153
    | ~ spl0_12
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f812,f804,f73,f6401]) ).

fof(f6401,plain,
    ( spl0_153
  <=> ! [X0,X1] : true = ifeq(less_equal(X0,zero),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f804,plain,
    ( spl0_56
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X1,X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f812,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,zero),true,less_equal(X0,X1),true)
    | ~ spl0_12
    | ~ spl0_56 ),
    inference(superposition,[],[f805,f74]) ).

fof(f805,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X1,X0),true),true)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f6383,plain,
    ( spl0_152
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f527,f466,f127,f69,f6380]) ).

fof(f527,plain,
    ( idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa_Q__idQ_idQa,idQa)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f514,f70]) ).

fof(f514,plain,
    ( idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,ifeq2(true,true,idQa_Q__idQ_idQa,idQa),idQa)
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(superposition,[],[f128,f468]) ).

fof(f6378,plain,
    ( spl0_151
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f856,f824,f77,f73,f6376]) ).

fof(f856,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,idQa),idQ_idQa),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_58 ),
    inference(forward_demodulation,[],[f846,f74]) ).

fof(f846,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,idQa),idQ_idQa),true),true)
    | ~ spl0_13
    | ~ spl0_58 ),
    inference(superposition,[],[f825,f78]) ).

fof(f6374,plain,
    ( spl0_150
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f839,f820,f77,f73,f6372]) ).

fof(f839,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(divide(X0,a),idQa),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_57 ),
    inference(forward_demodulation,[],[f828,f74]) ).

fof(f828,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(true,true,less_equal(divide(X0,a),idQa),true),true)
    | ~ spl0_13
    | ~ spl0_57 ),
    inference(superposition,[],[f821,f78]) ).

fof(f6330,plain,
    ( spl0_149
    | ~ spl0_11
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f795,f728,f69,f6328]) ).

fof(f6328,plain,
    ( spl0_149
  <=> ! [X0,X1] : zero = ifeq2(quotient(zero,X0,X1),true,X1,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f728,plain,
    ( spl0_53
  <=> ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(zero,X0,X1),true,X1,zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f795,plain,
    ( ! [X0,X1] : zero = ifeq2(quotient(zero,X0,X1),true,X1,zero)
    | ~ spl0_11
    | ~ spl0_53 ),
    inference(superposition,[],[f729,f70]) ).

fof(f729,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(zero,X0,X1),true,X1,zero),zero)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f6326,plain,
    ( spl0_148
    | ~ spl0_11
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f779,f724,f69,f6324]) ).

fof(f6324,plain,
    ( spl0_148
  <=> ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,X1,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f724,plain,
    ( spl0_52
  <=> ! [X0,X1] : ifeq2(true,true,ifeq2(quotient(X0,zero,X1),true,X1,X0),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f779,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,X1,X0) = X0
    | ~ spl0_11
    | ~ spl0_52 ),
    inference(superposition,[],[f725,f70]) ).

fof(f725,plain,
    ( ! [X0,X1] : ifeq2(true,true,ifeq2(quotient(X0,zero,X1),true,X1,X0),X0) = X0
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f6322,plain,
    ( spl0_147
    | ~ spl0_11
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f764,f720,f69,f6320]) ).

fof(f6320,plain,
    ( spl0_147
  <=> ! [X0,X1] : zero = ifeq2(quotient(X0,X0,X1),true,X1,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f720,plain,
    ( spl0_51
  <=> ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,X0,X1),true,X1,zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f764,plain,
    ( ! [X0,X1] : zero = ifeq2(quotient(X0,X0,X1),true,X1,zero)
    | ~ spl0_11
    | ~ spl0_51 ),
    inference(superposition,[],[f721,f70]) ).

fof(f721,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,X0,X1),true,X1,zero),zero)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f6318,plain,
    ( spl0_146
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f748,f716,f69,f6316]) ).

fof(f6316,plain,
    ( spl0_146
  <=> ! [X0,X1] : zero = ifeq2(quotient(X0,identity,X1),true,X1,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f716,plain,
    ( spl0_50
  <=> ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,identity,X1),true,X1,zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f748,plain,
    ( ! [X0,X1] : zero = ifeq2(quotient(X0,identity,X1),true,X1,zero)
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(superposition,[],[f717,f70]) ).

fof(f717,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,identity,X1),true,X1,zero),zero)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f6090,plain,
    ( spl0_145
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f710,f688,f69,f6088]) ).

fof(f6088,plain,
    ( spl0_145
  <=> ! [X0] : idQa_Q__idQ_idQa = ifeq2(quotient(idQa,idQ_idQa,X0),true,X0,idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f688,plain,
    ( spl0_49
  <=> ! [X0] : idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(quotient(idQa,idQ_idQa,X0),true,X0,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f710,plain,
    ( ! [X0] : idQa_Q__idQ_idQa = ifeq2(quotient(idQa,idQ_idQa,X0),true,X0,idQa_Q__idQ_idQa)
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(superposition,[],[f689,f70]) ).

fof(f689,plain,
    ( ! [X0] : idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(quotient(idQa,idQ_idQa,X0),true,X0,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f6086,plain,
    ( spl0_144
    | ~ spl0_11
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f702,f684,f69,f6084]) ).

fof(f6084,plain,
    ( spl0_144
  <=> ! [X0] : idQ_idQa = ifeq2(quotient(identity,idQa,X0),true,X0,idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f684,plain,
    ( spl0_48
  <=> ! [X0] : idQ_idQa = ifeq2(true,true,ifeq2(quotient(identity,idQa,X0),true,X0,idQ_idQa),idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f702,plain,
    ( ! [X0] : idQ_idQa = ifeq2(quotient(identity,idQa,X0),true,X0,idQ_idQa)
    | ~ spl0_11
    | ~ spl0_48 ),
    inference(superposition,[],[f685,f70]) ).

fof(f685,plain,
    ( ! [X0] : idQ_idQa = ifeq2(true,true,ifeq2(quotient(identity,idQa,X0),true,X0,idQ_idQa),idQ_idQa)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f6082,plain,
    ( spl0_143
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f694,f675,f69,f6080]) ).

fof(f6080,plain,
    ( spl0_143
  <=> ! [X0] : idQa = ifeq2(quotient(identity,a,X0),true,X0,idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f675,plain,
    ( spl0_46
  <=> ! [X0] : idQa = ifeq2(true,true,ifeq2(quotient(identity,a,X0),true,X0,idQa),idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f694,plain,
    ( ! [X0] : idQa = ifeq2(quotient(identity,a,X0),true,X0,idQa)
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(superposition,[],[f676,f70]) ).

