%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM507+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 08:34:21 EDT 2024

% Result   : Theorem 48.80s 7.29s
% Output   : Refutation 49.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      : 1591
% Syntax   : Number of formulae    : 5851 ( 175 unt;   0 def)
%            Number of atoms       : 27850 (5377 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives : 39061 (17062   ~;19952   |; 425   &)
%                                         (1539 <=>;  83  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  : 1535 (1533 usr;1523 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  14 con; 0-2 aty)
%            Number of variables   : 4588 (4504   !;  84   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102422,plain,
    $false,
    inference(avatar_sat_refutation,[],[f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f514,f533,f538,f543,f548,f553,f559,f564,f570,f575,f580,f584,f588,f593,f603,f607,f611,f615,f619,f623,f628,f632,f636,f640,f645,f649,f655,f661,f667,f673,f677,f681,f686,f691,f696,f701,f705,f709,f714,f718,f722,f726,f730,f734,f738,f742,f750,f862,f866,f894,f898,f902,f906,f910,f923,f927,f932,f938,f942,f946,f950,f954,f958,f962,f966,f971,f975,f1065,f1069,f1073,f1077,f1081,f1085,f1089,f1093,f1100,f1120,f1124,f1128,f1132,f1136,f1140,f1203,f1207,f1211,f1215,f1270,f1274,f1286,f1290,f1296,f1328,f1332,f1360,f1364,f1370,f1374,f1378,f1469,f1473,f1479,f1483,f1487,f1491,f1600,f1617,f1621,f1651,f1655,f1681,f1686,f1694,f1708,f1716,f1741,f1746,f1763,f1771,f1776,f1781,f1786,f1791,f1796,f1801,f1806,f1807,f1825,f1830,f1835,f1840,f1845,f1850,f1855,f1860,f1865,f1870,f1875,f1880,f1885,f1890,f1895,f1900,f1905,f1910,f1915,f1920,f1927,f1932,f1937,f1942,f1947,f1952,f1957,f1962,f1967,f1972,f1977,f1982,f1987,f1992,f1997,f2002,f2007,f2012,f2017,f2022,f2027,f2032,f2037,f2042,f2047,f2052,f2057,f2062,f2067,f2072,f2077,f2082,f2108,f2113,f2118,f2123,f2128,f2133,f2138,f2143,f2148,f2153,f2179,f2184,f2189,f2194,f2199,f2313,f2926,f3121,f3325,f3525,f3662,f3667,f3672,f3696,f3701,f3706,f3711,f3716,f3914,f3918,f3922,f3933,f3973,f3977,f3981,f3985,f4088,f4112,f4116,f4120,f4124,f4128,f4132,f4136,f4140,f4144,f4148,f4153,f4157,f4161,f4165,f4169,f4173,f4177,f4181,f4185,f4189,f4193,f4203,f4207,f4211,f4216,f4375,f4679,f4962,f4967,f4971,f4975,f4979,f4983,f4987,f4991,f4995,f4999,f5003,f5008,f5234,f5239,f5244,f5249,f5254,f5260,f5265,f5269,f5273,f5277,f5281,f5285,f5323,f5351,f5375,f5399,f5423,f5428,f5452,f5476,f5499,f5503,f5507,f5511,f5515,f5520,f5524,f5528,f5532,f5536,f5540,f5661,f5680,f5755,f5762,f5768,f5780,f5781,f5796,f5800,f5807,f5818,f5829,f5841,f5845,f5849,f5853,f5857,f5862,f5866,f5870,f5874,f5878,f5882,f5886,f5890,f5896,f5916,f5934,f5940,f5946,f5951,f5961,f5965,f5969,f5973,f5977,f5981,f5985,f5989,f5993,f5998,f6002,f6006,f6010,f6014,f6143,f6297,f6303,f6308,f6334,f6343,f6362,f6370,f6374,f6384,f6394,f6404,f6410,f6416,f6421,f6427,f6433,f6440,f6468,f6476,f6481,f6489,f6497,f6503,f6507,f6511,f6515,f6519,f6554,f6558,f6562,f6566,f6570,f6574,f6578,f6582,f6586,f6596,f6832,f6902,f6906,f6910,f6914,f6918,f6922,f6927,f6931,f6935,f6939,f6943,f6947,f6951,f6955,f6959,f6963,f6967,f6972,f6976,f6980,f6984,f6988,f6992,f6996,f7000,f7004,f7008,f7012,f7017,f7024,f7031,f7038,f7045,f7052,f7057,f7065,f7077,f7225,f7626,f8025,f8029,f8033,f8037,f8041,f8045,f8049,f8053,f8057,f8061,f8065,f8097,f8101,f8105,f8109,f8113,f8117,f8490,f8602,f8607,f8613,f8627,f8632,f8652,f8688,f8708,f8712,f8716,f8720,f8724,f8728,f8732,f8736,f8769,f8773,f8777,f8781,f8785,f8789,f8793,f8797,f8801,f8805,f8839,f8843,f8891,f9217,f9228,f9234,f9263,f9269,f9297,f9310,f9318,f9391,f9428,f9465,f9502,f9538,f9547,f9573,f9599,f9625,f9650,f9674,f9699,f9723,f9747,f9771,f9775,f9800,f9824,f9849,f9853,f9857,f9861,f9897,f9901,f9905,f9909,f9913,f9917,f9921,f9925,f9929,f9933,f9969,f9973,f9977,f9981,f9985,f9989,f9993,f9997,f10001,f10005,f10039,f11004,f11008,f11012,f11016,f11044,f11048,f11083,f11118,f11122,f11126,f11130,f11134,f11162,f11559,f11563,f11567,f11571,f11575,f11579,f11603,f12322,f12372,f12392,f12398,f12650,f12665,f12666,f12667,f12695,f12712,f12725,f12730,f12731,f12946,f13067,f13072,f13084,f13089,f13102,f13124,f13294,f13298,f13303,f13314,f13421,f13462,f13468,f13802,f13806,f14020,f14025,f14030,f14070,f14079,f14088,f14094,f14144,f14150,f14193,f14199,f14243,f14247,f14251,f14256,f14260,f14266,f14303,f14309,f14346,f14352,f14389,f14396,f14400,f14437,f14441,f15024,f15030,f15035,f15083,f15131,f15177,f15221,f15266,f15271,f15341,f15345,f15349,f15353,f15357,f15361,f15365,f15370,f15496,f15502,f15512,f15518,f15530,f15535,f15909,f15916,f15958,f15963,f16120,f16125,f16293,f16298,f16532,f16537,f16541,f16545,f16550,f16600,f16605,f16655,f16661,f16665,f16712,f16717,f16764,f16769,f16823,f16828,f16833,f16889,f16894,f16947,f16991,f17036,f17157,f17205,f17257,f17263,f17273,f17278,f17460,f17465,f17648,f17654,f17666,f17670,f17674,f17678,f17682,f17687,f17691,f17695,f17700,f17966,f17970,f17977,f18165,f18170,f18210,f18215,f18255,f18260,f18264,f18268,f18272,f18432,f18437,f18548,f18552,f18559,f18569,f18573,f18577,f18581,f18585,f18589,f18594,f18600,f18606,f18649,f18655,f18660,f18704,f18710,f18753,f18759,f18803,f18807,f18811,f18816,f18820,f18824,f19110,f19116,f19161,f19165,f19169,f19173,f19177,f19181,f19185,f19189,f19194,f19419,f19424,f19428,f19435,f19445,f19450,f19762,f19977,f19981,f19987,f20030,f20036,f20081,f20085,f20091,f20134,f20140,f20273,f20282,f20293,f20297,f20306,f20316,f20324,f20334,f20342,f20360,f20365,f20369,f20373,f20377,f20381,f20385,f20389,f20394,f20788,f21093,f21102,f21184,f21189,f21229,f21233,f21238,f21277,f21282,f21443,f21450,f21460,f21466,f21470,f21509,f21514,f21553,f21561,f21698,f21705,f21710,f21893,f21897,f21901,f21908,f22435,f22443,f22448,f22616,f22625,f22784,f22793,f22956,f22960,f22969,f22973,f23196,f23200,f23211,f23216,f23227,f23232,f23243,f23247,f23252,f23262,f23277,f23281,f23285,f23289,f25510,f25516,f25683,f25689,f25880,f25943,f25947,f25951,f25955,f25960,f26371,f26376,f27731,f27736,f27897,f27902,f28711,f28786,f28791,f29448,f29453,f29463,f30263,f30267,f30271,f30286,f30508,f30512,f30516,f30543,f30726,f30730,f30734,f30738,f30742,f30746,f30972,f30976,f31111,f31119,f31190,f31204,f31282,f31286,f31290,f31294,f31519,f31527,f31531,f31535,f31539,f31764,f31772,f31780,f31784,f32234,f32239,f32510,f32515,f32786,f32791,f33120,f33125,f33389,f33398,f33531,f33541,f33731,f33741,f34598,f34604,f34611,f34616,f34819,f34824,f34829,f34834,f34839,f35137,f35148,f35155,f35160,f35233,f35240,f35309,f35314,f35388,f37702,f38033,f38037,f38123,f38221,f38246,f38271,f38296,f38321,f38346,f38367,f38372,f38377,f38458,f38459,f38463,f38468,f38473,f38480,f38484,f38536,f38542,f38632,f38638,f38725,f38732,f38737,f38814,f38821,f38897,f38903,f38945,f38951,f38990,f38995,f39001,f39044,f39050,f39094,f39103,f39151,f39156,f39161,f39166,f39172,f39221,f39226,f39231,f39236,f39298,f39362,f39367,f39372,f39378,f39426,f39432,f39489,f39496,f39502,f39561,f39567,f39631,f39637,f39697,f48297,f48375,f48906,f48915,f49063,f49064,f49068,f49072,f49255,f49261,f49267,f49273,f49279,f49285,f49291,f49365,f49371,f49377,f49383,f49389,f49395,f49401,f49407,f49474,f49483,f49489,f49506,f49512,f49707,f49713,f49718,f49929,f49935,f50134,f50140,f50442,f50637,f51473,f51520,f53145,f57969,f58902,f59271,f59275,f59279,f59321,f59397,f59401,f59413,f59421,f59425,f59430,f59442,f59446,f59450,f59454,f59603,f59607,f59611,f59615,f59619,f59765,f59769,f59774,f60304,f60313,f60351,f60355,f60359,f60364,f60439,f60517,f60592,f60597,f60671,f60722,f62547,f62555,f62561,f62629,f62635,f62706,f62712,f62783,f62789,f62860,f62866,f62934,f62940,f63008,f63014,f63085,f63091,f63098,f63104,f63186,f63192,f63277,f63283,f63365,f63371,f63456,f63462,f63544,f63550,f63632,f63638,f63720,f63726,f63811,f63817,f63822,f63904,f63910,f63992,f63998,f64004,f64070,f64354,f66562,f66569,f66570,f66587,f66588,f66593,f66594,f66599,f66604,f66609,f66614,f66619,f66624,f66629,f66634,f66722,f66728,f66735,f66739,f66744,f66751,f66757,f66762,f66769,f66774,f66779,f66784,f66789,f66794,f66799,f66804,f66809,f66815,f66822,f66826,f66831,f66836,f66841,f66846,f66852,f66857,f66862,f66867,f66872,f66964,f66969,f66974,f66979,f66984,f66988,f66992,f66996,f67001,f67006,f67011,f67181,f67299,f67420,f67424,f67429,f67435,f67443,f67480,f67517,f67554,f67592,f67596,f67633,f67906,f67911,f68469,f68470,f69458,f69462,f69467,f69472,f69477,f69482,f69487,f69535,f69539,f69586,f69637,f69688,f69697,f69816,f69872,f69878,f69888,f69894,f69928,f70191,f70196,f70202,f70207,f70212,f70217,f70221,f70225,f70229,f70234,f71854,f71924,f73277,f73282,f73286,f73290,f73302,f73306,f74384,f74389,f74394,f74580,f74589,f74593,f74691,f74819,f74921,f75089,f75221,f75592,f75598,f75699,f75705,f75775,f75781,f75850,f75856,f75860,f75912,f77308,f77570,f77574,f77578,f77635,f77643,f77736,f77742,f77814,f77819,f77824,f77829,f77836,f77843,f77848,f77854,f77859,f77864,f77869,f77875,f77880,f77885,f77890,f77895,f77900,f77905,f77911,f77916,f77921,f77929,f77934,f77939,f77944,f77949,f77954,f77959,f77964,f77970,f77975,f77980,f77994,f78001,f78016,f78023,f78029,f78038,f78051,f78058,f78063,f78077,f78086,f78091,f78096,f78109,f78118,f78123,f78770,f78775,f78788,f78795,f78805,f78812,f78818,f78824,f78835,f80221,f80226,f80237,f80242,f80262,f80274,f80279,f80284,f80298,f80309,f80314,f80319,f80328,f80337,f80342,f80347,f80356,f80362,f80371,f80375,f80384,f82269,f82274,f82491,f82496,f82501,f82543,f82550,f82555,f82561,f82566,f82571,f82576,f82581,f82582,f83927,f83932,f92134,f92139,f92248,f92758,f92764,f92773,f92778,f92785,f92805,f92911,f92922,f92967,f93010,f93067,f93124,f93129,f93197,f93232,f93237,f93980,f93985,f93990,f94028,f94050,f94059,f94165,f94272,f94392,f94396,f94412,f94469,f94524,f94752,f94800,f94846,f95162,f95172,f95182,f95194,f95204,f95208,f95220,f95594,f95729,f95733,f95737,f95741,f95745,f95749,f95758,f96220,f96226,f96375,f96379,f96383,f96387,f97065,f97077,f97086,f97370,f97380,f97413,f97418,f97419,f97464,f97732,f97814,f97857,f97862,f97872,f97978,f97989,f98030,f98069,f98118,f98165,f98171,f98177,f98186,f98199,f98204,f98584,f98589,f98594,f98599,f98604,f98609,f98614,f99225,f99230,f99300,f99400,f99500,f99594,f99694,f99839,f99844,f99849,f99854,f99859,f99864,f99869,f99874,f99879,f99884,f99885,f100159,f100506,f100513,f100518,f100711,f100716,f100721,f100726,f100731,f101151,f101156,f101163,f101168,f101173,f101178,f101183,f101188,f101193,f101198,f101203,f101208,f101213,f101218,f101222,f101226,f101230,f101234,f101239,f101465,f101996,f102001,f102006,f102011,f102016,f102021,f102026,f102031,f102036,f102041,f102046,f102051,f102056,f102061,f102062,f102256,f102373,f102380,f102385,f102390,f102395,f102400,f102405,f102410,f102415,f102420,f102421]) ).

fof(f102421,plain,
    ( ~ spl21_277
    | ~ spl21_152
    | spl21_297 ),
    inference(avatar_split_clause,[],[f102098,f5251,f1752,f4213]) ).

fof(f4213,plain,
    ( spl21_277
  <=> sdtlseqdt0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_277])]) ).

fof(f1752,plain,
    ( spl21_152
  <=> xp = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_152])]) ).

fof(f5251,plain,
    ( spl21_297
  <=> sdtlseqdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_297])]) ).

fof(f102098,plain,
    ( ~ sdtlseqdt0(xr,xk)
    | ~ spl21_152
    | spl21_297 ),
    inference(superposition,[],[f5253,f1754]) ).

fof(f1754,plain,
    ( xp = xr
    | ~ spl21_152 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f5253,plain,
    ( ~ sdtlseqdt0(xp,xk)
    | spl21_297 ),
    inference(avatar_component_clause,[],[f5251]) ).

fof(f102420,plain,
    ( spl21_1522
    | ~ spl21_152
    | ~ spl21_296 ),
    inference(avatar_split_clause,[],[f102097,f5246,f1752,f102417]) ).

fof(f102417,plain,
    ( spl21_1522
  <=> iLess0(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1522])]) ).

fof(f5246,plain,
    ( spl21_296
  <=> iLess0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_296])]) ).

fof(f102097,plain,
    ( iLess0(xk,xr)
    | ~ spl21_152
    | ~ spl21_296 ),
    inference(superposition,[],[f5248,f1754]) ).

fof(f5248,plain,
    ( iLess0(xk,xp)
    | ~ spl21_296 ),
    inference(avatar_component_clause,[],[f5246]) ).

fof(f102415,plain,
    ( spl21_1521
    | ~ spl21_152
    | ~ spl21_295 ),
    inference(avatar_split_clause,[],[f102096,f5241,f1752,f102412]) ).

fof(f102412,plain,
    ( spl21_1521
  <=> iLess0(xm,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1521])]) ).

fof(f5241,plain,
    ( spl21_295
  <=> iLess0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_295])]) ).

fof(f102096,plain,
    ( iLess0(xm,xr)
    | ~ spl21_152
    | ~ spl21_295 ),
    inference(superposition,[],[f5243,f1754]) ).

fof(f5243,plain,
    ( iLess0(xm,xp)
    | ~ spl21_295 ),
    inference(avatar_component_clause,[],[f5241]) ).

fof(f102410,plain,
    ( spl21_1520
    | ~ spl21_152
    | ~ spl21_294 ),
    inference(avatar_split_clause,[],[f102095,f5236,f1752,f102407]) ).

fof(f102407,plain,
    ( spl21_1520
  <=> iLess0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1520])]) ).

fof(f5236,plain,
    ( spl21_294
  <=> iLess0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_294])]) ).

fof(f102095,plain,
    ( iLess0(xn,xr)
    | ~ spl21_152
    | ~ spl21_294 ),
    inference(superposition,[],[f5238,f1754]) ).

fof(f5238,plain,
    ( iLess0(xn,xp)
    | ~ spl21_294 ),
    inference(avatar_component_clause,[],[f5236]) ).

fof(f102405,plain,
    ( spl21_1519
    | ~ spl21_152
    | ~ spl21_153 ),
    inference(avatar_split_clause,[],[f102087,f1756,f1752,f102402]) ).

fof(f102402,plain,
    ( spl21_1519
  <=> sdtlseqdt0(xr,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1519])]) ).

fof(f1756,plain,
    ( spl21_153
  <=> sdtlseqdt0(xr,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_153])]) ).

fof(f102087,plain,
    ( sdtlseqdt0(xr,xr)
    | ~ spl21_152
    | ~ spl21_153 ),
    inference(superposition,[],[f1757,f1754]) ).

fof(f1757,plain,
    ( sdtlseqdt0(xr,xp)
    | ~ spl21_153 ),
    inference(avatar_component_clause,[],[f1756]) ).

fof(f102400,plain,
    ( ~ spl21_1518
    | spl21_33
    | ~ spl21_152 ),
    inference(avatar_split_clause,[],[f102076,f1752,f502,f102397]) ).

fof(f102397,plain,
    ( spl21_1518
  <=> sdtlseqdt0(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1518])]) ).

fof(f502,plain,
    ( spl21_33
  <=> sdtlseqdt0(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).

fof(f102076,plain,
    ( ~ sdtlseqdt0(xr,xn)
    | spl21_33
    | ~ spl21_152 ),
    inference(superposition,[],[f504,f1754]) ).

fof(f504,plain,
    ( ~ sdtlseqdt0(xp,xn)
    | spl21_33 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f102395,plain,
    ( ~ spl21_1517
    | spl21_32
    | ~ spl21_152 ),
    inference(avatar_split_clause,[],[f102075,f1752,f497,f102392]) ).

fof(f102392,plain,
    ( spl21_1517
  <=> sdtlseqdt0(xr,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1517])]) ).

fof(f497,plain,
    ( spl21_32
  <=> sdtlseqdt0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).

fof(f102075,plain,
    ( ~ sdtlseqdt0(xr,xm)
    | spl21_32
    | ~ spl21_152 ),
    inference(superposition,[],[f499,f1754]) ).

fof(f499,plain,
    ( ~ sdtlseqdt0(xp,xm)
    | spl21_32 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f102390,plain,
    ( spl21_1516
    | ~ spl21_29
    | ~ spl21_152 ),
    inference(avatar_split_clause,[],[f102073,f1752,f482,f102387]) ).

fof(f102387,plain,
    ( spl21_1516
  <=> sdtlseqdt0(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1516])]) ).

fof(f482,plain,
    ( spl21_29
  <=> sdtlseqdt0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).

fof(f102073,plain,
    ( sdtlseqdt0(xk,xr)
    | ~ spl21_29
    | ~ spl21_152 ),
    inference(superposition,[],[f484,f1754]) ).

fof(f484,plain,
    ( sdtlseqdt0(xk,xp)
    | ~ spl21_29 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f102385,plain,
    ( spl21_1515
    | ~ spl21_25
    | ~ spl21_152 ),
    inference(avatar_split_clause,[],[f102071,f1752,f462,f102382]) ).

fof(f102382,plain,
    ( spl21_1515
  <=> sdtlseqdt0(xm,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1515])]) ).

fof(f462,plain,
    ( spl21_25
  <=> sdtlseqdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).

fof(f102071,plain,
    ( sdtlseqdt0(xm,xr)
    | ~ spl21_25
    | ~ spl21_152 ),
    inference(superposition,[],[f464,f1754]) ).

fof(f464,plain,
    ( sdtlseqdt0(xm,xp)
    | ~ spl21_25 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f102380,plain,
    ( spl21_1514
    | ~ spl21_23
    | ~ spl21_152 ),
    inference(avatar_split_clause,[],[f102069,f1752,f452,f102377]) ).

fof(f102377,plain,
    ( spl21_1514
  <=> sdtlseqdt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1514])]) ).

fof(f452,plain,
    ( spl21_23
  <=> sdtlseqdt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).

fof(f102069,plain,
    ( sdtlseqdt0(xn,xr)
    | ~ spl21_23
    | ~ spl21_152 ),
    inference(superposition,[],[f454,f1754]) ).

fof(f454,plain,
    ( sdtlseqdt0(xn,xp)
    | ~ spl21_23 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f102373,plain,
    ( spl21_1513
    | ~ spl21_152
    | ~ spl21_1375 ),
    inference(avatar_split_clause,[],[f102299,f92776,f1752,f102371]) ).

fof(f102371,plain,
    ( spl21_1513
  <=> ! [X0] :
        ( xr = X0
        | sdtpldt0(sK8,X0) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1513])]) ).

fof(f92776,plain,
    ( spl21_1375
  <=> ! [X0] :
        ( sdtpldt0(sK8,X0) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1375])]) ).

fof(f102299,plain,
    ( ! [X0] :
        ( xr = X0
        | sdtpldt0(sK8,X0) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_152
    | ~ spl21_1375 ),
    inference(forward_demodulation,[],[f92777,f1754]) ).

fof(f92777,plain,
    ( ! [X0] :
        ( sdtpldt0(sK8,X0) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_1375 ),
    inference(avatar_component_clause,[],[f92776]) ).

fof(f102256,plain,
    ( ~ spl21_152
    | spl21_1366 ),
    inference(avatar_contradiction_clause,[],[f102255]) ).

fof(f102255,plain,
    ( $false
    | ~ spl21_152
    | spl21_1366 ),
    inference(trivial_inequality_removal,[],[f102224]) ).

fof(f102224,plain,
    ( sdtpldt0(sK8,xr) != sdtpldt0(sK8,xr)
    | ~ spl21_152
    | spl21_1366 ),
    inference(superposition,[],[f83925,f1754]) ).

fof(f83925,plain,
    ( sdtpldt0(sK8,xp) != sdtpldt0(sK8,xr)
    | spl21_1366 ),
    inference(avatar_component_clause,[],[f83924]) ).

fof(f83924,plain,
    ( spl21_1366
  <=> sdtpldt0(sK8,xp) = sdtpldt0(sK8,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1366])]) ).

fof(f102062,plain,
    ( spl21_152
    | ~ spl21_2
    | ~ spl21_299
    | ~ spl21_1389 ),
    inference(avatar_split_clause,[],[f94046,f94026,f5262,f347,f1752]) ).

fof(f347,plain,
    ( spl21_2
  <=> aNaturalNumber0(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f5262,plain,
    ( spl21_299
  <=> sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xr,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_299])]) ).

fof(f94026,plain,
    ( spl21_1389
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xr,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1389])]) ).

fof(f94046,plain,
    ( ~ aNaturalNumber0(xr)
    | xp = xr
    | ~ spl21_299
    | ~ spl21_1389 ),
    inference(trivial_inequality_removal,[],[f94037]) ).

fof(f94037,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) != sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | xp = xr
    | ~ spl21_299
    | ~ spl21_1389 ),
    inference(superposition,[],[f94027,f5264]) ).

fof(f5264,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_299 ),
    inference(avatar_component_clause,[],[f5262]) ).

fof(f94027,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xr,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_1389 ),
    inference(avatar_component_clause,[],[f94026]) ).

fof(f102061,plain,
    ( spl21_1512
    | ~ spl21_265
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100255,f92755,f4159,f102058]) ).

fof(f102058,plain,
    ( spl21_1512
  <=> sdtasdt0(sdtpldt0(sK8,xr),xn) = sdtasdt0(xn,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1512])]) ).

fof(f4159,plain,
    ( spl21_265
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_265])]) ).

fof(f92755,plain,
    ( spl21_1371
  <=> aNaturalNumber0(sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1371])]) ).

fof(f100255,plain,
    ( sdtasdt0(sdtpldt0(sK8,xr),xn) = sdtasdt0(xn,sdtpldt0(sK8,xr))
    | ~ spl21_265
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4160]) ).

fof(f4160,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
    | ~ spl21_265 ),
    inference(avatar_component_clause,[],[f4159]) ).

fof(f92756,plain,
    ( aNaturalNumber0(sdtpldt0(sK8,xr))
    | ~ spl21_1371 ),
    inference(avatar_component_clause,[],[f92755]) ).

fof(f102056,plain,
    ( spl21_1511
    | ~ spl21_264
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100254,f92755,f4155,f102053]) ).

fof(f102053,plain,
    ( spl21_1511
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK12) = sdtpldt0(sK12,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1511])]) ).

fof(f4155,plain,
    ( spl21_264
  <=> ! [X0] :
        ( sdtpldt0(X0,sK12) = sdtpldt0(sK12,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_264])]) ).

fof(f100254,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK12) = sdtpldt0(sK12,sdtpldt0(sK8,xr))
    | ~ spl21_264
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4156]) ).

fof(f4156,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK12) = sdtpldt0(sK12,X0) )
    | ~ spl21_264 ),
    inference(avatar_component_clause,[],[f4155]) ).

fof(f102051,plain,
    ( spl21_1510
    | ~ spl21_262
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100253,f92755,f4146,f102048]) ).

fof(f102048,plain,
    ( spl21_1510
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK11) = sdtpldt0(sK11,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1510])]) ).

fof(f4146,plain,
    ( spl21_262
  <=> ! [X0] :
        ( sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_262])]) ).

fof(f100253,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK11) = sdtpldt0(sK11,sdtpldt0(sK8,xr))
    | ~ spl21_262
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4147]) ).

fof(f4147,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0) )
    | ~ spl21_262 ),
    inference(avatar_component_clause,[],[f4146]) ).

fof(f102046,plain,
    ( spl21_1509
    | ~ spl21_261
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100252,f92755,f4142,f102043]) ).

fof(f102043,plain,
    ( spl21_1509
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK10) = sdtpldt0(sK10,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1509])]) ).

fof(f4142,plain,
    ( spl21_261
  <=> ! [X0] :
        ( sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_261])]) ).

fof(f100252,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK10) = sdtpldt0(sK10,sdtpldt0(sK8,xr))
    | ~ spl21_261
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4143]) ).

fof(f4143,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0) )
    | ~ spl21_261 ),
    inference(avatar_component_clause,[],[f4142]) ).

fof(f102041,plain,
    ( spl21_1508
    | ~ spl21_260
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100251,f92755,f4138,f102038]) ).

fof(f102038,plain,
    ( spl21_1508
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK9) = sdtpldt0(sK9,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1508])]) ).

fof(f4138,plain,
    ( spl21_260
  <=> ! [X0] :
        ( sdtpldt0(X0,sK9) = sdtpldt0(sK9,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_260])]) ).

fof(f100251,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK9) = sdtpldt0(sK9,sdtpldt0(sK8,xr))
    | ~ spl21_260
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4139]) ).

fof(f4139,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK9) = sdtpldt0(sK9,X0) )
    | ~ spl21_260 ),
    inference(avatar_component_clause,[],[f4138]) ).

fof(f102036,plain,
    ( spl21_1507
    | ~ spl21_259
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100250,f92755,f4134,f102033]) ).

fof(f102033,plain,
    ( spl21_1507
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1507])]) ).

fof(f4134,plain,
    ( spl21_259
  <=> ! [X0] :
        ( sdtpldt0(X0,sK8) = sdtpldt0(sK8,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_259])]) ).

fof(f100250,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,xr))
    | ~ spl21_259
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4135]) ).

fof(f4135,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK8) = sdtpldt0(sK8,X0) )
    | ~ spl21_259 ),
    inference(avatar_component_clause,[],[f4134]) ).

fof(f102031,plain,
    ( spl21_1506
    | ~ spl21_258
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100249,f92755,f4130,f102028]) ).

fof(f102028,plain,
    ( spl21_1506
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK7) = sdtpldt0(sK7,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1506])]) ).

fof(f4130,plain,
    ( spl21_258
  <=> ! [X0] :
        ( sdtpldt0(X0,sK7) = sdtpldt0(sK7,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_258])]) ).

fof(f100249,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK7) = sdtpldt0(sK7,sdtpldt0(sK8,xr))
    | ~ spl21_258
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4131]) ).

fof(f4131,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK7) = sdtpldt0(sK7,X0) )
    | ~ spl21_258 ),
    inference(avatar_component_clause,[],[f4130]) ).

fof(f102026,plain,
    ( spl21_1505
    | ~ spl21_257
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100248,f92755,f4126,f102023]) ).

fof(f102023,plain,
    ( spl21_1505
  <=> sdtpldt0(sdtpldt0(sK8,xr),sK6) = sdtpldt0(sK6,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1505])]) ).

fof(f4126,plain,
    ( spl21_257
  <=> ! [X0] :
        ( sdtpldt0(X0,sK6) = sdtpldt0(sK6,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_257])]) ).

fof(f100248,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK6) = sdtpldt0(sK6,sdtpldt0(sK8,xr))
    | ~ spl21_257
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4127]) ).

fof(f4127,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK6) = sdtpldt0(sK6,X0) )
    | ~ spl21_257 ),
    inference(avatar_component_clause,[],[f4126]) ).

fof(f102021,plain,
    ( spl21_1504
    | ~ spl21_256
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100247,f92755,f4122,f102018]) ).

fof(f102018,plain,
    ( spl21_1504
  <=> sdtpldt0(sdtpldt0(sK8,xr),xr) = sdtpldt0(xr,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1504])]) ).

fof(f4122,plain,
    ( spl21_256
  <=> ! [X0] :
        ( sdtpldt0(xr,X0) = sdtpldt0(X0,xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_256])]) ).

fof(f100247,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),xr) = sdtpldt0(xr,sdtpldt0(sK8,xr))
    | ~ spl21_256
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4123]) ).

fof(f4123,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xr,X0) = sdtpldt0(X0,xr) )
    | ~ spl21_256 ),
    inference(avatar_component_clause,[],[f4122]) ).

fof(f102016,plain,
    ( spl21_1503
    | ~ spl21_255
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100246,f92755,f4118,f102013]) ).

fof(f102013,plain,
    ( spl21_1503
  <=> sdtpldt0(sdtpldt0(sK8,xr),xk) = sdtpldt0(xk,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1503])]) ).

fof(f4118,plain,
    ( spl21_255
  <=> ! [X0] :
        ( sdtpldt0(xk,X0) = sdtpldt0(X0,xk)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_255])]) ).

fof(f100246,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),xk) = sdtpldt0(xk,sdtpldt0(sK8,xr))
    | ~ spl21_255
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4119]) ).

fof(f4119,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xk,X0) = sdtpldt0(X0,xk) )
    | ~ spl21_255 ),
    inference(avatar_component_clause,[],[f4118]) ).

fof(f102011,plain,
    ( spl21_1502
    | ~ spl21_16
    | ~ spl21_200
    | ~ spl21_1255 ),
    inference(avatar_split_clause,[],[f77774,f77740,f2009,f417,f102008]) ).

fof(f102008,plain,
    ( spl21_1502
  <=> sK8 = sdtsldt0(sK8,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1502])]) ).

fof(f417,plain,
    ( spl21_16
  <=> aNaturalNumber0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).

fof(f2009,plain,
    ( spl21_200
  <=> sK8 = sdtasdt0(sz10,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_200])]) ).

fof(f77740,plain,
    ( spl21_1255
  <=> ! [X0] :
        ( sdtasdt0(X0,sK8) = sdtsldt0(sdtasdt0(X0,sK8),sK8)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1255])]) ).

fof(f77774,plain,
    ( sK8 = sdtsldt0(sK8,sK8)
    | ~ spl21_16
    | ~ spl21_200
    | ~ spl21_1255 ),
    inference(forward_demodulation,[],[f77744,f2011]) ).

fof(f2011,plain,
    ( sK8 = sdtasdt0(sz10,sK8)
    | ~ spl21_200 ),
    inference(avatar_component_clause,[],[f2009]) ).

fof(f77744,plain,
    ( sdtasdt0(sz10,sK8) = sdtsldt0(sdtasdt0(sz10,sK8),sK8)
    | ~ spl21_16
    | ~ spl21_1255 ),
    inference(resolution,[],[f77741,f419]) ).

fof(f419,plain,
    ( aNaturalNumber0(sz10)
    | ~ spl21_16 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f77741,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK8) = sdtsldt0(sdtasdt0(X0,sK8),sK8) )
    | ~ spl21_1255 ),
    inference(avatar_component_clause,[],[f77740]) ).

fof(f102006,plain,
    ( spl21_1501
    | ~ spl21_254
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100245,f92755,f4114,f102003]) ).

fof(f102003,plain,
    ( spl21_1501
  <=> sdtpldt0(sdtpldt0(sK8,xr),xp) = sdtpldt0(xp,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1501])]) ).

fof(f4114,plain,
    ( spl21_254
  <=> ! [X0] :
        ( sdtpldt0(xp,X0) = sdtpldt0(X0,xp)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_254])]) ).

fof(f100245,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),xp) = sdtpldt0(xp,sdtpldt0(sK8,xr))
    | ~ spl21_254
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4115]) ).

fof(f4115,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xp,X0) = sdtpldt0(X0,xp) )
    | ~ spl21_254 ),
    inference(avatar_component_clause,[],[f4114]) ).

fof(f102001,plain,
    ( spl21_1500
    | ~ spl21_253
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100244,f92755,f4110,f101998]) ).

fof(f101998,plain,
    ( spl21_1500
  <=> sdtpldt0(sdtpldt0(sK8,xr),xm) = sdtpldt0(xm,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1500])]) ).

fof(f4110,plain,
    ( spl21_253
  <=> ! [X0] :
        ( sdtpldt0(xm,X0) = sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_253])]) ).

fof(f100244,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),xm) = sdtpldt0(xm,sdtpldt0(sK8,xr))
    | ~ spl21_253
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4111]) ).

fof(f4111,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(X0,xm) )
    | ~ spl21_253 ),
    inference(avatar_component_clause,[],[f4110]) ).

fof(f101996,plain,
    ( spl21_1499
    | ~ spl21_252
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100243,f92755,f4086,f101993]) ).

fof(f101993,plain,
    ( spl21_1499
  <=> sdtpldt0(xn,sdtpldt0(sK8,xr)) = sdtpldt0(sdtpldt0(sK8,xr),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1499])]) ).

fof(f4086,plain,
    ( spl21_252
  <=> ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_252])]) ).

fof(f100243,plain,
    ( sdtpldt0(xn,sdtpldt0(sK8,xr)) = sdtpldt0(sdtpldt0(sK8,xr),xn)
    | ~ spl21_252
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f4087]) ).

fof(f4087,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(X0,xn) )
    | ~ spl21_252 ),
    inference(avatar_component_clause,[],[f4086]) ).

fof(f101465,plain,
    ( spl21_1498
    | ~ spl21_15
    | ~ spl21_175
    | ~ spl21_1255 ),
    inference(avatar_split_clause,[],[f77773,f77740,f1882,f412,f101462]) ).

fof(f101462,plain,
    ( spl21_1498
  <=> sz00 = sdtsldt0(sz00,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1498])]) ).

fof(f412,plain,
    ( spl21_15
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).

fof(f1882,plain,
    ( spl21_175
  <=> sz00 = sdtasdt0(sz00,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_175])]) ).

fof(f77773,plain,
    ( sz00 = sdtsldt0(sz00,sK8)
    | ~ spl21_15
    | ~ spl21_175
    | ~ spl21_1255 ),
    inference(forward_demodulation,[],[f77743,f1884]) ).

fof(f1884,plain,
    ( sz00 = sdtasdt0(sz00,sK8)
    | ~ spl21_175 ),
    inference(avatar_component_clause,[],[f1882]) ).

fof(f77743,plain,
    ( sdtasdt0(sz00,sK8) = sdtsldt0(sdtasdt0(sz00,sK8),sK8)
    | ~ spl21_15
    | ~ spl21_1255 ),
    inference(resolution,[],[f77741,f414]) ).

fof(f414,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl21_15 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f101239,plain,
    ( spl21_1497
    | ~ spl21_254
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97303,f92770,f92131,f4114,f101236]) ).

fof(f101236,plain,
    ( spl21_1497
  <=> sdtpldt0(xp,sdtpldt0(sK8,xm)) = sdtpldt0(xr,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1497])]) ).

fof(f92131,plain,
    ( spl21_1368
  <=> sdtpldt0(sdtpldt0(sK8,xm),xp) = sdtpldt0(xr,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1368])]) ).

fof(f92770,plain,
    ( spl21_1374
  <=> aNaturalNumber0(sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1374])]) ).

fof(f97303,plain,
    ( sdtpldt0(xp,sdtpldt0(sK8,xm)) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_254
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(forward_demodulation,[],[f97106,f92133]) ).

fof(f92133,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),xp) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_1368 ),
    inference(avatar_component_clause,[],[f92131]) ).

fof(f97106,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),xp) = sdtpldt0(xp,sdtpldt0(sK8,xm))
    | ~ spl21_254
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4115]) ).

fof(f92771,plain,
    ( aNaturalNumber0(sdtpldt0(sK8,xm))
    | ~ spl21_1374 ),
    inference(avatar_component_clause,[],[f92770]) ).

fof(f101234,plain,
    ( spl21_1496
    | ~ spl21_316
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97137,f92770,f5509,f101232]) ).

fof(f101232,plain,
    ( spl21_1496
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(sK8,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1496])]) ).

fof(f5509,plain,
    ( spl21_316
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_316])]) ).

fof(f97137,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(sK8,xm),X0)) )
    | ~ spl21_316
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f5510]) ).

fof(f5510,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl21_316 ),
    inference(avatar_component_clause,[],[f5509]) ).

fof(f101230,plain,
    ( spl21_1495
    | ~ spl21_315
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97136,f92770,f5505,f101228]) ).

fof(f101228,plain,
    ( spl21_1495
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(sK8,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1495])]) ).

fof(f5505,plain,
    ( spl21_315
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_315])]) ).

fof(f97136,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(sK8,xm),X0),sz00) )
    | ~ spl21_315
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f5506]) ).

fof(f5506,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl21_315 ),
    inference(avatar_component_clause,[],[f5505]) ).

fof(f101226,plain,
    ( spl21_1494
    | ~ spl21_314
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97135,f92770,f5501,f101224]) ).

fof(f101224,plain,
    ( spl21_1494
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(sK8,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1494])]) ).

fof(f5501,plain,
    ( spl21_314
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_314])]) ).

fof(f97135,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(sK8,xm),X0)) )
    | ~ spl21_314
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f5502]) ).

fof(f5502,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl21_314 ),
    inference(avatar_component_clause,[],[f5501]) ).

fof(f101222,plain,
    ( spl21_1493
    | ~ spl21_313
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97134,f92770,f5497,f101220]) ).

fof(f101220,plain,
    ( spl21_1493
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(sK8,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1493])]) ).

fof(f5497,plain,
    ( spl21_313
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_313])]) ).

fof(f97134,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(sK8,xm),X0),sz00) )
    | ~ spl21_313
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f5498]) ).

fof(f5498,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl21_313 ),
    inference(avatar_component_clause,[],[f5497]) ).

fof(f101218,plain,
    ( spl21_1492
    | ~ spl21_286
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97129,f92770,f4985,f101215]) ).

fof(f101215,plain,
    ( spl21_1492
  <=> sdtpldt0(sdtpldt0(sK8,xm),sz10) = sdtpldt0(sz10,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1492])]) ).

fof(f4985,plain,
    ( spl21_286
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_286])]) ).

fof(f97129,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sz10) = sdtpldt0(sz10,sdtpldt0(sK8,xm))
    | ~ spl21_286
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4986]) ).

fof(f4986,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
    | ~ spl21_286 ),
    inference(avatar_component_clause,[],[f4985]) ).

fof(f101213,plain,
    ( spl21_1491
    | ~ spl21_276
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97127,f92770,f4209,f101210]) ).

fof(f101210,plain,
    ( spl21_1491
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK12) = sdtasdt0(sK12,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1491])]) ).

fof(f4209,plain,
    ( spl21_276
  <=> ! [X0] :
        ( sdtasdt0(X0,sK12) = sdtasdt0(sK12,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_276])]) ).

fof(f97127,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK12) = sdtasdt0(sK12,sdtpldt0(sK8,xm))
    | ~ spl21_276
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4210]) ).

fof(f4210,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK12) = sdtasdt0(sK12,X0) )
    | ~ spl21_276 ),
    inference(avatar_component_clause,[],[f4209]) ).

fof(f101208,plain,
    ( spl21_1490
    | ~ spl21_275
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97126,f92770,f4205,f101205]) ).

fof(f101205,plain,
    ( spl21_1490
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK11) = sdtasdt0(sK11,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1490])]) ).

fof(f4205,plain,
    ( spl21_275
  <=> ! [X0] :
        ( sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_275])]) ).

fof(f97126,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK11) = sdtasdt0(sK11,sdtpldt0(sK8,xm))
    | ~ spl21_275
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4206]) ).

fof(f4206,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0) )
    | ~ spl21_275 ),
    inference(avatar_component_clause,[],[f4205]) ).

fof(f101203,plain,
    ( spl21_1489
    | ~ spl21_274
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97125,f92770,f4201,f101200]) ).

fof(f101200,plain,
    ( spl21_1489
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK10) = sdtasdt0(sK10,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1489])]) ).

fof(f4201,plain,
    ( spl21_274
  <=> ! [X0] :
        ( sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_274])]) ).

fof(f97125,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK10) = sdtasdt0(sK10,sdtpldt0(sK8,xm))
    | ~ spl21_274
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4202]) ).

fof(f4202,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0) )
    | ~ spl21_274 ),
    inference(avatar_component_clause,[],[f4201]) ).

fof(f101198,plain,
    ( spl21_1488
    | ~ spl21_273
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97124,f92770,f4191,f101195]) ).

fof(f101195,plain,
    ( spl21_1488
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK9) = sdtasdt0(sK9,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1488])]) ).

fof(f4191,plain,
    ( spl21_273
  <=> ! [X0] :
        ( sdtasdt0(X0,sK9) = sdtasdt0(sK9,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_273])]) ).

fof(f97124,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK9) = sdtasdt0(sK9,sdtpldt0(sK8,xm))
    | ~ spl21_273
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4192]) ).

fof(f4192,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK9) = sdtasdt0(sK9,X0) )
    | ~ spl21_273 ),
    inference(avatar_component_clause,[],[f4191]) ).

fof(f101193,plain,
    ( spl21_1487
    | ~ spl21_272
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97123,f92770,f4187,f101190]) ).

fof(f101190,plain,
    ( spl21_1487
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK8) = sdtasdt0(sK8,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1487])]) ).

fof(f4187,plain,
    ( spl21_272
  <=> ! [X0] :
        ( sdtasdt0(X0,sK8) = sdtasdt0(sK8,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_272])]) ).

fof(f97123,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK8) = sdtasdt0(sK8,sdtpldt0(sK8,xm))
    | ~ spl21_272
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4188]) ).

fof(f4188,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK8) = sdtasdt0(sK8,X0) )
    | ~ spl21_272 ),
    inference(avatar_component_clause,[],[f4187]) ).

fof(f101188,plain,
    ( spl21_1486
    | ~ spl21_271
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97122,f92770,f4183,f101185]) ).

fof(f101185,plain,
    ( spl21_1486
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK7) = sdtasdt0(sK7,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1486])]) ).

fof(f4183,plain,
    ( spl21_271
  <=> ! [X0] :
        ( sdtasdt0(X0,sK7) = sdtasdt0(sK7,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_271])]) ).

fof(f97122,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK7) = sdtasdt0(sK7,sdtpldt0(sK8,xm))
    | ~ spl21_271
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4184]) ).

fof(f4184,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK7) = sdtasdt0(sK7,X0) )
    | ~ spl21_271 ),
    inference(avatar_component_clause,[],[f4183]) ).

fof(f101183,plain,
    ( spl21_1485
    | ~ spl21_270
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97121,f92770,f4179,f101180]) ).

fof(f101180,plain,
    ( spl21_1485
  <=> sdtasdt0(sdtpldt0(sK8,xm),sK6) = sdtasdt0(sK6,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1485])]) ).

fof(f4179,plain,
    ( spl21_270
  <=> ! [X0] :
        ( sdtasdt0(X0,sK6) = sdtasdt0(sK6,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_270])]) ).

fof(f97121,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),sK6) = sdtasdt0(sK6,sdtpldt0(sK8,xm))
    | ~ spl21_270
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4180]) ).

fof(f4180,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK6) = sdtasdt0(sK6,X0) )
    | ~ spl21_270 ),
    inference(avatar_component_clause,[],[f4179]) ).

fof(f101178,plain,
    ( spl21_1484
    | ~ spl21_269
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97120,f92770,f4175,f101175]) ).

fof(f101175,plain,
    ( spl21_1484
  <=> sdtasdt0(xr,sdtpldt0(sK8,xm)) = sdtasdt0(sdtpldt0(sK8,xm),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1484])]) ).

fof(f4175,plain,
    ( spl21_269
  <=> ! [X0] :
        ( sdtasdt0(xr,X0) = sdtasdt0(X0,xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_269])]) ).

fof(f97120,plain,
    ( sdtasdt0(xr,sdtpldt0(sK8,xm)) = sdtasdt0(sdtpldt0(sK8,xm),xr)
    | ~ spl21_269
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4176]) ).

fof(f4176,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xr,X0) = sdtasdt0(X0,xr) )
    | ~ spl21_269 ),
    inference(avatar_component_clause,[],[f4175]) ).

fof(f101173,plain,
    ( spl21_1483
    | ~ spl21_268
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97119,f92770,f4171,f101170]) ).

fof(f101170,plain,
    ( spl21_1483
  <=> sdtasdt0(sdtpldt0(sK8,xm),xk) = sdtasdt0(xk,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1483])]) ).

fof(f4171,plain,
    ( spl21_268
  <=> ! [X0] :
        ( sdtasdt0(X0,xk) = sdtasdt0(xk,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_268])]) ).

fof(f97119,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),xk) = sdtasdt0(xk,sdtpldt0(sK8,xm))
    | ~ spl21_268
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4172]) ).

fof(f4172,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xk) = sdtasdt0(xk,X0) )
    | ~ spl21_268 ),
    inference(avatar_component_clause,[],[f4171]) ).

fof(f101168,plain,
    ( spl21_1482
    | ~ spl21_267
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97118,f92770,f4167,f101165]) ).

fof(f101165,plain,
    ( spl21_1482
  <=> sdtasdt0(xp,sdtpldt0(sK8,xm)) = sdtasdt0(sdtpldt0(sK8,xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1482])]) ).

fof(f4167,plain,
    ( spl21_267
  <=> ! [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(X0,xp)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_267])]) ).

fof(f97118,plain,
    ( sdtasdt0(xp,sdtpldt0(sK8,xm)) = sdtasdt0(sdtpldt0(sK8,xm),xp)
    | ~ spl21_267
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4168]) ).

fof(f4168,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xp,X0) = sdtasdt0(X0,xp) )
    | ~ spl21_267 ),
    inference(avatar_component_clause,[],[f4167]) ).

fof(f101163,plain,
    ( spl21_1481
    | ~ spl21_266
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97117,f92770,f4163,f101160]) ).

fof(f101160,plain,
    ( spl21_1481
  <=> sdtasdt0(sdtpldt0(sK8,xm),xm) = sdtasdt0(xm,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1481])]) ).

fof(f4163,plain,
    ( spl21_266
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_266])]) ).

fof(f97117,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),xm) = sdtasdt0(xm,sdtpldt0(sK8,xm))
    | ~ spl21_266
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4164]) ).

fof(f4164,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
    | ~ spl21_266 ),
    inference(avatar_component_clause,[],[f4163]) ).

fof(f101156,plain,
    ( spl21_1480
    | ~ spl21_265
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97116,f92770,f4159,f101153]) ).

fof(f101153,plain,
    ( spl21_1480
  <=> sdtasdt0(sdtpldt0(sK8,xm),xn) = sdtasdt0(xn,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1480])]) ).

fof(f97116,plain,
    ( sdtasdt0(sdtpldt0(sK8,xm),xn) = sdtasdt0(xn,sdtpldt0(sK8,xm))
    | ~ spl21_265
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4160]) ).

fof(f101151,plain,
    ( spl21_1479
    | ~ spl21_264
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97115,f92770,f4155,f101148]) ).

fof(f101148,plain,
    ( spl21_1479
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK12) = sdtpldt0(sK12,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1479])]) ).

fof(f97115,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK12) = sdtpldt0(sK12,sdtpldt0(sK8,xm))
    | ~ spl21_264
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4156]) ).

fof(f100731,plain,
    ( spl21_1478
    | ~ spl21_81
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100236,f92755,f740,f100728]) ).

fof(f100728,plain,
    ( spl21_1478
  <=> sdtpldt0(sK8,xr) = sdtpldt0(sz00,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1478])]) ).

fof(f740,plain,
    ( spl21_81
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).

fof(f100236,plain,
    ( sdtpldt0(sK8,xr) = sdtpldt0(sz00,sdtpldt0(sK8,xr))
    | ~ spl21_81
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f741]) ).

fof(f741,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = X0 )
    | ~ spl21_81 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f100726,plain,
    ( spl21_1477
    | ~ spl21_80
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100235,f92755,f736,f100723]) ).

fof(f100723,plain,
    ( spl21_1477
  <=> sdtpldt0(sK8,xr) = sdtpldt0(sdtpldt0(sK8,xr),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1477])]) ).

fof(f736,plain,
    ( spl21_80
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).

fof(f100235,plain,
    ( sdtpldt0(sK8,xr) = sdtpldt0(sdtpldt0(sK8,xr),sz00)
    | ~ spl21_80
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f737]) ).

fof(f737,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = X0 )
    | ~ spl21_80 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f100721,plain,
    ( spl21_1476
    | ~ spl21_79
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100234,f92755,f732,f100718]) ).

fof(f100718,plain,
    ( spl21_1476
  <=> sdtpldt0(sK8,xr) = sdtasdt0(sz10,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1476])]) ).

fof(f732,plain,
    ( spl21_79
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_79])]) ).

fof(f100234,plain,
    ( sdtpldt0(sK8,xr) = sdtasdt0(sz10,sdtpldt0(sK8,xr))
    | ~ spl21_79
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f733]) ).

fof(f733,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = X0 )
    | ~ spl21_79 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f100716,plain,
    ( spl21_1475
    | ~ spl21_78
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100233,f92755,f728,f100713]) ).

fof(f100713,plain,
    ( spl21_1475
  <=> sdtpldt0(sK8,xr) = sdtasdt0(sdtpldt0(sK8,xr),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1475])]) ).

fof(f728,plain,
    ( spl21_78
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).

fof(f100233,plain,
    ( sdtpldt0(sK8,xr) = sdtasdt0(sdtpldt0(sK8,xr),sz10)
    | ~ spl21_78
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f729]) ).

fof(f729,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = X0 )
    | ~ spl21_78 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f100711,plain,
    ( spl21_1474
    | ~ spl21_35
    | ~ spl21_1328 ),
    inference(avatar_split_clause,[],[f99887,f80234,f512,f100708]) ).

fof(f100708,plain,
    ( spl21_1474
  <=> sP5(sdtasdt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1474])]) ).

fof(f512,plain,
    ( spl21_35
  <=> ! [X0] :
        ( sP5(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).

fof(f80234,plain,
    ( spl21_1328
  <=> aNaturalNumber0(sdtasdt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1328])]) ).

fof(f99887,plain,
    ( sP5(sdtasdt0(sK8,xr))
    | ~ spl21_35
    | ~ spl21_1328 ),
    inference(resolution,[],[f80235,f513]) ).

fof(f513,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sP5(X0) )
    | ~ spl21_35 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f80235,plain,
    ( aNaturalNumber0(sdtasdt0(sK8,xr))
    | ~ spl21_1328 ),
    inference(avatar_component_clause,[],[f80234]) ).

fof(f100518,plain,
    ( spl21_1473
    | ~ spl21_77
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100232,f92755,f724,f100515]) ).

fof(f100515,plain,
    ( spl21_1473
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1473])]) ).

fof(f724,plain,
    ( spl21_77
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_77])]) ).

fof(f100232,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK8,xr))
    | ~ spl21_77
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f725]) ).

fof(f725,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,X0) )
    | ~ spl21_77 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f100513,plain,
    ( spl21_1472
    | ~ spl21_76
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100231,f92755,f720,f100510]) ).

fof(f100510,plain,
    ( spl21_1472
  <=> sz00 = sdtasdt0(sdtpldt0(sK8,xr),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1472])]) ).

fof(f720,plain,
    ( spl21_76
  <=> ! [X0] :
        ( sz00 = sdtasdt0(X0,sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_76])]) ).

fof(f100231,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK8,xr),sz00)
    | ~ spl21_76
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f721]) ).

fof(f721,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(X0,sz00) )
    | ~ spl21_76 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f100506,plain,
    ( spl21_1471
    | ~ spl21_35
    | ~ spl21_1371 ),
    inference(avatar_split_clause,[],[f100230,f92755,f512,f100503]) ).

fof(f100503,plain,
    ( spl21_1471
  <=> sP5(sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1471])]) ).

fof(f100230,plain,
    ( sP5(sdtpldt0(sK8,xr))
    | ~ spl21_35
    | ~ spl21_1371 ),
    inference(resolution,[],[f92756,f513]) ).

fof(f100159,plain,
    ( ~ spl21_8
    | ~ spl21_2
    | ~ spl21_83
    | spl21_1371 ),
    inference(avatar_split_clause,[],[f92759,f92755,f860,f347,f377]) ).

fof(f377,plain,
    ( spl21_8
  <=> aNaturalNumber0(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).

fof(f860,plain,
    ( spl21_83
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_83])]) ).