fof(f676,plain,
    ( ! [X0] : idQa = ifeq2(true,true,ifeq2(quotient(identity,a,X0),true,X0,idQa),idQa)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f6064,plain,
    ( spl0_142
    | ~ spl0_11
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f671,f656,f69,f6062]) ).

fof(f6062,plain,
    ( spl0_142
  <=> ! [X0] : ifeq2(less_equal(identity,X0),true,identity,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f656,plain,
    ( spl0_44
  <=> ! [X0] : ifeq2(true,true,ifeq2(less_equal(identity,X0),true,identity,X0),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f671,plain,
    ( ! [X0] : ifeq2(less_equal(identity,X0),true,identity,X0) = X0
    | ~ spl0_11
    | ~ spl0_44 ),
    inference(superposition,[],[f657,f70]) ).

fof(f657,plain,
    ( ! [X0] : ifeq2(true,true,ifeq2(less_equal(identity,X0),true,identity,X0),X0) = X0
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f6060,plain,
    ( spl0_141
    | ~ spl0_11
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f666,f652,f69,f6058]) ).

fof(f6058,plain,
    ( spl0_141
  <=> ! [X0] : zero = ifeq2(less_equal(X0,zero),true,X0,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f652,plain,
    ( spl0_43
  <=> ! [X0] : zero = ifeq2(true,true,ifeq2(less_equal(X0,zero),true,X0,zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f666,plain,
    ( ! [X0] : zero = ifeq2(less_equal(X0,zero),true,X0,zero)
    | ~ spl0_11
    | ~ spl0_43 ),
    inference(superposition,[],[f653,f70]) ).

fof(f653,plain,
    ( ! [X0] : zero = ifeq2(true,true,ifeq2(less_equal(X0,zero),true,X0,zero),zero)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f6056,plain,
    ( spl0_140
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f6050,f6046,f73,f6053]) ).

fof(f6046,plain,
    ( spl0_139
  <=> true = ifeq(true,true,less_equal(idQ_idQa,a),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f6050,plain,
    ( true = less_equal(idQ_idQa,a)
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(superposition,[],[f6048,f74]) ).

fof(f6048,plain,
    ( true = ifeq(true,true,less_equal(idQ_idQa,a),true)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f6046]) ).

fof(f6049,plain,
    ( spl0_139
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f912,f866,f440,f73,f43,f6046]) ).

fof(f440,plain,
    ( spl0_25
  <=> ! [X0] : true = ifeq(true,true,less_equal(X0,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f912,plain,
    ( true = ifeq(true,true,less_equal(idQ_idQa,a),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f911,f74]) ).

fof(f911,plain,
    ( true = ifeq(true,true,ifeq(true,true,less_equal(idQ_idQa,a),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f902,f457]) ).

fof(f457,plain,
    ( ! [X0] : true = less_equal(X0,X0)
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(superposition,[],[f441,f74]) ).

fof(f441,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(X0,X0),true)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f902,plain,
    ( true = ifeq(true,true,ifeq(less_equal(idQa,idQa),true,less_equal(idQ_idQa,a),true),true)
    | ~ spl0_5
    | ~ spl0_59 ),
    inference(superposition,[],[f867,f45]) ).

fof(f5907,plain,
    ( spl0_138
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f340,f334,f77,f5905]) ).

fof(f334,plain,
    ( spl0_24
  <=> ! [X5,X3,X4,X10,X6,X9,X8,X7] : true = ifeq(quotient(X6,X7,X8),true,ifeq(quotient(X9,X5,X10),true,ifeq(quotient(X4,X5,X7),true,ifeq(quotient(X3,X5,X6),true,ifeq(quotient(X3,X4,X9),true,less_equal(X8,X10),true),true),true),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f340,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X3,X1),true,ifeq(quotient(X6,X3,X0),true,ifeq(quotient(X6,X5,X2),true,less_equal(divide(X0,X1),X4),true),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f78]) ).

fof(f335,plain,
    ( ! [X3,X10,X8,X6,X9,X7,X4,X5] : true = ifeq(quotient(X6,X7,X8),true,ifeq(quotient(X9,X5,X10),true,ifeq(quotient(X4,X5,X7),true,ifeq(quotient(X3,X5,X6),true,ifeq(quotient(X3,X4,X9),true,less_equal(X8,X10),true),true),true),true),true)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f5760,plain,
    ( spl0_137
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f339,f334,f65,f5758]) ).

fof(f339,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,zero),true,ifeq(quotient(X5,X2,X0),true,ifeq(quotient(X5,X4,X1),true,less_equal(X0,X3),true),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f66]) ).

fof(f5537,plain,
    ( spl0_136
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f344,f334,f48,f5535]) ).

fof(f344,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQ_idQa),true,ifeq(quotient(X4,X1,idQa),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa_Q__idQ_idQa,X2),true),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f50]) ).

fof(f5237,plain,
    ( spl0_135
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f343,f334,f43,f5235]) ).

fof(f343,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,idQa),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQ_idQa,X2),true),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f45]) ).

fof(f5233,plain,
    ( spl0_134
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f342,f334,f38,f5231]) ).

fof(f342,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X1,a),true,ifeq(quotient(X4,X1,identity),true,ifeq(quotient(X4,X3,X0),true,less_equal(idQa,X2),true),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f40]) ).

fof(f4803,plain,
    ( spl0_133
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f420,f334,f77,f73,f4801]) ).

fof(f420,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(divide(X0,X1),X5,X6),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,less_equal(X4,X6),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f372,f74]) ).

fof(f372,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(divide(X0,X1),X5,X6),true,ifeq(quotient(X1,X5,X3),true,ifeq(quotient(X0,X5,X2),true,ifeq(true,true,less_equal(X4,X6),true),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f78]) ).

fof(f4799,plain,
    ( spl0_132
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f412,f334,f77,f73,f4797]) ).

fof(f412,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X0,X6,X4),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f364,f74]) ).

fof(f364,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(divide(X0,X1),X2,X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(true,true,ifeq(quotient(X0,X6,X4),true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f78]) ).

fof(f4795,plain,
    ( spl0_131
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f404,f334,f77,f73,f4793]) ).

fof(f404,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X0,X4),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f356,f74]) ).

fof(f356,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,divide(X0,X1),X3),true,ifeq(quotient(X4,X1,X5),true,ifeq(true,true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X0,X4),true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f78]) ).

fof(f4791,plain,
    ( spl0_130
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f396,f334,f77,f73,f4789]) ).

fof(f396,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(quotient(X5,X1,X3),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X5,X0),true,less_equal(X4,divide(X0,X1)),true),true),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f348,f74]) ).

fof(f348,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(quotient(X2,X3,X4),true,ifeq(true,true,ifeq(quotient(X5,X1,X3),true,ifeq(quotient(X6,X1,X2),true,ifeq(quotient(X6,X5,X0),true,less_equal(X4,divide(X0,X1)),true),true),true),true),true)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f78]) ).