fof(f92759,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_83
    | spl21_1371 ),
    inference(resolution,[],[f92757,f861]) ).

fof(f861,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_83 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f92757,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xr))
    | spl21_1371 ),
    inference(avatar_component_clause,[],[f92755]) ).

fof(f99885,plain,
    ( ~ spl21_8
    | ~ spl21_2
    | ~ spl21_84
    | spl21_1328 ),
    inference(avatar_split_clause,[],[f80244,f80234,f864,f347,f377]) ).

fof(f864,plain,
    ( spl21_84
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).

fof(f80244,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_84
    | spl21_1328 ),
    inference(resolution,[],[f80236,f865]) ).

fof(f865,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_84 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f80236,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sK8,xr))
    | spl21_1328 ),
    inference(avatar_component_clause,[],[f80234]) ).

fof(f99884,plain,
    ( spl21_1470
    | ~ spl21_262
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97114,f92770,f4146,f99881]) ).

fof(f99881,plain,
    ( spl21_1470
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK11) = sdtpldt0(sK11,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1470])]) ).

fof(f97114,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK11) = sdtpldt0(sK11,sdtpldt0(sK8,xm))
    | ~ spl21_262
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4147]) ).

fof(f99879,plain,
    ( spl21_1469
    | ~ spl21_261
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97113,f92770,f4142,f99876]) ).

fof(f99876,plain,
    ( spl21_1469
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK10) = sdtpldt0(sK10,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1469])]) ).

fof(f97113,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK10) = sdtpldt0(sK10,sdtpldt0(sK8,xm))
    | ~ spl21_261
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4143]) ).

fof(f99874,plain,
    ( spl21_1468
    | ~ spl21_260
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97112,f92770,f4138,f99871]) ).

fof(f99871,plain,
    ( spl21_1468
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK9) = sdtpldt0(sK9,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1468])]) ).

fof(f97112,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK9) = sdtpldt0(sK9,sdtpldt0(sK8,xm))
    | ~ spl21_260
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4139]) ).

fof(f99869,plain,
    ( spl21_1467
    | ~ spl21_259
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97111,f92770,f4134,f99866]) ).

fof(f99866,plain,
    ( spl21_1467
  <=> sdtpldt0(sK8,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1467])]) ).

fof(f97111,plain,
    ( sdtpldt0(sK8,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),sK8)
    | ~ spl21_259
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4135]) ).

fof(f99864,plain,
    ( spl21_1466
    | ~ spl21_258
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97110,f92770,f4130,f99861]) ).

fof(f99861,plain,
    ( spl21_1466
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK7) = sdtpldt0(sK7,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1466])]) ).

fof(f97110,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK7) = sdtpldt0(sK7,sdtpldt0(sK8,xm))
    | ~ spl21_258
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4131]) ).

fof(f99859,plain,
    ( spl21_1465
    | ~ spl21_257
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97109,f92770,f4126,f99856]) ).

fof(f99856,plain,
    ( spl21_1465
  <=> sdtpldt0(sdtpldt0(sK8,xm),sK6) = sdtpldt0(sK6,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1465])]) ).

fof(f97109,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),sK6) = sdtpldt0(sK6,sdtpldt0(sK8,xm))
    | ~ spl21_257
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4127]) ).

fof(f99854,plain,
    ( spl21_1464
    | ~ spl21_256
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97108,f92770,f4122,f99851]) ).

fof(f99851,plain,
    ( spl21_1464
  <=> sdtpldt0(sdtpldt0(sK8,xm),xr) = sdtpldt0(xr,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1464])]) ).

fof(f97108,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),xr) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_256
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4123]) ).

fof(f99849,plain,
    ( spl21_1463
    | ~ spl21_255
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97107,f92770,f4118,f99846]) ).

fof(f99846,plain,
    ( spl21_1463
  <=> sdtpldt0(xk,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1463])]) ).

fof(f97107,plain,
    ( sdtpldt0(xk,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xk)
    | ~ spl21_255
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4119]) ).

fof(f99844,plain,
    ( spl21_1462
    | ~ spl21_253
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97105,f92770,f4110,f99841]) ).

fof(f99841,plain,
    ( spl21_1462
  <=> sdtpldt0(xm,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1462])]) ).

fof(f97105,plain,
    ( sdtpldt0(xm,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xm)
    | ~ spl21_253
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4111]) ).

fof(f99839,plain,
    ( spl21_1461
    | ~ spl21_252
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97104,f92770,f4086,f99836]) ).

fof(f99836,plain,
    ( spl21_1461
  <=> sdtpldt0(xn,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1461])]) ).

fof(f97104,plain,
    ( sdtpldt0(xn,sdtpldt0(sK8,xm)) = sdtpldt0(sdtpldt0(sK8,xm),xn)
    | ~ spl21_252
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f4087]) ).

fof(f99694,plain,
    ( spl21_1460
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_153
    | ~ spl21_408 ),
    inference(avatar_split_clause,[],[f12636,f6568,f1756,f372,f347,f99691]) ).

fof(f99691,plain,
    ( spl21_1460
  <=> sz00 = sdtasdt0(sz00,sdtmndt0(xp,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1460])]) ).

fof(f372,plain,
    ( spl21_7
  <=> aNaturalNumber0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).

fof(f6568,plain,
    ( spl21_408
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_408])]) ).

fof(f12636,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | sz00 = sdtasdt0(sz00,sdtmndt0(xp,xr))
    | ~ spl21_153
    | ~ spl21_408 ),
    inference(resolution,[],[f1757,f6569]) ).

fof(f6569,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl21_408 ),
    inference(avatar_component_clause,[],[f6568]) ).

fof(f99594,plain,
    ( spl21_1459
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_153
    | ~ spl21_407 ),
    inference(avatar_split_clause,[],[f12635,f6564,f1756,f372,f347,f99591]) ).

fof(f99591,plain,
    ( spl21_1459
  <=> sz00 = sdtasdt0(sdtmndt0(xp,xr),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1459])]) ).

fof(f6564,plain,
    ( spl21_407
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_407])]) ).

fof(f12635,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | sz00 = sdtasdt0(sdtmndt0(xp,xr),sz00)
    | ~ spl21_153
    | ~ spl21_407 ),
    inference(resolution,[],[f1757,f6565]) ).

fof(f6565,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl21_407 ),
    inference(avatar_component_clause,[],[f6564]) ).

fof(f99500,plain,
    ( spl21_1458
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_153
    | ~ spl21_406 ),
    inference(avatar_split_clause,[],[f12634,f6560,f1756,f372,f347,f99497]) ).

fof(f99497,plain,
    ( spl21_1458
  <=> sz00 = sdtasdt0(sz00,sK20(xr,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1458])]) ).

fof(f6560,plain,
    ( spl21_406
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK20(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_406])]) ).

fof(f12634,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | sz00 = sdtasdt0(sz00,sK20(xr,xp))
    | ~ spl21_153
    | ~ spl21_406 ),
    inference(resolution,[],[f1757,f6561]) ).

fof(f6561,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK20(X0,X1)) )
    | ~ spl21_406 ),
    inference(avatar_component_clause,[],[f6560]) ).

fof(f99400,plain,
    ( spl21_1457
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_153
    | ~ spl21_405 ),
    inference(avatar_split_clause,[],[f12633,f6556,f1756,f372,f347,f99397]) ).

fof(f99397,plain,
    ( spl21_1457
  <=> sz00 = sdtasdt0(sK20(xr,xp),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1457])]) ).

fof(f6556,plain,
    ( spl21_405
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK20(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_405])]) ).

fof(f12633,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | sz00 = sdtasdt0(sK20(xr,xp),sz00)
    | ~ spl21_153
    | ~ spl21_405 ),
    inference(resolution,[],[f1757,f6557]) ).

fof(f6557,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK20(X0,X1),sz00) )
    | ~ spl21_405 ),
    inference(avatar_component_clause,[],[f6556]) ).

fof(f99300,plain,
    ( ~ spl21_2
    | ~ spl21_7
    | spl21_1456
    | ~ spl21_120
    | ~ spl21_153 ),
    inference(avatar_split_clause,[],[f12631,f1756,f1209,f99297,f372,f347]) ).

fof(f99297,plain,
    ( spl21_1456
  <=> xp = sdtpldt0(xr,sdtmndt0(xp,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1456])]) ).

fof(f1209,plain,
    ( spl21_120
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_120])]) ).

fof(f12631,plain,
    ( xp = sdtpldt0(xr,sdtmndt0(xp,xr))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_120
    | ~ spl21_153 ),
    inference(resolution,[],[f1757,f1210]) ).

fof(f1210,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_120 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f99230,plain,
    ( ~ spl21_2
    | ~ spl21_7
    | spl21_1455
    | ~ spl21_119
    | ~ spl21_153 ),
    inference(avatar_split_clause,[],[f12630,f1756,f1205,f99227,f372,f347]) ).

fof(f99227,plain,
    ( spl21_1455
  <=> xp = sdtpldt0(xr,sK20(xr,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1455])]) ).

fof(f1205,plain,
    ( spl21_119
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK20(X0,X1)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_119])]) ).

fof(f12630,plain,
    ( xp = sdtpldt0(xr,sK20(xr,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_119
    | ~ spl21_153 ),
    inference(resolution,[],[f1757,f1206]) ).

fof(f1206,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sK20(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_119 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f99225,plain,
    ( spl21_1195
    | ~ spl21_15
    | ~ spl21_1454
    | ~ spl21_220
    | ~ spl21_1376 ),
    inference(avatar_split_clause,[],[f92786,f92783,f2130,f99222,f412,f69682]) ).

fof(f69682,plain,
    ( spl21_1195
  <=> sz00 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1195])]) ).

fof(f99222,plain,
    ( spl21_1454
  <=> xp = sdtpldt0(sK8,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1454])]) ).

fof(f2130,plain,
    ( spl21_220
  <=> xp = sdtpldt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_220])]) ).

fof(f92783,plain,
    ( spl21_1376
  <=> ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0)
        | sK8 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1376])]) ).

fof(f92786,plain,
    ( xp != sdtpldt0(sK8,xr)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sK8
    | ~ spl21_220
    | ~ spl21_1376 ),
    inference(superposition,[],[f92784,f2132]) ).

fof(f2132,plain,
    ( xp = sdtpldt0(sz00,xp)
    | ~ spl21_220 ),
    inference(avatar_component_clause,[],[f2130]) ).

fof(f92784,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(sK8,xr)
        | ~ aNaturalNumber0(X0)
        | sK8 = X0 )
    | ~ spl21_1376 ),
    inference(avatar_component_clause,[],[f92783]) ).

fof(f98614,plain,
    ( spl21_1453
    | ~ spl21_77
    | ~ spl21_1408 ),
    inference(avatar_split_clause,[],[f97467,f95210,f724,f98611]) ).

fof(f98611,plain,
    ( spl21_1453
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1453])]) ).

fof(f95210,plain,
    ( spl21_1408
  <=> aNaturalNumber0(sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1408])]) ).

fof(f97467,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | ~ spl21_77
    | ~ spl21_1408 ),
    inference(resolution,[],[f95211,f725]) ).

fof(f95211,plain,
    ( aNaturalNumber0(sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | ~ spl21_1408 ),
    inference(avatar_component_clause,[],[f95210]) ).

fof(f98609,plain,
    ( spl21_1452
    | ~ spl21_76
    | ~ spl21_1408 ),
    inference(avatar_split_clause,[],[f97466,f95210,f720,f98606]) ).

fof(f98606,plain,
    ( spl21_1452
  <=> sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1452])]) ).

fof(f97466,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sz00)
    | ~ spl21_76
    | ~ spl21_1408 ),
    inference(resolution,[],[f95211,f721]) ).

fof(f98604,plain,
    ( spl21_1451
    | ~ spl21_81
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97097,f92770,f740,f98601]) ).

fof(f98601,plain,
    ( spl21_1451
  <=> sdtpldt0(sK8,xm) = sdtpldt0(sz00,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1451])]) ).

fof(f97097,plain,
    ( sdtpldt0(sK8,xm) = sdtpldt0(sz00,sdtpldt0(sK8,xm))
    | ~ spl21_81
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f741]) ).

fof(f98599,plain,
    ( spl21_1450
    | ~ spl21_80
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97096,f92770,f736,f98596]) ).

fof(f98596,plain,
    ( spl21_1450
  <=> sdtpldt0(sK8,xm) = sdtpldt0(sdtpldt0(sK8,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1450])]) ).

fof(f97096,plain,
    ( sdtpldt0(sK8,xm) = sdtpldt0(sdtpldt0(sK8,xm),sz00)
    | ~ spl21_80
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f737]) ).

fof(f98594,plain,
    ( spl21_1449
    | ~ spl21_79
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97095,f92770,f732,f98591]) ).

fof(f98591,plain,
    ( spl21_1449
  <=> sdtpldt0(sK8,xm) = sdtasdt0(sz10,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1449])]) ).

fof(f97095,plain,
    ( sdtpldt0(sK8,xm) = sdtasdt0(sz10,sdtpldt0(sK8,xm))
    | ~ spl21_79
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f733]) ).

fof(f98589,plain,
    ( spl21_1448
    | ~ spl21_78
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97094,f92770,f728,f98586]) ).

fof(f98586,plain,
    ( spl21_1448
  <=> sdtpldt0(sK8,xm) = sdtasdt0(sdtpldt0(sK8,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1448])]) ).

fof(f97094,plain,
    ( sdtpldt0(sK8,xm) = sdtasdt0(sdtpldt0(sK8,xm),sz10)
    | ~ spl21_78
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f729]) ).

fof(f98584,plain,
    ( ~ spl21_1447
    | ~ spl21_281
    | ~ spl21_381
    | spl21_1315 ),
    inference(avatar_split_clause,[],[f93629,f78772,f6340,f4964,f98581]) ).

fof(f98581,plain,
    ( spl21_1447
  <=> iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1447])]) ).

fof(f4964,plain,
    ( spl21_281
  <=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_281])]) ).

fof(f6340,plain,
    ( spl21_381
  <=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_381])]) ).

fof(f78772,plain,
    ( spl21_1315
  <=> iLess0(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1315])]) ).

fof(f93629,plain,
    ( ~ iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xn,xp))
    | ~ spl21_281
    | ~ spl21_381
    | spl21_1315 ),
    inference(forward_demodulation,[],[f78774,f12439]) ).

fof(f12439,plain,
    ( sdtpldt0(xp,sdtpldt0(xn,xm)) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_281
    | ~ spl21_381 ),
    inference(superposition,[],[f6342,f4966]) ).

fof(f4966,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm))
    | ~ spl21_281 ),
    inference(avatar_component_clause,[],[f4964]) ).

fof(f6342,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_381 ),
    inference(avatar_component_clause,[],[f6340]) ).

fof(f78774,plain,
    ( ~ iLess0(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xn,xp))
    | spl21_1315 ),
    inference(avatar_component_clause,[],[f78772]) ).

fof(f98204,plain,
    ( spl21_1446
    | ~ spl21_77
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97093,f92770,f724,f98201]) ).

fof(f98201,plain,
    ( spl21_1446
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1446])]) ).

fof(f97093,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK8,xm))
    | ~ spl21_77
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f725]) ).

fof(f98199,plain,
    ( spl21_1445
    | ~ spl21_76
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97092,f92770,f720,f98196]) ).

fof(f98196,plain,
    ( spl21_1445
  <=> sz00 = sdtasdt0(sdtpldt0(sK8,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1445])]) ).

fof(f97092,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK8,xm),sz00)
    | ~ spl21_76
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f721]) ).

fof(f98186,plain,
    ( spl21_1444
    | ~ spl21_35
    | ~ spl21_1408 ),
    inference(avatar_split_clause,[],[f97465,f95210,f512,f98183]) ).

fof(f98183,plain,
    ( spl21_1444
  <=> sP5(sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1444])]) ).

fof(f97465,plain,
    ( sP5(sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | ~ spl21_35
    | ~ spl21_1408 ),
    inference(resolution,[],[f95211,f513]) ).

fof(f98177,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1443
    | ~ spl21_148
    | ~ spl21_267
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97735,f92770,f92131,f6340,f4964,f4167,f1706,f98175,f372,f92770]) ).

fof(f98175,plain,
    ( spl21_1443
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(xp,X0)
        | sP2(sdtpldt0(sK8,xm),X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1443])]) ).

fof(f1706,plain,
    ( spl21_148
  <=> ! [X2,X0,X1] :
        ( sP3(X1,X2)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_148])]) ).

fof(f97735,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_148
    | ~ spl21_267
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(forward_demodulation,[],[f97734,f97118]) ).

fof(f97734,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_148
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368 ),
    inference(forward_demodulation,[],[f92197,f12439]) ).

fof(f92197,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_148
    | ~ spl21_281
    | ~ spl21_1368 ),
    inference(forward_demodulation,[],[f92158,f4966]) ).

fof(f92158,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_148
    | ~ spl21_1368 ),
    inference(superposition,[],[f1707,f92133]) ).

fof(f1707,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,X2)
        | sP3(X1,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_148 ),
    inference(avatar_component_clause,[],[f1706]) ).

fof(f98171,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1442
    | ~ spl21_145
    | ~ spl21_267
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97737,f92770,f92131,f6340,f4964,f4167,f1679,f98169,f372,f92770]) ).

fof(f98169,plain,
    ( spl21_1442
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(xp,X0)
        | sP2(sdtpldt0(sK8,xm),X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1442])]) ).

fof(f1679,plain,
    ( spl21_145
  <=> ! [X2,X0,X1] :
        ( sP3(X1,X2)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_145])]) ).

fof(f97737,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_145
    | ~ spl21_267
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368
    | ~ spl21_1374 ),
    inference(forward_demodulation,[],[f97736,f97118]) ).

fof(f97736,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_145
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1368 ),
    inference(forward_demodulation,[],[f92193,f12439]) ).

fof(f92193,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_145
    | ~ spl21_281
    | ~ spl21_1368 ),
    inference(forward_demodulation,[],[f92157,f4966]) ).

fof(f92157,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_145
    | ~ spl21_1368 ),
    inference(superposition,[],[f1680,f92133]) ).

fof(f1680,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,X2)
        | sP3(X1,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_145 ),
    inference(avatar_component_clause,[],[f1679]) ).

fof(f98165,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1441
    | ~ spl21_267
    | ~ spl21_1368
    | ~ spl21_1370
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97733,f92770,f92246,f92131,f4167,f98163,f372,f92770]) ).

fof(f98163,plain,
    ( spl21_1441
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(sdtpldt0(sK8,xm),X0)
        | sP3(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1441])]) ).

fof(f92246,plain,
    ( spl21_1370
  <=> ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1370])]) ).

fof(f97733,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(sK8,xm)))
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(xp,X0)
        | sP2(sdtpldt0(sK8,xm),X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_267
    | ~ spl21_1368
    | ~ spl21_1370
    | ~ spl21_1374 ),
    inference(forward_demodulation,[],[f92306,f97118]) ).

fof(f92306,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(xp,X0)
        | sP2(sdtpldt0(sK8,xm),X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(sK8,xm),xp))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_1368
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f92133]) ).

fof(f92247,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1370 ),
    inference(avatar_component_clause,[],[f92246]) ).

fof(f98118,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1440
    | ~ spl21_137
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92156,f92131,f1481,f98116,f372,f92770]) ).

fof(f98116,plain,
    ( spl21_1440
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sK8,xm) = X0
        | ~ sdtlseqdt0(sdtpldt0(sK8,xm),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1440])]) ).

fof(f1481,plain,
    ( spl21_137
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_137])]) ).

fof(f92156,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(sdtpldt0(sK8,xm),X0)
        | sdtpldt0(sK8,xm) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_137
    | ~ spl21_1368 ),
    inference(superposition,[],[f1482,f92133]) ).

fof(f1482,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_137 ),
    inference(avatar_component_clause,[],[f1481]) ).

fof(f98069,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1439
    | ~ spl21_137
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92155,f92131,f1481,f98067,f372,f92770]) ).

fof(f98067,plain,
    ( spl21_1439
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sK8,xm) = X0
        | ~ sdtlseqdt0(X0,sdtpldt0(sK8,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1439])]) ).

fof(f92155,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(X0,sdtpldt0(sK8,xm))
        | sdtpldt0(sK8,xm) = X0
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_137
    | ~ spl21_1368 ),
    inference(superposition,[],[f1482,f92133]) ).

fof(f98030,plain,
    ( ~ spl21_7
    | ~ spl21_1374
    | spl21_1438
    | ~ spl21_136
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92154,f92131,f1477,f98028,f92770,f372]) ).

fof(f98028,plain,
    ( spl21_1438
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sdtpldt0(sK8,xm),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1438])]) ).

fof(f1477,plain,
    ( spl21_136
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_136])]) ).

fof(f92154,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sdtpldt0(sK8,xm),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_136
    | ~ spl21_1368 ),
    inference(superposition,[],[f1478,f92133]) ).

fof(f1478,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_136 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f97989,plain,
    ( ~ spl21_7
    | ~ spl21_1374
    | spl21_1437
    | ~ spl21_136
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92153,f92131,f1477,f97987,f92770,f372]) ).

fof(f97987,plain,
    ( spl21_1437
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(sdtpldt0(sK8,xm),X0))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1437])]) ).

fof(f92153,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(sdtpldt0(sK8,xm),X0))
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_136
    | ~ spl21_1368 ),
    inference(superposition,[],[f1478,f92133]) ).

fof(f97978,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1436
    | ~ spl21_132
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92152,f92131,f1372,f97976,f372,f92770]) ).

fof(f97976,plain,
    ( spl21_1436
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sdtpldt0(sK8,xm))
        | doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1436])]) ).

fof(f1372,plain,
    ( spl21_132
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,X2)
        | ~ doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_132])]) ).

fof(f92152,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | doDivides0(X0,xp)
        | ~ doDivides0(X0,sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_132
    | ~ spl21_1368 ),
    inference(superposition,[],[f1373,f92133]) ).

fof(f1373,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,sdtpldt0(X1,X2))
        | doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_132 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f97872,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1435
    | ~ spl21_131
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92151,f92131,f1368,f97870,f372,f92770]) ).

fof(f97870,plain,
    ( spl21_1435
  <=> ! [X0] :
        ( doDivides0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sdtpldt0(sK8,xm))
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1435])]) ).

fof(f1368,plain,
    ( spl21_131
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_131])]) ).

fof(f92151,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,xp)
        | ~ doDivides0(X0,sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_131
    | ~ spl21_1368 ),
    inference(superposition,[],[f1369,f92133]) ).

fof(f1369,plain,
    ( ! [X2,X0,X1] :
        ( doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_131 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f97862,plain,
    ( ~ spl21_7
    | ~ spl21_1374
    | spl21_1434
    | ~ spl21_128
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92150,f92131,f1330,f97860,f92770,f372]) ).

fof(f97860,plain,
    ( spl21_1434
  <=> ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(xr,sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sK8,xm) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1434])]) ).

fof(f1330,plain,
    ( spl21_128
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_128])]) ).

fof(f92150,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(xr,sdtpldt0(sK8,xm))
        | sdtpldt0(sK8,xm) = X0
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_128
    | ~ spl21_1368 ),
    inference(superposition,[],[f1331,f92133]) ).

fof(f1331,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_128 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f97857,plain,
    ( ~ spl21_1374
    | ~ spl21_7
    | spl21_1433
    | ~ spl21_127
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92148,f92131,f1326,f97855,f372,f92770]) ).

fof(f97855,plain,
    ( spl21_1433
  <=> ! [X0] :
        ( sdtpldt0(xr,sdtpldt0(sK8,xm)) != sdtpldt0(sdtpldt0(sK8,xm),X0)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1433])]) ).

fof(f1326,plain,
    ( spl21_127
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_127])]) ).

fof(f92148,plain,
    ( ! [X0] :
        ( sdtpldt0(xr,sdtpldt0(sK8,xm)) != sdtpldt0(sdtpldt0(sK8,xm),X0)
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(sK8,xm)) )
    | ~ spl21_127
    | ~ spl21_1368 ),
    inference(superposition,[],[f1327,f92133]) ).

fof(f1327,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_127 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f97814,plain,
    ( ~ spl21_1374
    | ~ spl21_1408
    | ~ spl21_7
    | spl21_1432
    | ~ spl21_117
    | ~ spl21_1368 ),
    inference(avatar_split_clause,[],[f92146,f92131,f1138,f97811,f372,f95210,f92770]) ).

fof(f97811,plain,
    ( spl21_1432
  <=> sdtlseqdt0(sdtpldt0(sK8,xm),sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1432])]) ).

fof(f1138,plain,
    ( spl21_117
  <=> ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_117])]) ).

fof(f92146,plain,
    ( sdtlseqdt0(sdtpldt0(sK8,xm),sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | ~ aNaturalNumber0(sdtpldt0(sK8,xm))
    | ~ spl21_117
    | ~ spl21_1368 ),
    inference(superposition,[],[f1139,f92133]) ).

fof(f1139,plain,
    ( ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_117 ),
    inference(avatar_component_clause,[],[f1138]) ).

fof(f97732,plain,
    ( ~ spl21_7
    | ~ spl21_1374
    | ~ spl21_83
    | spl21_1409 ),
    inference(avatar_split_clause,[],[f95222,f95214,f860,f92770,f372]) ).

fof(f95214,plain,
    ( spl21_1409
  <=> aNaturalNumber0(sdtpldt0(xp,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1409])]) ).

fof(f95222,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xm))
    | ~ aNaturalNumber0(xp)
    | ~ spl21_83
    | spl21_1409 ),
    inference(resolution,[],[f95216,f861]) ).

fof(f95216,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xp,sdtpldt0(sK8,xm)))
    | spl21_1409 ),
    inference(avatar_component_clause,[],[f95214]) ).

fof(f97464,plain,
    ( ~ spl21_2
    | ~ spl21_1374
    | ~ spl21_83
    | spl21_1408 ),
    inference(avatar_split_clause,[],[f95221,f95210,f860,f92770,f347]) ).

fof(f95221,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_83
    | spl21_1408 ),
    inference(resolution,[],[f95212,f861]) ).

fof(f95212,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | spl21_1408 ),
    inference(avatar_component_clause,[],[f95210]) ).

fof(f97419,plain,
    ( ~ spl21_1147
    | ~ spl21_7
    | ~ spl21_476
    | spl21_1419 ),
    inference(avatar_split_clause,[],[f95760,f95755,f8630,f372,f66819]) ).

fof(f66819,plain,
    ( spl21_1147
  <=> doDivides0(xp,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1147])]) ).

fof(f8630,plain,
    ( spl21_476
  <=> ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_476])]) ).

fof(f95755,plain,
    ( spl21_1419
  <=> doDivides0(xp,sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1419])]) ).

fof(f95760,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ doDivides0(xp,xp)
    | ~ spl21_476
    | spl21_1419 ),
    inference(resolution,[],[f95757,f8631]) ).

fof(f8631,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) )
    | ~ spl21_476 ),
    inference(avatar_component_clause,[],[f8630]) ).

fof(f95757,plain,
    ( ~ doDivides0(xp,sdtasdt0(sK11,xr))
    | spl21_1419 ),
    inference(avatar_component_clause,[],[f95755]) ).

fof(f97418,plain,
    ( ~ spl21_1431
    | ~ spl21_7
    | ~ spl21_478
    | spl21_1419 ),
    inference(avatar_split_clause,[],[f95759,f95755,f8686,f372,f97415]) ).

fof(f97415,plain,
    ( spl21_1431
  <=> doDivides0(xp,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1431])]) ).

fof(f8686,plain,
    ( spl21_478
  <=> ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_478])]) ).

fof(f95759,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ doDivides0(xp,xr)
    | ~ spl21_478
    | spl21_1419 ),
    inference(resolution,[],[f95757,f8687]) ).

fof(f8687,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) )
    | ~ spl21_478 ),
    inference(avatar_component_clause,[],[f8686]) ).

fof(f97413,plain,
    ( spl21_152
    | ~ spl21_2
    | ~ spl21_1375 ),
    inference(avatar_split_clause,[],[f92781,f92776,f347,f1752]) ).

fof(f92781,plain,
    ( ~ aNaturalNumber0(xr)
    | xp = xr
    | ~ spl21_1375 ),
    inference(equality_resolution,[],[f92777]) ).

fof(f97380,plain,
    ( spl21_1430
    | ~ spl21_35
    | ~ spl21_1374 ),
    inference(avatar_split_clause,[],[f97091,f92770,f512,f97377]) ).

fof(f97377,plain,
    ( spl21_1430
  <=> sP5(sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1430])]) ).

fof(f97091,plain,
    ( sP5(sdtpldt0(sK8,xm))
    | ~ spl21_35
    | ~ spl21_1374 ),
    inference(resolution,[],[f92771,f513]) ).

fof(f97370,plain,
    ( ~ spl21_8
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_11
    | ~ spl21_1428
    | spl21_1307
    | spl21_1305
    | ~ spl21_1429
    | ~ spl21_1368
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f92375,f92246,f92131,f97367,f78070,f78083,f97363,f392,f372,f367,f377]) ).

fof(f367,plain,
    ( spl21_6
  <=> aNaturalNumber0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).

fof(f392,plain,
    ( spl21_11
  <=> isPrime0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).

fof(f97363,plain,
    ( spl21_1428
  <=> doDivides0(xp,sdtasdt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1428])]) ).

fof(f78083,plain,
    ( spl21_1307
  <=> sP2(sK8,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1307])]) ).

fof(f78070,plain,
    ( spl21_1305
  <=> sP3(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1305])]) ).

fof(f97367,plain,
    ( spl21_1429
  <=> iLess0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1429])]) ).

fof(f92375,plain,
    ( ~ iLess0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | sP3(xm,xp)
    | sP2(sK8,xp)
    | ~ doDivides0(xp,sdtasdt0(sK8,xm))
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_1368
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f92133]) ).

fof(f97086,plain,
    ( ~ spl21_8
    | ~ spl21_6
    | ~ spl21_83
    | spl21_1374 ),
    inference(avatar_split_clause,[],[f92774,f92770,f860,f367,f377]) ).

fof(f92774,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_83
    | spl21_1374 ),
    inference(resolution,[],[f92772,f861]) ).

fof(f92772,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xm))
    | spl21_1374 ),
    inference(avatar_component_clause,[],[f92770]) ).

fof(f97077,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1427
    | ~ spl21_148
    | ~ spl21_381
    | ~ spl21_396 ),
    inference(avatar_split_clause,[],[f12470,f6478,f6340,f1706,f97075,f372,f1760]) ).

fof(f1760,plain,
    ( spl21_154
  <=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_154])]) ).

fof(f97075,plain,
    ( spl21_1427
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(xp,X0)
        | sP2(sdtpldt0(xn,xm),X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1427])]) ).

fof(f6478,plain,
    ( spl21_396
  <=> sdtasdt0(xp,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_396])]) ).

fof(f12470,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(xn,xm),X0)
        | sP3(xp,X0)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_148
    | ~ spl21_381
    | ~ spl21_396 ),
    inference(forward_demodulation,[],[f12460,f6480]) ).

fof(f6480,plain,
    ( sdtasdt0(xp,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xp)
    | ~ spl21_396 ),
    inference(avatar_component_clause,[],[f6478]) ).

fof(f12460,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(sdtpldt0(xn,xm),X0)
        | sP3(xp,X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),xp))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_148
    | ~ spl21_381 ),
    inference(superposition,[],[f1707,f6342]) ).

fof(f97065,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1426
    | ~ spl21_381
    | ~ spl21_396
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f93711,f92246,f6478,f6340,f97063,f372,f1760]) ).

fof(f97063,plain,
    ( spl21_1426
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(sdtpldt0(xn,xm),X0)
        | sP3(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1426])]) ).

fof(f93711,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(xp,X0)
        | sP2(sdtpldt0(xn,xm),X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_381
    | ~ spl21_396
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f93701,f6480]) ).

fof(f93701,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(xp,X0)
        | sP2(sdtpldt0(xn,xm),X0)
        | ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),xp))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_381
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f6342]) ).

fof(f96387,plain,
    ( spl21_1425
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1028 ),
    inference(avatar_split_clause,[],[f93601,f50132,f6340,f4964,f96385]) ).

fof(f96385,plain,
    ( spl21_1425
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1425])]) ).

fof(f50132,plain,
    ( spl21_1028
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1028])]) ).

fof(f93601,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1028 ),
    inference(forward_demodulation,[],[f50133,f12439]) ).

fof(f50133,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1028 ),
    inference(avatar_component_clause,[],[f50132]) ).

fof(f96383,plain,
    ( spl21_1424
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1026 ),
    inference(avatar_split_clause,[],[f93599,f49927,f6340,f4964,f96381]) ).

fof(f96381,plain,
    ( spl21_1424
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1424])]) ).

fof(f49927,plain,
    ( spl21_1026
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1026])]) ).

fof(f93599,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1026 ),
    inference(forward_demodulation,[],[f49928,f12439]) ).

fof(f49928,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_1026 ),
    inference(avatar_component_clause,[],[f49927]) ).

fof(f96379,plain,
    ( spl21_1423
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1023 ),
    inference(avatar_split_clause,[],[f93597,f49705,f6340,f4964,f96377]) ).

fof(f96377,plain,
    ( spl21_1423
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1423])]) ).

fof(f49705,plain,
    ( spl21_1023
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1023])]) ).

fof(f93597,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1023 ),
    inference(forward_demodulation,[],[f49706,f12439]) ).

fof(f49706,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_1023 ),
    inference(avatar_component_clause,[],[f49705]) ).

fof(f96375,plain,
    ( spl21_1422
    | ~ spl21_148
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12441,f6340,f1706,f96373]) ).

fof(f96373,plain,
    ( spl21_1422
  <=> ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X2)
        | sP3(X1,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1422])]) ).

fof(f12441,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X2)
        | sP3(X1,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_148
    | ~ spl21_381 ),
    inference(superposition,[],[f1707,f6342]) ).

fof(f96226,plain,
    ( spl21_1421
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1021 ),
    inference(avatar_split_clause,[],[f93595,f49504,f6340,f4964,f96224]) ).

fof(f96224,plain,
    ( spl21_1421
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1421])]) ).

fof(f49504,plain,
    ( spl21_1021
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1021])]) ).

fof(f93595,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1021 ),
    inference(forward_demodulation,[],[f49505,f12439]) ).

fof(f49505,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_1021 ),
    inference(avatar_component_clause,[],[f49504]) ).

fof(f96220,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | ~ spl21_1388
    | spl21_1420
    | ~ spl21_584
    | ~ spl21_49
    | ~ spl21_140
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f6322,f5262,f1598,f596,f12647,f96217,f93987,f372,f1760]) ).

fof(f93987,plain,
    ( spl21_1388
  <=> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1388])]) ).

fof(f96217,plain,
    ( spl21_1420
  <=> xp = sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1420])]) ).

fof(f12647,plain,
    ( spl21_584
  <=> aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_584])]) ).

fof(f596,plain,
    ( spl21_49
  <=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).

fof(f1598,plain,
    ( spl21_140
  <=> ! [X2,X0] :
        ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_140])]) ).

fof(f6322,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | xp = sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_140
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f6321,f5264]) ).

fof(f6321,plain,
    ( xp = sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_140
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f6320,f5264]) ).

fof(f6320,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(xp)
    | xp = sdtmndt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_140
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f1606,f5264]) ).

fof(f1606,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xr))
    | ~ aNaturalNumber0(xp)
    | xp = sdtmndt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_140 ),
    inference(superposition,[],[f1599,f598]) ).

fof(f598,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
    | ~ spl21_49 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1599,plain,
    ( ! [X2,X0] :
        ( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | sdtmndt0(sdtpldt0(X0,X2),X0) = X2
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_140 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f95758,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_11
    | spl21_1304
    | spl21_1305
    | ~ spl21_1418
    | ~ spl21_1419
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_381
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f93703,f92246,f6340,f4175,f670,f407,f95755,f95751,f78070,f78066,f392,f372,f367,f362]) ).

fof(f362,plain,
    ( spl21_5
  <=> aNaturalNumber0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).

fof(f78066,plain,
    ( spl21_1304
  <=> sP2(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1304])]) ).

fof(f95751,plain,
    ( spl21_1418
  <=> iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1418])]) ).

fof(f407,plain,
    ( spl21_14
  <=> aNaturalNumber0(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).

fof(f670,plain,
    ( spl21_65
  <=> sdtasdt0(xn,xm) = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).

fof(f93703,plain,
    ( ~ doDivides0(xp,sdtasdt0(sK11,xr))
    | ~ iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_381
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f93702,f4728]) ).

fof(f4728,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(sK11,xr)
    | ~ spl21_14
    | ~ spl21_269 ),
    inference(resolution,[],[f4176,f409]) ).

fof(f409,plain,
    ( aNaturalNumber0(sK11)
    | ~ spl21_14 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f93702,plain,
    ( ~ doDivides0(xp,sdtasdt0(xr,sK11))
    | ~ iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_65
    | ~ spl21_381
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f93649,f672]) ).

fof(f672,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK11)
    | ~ spl21_65 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f93649,plain,
    ( ~ iLess0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(sK8,xm)))
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_381
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f6342]) ).

fof(f95749,plain,
    ( spl21_1417
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1019 ),
    inference(avatar_split_clause,[],[f93594,f49481,f6340,f4964,f95747]) ).

fof(f95747,plain,
    ( spl21_1417
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1417])]) ).

fof(f49481,plain,
    ( spl21_1019
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1019])]) ).

fof(f93594,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1019 ),
    inference(forward_demodulation,[],[f49482,f12439]) ).

fof(f49482,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_1019 ),
    inference(avatar_component_clause,[],[f49481]) ).

fof(f95745,plain,
    ( spl21_1416
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1018 ),
    inference(avatar_split_clause,[],[f93589,f49405,f6340,f4964,f95743]) ).

fof(f95743,plain,
    ( spl21_1416
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1416])]) ).

fof(f49405,plain,
    ( spl21_1018
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1018])]) ).

fof(f93589,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1018 ),
    inference(forward_demodulation,[],[f49406,f12439]) ).

fof(f49406,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_1018 ),
    inference(avatar_component_clause,[],[f49405]) ).

fof(f95741,plain,
    ( spl21_1415
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1017 ),
    inference(avatar_split_clause,[],[f93588,f49399,f6340,f4964,f95739]) ).

fof(f95739,plain,
    ( spl21_1415
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1415])]) ).

fof(f49399,plain,
    ( spl21_1017
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1017])]) ).

fof(f93588,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1017 ),
    inference(forward_demodulation,[],[f49400,f12439]) ).

fof(f49400,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_1017 ),
    inference(avatar_component_clause,[],[f49399]) ).

fof(f95737,plain,
    ( spl21_1414
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1015 ),
    inference(avatar_split_clause,[],[f93587,f49387,f6340,f4964,f95735]) ).

fof(f95735,plain,
    ( spl21_1414
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1414])]) ).

fof(f49387,plain,
    ( spl21_1015
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1015])]) ).

fof(f93587,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1015 ),
    inference(forward_demodulation,[],[f49388,f12439]) ).

fof(f49388,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_1015 ),
    inference(avatar_component_clause,[],[f49387]) ).

fof(f95733,plain,
    ( spl21_1413
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1014 ),
    inference(avatar_split_clause,[],[f93586,f49381,f6340,f4964,f95731]) ).

fof(f95731,plain,
    ( spl21_1413
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1413])]) ).

fof(f49381,plain,
    ( spl21_1014
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1014])]) ).

fof(f93586,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1014 ),
    inference(forward_demodulation,[],[f49382,f12439]) ).

fof(f49382,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1014 ),
    inference(avatar_component_clause,[],[f49381]) ).

fof(f95729,plain,
    ( spl21_1412
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1013 ),
    inference(avatar_split_clause,[],[f93585,f49375,f6340,f4964,f95727]) ).

fof(f95727,plain,
    ( spl21_1412
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1412])]) ).

fof(f49375,plain,
    ( spl21_1013
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1013])]) ).

fof(f93585,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1013 ),
    inference(forward_demodulation,[],[f49376,f12439]) ).

fof(f49376,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_1013 ),
    inference(avatar_component_clause,[],[f49375]) ).

fof(f95594,plain,
    ( spl21_1411
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1012 ),
    inference(avatar_split_clause,[],[f93584,f49369,f6340,f4964,f95592]) ).

fof(f95592,plain,
    ( spl21_1411
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1411])]) ).

fof(f49369,plain,
    ( spl21_1012
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1012])]) ).

fof(f93584,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1012 ),
    inference(forward_demodulation,[],[f49370,f12439]) ).

fof(f49370,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1012 ),
    inference(avatar_component_clause,[],[f49369]) ).

fof(f95220,plain,
    ( ~ spl21_1408
    | ~ spl21_1409
    | spl21_1410
    | ~ spl21_126
    | ~ spl21_1369 ),
    inference(avatar_split_clause,[],[f93719,f92136,f1294,f95218,f95214,f95210]) ).

fof(f95218,plain,
    ( spl21_1410
  <=> ! [X0] :
        ( sdtlseqdt0(X0,sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1410])]) ).

fof(f1294,plain,
    ( spl21_126
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X1,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_126])]) ).

fof(f92136,plain,
    ( spl21_1369
  <=> sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(xp,sdtpldt0(sK8,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1369])]) ).

fof(f93719,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ sdtlseqdt0(X0,sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_126
    | ~ spl21_1369 ),
    inference(resolution,[],[f92138,f1295]) ).

fof(f1295,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_126 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f92138,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(xp,sdtpldt0(sK8,xm)))
    | ~ spl21_1369 ),
    inference(avatar_component_clause,[],[f92136]) ).

fof(f95208,plain,
    ( spl21_1407
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1011 ),
    inference(avatar_split_clause,[],[f93583,f49363,f6340,f4964,f95206]) ).

fof(f95206,plain,
    ( spl21_1407
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1407])]) ).

fof(f49363,plain,
    ( spl21_1011
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1011])]) ).

fof(f93583,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1011 ),
    inference(forward_demodulation,[],[f49364,f12439]) ).

fof(f49364,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_1011 ),
    inference(avatar_component_clause,[],[f49363]) ).

fof(f95204,plain,
    ( spl21_1406
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1010 ),
    inference(avatar_split_clause,[],[f93582,f49289,f6340,f4964,f95202]) ).

fof(f95202,plain,
    ( spl21_1406
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1406])]) ).

fof(f49289,plain,
    ( spl21_1010
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1010])]) ).

fof(f93582,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1010 ),
    inference(forward_demodulation,[],[f49290,f12439]) ).

fof(f49290,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_1010 ),
    inference(avatar_component_clause,[],[f49289]) ).

fof(f95194,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_1405
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_265
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f93254,f92246,f4159,f535,f377,f95192,f377,f362]) ).

fof(f95192,plain,
    ( spl21_1405
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xn,X0)
        | sP3(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1405])]) ).

fof(f535,plain,
    ( spl21_37
  <=> xp = sdtpldt0(xn,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).

fof(f93254,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK8,X0)
        | sP2(xn,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_265
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f92309,f4598]) ).

fof(f4598,plain,
    ( sdtasdt0(xn,sK8) = sdtasdt0(sK8,xn)
    | ~ spl21_8
    | ~ spl21_265 ),
    inference(resolution,[],[f4160,f379]) ).

fof(f379,plain,
    ( aNaturalNumber0(sK8)
    | ~ spl21_8 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f92309,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK8,X0)
        | sP2(xn,X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f537]) ).

fof(f537,plain,
    ( xp = sdtpldt0(xn,sK8)
    | ~ spl21_37 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f95182,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_1404
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_269
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f92690,f92246,f4175,f556,f402,f95180,f402,f347]) ).

fof(f95180,plain,
    ( spl21_1404
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xr,X0)
        | sP3(sK12,X0)
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1404])]) ).

fof(f402,plain,
    ( spl21_13
  <=> aNaturalNumber0(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).

fof(f556,plain,
    ( spl21_41
  <=> xk = sdtpldt0(xr,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).

fof(f92690,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK12,X0)
        | sP2(xr,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_269
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f92326,f4729]) ).

fof(f4729,plain,
    ( sdtasdt0(xr,sK12) = sdtasdt0(sK12,xr)
    | ~ spl21_13
    | ~ spl21_269 ),
    inference(resolution,[],[f4176,f404]) ).

fof(f404,plain,
    ( aNaturalNumber0(sK12)
    | ~ spl21_13 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f92326,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK12,X0)
        | sP2(xr,X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f558]) ).

fof(f558,plain,
    ( xk = sdtpldt0(xr,sK12)
    | ~ spl21_41 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f95172,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_1403
    | ~ spl21_10
    | ~ spl21_39
    | ~ spl21_268
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f92689,f92246,f4171,f545,f387,f95170,f387,f342]) ).

fof(f342,plain,
    ( spl21_1
  <=> aNaturalNumber0(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f95170,plain,
    ( spl21_1403
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xk,X0)
        | sP3(sK9,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1403])]) ).

fof(f387,plain,
    ( spl21_10
  <=> aNaturalNumber0(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).

fof(f545,plain,
    ( spl21_39
  <=> xp = sdtpldt0(xk,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).

fof(f92689,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK9,X0)
        | sP2(xk,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_10
    | ~ spl21_39
    | ~ spl21_268
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f92324,f4696]) ).

fof(f4696,plain,
    ( sdtasdt0(xk,sK9) = sdtasdt0(sK9,xk)
    | ~ spl21_10
    | ~ spl21_268 ),
    inference(resolution,[],[f4172,f389]) ).

fof(f389,plain,
    ( aNaturalNumber0(sK9)
    | ~ spl21_10 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f92324,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK9,X0)
        | sP2(xk,X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_39
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f547]) ).

fof(f547,plain,
    ( xp = sdtpldt0(xk,sK9)
    | ~ spl21_39 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f95162,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_1402
    | ~ spl21_9
    | ~ spl21_38
    | ~ spl21_266
    | ~ spl21_1370 ),
    inference(avatar_split_clause,[],[f92677,f92246,f4163,f540,f382,f95160,f382,f367]) ).

fof(f95160,plain,
    ( spl21_1402
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xm,X0)
        | sP3(sK7,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1402])]) ).

fof(f382,plain,
    ( spl21_9
  <=> aNaturalNumber0(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f540,plain,
    ( spl21_38
  <=> xp = sdtpldt0(xm,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).

fof(f92677,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK7,X0)
        | sP2(xm,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_9
    | ~ spl21_38
    | ~ spl21_266
    | ~ spl21_1370 ),
    inference(forward_demodulation,[],[f92315,f4628]) ).

fof(f4628,plain,
    ( sdtasdt0(xm,sK7) = sdtasdt0(sK7,xm)
    | ~ spl21_9
    | ~ spl21_266 ),
    inference(resolution,[],[f4164,f384]) ).

fof(f384,plain,
    ( aNaturalNumber0(sK7)
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f92315,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(sK7,X0)
        | sP2(xm,X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_38
    | ~ spl21_1370 ),
    inference(superposition,[],[f92247,f542]) ).

fof(f542,plain,
    ( xp = sdtpldt0(xm,sK7)
    | ~ spl21_38 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f94846,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_1401
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_265
    | ~ spl21_382 ),
    inference(avatar_split_clause,[],[f12576,f6360,f4159,f535,f377,f94844,f377,f362]) ).

fof(f94844,plain,
    ( spl21_1401
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xn,X0)
        | sP3(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1401])]) ).

fof(f6360,plain,
    ( spl21_382
  <=> ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_382])]) ).

fof(f12576,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(sK8,X0)
        | sP2(xn,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_265
    | ~ spl21_382 ),
    inference(forward_demodulation,[],[f12503,f4598]) ).

fof(f12503,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(sK8,X0)
        | sP2(xn,X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_382 ),
    inference(superposition,[],[f6361,f537]) ).

fof(f6361,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_382 ),
    inference(avatar_component_clause,[],[f6360]) ).

fof(f94800,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1400
    | ~ spl21_137
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12458,f6340,f1481,f94798,f372,f1760]) ).

fof(f94798,plain,
    ( spl21_1400
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,xm) = X0
        | ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1400])]) ).

fof(f12458,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
        | sdtpldt0(xn,xm) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_137
    | ~ spl21_381 ),
    inference(superposition,[],[f1482,f6342]) ).

fof(f94752,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1399
    | ~ spl21_137
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12457,f6340,f1481,f94750,f372,f1760]) ).

fof(f94750,plain,
    ( spl21_1399
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,xm) = X0
        | ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1399])]) ).

fof(f12457,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
        | sdtpldt0(xn,xm) = X0
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_137
    | ~ spl21_381 ),
    inference(superposition,[],[f1482,f6342]) ).

fof(f94524,plain,
    ( spl21_1398
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1009 ),
    inference(avatar_split_clause,[],[f93581,f49283,f6340,f4964,f94522]) ).

fof(f94522,plain,
    ( spl21_1398
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1398])]) ).

fof(f49283,plain,
    ( spl21_1009
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1009])]) ).

fof(f93581,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1009 ),
    inference(forward_demodulation,[],[f49284,f12439]) ).

fof(f49284,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_1009 ),
    inference(avatar_component_clause,[],[f49283]) ).

fof(f94469,plain,
    ( ~ spl21_7
    | ~ spl21_154
    | spl21_1397
    | ~ spl21_136
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12456,f6340,f1477,f94467,f1760,f372]) ).

fof(f94467,plain,
    ( spl21_1397
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1397])]) ).

fof(f12456,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_136
    | ~ spl21_381 ),
    inference(superposition,[],[f1478,f6342]) ).

fof(f94412,plain,
    ( ~ spl21_7
    | ~ spl21_154
    | spl21_1396
    | ~ spl21_136
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12455,f6340,f1477,f94410,f1760,f372]) ).

fof(f94410,plain,
    ( spl21_1396
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),X0))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1396])]) ).

fof(f12455,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),X0))
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_136
    | ~ spl21_381 ),
    inference(superposition,[],[f1478,f6342]) ).

fof(f94396,plain,
    ( spl21_1395
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1007 ),
    inference(avatar_split_clause,[],[f93579,f49271,f6340,f4964,f94394]) ).

fof(f94394,plain,
    ( spl21_1395
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1395])]) ).

fof(f49271,plain,
    ( spl21_1007
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1007])]) ).

fof(f93579,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1007 ),
    inference(forward_demodulation,[],[f49272,f12439]) ).

fof(f49272,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_1007 ),
    inference(avatar_component_clause,[],[f49271]) ).

fof(f94392,plain,
    ( spl21_1394
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1006 ),
    inference(avatar_split_clause,[],[f93578,f49265,f6340,f4964,f94390]) ).

fof(f94390,plain,
    ( spl21_1394
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1394])]) ).

fof(f49265,plain,
    ( spl21_1006
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1006])]) ).

fof(f93578,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1006 ),
    inference(forward_demodulation,[],[f49266,f12439]) ).

fof(f49266,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_1006 ),
    inference(avatar_component_clause,[],[f49265]) ).

fof(f94272,plain,
    ( spl21_1393
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1004 ),
    inference(avatar_split_clause,[],[f93577,f49253,f6340,f4964,f94270]) ).

fof(f94270,plain,
    ( spl21_1393
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1393])]) ).

fof(f49253,plain,
    ( spl21_1004
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1004])]) ).

fof(f93577,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1004 ),
    inference(forward_demodulation,[],[f49254,f12439]) ).

fof(f49254,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1004 ),
    inference(avatar_component_clause,[],[f49253]) ).

fof(f94165,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1392
    | ~ spl21_132
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12454,f6340,f1372,f94163,f372,f1760]) ).

fof(f94163,plain,
    ( spl21_1392
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sdtpldt0(xn,xm))
        | doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1392])]) ).

fof(f12454,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | doDivides0(X0,xp)
        | ~ doDivides0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_132
    | ~ spl21_381 ),
    inference(superposition,[],[f1373,f6342]) ).

fof(f94059,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1391
    | ~ spl21_131
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12453,f6340,f1368,f94057,f372,f1760]) ).

fof(f94057,plain,
    ( spl21_1391
  <=> ! [X0] :
        ( doDivides0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sdtpldt0(xn,xm))
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1391])]) ).

fof(f12453,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,xp)
        | ~ doDivides0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_131
    | ~ spl21_381 ),
    inference(superposition,[],[f1369,f6342]) ).

fof(f94050,plain,
    ( ~ spl21_7
    | ~ spl21_154
    | spl21_1390
    | ~ spl21_128
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12452,f6340,f1330,f94048,f1760,f372]) ).

fof(f94048,plain,
    ( spl21_1390
  <=> ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(xr,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,xm) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1390])]) ).

fof(f12452,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(xr,sdtpldt0(xn,xm))
        | sdtpldt0(xn,xm) = X0
        | ~ aNaturalNumber0(sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_128
    | ~ spl21_381 ),
    inference(superposition,[],[f1331,f6342]) ).

fof(f94028,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_1389
    | ~ spl21_127
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12450,f6340,f1326,f94026,f372,f1760]) ).

fof(f12450,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xr,sdtpldt0(xn,xm))
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(xn,xm)) )
    | ~ spl21_127
    | ~ spl21_381 ),
    inference(superposition,[],[f1327,f6342]) ).

fof(f93990,plain,
    ( ~ spl21_154
    | ~ spl21_584
    | ~ spl21_7
    | spl21_1388
    | ~ spl21_117
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12448,f6340,f1138,f93987,f372,f12647,f1760]) ).

fof(f12448,plain,
    ( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_117
    | ~ spl21_381 ),
    inference(superposition,[],[f1139,f6342]) ).

fof(f93985,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_30
    | ~ spl21_1387
    | ~ spl21_110
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12447,f6340,f1091,f93982,f487,f372,f1760]) ).

fof(f487,plain,
    ( spl21_30
  <=> sz00 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).

fof(f93982,plain,
    ( spl21_1387
  <=> sz00 = sdtpldt0(xr,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1387])]) ).

fof(f1091,plain,
    ( spl21_110
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).

fof(f12447,plain,
    ( sz00 != sdtpldt0(xr,sdtpldt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_110
    | ~ spl21_381 ),
    inference(superposition,[],[f1092,f6342]) ).

fof(f1092,plain,
    ( ! [X0,X1] :
        ( sz00 != sdtpldt0(X0,X1)
        | sz00 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_110 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f93980,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1371
    | ~ spl21_83
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92047,f83924,f860,f92755,f372,f377]) ).

fof(f92047,plain,
    ( aNaturalNumber0(sdtpldt0(sK8,xr))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_83
    | ~ spl21_1366 ),
    inference(superposition,[],[f861,f83926]) ).

fof(f83926,plain,
    ( sdtpldt0(sK8,xp) = sdtpldt0(sK8,xr)
    | ~ spl21_1366 ),
    inference(avatar_component_clause,[],[f83924]) ).

fof(f93237,plain,
    ( spl21_1386
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1058
    | ~ spl21_1385 ),
    inference(avatar_split_clause,[],[f93233,f93230,f59771,f6340,f4964,f93235]) ).

fof(f93235,plain,
    ( spl21_1386
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1386])]) ).

fof(f59771,plain,
    ( spl21_1058
  <=> xn = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1058])]) ).

fof(f93230,plain,
    ( spl21_1385
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1385])]) ).

fof(f93233,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1058
    | ~ spl21_1385 ),
    inference(forward_demodulation,[],[f93231,f84787]) ).

fof(f84787,plain,
    ( sdtpldt0(xp,sdtpldt0(sK8,xm)) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f12439,f59772]) ).

fof(f59772,plain,
    ( xn = sK8
    | ~ spl21_1058 ),
    inference(avatar_component_clause,[],[f59771]) ).

fof(f93231,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1385 ),
    inference(avatar_component_clause,[],[f93230]) ).

fof(f93232,plain,
    ( spl21_1385
    | ~ spl21_1004
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84478,f59771,f49253,f93230]) ).

fof(f84478,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1004
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f49254,f59772]) ).

fof(f93197,plain,
    ( spl21_1384
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_804
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f93148,f59771,f49259,f21463,f6340,f4964,f93127]) ).

fof(f93127,plain,
    ( spl21_1384
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP2(sK8,X0)
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1384])]) ).

fof(f21463,plain,
    ( spl21_804
  <=> sK8 = sdtasdt0(xn,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_804])]) ).

fof(f49259,plain,
    ( spl21_1005
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1005])]) ).

fof(f93148,plain,
    ( ! [X0] :
        ( sP2(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_804
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f93147,f59772]) ).

fof(f93147,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_804
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f93146,f84787]) ).

fof(f93146,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_804
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f93145,f59772]) ).

fof(f93145,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_804
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f93144,f75411]) ).

fof(f75411,plain,
    ( sK8 = sdtasdt0(sK8,sK8)
    | ~ spl21_804
    | ~ spl21_1058 ),
    inference(superposition,[],[f21465,f59772]) ).

fof(f21465,plain,
    ( sK8 = sdtasdt0(xn,sK8)
    | ~ spl21_804 ),
    inference(avatar_component_clause,[],[f21463]) ).

fof(f93144,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,sK8))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f49260,f59772]) ).

fof(f49260,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_1005 ),
    inference(avatar_component_clause,[],[f49259]) ).

fof(f93129,plain,
    ( spl21_1384
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1058
    | ~ spl21_1383 ),
    inference(avatar_split_clause,[],[f93125,f93122,f59771,f6340,f4964,f93127]) ).

fof(f93122,plain,
    ( spl21_1383
  <=> ! [X0] :
        ( sP2(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1383])]) ).

fof(f93125,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP2(sK8,X0)
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) )
    | ~ spl21_281
    | ~ spl21_381
    | ~ spl21_1058
    | ~ spl21_1383 ),
    inference(forward_demodulation,[],[f93123,f84787]) ).

fof(f93123,plain,
    ( ! [X0] :
        ( sP2(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) )
    | ~ spl21_1383 ),
    inference(avatar_component_clause,[],[f93122]) ).

fof(f93124,plain,
    ( spl21_1383
    | ~ spl21_729
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84477,f59771,f49259,f18591,f93122]) ).

fof(f18591,plain,
    ( spl21_729
  <=> sK8 = sdtasdt0(sK8,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_729])]) ).

fof(f84477,plain,
    ( ! [X0] :
        ( sP2(sK8,X0)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0) )
    | ~ spl21_729
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f84476,f59772]) ).

fof(f84476,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(sK8,xm)))
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_729
    | ~ spl21_1005
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f84475,f59772]) ).

fof(f84475,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_729
    | ~ spl21_1005 ),
    inference(forward_demodulation,[],[f49260,f18593]) ).

fof(f18593,plain,
    ( sK8 = sdtasdt0(sK8,xn)
    | ~ spl21_729 ),
    inference(avatar_component_clause,[],[f18591]) ).

fof(f93067,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1382
    | ~ spl21_137
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92060,f83924,f1481,f93065,f372,f377]) ).

fof(f93065,plain,
    ( spl21_1382
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(X0)
        | sK8 = X0
        | ~ sdtlseqdt0(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1382])]) ).

fof(f92060,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(X0,xp))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(sK8,X0)
        | sK8 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8) )
    | ~ spl21_137
    | ~ spl21_1366 ),
    inference(superposition,[],[f1482,f83926]) ).

fof(f93010,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1381
    | ~ spl21_137
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92059,f83924,f1481,f93008,f372,f377]) ).

fof(f93008,plain,
    ( spl21_1381
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(X0)
        | sK8 = X0
        | ~ sdtlseqdt0(X0,sK8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1381])]) ).

fof(f92059,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(X0,sK8)
        | sK8 = X0
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_137
    | ~ spl21_1366 ),
    inference(superposition,[],[f1482,f83926]) ).

fof(f92967,plain,
    ( ~ spl21_7
    | ~ spl21_8
    | spl21_1380
    | ~ spl21_136
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92058,f83924,f1477,f92965,f377,f372]) ).

fof(f92965,plain,
    ( spl21_1380
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1380])]) ).

fof(f92058,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(sK8)
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_136
    | ~ spl21_1366 ),
    inference(superposition,[],[f1478,f83926]) ).

fof(f92922,plain,
    ( ~ spl21_7
    | ~ spl21_8
    | spl21_1379
    | ~ spl21_136
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92057,f83924,f1477,f92920,f377,f372]) ).

fof(f92920,plain,
    ( spl21_1379
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(sK8,X0))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1379])]) ).

fof(f92057,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(sK8,X0))
        | ~ aNaturalNumber0(sK8)
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_136
    | ~ spl21_1366 ),
    inference(superposition,[],[f1478,f83926]) ).

fof(f92911,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1378
    | ~ spl21_132
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92056,f83924,f1372,f92909,f372,f377]) ).

fof(f92909,plain,
    ( spl21_1378
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sK8)
        | doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1378])]) ).

fof(f92056,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtpldt0(sK8,xr))
        | doDivides0(X0,xp)
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_132
    | ~ spl21_1366 ),
    inference(superposition,[],[f1373,f83926]) ).

fof(f92805,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1377
    | ~ spl21_131
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92055,f83924,f1368,f92803,f372,f377]) ).

fof(f92803,plain,
    ( spl21_1377
  <=> ! [X0] :
        ( doDivides0(X0,sdtpldt0(sK8,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,sK8)
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1377])]) ).

fof(f92055,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtpldt0(sK8,xr))
        | ~ doDivides0(X0,xp)
        | ~ doDivides0(X0,sK8)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_131
    | ~ spl21_1366 ),
    inference(superposition,[],[f1369,f83926]) ).

fof(f92785,plain,
    ( ~ spl21_7
    | ~ spl21_8
    | spl21_1376
    | ~ spl21_128
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92053,f83924,f1330,f92783,f377,f372]) ).

fof(f92053,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xp) != sdtpldt0(sK8,xr)
        | sK8 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_128
    | ~ spl21_1366 ),
    inference(superposition,[],[f1331,f83926]) ).

fof(f92778,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1375
    | ~ spl21_127
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92051,f83924,f1326,f92776,f372,f377]) ).

fof(f92051,plain,
    ( ! [X0] :
        ( sdtpldt0(sK8,X0) != sdtpldt0(sK8,xr)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK8) )
    | ~ spl21_127
    | ~ spl21_1366 ),
    inference(superposition,[],[f1327,f83926]) ).

fof(f92773,plain,
    ( ~ spl21_7
    | spl21_30
    | ~ spl21_1373
    | ~ spl21_1374
    | ~ spl21_49
    | ~ spl21_110
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84639,f59771,f5262,f1091,f596,f92770,f92766,f487,f372]) ).

fof(f92766,plain,
    ( spl21_1373
  <=> sz00 = sdtpldt0(xr,sdtpldt0(sK8,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1373])]) ).

fof(f84639,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xm))
    | sz00 != sdtpldt0(xr,sdtpldt0(sK8,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ spl21_49
    | ~ spl21_110
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f84638,f59772]) ).

fof(f84638,plain,
    ( sz00 != sdtpldt0(xr,sdtpldt0(sK8,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_110
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83904,f59772]) ).

fof(f83904,plain,
    ( sz00 != sdtpldt0(xr,sdtpldt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_110
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f1112,f5264]) ).

fof(f1112,plain,
    ( sz00 != sdtpldt0(sdtpldt0(xn,xm),xr)
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_110 ),
    inference(superposition,[],[f1092,f598]) ).

fof(f92764,plain,
    ( ~ spl21_8
    | ~ spl21_7
    | spl21_1195
    | ~ spl21_1372
    | ~ spl21_109
    | ~ spl21_1366 ),
    inference(avatar_split_clause,[],[f92048,f83924,f1087,f92761,f69682,f372,f377]) ).

fof(f92761,plain,
    ( spl21_1372
  <=> sz00 = sdtpldt0(sK8,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1372])]) ).

fof(f1087,plain,
    ( spl21_109
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).

fof(f92048,plain,
    ( sz00 != sdtpldt0(sK8,xr)
    | sz00 = sK8
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK8)
    | ~ spl21_109
    | ~ spl21_1366 ),
    inference(superposition,[],[f1088,f83926]) ).

fof(f1088,plain,
    ( ! [X0,X1] :
        ( sz00 != sdtpldt0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_109 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f92758,plain,
    ( ~ spl21_1371
    | ~ spl21_47
    | spl21_1367 ),
    inference(avatar_split_clause,[],[f92116,f83929,f586,f92755]) ).

fof(f586,plain,
    ( spl21_47
  <=> ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_47])]) ).

fof(f83929,plain,
    ( spl21_1367
  <=> sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(sK8,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1367])]) ).

fof(f92116,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK8,xr))
    | ~ spl21_47
    | spl21_1367 ),
    inference(resolution,[],[f83930,f587]) ).

fof(f587,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_47 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f83930,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(sK8,xr))
    | spl21_1367 ),
    inference(avatar_component_clause,[],[f83929]) ).

fof(f92248,plain,
    ( spl21_1370
    | ~ spl21_49
    | ~ spl21_145
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84656,f59771,f5262,f1679,f596,f92246]) ).

fof(f84656,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(sK8,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_49
    | ~ spl21_145
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83864,f59772]) ).

fof(f83864,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_49
    | ~ spl21_145
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f1682,f5264]) ).

fof(f1682,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xr))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_49
    | ~ spl21_145 ),
    inference(forward_demodulation,[],[f1680,f598]) ).

fof(f92139,plain,
    ( spl21_1369
    | ~ spl21_50
    | ~ spl21_281
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84716,f59771,f5262,f4964,f600,f92136]) ).

fof(f600,plain,
    ( spl21_50
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).

fof(f84716,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(sK8,xm)),sdtpldt0(xp,sdtpldt0(sK8,xm)))
    | ~ spl21_50
    | ~ spl21_281
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f84715,f75342]) ).

fof(f75342,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),xr) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(superposition,[],[f5264,f59772]) ).

fof(f84715,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(sK8,xm),xr),sdtpldt0(xp,sdtpldt0(sK8,xm)))
    | ~ spl21_50
    | ~ spl21_281
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83716,f59772]) ).

fof(f83716,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | ~ spl21_50
    | ~ spl21_281 ),
    inference(forward_demodulation,[],[f601,f4966]) ).

fof(f601,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ spl21_50 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f92134,plain,
    ( spl21_1368
    | ~ spl21_49
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f84634,f59771,f5262,f596,f92131]) ).

fof(f84634,plain,
    ( sdtpldt0(sdtpldt0(sK8,xm),xp) = sdtpldt0(xr,sdtpldt0(sK8,xm))
    | ~ spl21_49
    | ~ spl21_299
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83919,f59772]) ).

fof(f83919,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f598,f5264]) ).

fof(f83932,plain,
    ( spl21_1367
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_380
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f83682,f59771,f50439,f6340,f6331,f4122,f4086,f377,f372,f83929]) ).

fof(f6331,plain,
    ( spl21_380
  <=> sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_380])]) ).

fof(f50439,plain,
    ( spl21_1030
  <=> xn = sdtpldt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1030])]) ).

fof(f83682,plain,
    ( sdtlseqdt0(sdtpldt0(sK8,xr),sdtpldt0(sK8,xr))
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_380
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83681,f4356]) ).

fof(f4356,plain,
    ( sdtpldt0(xr,sK8) = sdtpldt0(sK8,xr)
    | ~ spl21_8
    | ~ spl21_256 ),
    inference(resolution,[],[f4123,f379]) ).

fof(f83681,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(sK8,xr))
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_380
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83680,f83470]) ).

fof(f83470,plain,
    ( sdtpldt0(sK8,xp) = sdtpldt0(sK8,xr)
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83469,f4356]) ).

fof(f83469,plain,
    ( sdtpldt0(sK8,xp) = sdtpldt0(xr,sK8)
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83468,f59772]) ).

fof(f83468,plain,
    ( sdtpldt0(xn,xp) = sdtpldt0(xr,xn)
    | ~ spl21_381
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f6342,f50441]) ).

fof(f50441,plain,
    ( xn = sdtpldt0(xn,xm)
    | ~ spl21_1030 ),
    inference(avatar_component_clause,[],[f50439]) ).

fof(f83680,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(sK8,xp))
    | ~ spl21_7
    | ~ spl21_252
    | ~ spl21_380
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f83679,f59772]) ).

fof(f83679,plain,
    ( sdtlseqdt0(sdtpldt0(xr,xn),sdtpldt0(xn,xp))
    | ~ spl21_7
    | ~ spl21_252
    | ~ spl21_380
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f83678,f4232]) ).

fof(f4232,plain,
    ( sdtpldt0(xn,xp) = sdtpldt0(xp,xn)
    | ~ spl21_7
    | ~ spl21_252 ),
    inference(resolution,[],[f4087,f374]) ).

fof(f374,plain,
    ( aNaturalNumber0(xp)
    | ~ spl21_7 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f83678,plain,
    ( sdtlseqdt0(sdtpldt0(xr,xn),sdtpldt0(xp,xn))
    | ~ spl21_380
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f6333,f50441]) ).

fof(f6333,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | ~ spl21_380 ),
    inference(avatar_component_clause,[],[f6331]) ).

fof(f83927,plain,
    ( spl21_1366
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_381
    | ~ spl21_1030
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f83470,f59771,f50439,f6340,f4122,f377,f83924]) ).

fof(f82582,plain,
    ( spl21_153
    | ~ spl21_2
    | ~ spl21_277
    | ~ spl21_335 ),
    inference(avatar_split_clause,[],[f5830,f5827,f4213,f347,f1756]) ).

fof(f5827,plain,
    ( spl21_335
  <=> ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,xk) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_335])]) ).

fof(f5830,plain,
    ( ~ aNaturalNumber0(xr)
    | sdtlseqdt0(xr,xp)
    | ~ spl21_277
    | ~ spl21_335 ),
    inference(resolution,[],[f5828,f4215]) ).

fof(f4215,plain,
    ( sdtlseqdt0(xr,xk)
    | ~ spl21_277 ),
    inference(avatar_component_clause,[],[f4213]) ).

fof(f5828,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xk)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xp) )
    | ~ spl21_335 ),
    inference(avatar_component_clause,[],[f5827]) ).

fof(f82581,plain,
    ( spl21_1365
    | ~ spl21_3
    | ~ spl21_36
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f4740,f4175,f530,f352,f82578]) ).

fof(f82578,plain,
    ( spl21_1365
  <=> xk = sdtasdt0(sK6,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1365])]) ).

fof(f352,plain,
    ( spl21_3
  <=> aNaturalNumber0(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).

fof(f530,plain,
    ( spl21_36
  <=> xk = sdtasdt0(xr,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).

fof(f4740,plain,
    ( xk = sdtasdt0(sK6,xr)
    | ~ spl21_3
    | ~ spl21_36
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f4723,f532]) ).

fof(f532,plain,
    ( xk = sdtasdt0(xr,sK6)
    | ~ spl21_36 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f4723,plain,
    ( sdtasdt0(xr,sK6) = sdtasdt0(sK6,xr)
    | ~ spl21_3
    | ~ spl21_269 ),
    inference(resolution,[],[f4176,f354]) ).

fof(f354,plain,
    ( aNaturalNumber0(sK6)
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f82576,plain,
    ( spl21_1364
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_256 ),
    inference(avatar_split_clause,[],[f4370,f4122,f556,f402,f82573]) ).

fof(f82573,plain,
    ( spl21_1364
  <=> xk = sdtpldt0(sK12,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1364])]) ).

fof(f4370,plain,
    ( xk = sdtpldt0(sK12,xr)
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_256 ),
    inference(forward_demodulation,[],[f4360,f558]) ).

fof(f4360,plain,
    ( sdtpldt0(xr,sK12) = sdtpldt0(sK12,xr)
    | ~ spl21_13
    | ~ spl21_256 ),
    inference(resolution,[],[f4123,f404]) ).

fof(f82571,plain,
    ( ~ spl21_1363
    | spl21_1046
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f82264,f59771,f59427,f82568]) ).

fof(f82568,plain,
    ( spl21_1363
  <=> sK8 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1363])]) ).

fof(f59427,plain,
    ( spl21_1046
  <=> xn = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1046])]) ).

fof(f82264,plain,
    ( sK8 != sK11
    | spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f59429,f59772]) ).

fof(f59429,plain,
    ( xn != sK11
    | spl21_1046 ),
    inference(avatar_component_clause,[],[f59427]) ).

fof(f82566,plain,
    ( spl21_1362
    | ~ spl21_10
    | ~ spl21_39
    | ~ spl21_255 ),
    inference(avatar_split_clause,[],[f4340,f4118,f545,f387,f82563]) ).

fof(f82563,plain,
    ( spl21_1362
  <=> xp = sdtpldt0(sK9,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1362])]) ).

fof(f4340,plain,
    ( xp = sdtpldt0(sK9,xk)
    | ~ spl21_10
    | ~ spl21_39
    | ~ spl21_255 ),
    inference(forward_demodulation,[],[f4327,f547]) ).

fof(f4327,plain,
    ( sdtpldt0(xk,sK9) = sdtpldt0(sK9,xk)
    | ~ spl21_10
    | ~ spl21_255 ),
    inference(resolution,[],[f4119,f389]) ).

fof(f82561,plain,
    ( spl21_1361
    | ~ spl21_9
    | ~ spl21_38
    | ~ spl21_253 ),
    inference(avatar_split_clause,[],[f4281,f4110,f540,f382,f82558]) ).

fof(f82558,plain,
    ( spl21_1361
  <=> xp = sdtpldt0(sK7,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1361])]) ).

fof(f4281,plain,
    ( xp = sdtpldt0(sK7,xm)
    | ~ spl21_9
    | ~ spl21_38
    | ~ spl21_253 ),
    inference(forward_demodulation,[],[f4266,f542]) ).

fof(f4266,plain,
    ( sdtpldt0(xm,sK7) = sdtpldt0(sK7,xm)
    | ~ spl21_9
    | ~ spl21_253 ),
    inference(resolution,[],[f4111,f384]) ).

fof(f82555,plain,
    ( spl21_1360
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_252 ),
    inference(avatar_split_clause,[],[f4251,f4086,f535,f377,f82552]) ).

fof(f82552,plain,
    ( spl21_1360
  <=> xp = sdtpldt0(sK8,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1360])]) ).

fof(f4251,plain,
    ( xp = sdtpldt0(sK8,xn)
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_252 ),
    inference(forward_demodulation,[],[f4237,f537]) ).

fof(f4237,plain,
    ( sdtpldt0(xn,sK8) = sdtpldt0(sK8,xn)
    | ~ spl21_8
    | ~ spl21_252 ),
    inference(resolution,[],[f4087,f379]) ).

fof(f82550,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_1359
    | ~ spl21_579
    | ~ spl21_38
    | ~ spl21_719 ),
    inference(avatar_split_clause,[],[f18479,f18435,f540,f12369,f82548,f382,f367]) ).

fof(f82548,plain,
    ( spl21_1359
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK7)
        | xn = X0
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1359])]) ).

fof(f12369,plain,
    ( spl21_579
  <=> sP4(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_579])]) ).

fof(f18435,plain,
    ( spl21_719
  <=> ! [X2,X0,X1] :
        ( xn = X0
        | ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = X0
        | ~ sP4(sdtpldt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_719])]) ).

fof(f18479,plain,
    ( ! [X0] :
        ( ~ sP4(xp)
        | ~ doDivides0(X0,sK7)
        | ~ doDivides0(X0,xm)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | xn = X0 )
    | ~ spl21_38
    | ~ spl21_719 ),
    inference(superposition,[],[f18436,f542]) ).

fof(f18436,plain,
    ( ! [X2,X0,X1] :
        ( ~ sP4(sdtpldt0(X2,X1))
        | ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = X0
        | xn = X0 )
    | ~ spl21_719 ),
    inference(avatar_component_clause,[],[f18435]) ).

fof(f82543,plain,
    ( spl21_1353
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(avatar_split_clause,[],[f80387,f80373,f59771,f80382]) ).

fof(f80382,plain,
    ( spl21_1353
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | sK8 = X0
        | xp = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1353])]) ).

fof(f80373,plain,
    ( spl21_1352
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xn = X0
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1352])]) ).

fof(f80387,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | sK8 = X0
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(duplicate_literal_removal,[],[f80386]) ).

fof(f80386,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | sK8 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80385,f59772]) ).

fof(f80385,plain,
    ( ! [X0] :
        ( sK8 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn) )
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80374,f59772]) ).

fof(f80374,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xn = X0
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn) )
    | ~ spl21_1352 ),
    inference(avatar_component_clause,[],[f80373]) ).

fof(f82501,plain,
    ( ~ spl21_1358
    | ~ spl21_1058
    | spl21_1311 ),
    inference(avatar_split_clause,[],[f81016,f78106,f59771,f82498]) ).

fof(f82498,plain,
    ( spl21_1358
  <=> iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1358])]) ).

fof(f78106,plain,
    ( spl21_1311
  <=> iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1311])]) ).

fof(f81016,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(sK8,xp))
    | ~ spl21_1058
    | spl21_1311 ),
    inference(forward_demodulation,[],[f78108,f59772]) ).

fof(f78108,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(xn,xp))
    | spl21_1311 ),
    inference(avatar_component_clause,[],[f78106]) ).

fof(f82496,plain,
    ( ~ spl21_1357
    | spl21_922
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f80678,f59771,f35152,f82493]) ).

fof(f82493,plain,
    ( spl21_1357
  <=> doDivides0(sK8,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1357])]) ).

fof(f35152,plain,
    ( spl21_922
  <=> doDivides0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_922])]) ).

fof(f80678,plain,
    ( ~ doDivides0(sK8,sK8)
    | spl21_922
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f35153,f59772]) ).

fof(f35153,plain,
    ( ~ doDivides0(xn,xn)
    | spl21_922 ),
    inference(avatar_component_clause,[],[f35152]) ).

fof(f82491,plain,
    ( ~ spl21_1356
    | ~ spl21_1058
    | spl21_1330 ),
    inference(avatar_split_clause,[],[f80393,f80251,f59771,f82488]) ).

fof(f82488,plain,
    ( spl21_1356
  <=> iLess0(sdtpldt0(sdtpldt0(sK11,xr),sK8),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1356])]) ).

fof(f80251,plain,
    ( spl21_1330
  <=> iLess0(sdtpldt0(sdtpldt0(sK11,xr),xn),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1330])]) ).

fof(f80393,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),sK8),sdtpldt0(sK8,xp))
    | ~ spl21_1058
    | spl21_1330 ),
    inference(forward_demodulation,[],[f80253,f59772]) ).

fof(f80253,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xn),sdtpldt0(xn,xp))
    | spl21_1330 ),
    inference(avatar_component_clause,[],[f80251]) ).

fof(f82274,plain,
    ( ~ spl21_1355
    | spl21_621
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f81493,f59771,f14253,f82271]) ).

fof(f82271,plain,
    ( spl21_1355
  <=> xr = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1355])]) ).

fof(f14253,plain,
    ( spl21_621
  <=> xn = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_621])]) ).

fof(f81493,plain,
    ( xr != sK8
    | spl21_621
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f14255,f59772]) ).

fof(f14255,plain,
    ( xn != xr
    | spl21_621 ),
    inference(avatar_component_clause,[],[f14253]) ).

fof(f82269,plain,
    ( ~ spl21_1354
    | ~ spl21_1058
    | spl21_1331 ),
    inference(avatar_split_clause,[],[f80394,f80255,f59771,f82266]) ).

fof(f82266,plain,
    ( spl21_1354
  <=> sP2(sK11,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1354])]) ).

fof(f80255,plain,
    ( spl21_1331
  <=> sP2(sK11,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1331])]) ).

fof(f80394,plain,
    ( ~ sP2(sK11,sK8)
    | ~ spl21_1058
    | spl21_1331 ),
    inference(forward_demodulation,[],[f80256,f59772]) ).

fof(f80256,plain,
    ( ~ sP2(sK11,xn)
    | spl21_1331 ),
    inference(avatar_component_clause,[],[f80255]) ).

fof(f80384,plain,
    ( spl21_1353
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(avatar_split_clause,[],[f80380,f80373,f59771,f59427,f80382]) ).

fof(f80380,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | sK8 = X0
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(duplicate_literal_removal,[],[f80379]) ).

fof(f80379,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | sK8 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80378,f75310]) ).

fof(f75310,plain,
    ( sK8 = sK11
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(superposition,[],[f59772,f59428]) ).

fof(f59428,plain,
    ( xn = sK11
    | ~ spl21_1046 ),
    inference(avatar_component_clause,[],[f59427]) ).

fof(f80378,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK11)
        | sK8 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80377,f59428]) ).

fof(f80377,plain,
    ( ! [X0] :
        ( sK8 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80376,f75310]) ).

fof(f80376,plain,
    ( ! [X0] :
        ( sK11 = X0
        | ~ doDivides0(X0,sK8)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn) )
    | ~ spl21_1046
    | ~ spl21_1352 ),
    inference(forward_demodulation,[],[f80374,f59428]) ).

fof(f80375,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_1352
    | ~ spl21_579
    | ~ spl21_37
    | ~ spl21_719 ),
    inference(avatar_split_clause,[],[f18475,f18435,f535,f12369,f80373,f377,f362]) ).

fof(f18475,plain,
    ( ! [X0] :
        ( ~ sP4(xp)
        | ~ doDivides0(X0,sK8)
        | ~ doDivides0(X0,xn)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | xn = X0 )
    | ~ spl21_37
    | ~ spl21_719 ),
    inference(superposition,[],[f18436,f537]) ).

fof(f80371,plain,
    ( ~ spl21_2
    | ~ spl21_4
    | ~ spl21_15
    | spl21_1350
    | spl21_1299
    | ~ spl21_1351
    | ~ spl21_210
    | ~ spl21_708
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f76755,f59771,f59427,f17975,f2059,f80368,f78040,f80364,f412,f357,f347]) ).

fof(f357,plain,
    ( spl21_4
  <=> isPrime0(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).

fof(f80364,plain,
    ( spl21_1350
  <=> sP3(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1350])]) ).

fof(f78040,plain,
    ( spl21_1299
  <=> sP2(xr,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1299])]) ).

fof(f80368,plain,
    ( spl21_1351
  <=> iLess0(sdtpldt0(xr,xr),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1351])]) ).

fof(f2059,plain,
    ( spl21_210
  <=> xr = sdtpldt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_210])]) ).

fof(f17975,plain,
    ( spl21_708
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_708])]) ).

fof(f76755,plain,
    ( ~ iLess0(sdtpldt0(xr,xr),sdtpldt0(sK8,xp))
    | sP2(xr,xr)
    | sP3(sz00,xr)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_210
    | ~ spl21_708
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f71727,f75310]) ).

fof(f71727,plain,
    ( ~ iLess0(sdtpldt0(xr,xr),sdtpldt0(sK11,xp))
    | sP2(xr,xr)
    | sP3(sz00,xr)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_210
    | ~ spl21_708
    | ~ spl21_1046 ),
    inference(forward_demodulation,[],[f18021,f59428]) ).

fof(f18021,plain,
    ( ~ iLess0(sdtpldt0(xr,xr),sdtpldt0(xn,xp))
    | sP2(xr,xr)
    | sP3(sz00,xr)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_210
    | ~ spl21_708 ),
    inference(superposition,[],[f17976,f2061]) ).

fof(f2061,plain,
    ( xr = sdtpldt0(xr,sz00)
    | ~ spl21_210 ),
    inference(avatar_component_clause,[],[f2059]) ).

fof(f17976,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_708 ),
    inference(avatar_component_clause,[],[f17975]) ).

fof(f80362,plain,
    ( ~ spl21_1349
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1348 ),
    inference(avatar_split_clause,[],[f80357,f80353,f59771,f59427,f80359]) ).

fof(f80359,plain,
    ( spl21_1349
  <=> iLess0(sdtpldt0(xk,xr),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1349])]) ).

fof(f80353,plain,
    ( spl21_1348
  <=> iLess0(sdtpldt0(xk,xr),sdtpldt0(sK11,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1348])]) ).

fof(f80357,plain,
    ( ~ iLess0(sdtpldt0(xk,xr),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1348 ),
    inference(forward_demodulation,[],[f80355,f75310]) ).

fof(f80355,plain,
    ( ~ iLess0(sdtpldt0(xk,xr),sdtpldt0(sK11,xp))
    | spl21_1348 ),
    inference(avatar_component_clause,[],[f80353]) ).

fof(f80356,plain,
    ( ~ spl21_2
    | ~ spl21_4
    | ~ spl21_13
    | spl21_1347
    | spl21_1299
    | ~ spl21_1348
    | ~ spl21_41
    | ~ spl21_708
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f71734,f59427,f17975,f556,f80353,f78040,f80349,f402,f357,f347]) ).

fof(f80349,plain,
    ( spl21_1347
  <=> sP3(sK12,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1347])]) ).

fof(f71734,plain,
    ( ~ iLess0(sdtpldt0(xk,xr),sdtpldt0(sK11,xp))
    | sP2(xr,xr)
    | sP3(sK12,xr)
    | ~ aNaturalNumber0(sK12)
    | ~ isPrime0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_41
    | ~ spl21_708
    | ~ spl21_1046 ),
    inference(forward_demodulation,[],[f18020,f59428]) ).

fof(f18020,plain,
    ( ~ iLess0(sdtpldt0(xk,xr),sdtpldt0(xn,xp))
    | sP2(xr,xr)
    | sP3(sK12,xr)
    | ~ aNaturalNumber0(sK12)
    | ~ isPrime0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_41
    | ~ spl21_708 ),
    inference(superposition,[],[f17976,f558]) ).

fof(f80347,plain,
    ( ~ spl21_1346
    | ~ spl21_1046
    | spl21_1068 ),
    inference(avatar_split_clause,[],[f72854,f60594,f59427,f80344]) ).

fof(f80344,plain,
    ( spl21_1346
  <=> sK7 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1346])]) ).

fof(f60594,plain,
    ( spl21_1068
  <=> xn = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1068])]) ).

fof(f72854,plain,
    ( sK7 != sK11
    | ~ spl21_1046
    | spl21_1068 ),
    inference(superposition,[],[f60596,f59428]) ).

fof(f60596,plain,
    ( xn != sK7
    | spl21_1068 ),
    inference(avatar_component_clause,[],[f60594]) ).

fof(f80342,plain,
    ( ~ spl21_1345
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1343 ),
    inference(avatar_split_clause,[],[f80330,f80325,f59771,f59427,f80339]) ).

fof(f80339,plain,
    ( spl21_1345
  <=> iLess0(sdtpldt0(sdtpldt0(sK10,xp),sK8),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1345])]) ).

fof(f80325,plain,
    ( spl21_1343
  <=> iLess0(sdtpldt0(sdtpldt0(sK10,xp),xn),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1343])]) ).

fof(f80330,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),sK8),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1343 ),
    inference(forward_demodulation,[],[f80329,f75310]) ).

fof(f80329,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),sK11),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1343 ),
    inference(forward_demodulation,[],[f80327,f59428]) ).

fof(f80327,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xn),sdtpldt0(xn,xp))
    | spl21_1343 ),
    inference(avatar_component_clause,[],[f80325]) ).

fof(f80337,plain,
    ( ~ spl21_1344
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1342 ),
    inference(avatar_split_clause,[],[f80332,f80321,f59771,f59427,f80334]) ).

fof(f80334,plain,
    ( spl21_1344
  <=> sP3(sK10,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1344])]) ).

fof(f80321,plain,
    ( spl21_1342
  <=> sP3(sK10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1342])]) ).

fof(f80332,plain,
    ( ~ sP3(sK10,sK8)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1342 ),
    inference(forward_demodulation,[],[f80331,f75310]) ).

fof(f80331,plain,
    ( ~ sP3(sK10,sK11)
    | ~ spl21_1046
    | spl21_1342 ),
    inference(forward_demodulation,[],[f80322,f59428]) ).

fof(f80322,plain,
    ( ~ sP3(sK10,xn)
    | spl21_1342 ),
    inference(avatar_component_clause,[],[f80321]) ).

fof(f80328,plain,
    ( spl21_1336
    | spl21_1342
    | ~ spl21_12
    | ~ spl21_7
    | ~ spl21_1343
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(avatar_split_clause,[],[f60975,f60720,f4175,f4114,f698,f407,f397,f80325,f372,f397,f80321,f80287]) ).

fof(f80287,plain,
    ( spl21_1336
  <=> sP2(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1336])]) ).

fof(f397,plain,
    ( spl21_12
  <=> aNaturalNumber0(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).

fof(f698,plain,
    ( spl21_71
  <=> sdtasdt0(xp,sK10) = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_71])]) ).

fof(f60720,plain,
    ( spl21_1070
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1070])]) ).

fof(f60975,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xn),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xn)
    | sP2(xp,xn)
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(forward_demodulation,[],[f60974,f4299]) ).

fof(f4299,plain,
    ( sdtpldt0(xp,sK10) = sdtpldt0(sK10,xp)
    | ~ spl21_12
    | ~ spl21_254 ),
    inference(resolution,[],[f4115,f399]) ).

fof(f399,plain,
    ( aNaturalNumber0(sK10)
    | ~ spl21_12 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f60974,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xn),sdtpldt0(xn,xp))
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(trivial_inequality_removal,[],[f60973]) ).

fof(f60973,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xn),sdtpldt0(xn,xp))
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(forward_demodulation,[],[f60802,f4728]) ).

fof(f60802,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xn),sdtpldt0(xn,xp))
    | ~ spl21_71
    | ~ spl21_1070 ),
    inference(superposition,[],[f60721,f700]) ).

fof(f700,plain,
    ( sdtasdt0(xp,sK10) = sdtasdt0(xr,sK11)
    | ~ spl21_71 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f60721,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xn,xp)) )
    | ~ spl21_1070 ),
    inference(avatar_component_clause,[],[f60720]) ).

fof(f80319,plain,
    ( ~ spl21_1341
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1338 ),
    inference(avatar_split_clause,[],[f80300,f80295,f59771,f59427,f80316]) ).

fof(f80316,plain,
    ( spl21_1341
  <=> iLess0(sdtpldt0(sdtpldt0(xk,xp),sK8),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1341])]) ).

fof(f80295,plain,
    ( spl21_1338
  <=> iLess0(sdtpldt0(sdtpldt0(xk,xp),xn),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1338])]) ).

fof(f80300,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),sK8),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1338 ),
    inference(forward_demodulation,[],[f80299,f75310]) ).

fof(f80299,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),sK11),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1338 ),
    inference(forward_demodulation,[],[f80297,f59428]) ).

fof(f80297,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xn),sdtpldt0(xn,xp))
    | spl21_1338 ),
    inference(avatar_component_clause,[],[f80295]) ).

fof(f80314,plain,
    ( ~ spl21_1340
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1336 ),
    inference(avatar_split_clause,[],[f80304,f80287,f59771,f59427,f80311]) ).

fof(f80311,plain,
    ( spl21_1340
  <=> sP2(xp,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1340])]) ).

fof(f80304,plain,
    ( ~ sP2(xp,sK8)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1336 ),
    inference(forward_demodulation,[],[f80303,f75310]) ).

fof(f80303,plain,
    ( ~ sP2(xp,sK11)
    | ~ spl21_1046
    | spl21_1336 ),
    inference(forward_demodulation,[],[f80288,f59428]) ).

fof(f80288,plain,
    ( ~ sP2(xp,xn)
    | spl21_1336 ),
    inference(avatar_component_clause,[],[f80287]) ).

fof(f80309,plain,
    ( ~ spl21_1339
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1337 ),
    inference(avatar_split_clause,[],[f80302,f80291,f59771,f59427,f80306]) ).

fof(f80306,plain,
    ( spl21_1339
  <=> sP3(xk,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1339])]) ).

fof(f80291,plain,
    ( spl21_1337
  <=> sP3(xk,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1337])]) ).

fof(f80302,plain,
    ( ~ sP3(xk,sK8)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1337 ),
    inference(forward_demodulation,[],[f80301,f75310]) ).

fof(f80301,plain,
    ( ~ sP3(xk,sK11)
    | ~ spl21_1046
    | spl21_1337 ),
    inference(forward_demodulation,[],[f80292,f59428]) ).

fof(f80292,plain,
    ( ~ sP3(xk,xn)
    | spl21_1337 ),
    inference(avatar_component_clause,[],[f80291]) ).

fof(f80298,plain,
    ( spl21_1336
    | spl21_1337
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_1338
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(avatar_split_clause,[],[f60972,f60720,f4175,f4114,f683,f407,f342,f80295,f372,f342,f80291,f80287]) ).

fof(f683,plain,
    ( spl21_68
  <=> sdtasdt0(xp,xk) = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_68])]) ).

fof(f60972,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xn),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xn)
    | sP2(xp,xn)
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(forward_demodulation,[],[f60971,f4293]) ).

fof(f4293,plain,
    ( sdtpldt0(xp,xk) = sdtpldt0(xk,xp)
    | ~ spl21_1
    | ~ spl21_254 ),
    inference(resolution,[],[f4115,f344]) ).

fof(f344,plain,
    ( aNaturalNumber0(xk)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f60971,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xn),sdtpldt0(xn,xp))
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(trivial_inequality_removal,[],[f60970]) ).

fof(f60970,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xn),sdtpldt0(xn,xp))
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_1070 ),
    inference(forward_demodulation,[],[f60801,f4728]) ).

fof(f60801,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xn)
    | sP2(xp,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xn),sdtpldt0(xn,xp))
    | ~ spl21_68
    | ~ spl21_1070 ),
    inference(superposition,[],[f60721,f685]) ).

fof(f685,plain,
    ( sdtasdt0(xp,xk) = sdtasdt0(xr,sK11)
    | ~ spl21_68 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f80284,plain,
    ( ~ spl21_1335
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_989
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1330 ),
    inference(avatar_split_clause,[],[f80269,f80251,f59771,f59427,f39429,f4122,f377,f80281]) ).

fof(f80281,plain,
    ( spl21_1335
  <=> iLess0(sdtpldt0(sK8,sdtpldt0(sK8,xr)),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1335])]) ).

fof(f39429,plain,
    ( spl21_989
  <=> sdtpldt0(sdtpldt0(xr,xn),xn) = sdtpldt0(xn,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_989])]) ).

fof(f80269,plain,
    ( ~ iLess0(sdtpldt0(sK8,sdtpldt0(sK8,xr)),sdtpldt0(sK8,xp))
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_989
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1330 ),
    inference(forward_demodulation,[],[f80268,f75546]) ).

fof(f75546,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,xr))
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_989
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f75454,f4356]) ).

fof(f75454,plain,
    ( sdtpldt0(sdtpldt0(xr,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xr,sK8))
    | ~ spl21_989
    | ~ spl21_1058 ),
    inference(superposition,[],[f39431,f59772]) ).

fof(f39431,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xn) = sdtpldt0(xn,sdtpldt0(xr,xn))
    | ~ spl21_989 ),
    inference(avatar_component_clause,[],[f39429]) ).

fof(f80268,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK8,xr),sK8),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1330 ),
    inference(forward_demodulation,[],[f80267,f75310]) ).

fof(f80267,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),sK11),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1330 ),
    inference(forward_demodulation,[],[f80253,f59428]) ).

fof(f80279,plain,
    ( ~ spl21_1334
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1331 ),
    inference(avatar_split_clause,[],[f80266,f80255,f59771,f59427,f80276]) ).

fof(f80276,plain,
    ( spl21_1334
  <=> sP2(sK8,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1334])]) ).

fof(f80266,plain,
    ( ~ sP2(sK8,sK8)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1331 ),
    inference(forward_demodulation,[],[f80265,f75310]) ).

fof(f80265,plain,
    ( ~ sP2(sK11,sK11)
    | ~ spl21_1046
    | spl21_1331 ),
    inference(forward_demodulation,[],[f80256,f59428]) ).

fof(f80274,plain,
    ( ~ spl21_1333
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1332 ),
    inference(avatar_split_clause,[],[f80264,f80259,f59771,f59427,f80271]) ).

fof(f80271,plain,
    ( spl21_1333
  <=> sP3(xr,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1333])]) ).

fof(f80259,plain,
    ( spl21_1332
  <=> sP3(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1332])]) ).

fof(f80264,plain,
    ( ~ sP3(xr,sK8)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1332 ),
    inference(forward_demodulation,[],[f80263,f75310]) ).

fof(f80263,plain,
    ( ~ sP3(xr,sK11)
    | ~ spl21_1046
    | spl21_1332 ),
    inference(forward_demodulation,[],[f80260,f59428]) ).

fof(f80260,plain,
    ( ~ sP3(xr,xn)
    | spl21_1332 ),
    inference(avatar_component_clause,[],[f80259]) ).

fof(f80262,plain,
    ( ~ spl21_1330
    | spl21_1331
    | spl21_1332
    | ~ spl21_2
    | ~ spl21_14
    | ~ spl21_1070 ),
    inference(avatar_split_clause,[],[f60825,f60720,f407,f347,f80259,f80255,f80251]) ).

fof(f60825,plain,
    ( ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(xr)
    | sP3(xr,xn)
    | sP2(sK11,xn)
    | ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xn),sdtpldt0(xn,xp))
    | ~ spl21_1070 ),
    inference(equality_resolution,[],[f60721]) ).

fof(f80242,plain,
    ( spl21_1329
    | ~ spl21_1046
    | ~ spl21_1060 ),
    inference(avatar_split_clause,[],[f72846,f60310,f59427,f80239]) ).

fof(f80239,plain,
    ( spl21_1329
  <=> sdtlseqdt0(sK11,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1329])]) ).

fof(f60310,plain,
    ( spl21_1060
  <=> sdtlseqdt0(xn,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1060])]) ).

fof(f72846,plain,
    ( sdtlseqdt0(sK11,sK10)
    | ~ spl21_1046
    | ~ spl21_1060 ),
    inference(superposition,[],[f60312,f59428]) ).

fof(f60312,plain,
    ( sdtlseqdt0(xn,sK10)
    | ~ spl21_1060 ),
    inference(avatar_component_clause,[],[f60310]) ).

fof(f80237,plain,
    ( ~ spl21_2
    | spl21_1325
    | ~ spl21_1327
    | ~ spl21_1328
    | ~ spl21_115
    | ~ spl21_474
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f80022,f59771,f59427,f8610,f1130,f80234,f80230,f80218,f347]) ).

fof(f80218,plain,
    ( spl21_1325
  <=> xr = sdtasdt0(sK8,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1325])]) ).

fof(f80230,plain,
    ( spl21_1327
  <=> sdtlseqdt0(sdtasdt0(sK8,xr),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1327])]) ).

fof(f1130,plain,
    ( spl21_115
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ sdtlseqdt0(X1,X0)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_115])]) ).

fof(f8610,plain,
    ( spl21_474
  <=> sdtlseqdt0(xr,sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_474])]) ).

fof(f80022,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sK8,xr))
    | ~ sdtlseqdt0(sdtasdt0(sK8,xr),xr)
    | xr = sdtasdt0(sK8,xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_115
    | ~ spl21_474
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f80021,f75310]) ).

fof(f80021,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sK8,xr),xr)
    | xr = sdtasdt0(sK8,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtasdt0(sK11,xr))
    | ~ spl21_115
    | ~ spl21_474
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f80020,f75310]) ).

fof(f80020,plain,
    ( xr = sdtasdt0(sK8,xr)
    | ~ sdtlseqdt0(sdtasdt0(sK11,xr),xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtasdt0(sK11,xr))
    | ~ spl21_115
    | ~ spl21_474
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f8615,f75310]) ).

fof(f8615,plain,
    ( xr = sdtasdt0(sK11,xr)
    | ~ sdtlseqdt0(sdtasdt0(sK11,xr),xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtasdt0(sK11,xr))
    | ~ spl21_115
    | ~ spl21_474 ),
    inference(resolution,[],[f8612,f1131]) ).

fof(f1131,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X1,X0)
        | X0 = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_115 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f8612,plain,
    ( sdtlseqdt0(xr,sdtasdt0(sK11,xr))
    | ~ spl21_474 ),
    inference(avatar_component_clause,[],[f8610]) ).

fof(f80226,plain,
    ( spl21_1326
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(avatar_split_clause,[],[f78840,f78821,f59771,f59427,f50439,f4122,f407,f80223]) ).

fof(f80223,plain,
    ( spl21_1326
  <=> sdtasdt0(xk,sdtpldt0(sK8,xr)) = sdtsldt0(sdtasdt0(sdtpldt0(sK8,xr),sdtasdt0(sK8,xr)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1326])]) ).

fof(f78821,plain,
    ( spl21_1323
  <=> sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtasdt0(sK11,xr)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1323])]) ).

fof(f78840,plain,
    ( sdtasdt0(xk,sdtpldt0(sK8,xr)) = sdtsldt0(sdtasdt0(sdtpldt0(sK8,xr),sdtasdt0(sK8,xr)),xp)
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78839,f75310]) ).

fof(f78839,plain,
    ( sdtasdt0(xk,sdtpldt0(sK11,xr)) = sdtsldt0(sdtasdt0(sdtpldt0(sK11,xr),sdtasdt0(sK8,xr)),xp)
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78838,f4359]) ).

fof(f4359,plain,
    ( sdtpldt0(xr,sK11) = sdtpldt0(sK11,xr)
    | ~ spl21_14
    | ~ spl21_256 ),
    inference(resolution,[],[f4123,f409]) ).

fof(f78838,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sK11)) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sK11),sdtasdt0(sK8,xr)),xp)
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78837,f59428]) ).

fof(f78837,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,xn)) = sdtsldt0(sdtasdt0(sdtpldt0(xr,xn),sdtasdt0(sK8,xr)),xp)
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78836,f50441]) ).

fof(f78836,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtasdt0(sK8,xr)),xp)
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78823,f75310]) ).

fof(f78823,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1323 ),
    inference(avatar_component_clause,[],[f78821]) ).

fof(f80221,plain,
    ( ~ spl21_1325
    | spl21_783
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f80216,f59771,f59427,f20362,f80218]) ).

fof(f20362,plain,
    ( spl21_783
  <=> xr = sdtasdt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_783])]) ).

fof(f80216,plain,
    ( xr != sdtasdt0(sK8,xr)
    | spl21_783
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f80215,f75310]) ).

fof(f80215,plain,
    ( xr != sdtasdt0(sK11,xr)
    | spl21_783
    | ~ spl21_1046 ),
    inference(forward_demodulation,[],[f20363,f59428]) ).

fof(f20363,plain,
    ( xr != sdtasdt0(xn,xr)
    | spl21_783 ),
    inference(avatar_component_clause,[],[f20362]) ).

fof(f78835,plain,
    ( spl21_1324
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1093
    | ~ spl21_1323 ),
    inference(avatar_split_clause,[],[f78830,f78821,f63280,f59771,f59427,f50439,f20362,f4122,f407,f78832]) ).

fof(f78832,plain,
    ( spl21_1324
  <=> sdtasdt0(xk,sdtpldt0(sK8,xr)) = sdtsldt0(sdtasdt0(xr,sdtpldt0(sK8,xr)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1324])]) ).

fof(f63280,plain,
    ( spl21_1093
  <=> sdtasdt0(sdtpldt0(xr,xn),xr) = sdtasdt0(xr,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1093])]) ).

fof(f78830,plain,
    ( sdtasdt0(xk,sdtpldt0(sK8,xr)) = sdtsldt0(sdtasdt0(xr,sdtpldt0(sK8,xr)),xp)
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1093
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78829,f75310]) ).

fof(f78829,plain,
    ( sdtasdt0(xk,sdtpldt0(sK11,xr)) = sdtsldt0(sdtasdt0(xr,sdtpldt0(sK11,xr)),xp)
    | ~ spl21_14
    | ~ spl21_256
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1093
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78828,f4359]) ).

fof(f78828,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sK11)) = sdtsldt0(sdtasdt0(xr,sdtpldt0(xr,sK11)),xp)
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1093
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78827,f59428]) ).

fof(f78827,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,xn)) = sdtsldt0(sdtasdt0(xr,sdtpldt0(xr,xn)),xp)
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1093
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78826,f63282]) ).

fof(f63282,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),xr) = sdtasdt0(xr,sdtpldt0(xr,xn))
    | ~ spl21_1093 ),
    inference(avatar_component_clause,[],[f63280]) ).

fof(f78826,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,xn)) = sdtsldt0(sdtasdt0(sdtpldt0(xr,xn),xr),xp)
    | ~ spl21_783
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78825,f50441]) ).

fof(f78825,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr),xp)
    | ~ spl21_783
    | ~ spl21_1046
    | ~ spl21_1323 ),
    inference(forward_demodulation,[],[f78823,f72778]) ).

fof(f72778,plain,
    ( xr = sdtasdt0(sK11,xr)
    | ~ spl21_783
    | ~ spl21_1046 ),
    inference(superposition,[],[f20364,f59428]) ).

fof(f20364,plain,
    ( xr = sdtasdt0(xn,xr)
    | ~ spl21_783 ),
    inference(avatar_component_clause,[],[f20362]) ).

fof(f78824,plain,
    ( spl21_1323
    | ~ spl21_268
    | ~ spl21_584
    | ~ spl21_682 ),
    inference(avatar_split_clause,[],[f49093,f16892,f12647,f4171,f78821]) ).

fof(f16892,plain,
    ( spl21_682
  <=> ! [X0] :
        ( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xp)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_682])]) ).

fof(f49093,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_268
    | ~ spl21_584
    | ~ spl21_682 ),
    inference(forward_demodulation,[],[f16899,f12771]) ).

fof(f12771,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk) = sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_268
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4172]) ).

fof(f12649,plain,
    ( aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_584 ),
    inference(avatar_component_clause,[],[f12647]) ).

fof(f16899,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_584
    | ~ spl21_682 ),
    inference(resolution,[],[f16893,f12649]) ).

fof(f16893,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xp) )
    | ~ spl21_682 ),
    inference(avatar_component_clause,[],[f16892]) ).

fof(f78818,plain,
    ( ~ spl21_1322
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1320 ),
    inference(avatar_split_clause,[],[f78807,f78802,f59771,f59427,f78815]) ).

fof(f78815,plain,
    ( spl21_1322
  <=> iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1322])]) ).

fof(f78802,plain,
    ( spl21_1320
  <=> iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1320])]) ).

fof(f78807,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1320 ),
    inference(forward_demodulation,[],[f78806,f75310]) ).

fof(f78806,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1320 ),
    inference(forward_demodulation,[],[f78804,f59428]) ).

fof(f78804,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(xn,xp))
    | spl21_1320 ),
    inference(avatar_component_clause,[],[f78802]) ).

fof(f78812,plain,
    ( ~ spl21_1321
    | spl21_1040
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72843,f59427,f59318,f78809]) ).

fof(f78809,plain,
    ( spl21_1321
  <=> sK11 = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1321])]) ).

fof(f59318,plain,
    ( spl21_1040
  <=> xn = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1040])]) ).

fof(f72843,plain,
    ( sK11 != sK12
    | spl21_1040
    | ~ spl21_1046 ),
    inference(superposition,[],[f59320,f59428]) ).

fof(f59320,plain,
    ( xn != sK12
    | spl21_1040 ),
    inference(avatar_component_clause,[],[f59318]) ).

fof(f78805,plain,
    ( spl21_1289
    | spl21_1319
    | ~ spl21_12
    | ~ spl21_7
    | ~ spl21_1320
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(avatar_split_clause,[],[f23175,f22971,f4175,f4114,f698,f407,f397,f78802,f372,f397,f78798,f77987]) ).

fof(f77987,plain,
    ( spl21_1289
  <=> sP2(xp,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1289])]) ).

fof(f78798,plain,
    ( spl21_1319
  <=> sP3(sK10,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1319])]) ).

fof(f22971,plain,
    ( spl21_828
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_828])]) ).

fof(f23175,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xp)
    | sP2(xp,xp)
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23174,f4299]) ).

fof(f23174,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xp)
    | sP2(xp,xp)
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(trivial_inequality_removal,[],[f23173]) ).

fof(f23173,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xp)
    | sP2(xp,xp)
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23019,f4728]) ).

fof(f23019,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(sK10,xp)
    | sP2(xp,xp)
    | ~ spl21_71
    | ~ spl21_828 ),
    inference(superposition,[],[f22972,f700]) ).

fof(f22972,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_828 ),
    inference(avatar_component_clause,[],[f22971]) ).

fof(f78795,plain,
    ( ~ spl21_1318
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1317 ),
    inference(avatar_split_clause,[],[f78790,f78785,f59771,f59427,f78792]) ).

fof(f78792,plain,
    ( spl21_1318
  <=> iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1318])]) ).

fof(f78785,plain,
    ( spl21_1317
  <=> iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1317])]) ).

fof(f78790,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1317 ),
    inference(forward_demodulation,[],[f78789,f75310]) ).

fof(f78789,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1317 ),
    inference(forward_demodulation,[],[f78787,f59428]) ).

fof(f78787,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(xn,xp))
    | spl21_1317 ),
    inference(avatar_component_clause,[],[f78785]) ).

fof(f78788,plain,
    ( spl21_1289
    | spl21_1316
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_1317
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(avatar_split_clause,[],[f23172,f22971,f4175,f4114,f683,f407,f342,f78785,f372,f342,f78781,f77987]) ).

fof(f78781,plain,
    ( spl21_1316
  <=> sP3(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1316])]) ).

fof(f23172,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xp)
    | sP2(xp,xp)
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23171,f4293]) ).

fof(f23171,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xp)
    | sP2(xp,xp)
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(trivial_inequality_removal,[],[f23170]) ).

fof(f23170,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xp)
    | sP2(xp,xp)
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23018,f4728]) ).

fof(f23018,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xp)
    | sP2(xp,xp)
    | ~ spl21_68
    | ~ spl21_828 ),
    inference(superposition,[],[f22972,f685]) ).

fof(f78775,plain,
    ( spl21_1304
    | spl21_1305
    | ~ spl21_6
    | ~ spl21_5
    | ~ spl21_1315
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_828 ),
    inference(avatar_split_clause,[],[f23155,f22971,f4964,f4175,f670,f407,f78772,f362,f367,f78070,f78066]) ).