fof(f4787,plain,
    ( spl0_129
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f590,f582,f73,f4785]) ).

fof(f582,plain,
    ( spl0_38
  <=> ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,X1),X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f590,plain,
    ( ! [X0,X1] : true = less_equal(divide(X0,X1),X0)
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(superposition,[],[f583,f74]) ).

fof(f583,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,X1),X0),true)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f3275,plain,
    ( spl0_128
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f421,f334,f73,f57,f3273]) ).

fof(f421,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f373,f74]) ).

fof(f373,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(zero,X4,X1),true,ifeq(true,true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f58]) ).

fof(f3271,plain,
    ( spl0_127
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f419,f334,f73,f65,f3269]) ).

fof(f419,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X5),true,ifeq(quotient(zero,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f371,f74]) ).

fof(f371,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X0,X4,X5),true,ifeq(quotient(zero,X4,X2),true,ifeq(quotient(X0,X4,X1),true,ifeq(true,true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f66]) ).

fof(f3267,plain,
    ( spl0_126
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f418,f334,f73,f61,f3265]) ).

fof(f418,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f370,f74]) ).

fof(f370,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(X0,X4,X2),true,ifeq(quotient(X0,X4,X1),true,ifeq(true,true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f62]) ).

fof(f3263,plain,
    ( spl0_125
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f417,f334,f73,f53,f3261]) ).

fof(f417,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,less_equal(X3,X5),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f369,f74]) ).

fof(f369,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(zero,X4,X5),true,ifeq(quotient(identity,X4,X2),true,ifeq(quotient(X0,X4,X1),true,ifeq(true,true,less_equal(X3,X5),true),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f54]) ).

fof(f3247,plain,
    ( spl0_124
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f413,f334,f73,f57,f3245]) ).

fof(f413,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(zero,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f365,f74]) ).

fof(f365,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(true,true,ifeq(quotient(zero,X5,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f58]) ).

fof(f3243,plain,
    ( spl0_123
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f411,f334,f73,f65,f3241]) ).

fof(f411,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f363,f74]) ).

fof(f363,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(true,true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f66]) ).

fof(f3239,plain,
    ( spl0_122
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f410,f334,f73,f61,f3237]) ).

fof(f410,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f362,f74]) ).

fof(f362,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(true,true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f62]) ).

fof(f3235,plain,
    ( spl0_121
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f409,f334,f73,f53,f3233]) ).

fof(f409,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f361,f74]) ).

fof(f361,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(zero,X1,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(true,true,ifeq(quotient(X0,X5,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f54]) ).

fof(f3231,plain,
    ( spl0_120
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f405,f334,f73,f57,f3229]) ).

fof(f405,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,zero,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f357,f74]) ).

fof(f357,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(true,true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,zero,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f58]) ).

fof(f3227,plain,
    ( spl0_119
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f403,f334,f73,f65,f3225]) ).

fof(f403,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f355,f74]) ).

fof(f355,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X3,zero,X4),true,ifeq(true,true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f66]) ).

fof(f3223,plain,
    ( spl0_118
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f402,f334,f73,f61,f3221]) ).

fof(f402,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f354,f74]) ).

fof(f354,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,X0,X4),true,ifeq(true,true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f62]) ).

fof(f3219,plain,
    ( spl0_117
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f401,f334,f73,f53,f3217]) ).

fof(f401,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f353,f74]) ).

fof(f353,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,zero,X2),true,ifeq(quotient(X3,identity,X4),true,ifeq(true,true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X0,X3),true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f54]) ).

fof(f3215,plain,
    ( spl0_116
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f397,f334,f73,f57,f3213]) ).

fof(f397,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,zero),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f349,f74]) ).

fof(f349,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,zero),true,less_equal(X3,zero),true),true),true),true),true)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f58]) ).

fof(f3211,plain,
    ( spl0_115
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f395,f334,f73,f65,f3209]) ).

fof(f395,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,zero,X2),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,X0),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f347,f74]) ).

fof(f347,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,zero,X2),true,ifeq(quotient(X5,zero,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,X0),true),true),true),true),true)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f66]) ).

fof(f3185,plain,
    ( spl0_114
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f394,f334,f73,f61,f3183]) ).

fof(f394,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f346,f74]) ).

fof(f346,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,X0,X2),true,ifeq(quotient(X5,X0,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true),true)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f62]) ).

fof(f3181,plain,
    ( spl0_113
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f393,f334,f73,f53,f3179]) ).

fof(f393,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,identity,X2),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f345,f74]) ).

fof(f345,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(quotient(X1,X2,X3),true,ifeq(true,true,ifeq(quotient(X4,identity,X2),true,ifeq(quotient(X5,identity,X1),true,ifeq(quotient(X5,X4,X0),true,less_equal(X3,zero),true),true),true),true),true)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f54]) ).

fof(f2372,plain,
    ( spl0_112
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f424,f334,f73,f48,f2370]) ).

fof(f424,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X3,X4),true,ifeq(quotient(idQ_idQa,X3,X1),true,ifeq(quotient(idQa,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f376,f74]) ).

fof(f376,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa_Q__idQ_idQa,X3,X4),true,ifeq(quotient(idQ_idQa,X3,X1),true,ifeq(quotient(idQa,X3,X0),true,ifeq(true,true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f50]) ).

fof(f2368,plain,
    ( spl0_111
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f423,f334,f73,f43,f2366]) ).

fof(f423,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,X3,X4),true,ifeq(quotient(idQa,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f375,f74]) ).

fof(f375,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQ_idQa,X3,X4),true,ifeq(quotient(idQa,X3,X1),true,ifeq(quotient(identity,X3,X0),true,ifeq(true,true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f45]) ).

fof(f2364,plain,
    ( spl0_110
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f422,f334,f73,f38,f2362]) ).

fof(f422,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,X3,X4),true,ifeq(quotient(a,X3,X1),true,ifeq(quotient(identity,X3,X0),true,less_equal(X2,X4),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f374,f74]) ).

fof(f374,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(idQa,X3,X4),true,ifeq(quotient(a,X3,X1),true,ifeq(quotient(identity,X3,X0),true,ifeq(true,true,less_equal(X2,X4),true),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f40]) ).

fof(f2360,plain,
    ( spl0_109
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f416,f334,f73,f48,f2358]) ).

fof(f416,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(idQa,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f368,f74]) ).

fof(f368,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa_Q__idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(true,true,ifeq(quotient(idQa,X4,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f50]) ).

fof(f2356,plain,
    ( spl0_108
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f415,f334,f73,f43,f2354]) ).

fof(f415,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f367,f74]) ).

fof(f367,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQ_idQa,X0,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(true,true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f45]) ).

fof(f2352,plain,
    ( spl0_107
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f414,f334,f73,f38,f2350]) ).

fof(f414,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f366,f74]) ).

fof(f366,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(true,true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f40]) ).

fof(f2137,plain,
    ( spl0_106
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f408,f334,f73,f48,f2135]) ).

fof(f408,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,idQa,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f360,f74]) ).

fof(f360,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa_Q__idQ_idQa,X1),true,ifeq(quotient(X2,idQ_idQa,X3),true,ifeq(true,true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,idQa,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f50]) ).

fof(f2133,plain,
    ( spl0_105
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f407,f334,f73,f43,f2131]) ).

fof(f407,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f359,f74]) ).

fof(f359,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(quotient(X2,idQa,X3),true,ifeq(true,true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f45]) ).

fof(f2129,plain,
    ( spl0_104
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f406,f334,f73,f38,f2127]) ).

fof(f406,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f358,f74]) ).

fof(f358,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(true,true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,identity,X2),true,less_equal(X1,X3),true),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f40]) ).

fof(f2125,plain,
    ( spl0_103
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f400,f334,f73,f48,f2123]) ).

fof(f400,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f352,f74]) ).

fof(f352,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,idQ_idQa,X1),true,ifeq(quotient(X4,idQ_idQa,X0),true,ifeq(quotient(X4,X3,idQa),true,less_equal(X2,idQa_Q__idQ_idQa),true),true),true),true),true)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f50]) ).

fof(f2121,plain,
    ( spl0_102
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f399,f334,f73,f43,f2119]) ).

fof(f399,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f351,f74]) ).

fof(f351,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,idQa,X1),true,ifeq(quotient(X4,idQa,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQ_idQa),true),true),true),true),true)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f45]) ).

fof(f2117,plain,
    ( spl0_101
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f398,f334,f73,f38,f2115]) ).

fof(f398,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQa),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f350,f74]) ).

fof(f350,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(quotient(X3,a,X1),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(X4,X3,identity),true,less_equal(X2,idQa),true),true),true),true),true)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(superposition,[],[f335,f40]) ).

fof(f1983,plain,
    ( spl0_100
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f288,f194,f77,f1981]) ).

fof(f288,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X2,X0),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f78]) ).

fof(f1979,plain,
    ( spl0_99
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f572,f507,f77,f69,f1977]) ).

fof(f1977,plain,
    ( spl0_99
  <=> ! [X0] : zero = divide(zero,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f507,plain,
    ( spl0_36
  <=> ! [X0,X1] : ifeq2(quotient(zero,X0,X1),true,zero,X1) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f572,plain,
    ( ! [X0] : zero = divide(zero,X0)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f570,f70]) ).

fof(f570,plain,
    ( ! [X0] : divide(zero,X0) = ifeq2(true,true,zero,divide(zero,X0))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(superposition,[],[f508,f78]) ).

fof(f508,plain,
    ( ! [X0,X1] : ifeq2(quotient(zero,X0,X1),true,zero,X1) = X1
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1975,plain,
    ( spl0_98
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f246,f190,f77,f1973]) ).

fof(f246,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X2,X1),true,less_equal(divide(X0,X1),X3),true),true),true)
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f78]) ).

fof(f1971,plain,
    ( spl0_97
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f200,f186,f77,f1969]) ).

fof(f200,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X3,X1),true,less_equal(divide(X0,X1),X2),true),true),true)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f78]) ).

fof(f1780,plain,
    ( spl0_96
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f289,f194,f57,f1778]) ).

fof(f289,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,X0,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f58]) ).

fof(f1776,plain,
    ( spl0_95
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f287,f194,f65,f1774]) ).

fof(f287,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,X0),true),true),true)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f66]) ).

fof(f1772,plain,
    ( spl0_94
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f285,f194,f53,f1770]) ).

fof(f285,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X1,identity,X2),true,ifeq(less_equal(X1,X0),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f54]) ).

fof(f1768,plain,
    ( spl0_93
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f565,f503,f77,f69,f1766]) ).

fof(f503,plain,
    ( spl0_35
  <=> ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,X0,X1) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f565,plain,
    ( ! [X0] : divide(X0,zero) = X0
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f562,f70]) ).

fof(f562,plain,
    ( ! [X0] : divide(X0,zero) = ifeq2(true,true,X0,divide(X0,zero))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(superposition,[],[f504,f78]) ).

fof(f504,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,X0,X1) = X1
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1764,plain,
    ( spl0_92
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f245,f190,f65,f1762]) ).

fof(f245,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X1,zero),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f66]) ).

fof(f1760,plain,
    ( spl0_91
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f199,f186,f65,f1758]) ).

fof(f199,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,zero),true,less_equal(X0,X1),true),true),true)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f66]) ).

fof(f1561,plain,
    ( spl0_90
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f292,f194,f48,f1559]) ).

fof(f292,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f50]) ).

fof(f1557,plain,
    ( spl0_89
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f559,f499,f77,f69,f1555]) ).

fof(f1555,plain,
    ( spl0_89
  <=> ! [X0] : zero = divide(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f499,plain,
    ( spl0_34
  <=> ! [X0,X1] : ifeq2(quotient(X0,X0,X1),true,zero,X1) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f559,plain,
    ( ! [X0] : zero = divide(X0,X0)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f556,f70]) ).

fof(f556,plain,
    ( ! [X0] : divide(X0,X0) = ifeq2(true,true,zero,divide(X0,X0))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(superposition,[],[f500,f78]) ).

fof(f500,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,X0,X1),true,zero,X1) = X1
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1553,plain,
    ( spl0_88
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f250,f190,f48,f1551]) ).

fof(f250,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X0,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f50]) ).

fof(f1549,plain,
    ( spl0_87
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f249,f190,f43,f1547]) ).

fof(f249,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,idQa),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f45]) ).

fof(f1545,plain,
    ( spl0_86
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f248,f190,f38,f1543]) ).

fof(f248,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X0,a),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f40]) ).

fof(f1541,plain,
    ( spl0_85
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f204,f186,f48,f1539]) ).

fof(f204,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true)
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f50]) ).

fof(f1537,plain,
    ( spl0_84
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f203,f186,f43,f1535]) ).

fof(f203,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true),true)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f45]) ).

fof(f1533,plain,
    ( spl0_83
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f202,f186,f38,f1531]) ).

fof(f202,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,a),true,less_equal(idQa,X0),true),true),true)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f40]) ).

fof(f1410,plain,
    ( spl0_82
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f552,f495,f77,f69,f1408]) ).