fof(f23155,plain,
    ( ~ iLess0(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23154,f4966]) ).

fof(f23154,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(trivial_inequality_removal,[],[f23153]) ).

fof(f23153,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_269
    | ~ spl21_828 ),
    inference(forward_demodulation,[],[f23011,f4728]) ).

fof(f23011,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_65
    | ~ spl21_828 ),
    inference(superposition,[],[f22972,f672]) ).

fof(f78770,plain,
    ( ~ spl21_1314
    | spl21_665
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f78765,f59771,f59427,f16534,f78767]) ).

fof(f78767,plain,
    ( spl21_1314
  <=> sK8 = sdtasdt0(sK8,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1314])]) ).

fof(f16534,plain,
    ( spl21_665
  <=> xn = sdtasdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_665])]) ).

fof(f78765,plain,
    ( sK8 != sdtasdt0(sK8,sK8)
    | spl21_665
    | ~ spl21_1046
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f78764,f75310]) ).

fof(f78764,plain,
    ( sK11 != sdtasdt0(sK11,sK11)
    | spl21_665
    | ~ spl21_1046 ),
    inference(forward_demodulation,[],[f16535,f59428]) ).

fof(f16535,plain,
    ( xn != sdtasdt0(xn,xn)
    | spl21_665 ),
    inference(avatar_component_clause,[],[f16534]) ).

fof(f78123,plain,
    ( spl21_1313
    | ~ spl21_922
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72807,f59427,f35152,f78120]) ).

fof(f78120,plain,
    ( spl21_1313
  <=> doDivides0(sK11,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1313])]) ).

fof(f72807,plain,
    ( doDivides0(sK11,sK11)
    | ~ spl21_922
    | ~ spl21_1046 ),
    inference(superposition,[],[f35154,f59428]) ).

fof(f35154,plain,
    ( doDivides0(xn,xn)
    | ~ spl21_922 ),
    inference(avatar_component_clause,[],[f35152]) ).

fof(f78118,plain,
    ( ~ spl21_1312
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_992
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1311 ),
    inference(avatar_split_clause,[],[f78112,f78106,f59771,f59427,f39499,f4122,f377,f78115]) ).

fof(f78115,plain,
    ( spl21_1312
  <=> iLess0(sdtpldt0(xp,sdtpldt0(sK8,xr)),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1312])]) ).

fof(f39499,plain,
    ( spl21_992
  <=> sdtpldt0(sdtpldt0(xr,xn),xp) = sdtpldt0(xp,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_992])]) ).

fof(f78112,plain,
    ( ~ iLess0(sdtpldt0(xp,sdtpldt0(sK8,xr)),sdtpldt0(sK8,xp))
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_992
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1311 ),
    inference(forward_demodulation,[],[f78111,f75547]) ).

fof(f75547,plain,
    ( sdtpldt0(sdtpldt0(sK8,xr),xp) = sdtpldt0(xp,sdtpldt0(sK8,xr))
    | ~ spl21_8
    | ~ spl21_256
    | ~ spl21_992
    | ~ spl21_1058 ),
    inference(forward_demodulation,[],[f75457,f4356]) ).

fof(f75457,plain,
    ( sdtpldt0(sdtpldt0(xr,sK8),xp) = sdtpldt0(xp,sdtpldt0(xr,sK8))
    | ~ spl21_992
    | ~ spl21_1058 ),
    inference(superposition,[],[f39501,f59772]) ).

fof(f39501,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xp) = sdtpldt0(xp,sdtpldt0(xr,xn))
    | ~ spl21_992 ),
    inference(avatar_component_clause,[],[f39499]) ).

fof(f78111,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK8,xr),xp),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1311 ),
    inference(forward_demodulation,[],[f78110,f75310]) ).

fof(f78110,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1311 ),
    inference(forward_demodulation,[],[f78108,f59428]) ).

fof(f78109,plain,
    ( spl21_1309
    | spl21_1310
    | ~ spl21_2
    | ~ spl21_14
    | ~ spl21_1311
    | ~ spl21_828 ),
    inference(avatar_split_clause,[],[f23034,f22971,f78106,f407,f347,f78102,f78098]) ).

fof(f78098,plain,
    ( spl21_1309
  <=> sP2(sK11,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1309])]) ).

fof(f78102,plain,
    ( spl21_1310
  <=> sP3(xr,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1310])]) ).

fof(f23034,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK11,xr),xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(xr)
    | sP3(xr,xp)
    | sP2(sK11,xp)
    | ~ spl21_828 ),
    inference(equality_resolution,[],[f22972]) ).

fof(f78096,plain,
    ( spl21_1304
    | spl21_1305
    | ~ spl21_12
    | ~ spl21_11
    | ~ spl21_7
    | ~ spl21_1306
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(avatar_split_clause,[],[f22596,f22441,f4175,f698,f407,f78074,f372,f392,f397,f78070,f78066]) ).

fof(f78074,plain,
    ( spl21_1306
  <=> iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1306])]) ).

fof(f22441,plain,
    ( spl21_818
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_818])]) ).

fof(f22596,plain,
    ( ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(trivial_inequality_removal,[],[f22595]) ).

fof(f22595,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(forward_demodulation,[],[f22494,f4728]) ).

fof(f22494,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(sK10)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_71
    | ~ spl21_818 ),
    inference(superposition,[],[f22442,f700]) ).

fof(f22442,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_818 ),
    inference(avatar_component_clause,[],[f22441]) ).

fof(f78091,plain,
    ( ~ spl21_1308
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1306 ),
    inference(avatar_split_clause,[],[f78079,f78074,f59771,f59427,f78088]) ).

fof(f78088,plain,
    ( spl21_1308
  <=> iLess0(sdtpldt0(sK8,xp),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1308])]) ).

fof(f78079,plain,
    ( ~ iLess0(sdtpldt0(sK8,xp),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1306 ),
    inference(forward_demodulation,[],[f78078,f75310]) ).

fof(f78078,plain,
    ( ~ iLess0(sdtpldt0(sK11,xp),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1306 ),
    inference(forward_demodulation,[],[f78076,f59428]) ).

fof(f78076,plain,
    ( ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | spl21_1306 ),
    inference(avatar_component_clause,[],[f78074]) ).

fof(f78086,plain,
    ( ~ spl21_1307
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1304 ),
    inference(avatar_split_clause,[],[f78081,f78066,f59771,f59427,f78083]) ).

fof(f78081,plain,
    ( ~ sP2(sK8,xp)
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1304 ),
    inference(forward_demodulation,[],[f78080,f75310]) ).

fof(f78080,plain,
    ( ~ sP2(sK11,xp)
    | ~ spl21_1046
    | spl21_1304 ),
    inference(forward_demodulation,[],[f78067,f59428]) ).

fof(f78067,plain,
    ( ~ sP2(xn,xp)
    | spl21_1304 ),
    inference(avatar_component_clause,[],[f78066]) ).

fof(f78077,plain,
    ( spl21_1304
    | spl21_1305
    | ~ spl21_1
    | ~ spl21_11
    | ~ spl21_7
    | ~ spl21_1306
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(avatar_split_clause,[],[f22594,f22441,f4175,f683,f407,f78074,f372,f392,f342,f78070,f78066]) ).

fof(f22594,plain,
    ( ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(trivial_inequality_removal,[],[f22593]) ).

fof(f22593,plain,
    ( sdtasdt0(sK11,xr) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_269
    | ~ spl21_818 ),
    inference(forward_demodulation,[],[f22493,f4728]) ).

fof(f22493,plain,
    ( sdtasdt0(xr,sK11) != sdtasdt0(sK11,xr)
    | ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xk)
    | sP3(xm,xp)
    | sP2(xn,xp)
    | ~ spl21_68
    | ~ spl21_818 ),
    inference(superposition,[],[f22442,f685]) ).

fof(f78063,plain,
    ( ~ spl21_1303
    | spl21_629
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72754,f59427,f14393,f78060]) ).

fof(f78060,plain,
    ( spl21_1303
  <=> xk = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1303])]) ).

fof(f14393,plain,
    ( spl21_629
  <=> xn = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_629])]) ).

fof(f72754,plain,
    ( xk != sK11
    | spl21_629
    | ~ spl21_1046 ),
    inference(superposition,[],[f14395,f59428]) ).

fof(f14395,plain,
    ( xn != xk
    | spl21_629 ),
    inference(avatar_component_clause,[],[f14393]) ).

fof(f78058,plain,
    ( ~ spl21_1302
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1300 ),
    inference(avatar_split_clause,[],[f78053,f78044,f59771,f59427,f78055]) ).

fof(f78055,plain,
    ( spl21_1302
  <=> iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1302])]) ).

fof(f78044,plain,
    ( spl21_1300
  <=> iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1300])]) ).

fof(f78053,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1300 ),
    inference(forward_demodulation,[],[f78052,f75310]) ).

fof(f78052,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1300 ),
    inference(forward_demodulation,[],[f78046,f59428]) ).

fof(f78046,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(xn,xp))
    | spl21_1300 ),
    inference(avatar_component_clause,[],[f78044]) ).

fof(f78051,plain,
    ( spl21_1299
    | ~ spl21_2
    | ~ spl21_1300
    | ~ spl21_3
    | spl21_1301
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_393
    | ~ spl21_551
    | ~ spl21_811 ),
    inference(avatar_split_clause,[],[f21861,f21703,f10036,f6437,f4122,f352,f78048,f352,f78044,f347,f78040]) ).

fof(f78048,plain,
    ( spl21_1301
  <=> sP3(sK6,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1301])]) ).

fof(f6437,plain,
    ( spl21_393
  <=> xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_393])]) ).

fof(f10036,plain,
    ( spl21_551
  <=> sK6 = sdtsldt0(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_551])]) ).

fof(f21703,plain,
    ( spl21_811
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_811])]) ).

fof(f21861,plain,
    ( sP3(sK6,xr)
    | ~ aNaturalNumber0(sK6)
    | ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | sP2(xr,xr)
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_393
    | ~ spl21_551
    | ~ spl21_811 ),
    inference(forward_demodulation,[],[f21860,f10038]) ).

fof(f10038,plain,
    ( sK6 = sdtsldt0(xk,xr)
    | ~ spl21_551 ),
    inference(avatar_component_clause,[],[f10036]) ).

fof(f21860,plain,
    ( ~ aNaturalNumber0(sK6)
    | ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | sP3(sdtsldt0(xk,xr),xr)
    | sP2(xr,xr)
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_393
    | ~ spl21_551
    | ~ spl21_811 ),
    inference(forward_demodulation,[],[f21859,f10038]) ).

fof(f21859,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtsldt0(xk,xr))
    | sP3(sdtsldt0(xk,xr),xr)
    | sP2(xr,xr)
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_393
    | ~ spl21_551
    | ~ spl21_811 ),
    inference(forward_demodulation,[],[f21858,f4354]) ).

fof(f4354,plain,
    ( sdtpldt0(xr,sK6) = sdtpldt0(sK6,xr)
    | ~ spl21_3
    | ~ spl21_256 ),
    inference(resolution,[],[f4123,f354]) ).

fof(f21858,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtsldt0(xk,xr))
    | sP3(sdtsldt0(xk,xr),xr)
    | sP2(xr,xr)
    | ~ spl21_393
    | ~ spl21_551
    | ~ spl21_811 ),
    inference(forward_demodulation,[],[f21783,f10038]) ).

fof(f21783,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtsldt0(xk,xr))
    | sP3(sdtsldt0(xk,xr),xr)
    | sP2(xr,xr)
    | ~ spl21_393
    | ~ spl21_811 ),
    inference(trivial_inequality_removal,[],[f21762]) ).

fof(f21762,plain,
    ( xk != xk
    | ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtsldt0(xk,xr))
    | sP3(sdtsldt0(xk,xr),xr)
    | sP2(xr,xr)
    | ~ spl21_393
    | ~ spl21_811 ),
    inference(superposition,[],[f21704,f6439]) ).

fof(f6439,plain,
    ( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
    | ~ spl21_393 ),
    inference(avatar_component_clause,[],[f6437]) ).

fof(f21704,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_811 ),
    inference(avatar_component_clause,[],[f21703]) ).

fof(f78038,plain,
    ( spl21_1297
    | spl21_1298
    | ~ spl21_1
    | ~ spl21_16
    | ~ spl21_1294
    | ~ spl21_16
    | ~ spl21_196
    | ~ spl21_255
    | ~ spl21_811 ),
    inference(avatar_split_clause,[],[f21789,f21703,f4118,f1989,f417,f78013,f417,f342,f78035,f78031]) ).

fof(f78031,plain,
    ( spl21_1297
  <=> sP2(sz10,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1297])]) ).

fof(f78035,plain,
    ( spl21_1298
  <=> sP3(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1298])]) ).

fof(f78013,plain,
    ( spl21_1294
  <=> iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1294])]) ).

fof(f1989,plain,
    ( spl21_196
  <=> xk = sdtasdt0(sz10,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_196])]) ).

fof(f21789,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xr)
    | sP2(sz10,xr)
    | ~ spl21_16
    | ~ spl21_196
    | ~ spl21_255
    | ~ spl21_811 ),
    inference(forward_demodulation,[],[f21785,f4312]) ).

fof(f4312,plain,
    ( sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk)
    | ~ spl21_16
    | ~ spl21_255 ),
    inference(resolution,[],[f4119,f419]) ).

fof(f21785,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xr)
    | sP2(sz10,xr)
    | ~ spl21_196
    | ~ spl21_811 ),
    inference(trivial_inequality_removal,[],[f21732]) ).

fof(f21732,plain,
    ( xk != xk
    | ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | sP3(xk,xr)
    | sP2(sz10,xr)
    | ~ spl21_196
    | ~ spl21_811 ),
    inference(superposition,[],[f21704,f1991]) ).

fof(f1991,plain,
    ( xk = sdtasdt0(sz10,xk)
    | ~ spl21_196 ),
    inference(avatar_component_clause,[],[f1989]) ).

fof(f78029,plain,
    ( ~ spl21_1296
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1294 ),
    inference(avatar_split_clause,[],[f78018,f78013,f59771,f59427,f78026]) ).

fof(f78026,plain,
    ( spl21_1296
  <=> iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1296])]) ).

fof(f78018,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1294 ),
    inference(forward_demodulation,[],[f78017,f75310]) ).

fof(f78017,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1294 ),
    inference(forward_demodulation,[],[f78015,f59428]) ).

fof(f78015,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(xn,xp))
    | spl21_1294 ),
    inference(avatar_component_clause,[],[f78013]) ).

fof(f78023,plain,
    ( ~ spl21_1295
    | spl21_606
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72752,f59427,f13799,f78020]) ).

fof(f78020,plain,
    ( spl21_1295
  <=> sK10 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1295])]) ).

fof(f13799,plain,
    ( spl21_606
  <=> xn = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_606])]) ).

fof(f72752,plain,
    ( sK10 != sK11
    | spl21_606
    | ~ spl21_1046 ),
    inference(superposition,[],[f13801,f59428]) ).

fof(f13801,plain,
    ( xn != sK10
    | spl21_606 ),
    inference(avatar_component_clause,[],[f13799]) ).

fof(f78016,plain,
    ( spl21_1292
    | spl21_1293
    | ~ spl21_16
    | ~ spl21_1
    | ~ spl21_1294
    | ~ spl21_183
    | ~ spl21_811 ),
    inference(avatar_split_clause,[],[f21784,f21703,f1924,f78013,f342,f417,f78009,f78005]) ).

fof(f78005,plain,
    ( spl21_1292
  <=> sP2(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1292])]) ).

fof(f78009,plain,
    ( spl21_1293
  <=> sP3(sz10,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1293])]) ).

fof(f1924,plain,
    ( spl21_183
  <=> xk = sdtasdt0(xk,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_183])]) ).

fof(f21784,plain,
    ( ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sz10)
    | sP3(sz10,xr)
    | sP2(xk,xr)
    | ~ spl21_183
    | ~ spl21_811 ),
    inference(trivial_inequality_removal,[],[f21759]) ).

fof(f21759,plain,
    ( xk != xk
    | ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),xr),sdtpldt0(xn,xp))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sz10)
    | sP3(sz10,xr)
    | sP2(xk,xr)
    | ~ spl21_183
    | ~ spl21_811 ),
    inference(superposition,[],[f21704,f1926]) ).

fof(f1926,plain,
    ( xk = sdtasdt0(xk,sz10)
    | ~ spl21_183 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f78001,plain,
    ( ~ spl21_1291
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1290 ),
    inference(avatar_split_clause,[],[f77996,f77991,f59771,f59427,f77998]) ).

fof(f77998,plain,
    ( spl21_1291
  <=> iLess0(sdtpldt0(xp,xp),sdtpldt0(sK8,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1291])]) ).

fof(f77991,plain,
    ( spl21_1290
  <=> iLess0(sdtpldt0(xp,xp),sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1290])]) ).

fof(f77996,plain,
    ( ~ iLess0(sdtpldt0(xp,xp),sdtpldt0(sK8,xp))
    | ~ spl21_1046
    | ~ spl21_1058
    | spl21_1290 ),
    inference(forward_demodulation,[],[f77995,f75310]) ).

fof(f77995,plain,
    ( ~ iLess0(sdtpldt0(xp,xp),sdtpldt0(sK11,xp))
    | ~ spl21_1046
    | spl21_1290 ),
    inference(forward_demodulation,[],[f77993,f59428]) ).

fof(f77993,plain,
    ( ~ iLess0(sdtpldt0(xp,xp),sdtpldt0(xn,xp))
    | spl21_1290 ),
    inference(avatar_component_clause,[],[f77991]) ).

fof(f77994,plain,
    ( ~ spl21_7
    | ~ spl21_11
    | ~ spl21_15
    | spl21_1288
    | spl21_1289
    | ~ spl21_1290
    | ~ spl21_208
    | ~ spl21_708 ),
    inference(avatar_split_clause,[],[f18015,f17975,f2049,f77991,f77987,f77983,f412,f392,f372]) ).

fof(f77983,plain,
    ( spl21_1288
  <=> sP3(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1288])]) ).

fof(f2049,plain,
    ( spl21_208
  <=> xp = sdtpldt0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_208])]) ).

fof(f18015,plain,
    ( ~ iLess0(sdtpldt0(xp,xp),sdtpldt0(xn,xp))
    | sP2(xp,xp)
    | sP3(sz00,xp)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_208
    | ~ spl21_708 ),
    inference(superposition,[],[f17976,f2051]) ).

fof(f2051,plain,
    ( xp = sdtpldt0(xp,sz00)
    | ~ spl21_208 ),
    inference(avatar_component_clause,[],[f2049]) ).

fof(f77980,plain,
    ( spl21_1287
    | ~ spl21_78
    | ~ spl21_468
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12921,f12647,f8103,f728,f77978]) ).

fof(f77978,plain,
    ( spl21_1287
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1287])]) ).

fof(f8103,plain,
    ( spl21_468
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_468])]) ).

fof(f12921,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_78
    | ~ spl21_468
    | ~ spl21_584 ),
    inference(forward_demodulation,[],[f12829,f12746]) ).

fof(f12746,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10)
    | ~ spl21_78
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f729]) ).

fof(f12829,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_468
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f8104]) ).

fof(f8104,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_468 ),
    inference(avatar_component_clause,[],[f8103]) ).

fof(f77975,plain,
    ( spl21_1286
    | ~ spl21_368
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12797,f12647,f5987,f77973]) ).

fof(f77973,plain,
    ( spl21_1286
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1286])]) ).

fof(f5987,plain,
    ( spl21_368
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_368])]) ).

fof(f12797,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_368
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5988]) ).

fof(f5988,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl21_368 ),
    inference(avatar_component_clause,[],[f5987]) ).

fof(f77970,plain,
    ( spl21_1285
    | ~ spl21_294
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72712,f59427,f5236,f77967]) ).

fof(f77967,plain,
    ( spl21_1285
  <=> iLess0(sK11,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1285])]) ).

fof(f72712,plain,
    ( iLess0(sK11,xp)
    | ~ spl21_294
    | ~ spl21_1046 ),
    inference(superposition,[],[f5238,f59428]) ).

fof(f77964,plain,
    ( spl21_1284
    | ~ spl21_367
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12796,f12647,f5983,f77962]) ).

fof(f77962,plain,
    ( spl21_1284
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1284])]) ).

fof(f5983,plain,
    ( spl21_367
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_367])]) ).

fof(f12796,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_367
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5984]) ).

fof(f5984,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl21_367 ),
    inference(avatar_component_clause,[],[f5983]) ).

fof(f77959,plain,
    ( spl21_1283
    | ~ spl21_366
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12795,f12647,f5979,f77957]) ).

fof(f77957,plain,
    ( spl21_1283
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1283])]) ).

fof(f5979,plain,
    ( spl21_366
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_366])]) ).

fof(f12795,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_366
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5980]) ).

fof(f5980,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl21_366 ),
    inference(avatar_component_clause,[],[f5979]) ).

fof(f77954,plain,
    ( spl21_1282
    | ~ spl21_365
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12794,f12647,f5975,f77952]) ).

fof(f77952,plain,
    ( spl21_1282
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1282])]) ).

fof(f5975,plain,
    ( spl21_365
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_365])]) ).

fof(f12794,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz10) )
    | ~ spl21_365
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5976]) ).

fof(f5976,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl21_365 ),
    inference(avatar_component_clause,[],[f5975]) ).

fof(f77949,plain,
    ( spl21_1281
    | ~ spl21_364
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12793,f12647,f5971,f77947]) ).

fof(f77947,plain,
    ( spl21_1281
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1281])]) ).

fof(f5971,plain,
    ( spl21_364
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_364])]) ).

fof(f12793,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_364
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5972]) ).

fof(f5972,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl21_364 ),
    inference(avatar_component_clause,[],[f5971]) ).

fof(f77944,plain,
    ( spl21_1280
    | ~ spl21_363
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12792,f12647,f5967,f77942]) ).

fof(f77942,plain,
    ( spl21_1280
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1280])]) ).

fof(f5967,plain,
    ( spl21_363
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_363])]) ).

fof(f12792,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_363
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5968]) ).

fof(f5968,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl21_363 ),
    inference(avatar_component_clause,[],[f5967]) ).

fof(f77939,plain,
    ( spl21_1279
    | ~ spl21_362
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12791,f12647,f5963,f77937]) ).

fof(f77937,plain,
    ( spl21_1279
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1279])]) ).

fof(f5963,plain,
    ( spl21_362
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_362])]) ).

fof(f12791,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_362
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5964]) ).

fof(f5964,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl21_362 ),
    inference(avatar_component_clause,[],[f5963]) ).

fof(f77934,plain,
    ( spl21_1278
    | ~ spl21_361
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12790,f12647,f5959,f77932]) ).

fof(f77932,plain,
    ( spl21_1278
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1278])]) ).

fof(f5959,plain,
    ( spl21_361
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_361])]) ).

fof(f12790,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0) = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz10) )
    | ~ spl21_361
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5960]) ).

fof(f5960,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl21_361 ),
    inference(avatar_component_clause,[],[f5959]) ).

fof(f77929,plain,
    ( spl21_1277
    | ~ spl21_154
    | ~ spl21_233
    | ~ spl21_564 ),
    inference(avatar_split_clause,[],[f11541,f11160,f3118,f1760,f77927]) ).

fof(f77927,plain,
    ( spl21_1277
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1277])]) ).

fof(f3118,plain,
    ( spl21_233
  <=> sdtpldt0(xn,xm) = sdtasdt0(sz10,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_233])]) ).

fof(f11160,plain,
    ( spl21_564
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_564])]) ).

fof(f11541,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_233
    | ~ spl21_564 ),
    inference(forward_demodulation,[],[f11514,f3120]) ).

fof(f3120,plain,
    ( sdtpldt0(xn,xm) = sdtasdt0(sz10,sdtpldt0(xn,xm))
    | ~ spl21_233 ),
    inference(avatar_component_clause,[],[f3118]) ).

fof(f11514,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(sz10,sdtpldt0(xn,xm))) )
    | ~ spl21_154
    | ~ spl21_564 ),
    inference(resolution,[],[f11161,f1761]) ).

fof(f1761,plain,
    ( aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_154 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f11161,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1)) )
    | ~ spl21_564 ),
    inference(avatar_component_clause,[],[f11160]) ).

fof(f77921,plain,
    ( spl21_1276
    | ~ spl21_154
    | ~ spl21_472
    | ~ spl21_562 ),
    inference(avatar_split_clause,[],[f11440,f11128,f8487,f1760,f77919]) ).

fof(f77919,plain,
    ( spl21_1276
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz10)) = sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1276])]) ).

fof(f8487,plain,
    ( spl21_472
  <=> sdtpldt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_472])]) ).

fof(f11128,plain,
    ( spl21_562
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_562])]) ).

fof(f11440,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz10)) = sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_472
    | ~ spl21_562 ),
    inference(forward_demodulation,[],[f11414,f8489]) ).

fof(f8489,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xm))
    | ~ spl21_472 ),
    inference(avatar_component_clause,[],[f8487]) ).

fof(f11414,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_562 ),
    inference(resolution,[],[f11129,f1761]) ).

fof(f11129,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_562 ),
    inference(avatar_component_clause,[],[f11128]) ).

fof(f77916,plain,
    ( spl21_1275
    | ~ spl21_154
    | ~ spl21_555 ),
    inference(avatar_split_clause,[],[f11253,f11014,f1760,f77914]) ).

fof(f77914,plain,
    ( spl21_1275
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1275])]) ).

fof(f11014,plain,
    ( spl21_555
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_555])]) ).

fof(f11253,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_154
    | ~ spl21_555 ),
    inference(resolution,[],[f11015,f1761]) ).

fof(f11015,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_555 ),
    inference(avatar_component_clause,[],[f11014]) ).

fof(f77911,plain,
    ( ~ spl21_1274
    | spl21_33
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72684,f59427,f502,f77908]) ).

fof(f77908,plain,
    ( spl21_1274
  <=> sdtlseqdt0(xp,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1274])]) ).

fof(f72684,plain,
    ( ~ sdtlseqdt0(xp,sK11)
    | spl21_33
    | ~ spl21_1046 ),
    inference(superposition,[],[f504,f59428]) ).

fof(f77905,plain,
    ( spl21_1273
    | ~ spl21_154
    | ~ spl21_554 ),
    inference(avatar_split_clause,[],[f11224,f11010,f1760,f77903]) ).

fof(f77903,plain,
    ( spl21_1273
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1273])]) ).

fof(f11010,plain,
    ( spl21_554
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_554])]) ).

fof(f11224,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_154
    | ~ spl21_554 ),
    inference(resolution,[],[f11011,f1761]) ).

fof(f11011,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_554 ),
    inference(avatar_component_clause,[],[f11010]) ).

fof(f77900,plain,
    ( spl21_1272
    | ~ spl21_154
    | ~ spl21_553 ),
    inference(avatar_split_clause,[],[f11195,f11006,f1760,f77898]) ).

fof(f77898,plain,
    ( spl21_1272
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1272])]) ).

fof(f11006,plain,
    ( spl21_553
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_553])]) ).

fof(f11195,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_154
    | ~ spl21_553 ),
    inference(resolution,[],[f11007,f1761]) ).

fof(f11007,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_553 ),
    inference(avatar_component_clause,[],[f11006]) ).

fof(f77895,plain,
    ( spl21_1271
    | ~ spl21_154
    | ~ spl21_552 ),
    inference(avatar_split_clause,[],[f11166,f11002,f1760,f77893]) ).

fof(f77893,plain,
    ( spl21_1271
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1271])]) ).

fof(f11002,plain,
    ( spl21_552
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_552])]) ).

fof(f11166,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_154
    | ~ spl21_552 ),
    inference(resolution,[],[f11003,f1761]) ).

fof(f11003,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_552 ),
    inference(avatar_component_clause,[],[f11002]) ).

fof(f77890,plain,
    ( spl21_1270
    | ~ spl21_154
    | ~ spl21_370
    | ~ spl21_538 ),
    inference(avatar_split_clause,[],[f10518,f9923,f5995,f1760,f77888]) ).

fof(f77888,plain,
    ( spl21_1270
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK12)) = sdtasdt0(X0,sdtpldt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1270])]) ).

fof(f5995,plain,
    ( spl21_370
  <=> sdtpldt0(sdtpldt0(xn,xm),sK12) = sdtpldt0(sK12,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_370])]) ).

fof(f9923,plain,
    ( spl21_538
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK12)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_538])]) ).

fof(f10518,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK12)) = sdtasdt0(X0,sdtpldt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_370
    | ~ spl21_538 ),
    inference(forward_demodulation,[],[f10491,f5997]) ).

fof(f5997,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK12) = sdtpldt0(sK12,sdtpldt0(xn,xm))
    | ~ spl21_370 ),
    inference(avatar_component_clause,[],[f5995]) ).

fof(f10491,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK12)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_538 ),
    inference(resolution,[],[f9924,f1761]) ).

fof(f9924,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK12)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_538 ),
    inference(avatar_component_clause,[],[f9923]) ).

fof(f77885,plain,
    ( spl21_1269
    | ~ spl21_154
    | ~ spl21_360
    | ~ spl21_537 ),
    inference(avatar_split_clause,[],[f10480,f9919,f5948,f1760,f77883]) ).

fof(f77883,plain,
    ( spl21_1269
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK11)) = sdtasdt0(X0,sdtpldt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1269])]) ).

fof(f5948,plain,
    ( spl21_360
  <=> sdtpldt0(sdtpldt0(xn,xm),sK11) = sdtpldt0(sK11,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_360])]) ).

fof(f9919,plain,
    ( spl21_537
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK11)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_537])]) ).

fof(f10480,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK11)) = sdtasdt0(X0,sdtpldt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_360
    | ~ spl21_537 ),
    inference(forward_demodulation,[],[f10453,f5950]) ).

fof(f5950,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK11) = sdtpldt0(sK11,sdtpldt0(xn,xm))
    | ~ spl21_360 ),
    inference(avatar_component_clause,[],[f5948]) ).

fof(f10453,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK11)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_537 ),
    inference(resolution,[],[f9920,f1761]) ).

fof(f9920,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK11)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_537 ),
    inference(avatar_component_clause,[],[f9919]) ).

fof(f77880,plain,
    ( spl21_1268
    | ~ spl21_154
    | ~ spl21_349
    | ~ spl21_536 ),
    inference(avatar_split_clause,[],[f10441,f9915,f5893,f1760,f77878]) ).

fof(f77878,plain,
    ( spl21_1268
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK10)) = sdtasdt0(X0,sdtpldt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1268])]) ).

fof(f5893,plain,
    ( spl21_349
  <=> sdtpldt0(sdtpldt0(xn,xm),sK10) = sdtpldt0(sK10,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_349])]) ).

fof(f9915,plain,
    ( spl21_536
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_536])]) ).

fof(f10441,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK10)) = sdtasdt0(X0,sdtpldt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_349
    | ~ spl21_536 ),
    inference(forward_demodulation,[],[f10414,f5895]) ).

fof(f5895,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK10) = sdtpldt0(sK10,sdtpldt0(xn,xm))
    | ~ spl21_349 ),
    inference(avatar_component_clause,[],[f5893]) ).

fof(f10414,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_536 ),
    inference(resolution,[],[f9916,f1761]) ).

fof(f9916,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_536 ),
    inference(avatar_component_clause,[],[f9915]) ).

fof(f77875,plain,
    ( spl21_1267
    | ~ spl21_154
    | ~ spl21_341
    | ~ spl21_535 ),
    inference(avatar_split_clause,[],[f10401,f9911,f5859,f1760,f77873]) ).

fof(f77873,plain,
    ( spl21_1267
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK9)) = sdtasdt0(X0,sdtpldt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1267])]) ).

fof(f5859,plain,
    ( spl21_341
  <=> sdtpldt0(sdtpldt0(xn,xm),sK9) = sdtpldt0(sK9,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_341])]) ).

fof(f9911,plain,
    ( spl21_535
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK9)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_535])]) ).

fof(f10401,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK9)) = sdtasdt0(X0,sdtpldt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_341
    | ~ spl21_535 ),
    inference(forward_demodulation,[],[f10374,f5861]) ).

fof(f5861,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK9) = sdtpldt0(sK9,sdtpldt0(xn,xm))
    | ~ spl21_341 ),
    inference(avatar_component_clause,[],[f5859]) ).

fof(f10374,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK9)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_535 ),
    inference(resolution,[],[f9912,f1761]) ).

fof(f9912,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK9)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_535 ),
    inference(avatar_component_clause,[],[f9911]) ).

fof(f77869,plain,
    ( spl21_1266
    | ~ spl21_154
    | ~ spl21_324
    | ~ spl21_534 ),
    inference(avatar_split_clause,[],[f10331,f9907,f5658,f1760,f77867]) ).

fof(f77867,plain,
    ( spl21_1266
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK8)) = sdtasdt0(X0,sdtpldt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1266])]) ).

fof(f5658,plain,
    ( spl21_324
  <=> sdtpldt0(sdtpldt0(xn,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_324])]) ).

fof(f9907,plain,
    ( spl21_534
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK8)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_534])]) ).

fof(f10331,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK8)) = sdtasdt0(X0,sdtpldt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_324
    | ~ spl21_534 ),
    inference(forward_demodulation,[],[f10304,f5660]) ).

fof(f5660,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xm))
    | ~ spl21_324 ),
    inference(avatar_component_clause,[],[f5658]) ).

fof(f10304,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK8)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_534 ),
    inference(resolution,[],[f9908,f1761]) ).

fof(f9908,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK8)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_534 ),
    inference(avatar_component_clause,[],[f9907]) ).

fof(f77864,plain,
    ( spl21_1265
    | ~ spl21_154
    | ~ spl21_318
    | ~ spl21_533 ),
    inference(avatar_split_clause,[],[f10289,f9903,f5517,f1760,f77862]) ).

fof(f77862,plain,
    ( spl21_1265
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK7)) = sdtasdt0(X0,sdtpldt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1265])]) ).

fof(f5517,plain,
    ( spl21_318
  <=> sdtpldt0(sdtpldt0(xn,xm),sK7) = sdtpldt0(sK7,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_318])]) ).

fof(f9903,plain,
    ( spl21_533
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK7)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_533])]) ).

fof(f10289,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK7)) = sdtasdt0(X0,sdtpldt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_318
    | ~ spl21_533 ),
    inference(forward_demodulation,[],[f10262,f5519]) ).

fof(f5519,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK7) = sdtpldt0(sK7,sdtpldt0(xn,xm))
    | ~ spl21_318 ),
    inference(avatar_component_clause,[],[f5517]) ).

fof(f10262,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK7)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_533 ),
    inference(resolution,[],[f9904,f1761]) ).

fof(f9904,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK7)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_533 ),
    inference(avatar_component_clause,[],[f9903]) ).

fof(f77859,plain,
    ( spl21_1264
    | ~ spl21_154
    | ~ spl21_310
    | ~ spl21_532 ),
    inference(avatar_split_clause,[],[f10246,f9899,f5425,f1760,f77857]) ).

fof(f77857,plain,
    ( spl21_1264
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK6)) = sdtasdt0(X0,sdtpldt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1264])]) ).

fof(f5425,plain,
    ( spl21_310
  <=> sdtpldt0(sdtpldt0(xn,xm),sK6) = sdtpldt0(sK6,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_310])]) ).

fof(f9899,plain,
    ( spl21_532
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK6)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_532])]) ).

fof(f10246,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK6)) = sdtasdt0(X0,sdtpldt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_310
    | ~ spl21_532 ),
    inference(forward_demodulation,[],[f10219,f5427]) ).

fof(f5427,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK6) = sdtpldt0(sK6,sdtpldt0(xn,xm))
    | ~ spl21_310 ),
    inference(avatar_component_clause,[],[f5425]) ).

fof(f10219,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK6)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_532 ),
    inference(resolution,[],[f9900,f1761]) ).

fof(f9900,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK6)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_532 ),
    inference(avatar_component_clause,[],[f9899]) ).

fof(f77854,plain,
    ( spl21_1263
    | ~ spl21_23
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72683,f59427,f452,f77851]) ).

fof(f77851,plain,
    ( spl21_1263
  <=> sdtlseqdt0(sK11,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1263])]) ).

fof(f72683,plain,
    ( sdtlseqdt0(sK11,xp)
    | ~ spl21_23
    | ~ spl21_1046 ),
    inference(superposition,[],[f454,f59428]) ).

fof(f77848,plain,
    ( spl21_1262
    | ~ spl21_154
    | ~ spl21_299
    | ~ spl21_531 ),
    inference(avatar_split_clause,[],[f10210,f9895,f5262,f1760,f77846]) ).

fof(f77846,plain,
    ( spl21_1262
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xr)) = sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1262])]) ).

fof(f9895,plain,
    ( spl21_531
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_531])]) ).

fof(f10210,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xr)) = sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_299
    | ~ spl21_531 ),
    inference(forward_demodulation,[],[f10183,f5264]) ).

fof(f10183,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_531 ),
    inference(resolution,[],[f9896,f1761]) ).

fof(f9896,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_531 ),
    inference(avatar_component_clause,[],[f9895]) ).

fof(f77843,plain,
    ( spl21_1261
    | ~ spl21_154
    | ~ spl21_291
    | ~ spl21_530 ),
    inference(avatar_split_clause,[],[f10173,f9859,f5005,f1760,f77841]) ).

fof(f77841,plain,
    ( spl21_1261
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xk)) = sdtasdt0(X0,sdtpldt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1261])]) ).

fof(f5005,plain,
    ( spl21_291
  <=> sdtpldt0(xk,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_291])]) ).

fof(f9859,plain,
    ( spl21_530
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xk)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_530])]) ).

fof(f10173,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xk)) = sdtasdt0(X0,sdtpldt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_291
    | ~ spl21_530 ),
    inference(forward_demodulation,[],[f10146,f5007]) ).

fof(f5007,plain,
    ( sdtpldt0(xk,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xk)
    | ~ spl21_291 ),
    inference(avatar_component_clause,[],[f5005]) ).

fof(f10146,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xk)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_530 ),
    inference(resolution,[],[f9860,f1761]) ).

fof(f9860,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xk)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_530 ),
    inference(avatar_component_clause,[],[f9859]) ).

fof(f77836,plain,
    ( spl21_1260
    | ~ spl21_154
    | ~ spl21_281
    | ~ spl21_529 ),
    inference(avatar_split_clause,[],[f10141,f9855,f4964,f1760,f77834]) ).

fof(f77834,plain,
    ( spl21_1260
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xp)) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1260])]) ).

fof(f9855,plain,
    ( spl21_529
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_529])]) ).

fof(f10141,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xp)) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_281
    | ~ spl21_529 ),
    inference(forward_demodulation,[],[f10115,f4966]) ).

fof(f10115,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xp)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_529 ),
    inference(resolution,[],[f9856,f1761]) ).

fof(f9856,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_529 ),
    inference(avatar_component_clause,[],[f9855]) ).

fof(f77829,plain,
    ( spl21_1259
    | ~ spl21_154
    | ~ spl21_279
    | ~ spl21_528 ),
    inference(avatar_split_clause,[],[f10108,f9851,f4676,f1760,f77827]) ).

fof(f77827,plain,
    ( spl21_1259
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1259])]) ).

fof(f4676,plain,
    ( spl21_279
  <=> sdtpldt0(xm,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_279])]) ).

fof(f9851,plain,
    ( spl21_528
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_528])]) ).

fof(f10108,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_279
    | ~ spl21_528 ),
    inference(forward_demodulation,[],[f10081,f4678]) ).

fof(f4678,plain,
    ( sdtpldt0(xm,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xm)
    | ~ spl21_279 ),
    inference(avatar_component_clause,[],[f4676]) ).

fof(f10081,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_528 ),
    inference(resolution,[],[f9852,f1761]) ).

fof(f9852,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_528 ),
    inference(avatar_component_clause,[],[f9851]) ).

fof(f77824,plain,
    ( spl21_1258
    | ~ spl21_154
    | ~ spl21_278
    | ~ spl21_527 ),
    inference(avatar_split_clause,[],[f10073,f9847,f4372,f1760,f77822]) ).

fof(f77822,plain,
    ( spl21_1258
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1258])]) ).

fof(f4372,plain,
    ( spl21_278
  <=> sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_278])]) ).

fof(f9847,plain,
    ( spl21_527
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_527])]) ).

fof(f10073,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_278
    | ~ spl21_527 ),
    inference(forward_demodulation,[],[f10046,f4374]) ).

fof(f4374,plain,
    ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xn)
    | ~ spl21_278 ),
    inference(avatar_component_clause,[],[f4372]) ).

fof(f10046,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xn)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_527 ),
    inference(resolution,[],[f9848,f1761]) ).

fof(f9848,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_527 ),
    inference(avatar_component_clause,[],[f9847]) ).

fof(f77819,plain,
    ( spl21_1257
    | ~ spl21_130
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1818,f1760,f1362,f77817]) ).

fof(f77817,plain,
    ( spl21_1257
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1257])]) ).

fof(f1362,plain,
    ( spl21_130
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_130])]) ).

fof(f1818,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_130
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f1363]) ).

fof(f1363,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_130 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f77814,plain,
    ( spl21_1256
    | ~ spl21_129
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1817,f1760,f1358,f77812]) ).

fof(f77812,plain,
    ( spl21_1256
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1256])]) ).

fof(f1358,plain,
    ( spl21_129
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_129])]) ).

fof(f1817,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_129
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f1359]) ).

fof(f1359,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_129 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f77742,plain,
    ( spl21_1255
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1254 ),
    inference(avatar_split_clause,[],[f77738,f77734,f59771,f59427,f77740]) ).

fof(f77734,plain,
    ( spl21_1254
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtsldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1254])]) ).

fof(f77738,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK8) = sdtsldt0(sdtasdt0(X0,sK8),sK8)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1254 ),
    inference(forward_demodulation,[],[f77737,f75310]) ).

fof(f77737,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK11) = sdtsldt0(sdtasdt0(X0,sK11),sK11)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1254 ),
    inference(forward_demodulation,[],[f77735,f59428]) ).

fof(f77735,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtsldt0(sdtasdt0(X0,xn),xn) )
    | ~ spl21_1254 ),
    inference(avatar_component_clause,[],[f77734]) ).

fof(f77736,plain,
    ( ~ spl21_16
    | spl21_634
    | ~ spl21_5
    | spl21_1254
    | ~ spl21_180
    | ~ spl21_790
    | ~ spl21_1059 ),
    inference(avatar_split_clause,[],[f60714,f60301,f20392,f1907,f77734,f362,f15027,f417]) ).

fof(f15027,plain,
    ( spl21_634
  <=> xn = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_634])]) ).

fof(f1907,plain,
    ( spl21_180
  <=> xn = sdtasdt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_180])]) ).

fof(f20392,plain,
    ( spl21_790
  <=> ! [X2,X0,X1] :
        ( xm = X1
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_790])]) ).

fof(f60301,plain,
    ( spl21_1059
  <=> xn = sdtsldt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1059])]) ).

fof(f60714,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtsldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | xn = xm
        | ~ aNaturalNumber0(sz10) )
    | ~ spl21_180
    | ~ spl21_790
    | ~ spl21_1059 ),
    inference(forward_demodulation,[],[f20487,f60303]) ).

fof(f60303,plain,
    ( xn = sdtsldt0(xn,xn)
    | ~ spl21_1059 ),
    inference(avatar_component_clause,[],[f60301]) ).

fof(f20487,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn)
        | xn = xm
        | ~ aNaturalNumber0(sz10) )
    | ~ spl21_180
    | ~ spl21_790 ),
    inference(duplicate_literal_removal,[],[f20436]) ).

fof(f20436,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn)
        | xn = xm
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl21_180
    | ~ spl21_790 ),
    inference(superposition,[],[f20393,f1909]) ).

fof(f1909,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl21_180 ),
    inference(avatar_component_clause,[],[f1907]) ).

fof(f20393,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | xm = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_790 ),
    inference(avatar_component_clause,[],[f20392]) ).

fof(f77643,plain,
    ( spl21_1253
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1252 ),
    inference(avatar_split_clause,[],[f77638,f77632,f59771,f59427,f50439,f77640]) ).

fof(f77640,plain,
    ( spl21_1253
  <=> sz00 = sdtasdt0(sz00,sK18(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1253])]) ).

fof(f77632,plain,
    ( spl21_1252
  <=> sz00 = sdtasdt0(sz00,sK18(sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1252])]) ).

fof(f77638,plain,
    ( sz00 = sdtasdt0(sz00,sK18(sK8))
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1252 ),
    inference(forward_demodulation,[],[f77637,f75310]) ).

fof(f77637,plain,
    ( sz00 = sdtasdt0(sz00,sK18(sK11))
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1252 ),
    inference(forward_demodulation,[],[f77636,f59428]) ).

fof(f77636,plain,
    ( sz00 = sdtasdt0(sz00,sK18(xn))
    | ~ spl21_1030
    | ~ spl21_1252 ),
    inference(forward_demodulation,[],[f77634,f50441]) ).

fof(f77634,plain,
    ( sz00 = sdtasdt0(sz00,sK18(sdtpldt0(xn,xm)))
    | ~ spl21_1252 ),
    inference(avatar_component_clause,[],[f77632]) ).

fof(f77635,plain,
    ( spl21_1252
    | spl21_1232
    | spl21_1233
    | ~ spl21_154
    | ~ spl21_402 ),
    inference(avatar_split_clause,[],[f6636,f6513,f1760,f74577,f74573,f77632]) ).

fof(f74573,plain,
    ( spl21_1232
  <=> sz10 = sdtpldt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1232])]) ).

fof(f74577,plain,
    ( spl21_1233
  <=> sz00 = sdtpldt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1233])]) ).

fof(f6513,plain,
    ( spl21_402
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_402])]) ).

fof(f6636,plain,
    ( sz00 = sdtpldt0(xn,xm)
    | sz10 = sdtpldt0(xn,xm)
    | sz00 = sdtasdt0(sz00,sK18(sdtpldt0(xn,xm)))
    | ~ spl21_154
    | ~ spl21_402 ),
    inference(resolution,[],[f6514,f1761]) ).

fof(f6514,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sz00,sK18(X0)) )
    | ~ spl21_402 ),
    inference(avatar_component_clause,[],[f6513]) ).

fof(f77578,plain,
    ( spl21_1251
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1187 ),
    inference(avatar_split_clause,[],[f76914,f69475,f59771,f59427,f77576]) ).

fof(f77576,plain,
    ( spl21_1251
  <=> ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1251])]) ).

fof(f69475,plain,
    ( spl21_1187
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1187])]) ).

fof(f76914,plain,
    ( ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1187 ),
    inference(forward_demodulation,[],[f70321,f75310]) ).

fof(f70321,plain,
    ( ! [X0] :
        ( sK11 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1187 ),
    inference(forward_demodulation,[],[f69476,f59428]) ).

fof(f69476,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1187 ),
    inference(avatar_component_clause,[],[f69475]) ).

fof(f77574,plain,
    ( spl21_1250
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1185 ),
    inference(avatar_split_clause,[],[f76913,f69465,f59771,f59427,f77572]) ).

fof(f77572,plain,
    ( spl21_1250
  <=> ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1250])]) ).

fof(f69465,plain,
    ( spl21_1185
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1185])]) ).

fof(f76913,plain,
    ( ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1185 ),
    inference(forward_demodulation,[],[f70326,f75310]) ).

fof(f70326,plain,
    ( ! [X0] :
        ( sK11 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1185 ),
    inference(forward_demodulation,[],[f69466,f59428]) ).

fof(f69466,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1185 ),
    inference(avatar_component_clause,[],[f69465]) ).

fof(f77570,plain,
    ( spl21_1249
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1184 ),
    inference(avatar_split_clause,[],[f76912,f69460,f59771,f59427,f77568]) ).

fof(f77568,plain,
    ( spl21_1249
  <=> ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1249])]) ).

fof(f69460,plain,
    ( spl21_1184
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1184])]) ).

fof(f76912,plain,
    ( ! [X0] :
        ( sK8 = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1184 ),
    inference(forward_demodulation,[],[f76911,f75310]) ).

fof(f76911,plain,
    ( ! [X0] :
        ( sK11 = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1184 ),
    inference(forward_demodulation,[],[f69461,f59428]) ).

fof(f69461,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1184 ),
    inference(avatar_component_clause,[],[f69460]) ).

fof(f77308,plain,
    ( spl21_1248
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1231 ),
    inference(avatar_split_clause,[],[f76454,f74569,f59771,f59427,f50439,f77305]) ).

fof(f77305,plain,
    ( spl21_1248
  <=> sz00 = sdtasdt0(sK18(sK8),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1248])]) ).

fof(f74569,plain,
    ( spl21_1231
  <=> sz00 = sdtasdt0(sK18(sdtpldt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1231])]) ).

fof(f76454,plain,
    ( sz00 = sdtasdt0(sK18(sK8),sz00)
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f76453,f75310]) ).

fof(f76453,plain,
    ( sz00 = sdtasdt0(sK18(sK11),sz00)
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f76452,f59428]) ).

fof(f76452,plain,
    ( sz00 = sdtasdt0(sK18(xn),sz00)
    | ~ spl21_1030
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f74571,f50441]) ).

fof(f74571,plain,
    ( sz00 = sdtasdt0(sK18(sdtpldt0(xn,xm)),sz00)
    | ~ spl21_1231 ),
    inference(avatar_component_clause,[],[f74569]) ).

fof(f75912,plain,
    ( spl21_934
    | spl21_1201
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_616
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74673,f69691,f14191,f407,f69875,f69870,f38214]) ).

fof(f38214,plain,
    ( spl21_934
  <=> sz10 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_934])]) ).

fof(f69870,plain,
    ( spl21_1201
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK11)) = sdtasdt0(sK18(sK11),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1201])]) ).

fof(f69875,plain,
    ( spl21_1202
  <=> sK9 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1202])]) ).

fof(f14191,plain,
    ( spl21_616
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_616])]) ).

fof(f69691,plain,
    ( spl21_1197
  <=> sz00 = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1197])]) ).

fof(f74673,plain,
    ( ! [X0] :
        ( sK9 = sK11
        | ~ aNaturalNumber0(X0)
        | sz10 = sK11
        | sdtasdt0(X0,sK18(sK11)) = sdtasdt0(sK18(sK11),X0) )
    | ~ spl21_14
    | ~ spl21_616
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f50462,f69693]) ).

fof(f69693,plain,
    ( sz00 = sK9
    | ~ spl21_1197 ),
    inference(avatar_component_clause,[],[f69691]) ).

fof(f50462,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz10 = sK11
        | sz00 = sK11
        | sdtasdt0(X0,sK18(sK11)) = sdtasdt0(sK18(sK11),X0) )
    | ~ spl21_14
    | ~ spl21_616 ),
    inference(resolution,[],[f14192,f409]) ).

fof(f14192,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0) )
    | ~ spl21_616 ),
    inference(avatar_component_clause,[],[f14191]) ).

fof(f75860,plain,
    ( spl21_1247
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1245 ),
    inference(avatar_split_clause,[],[f75851,f75848,f59771,f59427,f75858]) ).

fof(f75858,plain,
    ( spl21_1247
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(sK8)) = sdtpldt0(sK18(sK8),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1247])]) ).

fof(f75848,plain,
    ( spl21_1245
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK18(sK11)) = sdtpldt0(sK18(sK11),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1245])]) ).

fof(f75851,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(sK8)) = sdtpldt0(sK18(sK8),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1245 ),
    inference(forward_demodulation,[],[f75849,f75310]) ).

fof(f75849,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK18(sK11)) = sdtpldt0(sK18(sK11),X0) )
    | ~ spl21_1245 ),
    inference(avatar_component_clause,[],[f75848]) ).

fof(f75856,plain,
    ( ~ spl21_1246
    | spl21_597
    | ~ spl21_1058 ),
    inference(avatar_split_clause,[],[f75379,f59771,f13118,f75853]) ).

fof(f75853,plain,
    ( spl21_1246
  <=> sP1(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1246])]) ).

fof(f13118,plain,
    ( spl21_597
  <=> sP1(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_597])]) ).

fof(f75379,plain,
    ( ~ sP1(sK8)
    | spl21_597
    | ~ spl21_1058 ),
    inference(superposition,[],[f13119,f59772]) ).

fof(f13119,plain,
    ( ~ sP1(xn)
    | spl21_597 ),
    inference(avatar_component_clause,[],[f13118]) ).

fof(f75850,plain,
    ( spl21_934
    | spl21_1245
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_612
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74672,f69691,f14086,f407,f69875,f75848,f38214]) ).

fof(f14086,plain,
    ( spl21_612
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_612])]) ).

fof(f74672,plain,
    ( ! [X0] :
        ( sK9 = sK11
        | ~ aNaturalNumber0(X0)
        | sz10 = sK11
        | sdtpldt0(X0,sK18(sK11)) = sdtpldt0(sK18(sK11),X0) )
    | ~ spl21_14
    | ~ spl21_612
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f50387,f69693]) ).

fof(f50387,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz10 = sK11
        | sz00 = sK11
        | sdtpldt0(X0,sK18(sK11)) = sdtpldt0(sK18(sK11),X0) )
    | ~ spl21_14
    | ~ spl21_612 ),
    inference(resolution,[],[f14087,f409]) ).

fof(f14087,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0) )
    | ~ spl21_612 ),
    inference(avatar_component_clause,[],[f14086]) ).

fof(f75781,plain,
    ( spl21_1244
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1243 ),
    inference(avatar_split_clause,[],[f75776,f75772,f59771,f59427,f75778]) ).

fof(f75778,plain,
    ( spl21_1244
  <=> sK8 = sdtpldt0(sz10,sdtmndt0(sK8,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1244])]) ).

fof(f75772,plain,
    ( spl21_1243
  <=> sK11 = sdtpldt0(sz10,sdtmndt0(sK11,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1243])]) ).

fof(f75776,plain,
    ( sK8 = sdtpldt0(sz10,sdtmndt0(sK8,sz10))
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1243 ),
    inference(forward_demodulation,[],[f75774,f75310]) ).

fof(f75774,plain,
    ( sK11 = sdtpldt0(sz10,sdtmndt0(sK11,sz10))
    | ~ spl21_1243 ),
    inference(avatar_component_clause,[],[f75772]) ).

fof(f75775,plain,
    ( spl21_1243
    | spl21_934
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_558
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74625,f69691,f11081,f407,f69875,f38214,f75772]) ).

fof(f11081,plain,
    ( spl21_558
  <=> ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_558])]) ).

fof(f74625,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK11 = sdtpldt0(sz10,sdtmndt0(sK11,sz10))
    | ~ spl21_14
    | ~ spl21_558
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f11102,f69693]) ).

fof(f11102,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK11 = sdtpldt0(sz10,sdtmndt0(sK11,sz10))
    | ~ spl21_14
    | ~ spl21_558 ),
    inference(resolution,[],[f11082,f409]) ).