fof(f1408,plain,
    ( spl0_82
  <=> ! [X0] : zero = divide(X0,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f495,plain,
    ( spl0_33
  <=> ! [X0,X1] : ifeq2(quotient(X0,identity,X1),true,zero,X1) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f552,plain,
    ( ! [X0] : zero = divide(X0,identity)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f549,f70]) ).

fof(f549,plain,
    ( ! [X0] : divide(X0,identity) = ifeq2(true,true,zero,divide(X0,identity))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(superposition,[],[f496,f78]) ).

fof(f496,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,identity,X1),true,zero,X1) = X1
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1406,plain,
    ( spl0_81
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f317,f194,f77,f73,f1404]) ).

fof(f317,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X3),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f296,f74]) ).

fof(f296,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X2,X1,X3),true,ifeq(true,true,ifeq(less_equal(X0,X2),true,less_equal(divide(X0,X1),X3),true),true),true)
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f78]) ).

fof(f1402,plain,
    ( spl0_80
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f274,f190,f77,f73,f1400]) ).

fof(f274,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(X1,X2),true,less_equal(X3,divide(X0,X1)),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f254,f74]) ).

fof(f254,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(true,true,ifeq(less_equal(X1,X2),true,less_equal(X3,divide(X0,X1)),true),true),true)
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f78]) ).

fof(f1398,plain,
    ( spl0_79
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f230,f186,f77,f73,f1396]) ).

fof(f230,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(less_equal(divide(X0,X1),X2),true,less_equal(X3,X1),true),true)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f208,f74]) ).

fof(f208,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X0,X2,X3),true,ifeq(true,true,ifeq(less_equal(divide(X0,X1),X2),true,less_equal(X3,X1),true),true),true)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f78]) ).

fof(f1394,plain,
    ( spl0_78
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f152,f142,f77,f1392]) ).

fof(f152,plain,
    ( ! [X2,X0,X1] : divide(X0,X1) = ifeq2(true,true,ifeq2(quotient(X0,X1,X2),true,X2,divide(X0,X1)),divide(X0,X1))
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f78]) ).

fof(f1195,plain,
    ( spl0_77
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f326,f194,f73,f34,f1193]) ).

fof(f326,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,ifeq(quotient(X0,X1,X3),true,less_equal(X3,X2),true),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f302,f74]) ).

fof(f302,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(identity,X1,X2),true,ifeq(quotient(X0,X1,X3),true,ifeq(true,true,less_equal(X3,X2),true),true),true)
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f35]) ).

fof(f1191,plain,
    ( spl0_76
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f457,f440,f73,f1189]) ).

fof(f1187,plain,
    ( spl0_75
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f280,f190,f73,f34,f1185]) ).

fof(f1185,plain,
    ( spl0_75
  <=> ! [X0,X3,X2,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f280,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X0,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f260,f74]) ).

fof(f260,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X0,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f35]) ).

fof(f1183,plain,
    ( spl0_74
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f279,f190,f73,f30,f1181]) ).

fof(f30,plain,
    ( spl0_2
  <=> ! [X3] : true = less_equal(zero,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f279,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,zero,X3),true,less_equal(X2,X3),true),true)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f259,f74]) ).

fof(f259,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,zero,X3),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f31]) ).

fof(f31,plain,
    ( ! [X3] : true = less_equal(zero,X3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f1179,plain,
    ( spl0_73
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f238,f186,f73,f34,f1177]) ).

fof(f238,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X3,X0),true,less_equal(X2,X3),true),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f214,f74]) ).

fof(f214,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,identity,X2),true,ifeq(quotient(X1,X3,X0),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f35]) ).

fof(f1175,plain,
    ( spl0_72
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f237,f186,f73,f30,f1173]) ).

fof(f237,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,zero),true,less_equal(X2,X3),true),true)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f213,f74]) ).

fof(f213,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(quotient(X1,X0,X2),true,ifeq(quotient(X1,X3,zero),true,ifeq(true,true,less_equal(X2,X3),true),true),true)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f31]) ).

fof(f1073,plain,
    ( spl0_71
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f316,f194,f73,f65,f1071]) ).

fof(f316,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X0,X2),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f295,f74]) ).

fof(f295,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X1,zero,X2),true,ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(X0,X2),true),true),true)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f66]) ).

fof(f1069,plain,
    ( spl0_70
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f275,f190,f73,f57,f1067]) ).

fof(f1067,plain,
    ( spl0_70
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f275,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f255,f74]) ).

fof(f255,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f58]) ).

fof(f1062,plain,
    ( spl0_69
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f269,f190,f73,f53,f1060]) ).

fof(f269,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(identity,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f251,f74]) ).

fof(f251,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(less_equal(identity,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f54]) ).

fof(f1058,plain,
    ( spl0_68
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f229,f186,f73,f65,f1056]) ).

fof(f229,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f207,f74]) ).

fof(f207,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(less_equal(X0,X1),true,less_equal(X2,zero),true),true),true)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f66]) ).

fof(f900,plain,
    ( spl0_67
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f323,f194,f73,f48,f898]) ).

fof(f323,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f300,f74]) ).

fof(f300,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQ_idQa,X1),true,ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(idQa_Q__idQ_idQa,X1),true),true),true)
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f50]) ).

fof(f896,plain,
    ( spl0_66
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f322,f194,f73,f43,f894]) ).

fof(f322,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,X1),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f299,f74]) ).

fof(f299,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQ_idQa,X1),true),true),true)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f45]) ).

fof(f892,plain,
    ( spl0_65
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f321,f194,f73,f38,f890]) ).

fof(f321,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(less_equal(identity,X0),true,less_equal(idQa,X1),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f298,f74]) ).

fof(f298,plain,
    ( ! [X0,X1] : true = ifeq(quotient(X0,a,X1),true,ifeq(true,true,ifeq(less_equal(identity,X0),true,less_equal(idQa,X1),true),true),true)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f40]) ).

fof(f888,plain,
    ( spl0_64
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f278,f190,f73,f48,f886]) ).

fof(f278,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f258,f74]) ).

fof(f258,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f50]) ).

fof(f884,plain,
    ( spl0_63
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f277,f190,f73,f43,f882]) ).

fof(f277,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f257,f74]) ).

fof(f257,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f45]) ).

fof(f880,plain,
    ( spl0_62
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f276,f190,f73,f38,f878]) ).

fof(f276,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(a,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f256,f74]) ).

fof(f256,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(true,true,ifeq(less_equal(a,X0),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(superposition,[],[f191,f40]) ).

fof(f876,plain,
    ( spl0_61
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f236,f186,f73,f48,f874]) ).

fof(f236,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f212,f74]) ).

fof(f212,plain,
    ( ! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQa_Q__idQ_idQa,X0),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f50]) ).

fof(f872,plain,
    ( spl0_60
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f235,f186,f73,f43,f870]) ).