fof(f11082,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
    | ~ spl21_558 ),
    inference(avatar_component_clause,[],[f11081]) ).

fof(f75705,plain,
    ( spl21_1242
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1241 ),
    inference(avatar_split_clause,[],[f75700,f75696,f59771,f59427,f75702]) ).

fof(f75702,plain,
    ( spl21_1242
  <=> sK8 = sdtpldt0(sz10,sK20(sz10,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1242])]) ).

fof(f75696,plain,
    ( spl21_1241
  <=> sK11 = sdtpldt0(sz10,sK20(sz10,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1241])]) ).

fof(f75700,plain,
    ( sK8 = sdtpldt0(sz10,sK20(sz10,sK8))
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1241 ),
    inference(forward_demodulation,[],[f75698,f75310]) ).

fof(f75698,plain,
    ( sK11 = sdtpldt0(sz10,sK20(sz10,sK11))
    | ~ spl21_1241 ),
    inference(avatar_component_clause,[],[f75696]) ).

fof(f75699,plain,
    ( spl21_1241
    | spl21_934
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_557
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74624,f69691,f11046,f407,f69875,f38214,f75696]) ).

fof(f11046,plain,
    ( spl21_557
  <=> ! [X0] :
        ( sdtpldt0(sz10,sK20(sz10,X0)) = X0
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_557])]) ).

fof(f74624,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK11 = sdtpldt0(sz10,sK20(sz10,sK11))
    | ~ spl21_14
    | ~ spl21_557
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f11067,f69693]) ).

fof(f11067,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK11 = sdtpldt0(sz10,sK20(sz10,sK11))
    | ~ spl21_14
    | ~ spl21_557 ),
    inference(resolution,[],[f11047,f409]) ).

fof(f11047,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtpldt0(sz10,sK20(sz10,X0)) = X0 )
    | ~ spl21_557 ),
    inference(avatar_component_clause,[],[f11046]) ).

fof(f75598,plain,
    ( spl21_1240
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1239 ),
    inference(avatar_split_clause,[],[f75593,f75589,f59771,f59427,f75595]) ).

fof(f75595,plain,
    ( spl21_1240
  <=> sK18(sK8) = sdtpldt0(sK9,sK18(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1240])]) ).

fof(f75589,plain,
    ( spl21_1239
  <=> sK18(sK11) = sdtpldt0(sK9,sK18(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1239])]) ).

fof(f75593,plain,
    ( sK18(sK8) = sdtpldt0(sK9,sK18(sK8))
    | ~ spl21_1046
    | ~ spl21_1058
    | ~ spl21_1239 ),
    inference(forward_demodulation,[],[f75591,f75310]) ).

fof(f75591,plain,
    ( sK18(sK11) = sdtpldt0(sK9,sK18(sK11))
    | ~ spl21_1239 ),
    inference(avatar_component_clause,[],[f75589]) ).

fof(f75592,plain,
    ( spl21_934
    | spl21_1202
    | spl21_1239
    | ~ spl21_14
    | ~ spl21_463
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74615,f69691,f8055,f407,f75589,f69875,f38214]) ).

fof(f8055,plain,
    ( spl21_463
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtpldt0(sz00,sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_463])]) ).

fof(f74615,plain,
    ( sK18(sK11) = sdtpldt0(sK9,sK18(sK11))
    | sK9 = sK11
    | sz10 = sK11
    | ~ spl21_14
    | ~ spl21_463
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f74614,f69693]) ).

fof(f74614,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtpldt0(sz00,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_463
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f8278,f69693]) ).

fof(f8278,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtpldt0(sz00,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_463 ),
    inference(resolution,[],[f8056,f409]) ).

fof(f8056,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK18(X0) = sdtpldt0(sz00,sK18(X0)) )
    | ~ spl21_463 ),
    inference(avatar_component_clause,[],[f8055]) ).

fof(f75221,plain,
    ( spl21_934
    | spl21_1202
    | spl21_1238
    | ~ spl21_14
    | ~ spl21_462
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74613,f69691,f8051,f407,f75218,f69875,f38214]) ).

fof(f75218,plain,
    ( spl21_1238
  <=> sK18(sK11) = sdtpldt0(sK18(sK11),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1238])]) ).

fof(f8051,plain,
    ( spl21_462
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtpldt0(sK18(X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_462])]) ).

fof(f74613,plain,
    ( sK18(sK11) = sdtpldt0(sK18(sK11),sK9)
    | sK9 = sK11
    | sz10 = sK11
    | ~ spl21_14
    | ~ spl21_462
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f74612,f69693]) ).

fof(f74612,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtpldt0(sK18(sK11),sz00)
    | ~ spl21_14
    | ~ spl21_462
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f8247,f69693]) ).

fof(f8247,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtpldt0(sK18(sK11),sz00)
    | ~ spl21_14
    | ~ spl21_462 ),
    inference(resolution,[],[f8052,f409]) ).

fof(f8052,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK18(X0) = sdtpldt0(sK18(X0),sz00) )
    | ~ spl21_462 ),
    inference(avatar_component_clause,[],[f8051]) ).

fof(f75089,plain,
    ( spl21_1237
    | spl21_934
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_461
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74611,f69691,f8047,f407,f69875,f38214,f75086]) ).

fof(f75086,plain,
    ( spl21_1237
  <=> sK18(sK11) = sdtasdt0(sz10,sK18(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1237])]) ).

fof(f8047,plain,
    ( spl21_461
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtasdt0(sz10,sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_461])]) ).

fof(f74611,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtasdt0(sz10,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_461
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f8216,f69693]) ).

fof(f8216,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtasdt0(sz10,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_461 ),
    inference(resolution,[],[f8048,f409]) ).

fof(f8048,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK18(X0) = sdtasdt0(sz10,sK18(X0)) )
    | ~ spl21_461 ),
    inference(avatar_component_clause,[],[f8047]) ).

fof(f74921,plain,
    ( spl21_1236
    | spl21_934
    | spl21_1202
    | ~ spl21_14
    | ~ spl21_460
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74610,f69691,f8043,f407,f69875,f38214,f74918]) ).

fof(f74918,plain,
    ( spl21_1236
  <=> sK18(sK11) = sdtasdt0(sK18(sK11),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1236])]) ).

fof(f8043,plain,
    ( spl21_460
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtasdt0(sK18(X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_460])]) ).

fof(f74610,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtasdt0(sK18(sK11),sz10)
    | ~ spl21_14
    | ~ spl21_460
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f8185,f69693]) ).

fof(f8185,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sK18(sK11) = sdtasdt0(sK18(sK11),sz10)
    | ~ spl21_14
    | ~ spl21_460 ),
    inference(resolution,[],[f8044,f409]) ).

fof(f8044,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK18(X0) = sdtasdt0(sK18(X0),sz10) )
    | ~ spl21_460 ),
    inference(avatar_component_clause,[],[f8043]) ).

fof(f74819,plain,
    ( spl21_934
    | spl21_1202
    | spl21_1235
    | ~ spl21_14
    | ~ spl21_402
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f74609,f69691,f6513,f407,f74816,f69875,f38214]) ).

fof(f74816,plain,
    ( spl21_1235
  <=> sK9 = sdtasdt0(sK9,sK18(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1235])]) ).

fof(f74609,plain,
    ( sK9 = sdtasdt0(sK9,sK18(sK11))
    | sK9 = sK11
    | sz10 = sK11
    | ~ spl21_14
    | ~ spl21_402
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f74608,f69693]) ).

fof(f74608,plain,
    ( sK9 = sK11
    | sz10 = sK11
    | sz00 = sdtasdt0(sz00,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_402
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f6651,f69693]) ).

fof(f6651,plain,
    ( sz00 = sK11
    | sz10 = sK11
    | sz00 = sdtasdt0(sz00,sK18(sK11))
    | ~ spl21_14
    | ~ spl21_402 ),
    inference(resolution,[],[f6514,f409]) ).

fof(f74691,plain,
    ( spl21_1234
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1197
    | ~ spl21_1231 ),
    inference(avatar_split_clause,[],[f74686,f74569,f69691,f59427,f50439,f74688]) ).

fof(f74688,plain,
    ( spl21_1234
  <=> sK9 = sdtasdt0(sK18(sK11),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1234])]) ).

fof(f74686,plain,
    ( sK9 = sdtasdt0(sK18(sK11),sK9)
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1197
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f74685,f59428]) ).

fof(f74685,plain,
    ( sK9 = sdtasdt0(sK18(xn),sK9)
    | ~ spl21_1030
    | ~ spl21_1197
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f74684,f50441]) ).

fof(f74684,plain,
    ( sK9 = sdtasdt0(sK18(sdtpldt0(xn,xm)),sK9)
    | ~ spl21_1197
    | ~ spl21_1231 ),
    inference(forward_demodulation,[],[f74571,f69693]) ).

fof(f74593,plain,
    ( spl21_934
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1232 ),
    inference(avatar_split_clause,[],[f74592,f74573,f59427,f50439,f38214]) ).

fof(f74592,plain,
    ( sz10 = sK11
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1232 ),
    inference(forward_demodulation,[],[f74591,f59428]) ).

fof(f74591,plain,
    ( sz10 = xn
    | ~ spl21_1030
    | ~ spl21_1232 ),
    inference(forward_demodulation,[],[f74575,f50441]) ).

fof(f74575,plain,
    ( sz10 = sdtpldt0(xn,xm)
    | ~ spl21_1232 ),
    inference(avatar_component_clause,[],[f74573]) ).

fof(f74589,plain,
    ( spl21_1202
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1197
    | ~ spl21_1233 ),
    inference(avatar_split_clause,[],[f74583,f74577,f69691,f59427,f50439,f69875]) ).

fof(f74583,plain,
    ( sK9 = sK11
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1197
    | ~ spl21_1233 ),
    inference(forward_demodulation,[],[f74582,f69693]) ).

fof(f74582,plain,
    ( sz00 = sK11
    | ~ spl21_1030
    | ~ spl21_1046
    | ~ spl21_1233 ),
    inference(forward_demodulation,[],[f74581,f59428]) ).

fof(f74581,plain,
    ( sz00 = xn
    | ~ spl21_1030
    | ~ spl21_1233 ),
    inference(forward_demodulation,[],[f74579,f50441]) ).

fof(f74579,plain,
    ( sz00 = sdtpldt0(xn,xm)
    | ~ spl21_1233 ),
    inference(avatar_component_clause,[],[f74577]) ).

fof(f74580,plain,
    ( spl21_1231
    | spl21_1232
    | spl21_1233
    | ~ spl21_154
    | ~ spl21_401 ),
    inference(avatar_split_clause,[],[f6605,f6509,f1760,f74577,f74573,f74569]) ).

fof(f6509,plain,
    ( spl21_401
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK18(X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_401])]) ).

fof(f6605,plain,
    ( sz00 = sdtpldt0(xn,xm)
    | sz10 = sdtpldt0(xn,xm)
    | sz00 = sdtasdt0(sK18(sdtpldt0(xn,xm)),sz00)
    | ~ spl21_154
    | ~ spl21_401 ),
    inference(resolution,[],[f6510,f1761]) ).

fof(f6510,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sK18(X0),sz00) )
    | ~ spl21_401 ),
    inference(avatar_component_clause,[],[f6509]) ).

fof(f74394,plain,
    ( ~ spl21_1
    | spl21_947
    | ~ spl21_10
    | spl21_1230
    | ~ spl21_158
    | ~ spl21_705
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f73452,f69691,f17698,f1783,f74391,f387,f38369,f342]) ).

fof(f38369,plain,
    ( spl21_947
  <=> xm = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_947])]) ).

fof(f74391,plain,
    ( spl21_1230
  <=> sK9 = sdtasdt0(xk,sdtsldt0(sK9,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1230])]) ).

fof(f1783,plain,
    ( spl21_158
  <=> sz00 = sdtasdt0(xk,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_158])]) ).

fof(f17698,plain,
    ( spl21_705
  <=> ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_705])]) ).

fof(f73452,plain,
    ( sK9 = sdtasdt0(xk,sdtsldt0(sK9,xk))
    | ~ aNaturalNumber0(sK9)
    | xm = xk
    | ~ aNaturalNumber0(xk)
    | ~ spl21_158
    | ~ spl21_705
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f73451,f69693]) ).

fof(f73451,plain,
    ( ~ aNaturalNumber0(sK9)
    | sz00 = sdtasdt0(xk,sdtsldt0(sz00,xk))
    | xm = xk
    | ~ aNaturalNumber0(xk)
    | ~ spl21_158
    | ~ spl21_705
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f17790,f69693]) ).

fof(f17790,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(xk,sdtsldt0(sz00,xk))
    | xm = xk
    | ~ aNaturalNumber0(xk)
    | ~ spl21_158
    | ~ spl21_705 ),
    inference(duplicate_literal_removal,[],[f17750]) ).

fof(f17750,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(xk,sdtsldt0(sz00,xk))
    | xm = xk
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sz00)
    | ~ spl21_158
    | ~ spl21_705 ),
    inference(superposition,[],[f17699,f1785]) ).

fof(f1785,plain,
    ( sz00 = sdtasdt0(xk,sz00)
    | ~ spl21_158 ),
    inference(avatar_component_clause,[],[f1783]) ).

fof(f17699,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_705 ),
    inference(avatar_component_clause,[],[f17698]) ).

fof(f74389,plain,
    ( ~ spl21_1229
    | spl21_597
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f72750,f59427,f13118,f74386]) ).

fof(f74386,plain,
    ( spl21_1229
  <=> sP1(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1229])]) ).

fof(f72750,plain,
    ( ~ sP1(sK11)
    | spl21_597
    | ~ spl21_1046 ),
    inference(superposition,[],[f13119,f59428]) ).

fof(f74384,plain,
    ( ~ spl21_1228
    | spl21_621
    | ~ spl21_1046 ),
    inference(avatar_split_clause,[],[f74253,f59427,f14253,f74381]) ).

fof(f74381,plain,
    ( spl21_1228
  <=> xr = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1228])]) ).

fof(f74253,plain,
    ( xr != sK11
    | spl21_621
    | ~ spl21_1046 ),
    inference(forward_demodulation,[],[f14255,f59428]) ).

fof(f73306,plain,
    ( spl21_1227
    | ~ spl21_947
    | ~ spl21_1220 ),
    inference(avatar_split_clause,[],[f73278,f73275,f38369,f73304]) ).

fof(f73304,plain,
    ( spl21_1227
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),xk) = sdtasdt0(xk,sK17(X0))
        | sK9 = X0
        | sK11 = X0
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1227])]) ).

fof(f73275,plain,
    ( spl21_1220
  <=> ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1220])]) ).

fof(f73278,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),xk) = sdtasdt0(xk,sK17(X0))
        | sK9 = X0
        | sK11 = X0
        | sP4(X0) )
    | ~ spl21_947
    | ~ spl21_1220 ),
    inference(forward_demodulation,[],[f73276,f38370]) ).

fof(f38370,plain,
    ( xm = xk
    | ~ spl21_947 ),
    inference(avatar_component_clause,[],[f38369]) ).

fof(f73276,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sK11 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sK9 = X0 )
    | ~ spl21_1220 ),
    inference(avatar_component_clause,[],[f73275]) ).

fof(f73302,plain,
    ( spl21_1224
    | spl21_1225
    | spl21_1226
    | ~ spl21_3
    | ~ spl21_1039
    | ~ spl21_1046
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f71809,f69691,f59427,f59277,f352,f73299,f73295,f73292]) ).

fof(f73292,plain,
    ( spl21_1224
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK6)) = sdtasdt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1224])]) ).

fof(f73295,plain,
    ( spl21_1225
  <=> sK6 = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1225])]) ).

fof(f73299,plain,
    ( spl21_1226
  <=> sK6 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1226])]) ).

fof(f59277,plain,
    ( spl21_1039
  <=> ! [X0,X1] :
        ( xn = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1039])]) ).

fof(f71809,plain,
    ( ! [X0] :
        ( sK6 = sK11
        | sK6 = sK9
        | sdtasdt0(X0,sK18(sK6)) = sdtasdt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_1039
    | ~ spl21_1046
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f71808,f59428]) ).

fof(f71808,plain,
    ( ! [X0] :
        ( sK6 = sK9
        | sdtasdt0(X0,sK18(sK6)) = sdtasdt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0)
        | xn = sK6 )
    | ~ spl21_3
    | ~ spl21_1039
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f59371,f69693]) ).

fof(f59371,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK6)) = sdtasdt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK6
        | xn = sK6 )
    | ~ spl21_3
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f354]) ).

fof(f59278,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | xn = X1 )
    | ~ spl21_1039 ),
    inference(avatar_component_clause,[],[f59277]) ).

fof(f73290,plain,
    ( spl21_1223
    | ~ spl21_1046
    | ~ spl21_1184
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f70330,f69691,f69460,f59427,f73288]) ).

fof(f73288,plain,
    ( spl21_1223
  <=> ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1223])]) ).

fof(f70330,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1046
    | ~ spl21_1184
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70329,f69693]) ).

fof(f70329,plain,
    ( ! [X0] :
        ( sK11 = X0
        | sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1184
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70328,f59428]) ).

fof(f70328,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1184
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f69461,f69693]) ).

fof(f73286,plain,
    ( spl21_1222
    | ~ spl21_1046
    | ~ spl21_1185
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f70327,f69691,f69465,f59427,f73284]) ).

fof(f73284,plain,
    ( spl21_1222
  <=> ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1222])]) ).

fof(f70327,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1046
    | ~ spl21_1185
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70326,f69693]) ).

fof(f73282,plain,
    ( spl21_1221
    | ~ spl21_1046
    | ~ spl21_1186
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f70325,f69691,f69470,f59427,f73280]) ).

fof(f73280,plain,
    ( spl21_1221
  <=> ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sK11) = sdtasdt0(sK11,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1221])]) ).

fof(f69470,plain,
    ( spl21_1186
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),xn) = sdtasdt0(xn,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1186])]) ).

fof(f70325,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),sK11) = sdtasdt0(sK11,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1046
    | ~ spl21_1186
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70324,f69693]) ).

fof(f70324,plain,
    ( ! [X0] :
        ( sK11 = X0
        | sdtasdt0(sK17(X0),sK11) = sdtasdt0(sK11,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1186 ),
    inference(forward_demodulation,[],[f70323,f59428]) ).

fof(f70323,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sK11) = sdtasdt0(sK11,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1046
    | ~ spl21_1186 ),
    inference(forward_demodulation,[],[f69471,f59428]) ).

fof(f69471,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),xn) = sdtasdt0(xn,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1186 ),
    inference(avatar_component_clause,[],[f69470]) ).

fof(f73277,plain,
    ( spl21_1220
    | ~ spl21_1046
    | ~ spl21_1187
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f70322,f69691,f69475,f59427,f73275]) ).

fof(f70322,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK11 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1046
    | ~ spl21_1187
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70321,f69693]) ).

fof(f71924,plain,
    ( spl21_1219
    | spl21_947
    | ~ spl21_1
    | ~ spl21_19
    | ~ spl21_41
    | ~ spl21_210
    | ~ spl21_551
    | ~ spl21_627
    | ~ spl21_1197
    | ~ spl21_1205 ),
    inference(avatar_split_clause,[],[f70335,f69891,f69691,f14350,f10036,f2059,f556,f432,f342,f38369,f71921]) ).

fof(f71921,plain,
    ( spl21_1219
  <=> sK6 = sdtpldt0(sK6,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1219])]) ).

fof(f432,plain,
    ( spl21_19
  <=> doDivides0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).

fof(f14350,plain,
    ( spl21_627
  <=> ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xm)
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_627])]) ).

fof(f69891,plain,
    ( spl21_1205
  <=> sK9 = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1205])]) ).

fof(f70335,plain,
    ( ~ aNaturalNumber0(xk)
    | xm = xk
    | sK6 = sdtpldt0(sK6,xm)
    | ~ spl21_19
    | ~ spl21_41
    | ~ spl21_210
    | ~ spl21_551
    | ~ spl21_627
    | ~ spl21_1197
    | ~ spl21_1205 ),
    inference(duplicate_literal_removal,[],[f70334]) ).

fof(f70334,plain,
    ( ~ aNaturalNumber0(xk)
    | xm = xk
    | sK6 = sdtpldt0(sK6,xm)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_19
    | ~ spl21_41
    | ~ spl21_210
    | ~ spl21_551
    | ~ spl21_627
    | ~ spl21_1197
    | ~ spl21_1205 ),
    inference(forward_demodulation,[],[f70333,f70277]) ).

fof(f70277,plain,
    ( xk = xr
    | ~ spl21_41
    | ~ spl21_210
    | ~ spl21_1197
    | ~ spl21_1205 ),
    inference(forward_demodulation,[],[f69735,f69896]) ).

fof(f69896,plain,
    ( xk = sdtpldt0(xr,sK9)
    | ~ spl21_41
    | ~ spl21_1205 ),
    inference(superposition,[],[f558,f69893]) ).

fof(f69893,plain,
    ( sK9 = sK12
    | ~ spl21_1205 ),
    inference(avatar_component_clause,[],[f69891]) ).

fof(f69735,plain,
    ( xr = sdtpldt0(xr,sK9)
    | ~ spl21_210
    | ~ spl21_1197 ),
    inference(superposition,[],[f2061,f69693]) ).

fof(f70333,plain,
    ( xm = xk
    | sK6 = sdtpldt0(sK6,xm)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_41
    | ~ spl21_210
    | ~ spl21_551
    | ~ spl21_627
    | ~ spl21_1197
    | ~ spl21_1205 ),
    inference(forward_demodulation,[],[f14379,f70277]) ).

fof(f14379,plain,
    ( sK6 = sdtpldt0(sK6,xm)
    | xm = xr
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_551
    | ~ spl21_627 ),
    inference(forward_demodulation,[],[f14362,f10038]) ).

fof(f14362,plain,
    ( xm = xr
    | sdtsldt0(xk,xr) = sdtpldt0(sdtsldt0(xk,xr),xm)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_627 ),
    inference(resolution,[],[f14351,f434]) ).

fof(f434,plain,
    ( doDivides0(xr,xk)
    | ~ spl21_19 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f14351,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | xm = X0
        | sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xm)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_627 ),
    inference(avatar_component_clause,[],[f14350]) ).

fof(f71854,plain,
    ( ~ spl21_3
    | spl21_1218
    | ~ spl21_10
    | ~ spl21_116
    | ~ spl21_160
    | ~ spl21_1197 ),
    inference(avatar_split_clause,[],[f70332,f69691,f1793,f1134,f387,f71851,f352]) ).

fof(f71851,plain,
    ( spl21_1218
  <=> doDivides0(sK6,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1218])]) ).

fof(f1134,plain,
    ( spl21_116
  <=> ! [X2,X0] :
        ( doDivides0(X0,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_116])]) ).

fof(f1793,plain,
    ( spl21_160
  <=> sz00 = sdtasdt0(sK6,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_160])]) ).

fof(f70332,plain,
    ( ~ aNaturalNumber0(sK9)
    | doDivides0(sK6,sK9)
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_116
    | ~ spl21_160
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f70331,f69693]) ).

fof(f70331,plain,
    ( doDivides0(sK6,sK9)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_116
    | ~ spl21_160
    | ~ spl21_1197 ),
    inference(forward_demodulation,[],[f2332,f69693]) ).

fof(f2332,plain,
    ( doDivides0(sK6,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_116
    | ~ spl21_160 ),
    inference(duplicate_literal_removal,[],[f2316]) ).

fof(f2316,plain,
    ( doDivides0(sK6,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_116
    | ~ spl21_160 ),
    inference(superposition,[],[f1135,f1795]) ).

fof(f1795,plain,
    ( sz00 = sdtasdt0(sK6,sz00)
    | ~ spl21_160 ),
    inference(avatar_component_clause,[],[f1793]) ).

fof(f1135,plain,
    ( ! [X2,X0] :
        ( doDivides0(X0,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_116 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f70234,plain,
    ( spl21_1217
    | ~ spl21_23
    | ~ spl21_1181 ),
    inference(avatar_split_clause,[],[f69155,f68463,f452,f70231]) ).

fof(f70231,plain,
    ( spl21_1217
  <=> sdtlseqdt0(sK6,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1217])]) ).

fof(f68463,plain,
    ( spl21_1181
  <=> xn = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1181])]) ).

fof(f69155,plain,
    ( sdtlseqdt0(sK6,xp)
    | ~ spl21_23
    | ~ spl21_1181 ),
    inference(superposition,[],[f454,f68465]) ).

fof(f68465,plain,
    ( xn = sK6
    | ~ spl21_1181 ),
    inference(avatar_component_clause,[],[f68463]) ).

fof(f70229,plain,
    ( spl21_1216
    | ~ spl21_1197
    | ~ spl21_1212 ),
    inference(avatar_split_clause,[],[f70213,f70210,f69691,f70227]) ).

fof(f70227,plain,
    ( spl21_1216
  <=> ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1216])]) ).

fof(f70210,plain,
    ( spl21_1212
  <=> ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1212])]) ).

fof(f70213,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1197
    | ~ spl21_1212 ),
    inference(forward_demodulation,[],[f70211,f69693]) ).

fof(f70211,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | sK6 = X0
        | sz00 = X0 )
    | ~ spl21_1212 ),
    inference(avatar_component_clause,[],[f70210]) ).

fof(f70225,plain,
    ( spl21_1215
    | ~ spl21_1197
    | ~ spl21_1211 ),
    inference(avatar_split_clause,[],[f70208,f70205,f69691,f70223]) ).

fof(f70223,plain,
    ( spl21_1215
  <=> ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1215])]) ).

fof(f70205,plain,
    ( spl21_1211
  <=> ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1211])]) ).

fof(f70208,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1197
    | ~ spl21_1211 ),
    inference(forward_demodulation,[],[f70206,f69693]) ).

fof(f70206,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sK6 = X0
        | sz00 = X0 )
    | ~ spl21_1211 ),
    inference(avatar_component_clause,[],[f70205]) ).

fof(f70221,plain,
    ( spl21_1214
    | ~ spl21_1197
    | ~ spl21_1210 ),
    inference(avatar_split_clause,[],[f70203,f70200,f69691,f70219]) ).

fof(f70219,plain,
    ( spl21_1214
  <=> ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1214])]) ).

fof(f70200,plain,
    ( spl21_1210
  <=> ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1210])]) ).

fof(f70203,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sK6 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0) )
    | ~ spl21_1197
    | ~ spl21_1210 ),
    inference(forward_demodulation,[],[f70201,f69693]) ).

fof(f70201,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sK6 = X0
        | sz00 = X0 )
    | ~ spl21_1210 ),
    inference(avatar_component_clause,[],[f70200]) ).

fof(f70217,plain,
    ( spl21_1213
    | ~ spl21_1197
    | ~ spl21_1209 ),
    inference(avatar_split_clause,[],[f70198,f70194,f69691,f70215]) ).

fof(f70215,plain,
    ( spl21_1213
  <=> ! [X0] :
        ( sK9 = X0
        | sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sK6 = X0
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1213])]) ).

fof(f70194,plain,
    ( spl21_1209
  <=> ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1209])]) ).

fof(f70198,plain,
    ( ! [X0] :
        ( sK9 = X0
        | sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sK6 = X0
        | sP4(X0) )
    | ~ spl21_1197
    | ~ spl21_1209 ),
    inference(forward_demodulation,[],[f70197,f69693]) ).

fof(f70197,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sK9) = sdtasdt0(sK9,sK17(X0))
        | sK6 = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1197
    | ~ spl21_1209 ),
    inference(forward_demodulation,[],[f70195,f69693]) ).

fof(f70195,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sK6 = X0
        | sz00 = X0 )
    | ~ spl21_1209 ),
    inference(avatar_component_clause,[],[f70194]) ).

fof(f70212,plain,
    ( spl21_1212
    | ~ spl21_1181
    | ~ spl21_1186 ),
    inference(avatar_split_clause,[],[f69483,f69470,f68463,f70210]) ).

fof(f69483,plain,
    ( ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1181
    | ~ spl21_1186 ),
    inference(forward_demodulation,[],[f69473,f68465]) ).

fof(f69473,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sK6) = sdtasdt0(sK6,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1181
    | ~ spl21_1186 ),
    inference(forward_demodulation,[],[f69471,f68465]) ).

fof(f70207,plain,
    ( spl21_1211
    | ~ spl21_1181
    | ~ spl21_1187 ),
    inference(avatar_split_clause,[],[f69478,f69475,f68463,f70205]) ).

fof(f69478,plain,
    ( ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1181
    | ~ spl21_1187 ),
    inference(forward_demodulation,[],[f69476,f68465]) ).

fof(f70202,plain,
    ( spl21_1210
    | ~ spl21_1181
    | ~ spl21_1185 ),
    inference(avatar_split_clause,[],[f69468,f69465,f68463,f70200]) ).

fof(f69468,plain,
    ( ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1181
    | ~ spl21_1185 ),
    inference(forward_demodulation,[],[f69466,f68465]) ).

fof(f70196,plain,
    ( spl21_1209
    | ~ spl21_1181
    | ~ spl21_1184 ),
    inference(avatar_split_clause,[],[f69463,f69460,f68463,f70194]) ).

fof(f69463,plain,
    ( ! [X0] :
        ( sK6 = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_1181
    | ~ spl21_1184 ),
    inference(forward_demodulation,[],[f69461,f68465]) ).

fof(f70191,plain,
    ( spl21_20
    | spl21_1208
    | spl21_1183
    | ~ spl21_2
    | ~ spl21_1039
    | ~ spl21_1181 ),
    inference(avatar_split_clause,[],[f69125,f68463,f59277,f347,f69455,f70189,f437]) ).

fof(f437,plain,
    ( spl21_20
  <=> sz00 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).

fof(f70189,plain,
    ( spl21_1208
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(xr)) = sdtasdt0(sK18(xr),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1208])]) ).

fof(f69455,plain,
    ( spl21_1183
  <=> xr = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1183])]) ).

fof(f69125,plain,
    ( ! [X0] :
        ( xr = sK6
        | sdtasdt0(X0,sK18(xr)) = sdtasdt0(sK18(xr),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xr )
    | ~ spl21_2
    | ~ spl21_1039
    | ~ spl21_1181 ),
    inference(forward_demodulation,[],[f59370,f68465]) ).

fof(f59370,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(xr)) = sdtasdt0(sK18(xr),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xr
        | xn = xr )
    | ~ spl21_2
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f349]) ).

fof(f349,plain,
    ( aNaturalNumber0(xr)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f69928,plain,
    ( spl21_26
    | spl21_1206
    | spl21_1207
    | ~ spl21_1
    | ~ spl21_1039
    | ~ spl21_1181 ),
    inference(avatar_split_clause,[],[f68696,f68463,f59277,f342,f69925,f69922,f467]) ).

fof(f467,plain,
    ( spl21_26
  <=> sz00 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).

fof(f69922,plain,
    ( spl21_1206
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(xk)) = sdtasdt0(sK18(xk),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1206])]) ).

fof(f69925,plain,
    ( spl21_1207
  <=> xk = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1207])]) ).

fof(f68696,plain,
    ( ! [X0] :
        ( xk = sK6
        | sdtasdt0(X0,sK18(xk)) = sdtasdt0(sK18(xk),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xk )
    | ~ spl21_1
    | ~ spl21_1039
    | ~ spl21_1181 ),
    inference(forward_demodulation,[],[f59369,f68465]) ).

fof(f59369,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(xk)) = sdtasdt0(sK18(xk),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xk
        | xn = xk )
    | ~ spl21_1
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f344]) ).

fof(f69894,plain,
    ( spl21_1205
    | ~ spl21_1197
    | ~ spl21_1203 ),
    inference(avatar_split_clause,[],[f69889,f69882,f69691,f69891]) ).

fof(f69882,plain,
    ( spl21_1203
  <=> sz00 = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1203])]) ).

fof(f69889,plain,
    ( sK9 = sK12
    | ~ spl21_1197
    | ~ spl21_1203 ),
    inference(forward_demodulation,[],[f69884,f69693]) ).

fof(f69884,plain,
    ( sz00 = sK12
    | ~ spl21_1203 ),
    inference(avatar_component_clause,[],[f69882]) ).

fof(f69888,plain,
    ( spl21_1040
    | spl21_1203
    | spl21_1204
    | ~ spl21_13
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59377,f59277,f402,f69886,f69882,f59318]) ).

fof(f69886,plain,
    ( spl21_1204
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK12)) = sdtasdt0(sK18(sK12),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1204])]) ).

fof(f59377,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK12)) = sdtasdt0(sK18(sK12),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK12
        | xn = sK12 )
    | ~ spl21_13
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f404]) ).

fof(f69878,plain,
    ( spl21_1202
    | ~ spl21_1197
    | ~ spl21_1200 ),
    inference(avatar_split_clause,[],[f69873,f69866,f69691,f69875]) ).

fof(f69866,plain,
    ( spl21_1200
  <=> sz00 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1200])]) ).

fof(f69873,plain,
    ( sK9 = sK11
    | ~ spl21_1197
    | ~ spl21_1200 ),
    inference(forward_demodulation,[],[f69868,f69693]) ).

fof(f69868,plain,
    ( sz00 = sK11
    | ~ spl21_1200 ),
    inference(avatar_component_clause,[],[f69866]) ).

fof(f69872,plain,
    ( spl21_1046
    | spl21_1200
    | spl21_1201
    | ~ spl21_14
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59376,f59277,f407,f69870,f69866,f59427]) ).

fof(f59376,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK11)) = sdtasdt0(sK18(sK11),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK11
        | xn = sK11 )
    | ~ spl21_14
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f409]) ).

fof(f69816,plain,
    ( spl21_606
    | spl21_331
    | spl21_1199
    | ~ spl21_12
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59375,f59277,f397,f69814,f5793,f13799]) ).

fof(f5793,plain,
    ( spl21_331
  <=> sz00 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_331])]) ).

fof(f69814,plain,
    ( spl21_1199
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK10)) = sdtasdt0(sK18(sK10),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1199])]) ).

fof(f59375,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK10)) = sdtasdt0(sK18(sK10),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK10
        | xn = sK10 )
    | ~ spl21_12
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f399]) ).

fof(f69697,plain,
    ( spl21_1051
    | spl21_1197
    | spl21_1198
    | ~ spl21_10
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59374,f59277,f387,f69695,f69691,f59600]) ).

fof(f59600,plain,
    ( spl21_1051
  <=> xn = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1051])]) ).

fof(f69695,plain,
    ( spl21_1198
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK9)) = sdtasdt0(sK18(sK9),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1198])]) ).

fof(f59374,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK9)) = sdtasdt0(sK18(sK9),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK9
        | xn = sK9 )
    | ~ spl21_10
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f389]) ).

fof(f69688,plain,
    ( spl21_1058
    | spl21_1195
    | spl21_1196
    | ~ spl21_8
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59373,f59277,f377,f69686,f69682,f59771]) ).

fof(f69686,plain,
    ( spl21_1196
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK8)) = sdtasdt0(sK18(sK8),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1196])]) ).

fof(f59373,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK8)) = sdtasdt0(sK18(sK8),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK8
        | xn = sK8 )
    | ~ spl21_8
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f379]) ).

fof(f69637,plain,
    ( spl21_1068
    | spl21_1193
    | spl21_1194
    | ~ spl21_9
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59372,f59277,f382,f69635,f69631,f60594]) ).

fof(f69631,plain,
    ( spl21_1193
  <=> sz00 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1193])]) ).

fof(f69635,plain,
    ( spl21_1194
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sK7)) = sdtasdt0(sK18(sK7),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1194])]) ).

fof(f59372,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sK7)) = sdtasdt0(sK18(sK7),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK7
        | xn = sK7 )
    | ~ spl21_9
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f384]) ).

fof(f69586,plain,
    ( spl21_22
    | spl21_30
    | spl21_1192
    | ~ spl21_7
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59368,f59277,f372,f69584,f487,f447]) ).

fof(f447,plain,
    ( spl21_22
  <=> xn = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).

fof(f69584,plain,
    ( spl21_1192
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(xp)) = sdtasdt0(sK18(xp),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1192])]) ).

fof(f59368,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(xp)) = sdtasdt0(sK18(xp),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xp
        | xn = xp )
    | ~ spl21_7
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f374]) ).

fof(f69539,plain,
    ( spl21_634
    | spl21_325
    | spl21_1191
    | ~ spl21_6
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59367,f59277,f367,f69537,f5673,f15027]) ).

fof(f5673,plain,
    ( spl21_325
  <=> sz00 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_325])]) ).

fof(f69537,plain,
    ( spl21_1191
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(xm)) = sdtasdt0(sK18(xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1191])]) ).

fof(f59367,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(xm)) = sdtasdt0(sK18(xm),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm
        | xn = xm )
    | ~ spl21_6
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f369]) ).

fof(f369,plain,
    ( aNaturalNumber0(xm)
    | ~ spl21_6 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f69535,plain,
    ( ~ spl21_1190
    | spl21_597
    | ~ spl21_1181 ),
    inference(avatar_split_clause,[],[f69222,f68463,f13118,f69532]) ).

fof(f69532,plain,
    ( spl21_1190
  <=> sP1(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1190])]) ).

fof(f69222,plain,
    ( ~ sP1(sK6)
    | spl21_597
    | ~ spl21_1181 ),
    inference(superposition,[],[f13119,f68465]) ).

fof(f69487,plain,
    ( spl21_596
    | spl21_34
    | spl21_1189
    | ~ spl21_16
    | ~ spl21_1039 ),
    inference(avatar_split_clause,[],[f59358,f59277,f417,f69485,f507,f13114]) ).

fof(f13114,plain,
    ( spl21_596
  <=> sz10 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_596])]) ).

fof(f507,plain,
    ( spl21_34
  <=> sz00 = sz10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).

fof(f69485,plain,
    ( spl21_1189
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sz10)) = sdtasdt0(sK18(sz10),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1189])]) ).

fof(f59358,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(sz10)) = sdtasdt0(sK18(sz10),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | sz10 = xn )
    | ~ spl21_16
    | ~ spl21_1039 ),
    inference(resolution,[],[f59278,f419]) ).

fof(f69482,plain,
    ( spl21_1188
    | ~ spl21_7
    | ~ spl21_1038 ),
    inference(avatar_split_clause,[],[f59333,f59273,f372,f69480]) ).

fof(f69480,plain,
    ( spl21_1188
  <=> ! [X0] :
        ( sdtasdt0(xp,sK17(X0)) = sdtasdt0(sK17(X0),xp)
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1188])]) ).

fof(f59273,plain,
    ( spl21_1038
  <=> ! [X0,X1] :
        ( xn = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1038])]) ).

fof(f59333,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,sK17(X0)) = sdtasdt0(sK17(X0),xp)
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_7
    | ~ spl21_1038 ),
    inference(resolution,[],[f59274,f374]) ).

fof(f59274,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | xn = X1
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_1038 ),
    inference(avatar_component_clause,[],[f59273]) ).

fof(f69477,plain,
    ( spl21_1187
    | ~ spl21_6
    | ~ spl21_1038 ),
    inference(avatar_split_clause,[],[f59332,f59273,f367,f69475]) ).

fof(f59332,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),xm) = sdtasdt0(xm,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_6
    | ~ spl21_1038 ),
    inference(resolution,[],[f59274,f369]) ).

fof(f69472,plain,
    ( spl21_1186
    | ~ spl21_5
    | ~ spl21_1038 ),
    inference(avatar_split_clause,[],[f59331,f59273,f362,f69470]) ).

fof(f59331,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),xn) = sdtasdt0(xn,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_5
    | ~ spl21_1038 ),
    inference(resolution,[],[f59274,f364]) ).

fof(f364,plain,
    ( aNaturalNumber0(xn)
    | ~ spl21_5 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f69467,plain,
    ( spl21_1185
    | ~ spl21_16
    | ~ spl21_1038 ),
    inference(avatar_split_clause,[],[f59323,f59273,f417,f69465]) ).

fof(f59323,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sz10) = sdtasdt0(sz10,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_16
    | ~ spl21_1038 ),
    inference(resolution,[],[f59274,f419]) ).

fof(f69462,plain,
    ( spl21_1184
    | ~ spl21_15
    | ~ spl21_1038 ),
    inference(avatar_split_clause,[],[f59322,f59273,f412,f69460]) ).

fof(f59322,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_15
    | ~ spl21_1038 ),
    inference(resolution,[],[f59274,f414]) ).

fof(f69458,plain,
    ( ~ spl21_1183
    | spl21_621
    | ~ spl21_1181 ),
    inference(avatar_split_clause,[],[f69153,f68463,f14253,f69455]) ).

fof(f69153,plain,
    ( xr != sK6
    | spl21_621
    | ~ spl21_1181 ),
    inference(forward_demodulation,[],[f14255,f68465]) ).

fof(f68470,plain,
    ( ~ spl21_575
    | spl21_608
    | ~ spl21_621 ),
    inference(avatar_split_clause,[],[f68284,f14253,f14017,f12319]) ).

fof(f12319,plain,
    ( spl21_575
  <=> sP4(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_575])]) ).

fof(f14017,plain,
    ( spl21_608
  <=> sP4(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_608])]) ).

fof(f68284,plain,
    ( ~ sP4(xr)
    | spl21_608
    | ~ spl21_621 ),
    inference(superposition,[],[f14019,f14254]) ).

fof(f14254,plain,
    ( xn = xr
    | ~ spl21_621 ),
    inference(avatar_component_clause,[],[f14253]) ).

fof(f14019,plain,
    ( ~ sP4(xn)
    | spl21_608 ),
    inference(avatar_component_clause,[],[f14017]) ).

fof(f68469,plain,
    ( spl21_1181
    | spl21_507
    | spl21_1182
    | ~ spl21_3
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59294,f59269,f352,f68467,f9312,f68463]) ).

fof(f9312,plain,
    ( spl21_507
  <=> sz00 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_507])]) ).

fof(f68467,plain,
    ( spl21_1182
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(sK6)) = sdtpldt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1182])]) ).

fof(f59269,plain,
    ( spl21_1037
  <=> ! [X0,X1] :
        ( xn = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1037])]) ).

fof(f59294,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(sK6)) = sdtpldt0(sK18(sK6),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK6
        | xn = sK6 )
    | ~ spl21_3
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f354]) ).

fof(f59270,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | xn = X1 )
    | ~ spl21_1037 ),
    inference(avatar_component_clause,[],[f59269]) ).

fof(f67911,plain,
    ( spl21_293
    | ~ spl21_621
    | ~ spl21_629 ),
    inference(avatar_split_clause,[],[f67910,f14393,f14253,f5231]) ).

fof(f5231,plain,
    ( spl21_293
  <=> xk = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_293])]) ).

fof(f67910,plain,
    ( xk = xr
    | ~ spl21_621
    | ~ spl21_629 ),
    inference(forward_demodulation,[],[f14254,f14394]) ).

fof(f14394,plain,
    ( xn = xk
    | ~ spl21_629 ),
    inference(avatar_component_clause,[],[f14393]) ).

fof(f67906,plain,
    ( spl21_621
    | spl21_20
    | spl21_1180
    | ~ spl21_2
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59293,f59269,f347,f67904,f437,f14253]) ).

fof(f67904,plain,
    ( spl21_1180
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(xr)) = sdtpldt0(sK18(xr),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1180])]) ).

fof(f59293,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(xr)) = sdtpldt0(sK18(xr),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xr
        | xn = xr )
    | ~ spl21_2
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f349]) ).

fof(f67633,plain,
    ( spl21_629
    | spl21_26
    | spl21_1179
    | ~ spl21_1
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59292,f59269,f342,f67631,f467,f14393]) ).

fof(f67631,plain,
    ( spl21_1179
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(xk)) = sdtpldt0(sK18(xk),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1179])]) ).

fof(f59292,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(xk)) = sdtpldt0(sK18(xk),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xk
        | xn = xk )
    | ~ spl21_1
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f344]) ).

fof(f67596,plain,
    ( spl21_22
    | spl21_30
    | spl21_1178
    | ~ spl21_7
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59291,f59269,f372,f67594,f487,f447]) ).

fof(f67594,plain,
    ( spl21_1178
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(xp)) = sdtpldt0(sK18(xp),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1178])]) ).

fof(f59291,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(xp)) = sdtpldt0(sK18(xp),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xp
        | xn = xp )
    | ~ spl21_7
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f374]) ).

fof(f67592,plain,
    ( ~ spl21_2
    | ~ spl21_5
    | spl21_1177
    | ~ spl21_116
    | ~ spl21_706 ),
    inference(avatar_split_clause,[],[f30234,f17963,f1134,f67589,f362,f347]) ).

fof(f67589,plain,
    ( spl21_1177
  <=> doDivides0(xr,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1177])]) ).

fof(f17963,plain,
    ( spl21_706
  <=> xr = sdtasdt0(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_706])]) ).

fof(f30234,plain,
    ( doDivides0(xr,xr)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_116
    | ~ spl21_706 ),
    inference(duplicate_literal_removal,[],[f30190]) ).

fof(f30190,plain,
    ( doDivides0(xr,xr)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_116
    | ~ spl21_706 ),
    inference(superposition,[],[f1135,f17965]) ).

fof(f17965,plain,
    ( xr = sdtasdt0(xr,xn)
    | ~ spl21_706 ),
    inference(avatar_component_clause,[],[f17963]) ).

fof(f67554,plain,
    ( spl21_634
    | spl21_325
    | spl21_1176
    | ~ spl21_6
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59290,f59269,f367,f67552,f5673,f15027]) ).

fof(f67552,plain,
    ( spl21_1176
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(xm)) = sdtpldt0(sK18(xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1176])]) ).

fof(f59290,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(xm)) = sdtpldt0(sK18(xm),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm
        | xn = xm )
    | ~ spl21_6
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f369]) ).

fof(f67517,plain,
    ( spl21_596
    | spl21_34
    | spl21_1175
    | ~ spl21_16
    | ~ spl21_1037 ),
    inference(avatar_split_clause,[],[f59281,f59269,f417,f67515,f507,f13114]) ).

fof(f67515,plain,
    ( spl21_1175
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(sz10)) = sdtpldt0(sK18(sz10),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1175])]) ).

fof(f59281,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(sz10)) = sdtpldt0(sK18(sz10),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | sz10 = xn )
    | ~ spl21_16
    | ~ spl21_1037 ),
    inference(resolution,[],[f59270,f419]) ).

fof(f67480,plain,
    ( spl21_596
    | spl21_451
    | spl21_1174
    | ~ spl21_154
    | ~ spl21_616
    | ~ spl21_1030 ),
    inference(avatar_split_clause,[],[f50474,f50439,f14191,f1760,f67478,f7070,f13114]) ).

fof(f7070,plain,
    ( spl21_451
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_451])]) ).

fof(f67478,plain,
    ( spl21_1174
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(xn)) = sdtasdt0(sK18(xn),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1174])]) ).

fof(f50474,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK18(xn)) = sdtasdt0(sK18(xn),X0)
        | sz00 = xn
        | sz10 = xn
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_616
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f50473,f50441]) ).

fof(f50473,plain,
    ( ! [X0] :
        ( sz00 = xn
        | sz10 = xn
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK18(sdtpldt0(xn,xm))) = sdtasdt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_154
    | ~ spl21_616
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f50472,f50441]) ).

fof(f50472,plain,
    ( ! [X0] :
        ( sz10 = xn
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(xn,xm)
        | sdtasdt0(X0,sK18(sdtpldt0(xn,xm))) = sdtasdt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_154
    | ~ spl21_616
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f50446,f50441]) ).

fof(f50446,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz10 = sdtpldt0(xn,xm)
        | sz00 = sdtpldt0(xn,xm)
        | sdtasdt0(X0,sK18(sdtpldt0(xn,xm))) = sdtasdt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_154
    | ~ spl21_616 ),
    inference(resolution,[],[f14192,f1761]) ).

fof(f67443,plain,
    ( spl21_596
    | spl21_451
    | spl21_1173
    | ~ spl21_15
    | ~ spl21_154
    | ~ spl21_206
    | ~ spl21_612
    | ~ spl21_978 ),
    inference(avatar_split_clause,[],[f50399,f39170,f14086,f2039,f1760,f412,f67441,f7070,f13114]) ).

fof(f67441,plain,
    ( spl21_1173
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(xn)) = sdtpldt0(sK18(xn),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1173])]) ).

fof(f2039,plain,
    ( spl21_206
  <=> xn = sdtpldt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_206])]) ).

fof(f39170,plain,
    ( spl21_978
  <=> ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_978])]) ).

fof(f50399,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK18(xn)) = sdtpldt0(sK18(xn),X0)
        | sz00 = xn
        | sz10 = xn
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_154
    | ~ spl21_206
    | ~ spl21_612
    | ~ spl21_978 ),
    inference(forward_demodulation,[],[f50398,f39202]) ).

fof(f39202,plain,
    ( xn = sdtpldt0(xn,xm)
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978 ),
    inference(forward_demodulation,[],[f39173,f2041]) ).

fof(f2041,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl21_206 ),
    inference(avatar_component_clause,[],[f2039]) ).

fof(f39173,plain,
    ( sdtpldt0(xn,sz00) = sdtpldt0(sdtpldt0(xn,sz00),xm)
    | ~ spl21_15
    | ~ spl21_978 ),
    inference(resolution,[],[f39171,f414]) ).

fof(f39171,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),xm) )
    | ~ spl21_978 ),
    inference(avatar_component_clause,[],[f39170]) ).

fof(f50398,plain,
    ( ! [X0] :
        ( sz00 = xn
        | sz10 = xn
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK18(sdtpldt0(xn,xm))) = sdtpldt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_15
    | ~ spl21_154
    | ~ spl21_206
    | ~ spl21_612
    | ~ spl21_978 ),
    inference(forward_demodulation,[],[f50397,f39202]) ).

fof(f50397,plain,
    ( ! [X0] :
        ( sz10 = xn
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(xn,xm)
        | sdtpldt0(X0,sK18(sdtpldt0(xn,xm))) = sdtpldt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_15
    | ~ spl21_154
    | ~ spl21_206
    | ~ spl21_612
    | ~ spl21_978 ),
    inference(forward_demodulation,[],[f50371,f39202]) ).

fof(f50371,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz10 = sdtpldt0(xn,xm)
        | sz00 = sdtpldt0(xn,xm)
        | sdtpldt0(X0,sK18(sdtpldt0(xn,xm))) = sdtpldt0(sK18(sdtpldt0(xn,xm)),X0) )
    | ~ spl21_154
    | ~ spl21_612 ),
    inference(resolution,[],[f14087,f1761]) ).

fof(f67435,plain,
    ( spl21_1172
    | ~ spl21_1030
    | ~ spl21_1171 ),
    inference(avatar_split_clause,[],[f67430,f67426,f50439,f67432]) ).

fof(f67432,plain,
    ( spl21_1172
  <=> sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,xn)),xr) = sdtasdt0(sK6,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1172])]) ).

fof(f67426,plain,
    ( spl21_1171
  <=> sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1171])]) ).

fof(f67430,plain,
    ( sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,xn)),xr) = sdtasdt0(sK6,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1171 ),
    inference(forward_demodulation,[],[f67428,f50441]) ).

fof(f67428,plain,
    ( sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))),xr)
    | ~ spl21_1171 ),
    inference(avatar_component_clause,[],[f67426]) ).

fof(f67429,plain,
    ( spl21_1171
    | ~ spl21_268
    | ~ spl21_270
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(avatar_split_clause,[],[f49091,f15269,f12647,f4179,f4171,f67426]) ).

fof(f15269,plain,
    ( spl21_641
  <=> ! [X0] :
        ( sdtasdt0(X0,sK6) = sdtsldt0(sdtasdt0(X0,xk),xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_641])]) ).

fof(f49091,plain,
    ( sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))),xr)
    | ~ spl21_268
    | ~ spl21_270
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15310,f12773]) ).

fof(f12773,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_270
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4180]) ).

fof(f15310,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))),xr)
    | ~ spl21_268
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15276,f12771]) ).

fof(f15276,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtsldt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk),xr)
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(resolution,[],[f15270,f12649]) ).

fof(f15270,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK6) = sdtsldt0(sdtasdt0(X0,xk),xr) )
    | ~ spl21_641 ),
    inference(avatar_component_clause,[],[f15269]) ).

fof(f67424,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_946
    | spl21_714
    | ~ spl21_19
    | ~ spl21_551
    | ~ spl21_623 ),
    inference(avatar_split_clause,[],[f14293,f14264,f10036,f432,f18257,f38364,f342,f347]) ).

fof(f38364,plain,
    ( spl21_946
  <=> xm = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_946])]) ).

fof(f18257,plain,
    ( spl21_714
  <=> sK6 = sdtasdt0(sK6,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_714])]) ).

fof(f14264,plain,
    ( spl21_623
  <=> ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),xn)
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_623])]) ).

fof(f14293,plain,
    ( sK6 = sdtasdt0(sK6,xn)
    | xm = xr
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_551
    | ~ spl21_623 ),
    inference(forward_demodulation,[],[f14276,f10038]) ).

fof(f14276,plain,
    ( xm = xr
    | sdtsldt0(xk,xr) = sdtasdt0(sdtsldt0(xk,xr),xn)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_623 ),
    inference(resolution,[],[f14265,f434]) ).

fof(f14265,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | xm = X0
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_623 ),
    inference(avatar_component_clause,[],[f14264]) ).

fof(f67420,plain,
    ( spl21_1170
    | ~ spl21_1030
    | ~ spl21_1071 ),
    inference(avatar_split_clause,[],[f62548,f62544,f50439,f67417]) ).

fof(f67417,plain,
    ( spl21_1170
  <=> sdtasdt0(sK6,xn) = sdtsldt0(sdtasdt0(xk,xn),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1170])]) ).

fof(f62544,plain,
    ( spl21_1071
  <=> sdtasdt0(sK6,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xn,xm)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1071])]) ).

fof(f62548,plain,
    ( sdtasdt0(sK6,xn) = sdtsldt0(sdtasdt0(xk,xn),xr)
    | ~ spl21_1030
    | ~ spl21_1071 ),
    inference(forward_demodulation,[],[f62546,f50441]) ).

fof(f62546,plain,
    ( sdtasdt0(sK6,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xn,xm)),xr)
    | ~ spl21_1071 ),
    inference(avatar_component_clause,[],[f62544]) ).

fof(f67299,plain,
    ( spl21_1169
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_641
    | ~ spl21_714 ),
    inference(avatar_split_clause,[],[f67183,f18257,f15269,f4159,f362,f352,f342,f67296]) ).

fof(f67296,plain,
    ( spl21_1169
  <=> sK6 = sdtsldt0(sdtasdt0(xk,xn),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1169])]) ).

fof(f67183,plain,
    ( sK6 = sdtsldt0(sdtasdt0(xk,xn),xr)
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_641
    | ~ spl21_714 ),
    inference(forward_demodulation,[],[f67182,f18259]) ).

fof(f18259,plain,
    ( sK6 = sdtasdt0(sK6,xn)
    | ~ spl21_714 ),
    inference(avatar_component_clause,[],[f18257]) ).