fof(f235,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa),true),true)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f211,f74]) ).

fof(f211,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f45]) ).

fof(f868,plain,
    ( spl0_59
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f234,f186,f73,f38,f866]) ).

fof(f234,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(idQa,X0),true,less_equal(X1,a),true),true)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f210,f74]) ).

fof(f210,plain,
    ( ! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQa,X0),true,less_equal(X1,a),true),true),true)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f40]) ).

fof(f826,plain,
    ( spl0_58
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f309,f194,f73,f43,f34,f824]) ).

fof(f309,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,less_equal(X1,idQ_idQa),true),true)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f308,f74]) ).

fof(f308,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(true,true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f291,f35]) ).

fof(f291,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,idQa,X1),true,ifeq(less_equal(X0,identity),true,less_equal(X1,idQ_idQa),true),true),true)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f45]) ).

fof(f822,plain,
    ( spl0_57
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f307,f194,f73,f38,f34,f820]) ).

fof(f307,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,less_equal(X1,idQa),true),true)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f306,f74]) ).

fof(f306,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(true,true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f290,f35]) ).

fof(f290,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,a,X1),true,ifeq(less_equal(X0,identity),true,less_equal(X1,idQa),true),true),true)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(superposition,[],[f195,f40]) ).

fof(f806,plain,
    ( spl0_56
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f173,f146,f30,f804]) ).

fof(f173,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,zero),true,less_equal(X1,X0),true),true)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(superposition,[],[f147,f31]) ).

fof(f740,plain,
    ( spl0_55
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f493,f479,f77,f69,f737]) ).

fof(f737,plain,
    ( spl0_55
  <=> idQa_Q__idQ_idQa = divide(idQa,idQ_idQa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f479,plain,
    ( spl0_32
  <=> ! [X0] : ifeq2(quotient(idQa,idQ_idQa,X0),true,idQa_Q__idQ_idQa,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f493,plain,
    ( idQa_Q__idQ_idQa = divide(idQa,idQ_idQa)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f491,f70]) ).

fof(f491,plain,
    ( divide(idQa,idQ_idQa) = ifeq2(true,true,idQa_Q__idQ_idQa,divide(idQa,idQ_idQa))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(superposition,[],[f480,f78]) ).

fof(f480,plain,
    ( ! [X0] : ifeq2(quotient(idQa,idQ_idQa,X0),true,idQa_Q__idQ_idQa,X0) = X0
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f734,plain,
    ( spl0_54
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f218,f186,f146,f73,f53,f30,f732]) ).

fof(f732,plain,
    ( spl0_54
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f218,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,true,true),true)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f217,f181]) ).

fof(f181,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,true,true)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f180,f31]) ).

fof(f180,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,less_equal(zero,X1),true)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f175,f74]) ).

fof(f175,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,ifeq(true,true,less_equal(zero,X1),true),true)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(superposition,[],[f147,f31]) ).

fof(f217,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,identity),true,true,true),true),true)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f197,f31]) ).

fof(f197,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(X2,identity),true,less_equal(zero,X1),true),true),true)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f54]) ).

fof(f730,plain,
    ( spl0_53
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f153,f142,f57,f728]) ).

fof(f153,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(zero,X0,X1),true,X1,zero),zero)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f58]) ).

fof(f726,plain,
    ( spl0_52
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f151,f142,f65,f724]) ).

fof(f151,plain,
    ( ! [X0,X1] : ifeq2(true,true,ifeq2(quotient(X0,zero,X1),true,X1,X0),X0) = X0
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f66]) ).

fof(f722,plain,
    ( spl0_51
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f150,f142,f61,f720]) ).

fof(f150,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,X0,X1),true,X1,zero),zero)
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f62]) ).

fof(f718,plain,
    ( spl0_50
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f149,f142,f53,f716]) ).

fof(f149,plain,
    ( ! [X0,X1] : zero = ifeq2(true,true,ifeq2(quotient(X0,identity,X1),true,X1,zero),zero)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f54]) ).

fof(f690,plain,
    ( spl0_49
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f156,f142,f48,f688]) ).

fof(f156,plain,
    ( ! [X0] : idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(quotient(idQa,idQ_idQa,X0),true,X0,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f50]) ).

fof(f686,plain,
    ( spl0_48
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f155,f142,f43,f684]) ).

fof(f155,plain,
    ( ! [X0] : idQ_idQa = ifeq2(true,true,ifeq2(quotient(identity,idQa,X0),true,X0,idQ_idQa),idQ_idQa)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f45]) ).

fof(f682,plain,
    ( spl0_47
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f489,f475,f77,f69,f679]) ).

fof(f475,plain,
    ( spl0_31
  <=> ! [X0] : ifeq2(quotient(identity,idQa,X0),true,idQ_idQa,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f489,plain,
    ( idQ_idQa = divide(identity,idQa)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f487,f70]) ).

fof(f487,plain,
    ( divide(identity,idQa) = ifeq2(true,true,idQ_idQa,divide(identity,idQa))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(superposition,[],[f476,f78]) ).

fof(f476,plain,
    ( ! [X0] : ifeq2(quotient(identity,idQa,X0),true,idQ_idQa,X0) = X0
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f677,plain,
    ( spl0_46
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f154,f142,f38,f675]) ).

fof(f154,plain,
    ( ! [X0] : idQa = ifeq2(true,true,ifeq2(quotient(identity,a,X0),true,X0,idQa),idQa)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f40]) ).

fof(f662,plain,
    ( spl0_45
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f179,f146,f34,f660]) ).

fof(f660,plain,
    ( spl0_45
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,X0),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f179,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,X0),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f174,f35]) ).

fof(f174,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(less_equal(X1,X0),true,less_equal(X1,identity),true),true)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(superposition,[],[f147,f35]) ).

fof(f658,plain,
    ( spl0_44
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f131,f127,f34,f656]) ).

fof(f131,plain,
    ( ! [X0] : ifeq2(true,true,ifeq2(less_equal(identity,X0),true,identity,X0),X0) = X0
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(superposition,[],[f128,f35]) ).

fof(f654,plain,
    ( spl0_43
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f130,f127,f30,f652]) ).

fof(f130,plain,
    ( ! [X0] : zero = ifeq2(true,true,ifeq2(less_equal(X0,zero),true,X0,zero),zero)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(superposition,[],[f128,f31]) ).

fof(f616,plain,
    ( spl0_42
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f233,f186,f73,f57,f30,f614]) ).

fof(f614,plain,
    ( spl0_42
  <=> ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,less_equal(X2,X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f233,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,less_equal(X2,X0),true)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f232,f74]) ).

fof(f232,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(true,true,less_equal(X2,X0),true),true)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f231,f31]) ).

fof(f231,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(less_equal(zero,X1),true,less_equal(X2,X0),true),true)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f209,f74]) ).

fof(f209,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(zero,X1,X2),true,ifeq(true,true,ifeq(less_equal(zero,X1),true,less_equal(X2,X0),true),true),true)
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f58]) ).

fof(f612,plain,
    ( spl0_41
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f168,f142,f77,f69,f610]) ).

fof(f168,plain,
    ( ! [X2,X0,X1] : ifeq2(quotient(X0,X1,X2),true,divide(X0,X1),X2) = X2
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f160,f70]) ).

fof(f160,plain,
    ( ! [X2,X0,X1] : ifeq2(quotient(X0,X1,X2),true,ifeq2(true,true,divide(X0,X1),X2),X2) = X2
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f78]) ).

fof(f608,plain,
    ( spl0_40
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f485,f471,f77,f69,f605]) ).

fof(f605,plain,
    ( spl0_40
  <=> idQa = divide(identity,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f471,plain,
    ( spl0_30
  <=> ! [X0] : ifeq2(quotient(identity,a,X0),true,idQa,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f485,plain,
    ( idQa = divide(identity,a)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f483,f70]) ).

fof(f483,plain,
    ( divide(identity,a) = ifeq2(true,true,idQa,divide(identity,a))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(superposition,[],[f472,f78]) ).

fof(f472,plain,
    ( ! [X0] : ifeq2(quotient(identity,a,X0),true,idQa,X0) = X0
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f588,plain,
    ( spl0_39
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f182,f146,f73,f34,f586]) ).

fof(f586,plain,
    ( spl0_39
  <=> ! [X0,X1] : true = ifeq(less_equal(identity,X1),true,less_equal(X0,X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f182,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(identity,X1),true,less_equal(X0,X1),true)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f176,f74]) ).

fof(f176,plain,
    ( ! [X0,X1] : true = ifeq(less_equal(identity,X1),true,ifeq(true,true,less_equal(X0,X1),true),true)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(superposition,[],[f147,f35]) ).

fof(f584,plain,
    ( spl0_38
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f115,f89,f77,f582]) ).

fof(f89,plain,
    ( spl0_16
  <=> ! [X4,X5,X3] : true = ifeq(quotient(X3,X4,X5),true,less_equal(X5,X3),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f115,plain,
    ( ! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,X1),X0),true)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f90,f78]) ).

fof(f90,plain,
    ( ! [X3,X4,X5] : true = ifeq(quotient(X3,X4,X5),true,less_equal(X5,X3),true)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f546,plain,
    ( spl0_37
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f225,f186,f146,f73,f53,f34,f30,f544]) ).

fof(f544,plain,
    ( spl0_37
  <=> ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f225,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,true,true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f224,f181]) ).

fof(f224,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(zero,X1),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f223,f35]) ).

fof(f223,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(less_equal(zero,X1),true,less_equal(X2,identity),true),true)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f205,f74]) ).

fof(f205,plain,
    ( ! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,ifeq(true,true,ifeq(less_equal(zero,X1),true,less_equal(X2,identity),true),true),true)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f187,f54]) ).

fof(f509,plain,
    ( spl0_36
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f169,f142,f69,f57,f507]) ).

fof(f169,plain,
    ( ! [X0,X1] : ifeq2(quotient(zero,X0,X1),true,zero,X1) = X1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f161,f70]) ).

fof(f161,plain,
    ( ! [X0,X1] : ifeq2(quotient(zero,X0,X1),true,ifeq2(true,true,zero,X1),X1) = X1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f58]) ).

fof(f505,plain,
    ( spl0_35
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f167,f142,f69,f65,f503]) ).

fof(f167,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,X0,X1) = X1
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f159,f70]) ).

fof(f159,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,zero,X1),true,ifeq2(true,true,X0,X1),X1) = X1
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f66]) ).

fof(f501,plain,
    ( spl0_34
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f166,f142,f69,f61,f499]) ).

fof(f166,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,X0,X1),true,zero,X1) = X1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f158,f70]) ).

fof(f158,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,X0,X1),true,ifeq2(true,true,zero,X1),X1) = X1
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f62]) ).

fof(f497,plain,
    ( spl0_33
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f165,f142,f69,f53,f495]) ).

fof(f165,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,identity,X1),true,zero,X1) = X1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f157,f70]) ).

fof(f157,plain,
    ( ! [X0,X1] : ifeq2(quotient(X0,identity,X1),true,ifeq2(true,true,zero,X1),X1) = X1
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f54]) ).

fof(f481,plain,
    ( spl0_32
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f172,f142,f69,f48,f479]) ).

fof(f172,plain,
    ( ! [X0] : ifeq2(quotient(idQa,idQ_idQa,X0),true,idQa_Q__idQ_idQa,X0) = X0
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f164,f70]) ).

fof(f164,plain,
    ( ! [X0] : ifeq2(quotient(idQa,idQ_idQa,X0),true,ifeq2(true,true,idQa_Q__idQ_idQa,X0),X0) = X0
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f50]) ).

fof(f477,plain,
    ( spl0_31
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f171,f142,f69,f43,f475]) ).

fof(f171,plain,
    ( ! [X0] : ifeq2(quotient(identity,idQa,X0),true,idQ_idQa,X0) = X0
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f163,f70]) ).

fof(f163,plain,
    ( ! [X0] : ifeq2(quotient(identity,idQa,X0),true,ifeq2(true,true,idQ_idQa,X0),X0) = X0
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f45]) ).

fof(f473,plain,
    ( spl0_30
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f170,f142,f69,f38,f471]) ).

fof(f170,plain,
    ( ! [X0] : ifeq2(quotient(identity,a,X0),true,idQa,X0) = X0
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f162,f70]) ).

fof(f162,plain,
    ( ! [X0] : ifeq2(quotient(identity,a,X0),true,ifeq2(true,true,idQa,X0),X0) = X0
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(superposition,[],[f143,f40]) ).

fof(f469,plain,
    ( spl0_29
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f331,f137,f73,f466]) ).

fof(f137,plain,
    ( spl0_18
  <=> true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,idQa),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f331,plain,
    ( true = less_equal(idQa_Q__idQ_idQa,idQa)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(superposition,[],[f139,f74]) ).

fof(f139,plain,
    ( true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,idQa),true)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f454,plain,
    ( spl0_28
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f181,f146,f73,f30,f452]) ).

fof(f452,plain,
    ( spl0_28
  <=> ! [X0,X1] : true = ifeq(less_equal(X0,X1),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f450,plain,
    ( spl0_27
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f135,f127,f69,f34,f448]) ).