fof(f67182,plain,
    ( sdtasdt0(sK6,xn) = sdtsldt0(sdtasdt0(xk,xn),xr)
    | ~ spl21_1
    | ~ spl21_3
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15316,f4596]) ).

fof(f4596,plain,
    ( sdtasdt0(sK6,xn) = sdtasdt0(xn,sK6)
    | ~ spl21_3
    | ~ spl21_265 ),
    inference(resolution,[],[f4160,f354]) ).

fof(f15316,plain,
    ( sdtasdt0(xn,sK6) = sdtsldt0(sdtasdt0(xk,xn),xr)
    | ~ spl21_1
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15281,f4594]) ).

fof(f4594,plain,
    ( sdtasdt0(xk,xn) = sdtasdt0(xn,xk)
    | ~ spl21_1
    | ~ spl21_265 ),
    inference(resolution,[],[f4160,f344]) ).

fof(f15281,plain,
    ( sdtasdt0(xn,sK6) = sdtsldt0(sdtasdt0(xn,xk),xr)
    | ~ spl21_5
    | ~ spl21_641 ),
    inference(resolution,[],[f15270,f364]) ).

fof(f67181,plain,
    ( spl21_702
    | ~ spl21_926
    | ~ spl21_1030
    | ~ spl21_1117 ),
    inference(avatar_split_clause,[],[f66564,f66559,f50439,f35306,f17684]) ).

fof(f17684,plain,
    ( spl21_702
  <=> xk = sdtasdt0(xk,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_702])]) ).

fof(f35306,plain,
    ( spl21_926
  <=> xk = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_926])]) ).

fof(f66559,plain,
    ( spl21_1117
  <=> sdtasdt0(xk,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1117])]) ).

fof(f66564,plain,
    ( xk = sdtasdt0(xk,xn)
    | ~ spl21_926
    | ~ spl21_1030
    | ~ spl21_1117 ),
    inference(forward_demodulation,[],[f66563,f35308]) ).

fof(f35308,plain,
    ( xk = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_926 ),
    inference(avatar_component_clause,[],[f35306]) ).

fof(f66563,plain,
    ( sdtasdt0(xk,xn) = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1030
    | ~ spl21_1117 ),
    inference(forward_demodulation,[],[f66561,f50441]) ).

fof(f66561,plain,
    ( sdtasdt0(xk,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1117 ),
    inference(avatar_component_clause,[],[f66559]) ).

fof(f67011,plain,
    ( ~ spl21_1
    | ~ spl21_5
    | spl21_1168
    | ~ spl21_116
    | ~ spl21_702 ),
    inference(avatar_split_clause,[],[f28757,f17684,f1134,f67008,f362,f342]) ).

fof(f67008,plain,
    ( spl21_1168
  <=> doDivides0(xk,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1168])]) ).

fof(f28757,plain,
    ( doDivides0(xk,xk)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_116
    | ~ spl21_702 ),
    inference(duplicate_literal_removal,[],[f28715]) ).

fof(f28715,plain,
    ( doDivides0(xk,xk)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_116
    | ~ spl21_702 ),
    inference(superposition,[],[f1135,f17686]) ).

fof(f17686,plain,
    ( xk = sdtasdt0(xk,xn)
    | ~ spl21_702 ),
    inference(avatar_component_clause,[],[f17684]) ).

fof(f67006,plain,
    ( spl21_1167
    | ~ spl21_15
    | ~ spl21_609 ),
    inference(avatar_split_clause,[],[f48871,f14023,f412,f67004]) ).

fof(f67004,plain,
    ( spl21_1167
  <=> ! [X0] :
        ( sdtpldt0(sK17(X0),sz00) = sdtpldt0(sz00,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1167])]) ).

fof(f14023,plain,
    ( spl21_609
  <=> ! [X0,X1] :
        ( xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_609])]) ).

fof(f48871,plain,
    ( ! [X0] :
        ( sdtpldt0(sK17(X0),sz00) = sdtpldt0(sz00,sK17(X0))
        | xn = X0
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_15
    | ~ spl21_609 ),
    inference(resolution,[],[f14024,f414]) ).

fof(f14024,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | xn = X1
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_609 ),
    inference(avatar_component_clause,[],[f14023]) ).

fof(f67001,plain,
    ( spl21_1166
    | ~ spl21_154
    | ~ spl21_746 ),
    inference(avatar_split_clause,[],[f19120,f19114,f1760,f66998]) ).

fof(f66998,plain,
    ( spl21_1166
  <=> sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK6,xp)) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1166])]) ).

fof(f19114,plain,
    ( spl21_746
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK6,xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_746])]) ).

fof(f19120,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK6,xp)) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xr)
    | ~ spl21_154
    | ~ spl21_746 ),
    inference(resolution,[],[f19115,f1761]) ).

fof(f19115,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK6,xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xr) )
    | ~ spl21_746 ),
    inference(avatar_component_clause,[],[f19114]) ).

fof(f66996,plain,
    ( spl21_325
    | spl21_1165
    | spl21_451
    | ~ spl21_15
    | ~ spl21_617 ),
    inference(avatar_split_clause,[],[f14200,f14197,f412,f7070,f66994,f5673]) ).

fof(f66994,plain,
    ( spl21_1165
  <=> ! [X0] :
        ( sdtasdt0(X0,sK18(sz00)) = sdtasdt0(sK18(sz00),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1165])]) ).

fof(f14197,plain,
    ( spl21_617
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_617])]) ).

fof(f14200,plain,
    ( ! [X0] :
        ( sz00 = xn
        | sdtasdt0(X0,sK18(sz00)) = sdtasdt0(sK18(sz00),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm )
    | ~ spl21_15
    | ~ spl21_617 ),
    inference(resolution,[],[f14198,f414]) ).

fof(f14198,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | xn = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | xm = X1 )
    | ~ spl21_617 ),
    inference(avatar_component_clause,[],[f14197]) ).

fof(f66992,plain,
    ( spl21_1164
    | ~ spl21_15
    | ~ spl21_615 ),
    inference(avatar_split_clause,[],[f14151,f14148,f412,f66990]) ).

fof(f66990,plain,
    ( spl21_1164
  <=> ! [X0] :
        ( xn = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | xm = X0
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1164])]) ).

fof(f14148,plain,
    ( spl21_615
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_615])]) ).

fof(f14151,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtasdt0(sK17(X0),sz00) = sdtasdt0(sz00,sK17(X0))
        | xm = X0
        | sP4(X0) )
    | ~ spl21_15
    | ~ spl21_615 ),
    inference(resolution,[],[f14149,f414]) ).

fof(f14149,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | xn = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | xm = X1
        | sP4(X1) )
    | ~ spl21_615 ),
    inference(avatar_component_clause,[],[f14148]) ).

fof(f66988,plain,
    ( spl21_325
    | spl21_1163
    | spl21_451
    | ~ spl21_15
    | ~ spl21_613 ),
    inference(avatar_split_clause,[],[f14101,f14092,f412,f7070,f66986,f5673]) ).

fof(f66986,plain,
    ( spl21_1163
  <=> ! [X0] :
        ( sdtpldt0(X0,sK18(sz00)) = sdtpldt0(sK18(sz00),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1163])]) ).

fof(f14092,plain,
    ( spl21_613
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_613])]) ).

fof(f14101,plain,
    ( ! [X0] :
        ( sz00 = xn
        | sdtpldt0(X0,sK18(sz00)) = sdtpldt0(sK18(sz00),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm )
    | ~ spl21_15
    | ~ spl21_613 ),
    inference(resolution,[],[f14093,f414]) ).

fof(f14093,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | xn = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | xm = X1 )
    | ~ spl21_613 ),
    inference(avatar_component_clause,[],[f14092]) ).

fof(f66984,plain,
    ( spl21_1162
    | ~ spl21_15
    | ~ spl21_610 ),
    inference(avatar_split_clause,[],[f14031,f14028,f412,f66982]) ).

fof(f66982,plain,
    ( spl21_1162
  <=> ! [X0] :
        ( xn = X0
        | sdtpldt0(sK17(X0),sz00) = sdtpldt0(sz00,sK17(X0))
        | xm = X0
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1162])]) ).

fof(f14028,plain,
    ( spl21_610
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_610])]) ).

fof(f14031,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtpldt0(sK17(X0),sz00) = sdtpldt0(sz00,sK17(X0))
        | xm = X0
        | sP4(X0) )
    | ~ spl21_15
    | ~ spl21_610 ),
    inference(resolution,[],[f14029,f414]) ).

fof(f14029,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | xm = X1
        | sP4(X1) )
    | ~ spl21_610 ),
    inference(avatar_component_clause,[],[f14028]) ).

fof(f66979,plain,
    ( spl21_1161
    | ~ spl21_98
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12751,f12647,f956,f66977]) ).

fof(f66977,plain,
    ( spl21_1161
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1161])]) ).

fof(f956,plain,
    ( spl21_98
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_98])]) ).

fof(f12751,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_98
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f957]) ).

fof(f957,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_98 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f66974,plain,
    ( spl21_1160
    | ~ spl21_97
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12750,f12647,f952,f66972]) ).

fof(f66972,plain,
    ( spl21_1160
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1160])]) ).

fof(f952,plain,
    ( spl21_97
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_97])]) ).

fof(f12750,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_97
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f953]) ).

fof(f953,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_97 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f66969,plain,
    ( spl21_1159
    | ~ spl21_154
    | ~ spl21_204
    | ~ spl21_563 ),
    inference(avatar_split_clause,[],[f11496,f11132,f2029,f1760,f66967]) ).

fof(f66967,plain,
    ( spl21_1159
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1159])]) ).

fof(f2029,plain,
    ( spl21_204
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_204])]) ).

fof(f11132,plain,
    ( spl21_563
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_563])]) ).

fof(f11496,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_204
    | ~ spl21_563 ),
    inference(forward_demodulation,[],[f11469,f2031]) ).

fof(f2031,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm))
    | ~ spl21_204 ),
    inference(avatar_component_clause,[],[f2029]) ).

fof(f11469,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(sz00,sdtpldt0(xn,xm))) )
    | ~ spl21_154
    | ~ spl21_563 ),
    inference(resolution,[],[f11133,f1761]) ).

fof(f11133,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1)) )
    | ~ spl21_563 ),
    inference(avatar_component_clause,[],[f11132]) ).

fof(f66964,plain,
    ( spl21_1158
    | ~ spl21_154
    | ~ spl21_234
    | ~ spl21_561 ),
    inference(avatar_split_clause,[],[f11397,f11124,f3322,f1760,f66962]) ).

fof(f66962,plain,
    ( spl21_1158
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1158])]) ).

fof(f3322,plain,
    ( spl21_234
  <=> sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_234])]) ).

fof(f11124,plain,
    ( spl21_561
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_561])]) ).

fof(f11397,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_234
    | ~ spl21_561 ),
    inference(forward_demodulation,[],[f11370,f3324]) ).

fof(f3324,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sz00)
    | ~ spl21_234 ),
    inference(avatar_component_clause,[],[f3322]) ).

fof(f11370,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(xn,xm),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_561 ),
    inference(resolution,[],[f11125,f1761]) ).

fof(f11125,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_561 ),
    inference(avatar_component_clause,[],[f11124]) ).

fof(f66872,plain,
    ( spl21_1157
    | ~ spl21_154
    | ~ spl21_470
    | ~ spl21_472 ),
    inference(avatar_split_clause,[],[f8520,f8487,f8111,f1760,f66870]) ).

fof(f66870,plain,
    ( spl21_1157
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1157])]) ).

fof(f8111,plain,
    ( spl21_470
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_470])]) ).

fof(f8520,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_470
    | ~ spl21_472 ),
    inference(forward_demodulation,[],[f8494,f8489]) ).

fof(f8494,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_470 ),
    inference(resolution,[],[f8112,f1761]) ).

fof(f8112,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_470 ),
    inference(avatar_component_clause,[],[f8111]) ).

fof(f66867,plain,
    ( spl21_1156
    | ~ spl21_154
    | ~ spl21_370
    | ~ spl21_441 ),
    inference(avatar_split_clause,[],[f8013,f7006,f5995,f1760,f66865]) ).

fof(f66865,plain,
    ( spl21_1156
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK12) = sdtpldt0(X0,sdtpldt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1156])]) ).

fof(f7006,plain,
    ( spl21_441
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK12) = sdtpldt0(X0,sdtpldt0(X1,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_441])]) ).

fof(f8013,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK12) = sdtpldt0(X0,sdtpldt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_370
    | ~ spl21_441 ),
    inference(forward_demodulation,[],[f7986,f5997]) ).

fof(f7986,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK12) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_441 ),
    inference(resolution,[],[f7007,f1761]) ).

fof(f7007,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK12) = sdtpldt0(X0,sdtpldt0(X1,sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_441 ),
    inference(avatar_component_clause,[],[f7006]) ).

fof(f66862,plain,
    ( spl21_1155
    | ~ spl21_154
    | ~ spl21_360
    | ~ spl21_440 ),
    inference(avatar_split_clause,[],[f7974,f7002,f5948,f1760,f66860]) ).

fof(f66860,plain,
    ( spl21_1155
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK11) = sdtpldt0(X0,sdtpldt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1155])]) ).

fof(f7002,plain,
    ( spl21_440
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK11) = sdtpldt0(X0,sdtpldt0(X1,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_440])]) ).

fof(f7974,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK11) = sdtpldt0(X0,sdtpldt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_360
    | ~ spl21_440 ),
    inference(forward_demodulation,[],[f7947,f5950]) ).

fof(f7947,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK11) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_440 ),
    inference(resolution,[],[f7003,f1761]) ).

fof(f7003,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK11) = sdtpldt0(X0,sdtpldt0(X1,sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_440 ),
    inference(avatar_component_clause,[],[f7002]) ).

fof(f66857,plain,
    ( spl21_1154
    | ~ spl21_154
    | ~ spl21_349
    | ~ spl21_439 ),
    inference(avatar_split_clause,[],[f7934,f6998,f5893,f1760,f66855]) ).

fof(f66855,plain,
    ( spl21_1154
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK10) = sdtpldt0(X0,sdtpldt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1154])]) ).

fof(f6998,plain,
    ( spl21_439
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK10) = sdtpldt0(X0,sdtpldt0(X1,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_439])]) ).

fof(f7934,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK10) = sdtpldt0(X0,sdtpldt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_349
    | ~ spl21_439 ),
    inference(forward_demodulation,[],[f7907,f5895]) ).

fof(f7907,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_439 ),
    inference(resolution,[],[f6999,f1761]) ).

fof(f6999,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK10) = sdtpldt0(X0,sdtpldt0(X1,sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_439 ),
    inference(avatar_component_clause,[],[f6998]) ).

fof(f66852,plain,
    ( spl21_1153
    | ~ spl21_154
    | ~ spl21_341
    | ~ spl21_438 ),
    inference(avatar_split_clause,[],[f7893,f6994,f5859,f1760,f66850]) ).

fof(f66850,plain,
    ( spl21_1153
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK9) = sdtpldt0(X0,sdtpldt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1153])]) ).

fof(f6994,plain,
    ( spl21_438
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK9) = sdtpldt0(X0,sdtpldt0(X1,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_438])]) ).

fof(f7893,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK9) = sdtpldt0(X0,sdtpldt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_341
    | ~ spl21_438 ),
    inference(forward_demodulation,[],[f7866,f5861]) ).

fof(f7866,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK9) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_438 ),
    inference(resolution,[],[f6995,f1761]) ).

fof(f6995,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK9) = sdtpldt0(X0,sdtpldt0(X1,sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_438 ),
    inference(avatar_component_clause,[],[f6994]) ).

fof(f66846,plain,
    ( spl21_1152
    | ~ spl21_154
    | ~ spl21_324
    | ~ spl21_437 ),
    inference(avatar_split_clause,[],[f7851,f6990,f5658,f1760,f66844]) ).

fof(f66844,plain,
    ( spl21_1152
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK8) = sdtpldt0(X0,sdtpldt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1152])]) ).

fof(f6990,plain,
    ( spl21_437
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK8) = sdtpldt0(X0,sdtpldt0(X1,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_437])]) ).

fof(f7851,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK8) = sdtpldt0(X0,sdtpldt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_324
    | ~ spl21_437 ),
    inference(forward_demodulation,[],[f7824,f5660]) ).

fof(f7824,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK8) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_437 ),
    inference(resolution,[],[f6991,f1761]) ).

fof(f6991,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK8) = sdtpldt0(X0,sdtpldt0(X1,sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_437 ),
    inference(avatar_component_clause,[],[f6990]) ).

fof(f66841,plain,
    ( spl21_1151
    | ~ spl21_154
    | ~ spl21_318
    | ~ spl21_436 ),
    inference(avatar_split_clause,[],[f7808,f6986,f5517,f1760,f66839]) ).

fof(f66839,plain,
    ( spl21_1151
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK7) = sdtpldt0(X0,sdtpldt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1151])]) ).

fof(f6986,plain,
    ( spl21_436
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK7) = sdtpldt0(X0,sdtpldt0(X1,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_436])]) ).

fof(f7808,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK7) = sdtpldt0(X0,sdtpldt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_318
    | ~ spl21_436 ),
    inference(forward_demodulation,[],[f7781,f5519]) ).

fof(f7781,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK7) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_436 ),
    inference(resolution,[],[f6987,f1761]) ).

fof(f6987,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK7) = sdtpldt0(X0,sdtpldt0(X1,sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_436 ),
    inference(avatar_component_clause,[],[f6986]) ).

fof(f66836,plain,
    ( spl21_1150
    | ~ spl21_154
    | ~ spl21_310
    | ~ spl21_435 ),
    inference(avatar_split_clause,[],[f7764,f6982,f5425,f1760,f66834]) ).

fof(f66834,plain,
    ( spl21_1150
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK6) = sdtpldt0(X0,sdtpldt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1150])]) ).

fof(f6982,plain,
    ( spl21_435
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK6) = sdtpldt0(X0,sdtpldt0(X1,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_435])]) ).

fof(f7764,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK6) = sdtpldt0(X0,sdtpldt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_310
    | ~ spl21_435 ),
    inference(forward_demodulation,[],[f7737,f5427]) ).

fof(f7737,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sK6) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_435 ),
    inference(resolution,[],[f6983,f1761]) ).

fof(f6983,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK6) = sdtpldt0(X0,sdtpldt0(X1,sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_435 ),
    inference(avatar_component_clause,[],[f6982]) ).

fof(f66831,plain,
    ( spl21_1149
    | ~ spl21_154
    | ~ spl21_299
    | ~ spl21_434 ),
    inference(avatar_split_clause,[],[f7727,f6978,f5262,f1760,f66829]) ).

fof(f66829,plain,
    ( spl21_1149
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xr) = sdtpldt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1149])]) ).

fof(f6978,plain,
    ( spl21_434
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_434])]) ).

fof(f7727,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xr) = sdtpldt0(X0,sdtpldt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_299
    | ~ spl21_434 ),
    inference(forward_demodulation,[],[f7700,f5264]) ).

fof(f7700,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xr) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_434 ),
    inference(resolution,[],[f6979,f1761]) ).

fof(f6979,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_434 ),
    inference(avatar_component_clause,[],[f6978]) ).

fof(f66826,plain,
    ( spl21_1148
    | ~ spl21_154
    | ~ spl21_291
    | ~ spl21_433 ),
    inference(avatar_split_clause,[],[f7689,f6974,f5005,f1760,f66824]) ).

fof(f66824,plain,
    ( spl21_1148
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xk) = sdtpldt0(X0,sdtpldt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1148])]) ).

fof(f6974,plain,
    ( spl21_433
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xk) = sdtpldt0(X0,sdtpldt0(X1,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_433])]) ).

fof(f7689,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xk) = sdtpldt0(X0,sdtpldt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_291
    | ~ spl21_433 ),
    inference(forward_demodulation,[],[f7662,f5007]) ).

fof(f7662,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xk) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_433 ),
    inference(resolution,[],[f6975,f1761]) ).

fof(f6975,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xk) = sdtpldt0(X0,sdtpldt0(X1,xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_433 ),
    inference(avatar_component_clause,[],[f6974]) ).

fof(f66822,plain,
    ( ~ spl21_7
    | ~ spl21_5
    | spl21_1147
    | ~ spl21_116
    | ~ spl21_680 ),
    inference(avatar_split_clause,[],[f26935,f16830,f1134,f66819,f362,f372]) ).

fof(f16830,plain,
    ( spl21_680
  <=> xp = sdtasdt0(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_680])]) ).

fof(f26935,plain,
    ( doDivides0(xp,xp)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_116
    | ~ spl21_680 ),
    inference(duplicate_literal_removal,[],[f26899]) ).

fof(f26899,plain,
    ( doDivides0(xp,xp)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_116
    | ~ spl21_680 ),
    inference(superposition,[],[f1135,f16832]) ).

fof(f16832,plain,
    ( xp = sdtasdt0(xp,xn)
    | ~ spl21_680 ),
    inference(avatar_component_clause,[],[f16830]) ).

fof(f66815,plain,
    ( spl21_1146
    | ~ spl21_154
    | ~ spl21_281
    | ~ spl21_431 ),
    inference(avatar_split_clause,[],[f7656,f6965,f4964,f1760,f66813]) ).

fof(f66813,plain,
    ( spl21_1146
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xp) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1146])]) ).

fof(f6965,plain,
    ( spl21_431
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_431])]) ).

fof(f7656,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xp) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_281
    | ~ spl21_431 ),
    inference(forward_demodulation,[],[f7630,f4966]) ).

fof(f7630,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xp) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_431 ),
    inference(resolution,[],[f6966,f1761]) ).

fof(f6966,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_431 ),
    inference(avatar_component_clause,[],[f6965]) ).

fof(f66809,plain,
    ( spl21_1145
    | ~ spl21_154
    | ~ spl21_279
    | ~ spl21_430 ),
    inference(avatar_split_clause,[],[f7617,f6961,f4676,f1760,f66807]) ).

fof(f66807,plain,
    ( spl21_1145
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xm) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1145])]) ).

fof(f6961,plain,
    ( spl21_430
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_430])]) ).

fof(f7617,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xm) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_279
    | ~ spl21_430 ),
    inference(forward_demodulation,[],[f7590,f4678]) ).

fof(f7590,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_430 ),
    inference(resolution,[],[f6962,f1761]) ).

fof(f6962,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_430 ),
    inference(avatar_component_clause,[],[f6961]) ).

fof(f66804,plain,
    ( spl21_1144
    | ~ spl21_154
    | ~ spl21_278
    | ~ spl21_429 ),
    inference(avatar_split_clause,[],[f7581,f6957,f4372,f1760,f66802]) ).

fof(f66802,plain,
    ( spl21_1144
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xn) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1144])]) ).

fof(f6957,plain,
    ( spl21_429
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_429])]) ).

fof(f7581,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xn) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_278
    | ~ spl21_429 ),
    inference(forward_demodulation,[],[f7554,f4374]) ).

fof(f7554,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_429 ),
    inference(resolution,[],[f6958,f1761]) ).

fof(f6958,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_429 ),
    inference(avatar_component_clause,[],[f6957]) ).

fof(f66799,plain,
    ( spl21_1143
    | ~ spl21_154
    | ~ spl21_276
    | ~ spl21_428 ),
    inference(avatar_split_clause,[],[f7543,f6953,f4209,f1760,f66797]) ).

fof(f66797,plain,
    ( spl21_1143
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK12) = sdtasdt0(X0,sdtasdt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1143])]) ).

fof(f6953,plain,
    ( spl21_428
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK12) = sdtasdt0(X0,sdtasdt0(X1,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_428])]) ).

fof(f7543,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK12) = sdtasdt0(X0,sdtasdt0(sK12,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_276
    | ~ spl21_428 ),
    inference(forward_demodulation,[],[f7516,f4931]) ).

fof(f4931,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK12) = sdtasdt0(sK12,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_276 ),
    inference(resolution,[],[f4210,f1761]) ).

fof(f7516,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK12) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_428 ),
    inference(resolution,[],[f6954,f1761]) ).

fof(f6954,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK12) = sdtasdt0(X0,sdtasdt0(X1,sK12))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_428 ),
    inference(avatar_component_clause,[],[f6953]) ).

fof(f66794,plain,
    ( spl21_1142
    | ~ spl21_154
    | ~ spl21_275
    | ~ spl21_427 ),
    inference(avatar_split_clause,[],[f7504,f6949,f4205,f1760,f66792]) ).

fof(f66792,plain,
    ( spl21_1142
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK11) = sdtasdt0(X0,sdtasdt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1142])]) ).

fof(f6949,plain,
    ( spl21_427
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK11) = sdtasdt0(X0,sdtasdt0(X1,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_427])]) ).

fof(f7504,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK11) = sdtasdt0(X0,sdtasdt0(sK11,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_275
    | ~ spl21_427 ),
    inference(forward_demodulation,[],[f7477,f4900]) ).

fof(f4900,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK11) = sdtasdt0(sK11,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_275 ),
    inference(resolution,[],[f4206,f1761]) ).

fof(f7477,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK11) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_427 ),
    inference(resolution,[],[f6950,f1761]) ).

fof(f6950,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK11) = sdtasdt0(X0,sdtasdt0(X1,sK11))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_427 ),
    inference(avatar_component_clause,[],[f6949]) ).

fof(f66789,plain,
    ( spl21_1141
    | ~ spl21_154
    | ~ spl21_426
    | ~ spl21_453 ),
    inference(avatar_split_clause,[],[f7463,f7222,f6945,f1760,f66787]) ).

fof(f66787,plain,
    ( spl21_1141
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK10) = sdtasdt0(X0,sdtasdt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1141])]) ).

fof(f6945,plain,
    ( spl21_426
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK10) = sdtasdt0(X0,sdtasdt0(X1,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_426])]) ).

fof(f7222,plain,
    ( spl21_453
  <=> sdtasdt0(sdtpldt0(xn,xm),sK10) = sdtasdt0(sK10,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_453])]) ).

fof(f7463,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK10) = sdtasdt0(X0,sdtasdt0(sK10,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_426
    | ~ spl21_453 ),
    inference(forward_demodulation,[],[f7436,f7224]) ).

fof(f7224,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK10) = sdtasdt0(sK10,sdtpldt0(xn,xm))
    | ~ spl21_453 ),
    inference(avatar_component_clause,[],[f7222]) ).

fof(f7436,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_426 ),
    inference(resolution,[],[f6946,f1761]) ).

fof(f6946,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK10) = sdtasdt0(X0,sdtasdt0(X1,sK10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_426 ),
    inference(avatar_component_clause,[],[f6945]) ).

fof(f66784,plain,
    ( spl21_1140
    | ~ spl21_154
    | ~ spl21_425
    | ~ spl21_449 ),
    inference(avatar_split_clause,[],[f7422,f7054,f6941,f1760,f66782]) ).

fof(f66782,plain,
    ( spl21_1140
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK9) = sdtasdt0(X0,sdtasdt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1140])]) ).

fof(f6941,plain,
    ( spl21_425
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK9) = sdtasdt0(X0,sdtasdt0(X1,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_425])]) ).

fof(f7054,plain,
    ( spl21_449
  <=> sdtasdt0(sdtpldt0(xn,xm),sK9) = sdtasdt0(sK9,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_449])]) ).

fof(f7422,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK9) = sdtasdt0(X0,sdtasdt0(sK9,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_425
    | ~ spl21_449 ),
    inference(forward_demodulation,[],[f7395,f7056]) ).

fof(f7056,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK9) = sdtasdt0(sK9,sdtpldt0(xn,xm))
    | ~ spl21_449 ),
    inference(avatar_component_clause,[],[f7054]) ).

fof(f7395,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK9) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_425 ),
    inference(resolution,[],[f6942,f1761]) ).

fof(f6942,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK9) = sdtasdt0(X0,sdtasdt0(X1,sK9))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_425 ),
    inference(avatar_component_clause,[],[f6941]) ).

fof(f66779,plain,
    ( spl21_1139
    | ~ spl21_154
    | ~ spl21_424
    | ~ spl21_443 ),
    inference(avatar_split_clause,[],[f7380,f7014,f6937,f1760,f66777]) ).

fof(f66777,plain,
    ( spl21_1139
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK8) = sdtasdt0(X0,sdtasdt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1139])]) ).

fof(f6937,plain,
    ( spl21_424
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK8) = sdtasdt0(X0,sdtasdt0(X1,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_424])]) ).

fof(f7014,plain,
    ( spl21_443
  <=> sdtasdt0(sdtpldt0(xn,xm),sK8) = sdtasdt0(sK8,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_443])]) ).

fof(f7380,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK8) = sdtasdt0(X0,sdtasdt0(sK8,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_424
    | ~ spl21_443 ),
    inference(forward_demodulation,[],[f7353,f7016]) ).

fof(f7016,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK8) = sdtasdt0(sK8,sdtpldt0(xn,xm))
    | ~ spl21_443 ),
    inference(avatar_component_clause,[],[f7014]) ).

fof(f7353,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK8) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_424 ),
    inference(resolution,[],[f6938,f1761]) ).

fof(f6938,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK8) = sdtasdt0(X0,sdtasdt0(X1,sK8))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_424 ),
    inference(avatar_component_clause,[],[f6937]) ).

fof(f66774,plain,
    ( spl21_1138
    | ~ spl21_154
    | ~ spl21_423
    | ~ spl21_432 ),
    inference(avatar_split_clause,[],[f7337,f6969,f6933,f1760,f66772]) ).

fof(f66772,plain,
    ( spl21_1138
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK7) = sdtasdt0(X0,sdtasdt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1138])]) ).

fof(f6933,plain,
    ( spl21_423
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK7) = sdtasdt0(X0,sdtasdt0(X1,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_423])]) ).

fof(f6969,plain,
    ( spl21_432
  <=> sdtasdt0(sdtpldt0(xn,xm),sK7) = sdtasdt0(sK7,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_432])]) ).

fof(f7337,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK7) = sdtasdt0(X0,sdtasdt0(sK7,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_423
    | ~ spl21_432 ),
    inference(forward_demodulation,[],[f7310,f6971]) ).

fof(f6971,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK7) = sdtasdt0(sK7,sdtpldt0(xn,xm))
    | ~ spl21_432 ),
    inference(avatar_component_clause,[],[f6969]) ).

fof(f7310,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK7) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_423 ),
    inference(resolution,[],[f6934,f1761]) ).

fof(f6934,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK7) = sdtasdt0(X0,sdtasdt0(X1,sK7))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_423 ),
    inference(avatar_component_clause,[],[f6933]) ).

fof(f66769,plain,
    ( spl21_1137
    | ~ spl21_154
    | ~ spl21_421
    | ~ spl21_422 ),
    inference(avatar_split_clause,[],[f7293,f6929,f6924,f1760,f66767]) ).

fof(f66767,plain,
    ( spl21_1137
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK6) = sdtasdt0(X0,sdtasdt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1137])]) ).

fof(f6924,plain,
    ( spl21_421
  <=> sdtasdt0(sdtpldt0(xn,xm),sK6) = sdtasdt0(sK6,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_421])]) ).

fof(f6929,plain,
    ( spl21_422
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK6) = sdtasdt0(X0,sdtasdt0(X1,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_422])]) ).

fof(f7293,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK6) = sdtasdt0(X0,sdtasdt0(sK6,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_421
    | ~ spl21_422 ),
    inference(forward_demodulation,[],[f7266,f6926]) ).

fof(f6926,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK6) = sdtasdt0(sK6,sdtpldt0(xn,xm))
    | ~ spl21_421 ),
    inference(avatar_component_clause,[],[f6924]) ).

fof(f7266,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sK6) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_422 ),
    inference(resolution,[],[f6930,f1761]) ).

fof(f6930,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK6) = sdtasdt0(X0,sdtasdt0(X1,sK6))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_422 ),
    inference(avatar_component_clause,[],[f6929]) ).

fof(f66762,plain,
    ( spl21_1136
    | ~ spl21_154
    | ~ spl21_414
    | ~ spl21_420 ),
    inference(avatar_split_clause,[],[f7256,f6920,f6829,f1760,f66760]) ).

fof(f66760,plain,
    ( spl21_1136
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xr) = sdtasdt0(X0,sdtasdt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1136])]) ).

fof(f6829,plain,
    ( spl21_414
  <=> sdtasdt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_414])]) ).

fof(f6920,plain,
    ( spl21_420
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_420])]) ).

fof(f7256,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xr) = sdtasdt0(X0,sdtasdt0(xr,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_414
    | ~ spl21_420 ),
    inference(forward_demodulation,[],[f7229,f6831]) ).

fof(f6831,plain,
    ( sdtasdt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xr)
    | ~ spl21_414 ),
    inference(avatar_component_clause,[],[f6829]) ).

fof(f7229,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xr) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_420 ),
    inference(resolution,[],[f6921,f1761]) ).

fof(f6921,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_420 ),
    inference(avatar_component_clause,[],[f6920]) ).

fof(f66757,plain,
    ( spl21_1135
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_419 ),
    inference(avatar_split_clause,[],[f7213,f6916,f6593,f1760,f66755]) ).

fof(f66755,plain,
    ( spl21_1135
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xk) = sdtasdt0(X0,sdtasdt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1135])]) ).

fof(f6593,plain,
    ( spl21_413
  <=> sdtasdt0(sdtpldt0(xn,xm),xk) = sdtasdt0(xk,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_413])]) ).

fof(f6916,plain,
    ( spl21_419
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xk) = sdtasdt0(X0,sdtasdt0(X1,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_419])]) ).

fof(f7213,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xk) = sdtasdt0(X0,sdtasdt0(xk,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_419 ),
    inference(forward_demodulation,[],[f7186,f6595]) ).

fof(f6595,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xk) = sdtasdt0(xk,sdtpldt0(xn,xm))
    | ~ spl21_413 ),
    inference(avatar_component_clause,[],[f6593]) ).

fof(f7186,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xk) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_419 ),
    inference(resolution,[],[f6917,f1761]) ).

fof(f6917,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xk) = sdtasdt0(X0,sdtasdt0(X1,xk))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_419 ),
    inference(avatar_component_clause,[],[f6916]) ).

fof(f66751,plain,
    ( spl21_1134
    | ~ spl21_154
    | ~ spl21_396
    | ~ spl21_418 ),
    inference(avatar_split_clause,[],[f7180,f6912,f6478,f1760,f66749]) ).

fof(f66749,plain,
    ( spl21_1134
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xp) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1134])]) ).

fof(f6912,plain,
    ( spl21_418
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_418])]) ).

fof(f7180,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xp) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_396
    | ~ spl21_418 ),
    inference(forward_demodulation,[],[f7153,f6480]) ).

fof(f7153,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xp) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_418 ),
    inference(resolution,[],[f6913,f1761]) ).

fof(f6913,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_418 ),
    inference(avatar_component_clause,[],[f6912]) ).

fof(f66744,plain,
    ( spl21_1133
    | ~ spl21_154
    | ~ spl21_390
    | ~ spl21_417 ),
    inference(avatar_split_clause,[],[f7144,f6908,f6418,f1760,f66742]) ).

fof(f66742,plain,
    ( spl21_1133
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xm) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1133])]) ).

fof(f6418,plain,
    ( spl21_390
  <=> sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_390])]) ).

fof(f6908,plain,
    ( spl21_417
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_417])]) ).

fof(f7144,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xm) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_390
    | ~ spl21_417 ),
    inference(forward_demodulation,[],[f7117,f6420]) ).

fof(f6420,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm))
    | ~ spl21_390 ),
    inference(avatar_component_clause,[],[f6418]) ).

fof(f7117,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_417 ),
    inference(resolution,[],[f6909,f1761]) ).

fof(f6909,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_417 ),
    inference(avatar_component_clause,[],[f6908]) ).

fof(f66739,plain,
    ( spl21_1132
    | ~ spl21_154
    | ~ spl21_375
    | ~ spl21_416 ),
    inference(avatar_split_clause,[],[f7108,f6904,f6140,f1760,f66737]) ).

fof(f66737,plain,
    ( spl21_1132
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xn) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1132])]) ).

fof(f6140,plain,
    ( spl21_375
  <=> sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_375])]) ).

fof(f6904,plain,
    ( spl21_416
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_416])]) ).

fof(f7108,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xn) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_375
    | ~ spl21_416 ),
    inference(forward_demodulation,[],[f7081,f6142]) ).

fof(f6142,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm))
    | ~ spl21_375 ),
    inference(avatar_component_clause,[],[f6140]) ).

fof(f7081,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_416 ),
    inference(resolution,[],[f6905,f1761]) ).

fof(f6905,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_416 ),
    inference(avatar_component_clause,[],[f6904]) ).

fof(f66735,plain,
    ( spl21_17
    | ~ spl21_1131
    | ~ spl21_58
    | ~ spl21_151 ),
    inference(avatar_split_clause,[],[f1750,f1743,f634,f66732,f422]) ).

fof(f422,plain,
    ( spl21_17
  <=> sP4(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).

fof(f66732,plain,
    ( spl21_1131
  <=> isPrime0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1131])]) ).

fof(f634,plain,
    ( spl21_58
  <=> ! [X0] :
        ( sP4(X0)
        | ~ isPrime0(X0)
        | ~ sP5(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).

fof(f1743,plain,
    ( spl21_151
  <=> sP5(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_151])]) ).

fof(f1750,plain,
    ( ~ isPrime0(sz10)
    | sP4(sz10)
    | ~ spl21_58
    | ~ spl21_151 ),
    inference(resolution,[],[f1745,f635]) ).

fof(f635,plain,
    ( ! [X0] :
        ( ~ sP5(X0)
        | ~ isPrime0(X0)
        | sP4(X0) )
    | ~ spl21_58 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1745,plain,
    ( sP5(sz10)
    | ~ spl21_151 ),
    inference(avatar_component_clause,[],[f1743]) ).

fof(f66728,plain,
    ( spl21_1130
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_1129 ),
    inference(avatar_split_clause,[],[f66723,f66719,f4175,f407,f66725]) ).

fof(f66725,plain,
    ( spl21_1130
  <=> sP5(sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1130])]) ).

fof(f66719,plain,
    ( spl21_1129
  <=> sP5(sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1129])]) ).

fof(f66723,plain,
    ( sP5(sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_1129 ),
    inference(forward_demodulation,[],[f66721,f4728]) ).

fof(f66721,plain,
    ( sP5(sdtasdt0(xr,sK11))
    | ~ spl21_1129 ),
    inference(avatar_component_clause,[],[f66719]) ).

fof(f66722,plain,
    ( spl21_1129
    | ~ spl21_35
    | ~ spl21_247 ),
    inference(avatar_split_clause,[],[f3957,f3930,f512,f66719]) ).

fof(f3930,plain,
    ( spl21_247
  <=> aNaturalNumber0(sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_247])]) ).

fof(f3957,plain,
    ( sP5(sdtasdt0(xr,sK11))
    | ~ spl21_35
    | ~ spl21_247 ),
    inference(resolution,[],[f3932,f513]) ).

fof(f3932,plain,
    ( aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ spl21_247 ),
    inference(avatar_component_clause,[],[f3930]) ).

fof(f66634,plain,
    ( spl21_933
    | ~ spl21_1128
    | ~ spl21_58
    | ~ spl21_111 ),
    inference(avatar_split_clause,[],[f1736,f1097,f634,f66631,f38120]) ).

fof(f38120,plain,
    ( spl21_933
  <=> sP4(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_933])]) ).

fof(f66631,plain,
    ( spl21_1128
  <=> isPrime0(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1128])]) ).

fof(f1097,plain,
    ( spl21_111
  <=> sP5(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_111])]) ).

fof(f1736,plain,
    ( ~ isPrime0(sK12)
    | sP4(sK12)
    | ~ spl21_58
    | ~ spl21_111 ),
    inference(resolution,[],[f1099,f635]) ).

fof(f1099,plain,
    ( sP5(sK12)
    | ~ spl21_111 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f66629,plain,
    ( spl21_935
    | ~ spl21_1127
    | ~ spl21_58
    | ~ spl21_103 ),
    inference(avatar_split_clause,[],[f1734,f1062,f634,f66626,f38218]) ).

fof(f38218,plain,
    ( spl21_935
  <=> sP4(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_935])]) ).

fof(f66626,plain,
    ( spl21_1127
  <=> isPrime0(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1127])]) ).

fof(f1062,plain,
    ( spl21_103
  <=> sP5(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).

fof(f1734,plain,
    ( ~ isPrime0(sK11)
    | sP4(sK11)
    | ~ spl21_58
    | ~ spl21_103 ),
    inference(resolution,[],[f1064,f635]) ).

fof(f1064,plain,
    ( sP5(sK11)
    | ~ spl21_103 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f66624,plain,
    ( spl21_937
    | ~ spl21_1126
    | ~ spl21_58
    | ~ spl21_101 ),
    inference(avatar_split_clause,[],[f1732,f968,f634,f66621,f38243]) ).

fof(f38243,plain,
    ( spl21_937
  <=> sP4(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_937])]) ).

fof(f66621,plain,
    ( spl21_1126
  <=> isPrime0(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1126])]) ).

fof(f968,plain,
    ( spl21_101
  <=> sP5(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).

fof(f1732,plain,
    ( ~ isPrime0(sK10)
    | sP4(sK10)
    | ~ spl21_58
    | ~ spl21_101 ),
    inference(resolution,[],[f970,f635]) ).

fof(f970,plain,
    ( sP5(sK10)
    | ~ spl21_101 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f66619,plain,
    ( spl21_939
    | ~ spl21_1125
    | ~ spl21_58
    | ~ spl21_92 ),
    inference(avatar_split_clause,[],[f1730,f929,f634,f66616,f38268]) ).

fof(f38268,plain,
    ( spl21_939
  <=> sP4(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_939])]) ).

fof(f66616,plain,
    ( spl21_1125
  <=> isPrime0(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1125])]) ).

fof(f929,plain,
    ( spl21_92
  <=> sP5(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_92])]) ).

fof(f1730,plain,
    ( ~ isPrime0(sK9)
    | sP4(sK9)
    | ~ spl21_58
    | ~ spl21_92 ),
    inference(resolution,[],[f931,f635]) ).

fof(f931,plain,
    ( sP5(sK9)
    | ~ spl21_92 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f66614,plain,
    ( spl21_941
    | ~ spl21_1124
    | ~ spl21_58
    | ~ spl21_85 ),
    inference(avatar_split_clause,[],[f1718,f891,f634,f66611,f38293]) ).

fof(f38293,plain,
    ( spl21_941
  <=> sP4(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_941])]) ).

fof(f66611,plain,
    ( spl21_1124
  <=> isPrime0(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1124])]) ).

fof(f891,plain,
    ( spl21_85
  <=> sP5(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).

fof(f1718,plain,
    ( ~ isPrime0(sK8)
    | sP4(sK8)
    | ~ spl21_58
    | ~ spl21_85 ),
    inference(resolution,[],[f893,f635]) ).

fof(f893,plain,
    ( sP5(sK8)
    | ~ spl21_85 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f66609,plain,
    ( ~ spl21_6
    | spl21_1123
    | ~ spl21_116
    | ~ spl21_1025 ),
    inference(avatar_split_clause,[],[f51654,f49715,f1134,f66606,f367]) ).

fof(f66606,plain,
    ( spl21_1123
  <=> doDivides0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1123])]) ).

fof(f49715,plain,
    ( spl21_1025
  <=> xm = sdtasdt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1025])]) ).

fof(f51654,plain,
    ( doDivides0(xm,xm)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_116
    | ~ spl21_1025 ),
    inference(duplicate_literal_removal,[],[f51578]) ).

fof(f51578,plain,
    ( doDivides0(xm,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_116
    | ~ spl21_1025 ),
    inference(superposition,[],[f1135,f49717]) ).

fof(f49717,plain,
    ( xm = sdtasdt0(xm,xm)
    | ~ spl21_1025 ),
    inference(avatar_component_clause,[],[f49715]) ).

fof(f66604,plain,
    ( spl21_943
    | ~ spl21_1122
    | ~ spl21_58
    | ~ spl21_82 ),
    inference(avatar_split_clause,[],[f1677,f747,f634,f66601,f38318]) ).

fof(f38318,plain,
    ( spl21_943
  <=> sP4(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_943])]) ).

fof(f66601,plain,
    ( spl21_1122
  <=> isPrime0(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1122])]) ).

fof(f747,plain,
    ( spl21_82
  <=> sP5(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).

fof(f1677,plain,
    ( ~ isPrime0(sK7)
    | sP4(sK7)
    | ~ spl21_58
    | ~ spl21_82 ),
    inference(resolution,[],[f749,f635]) ).

fof(f749,plain,
    ( sP5(sK7)
    | ~ spl21_82 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f66599,plain,
    ( spl21_945
    | ~ spl21_1121
    | ~ spl21_58
    | ~ spl21_74 ),
    inference(avatar_split_clause,[],[f1596,f711,f634,f66596,f38343]) ).

fof(f38343,plain,
    ( spl21_945
  <=> sP4(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_945])]) ).

fof(f66596,plain,
    ( spl21_1121
  <=> isPrime0(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1121])]) ).

fof(f711,plain,
    ( spl21_74
  <=> sP5(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).

fof(f1596,plain,
    ( ~ isPrime0(sK6)
    | sP4(sK6)
    | ~ spl21_58
    | ~ spl21_74 ),
    inference(resolution,[],[f713,f635]) ).

fof(f713,plain,
    ( sP5(sK6)
    | ~ spl21_74 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f66594,plain,
    ( spl21_575
    | ~ spl21_4
    | ~ spl21_58
    | ~ spl21_69 ),
    inference(avatar_split_clause,[],[f1475,f688,f634,f357,f12319]) ).

fof(f688,plain,
    ( spl21_69
  <=> sP5(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_69])]) ).

fof(f1475,plain,
    ( ~ isPrime0(xr)
    | sP4(xr)
    | ~ spl21_58
    | ~ spl21_69 ),
    inference(resolution,[],[f690,f635]) ).

fof(f690,plain,
    ( sP5(xr)
    | ~ spl21_69 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f66593,plain,
    ( spl21_292
    | ~ spl21_1120
    | ~ spl21_58
    | ~ spl21_60 ),
    inference(avatar_split_clause,[],[f1366,f642,f634,f66590,f5227]) ).

fof(f5227,plain,
    ( spl21_292
  <=> sP4(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_292])]) ).

fof(f66590,plain,
    ( spl21_1120
  <=> isPrime0(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1120])]) ).

fof(f642,plain,
    ( spl21_60
  <=> sP5(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).

fof(f1366,plain,
    ( ~ isPrime0(xk)
    | sP4(xk)
    | ~ spl21_58
    | ~ spl21_60 ),
    inference(resolution,[],[f644,f635]) ).

fof(f644,plain,
    ( sP5(xk)
    | ~ spl21_60 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f66588,plain,
    ( spl21_596
    | spl21_31
    | ~ spl21_16
    | ~ spl21_7
    | ~ spl21_579
    | ~ spl21_195
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15468,f15368,f1984,f12369,f372,f417,f492,f13114]) ).

fof(f492,plain,
    ( spl21_31
  <=> sz10 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).

fof(f1984,plain,
    ( spl21_195
  <=> xp = sdtasdt0(sz10,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_195])]) ).

fof(f15368,plain,
    ( spl21_649
  <=> ! [X0,X1] :
        ( xn = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = X1
        | ~ sP4(sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_649])]) ).

fof(f15468,plain,
    ( ~ sP4(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | sz10 = xn
    | ~ spl21_195
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15397]) ).

fof(f15397,plain,
    ( ~ sP4(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xp
    | sz10 = xn
    | ~ spl21_195
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f1986]) ).

fof(f1986,plain,
    ( xp = sdtasdt0(sz10,xp)
    | ~ spl21_195 ),
    inference(avatar_component_clause,[],[f1984]) ).

fof(f15369,plain,
    ( ! [X0,X1] :
        ( ~ sP4(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = X1
        | xn = X1 )
    | ~ spl21_649 ),
    inference(avatar_component_clause,[],[f15368]) ).

fof(f66587,plain,
    ( spl21_1119
    | ~ spl21_70
    | ~ spl21_929 ),
    inference(avatar_split_clause,[],[f38380,f37699,f693,f66584]) ).

fof(f66584,plain,
    ( spl21_1119
  <=> xk = sdtsldt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1119])]) ).

fof(f693,plain,
    ( spl21_70
  <=> xk = sdtsldt0(sdtasdt0(xr,sK11),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).

fof(f37699,plain,
    ( spl21_929
  <=> xm = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_929])]) ).

fof(f38380,plain,
    ( xk = sdtsldt0(xm,xp)
    | ~ spl21_70
    | ~ spl21_929 ),
    inference(superposition,[],[f695,f37701]) ).

fof(f37701,plain,
    ( xm = sdtasdt0(xr,sK11)
    | ~ spl21_929 ),
    inference(avatar_component_clause,[],[f37699]) ).

fof(f695,plain,
    ( xk = sdtsldt0(sdtasdt0(xr,sK11),xp)
    | ~ spl21_70 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f66570,plain,
    ( spl21_579
    | ~ spl21_11
    | ~ spl21_56
    | ~ spl21_58 ),
    inference(avatar_split_clause,[],[f1292,f634,f625,f392,f12369]) ).

fof(f625,plain,
    ( spl21_56
  <=> sP5(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).

fof(f1292,plain,
    ( ~ isPrime0(xp)
    | sP4(xp)
    | ~ spl21_56
    | ~ spl21_58 ),
    inference(resolution,[],[f627,f635]) ).

fof(f627,plain,
    ( sP5(xp)
    | ~ spl21_56 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f66569,plain,
    ( spl21_920
    | ~ spl21_1118
    | ~ spl21_48
    | ~ spl21_58 ),
    inference(avatar_split_clause,[],[f1217,f634,f590,f66566,f35134]) ).

fof(f35134,plain,
    ( spl21_920
  <=> sP4(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_920])]) ).

fof(f66566,plain,
    ( spl21_1118
  <=> isPrime0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1118])]) ).

fof(f590,plain,
    ( spl21_48
  <=> sP5(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).

fof(f1217,plain,
    ( ~ isPrime0(xm)
    | sP4(xm)
    | ~ spl21_48
    | ~ spl21_58 ),
    inference(resolution,[],[f592,f635]) ).

fof(f592,plain,
    ( sP5(xm)
    | ~ spl21_48 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f66562,plain,
    ( spl21_1117
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_682 ),
    inference(avatar_split_clause,[],[f49092,f16892,f6593,f1760,f66559]) ).

fof(f49092,plain,
    ( sdtasdt0(xk,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_682 ),
    inference(forward_demodulation,[],[f16898,f6595]) ).

fof(f16898,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xk) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(sK11,xr)),xp)
    | ~ spl21_154
    | ~ spl21_682 ),
    inference(resolution,[],[f16893,f1761]) ).

fof(f64354,plain,
    ( ~ spl21_1113
    | ~ spl21_15
    | spl21_1114
    | spl21_1115
    | ~ spl21_1116
    | ~ spl21_241
    | ~ spl21_708 ),
    inference(avatar_split_clause,[],[f18031,f17975,f3703,f64351,f64347,f64343,f412,f64339]) ).

fof(f64339,plain,
    ( spl21_1113
  <=> isPrime0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1113])]) ).

fof(f64343,plain,
    ( spl21_1114
  <=> sP3(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1114])]) ).

fof(f64347,plain,
    ( spl21_1115
  <=> sP2(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1115])]) ).

fof(f64351,plain,
    ( spl21_1116
  <=> iLess0(sz00,sdtpldt0(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1116])]) ).

fof(f3703,plain,
    ( spl21_241
  <=> sz00 = sdtpldt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_241])]) ).

fof(f18031,plain,
    ( ~ iLess0(sz00,sdtpldt0(xn,xp))
    | sP2(sz00,sz00)
    | sP3(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(sz00)
    | ~ spl21_241
    | ~ spl21_708 ),
    inference(forward_demodulation,[],[f18030,f3705]) ).

fof(f3705,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl21_241 ),
    inference(avatar_component_clause,[],[f3703]) ).

fof(f18030,plain,
    ( ~ iLess0(sdtpldt0(sz00,sz00),sdtpldt0(xn,xp))
    | sP2(sz00,sz00)
    | sP3(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(sz00)
    | ~ spl21_241
    | ~ spl21_708 ),
    inference(duplicate_literal_removal,[],[f17978]) ).

fof(f17978,plain,
    ( ~ iLess0(sdtpldt0(sz00,sz00),sdtpldt0(xn,xp))
    | sP2(sz00,sz00)
    | sP3(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ isPrime0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl21_241
    | ~ spl21_708 ),
    inference(superposition,[],[f17976,f3705]) ).

fof(f64070,plain,
    ( spl21_1112
    | ~ spl21_287
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12782,f12647,f4989,f64067]) ).

fof(f64067,plain,
    ( spl21_1112
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1112])]) ).

fof(f4989,plain,
    ( spl21_287
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_287])]) ).

fof(f12782,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_287
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4990]) ).

fof(f4990,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
    | ~ spl21_287 ),
    inference(avatar_component_clause,[],[f4989]) ).

fof(f64004,plain,
    ( spl21_1111
    | ~ spl21_1030
    | ~ spl21_1110 ),
    inference(avatar_split_clause,[],[f63999,f63995,f50439,f64001]) ).

fof(f64001,plain,
    ( spl21_1111
  <=> sdtpldt0(sdtpldt0(xr,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1111])]) ).

fof(f63995,plain,
    ( spl21_1110
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1110])]) ).

fof(f63999,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1110 ),
    inference(forward_demodulation,[],[f63997,f50441]) ).

fof(f63997,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1110 ),
    inference(avatar_component_clause,[],[f63995]) ).

fof(f63998,plain,
    ( spl21_1110
    | ~ spl21_286
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12781,f12647,f4985,f63995]) ).

fof(f12781,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_286
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4986]) ).

fof(f63992,plain,
    ( spl21_1109
    | ~ spl21_285
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12780,f12647,f4981,f63989]) ).

fof(f63989,plain,
    ( spl21_1109
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1109])]) ).

fof(f4981,plain,
    ( spl21_285
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_285])]) ).

fof(f12780,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_285
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4982]) ).

fof(f4982,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
    | ~ spl21_285 ),
    inference(avatar_component_clause,[],[f4981]) ).

fof(f63910,plain,
    ( spl21_1108
    | ~ spl21_1030
    | ~ spl21_1107 ),
    inference(avatar_split_clause,[],[f63905,f63901,f50439,f63907]) ).

fof(f63907,plain,
    ( spl21_1108
  <=> sdtasdt0(sdtpldt0(xr,xn),sK12) = sdtasdt0(sK12,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1108])]) ).

fof(f63901,plain,
    ( spl21_1107
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtasdt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1107])]) ).

fof(f63905,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK12) = sdtasdt0(sK12,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1107 ),
    inference(forward_demodulation,[],[f63903,f50441]) ).

fof(f63903,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtasdt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1107 ),
    inference(avatar_component_clause,[],[f63901]) ).

fof(f63904,plain,
    ( spl21_1107
    | ~ spl21_276
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12779,f12647,f4209,f63901]) ).

fof(f12779,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtasdt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_276
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4210]) ).

fof(f63822,plain,
    ( spl21_1106
    | ~ spl21_1030
    | ~ spl21_1104 ),
    inference(avatar_split_clause,[],[f63812,f63808,f50439,f63819]) ).

fof(f63819,plain,
    ( spl21_1106
  <=> sdtasdt0(sdtpldt0(xr,xn),sK11) = sdtasdt0(sK11,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1106])]) ).

fof(f63808,plain,
    ( spl21_1104
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtasdt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1104])]) ).

fof(f63812,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK11) = sdtasdt0(sK11,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1104 ),
    inference(forward_demodulation,[],[f63810,f50441]) ).

fof(f63810,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtasdt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1104 ),
    inference(avatar_component_clause,[],[f63808]) ).

fof(f63817,plain,
    ( spl21_1105
    | ~ spl21_584
    | ~ spl21_1030 ),
    inference(avatar_split_clause,[],[f52673,f50439,f12647,f63814]) ).

fof(f63814,plain,
    ( spl21_1105
  <=> aNaturalNumber0(sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1105])]) ).

fof(f52673,plain,
    ( aNaturalNumber0(sdtpldt0(xr,xn))
    | ~ spl21_584
    | ~ spl21_1030 ),
    inference(superposition,[],[f12649,f50441]) ).

fof(f63811,plain,
    ( spl21_1104
    | ~ spl21_275
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12778,f12647,f4205,f63808]) ).

fof(f12778,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtasdt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_275
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4206]) ).

fof(f63726,plain,
    ( spl21_1103
    | ~ spl21_1030
    | ~ spl21_1102 ),
    inference(avatar_split_clause,[],[f63721,f63717,f50439,f63723]) ).

fof(f63723,plain,
    ( spl21_1103
  <=> sdtasdt0(sdtpldt0(xr,xn),sK10) = sdtasdt0(sK10,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1103])]) ).

fof(f63717,plain,
    ( spl21_1102
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtasdt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1102])]) ).

fof(f63721,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK10) = sdtasdt0(sK10,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1102 ),
    inference(forward_demodulation,[],[f63719,f50441]) ).

fof(f63719,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtasdt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1102 ),
    inference(avatar_component_clause,[],[f63717]) ).

fof(f63720,plain,
    ( spl21_1102
    | ~ spl21_274
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12777,f12647,f4201,f63717]) ).

fof(f12777,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtasdt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_274
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4202]) ).

fof(f63638,plain,
    ( spl21_1101
    | ~ spl21_1030
    | ~ spl21_1100 ),
    inference(avatar_split_clause,[],[f63633,f63629,f50439,f63635]) ).

fof(f63635,plain,
    ( spl21_1101
  <=> sdtasdt0(sdtpldt0(xr,xn),sK9) = sdtasdt0(sK9,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1101])]) ).

fof(f63629,plain,
    ( spl21_1100
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtasdt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1100])]) ).

fof(f63633,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK9) = sdtasdt0(sK9,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1100 ),
    inference(forward_demodulation,[],[f63631,f50441]) ).

fof(f63631,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtasdt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1100 ),
    inference(avatar_component_clause,[],[f63629]) ).

fof(f63632,plain,
    ( spl21_1100
    | ~ spl21_273
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12776,f12647,f4191,f63629]) ).

fof(f12776,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtasdt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_273
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4192]) ).

fof(f63550,plain,
    ( spl21_1099
    | ~ spl21_1030
    | ~ spl21_1098 ),
    inference(avatar_split_clause,[],[f63545,f63541,f50439,f63547]) ).

fof(f63547,plain,
    ( spl21_1099
  <=> sdtasdt0(sdtpldt0(xr,xn),sK8) = sdtasdt0(sK8,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1099])]) ).

fof(f63541,plain,
    ( spl21_1098
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtasdt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1098])]) ).

fof(f63545,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK8) = sdtasdt0(sK8,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1098 ),
    inference(forward_demodulation,[],[f63543,f50441]) ).

fof(f63543,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtasdt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1098 ),
    inference(avatar_component_clause,[],[f63541]) ).

fof(f63544,plain,
    ( spl21_1098
    | ~ spl21_272
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12775,f12647,f4187,f63541]) ).

fof(f12775,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtasdt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_272
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4188]) ).

fof(f63462,plain,
    ( spl21_1097
    | ~ spl21_1030
    | ~ spl21_1096 ),
    inference(avatar_split_clause,[],[f63457,f63453,f50439,f63459]) ).

fof(f63459,plain,
    ( spl21_1097
  <=> sdtasdt0(sdtpldt0(xr,xn),sK7) = sdtasdt0(sK7,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1097])]) ).

fof(f63453,plain,
    ( spl21_1096
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtasdt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1096])]) ).

fof(f63457,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK7) = sdtasdt0(sK7,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1096 ),
    inference(forward_demodulation,[],[f63455,f50441]) ).

fof(f63455,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtasdt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1096 ),
    inference(avatar_component_clause,[],[f63453]) ).

fof(f63456,plain,
    ( spl21_1096
    | ~ spl21_271
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12774,f12647,f4183,f63453]) ).

fof(f12774,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtasdt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_271
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4184]) ).

fof(f63371,plain,
    ( spl21_1095
    | ~ spl21_1030
    | ~ spl21_1094 ),
    inference(avatar_split_clause,[],[f63366,f63362,f50439,f63368]) ).

fof(f63368,plain,
    ( spl21_1095
  <=> sdtasdt0(sdtpldt0(xr,xn),sK6) = sdtasdt0(sK6,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1095])]) ).

fof(f63362,plain,
    ( spl21_1094
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1094])]) ).

fof(f63366,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK6) = sdtasdt0(sK6,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1094 ),
    inference(forward_demodulation,[],[f63364,f50441]) ).

fof(f63364,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtasdt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1094 ),
    inference(avatar_component_clause,[],[f63362]) ).

fof(f63365,plain,
    ( spl21_1094
    | ~ spl21_270
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12773,f12647,f4179,f63362]) ).

fof(f63283,plain,
    ( spl21_1093
    | ~ spl21_1030
    | ~ spl21_1092 ),
    inference(avatar_split_clause,[],[f63278,f63274,f50439,f63280]) ).

fof(f63274,plain,
    ( spl21_1092
  <=> sdtasdt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1092])]) ).

fof(f63278,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),xr) = sdtasdt0(xr,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1092 ),
    inference(forward_demodulation,[],[f63276,f50441]) ).

fof(f63276,plain,
    ( sdtasdt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr)
    | ~ spl21_1092 ),
    inference(avatar_component_clause,[],[f63274]) ).

fof(f63277,plain,
    ( spl21_1092
    | ~ spl21_269
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12772,f12647,f4175,f63274]) ).

fof(f12772,plain,
    ( sdtasdt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr)
    | ~ spl21_269
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4176]) ).

fof(f63192,plain,
    ( spl21_1091
    | ~ spl21_1030
    | ~ spl21_1090 ),
    inference(avatar_split_clause,[],[f63187,f63183,f50439,f63189]) ).

fof(f63189,plain,
    ( spl21_1091
  <=> sdtasdt0(xk,sdtpldt0(xr,xn)) = sdtasdt0(sdtpldt0(xr,xn),xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1091])]) ).

fof(f63183,plain,
    ( spl21_1090
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk) = sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1090])]) ).

fof(f63187,plain,
    ( sdtasdt0(xk,sdtpldt0(xr,xn)) = sdtasdt0(sdtpldt0(xr,xn),xk)
    | ~ spl21_1030
    | ~ spl21_1090 ),
    inference(forward_demodulation,[],[f63185,f50441]) ).

fof(f63185,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk) = sdtasdt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1090 ),
    inference(avatar_component_clause,[],[f63183]) ).

fof(f63186,plain,
    ( spl21_1090
    | ~ spl21_268
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12771,f12647,f4171,f63183]) ).

fof(f63104,plain,
    ( spl21_1089
    | ~ spl21_1030
    | ~ spl21_1088 ),
    inference(avatar_split_clause,[],[f63099,f63095,f50439,f63101]) ).

fof(f63101,plain,
    ( spl21_1089
  <=> sdtasdt0(sdtpldt0(xr,xn),xp) = sdtasdt0(xp,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1089])]) ).

fof(f63095,plain,
    ( spl21_1088
  <=> sdtasdt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1088])]) ).

fof(f63099,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),xp) = sdtasdt0(xp,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1088 ),
    inference(forward_demodulation,[],[f63097,f50441]) ).

fof(f63097,plain,
    ( sdtasdt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp)
    | ~ spl21_1088 ),
    inference(avatar_component_clause,[],[f63095]) ).

fof(f63098,plain,
    ( spl21_1088
    | ~ spl21_267
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12770,f12647,f4167,f63095]) ).

fof(f12770,plain,
    ( sdtasdt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp)
    | ~ spl21_267
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4168]) ).

fof(f63091,plain,
    ( spl21_1087
    | ~ spl21_266
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12769,f12647,f4163,f63088]) ).

fof(f63088,plain,
    ( spl21_1087
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm) = sdtasdt0(xm,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1087])]) ).

fof(f12769,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm) = sdtasdt0(xm,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_266
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4164]) ).

fof(f63085,plain,
    ( spl21_1086
    | ~ spl21_265
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12768,f12647,f4159,f63082]) ).

fof(f63082,plain,
    ( spl21_1086
  <=> sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xn) = sdtasdt0(xn,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1086])]) ).

fof(f12768,plain,
    ( sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xn) = sdtasdt0(xn,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_265
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4160]) ).

fof(f63014,plain,
    ( spl21_1085
    | ~ spl21_1030
    | ~ spl21_1084 ),
    inference(avatar_split_clause,[],[f63009,f63005,f50439,f63011]) ).

fof(f63011,plain,
    ( spl21_1085
  <=> sdtpldt0(sdtpldt0(xr,xn),sK12) = sdtpldt0(sK12,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1085])]) ).

fof(f63005,plain,
    ( spl21_1084
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtpldt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1084])]) ).

fof(f63009,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK12) = sdtpldt0(sK12,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1084 ),
    inference(forward_demodulation,[],[f63007,f50441]) ).

fof(f63007,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtpldt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1084 ),
    inference(avatar_component_clause,[],[f63005]) ).

fof(f63008,plain,
    ( spl21_1084
    | ~ spl21_264
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12767,f12647,f4155,f63005]) ).

fof(f12767,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK12) = sdtpldt0(sK12,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_264
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4156]) ).

fof(f62940,plain,
    ( spl21_1083
    | ~ spl21_1030
    | ~ spl21_1082 ),
    inference(avatar_split_clause,[],[f62935,f62931,f50439,f62937]) ).

fof(f62937,plain,
    ( spl21_1083
  <=> sdtpldt0(sdtpldt0(xr,xn),sK11) = sdtpldt0(sK11,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1083])]) ).

fof(f62931,plain,
    ( spl21_1082
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtpldt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1082])]) ).

fof(f62935,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK11) = sdtpldt0(sK11,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1082 ),
    inference(forward_demodulation,[],[f62933,f50441]) ).

fof(f62933,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtpldt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1082 ),
    inference(avatar_component_clause,[],[f62931]) ).

fof(f62934,plain,
    ( spl21_1082
    | ~ spl21_262
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12766,f12647,f4146,f62931]) ).

fof(f12766,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK11) = sdtpldt0(sK11,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_262
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4147]) ).

fof(f62866,plain,
    ( spl21_1081
    | ~ spl21_1030
    | ~ spl21_1080 ),
    inference(avatar_split_clause,[],[f62861,f62857,f50439,f62863]) ).

fof(f62863,plain,
    ( spl21_1081
  <=> sdtpldt0(sdtpldt0(xr,xn),sK10) = sdtpldt0(sK10,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1081])]) ).

fof(f62857,plain,
    ( spl21_1080
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtpldt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1080])]) ).

fof(f62861,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK10) = sdtpldt0(sK10,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1080 ),
    inference(forward_demodulation,[],[f62859,f50441]) ).

fof(f62859,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtpldt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1080 ),
    inference(avatar_component_clause,[],[f62857]) ).

fof(f62860,plain,
    ( spl21_1080
    | ~ spl21_261
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12765,f12647,f4142,f62857]) ).

fof(f12765,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK10) = sdtpldt0(sK10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_261
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4143]) ).

fof(f62789,plain,
    ( spl21_1079
    | ~ spl21_1030
    | ~ spl21_1078 ),
    inference(avatar_split_clause,[],[f62784,f62780,f50439,f62786]) ).

fof(f62786,plain,
    ( spl21_1079
  <=> sdtpldt0(sdtpldt0(xr,xn),sK9) = sdtpldt0(sK9,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1079])]) ).

fof(f62780,plain,
    ( spl21_1078
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtpldt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1078])]) ).

fof(f62784,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK9) = sdtpldt0(sK9,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1078 ),
    inference(forward_demodulation,[],[f62782,f50441]) ).

fof(f62782,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtpldt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1078 ),
    inference(avatar_component_clause,[],[f62780]) ).

fof(f62783,plain,
    ( spl21_1078
    | ~ spl21_260
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12764,f12647,f4138,f62780]) ).

fof(f12764,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK9) = sdtpldt0(sK9,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_260
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4139]) ).

fof(f62712,plain,
    ( spl21_1077
    | ~ spl21_1030
    | ~ spl21_1076 ),
    inference(avatar_split_clause,[],[f62707,f62703,f50439,f62709]) ).

fof(f62709,plain,
    ( spl21_1077
  <=> sdtpldt0(sdtpldt0(xr,xn),sK8) = sdtpldt0(sK8,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1077])]) ).

fof(f62703,plain,
    ( spl21_1076
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtpldt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1076])]) ).

fof(f62707,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK8) = sdtpldt0(sK8,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1076 ),
    inference(forward_demodulation,[],[f62705,f50441]) ).

fof(f62705,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtpldt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1076 ),
    inference(avatar_component_clause,[],[f62703]) ).

fof(f62706,plain,
    ( spl21_1076
    | ~ spl21_259
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12763,f12647,f4134,f62703]) ).

fof(f12763,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK8) = sdtpldt0(sK8,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_259
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4135]) ).

fof(f62635,plain,
    ( spl21_1075
    | ~ spl21_1030
    | ~ spl21_1074 ),
    inference(avatar_split_clause,[],[f62630,f62626,f50439,f62632]) ).

fof(f62632,plain,
    ( spl21_1075
  <=> sdtpldt0(sdtpldt0(xr,xn),sK7) = sdtpldt0(sK7,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1075])]) ).

fof(f62626,plain,
    ( spl21_1074
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtpldt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1074])]) ).

fof(f62630,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK7) = sdtpldt0(sK7,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1074 ),
    inference(forward_demodulation,[],[f62628,f50441]) ).

fof(f62628,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtpldt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1074 ),
    inference(avatar_component_clause,[],[f62626]) ).

fof(f62629,plain,
    ( spl21_1074
    | ~ spl21_258
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12762,f12647,f4130,f62626]) ).

fof(f12762,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK7) = sdtpldt0(sK7,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_258
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4131]) ).

fof(f62561,plain,
    ( spl21_1073
    | ~ spl21_1030
    | ~ spl21_1072 ),
    inference(avatar_split_clause,[],[f62556,f62552,f50439,f62558]) ).

fof(f62558,plain,
    ( spl21_1073
  <=> sdtpldt0(sdtpldt0(xr,xn),sK6) = sdtpldt0(sK6,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1073])]) ).

fof(f62552,plain,
    ( spl21_1072
  <=> sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtpldt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1072])]) ).

fof(f62556,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),sK6) = sdtpldt0(sK6,sdtpldt0(xr,xn))
    | ~ spl21_1030
    | ~ spl21_1072 ),
    inference(forward_demodulation,[],[f62554,f50441]) ).

fof(f62554,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtpldt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_1072 ),
    inference(avatar_component_clause,[],[f62552]) ).

fof(f62555,plain,
    ( spl21_1072
    | ~ spl21_257
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12761,f12647,f4126,f62552]) ).

fof(f12761,plain,
    ( sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sK6) = sdtpldt0(sK6,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_257
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4127]) ).

fof(f62547,plain,
    ( spl21_1071
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_421
    | ~ spl21_641 ),
    inference(avatar_split_clause,[],[f49090,f15269,f6924,f6593,f1760,f62544]) ).

fof(f49090,plain,
    ( sdtasdt0(sK6,sdtpldt0(xn,xm)) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xn,xm)),xr)
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_421
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15306,f6926]) ).

fof(f15306,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK6) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xn,xm)),xr)
    | ~ spl21_154
    | ~ spl21_413
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15275,f6595]) ).

fof(f15275,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK6) = sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),xk),xr)
    | ~ spl21_154
    | ~ spl21_641 ),
    inference(resolution,[],[f15270,f1761]) ).

fof(f60722,plain,
    ( spl21_1070
    | ~ spl21_7
    | ~ spl21_252
    | ~ spl21_598
    | ~ spl21_1030 ),
    inference(avatar_split_clause,[],[f60716,f50439,f13122,f4086,f372,f60720]) ).

fof(f13122,plain,
    ( spl21_598
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_598])]) ).

fof(f60716,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr) )
    | ~ spl21_7
    | ~ spl21_252
    | ~ spl21_598
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f60715,f4232]) ).

fof(f60715,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr) )
    | ~ spl21_598
    | ~ spl21_1030 ),
    inference(forward_demodulation,[],[f13123,f50441]) ).

fof(f13123,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | sP2(X0,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xp,sdtpldt0(xn,xm))) )
    | ~ spl21_598 ),
    inference(avatar_component_clause,[],[f13122]) ).

fof(f60671,plain,
    ( ~ spl21_9
    | spl21_1069
    | ~ spl21_5
    | ~ spl21_199
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(avatar_split_clause,[],[f14622,f14241,f13114,f2004,f362,f60668,f382]) ).

fof(f60668,plain,
    ( spl21_1069
  <=> sK7 = sdtasdt0(xn,sK19(xn,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1069])]) ).

fof(f2004,plain,
    ( spl21_199
  <=> sK7 = sdtasdt0(sz10,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_199])]) ).

fof(f14241,plain,
    ( spl21_618
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sK19(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_618])]) ).

fof(f14622,plain,
    ( ~ aNaturalNumber0(xn)
    | sK7 = sdtasdt0(xn,sK19(xn,sK7))
    | ~ aNaturalNumber0(sK7)
    | ~ spl21_199
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14621,f13116]) ).

fof(f13116,plain,
    ( sz10 = xn
    | ~ spl21_596 ),
    inference(avatar_component_clause,[],[f13114]) ).

fof(f14621,plain,
    ( sK7 = sdtasdt0(xn,sK19(xn,sK7))
    | ~ aNaturalNumber0(sK7)
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_199
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14544,f13116]) ).

fof(f14544,plain,
    ( ~ aNaturalNumber0(sK7)
    | sK7 = sdtasdt0(sz10,sK19(sz10,sK7))
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_199
    | ~ spl21_618 ),
    inference(duplicate_literal_removal,[],[f14468]) ).

fof(f14468,plain,
    ( ~ aNaturalNumber0(sK7)
    | sK7 = sdtasdt0(sz10,sK19(sz10,sK7))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sK7)
    | ~ spl21_199
    | ~ spl21_618 ),
    inference(superposition,[],[f14242,f2006]) ).

fof(f2006,plain,
    ( sK7 = sdtasdt0(sz10,sK7)
    | ~ spl21_199 ),
    inference(avatar_component_clause,[],[f2004]) ).

fof(f14242,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = sdtasdt0(X0,sK19(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_618 ),
    inference(avatar_component_clause,[],[f14241]) ).

fof(f60597,plain,
    ( ~ spl21_1068
    | ~ spl21_596
    | spl21_942 ),
    inference(avatar_split_clause,[],[f59261,f38314,f13114,f60594]) ).

fof(f38314,plain,
    ( spl21_942
  <=> sz10 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_942])]) ).

fof(f59261,plain,
    ( xn != sK7
    | ~ spl21_596
    | spl21_942 ),
    inference(superposition,[],[f38315,f13116]) ).

fof(f38315,plain,
    ( sz10 != sK7
    | spl21_942 ),
    inference(avatar_component_clause,[],[f38314]) ).

fof(f60592,plain,
    ( ~ spl21_3
    | spl21_1067
    | ~ spl21_5
    | ~ spl21_198
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(avatar_split_clause,[],[f14620,f14241,f13114,f1999,f362,f60589,f352]) ).

fof(f60589,plain,
    ( spl21_1067
  <=> sK6 = sdtasdt0(xn,sK19(xn,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1067])]) ).

fof(f1999,plain,
    ( spl21_198
  <=> sK6 = sdtasdt0(sz10,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_198])]) ).

fof(f14620,plain,
    ( ~ aNaturalNumber0(xn)
    | sK6 = sdtasdt0(xn,sK19(xn,sK6))
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_198
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14619,f13116]) ).

fof(f14619,plain,
    ( sK6 = sdtasdt0(xn,sK19(xn,sK6))
    | ~ aNaturalNumber0(sK6)
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_198
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14545,f13116]) ).

fof(f14545,plain,
    ( ~ aNaturalNumber0(sK6)
    | sK6 = sdtasdt0(sz10,sK19(sz10,sK6))
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_198
    | ~ spl21_618 ),
    inference(duplicate_literal_removal,[],[f14467]) ).

fof(f14467,plain,
    ( ~ aNaturalNumber0(sK6)
    | sK6 = sdtasdt0(sz10,sK19(sz10,sK6))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sK6)
    | ~ spl21_198
    | ~ spl21_618 ),
    inference(superposition,[],[f14242,f2001]) ).

fof(f2001,plain,
    ( sK6 = sdtasdt0(sz10,sK6)
    | ~ spl21_198 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f60517,plain,
    ( ~ spl21_2
    | spl21_1066
    | ~ spl21_5
    | ~ spl21_197
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(avatar_split_clause,[],[f14618,f14241,f13114,f1994,f362,f60514,f347]) ).

fof(f60514,plain,
    ( spl21_1066
  <=> xr = sdtasdt0(xn,sK19(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1066])]) ).

fof(f1994,plain,
    ( spl21_197
  <=> xr = sdtasdt0(sz10,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_197])]) ).

fof(f14618,plain,
    ( ~ aNaturalNumber0(xn)
    | xr = sdtasdt0(xn,sK19(xn,xr))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_197
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14617,f13116]) ).

fof(f14617,plain,
    ( xr = sdtasdt0(xn,sK19(xn,xr))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_197
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14546,f13116]) ).

fof(f14546,plain,
    ( ~ aNaturalNumber0(xr)
    | xr = sdtasdt0(sz10,sK19(sz10,xr))
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_197
    | ~ spl21_618 ),
    inference(duplicate_literal_removal,[],[f14466]) ).

fof(f14466,plain,
    ( ~ aNaturalNumber0(xr)
    | xr = sdtasdt0(sz10,sK19(sz10,xr))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_197
    | ~ spl21_618 ),
    inference(superposition,[],[f14242,f1996]) ).

fof(f1996,plain,
    ( xr = sdtasdt0(sz10,xr)
    | ~ spl21_197 ),
    inference(avatar_component_clause,[],[f1994]) ).

fof(f60439,plain,
    ( ~ spl21_1
    | spl21_1065
    | ~ spl21_5
    | ~ spl21_196
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(avatar_split_clause,[],[f14616,f14241,f13114,f1989,f362,f60436,f342]) ).

fof(f60436,plain,
    ( spl21_1065
  <=> xk = sdtasdt0(xn,sK19(xn,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1065])]) ).

fof(f14616,plain,
    ( ~ aNaturalNumber0(xn)
    | xk = sdtasdt0(xn,sK19(xn,xk))
    | ~ aNaturalNumber0(xk)
    | ~ spl21_196
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14615,f13116]) ).

fof(f14615,plain,
    ( xk = sdtasdt0(xn,sK19(xn,xk))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_196
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14547,f13116]) ).

fof(f14547,plain,
    ( ~ aNaturalNumber0(xk)
    | xk = sdtasdt0(sz10,sK19(sz10,xk))
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_196
    | ~ spl21_618 ),
    inference(duplicate_literal_removal,[],[f14465]) ).

fof(f14465,plain,
    ( ~ aNaturalNumber0(xk)
    | xk = sdtasdt0(sz10,sK19(sz10,xk))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_196
    | ~ spl21_618 ),
    inference(superposition,[],[f14242,f1991]) ).

fof(f60364,plain,
    ( ~ spl21_7
    | spl21_1064
    | ~ spl21_5
    | ~ spl21_195
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(avatar_split_clause,[],[f14614,f14241,f13114,f1984,f362,f60361,f372]) ).

fof(f60361,plain,
    ( spl21_1064
  <=> xp = sdtasdt0(xn,sK19(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1064])]) ).

fof(f14614,plain,
    ( ~ aNaturalNumber0(xn)
    | xp = sdtasdt0(xn,sK19(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ spl21_195
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14613,f13116]) ).

fof(f14613,plain,
    ( xp = sdtasdt0(xn,sK19(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_195
    | ~ spl21_596
    | ~ spl21_618 ),
    inference(forward_demodulation,[],[f14548,f13116]) ).

fof(f14548,plain,
    ( ~ aNaturalNumber0(xp)
    | xp = sdtasdt0(sz10,sK19(sz10,xp))
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_195
    | ~ spl21_618 ),
    inference(duplicate_literal_removal,[],[f14464]) ).

fof(f14464,plain,
    ( ~ aNaturalNumber0(xp)
    | xp = sdtasdt0(sz10,sK19(sz10,xp))
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_195
    | ~ spl21_618 ),
    inference(superposition,[],[f14242,f1986]) ).

fof(f60359,plain,
    ( spl21_1063
    | ~ spl21_374
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13784,f13114,f6012,f60357]) ).

fof(f60357,plain,
    ( spl21_1063
  <=> ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1063])]) ).

fof(f6012,plain,
    ( spl21_374
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_374])]) ).

fof(f13784,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xn = X0 )
    | ~ spl21_374
    | ~ spl21_596 ),
    inference(superposition,[],[f6013,f13116]) ).

fof(f6013,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sz10)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 )
    | ~ spl21_374 ),
    inference(avatar_component_clause,[],[f6012]) ).

fof(f60355,plain,
    ( spl21_1062
    | ~ spl21_373
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13783,f13114,f6008,f60353]) ).

fof(f60353,plain,
    ( spl21_1062
  <=> ! [X0] :
        ( iLess0(xn,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1062])]) ).

fof(f6008,plain,
    ( spl21_373
  <=> ! [X0] :
        ( iLess0(sz10,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_373])]) ).

fof(f13783,plain,
    ( ! [X0] :
        ( iLess0(xn,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xn = X0 )
    | ~ spl21_373
    | ~ spl21_596 ),
    inference(superposition,[],[f6009,f13116]) ).

fof(f6009,plain,
    ( ! [X0] :
        ( iLess0(sz10,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 )
    | ~ spl21_373 ),
    inference(avatar_component_clause,[],[f6008]) ).

fof(f60351,plain,
    ( spl21_1061
    | ~ spl21_93
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13750,f13114,f936,f60349]) ).

fof(f60349,plain,
    ( spl21_1061
  <=> ! [X0] :
        ( sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1061])]) ).

fof(f936,plain,
    ( spl21_93
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).

fof(f13750,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93
    | ~ spl21_596 ),
    inference(superposition,[],[f937,f13116]) ).

fof(f937,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f60313,plain,
    ( ~ spl21_12
    | ~ spl21_16
    | spl21_331
    | spl21_1060
    | ~ spl21_108
    | ~ spl21_202
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13890,f13114,f2019,f1083,f60310,f5793,f417,f397]) ).

fof(f1083,plain,
    ( spl21_108
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_108])]) ).

fof(f2019,plain,
    ( spl21_202
  <=> sK10 = sdtasdt0(sz10,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_202])]) ).

fof(f13890,plain,
    ( sdtlseqdt0(xn,sK10)
    | sz00 = sK10
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sK10)
    | ~ spl21_108
    | ~ spl21_202
    | ~ spl21_596 ),
    inference(forward_demodulation,[],[f3123,f13116]) ).

fof(f3123,plain,
    ( sdtlseqdt0(sz10,sK10)
    | sz00 = sK10
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sK10)
    | ~ spl21_108
    | ~ spl21_202 ),
    inference(superposition,[],[f1084,f2021]) ).

fof(f2021,plain,
    ( sK10 = sdtasdt0(sz10,sK10)
    | ~ spl21_202 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f1084,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_108 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f60304,plain,
    ( spl21_451
    | spl21_1059
    | ~ spl21_5
    | ~ spl21_180
    | ~ spl21_571
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13809,f13114,f11601,f1907,f362,f60301,f7070]) ).

fof(f11601,plain,
    ( spl21_571
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtsldt0(sdtasdt0(X1,X0),X1) = X0
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_571])]) ).

fof(f13809,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtsldt0(xn,xn)
    | sz00 = xn
    | ~ spl21_180
    | ~ spl21_571
    | ~ spl21_596 ),
    inference(duplicate_literal_removal,[],[f13808]) ).

fof(f13808,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtsldt0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | sz00 = xn
    | ~ spl21_180
    | ~ spl21_571
    | ~ spl21_596 ),
    inference(forward_demodulation,[],[f13807,f13116]) ).

fof(f13807,plain,
    ( xn = sdtsldt0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | sz00 = xn
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_180
    | ~ spl21_571
    | ~ spl21_596 ),
    inference(forward_demodulation,[],[f12281,f13116]) ).

fof(f12281,plain,
    ( ~ aNaturalNumber0(xn)
    | sz10 = sdtsldt0(xn,xn)
    | sz00 = xn
    | ~ aNaturalNumber0(sz10)
    | ~ spl21_180
    | ~ spl21_571 ),
    inference(duplicate_literal_removal,[],[f12229]) ).

fof(f12229,plain,
    ( ~ aNaturalNumber0(xn)
    | sz10 = sdtsldt0(xn,xn)
    | sz00 = xn
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_180
    | ~ spl21_571 ),
    inference(superposition,[],[f11602,f1909]) ).

fof(f11602,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | sdtsldt0(sdtasdt0(X1,X0),X1) = X0
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_571 ),
    inference(avatar_component_clause,[],[f11601]) ).

fof(f59774,plain,
    ( ~ spl21_1058
    | ~ spl21_596
    | spl21_940 ),
    inference(avatar_split_clause,[],[f59260,f38289,f13114,f59771]) ).

fof(f38289,plain,
    ( spl21_940
  <=> sz10 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_940])]) ).

fof(f59260,plain,
    ( xn != sK8
    | ~ spl21_596
    | spl21_940 ),
    inference(superposition,[],[f38290,f13116]) ).

fof(f38290,plain,
    ( sz10 != sK8
    | spl21_940 ),
    inference(avatar_component_clause,[],[f38289]) ).

fof(f59769,plain,
    ( spl21_1057
    | ~ spl21_596
    | ~ spl21_844 ),
    inference(avatar_split_clause,[],[f25684,f25681,f13114,f59767]) ).

fof(f59767,plain,
    ( spl21_1057
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xn
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz00 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1057])]) ).

fof(f25681,plain,
    ( spl21_844
  <=> ! [X0,X1] :
        ( doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_844])]) ).

fof(f25684,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xn
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz00 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_596
    | ~ spl21_844 ),
    inference(forward_demodulation,[],[f25682,f13116]) ).

fof(f25682,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_844 ),
    inference(avatar_component_clause,[],[f25681]) ).

fof(f59765,plain,
    ( spl21_1056
    | ~ spl21_596
    | ~ spl21_842 ),
    inference(avatar_split_clause,[],[f25511,f25508,f13114,f59763]) ).

fof(f59763,plain,
    ( spl21_1056
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xn
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz00 = sdtpldt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1056])]) ).

fof(f25508,plain,
    ( spl21_842
  <=> ! [X0,X1] :
        ( doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_842])]) ).

fof(f25511,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xn
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz00 = sdtpldt0(X0,X1) )
    | ~ spl21_596
    | ~ spl21_842 ),
    inference(forward_demodulation,[],[f25509,f13116]) ).

fof(f25509,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1) )
    | ~ spl21_842 ),
    inference(avatar_component_clause,[],[f25508]) ).

fof(f59619,plain,
    ( spl21_1055
    | ~ spl21_596
    | ~ spl21_771 ),
    inference(avatar_split_clause,[],[f20135,f20132,f13114,f59617]) ).

fof(f59617,plain,
    ( spl21_1055
  <=> ! [X2,X0,X1] :
        ( xn = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1055])]) ).

fof(f20132,plain,
    ( spl21_771
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_771])]) ).

fof(f20135,plain,
    ( ! [X2,X0,X1] :
        ( xn = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_596
    | ~ spl21_771 ),
    inference(forward_demodulation,[],[f20133,f13116]) ).

fof(f20133,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_771 ),
    inference(avatar_component_clause,[],[f20132]) ).

fof(f59615,plain,
    ( spl21_1054
    | ~ spl21_596
    | ~ spl21_769 ),
    inference(avatar_split_clause,[],[f20086,f20083,f13114,f59613]) ).

fof(f59613,plain,
    ( spl21_1054
  <=> ! [X2,X0,X1] :
        ( xn = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1054])]) ).

fof(f20083,plain,
    ( spl21_769
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_769])]) ).

fof(f20086,plain,
    ( ! [X2,X0,X1] :
        ( xn = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_596
    | ~ spl21_769 ),
    inference(forward_demodulation,[],[f20084,f13116]) ).

fof(f20084,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_769 ),
    inference(avatar_component_clause,[],[f20083]) ).

fof(f59611,plain,
    ( spl21_1053
    | ~ spl21_596
    | ~ spl21_766 ),
    inference(avatar_split_clause,[],[f20031,f20028,f13114,f59609]) ).

fof(f59609,plain,
    ( spl21_1053
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1053])]) ).

fof(f20028,plain,
    ( spl21_766
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_766])]) ).

fof(f20031,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_596
    | ~ spl21_766 ),
    inference(forward_demodulation,[],[f20029,f13116]) ).

fof(f20029,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2))) )
    | ~ spl21_766 ),
    inference(avatar_component_clause,[],[f20028]) ).

fof(f59607,plain,
    ( spl21_1052
    | ~ spl21_596
    | ~ spl21_764 ),
    inference(avatar_split_clause,[],[f19982,f19979,f13114,f59605]) ).

fof(f59605,plain,
    ( spl21_1052
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1052])]) ).

fof(f19979,plain,
    ( spl21_764
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_764])]) ).

fof(f19982,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 )
    | ~ spl21_596
    | ~ spl21_764 ),
    inference(forward_demodulation,[],[f19980,f13116]) ).

fof(f19980,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_764 ),
    inference(avatar_component_clause,[],[f19979]) ).

fof(f59603,plain,
    ( ~ spl21_1051
    | ~ spl21_596
    | spl21_938 ),
    inference(avatar_split_clause,[],[f59259,f38264,f13114,f59600]) ).

fof(f38264,plain,
    ( spl21_938
  <=> sz10 = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_938])]) ).

fof(f59259,plain,
    ( xn != sK9
    | ~ spl21_596
    | spl21_938 ),
    inference(superposition,[],[f38265,f13116]) ).

fof(f38265,plain,
    ( sz10 != sK9
    | spl21_938 ),
    inference(avatar_component_clause,[],[f38264]) ).

fof(f59454,plain,
    ( spl21_1050
    | ~ spl21_596
    | ~ spl21_737 ),
    inference(avatar_split_clause,[],[f18754,f18751,f13114,f59452]) ).

fof(f59452,plain,
    ( spl21_1050
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1050])]) ).

fof(f18751,plain,
    ( spl21_737
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_737])]) ).

fof(f18754,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_596
    | ~ spl21_737 ),
    inference(forward_demodulation,[],[f18752,f13116]) ).

fof(f18752,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2))) )
    | ~ spl21_737 ),
    inference(avatar_component_clause,[],[f18751]) ).

fof(f59450,plain,
    ( spl21_1049
    | ~ spl21_596
    | ~ spl21_735 ),
    inference(avatar_split_clause,[],[f18705,f18702,f13114,f59448]) ).

fof(f59448,plain,
    ( spl21_1049
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1049])]) ).

fof(f18702,plain,
    ( spl21_735
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_735])]) ).

fof(f18705,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 )
    | ~ spl21_596
    | ~ spl21_735 ),
    inference(forward_demodulation,[],[f18703,f13116]) ).

fof(f18703,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_735 ),
    inference(avatar_component_clause,[],[f18702]) ).

fof(f59446,plain,
    ( spl21_1048
    | ~ spl21_596
    | ~ spl21_732 ),
    inference(avatar_split_clause,[],[f18650,f18647,f13114,f59444]) ).

fof(f59444,plain,
    ( spl21_1048
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1048])]) ).

fof(f18647,plain,
    ( spl21_732
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_732])]) ).

fof(f18650,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_596
    | ~ spl21_732 ),
    inference(forward_demodulation,[],[f18648,f13116]) ).

fof(f18648,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2))) )
    | ~ spl21_732 ),
    inference(avatar_component_clause,[],[f18647]) ).

fof(f59442,plain,
    ( spl21_1047
    | ~ spl21_596
    | ~ spl21_730 ),
    inference(avatar_split_clause,[],[f18601,f18598,f13114,f59440]) ).

fof(f59440,plain,
    ( spl21_1047
  <=> ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1047])]) ).

fof(f18598,plain,
    ( spl21_730
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_730])]) ).

fof(f18601,plain,
    ( ! [X2,X0,X1] :
        ( xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz00 = X2 )
    | ~ spl21_596
    | ~ spl21_730 ),
    inference(forward_demodulation,[],[f18599,f13116]) ).

fof(f18599,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_730 ),
    inference(avatar_component_clause,[],[f18598]) ).

fof(f59430,plain,
    ( ~ spl21_1046
    | ~ spl21_596
    | spl21_934 ),
    inference(avatar_split_clause,[],[f59257,f38214,f13114,f59427]) ).

fof(f59257,plain,
    ( xn != sK11
    | ~ spl21_596
    | spl21_934 ),
    inference(superposition,[],[f38215,f13116]) ).

fof(f38215,plain,
    ( sz10 != sK11
    | spl21_934 ),
    inference(avatar_component_clause,[],[f38214]) ).

fof(f59425,plain,
    ( spl21_1045
    | ~ spl21_596
    | ~ spl21_695 ),
    inference(avatar_split_clause,[],[f17649,f17646,f13114,f59423]) ).

fof(f59423,plain,
    ( spl21_1045
  <=> ! [X0,X1] :
        ( xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1045])]) ).

fof(f17646,plain,
    ( spl21_695
  <=> ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_695])]) ).

fof(f17649,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_596
    | ~ spl21_695 ),
    inference(forward_demodulation,[],[f17647,f13116]) ).

fof(f17647,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,sK17(X1))
        | doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_695 ),
    inference(avatar_component_clause,[],[f17646]) ).

fof(f59421,plain,
    ( spl21_1044
    | ~ spl21_596
    | ~ spl21_689 ),
    inference(avatar_split_clause,[],[f17258,f17255,f13114,f59419]) ).

fof(f59419,plain,
    ( spl21_1044
  <=> ! [X0] :
        ( xn = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1044])]) ).

fof(f17255,plain,
    ( spl21_689
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_689])]) ).

fof(f17258,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_596
    | ~ spl21_689 ),
    inference(forward_demodulation,[],[f17256,f13116]) ).

fof(f17256,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK17(X0))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_689 ),
    inference(avatar_component_clause,[],[f17255]) ).

fof(f59413,plain,
    ( spl21_1043
    | ~ spl21_596
    | ~ spl21_656 ),
    inference(avatar_split_clause,[],[f15911,f15907,f13114,f59411]) ).

fof(f59411,plain,
    ( spl21_1043
  <=> ! [X0] :
        ( xn = X0
        | xn = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1043])]) ).

fof(f15907,plain,
    ( spl21_656
  <=> ! [X0] :
        ( sz10 = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_656])]) ).

fof(f15911,plain,
    ( ! [X0] :
        ( xn = X0
        | xn = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_596
    | ~ spl21_656 ),
    inference(forward_demodulation,[],[f15910,f13116]) ).

fof(f15910,plain,
    ( ! [X0] :
        ( xn = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_596
    | ~ spl21_656 ),
    inference(forward_demodulation,[],[f15908,f13116]) ).

fof(f15908,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK18(X0))
        | sK18(X0) = X0
        | sz10 = sK18(X0)
        | ~ sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_656 ),
    inference(avatar_component_clause,[],[f15907]) ).

fof(f59401,plain,
    ( spl21_1042
    | ~ spl21_596
    | ~ spl21_652 ),
    inference(avatar_split_clause,[],[f15513,f15510,f13114,f59399]) ).

fof(f59399,plain,
    ( spl21_1042
  <=> ! [X0,X1] :
        ( xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1042])]) ).

fof(f15510,plain,
    ( spl21_652
  <=> ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_652])]) ).

fof(f15513,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1 )
    | ~ spl21_596
    | ~ spl21_652 ),
    inference(forward_demodulation,[],[f15511,f13116]) ).

fof(f15511,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,sK18(X1))
        | doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_652 ),
    inference(avatar_component_clause,[],[f15510]) ).

fof(f59397,plain,
    ( spl21_1041
    | ~ spl21_596
    | ~ spl21_650 ),
    inference(avatar_split_clause,[],[f15497,f15494,f13114,f59395]) ).

fof(f59395,plain,
    ( spl21_1041
  <=> ! [X0] :
        ( xn = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1041])]) ).

fof(f15494,plain,
    ( spl21_650
  <=> ! [X0] :
        ( sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_650])]) ).

fof(f15497,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz00 = X0 )
    | ~ spl21_596
    | ~ spl21_650 ),
    inference(forward_demodulation,[],[f15495,f13116]) ).

fof(f15495,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK18(X0))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_650 ),
    inference(avatar_component_clause,[],[f15494]) ).

fof(f59321,plain,
    ( ~ spl21_1040
    | ~ spl21_596
    | spl21_932 ),
    inference(avatar_split_clause,[],[f59256,f38116,f13114,f59318]) ).

fof(f38116,plain,
    ( spl21_932
  <=> sz10 = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_932])]) ).

fof(f59256,plain,
    ( xn != sK12
    | ~ spl21_596
    | spl21_932 ),
    inference(superposition,[],[f38117,f13116]) ).

fof(f38117,plain,
    ( sz10 != sK12
    | spl21_932 ),
    inference(avatar_component_clause,[],[f38116]) ).

fof(f59279,plain,
    ( spl21_1039
    | ~ spl21_596
    | ~ spl21_616 ),
    inference(avatar_split_clause,[],[f14194,f14191,f13114,f59277]) ).

fof(f14194,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_596
    | ~ spl21_616 ),
    inference(forward_demodulation,[],[f14192,f13116]) ).

fof(f59275,plain,
    ( spl21_1038
    | ~ spl21_596
    | ~ spl21_614 ),
    inference(avatar_split_clause,[],[f14145,f14142,f13114,f59273]) ).

fof(f14142,plain,
    ( spl21_614
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_614])]) ).

fof(f14145,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_596
    | ~ spl21_614 ),
    inference(forward_demodulation,[],[f14143,f13116]) ).

fof(f14143,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_614 ),
    inference(avatar_component_clause,[],[f14142]) ).

fof(f59271,plain,
    ( spl21_1037
    | ~ spl21_596
    | ~ spl21_612 ),
    inference(avatar_split_clause,[],[f14089,f14086,f13114,f59269]) ).

fof(f14089,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_596
    | ~ spl21_612 ),
    inference(forward_demodulation,[],[f14087,f13116]) ).

fof(f58902,plain,
    ( spl21_1036
    | ~ spl21_248
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30164,f13118,f3971,f58899]) ).

fof(f58899,plain,
    ( spl21_1036
  <=> sz00 = sdtasdt0(sK15(xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1036])]) ).

fof(f3971,plain,
    ( spl21_248
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sK15(X0),sz00)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_248])]) ).

fof(f30164,plain,
    ( sz00 = sdtasdt0(sK15(xn),sz00)
    | ~ spl21_248
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f3972]) ).

fof(f3972,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sz00 = sdtasdt0(sK15(X0),sz00) )
    | ~ spl21_248 ),
    inference(avatar_component_clause,[],[f3971]) ).

fof(f13120,plain,
    ( sP1(xn)
    | ~ spl21_597 ),
    inference(avatar_component_clause,[],[f13118]) ).

fof(f57969,plain,
    ( ~ spl21_1035
    | spl21_513
    | ~ spl21_1030 ),
    inference(avatar_split_clause,[],[f52672,f50439,f9535,f57966]) ).

fof(f57966,plain,
    ( spl21_1035
  <=> doDivides0(xn,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1035])]) ).

fof(f9535,plain,
    ( spl21_513
  <=> doDivides0(sdtpldt0(xn,xm),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_513])]) ).

fof(f52672,plain,
    ( ~ doDivides0(xn,sK6)
    | spl21_513
    | ~ spl21_1030 ),
    inference(superposition,[],[f9536,f50441]) ).

fof(f9536,plain,
    ( ~ doDivides0(sdtpldt0(xn,xm),sK6)
    | spl21_513 ),
    inference(avatar_component_clause,[],[f9535]) ).

fof(f53145,plain,
    ( spl21_1034
    | ~ spl21_263
    | ~ spl21_1030 ),
    inference(avatar_split_clause,[],[f52646,f50439,f4150,f53142]) ).

fof(f53142,plain,
    ( spl21_1034
  <=> doDivides0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1034])]) ).

fof(f4150,plain,
    ( spl21_263
  <=> doDivides0(sdtpldt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_263])]) ).

fof(f52646,plain,
    ( doDivides0(xn,sz00)
    | ~ spl21_263
    | ~ spl21_1030 ),
    inference(superposition,[],[f4152,f50441]) ).

fof(f4152,plain,
    ( doDivides0(sdtpldt0(xn,xm),sz00)
    | ~ spl21_263 ),
    inference(avatar_component_clause,[],[f4150]) ).

fof(f51520,plain,
    ( ~ spl21_6
    | ~ spl21_5
    | spl21_325
    | spl21_1033
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f5772,f4175,f1619,f670,f407,f51518,f5673,f362,f367]) ).

fof(f51518,plain,
    ( spl21_1033
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1033])]) ).

fof(f1619,plain,
    ( spl21_142
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_142])]) ).

fof(f5772,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(sK11,xr))
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sz00 = xm
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1645,f4728]) ).

fof(f1645,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sz00 = xm
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_65
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f672]) ).

fof(f1620,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_142 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f51473,plain,
    ( ~ spl21_6
    | ~ spl21_5
    | spl21_325
    | spl21_1032
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f5771,f4175,f1619,f670,f407,f51471,f5673,f362,f367]) ).

fof(f51471,plain,
    ( spl21_1032
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1032])]) ).

fof(f5771,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,xm))
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1641,f4728]) ).

fof(f1641,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(X0,xm))
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_65
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f672]) ).

fof(f50637,plain,
    ( spl21_1031
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_978 ),
    inference(avatar_split_clause,[],[f39211,f39170,f535,f377,f50634]) ).

fof(f50634,plain,
    ( spl21_1031
  <=> xp = sdtpldt0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1031])]) ).

fof(f39211,plain,
    ( xp = sdtpldt0(xp,xm)
    | ~ spl21_8
    | ~ spl21_37
    | ~ spl21_978 ),
    inference(forward_demodulation,[],[f39189,f537]) ).

fof(f39189,plain,
    ( sdtpldt0(xn,sK8) = sdtpldt0(sdtpldt0(xn,sK8),xm)
    | ~ spl21_8
    | ~ spl21_978 ),
    inference(resolution,[],[f39171,f379]) ).

fof(f50442,plain,
    ( spl21_1030
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978 ),
    inference(avatar_split_clause,[],[f39202,f39170,f2039,f412,f50439]) ).

fof(f50140,plain,
    ( spl21_1029
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1028 ),
    inference(avatar_split_clause,[],[f50136,f50132,f39170,f4086,f2039,f412,f372,f50138]) ).

fof(f50138,plain,
    ( spl21_1029
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1029])]) ).

fof(f50136,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1028 ),
    inference(forward_demodulation,[],[f50135,f4232]) ).

fof(f50135,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1028 ),
    inference(forward_demodulation,[],[f50133,f39202]) ).

fof(f50134,plain,
    ( spl21_1028
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_907 ),
    inference(avatar_split_clause,[],[f49075,f33529,f4964,f4175,f4114,f407,f342,f50132]) ).

fof(f33529,plain,
    ( spl21_907
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_907])]) ).

fof(f49075,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f48672,f4293]) ).

fof(f48672,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33532,f4966]) ).

fof(f33532,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33530,f4728]) ).

fof(f33530,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_907 ),
    inference(avatar_component_clause,[],[f33529]) ).

fof(f49935,plain,
    ( spl21_1027
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1026 ),
    inference(avatar_split_clause,[],[f49931,f49927,f39170,f4086,f2039,f412,f372,f49933]) ).

fof(f49933,plain,
    ( spl21_1027
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1027])]) ).

fof(f49931,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1026 ),
    inference(forward_demodulation,[],[f49930,f4232]) ).

fof(f49930,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1026 ),
    inference(forward_demodulation,[],[f49928,f39202]) ).

fof(f49929,plain,
    ( spl21_1026
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_909 ),
    inference(avatar_split_clause,[],[f49074,f33729,f4964,f4175,f4114,f407,f397,f49927]) ).

fof(f33729,plain,
    ( spl21_909
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_909])]) ).

fof(f49074,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f48676,f4299]) ).

fof(f48676,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33732,f4966]) ).

fof(f33732,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33730,f4728]) ).

fof(f33730,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_909 ),
    inference(avatar_component_clause,[],[f33729]) ).

fof(f49718,plain,
    ( spl21_1025
    | ~ spl21_6
    | ~ spl21_923
    | ~ spl21_971 ),
    inference(avatar_split_clause,[],[f39087,f39048,f35157,f367,f49715]) ).

fof(f35157,plain,
    ( spl21_923
  <=> xm = sdtasdt0(sdtpldt0(xr,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_923])]) ).

fof(f39048,plain,
    ( spl21_971
  <=> ! [X0] :
        ( xm = sdtasdt0(xm,sdtasdt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_971])]) ).

fof(f39087,plain,
    ( xm = sdtasdt0(xm,xm)
    | ~ spl21_6
    | ~ spl21_923
    | ~ spl21_971 ),
    inference(forward_demodulation,[],[f39061,f35159]) ).

fof(f35159,plain,
    ( xm = sdtasdt0(sdtpldt0(xr,xn),xm)
    | ~ spl21_923 ),
    inference(avatar_component_clause,[],[f35157]) ).

fof(f39061,plain,
    ( xm = sdtasdt0(xm,sdtasdt0(sdtpldt0(xr,xn),xm))
    | ~ spl21_6
    | ~ spl21_971 ),
    inference(resolution,[],[f39049,f369]) ).

fof(f39049,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | xm = sdtasdt0(xm,sdtasdt0(sdtpldt0(xr,xn),X0)) )
    | ~ spl21_971 ),
    inference(avatar_component_clause,[],[f39048]) ).

fof(f49713,plain,
    ( spl21_1024
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1023 ),
    inference(avatar_split_clause,[],[f49709,f49705,f39170,f4086,f2039,f412,f372,f49711]) ).

fof(f49711,plain,
    ( spl21_1024
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1024])]) ).

fof(f49709,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1023 ),
    inference(forward_demodulation,[],[f49708,f4232]) ).

fof(f49708,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1023 ),
    inference(forward_demodulation,[],[f49706,f39202]) ).

fof(f49707,plain,
    ( spl21_1023
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_905 ),
    inference(avatar_split_clause,[],[f48669,f33387,f4964,f4175,f407,f49705]) ).

fof(f33387,plain,
    ( spl21_905
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_905])]) ).

fof(f48669,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33390,f4966]) ).

fof(f33390,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33388,f4728]) ).

fof(f33388,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) )
    | ~ spl21_905 ),
    inference(avatar_component_clause,[],[f33387]) ).

fof(f49512,plain,
    ( spl21_1022
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1021 ),
    inference(avatar_split_clause,[],[f49508,f49504,f39170,f4086,f2039,f412,f372,f49510]) ).

fof(f49510,plain,
    ( spl21_1022
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1022])]) ).

fof(f49508,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1021 ),
    inference(forward_demodulation,[],[f49507,f4232]) ).

fof(f49507,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1021 ),
    inference(forward_demodulation,[],[f49505,f39202]) ).

fof(f49506,plain,
    ( spl21_1021
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_862 ),
    inference(avatar_split_clause,[],[f49076,f29451,f4964,f4122,f352,f49504]) ).

fof(f29451,plain,
    ( spl21_862
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_862])]) ).

fof(f49076,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f48597,f4354]) ).

fof(f48597,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29452,f4966]) ).

fof(f29452,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) )
    | ~ spl21_862 ),
    inference(avatar_component_clause,[],[f29451]) ).

fof(f49489,plain,
    ( spl21_1020
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1019 ),
    inference(avatar_split_clause,[],[f49485,f49481,f39170,f4086,f2039,f412,f372,f49487]) ).

fof(f49487,plain,
    ( spl21_1020
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1020])]) ).

fof(f49485,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1019 ),
    inference(forward_demodulation,[],[f49484,f4232]) ).

fof(f49484,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,xn))
        | ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1019 ),
    inference(forward_demodulation,[],[f49482,f39202]) ).

fof(f49483,plain,
    ( spl21_1019
    | ~ spl21_13
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_836 ),
    inference(avatar_split_clause,[],[f49126,f23250,f4964,f4175,f402,f49481]) ).

fof(f23250,plain,
    ( spl21_836
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_836])]) ).

fof(f49126,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_13
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23253,f4729]) ).

fof(f23253,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23251,f4966]) ).

fof(f23251,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_836 ),
    inference(avatar_component_clause,[],[f23250]) ).

fof(f49474,plain,
    ( spl21_1003
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1018 ),
    inference(avatar_split_clause,[],[f49409,f49405,f39170,f4086,f2039,f412,f372,f49070]) ).

fof(f49070,plain,
    ( spl21_1003
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1003])]) ).

fof(f49409,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_978
    | ~ spl21_1018 ),
    inference(forward_demodulation,[],[f49408,f4232]) ).

fof(f49408,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_15
    | ~ spl21_206
    | ~ spl21_978
    | ~ spl21_1018 ),
    inference(forward_demodulation,[],[f49406,f39202]) ).

fof(f49407,plain,
    ( spl21_1018
    | ~ spl21_10
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_833 ),
    inference(avatar_split_clause,[],[f49125,f23230,f4964,f4171,f387,f49405]) ).

fof(f23230,plain,
    ( spl21_833
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_833])]) ).

fof(f49125,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_10
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23233,f4696]) ).