fof(f448,plain,
    ( spl0_27
  <=> ! [X0] : identity = ifeq2(less_equal(identity,X0),true,X0,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f135,plain,
    ( ! [X0] : identity = ifeq2(less_equal(identity,X0),true,X0,identity)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f133,f70]) ).

fof(f133,plain,
    ( ! [X0] : identity = ifeq2(less_equal(identity,X0),true,ifeq2(true,true,X0,identity),identity)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(superposition,[],[f128,f35]) ).

fof(f446,plain,
    ( spl0_26
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f134,f127,f69,f30,f444]) ).

fof(f134,plain,
    ( ! [X0] : ifeq2(less_equal(X0,zero),true,zero,X0) = X0
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f132,f70]) ).

fof(f132,plain,
    ( ! [X0] : ifeq2(less_equal(X0,zero),true,ifeq2(true,true,zero,X0),X0) = X0
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(superposition,[],[f128,f31]) ).

fof(f442,plain,
    ( spl0_25
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f103,f85,f61,f440]) ).

fof(f85,plain,
    ( spl0_15
  <=> ! [X4,X3] : true = ifeq(quotient(X3,X4,zero),true,less_equal(X3,X4),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f103,plain,
    ( ! [X0] : true = ifeq(true,true,less_equal(X0,X0),true)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f86,f62]) ).

fof(f86,plain,
    ( ! [X3,X4] : true = ifeq(quotient(X3,X4,zero),true,less_equal(X3,X4),true)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f336,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f6,f334]) ).

fof(f6,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] : true = ifeq(quotient(X6,X7,X8),true,ifeq(quotient(X9,X5,X10),true,ifeq(quotient(X4,X5,X7),true,ifeq(quotient(X3,X5,X6),true,ifeq(quotient(X3,X4,X9),true,less_equal(X8,X10),true),true),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f196,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f19,f194]) ).

fof(f19,axiom,
    ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X4,X5,X12),true,ifeq(quotient(X3,X5,X13),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).

fof(f192,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f18,f190]) ).

fof(f18,axiom,
    ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X5,X4,X13),true,ifeq(quotient(X5,X3,X12),true,ifeq(less_equal(X3,X4),true,less_equal(X13,X12),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).

fof(f188,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f17,f186]) ).

fof(f17,axiom,
    ! [X3,X4,X5,X12,X13] : true = ifeq(quotient(X3,X5,X12),true,ifeq(quotient(X3,X4,X13),true,ifeq(less_equal(X13,X5),true,less_equal(X12,X4),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).

fof(f148,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f16,f146]) ).

fof(f16,axiom,
    ! [X3,X4,X5] : true = ifeq(less_equal(X4,X5),true,ifeq(less_equal(X3,X4),true,less_equal(X3,X5),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).

fof(f144,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f11,f142]) ).

fof(f11,axiom,
    ! [X3,X11,X4,X5] : ifeq2(quotient(X3,X4,X11),true,ifeq2(quotient(X3,X4,X5),true,X5,X11),X11) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_defined) ).

fof(f140,plain,
    ( spl0_18
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f119,f89,f48,f137]) ).

fof(f119,plain,
    ( true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,idQa),true)
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(superposition,[],[f90,f50]) ).

fof(f129,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f8,f127]) ).

fof(f8,axiom,
    ! [X3,X4] : ifeq2(less_equal(X4,X3),true,ifeq2(less_equal(X3,X4),true,X3,X4),X4) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).

fof(f91,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f5,f89]) ).

fof(f5,axiom,
    ! [X3,X4,X5] : true = ifeq(quotient(X3,X4,X5),true,less_equal(X5,X3),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_existence) ).

fof(f87,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f4,f85]) ).

fof(f4,axiom,
    ! [X3,X4] : true = ifeq(quotient(X3,X4,zero),true,less_equal(X3,X4),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).

fof(f83,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f3,f81]) ).

fof(f3,axiom,
    ! [X3,X4] : true = ifeq(less_equal(X3,X4),true,quotient(X3,X4,zero),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).

fof(f79,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f10,f77]) ).

fof(f10,axiom,
    ! [X3,X4] : true = quotient(X3,X4,divide(X3,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).

fof(f75,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f2,f73]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f71,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f1,f69]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f67,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f15,f65]) ).

fof(f15,axiom,
    ! [X3] : true = quotient(X3,zero,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).

fof(f63,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f14,f61]) ).

fof(f14,axiom,
    ! [X3] : true = quotient(X3,X3,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).

fof(f59,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f13,f57]) ).

fof(f13,axiom,
    ! [X3] : true = quotient(zero,X3,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).

fof(f55,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f12,f53]) ).

fof(f12,axiom,
    ! [X3] : true = quotient(X3,identity,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_divide_identity_is_zero) ).

fof(f51,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f22,f48]) ).

fof(f22,axiom,
    true = quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).

fof(f46,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f21,f43]) ).

fof(f21,axiom,
    true = quotient(identity,idQa,idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).

fof(f41,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f20,f38]) ).

fof(f20,axiom,
    true = quotient(identity,a,idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).

fof(f36,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f9,f34]) ).

fof(f9,axiom,
    ! [X3] : true = less_equal(X3,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).

fof(f32,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f30]) ).

fof(f7,axiom,
    ! [X3] : true = less_equal(zero,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f28,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f23,f25]) ).

fof(f23,axiom,
    idQa != idQa_Q__idQ_idQa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HEN010-10 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 12:37:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (13305)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (13308)WARNING: value z3 for option sas not known
% 0.21/0.37  % (13310)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37  % (13308)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (13311)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37  % (13307)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (13306)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (13312)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37  % (13309)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.40  TRYING [3]
% 0.21/0.44  TRYING [3]
% 2.33/0.70  TRYING [4]
% 2.33/0.71  TRYING [4]
% 3.70/0.87  TRYING [1]
% 3.70/0.87  TRYING [2]
% 3.70/0.88  TRYING [3]
% 5.23/1.11  TRYING [4]
% 9.07/1.65  % (13310)First to succeed.
% 9.47/1.69  % (13310)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13305"
% 9.47/1.70  % (13310)Refutation found. Thanks to Tanya!
% 9.47/1.70  % SZS status Unsatisfiable for theBenchmark
% 9.47/1.70  % SZS output start Proof for theBenchmark
% See solution above
% 9.47/1.72  % (13310)------------------------------
% 9.47/1.72  % (13310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 9.47/1.72  % (13310)Termination reason: Refutation
% 9.47/1.72  
% 9.47/1.72  % (13310)Memory used [KB]: 40233
% 9.47/1.72  % (13310)Time elapsed: 1.321 s
% 9.47/1.72  % (13310)Instructions burned: 4074 (million)
% 9.47/1.72  % (13305)Success in time 1.339 s
%------------------------------------------------------------------------------