fof(f23233,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_281
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23231,f4966]) ).

fof(f23231,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_833 ),
    inference(avatar_component_clause,[],[f23230]) ).

fof(f49401,plain,
    ( spl21_1017
    | ~ spl21_9
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_831 ),
    inference(avatar_split_clause,[],[f49124,f23214,f4964,f4163,f382,f49399]) ).

fof(f23214,plain,
    ( spl21_831
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_831])]) ).

fof(f49124,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_9
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23217,f4628]) ).

fof(f23217,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_281
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23215,f4966]) ).

fof(f23215,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_831 ),
    inference(avatar_component_clause,[],[f23214]) ).

fof(f49395,plain,
    ( spl21_1016
    | ~ spl21_8
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_829 ),
    inference(avatar_split_clause,[],[f49123,f23198,f4964,f4159,f377,f49393]) ).

fof(f49393,plain,
    ( spl21_1016
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1016])]) ).

fof(f23198,plain,
    ( spl21_829
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_829])]) ).

fof(f49123,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_8
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23201,f4598]) ).

fof(f23201,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_281
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23199,f4966]) ).

fof(f23199,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_829 ),
    inference(avatar_component_clause,[],[f23198]) ).

fof(f49389,plain,
    ( spl21_1015
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_822 ),
    inference(avatar_split_clause,[],[f49113,f22782,f4964,f4175,f4114,f407,f397,f49387]) ).

fof(f22782,plain,
    ( spl21_822
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_822])]) ).

fof(f49113,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22786,f4299]) ).

fof(f22786,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22785,f4966]) ).

fof(f22785,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22783,f4728]) ).

fof(f22783,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_822 ),
    inference(avatar_component_clause,[],[f22782]) ).

fof(f49383,plain,
    ( spl21_1014
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_820 ),
    inference(avatar_split_clause,[],[f49111,f22614,f4964,f4175,f4114,f407,f342,f49381]) ).

fof(f22614,plain,
    ( spl21_820
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_820])]) ).

fof(f49111,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1
    | ~ spl21_14
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22618,f4293]) ).

fof(f22618,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22617,f4966]) ).

fof(f22617,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22615,f4728]) ).

fof(f22615,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_820 ),
    inference(avatar_component_clause,[],[f22614]) ).

fof(f49377,plain,
    ( spl21_1013
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_817 ),
    inference(avatar_split_clause,[],[f22437,f22433,f4964,f4175,f407,f49375]) ).

fof(f22433,plain,
    ( spl21_817
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_817])]) ).

fof(f22437,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_817 ),
    inference(forward_demodulation,[],[f22436,f4966]) ).

fof(f22436,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_817 ),
    inference(forward_demodulation,[],[f22434,f4728]) ).

fof(f22434,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) )
    | ~ spl21_817 ),
    inference(avatar_component_clause,[],[f22433]) ).

fof(f49371,plain,
    ( spl21_1012
    | ~ spl21_281
    | ~ spl21_792 ),
    inference(avatar_split_clause,[],[f21094,f21091,f4964,f49369]) ).

fof(f21091,plain,
    ( spl21_792
  <=> ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_792])]) ).

fof(f21094,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_281
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21092,f4966]) ).

fof(f21092,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_792 ),
    inference(avatar_component_clause,[],[f21091]) ).

fof(f49365,plain,
    ( spl21_1011
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_808 ),
    inference(avatar_split_clause,[],[f49098,f21551,f4964,f4122,f352,f49363]) ).

fof(f21551,plain,
    ( spl21_808
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_808])]) ).

fof(f49098,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_3
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_808 ),
    inference(forward_demodulation,[],[f21554,f4354]) ).

fof(f21554,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_808 ),
    inference(forward_demodulation,[],[f21552,f4966]) ).

fof(f21552,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) )
    | ~ spl21_808 ),
    inference(avatar_component_clause,[],[f21551]) ).

fof(f49291,plain,
    ( spl21_1010
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_826 ),
    inference(avatar_split_clause,[],[f22962,f22958,f4964,f4175,f407,f49289]) ).

fof(f22958,plain,
    ( spl21_826
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_826])]) ).

fof(f22962,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_826 ),
    inference(forward_demodulation,[],[f22961,f4966]) ).

fof(f22961,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xp) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_826 ),
    inference(forward_demodulation,[],[f22959,f4728]) ).

fof(f22959,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xp) )
    | ~ spl21_826 ),
    inference(avatar_component_clause,[],[f22958]) ).

fof(f49285,plain,
    ( spl21_1009
    | ~ spl21_281
    | ~ spl21_810 ),
    inference(avatar_split_clause,[],[f21699,f21696,f4964,f49283]) ).

fof(f21696,plain,
    ( spl21_810
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_810])]) ).

fof(f21699,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_281
    | ~ spl21_810 ),
    inference(forward_demodulation,[],[f21697,f4966]) ).

fof(f21697,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xr) )
    | ~ spl21_810 ),
    inference(avatar_component_clause,[],[f21696]) ).

fof(f49279,plain,
    ( spl21_1008
    | ~ spl21_13
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_780 ),
    inference(avatar_split_clause,[],[f49097,f20332,f4964,f4175,f402,f49277]) ).

fof(f49277,plain,
    ( spl21_1008
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1008])]) ).

fof(f20332,plain,
    ( spl21_780
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_780])]) ).

fof(f49097,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_13
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_780 ),
    inference(forward_demodulation,[],[f20335,f4729]) ).

fof(f20335,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_780 ),
    inference(forward_demodulation,[],[f20333,f4966]) ).

fof(f20333,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_780 ),
    inference(avatar_component_clause,[],[f20332]) ).

fof(f49273,plain,
    ( spl21_1007
    | ~ spl21_10
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_778 ),
    inference(avatar_split_clause,[],[f49096,f20314,f4964,f4171,f387,f49271]) ).

fof(f20314,plain,
    ( spl21_778
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_778])]) ).

fof(f49096,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_10
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_778 ),
    inference(forward_demodulation,[],[f20317,f4696]) ).

fof(f20317,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_281
    | ~ spl21_778 ),
    inference(forward_demodulation,[],[f20315,f4966]) ).

fof(f20315,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_778 ),
    inference(avatar_component_clause,[],[f20314]) ).

fof(f49267,plain,
    ( spl21_1006
    | ~ spl21_9
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_776 ),
    inference(avatar_split_clause,[],[f49095,f20295,f4964,f4163,f382,f49265]) ).

fof(f20295,plain,
    ( spl21_776
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_776])]) ).

fof(f49095,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_9
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20298,f4628]) ).

fof(f20298,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_281
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20296,f4966]) ).

fof(f20296,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_776 ),
    inference(avatar_component_clause,[],[f20295]) ).

fof(f49261,plain,
    ( spl21_1005
    | ~ spl21_8
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_773 ),
    inference(avatar_split_clause,[],[f49094,f20271,f4964,f4159,f377,f49259]) ).

fof(f20271,plain,
    ( spl21_773
  <=> ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_773])]) ).

fof(f49094,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_8
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20274,f4598]) ).

fof(f20274,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_281
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20272,f4966]) ).

fof(f20272,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_773 ),
    inference(avatar_component_clause,[],[f20271]) ).

fof(f49255,plain,
    ( spl21_1004
    | ~ spl21_281
    | ~ spl21_707 ),
    inference(avatar_split_clause,[],[f17971,f17968,f4964,f49253]) ).

fof(f17968,plain,
    ( spl21_707
  <=> ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_707])]) ).

fof(f17971,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_281
    | ~ spl21_707 ),
    inference(forward_demodulation,[],[f17969,f4966]) ).

fof(f17969,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_707 ),
    inference(avatar_component_clause,[],[f17968]) ).

fof(f49072,plain,
    ( spl21_1003
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_833
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f48501,f39376,f23230,f4964,f4171,f4086,f2120,f412,f387,f372,f49070]) ).

fof(f2120,plain,
    ( spl21_218
  <=> xn = sdtpldt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_218])]) ).

fof(f39376,plain,
    ( spl21_987
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_987])]) ).

fof(f48501,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_833
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46514,f4696]) ).

fof(f46514,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_833
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46513,f4232]) ).

fof(f46513,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_281
    | ~ spl21_833
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f23233,f39408]) ).

fof(f39408,plain,
    ( xn = sdtpldt0(xn,xm)
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f39379,f2122]) ).

fof(f2122,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl21_218 ),
    inference(avatar_component_clause,[],[f2120]) ).

fof(f39379,plain,
    ( sdtpldt0(sz00,xn) = sdtpldt0(sdtpldt0(sz00,xn),xm)
    | ~ spl21_15
    | ~ spl21_987 ),
    inference(resolution,[],[f39377,f414]) ).

fof(f39377,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),xm) )
    | ~ spl21_987 ),
    inference(avatar_component_clause,[],[f39376]) ).

fof(f49068,plain,
    ( spl21_1002
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_831
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f48500,f39376,f23214,f4964,f4163,f4086,f2120,f412,f382,f372,f49066]) ).

fof(f49066,plain,
    ( spl21_1002
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1002])]) ).

fof(f48500,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_831
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46518,f4628]) ).

fof(f46518,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_831
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46517,f4232]) ).

fof(f46517,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_281
    | ~ spl21_831
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f23217,f39408]) ).

fof(f49064,plain,
    ( ~ spl21_325
    | spl21_415
    | ~ spl21_929 ),
    inference(avatar_split_clause,[],[f38384,f37699,f6899,f5673]) ).

fof(f6899,plain,
    ( spl21_415
  <=> sz00 = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_415])]) ).

fof(f38384,plain,
    ( sz00 != xm
    | spl21_415
    | ~ spl21_929 ),
    inference(superposition,[],[f6901,f37701]) ).

fof(f6901,plain,
    ( sz00 != sdtasdt0(xr,sK11)
    | spl21_415 ),
    inference(avatar_component_clause,[],[f6899]) ).

fof(f49063,plain,
    ( spl21_1001
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_829
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f48499,f39376,f23198,f4964,f4159,f4086,f2120,f412,f377,f372,f49061]) ).

fof(f49061,plain,
    ( spl21_1001
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1001])]) ).

fof(f48499,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_829
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46523,f4598]) ).

fof(f46523,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_829
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46522,f4232]) ).

fof(f46522,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_281
    | ~ spl21_829
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f23201,f39408]) ).

fof(f48915,plain,
    ( spl21_1000
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_792
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f46955,f39376,f21091,f4964,f4086,f2120,f412,f372,f48913]) ).

fof(f48913,plain,
    ( spl21_1000
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1000])]) ).

fof(f46955,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_792
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f46954,f4232]) ).

fof(f46954,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,xn))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_281
    | ~ spl21_792
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f21094,f39408]) ).

fof(f48906,plain,
    ( spl21_999
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_776
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f47082,f39376,f20295,f4964,f4163,f4086,f2120,f412,f382,f372,f48904]) ).

fof(f48904,plain,
    ( spl21_999
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_999])]) ).

fof(f47082,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_776
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f47081,f4628]) ).

fof(f47081,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_776
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f47080,f4232]) ).

fof(f47080,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_15
    | ~ spl21_218
    | ~ spl21_281
    | ~ spl21_776
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f20298,f39408]) ).

fof(f48375,plain,
    ( spl21_998
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_266
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_641
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f47789,f39376,f39296,f17684,f15269,f9308,f6593,f4163,f2125,f2120,f1768,f412,f367,f342,f48372]) ).

fof(f48372,plain,
    ( spl21_998
  <=> sdtasdt0(xm,sK6) = sdtsldt0(xm,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_998])]) ).

fof(f1768,plain,
    ( spl21_155
  <=> sz00 = sdtasdt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_155])]) ).

fof(f2125,plain,
    ( spl21_219
  <=> xm = sdtpldt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_219])]) ).

fof(f9308,plain,
    ( spl21_506
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_506])]) ).

fof(f39296,plain,
    ( spl21_983
  <=> ! [X0] :
        ( sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_983])]) ).

fof(f47789,plain,
    ( sdtasdt0(xm,sK6) = sdtsldt0(xm,xr)
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_266
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_641
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f15319,f40066]) ).

fof(f40066,plain,
    ( xm = sdtasdt0(xk,xm)
    | ~ spl21_1
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f40065,f17686]) ).

fof(f40065,plain,
    ( xm = sdtasdt0(sdtasdt0(xk,xn),xm)
    | ~ spl21_1
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f40064,f39408]) ).

fof(f40064,plain,
    ( xm = sdtasdt0(sdtasdt0(xk,sdtpldt0(xn,xm)),xm)
    | ~ spl21_1
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_219
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_983 ),
    inference(forward_demodulation,[],[f40063,f6595]) ).

fof(f40063,plain,
    ( xm = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),xk),xm)
    | ~ spl21_1
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_219
    | ~ spl21_506
    | ~ spl21_983 ),
    inference(forward_demodulation,[],[f37819,f39329]) ).

fof(f39329,plain,
    ( sz00 = xm
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_219
    | ~ spl21_983 ),
    inference(forward_demodulation,[],[f39328,f2127]) ).

fof(f2127,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl21_219 ),
    inference(avatar_component_clause,[],[f2125]) ).

fof(f39328,plain,
    ( sz00 = sdtpldt0(sz00,xm)
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_983 ),
    inference(forward_demodulation,[],[f39299,f1770]) ).

fof(f1770,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl21_155 ),
    inference(avatar_component_clause,[],[f1768]) ).

fof(f39299,plain,
    ( sdtasdt0(xn,sz00) = sdtpldt0(sdtasdt0(xn,sz00),xm)
    | ~ spl21_15
    | ~ spl21_983 ),
    inference(resolution,[],[f39297,f414]) ).

fof(f39297,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),xm) )
    | ~ spl21_983 ),
    inference(avatar_component_clause,[],[f39296]) ).

fof(f37819,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),xk),sz00)
    | ~ spl21_1
    | ~ spl21_506 ),
    inference(resolution,[],[f9309,f344]) ).

fof(f9309,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_506 ),
    inference(avatar_component_clause,[],[f9308]) ).

fof(f15319,plain,
    ( sdtasdt0(xm,sK6) = sdtsldt0(sdtasdt0(xk,xm),xr)
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_266
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15282,f4625]) ).

fof(f4625,plain,
    ( sdtasdt0(xk,xm) = sdtasdt0(xm,xk)
    | ~ spl21_1
    | ~ spl21_266 ),
    inference(resolution,[],[f4164,f344]) ).

fof(f15282,plain,
    ( sdtasdt0(xm,sK6) = sdtsldt0(sdtasdt0(xm,xk),xr)
    | ~ spl21_6
    | ~ spl21_641 ),
    inference(resolution,[],[f15270,f369]) ).

fof(f48297,plain,
    ( spl21_997
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_266
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_682
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(avatar_split_clause,[],[f47591,f39376,f39296,f17684,f16892,f9308,f6593,f4163,f2125,f2120,f1768,f412,f367,f342,f48294]) ).

fof(f48294,plain,
    ( spl21_997
  <=> xm = sdtasdt0(xm,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_997])]) ).

fof(f47591,plain,
    ( xm = sdtasdt0(xm,xk)
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_266
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_682
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f47590,f47585]) ).

fof(f47585,plain,
    ( xm = sdtsldt0(sdtasdt0(xm,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_218
    | ~ spl21_219
    | ~ spl21_266
    | ~ spl21_413
    | ~ spl21_506
    | ~ spl21_682
    | ~ spl21_702
    | ~ spl21_983
    | ~ spl21_987 ),
    inference(forward_demodulation,[],[f47584,f40066]) ).

fof(f47584,plain,
    ( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1
    | ~ spl21_6
    | ~ spl21_266
    | ~ spl21_682 ),
    inference(forward_demodulation,[],[f16905,f4625]) ).

fof(f16905,plain,
    ( sdtasdt0(xm,xk) = sdtsldt0(sdtasdt0(xm,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_6
    | ~ spl21_682 ),
    inference(resolution,[],[f16893,f369]) ).

fof(f47590,plain,
    ( sdtasdt0(xm,xk) = sdtsldt0(sdtasdt0(xm,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_15
    | ~ spl21_155
    | ~ spl21_219
    | ~ spl21_682
    | ~ spl21_983 ),
    inference(forward_demodulation,[],[f16895,f39329]) ).

fof(f16895,plain,
    ( sdtasdt0(sz00,xk) = sdtsldt0(sdtasdt0(sz00,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_15
    | ~ spl21_682 ),
    inference(resolution,[],[f16893,f414]) ).

fof(f39697,plain,
    ( spl21_762
    | ~ spl21_16
    | ~ spl21_192
    | ~ spl21_194
    | ~ spl21_954 ),
    inference(avatar_split_clause,[],[f38515,f38482,f1979,f1969,f417,f19759]) ).

fof(f19759,plain,
    ( spl21_762
  <=> xm = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_762])]) ).

fof(f1969,plain,
    ( spl21_192
  <=> xn = sdtasdt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_192])]) ).

fof(f1979,plain,
    ( spl21_194
  <=> xm = sdtasdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_194])]) ).

fof(f38482,plain,
    ( spl21_954
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xn),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_954])]) ).

fof(f38515,plain,
    ( xm = sdtasdt0(xn,xm)
    | ~ spl21_16
    | ~ spl21_192
    | ~ spl21_194
    | ~ spl21_954 ),
    inference(forward_demodulation,[],[f38514,f1981]) ).

fof(f1981,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl21_194 ),
    inference(avatar_component_clause,[],[f1979]) ).

fof(f38514,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,xm)
    | ~ spl21_16
    | ~ spl21_192
    | ~ spl21_954 ),
    inference(forward_demodulation,[],[f38486,f1971]) ).

fof(f1971,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl21_192 ),
    inference(avatar_component_clause,[],[f1969]) ).

fof(f38486,plain,
    ( sdtasdt0(sz10,xm) = sdtasdt0(sdtasdt0(sz10,xn),xm)
    | ~ spl21_16
    | ~ spl21_954 ),
    inference(resolution,[],[f38483,f419]) ).

fof(f38483,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xn),xm) )
    | ~ spl21_954 ),
    inference(avatar_component_clause,[],[f38482]) ).

fof(f39637,plain,
    ( spl21_996
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_995 ),
    inference(avatar_split_clause,[],[f39632,f39628,f5673,f2039,f39634]) ).

fof(f39634,plain,
    ( spl21_996
  <=> sdtpldt0(sdtpldt0(xr,xn),xr) = sdtpldt0(xr,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_996])]) ).

fof(f39628,plain,
    ( spl21_995
  <=> sdtpldt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_995])]) ).

fof(f39632,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xr) = sdtpldt0(xr,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_995 ),
    inference(forward_demodulation,[],[f39630,f5715]) ).

fof(f5715,plain,
    ( xn = sdtpldt0(xn,xm)
    | ~ spl21_206
    | ~ spl21_325 ),
    inference(superposition,[],[f2041,f5675]) ).

fof(f5675,plain,
    ( sz00 = xm
    | ~ spl21_325 ),
    inference(avatar_component_clause,[],[f5673]) ).

fof(f39630,plain,
    ( sdtpldt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr)
    | ~ spl21_995 ),
    inference(avatar_component_clause,[],[f39628]) ).

fof(f39631,plain,
    ( spl21_995
    | ~ spl21_256
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12760,f12647,f4122,f39628]) ).

fof(f12760,plain,
    ( sdtpldt0(xr,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xr)
    | ~ spl21_256
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4123]) ).

fof(f39567,plain,
    ( spl21_994
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_993 ),
    inference(avatar_split_clause,[],[f39562,f39558,f5673,f2039,f39564]) ).

fof(f39564,plain,
    ( spl21_994
  <=> sdtpldt0(sdtpldt0(xr,xn),xk) = sdtpldt0(xk,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_994])]) ).

fof(f39558,plain,
    ( spl21_993
  <=> sdtpldt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_993])]) ).

fof(f39562,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xk) = sdtpldt0(xk,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_993 ),
    inference(forward_demodulation,[],[f39560,f5715]) ).

fof(f39560,plain,
    ( sdtpldt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk)
    | ~ spl21_993 ),
    inference(avatar_component_clause,[],[f39558]) ).

fof(f39561,plain,
    ( spl21_993
    | ~ spl21_255
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12759,f12647,f4118,f39558]) ).

fof(f12759,plain,
    ( sdtpldt0(xk,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xk)
    | ~ spl21_255
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4119]) ).

fof(f39502,plain,
    ( spl21_992
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_991 ),
    inference(avatar_split_clause,[],[f39497,f39493,f5673,f2039,f39499]) ).

fof(f39493,plain,
    ( spl21_991
  <=> sdtpldt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_991])]) ).

fof(f39497,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xp) = sdtpldt0(xp,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_991 ),
    inference(forward_demodulation,[],[f39495,f5715]) ).

fof(f39495,plain,
    ( sdtpldt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp)
    | ~ spl21_991 ),
    inference(avatar_component_clause,[],[f39493]) ).

fof(f39496,plain,
    ( spl21_991
    | ~ spl21_254
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12758,f12647,f4114,f39493]) ).

fof(f12758,plain,
    ( sdtpldt0(xp,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xp)
    | ~ spl21_254
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4115]) ).

fof(f39489,plain,
    ( spl21_990
    | ~ spl21_253
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12757,f12647,f4110,f39486]) ).

fof(f39486,plain,
    ( spl21_990
  <=> sdtpldt0(xm,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_990])]) ).

fof(f12757,plain,
    ( sdtpldt0(xm,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm)
    | ~ spl21_253
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4111]) ).

fof(f39432,plain,
    ( spl21_989
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_988 ),
    inference(avatar_split_clause,[],[f39427,f39423,f5673,f2039,f39429]) ).

fof(f39423,plain,
    ( spl21_988
  <=> sdtpldt0(xn,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_988])]) ).

fof(f39427,plain,
    ( sdtpldt0(sdtpldt0(xr,xn),xn) = sdtpldt0(xn,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_988 ),
    inference(forward_demodulation,[],[f39425,f5715]) ).

fof(f39425,plain,
    ( sdtpldt0(xn,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xn)
    | ~ spl21_988 ),
    inference(avatar_component_clause,[],[f39423]) ).

fof(f39426,plain,
    ( spl21_988
    | ~ spl21_252
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12756,f12647,f4086,f39423]) ).

fof(f12756,plain,
    ( sdtpldt0(xn,sdtpldt0(xr,sdtpldt0(xn,xm))) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xn)
    | ~ spl21_252
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f4087]) ).

fof(f39378,plain,
    ( spl21_987
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_986 ),
    inference(avatar_split_clause,[],[f39374,f39370,f5673,f2039,f39376]) ).

fof(f39370,plain,
    ( spl21_986
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_986])]) ).

fof(f39374,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_986 ),
    inference(forward_demodulation,[],[f39373,f5715]) ).

fof(f39373,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_986 ),
    inference(forward_demodulation,[],[f39371,f5675]) ).

fof(f39371,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_986 ),
    inference(avatar_component_clause,[],[f39370]) ).

fof(f39372,plain,
    ( spl21_986
    | ~ spl21_154
    | ~ spl21_234
    | ~ spl21_469 ),
    inference(avatar_split_clause,[],[f8471,f8107,f3322,f1760,f39370]) ).

fof(f8107,plain,
    ( spl21_469
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_469])]) ).

fof(f8471,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_234
    | ~ spl21_469 ),
    inference(forward_demodulation,[],[f8444,f3324]) ).

fof(f8444,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xm),sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_469 ),
    inference(resolution,[],[f8108,f1761]) ).

fof(f8108,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_469 ),
    inference(avatar_component_clause,[],[f8107]) ).

fof(f39367,plain,
    ( spl21_985
    | ~ spl21_154
    | ~ spl21_232
    | ~ spl21_468 ),
    inference(avatar_split_clause,[],[f8426,f8103,f2923,f1760,f39365]) ).

fof(f39365,plain,
    ( spl21_985
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_985])]) ).

fof(f2923,plain,
    ( spl21_232
  <=> sdtpldt0(xn,xm) = sdtasdt0(sdtpldt0(xn,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_232])]) ).

fof(f8426,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_232
    | ~ spl21_468 ),
    inference(forward_demodulation,[],[f8399,f2925]) ).

fof(f2925,plain,
    ( sdtpldt0(xn,xm) = sdtasdt0(sdtpldt0(xn,xm),sz10)
    | ~ spl21_232 ),
    inference(avatar_component_clause,[],[f2923]) ).

fof(f8399,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_468 ),
    inference(resolution,[],[f8104,f1761]) ).

fof(f39362,plain,
    ( spl21_984
    | ~ spl21_154
    | ~ spl21_368 ),
    inference(avatar_split_clause,[],[f6234,f5987,f1760,f39360]) ).

fof(f39360,plain,
    ( spl21_984
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_984])]) ).

fof(f6234,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_368 ),
    inference(resolution,[],[f5988,f1761]) ).

fof(f39298,plain,
    ( spl21_983
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_982 ),
    inference(avatar_split_clause,[],[f39238,f39234,f5673,f2039,f39296]) ).

fof(f39234,plain,
    ( spl21_982
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_982])]) ).

fof(f39238,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_982 ),
    inference(forward_demodulation,[],[f39237,f5715]) ).

fof(f39237,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_982 ),
    inference(forward_demodulation,[],[f39235,f5675]) ).

fof(f39235,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_982 ),
    inference(avatar_component_clause,[],[f39234]) ).

fof(f39236,plain,
    ( spl21_982
    | ~ spl21_154
    | ~ spl21_367 ),
    inference(avatar_split_clause,[],[f6205,f5983,f1760,f39234]) ).

fof(f6205,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_154
    | ~ spl21_367 ),
    inference(resolution,[],[f5984,f1761]) ).

fof(f39231,plain,
    ( spl21_981
    | ~ spl21_154
    | ~ spl21_366 ),
    inference(avatar_split_clause,[],[f6176,f5979,f1760,f39229]) ).

fof(f39229,plain,
    ( spl21_981
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_981])]) ).

fof(f6176,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_366 ),
    inference(resolution,[],[f5980,f1761]) ).

fof(f39226,plain,
    ( spl21_980
    | ~ spl21_154
    | ~ spl21_365 ),
    inference(avatar_split_clause,[],[f6147,f5975,f1760,f39224]) ).

fof(f39224,plain,
    ( spl21_980
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_980])]) ).

fof(f6147,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz10) )
    | ~ spl21_154
    | ~ spl21_365 ),
    inference(resolution,[],[f5976,f1761]) ).

fof(f39221,plain,
    ( spl21_979
    | ~ spl21_154
    | ~ spl21_364 ),
    inference(avatar_split_clause,[],[f6113,f5971,f1760,f39219]) ).

fof(f39219,plain,
    ( spl21_979
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_979])]) ).

fof(f6113,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_364 ),
    inference(resolution,[],[f5972,f1761]) ).

fof(f39172,plain,
    ( spl21_978
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_977 ),
    inference(avatar_split_clause,[],[f39168,f39164,f5673,f2039,f39170]) ).

fof(f39164,plain,
    ( spl21_977
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_977])]) ).

fof(f39168,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_977 ),
    inference(forward_demodulation,[],[f39167,f5715]) ).

fof(f39167,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_977 ),
    inference(forward_demodulation,[],[f39165,f5675]) ).

fof(f39165,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_977 ),
    inference(avatar_component_clause,[],[f39164]) ).

fof(f39166,plain,
    ( spl21_977
    | ~ spl21_154
    | ~ spl21_363 ),
    inference(avatar_split_clause,[],[f6084,f5967,f1760,f39164]) ).

fof(f6084,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_154
    | ~ spl21_363 ),
    inference(resolution,[],[f5968,f1761]) ).

fof(f39161,plain,
    ( spl21_976
    | ~ spl21_154
    | ~ spl21_362 ),
    inference(avatar_split_clause,[],[f6055,f5963,f1760,f39159]) ).

fof(f39159,plain,
    ( spl21_976
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_976])]) ).

fof(f6055,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_362 ),
    inference(resolution,[],[f5964,f1761]) ).

fof(f39156,plain,
    ( spl21_975
    | ~ spl21_154
    | ~ spl21_361 ),
    inference(avatar_split_clause,[],[f6026,f5959,f1760,f39154]) ).

fof(f39154,plain,
    ( spl21_975
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_975])]) ).

fof(f6026,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(xn,xm),X0) = sdtasdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz10) )
    | ~ spl21_154
    | ~ spl21_361 ),
    inference(resolution,[],[f5960,f1761]) ).

fof(f39151,plain,
    ( spl21_974
    | ~ spl21_154
    | ~ spl21_290 ),
    inference(avatar_split_clause,[],[f5200,f5001,f1760,f39148]) ).

fof(f39148,plain,
    ( spl21_974
  <=> sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_974])]) ).

fof(f5001,plain,
    ( spl21_290
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_290])]) ).

fof(f5200,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
    | ~ spl21_154
    | ~ spl21_290 ),
    inference(resolution,[],[f5002,f1761]) ).

fof(f5002,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
    | ~ spl21_290 ),
    inference(avatar_component_clause,[],[f5001]) ).

fof(f39103,plain,
    ( spl21_973
    | ~ spl21_154
    | ~ spl21_289 ),
    inference(avatar_split_clause,[],[f5171,f4997,f1760,f39100]) ).

fof(f39100,plain,
    ( spl21_973
  <=> sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_973])]) ).

fof(f4997,plain,
    ( spl21_289
  <=> ! [X0] :
        ( sdtpldt0(X0,sK20(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_289])]) ).

fof(f5171,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
    | ~ spl21_154
    | ~ spl21_289 ),
    inference(resolution,[],[f4998,f1761]) ).

fof(f4998,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK20(X0,X0)) = X0 )
    | ~ spl21_289 ),
    inference(avatar_component_clause,[],[f4997]) ).

fof(f39094,plain,
    ( spl21_972
    | ~ spl21_206
    | ~ spl21_268
    | ~ spl21_325
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(avatar_split_clause,[],[f15311,f15269,f12647,f5673,f4171,f2039,f39091]) ).

fof(f39091,plain,
    ( spl21_972
  <=> sdtasdt0(sdtpldt0(xr,xn),sK6) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,xn)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_972])]) ).

fof(f15311,plain,
    ( sdtasdt0(sdtpldt0(xr,xn),sK6) = sdtsldt0(sdtasdt0(xk,sdtpldt0(xr,xn)),xr)
    | ~ spl21_206
    | ~ spl21_268
    | ~ spl21_325
    | ~ spl21_584
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15310,f5715]) ).

fof(f39050,plain,
    ( spl21_971
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_970 ),
    inference(avatar_split_clause,[],[f39046,f39042,f5673,f2039,f39048]) ).

fof(f39042,plain,
    ( spl21_970
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_970])]) ).

fof(f39046,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(xm,sdtasdt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_970 ),
    inference(forward_demodulation,[],[f39045,f5675]) ).

fof(f39045,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_970 ),
    inference(forward_demodulation,[],[f39043,f5715]) ).

fof(f39043,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_970 ),
    inference(avatar_component_clause,[],[f39042]) ).

fof(f39044,plain,
    ( spl21_970
    | ~ spl21_316
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12789,f12647,f5509,f39042]) ).

fof(f12789,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_316
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5510]) ).

fof(f39001,plain,
    ( spl21_969
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_968 ),
    inference(avatar_split_clause,[],[f38997,f38993,f5673,f2039,f38999]) ).

fof(f38999,plain,
    ( spl21_969
  <=> ! [X0] :
        ( xm = sdtasdt0(sdtasdt0(sdtpldt0(xr,xn),X0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_969])]) ).

fof(f38993,plain,
    ( spl21_968
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_968])]) ).

fof(f38997,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(sdtasdt0(sdtpldt0(xr,xn),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_968 ),
    inference(forward_demodulation,[],[f38996,f5715]) ).

fof(f38996,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_968 ),
    inference(forward_demodulation,[],[f38994,f5675]) ).

fof(f38994,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_968 ),
    inference(avatar_component_clause,[],[f38993]) ).

fof(f38995,plain,
    ( spl21_968
    | ~ spl21_315
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12788,f12647,f5505,f38993]) ).

fof(f12788,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_315
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5506]) ).

fof(f38990,plain,
    ( ~ spl21_325
    | spl21_415
    | ~ spl21_929 ),
    inference(avatar_split_clause,[],[f38384,f37699,f6899,f5673]) ).

fof(f38951,plain,
    ( spl21_967
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_966 ),
    inference(avatar_split_clause,[],[f38947,f38943,f5673,f2039,f38949]) ).

fof(f38949,plain,
    ( spl21_967
  <=> ! [X0] :
        ( xm = sdtasdt0(xm,sdtpldt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_967])]) ).

fof(f38943,plain,
    ( spl21_966
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_966])]) ).

fof(f38947,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(xm,sdtpldt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_966 ),
    inference(forward_demodulation,[],[f38946,f5675]) ).

fof(f38946,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xr,xn),X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_966 ),
    inference(forward_demodulation,[],[f38944,f5715]) ).

fof(f38944,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_966 ),
    inference(avatar_component_clause,[],[f38943]) ).

fof(f38945,plain,
    ( spl21_966
    | ~ spl21_314
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12787,f12647,f5501,f38943]) ).

fof(f12787,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0)) )
    | ~ spl21_314
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5502]) ).

fof(f38903,plain,
    ( spl21_965
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_964 ),
    inference(avatar_split_clause,[],[f38899,f38895,f5673,f2039,f38901]) ).

fof(f38901,plain,
    ( spl21_965
  <=> ! [X0] :
        ( xm = sdtasdt0(sdtpldt0(sdtpldt0(xr,xn),X0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_965])]) ).

fof(f38895,plain,
    ( spl21_964
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_964])]) ).

fof(f38899,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(sdtpldt0(sdtpldt0(xr,xn),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_964 ),
    inference(forward_demodulation,[],[f38898,f5715]) ).

fof(f38898,plain,
    ( ! [X0] :
        ( xm = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_964 ),
    inference(forward_demodulation,[],[f38896,f5675]) ).

fof(f38896,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_964 ),
    inference(avatar_component_clause,[],[f38895]) ).

fof(f38897,plain,
    ( spl21_964
    | ~ spl21_313
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12786,f12647,f5497,f38895]) ).

fof(f12786,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),X0),sz00) )
    | ~ spl21_313
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f5498]) ).

fof(f38821,plain,
    ( spl21_963
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_962 ),
    inference(avatar_split_clause,[],[f38816,f38811,f5673,f2039,f38818]) ).

fof(f38818,plain,
    ( spl21_963
  <=> sdtpldt0(xr,xn) = sdtpldt0(xm,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_963])]) ).

fof(f38811,plain,
    ( spl21_962
  <=> sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_962])]) ).

fof(f38816,plain,
    ( sdtpldt0(xr,xn) = sdtpldt0(xm,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_962 ),
    inference(forward_demodulation,[],[f38815,f5675]) ).

fof(f38815,plain,
    ( sdtpldt0(xr,xn) = sdtpldt0(sz00,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_962 ),
    inference(forward_demodulation,[],[f38813,f5715]) ).

fof(f38813,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_962 ),
    inference(avatar_component_clause,[],[f38811]) ).

fof(f38814,plain,
    ( spl21_962
    | ~ spl21_81
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12749,f12647,f740,f38811]) ).

fof(f12749,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_81
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f741]) ).

fof(f38737,plain,
    ( spl21_961
    | ~ spl21_45
    | ~ spl21_929 ),
    inference(avatar_split_clause,[],[f38379,f37699,f577,f38734]) ).

fof(f38734,plain,
    ( spl21_961
  <=> doDivides0(xr,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_961])]) ).

fof(f577,plain,
    ( spl21_45
  <=> doDivides0(xr,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).

fof(f38379,plain,
    ( doDivides0(xr,xm)
    | ~ spl21_45
    | ~ spl21_929 ),
    inference(superposition,[],[f579,f37701]) ).

fof(f579,plain,
    ( doDivides0(xr,sdtasdt0(xr,sK11))
    | ~ spl21_45 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f38732,plain,
    ( spl21_960
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_959 ),
    inference(avatar_split_clause,[],[f38727,f38722,f5673,f2039,f38729]) ).

fof(f38729,plain,
    ( spl21_960
  <=> sdtpldt0(xr,xn) = sdtpldt0(sdtpldt0(xr,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_960])]) ).

fof(f38722,plain,
    ( spl21_959
  <=> sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_959])]) ).

fof(f38727,plain,
    ( sdtpldt0(xr,xn) = sdtpldt0(sdtpldt0(xr,xn),xm)
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_959 ),
    inference(forward_demodulation,[],[f38726,f5715]) ).

fof(f38726,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm)
    | ~ spl21_325
    | ~ spl21_959 ),
    inference(forward_demodulation,[],[f38724,f5675]) ).

fof(f38724,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00)
    | ~ spl21_959 ),
    inference(avatar_component_clause,[],[f38722]) ).

fof(f38725,plain,
    ( spl21_959
    | ~ spl21_80
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12748,f12647,f736,f38722]) ).

fof(f12748,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00)
    | ~ spl21_80
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f737]) ).

fof(f38638,plain,
    ( spl21_958
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_957 ),
    inference(avatar_split_clause,[],[f38633,f38629,f5673,f2039,f38635]) ).

fof(f38635,plain,
    ( spl21_958
  <=> sdtpldt0(xr,xn) = sdtasdt0(sz10,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_958])]) ).

fof(f38629,plain,
    ( spl21_957
  <=> sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_957])]) ).

fof(f38633,plain,
    ( sdtpldt0(xr,xn) = sdtasdt0(sz10,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_957 ),
    inference(forward_demodulation,[],[f38631,f5715]) ).

fof(f38631,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_957 ),
    inference(avatar_component_clause,[],[f38629]) ).

fof(f38632,plain,
    ( spl21_957
    | ~ spl21_79
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12747,f12647,f732,f38629]) ).

fof(f12747,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sz10,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_79
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f733]) ).

fof(f38542,plain,
    ( spl21_956
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_955 ),
    inference(avatar_split_clause,[],[f38537,f38533,f5673,f2039,f38539]) ).

fof(f38539,plain,
    ( spl21_956
  <=> sdtpldt0(xr,xn) = sdtasdt0(sdtpldt0(xr,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_956])]) ).

fof(f38533,plain,
    ( spl21_955
  <=> sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_955])]) ).

fof(f38537,plain,
    ( sdtpldt0(xr,xn) = sdtasdt0(sdtpldt0(xr,xn),sz10)
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_955 ),
    inference(forward_demodulation,[],[f38535,f5715]) ).

fof(f38535,plain,
    ( sdtpldt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz10)
    | ~ spl21_955 ),
    inference(avatar_component_clause,[],[f38533]) ).

fof(f38536,plain,
    ( spl21_955
    | ~ spl21_78
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12746,f12647,f728,f38533]) ).

fof(f38484,plain,
    ( spl21_954
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_952 ),
    inference(avatar_split_clause,[],[f38475,f38471,f5673,f2039,f38482]) ).

fof(f38471,plain,
    ( spl21_952
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_952])]) ).

fof(f38475,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xn),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_952 ),
    inference(forward_demodulation,[],[f38474,f5715]) ).

fof(f38474,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_952 ),
    inference(forward_demodulation,[],[f38472,f5675]) ).

fof(f38472,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00) )
    | ~ spl21_952 ),
    inference(avatar_component_clause,[],[f38471]) ).

fof(f38480,plain,
    ( spl21_953
    | ~ spl21_44
    | ~ spl21_929 ),
    inference(avatar_split_clause,[],[f38378,f37699,f572,f38477]) ).

fof(f38477,plain,
    ( spl21_953
  <=> doDivides0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_953])]) ).

fof(f572,plain,
    ( spl21_44
  <=> doDivides0(xp,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).

fof(f38378,plain,
    ( doDivides0(xp,xm)
    | ~ spl21_44
    | ~ spl21_929 ),
    inference(superposition,[],[f574,f37701]) ).

fof(f574,plain,
    ( doDivides0(xp,sdtasdt0(xr,sK11))
    | ~ spl21_44 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f38473,plain,
    ( spl21_952
    | ~ spl21_154
    | ~ spl21_193
    | ~ spl21_467 ),
    inference(avatar_split_clause,[],[f8381,f8099,f1974,f1760,f38471]) ).

fof(f1974,plain,
    ( spl21_193
  <=> sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_193])]) ).

fof(f8099,plain,
    ( spl21_467
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_467])]) ).

fof(f8381,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_193
    | ~ spl21_467 ),
    inference(forward_demodulation,[],[f8354,f1976]) ).

fof(f1976,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00)
    | ~ spl21_193 ),
    inference(avatar_component_clause,[],[f1974]) ).

fof(f8354,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_154
    | ~ spl21_467 ),
    inference(resolution,[],[f8100,f1761]) ).

fof(f8100,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_467 ),
    inference(avatar_component_clause,[],[f8099]) ).

fof(f38468,plain,
    ( spl21_951
    | ~ spl21_98
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1816,f1760,f956,f38466]) ).

fof(f38466,plain,
    ( spl21_951
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_951])]) ).

fof(f1816,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_98
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f957]) ).

fof(f38463,plain,
    ( spl21_950
    | ~ spl21_97
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1815,f1760,f952,f38461]) ).

fof(f38461,plain,
    ( spl21_950
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_950])]) ).

fof(f1815,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_97
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f953]) ).

fof(f38459,plain,
    ( ~ spl21_686
    | ~ spl21_325
    | spl21_331 ),
    inference(avatar_split_clause,[],[f14015,f5793,f5673,f17033]) ).

fof(f17033,plain,
    ( spl21_686
  <=> xm = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_686])]) ).

fof(f14015,plain,
    ( xm != sK10
    | ~ spl21_325
    | spl21_331 ),
    inference(superposition,[],[f5794,f5675]) ).

fof(f5794,plain,
    ( sz00 != sK10
    | spl21_331 ),
    inference(avatar_component_clause,[],[f5793]) ).

fof(f38458,plain,
    ( ~ spl21_949
    | ~ spl21_325
    | spl21_507 ),
    inference(avatar_split_clause,[],[f14011,f9312,f5673,f38455]) ).

fof(f38455,plain,
    ( spl21_949
  <=> xm = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_949])]) ).

fof(f14011,plain,
    ( xm != sK6
    | ~ spl21_325
    | spl21_507 ),
    inference(superposition,[],[f9313,f5675]) ).

fof(f9313,plain,
    ( sz00 != sK6
    | spl21_507 ),
    inference(avatar_component_clause,[],[f9312]) ).

fof(f38377,plain,
    ( ~ spl21_948
    | spl21_34
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f13950,f5673,f507,f38374]) ).

fof(f38374,plain,
    ( spl21_948
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_948])]) ).

fof(f13950,plain,
    ( sz10 != xm
    | spl21_34
    | ~ spl21_325 ),
    inference(superposition,[],[f509,f5675]) ).

fof(f509,plain,
    ( sz00 != sz10
    | spl21_34 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f38372,plain,
    ( ~ spl21_947
    | spl21_26
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f5685,f5673,f467,f38369]) ).

fof(f5685,plain,
    ( xm != xk
    | spl21_26
    | ~ spl21_325 ),
    inference(superposition,[],[f469,f5675]) ).

fof(f469,plain,
    ( sz00 != xk
    | spl21_26 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f38367,plain,
    ( ~ spl21_946
    | spl21_20
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f5684,f5673,f437,f38364]) ).

fof(f5684,plain,
    ( xm != xr
    | spl21_20
    | ~ spl21_325 ),
    inference(superposition,[],[f439,f5675]) ).

fof(f439,plain,
    ( sz00 != xr
    | spl21_20 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f38346,plain,
    ( spl21_596
    | spl21_944
    | ~ spl21_16
    | ~ spl21_3
    | ~ spl21_945
    | ~ spl21_198
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15465,f15368,f1999,f38343,f352,f417,f38339,f13114]) ).

fof(f38339,plain,
    ( spl21_944
  <=> sz10 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_944])]) ).

fof(f15465,plain,
    ( ~ sP4(sK6)
    | ~ aNaturalNumber0(sK6)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK6
    | sz10 = xn
    | ~ spl21_198
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15400]) ).

fof(f15400,plain,
    ( ~ sP4(sK6)
    | ~ aNaturalNumber0(sK6)
    | ~ aNaturalNumber0(sK6)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK6
    | sz10 = xn
    | ~ spl21_198
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2001]) ).

fof(f38321,plain,
    ( spl21_596
    | spl21_942
    | ~ spl21_16
    | ~ spl21_9
    | ~ spl21_943
    | ~ spl21_199
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15464,f15368,f2004,f38318,f382,f417,f38314,f13114]) ).

fof(f15464,plain,
    ( ~ sP4(sK7)
    | ~ aNaturalNumber0(sK7)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK7
    | sz10 = xn
    | ~ spl21_199
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15401]) ).

fof(f15401,plain,
    ( ~ sP4(sK7)
    | ~ aNaturalNumber0(sK7)
    | ~ aNaturalNumber0(sK7)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK7
    | sz10 = xn
    | ~ spl21_199
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2006]) ).

fof(f38296,plain,
    ( spl21_596
    | spl21_940
    | ~ spl21_16
    | ~ spl21_8
    | ~ spl21_941
    | ~ spl21_200
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15463,f15368,f2009,f38293,f377,f417,f38289,f13114]) ).

fof(f15463,plain,
    ( ~ sP4(sK8)
    | ~ aNaturalNumber0(sK8)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK8
    | sz10 = xn
    | ~ spl21_200
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15402]) ).

fof(f15402,plain,
    ( ~ sP4(sK8)
    | ~ aNaturalNumber0(sK8)
    | ~ aNaturalNumber0(sK8)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK8
    | sz10 = xn
    | ~ spl21_200
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2011]) ).

fof(f38271,plain,
    ( spl21_596
    | spl21_938
    | ~ spl21_16
    | ~ spl21_10
    | ~ spl21_939
    | ~ spl21_201
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15462,f15368,f2014,f38268,f387,f417,f38264,f13114]) ).

fof(f2014,plain,
    ( spl21_201
  <=> sK9 = sdtasdt0(sz10,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_201])]) ).

fof(f15462,plain,
    ( ~ sP4(sK9)
    | ~ aNaturalNumber0(sK9)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK9
    | sz10 = xn
    | ~ spl21_201
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15403]) ).

fof(f15403,plain,
    ( ~ sP4(sK9)
    | ~ aNaturalNumber0(sK9)
    | ~ aNaturalNumber0(sK9)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK9
    | sz10 = xn
    | ~ spl21_201
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2016]) ).

fof(f2016,plain,
    ( sK9 = sdtasdt0(sz10,sK9)
    | ~ spl21_201 ),
    inference(avatar_component_clause,[],[f2014]) ).

fof(f38246,plain,
    ( spl21_596
    | spl21_936
    | ~ spl21_16
    | ~ spl21_12
    | ~ spl21_937
    | ~ spl21_202
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15461,f15368,f2019,f38243,f397,f417,f38239,f13114]) ).

fof(f38239,plain,
    ( spl21_936
  <=> sz10 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_936])]) ).

fof(f15461,plain,
    ( ~ sP4(sK10)
    | ~ aNaturalNumber0(sK10)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK10
    | sz10 = xn
    | ~ spl21_202
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15404]) ).

fof(f15404,plain,
    ( ~ sP4(sK10)
    | ~ aNaturalNumber0(sK10)
    | ~ aNaturalNumber0(sK10)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK10
    | sz10 = xn
    | ~ spl21_202
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2021]) ).

fof(f38221,plain,
    ( spl21_596
    | spl21_934
    | ~ spl21_16
    | ~ spl21_14
    | ~ spl21_935
    | ~ spl21_203
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15460,f15368,f2024,f38218,f407,f417,f38214,f13114]) ).

fof(f2024,plain,
    ( spl21_203
  <=> sK11 = sdtasdt0(sz10,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_203])]) ).

fof(f15460,plain,
    ( ~ sP4(sK11)
    | ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK11
    | sz10 = xn
    | ~ spl21_203
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15405]) ).

fof(f15405,plain,
    ( ~ sP4(sK11)
    | ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK11
    | sz10 = xn
    | ~ spl21_203
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2026]) ).

fof(f2026,plain,
    ( sK11 = sdtasdt0(sz10,sK11)
    | ~ spl21_203 ),
    inference(avatar_component_clause,[],[f2024]) ).

fof(f38123,plain,
    ( spl21_596
    | spl21_932
    | ~ spl21_16
    | ~ spl21_13
    | ~ spl21_933
    | ~ spl21_205
    | ~ spl21_649 ),
    inference(avatar_split_clause,[],[f15459,f15368,f2034,f38120,f402,f417,f38116,f13114]) ).

fof(f2034,plain,
    ( spl21_205
  <=> sK12 = sdtasdt0(sz10,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_205])]) ).

fof(f15459,plain,
    ( ~ sP4(sK12)
    | ~ aNaturalNumber0(sK12)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK12
    | sz10 = xn
    | ~ spl21_205
    | ~ spl21_649 ),
    inference(duplicate_literal_removal,[],[f15406]) ).

fof(f15406,plain,
    ( ~ sP4(sK12)
    | ~ aNaturalNumber0(sK12)
    | ~ aNaturalNumber0(sK12)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK12
    | sz10 = xn
    | ~ spl21_205
    | ~ spl21_649 ),
    inference(superposition,[],[f15369,f2036]) ).

fof(f2036,plain,
    ( sK12 = sdtasdt0(sz10,sK12)
    | ~ spl21_205 ),
    inference(avatar_component_clause,[],[f2034]) ).

fof(f38037,plain,
    ( spl21_931
    | ~ spl21_371
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30172,f13118,f6000,f38035]) ).

fof(f38035,plain,
    ( spl21_931
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK15(xn)) = sdtasdt0(sK15(xn),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_931])]) ).

fof(f6000,plain,
    ( spl21_371
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sK15(X1)) = sdtasdt0(sK15(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_371])]) ).

fof(f30172,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK15(xn)) = sdtasdt0(sK15(xn),X0) )
    | ~ spl21_371
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f6001]) ).

fof(f6001,plain,
    ( ! [X0,X1] :
        ( ~ sP1(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK15(X1)) = sdtasdt0(sK15(X1),X0) )
    | ~ spl21_371 ),
    inference(avatar_component_clause,[],[f6000]) ).

fof(f38033,plain,
    ( spl21_930
    | ~ spl21_369
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30171,f13118,f5991,f38031]) ).

fof(f38031,plain,
    ( spl21_930
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK15(xn)) = sdtpldt0(sK15(xn),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_930])]) ).

fof(f5991,plain,
    ( spl21_369
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK15(X1)) = sdtpldt0(sK15(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_369])]) ).

fof(f30171,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK15(xn)) = sdtpldt0(sK15(xn),X0) )
    | ~ spl21_369
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f5992]) ).

fof(f5992,plain,
    ( ! [X0,X1] :
        ( ~ sP1(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK15(X1)) = sdtpldt0(sK15(X1),X0) )
    | ~ spl21_369 ),
    inference(avatar_component_clause,[],[f5991]) ).

fof(f37702,plain,
    ( spl21_929
    | ~ spl21_65
    | ~ spl21_762 ),
    inference(avatar_split_clause,[],[f32792,f19759,f670,f37699]) ).

fof(f32792,plain,
    ( xm = sdtasdt0(xr,sK11)
    | ~ spl21_65
    | ~ spl21_762 ),
    inference(superposition,[],[f19761,f672]) ).

fof(f19761,plain,
    ( xm = sdtasdt0(xn,xm)
    | ~ spl21_762 ),
    inference(avatar_component_clause,[],[f19759]) ).

fof(f35388,plain,
    ( spl21_928
    | ~ spl21_7
    | ~ spl21_2
    | spl21_153
    | ~ spl21_411 ),
    inference(avatar_split_clause,[],[f6881,f6580,f1756,f347,f372,f35385]) ).

fof(f35385,plain,
    ( spl21_928
  <=> xr = sdtpldt0(xp,sdtmndt0(xr,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_928])]) ).

fof(f6580,plain,
    ( spl21_411
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_411])]) ).

fof(f6881,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xp)
    | xr = sdtpldt0(xp,sdtmndt0(xr,xp))
    | spl21_153
    | ~ spl21_411 ),
    inference(resolution,[],[f6581,f1758]) ).

fof(f1758,plain,
    ( ~ sdtlseqdt0(xr,xp)
    | spl21_153 ),
    inference(avatar_component_clause,[],[f1756]) ).

fof(f6581,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl21_411 ),
    inference(avatar_component_clause,[],[f6580]) ).

fof(f35314,plain,
    ( spl21_927
    | ~ spl21_317
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30170,f13118,f5513,f35311]) ).

fof(f35311,plain,
    ( spl21_927
  <=> xn = sdtasdt0(sK15(xn),sK16(xn,sK15(xn))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_927])]) ).

fof(f5513,plain,
    ( spl21_317
  <=> ! [X0] :
        ( sdtasdt0(sK15(X0),sK16(X0,sK15(X0))) = X0
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_317])]) ).

fof(f30170,plain,
    ( xn = sdtasdt0(sK15(xn),sK16(xn,sK15(xn)))
    | ~ spl21_317
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f5514]) ).

fof(f5514,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sdtasdt0(sK15(X0),sK16(X0,sK15(X0))) = X0 )
    | ~ spl21_317 ),
    inference(avatar_component_clause,[],[f5513]) ).

fof(f35309,plain,
    ( spl21_926
    | ~ spl21_1
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_682
    | ~ spl21_702 ),
    inference(avatar_split_clause,[],[f29929,f17684,f16892,f4159,f362,f342,f35306]) ).

fof(f29929,plain,
    ( xk = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_682
    | ~ spl21_702 ),
    inference(forward_demodulation,[],[f29928,f17686]) ).

fof(f29928,plain,
    ( sdtasdt0(xk,xn) = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_1
    | ~ spl21_5
    | ~ spl21_265
    | ~ spl21_682 ),
    inference(forward_demodulation,[],[f16904,f4594]) ).

fof(f16904,plain,
    ( sdtasdt0(xn,xk) = sdtsldt0(sdtasdt0(xn,sdtasdt0(sK11,xr)),xp)
    | ~ spl21_5
    | ~ spl21_682 ),
    inference(resolution,[],[f16893,f364]) ).

fof(f35240,plain,
    ( spl21_925
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_924 ),
    inference(avatar_split_clause,[],[f35235,f35230,f5673,f2039,f35237]) ).

fof(f35237,plain,
    ( spl21_925
  <=> xm = sdtasdt0(xm,sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_925])]) ).

fof(f35230,plain,
    ( spl21_924
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_924])]) ).

fof(f35235,plain,
    ( xm = sdtasdt0(xm,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_924 ),
    inference(forward_demodulation,[],[f35234,f5675]) ).

fof(f35234,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_924 ),
    inference(forward_demodulation,[],[f35232,f5715]) ).

fof(f35232,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_924 ),
    inference(avatar_component_clause,[],[f35230]) ).

fof(f35233,plain,
    ( spl21_924
    | ~ spl21_77
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12745,f12647,f724,f35230]) ).

fof(f12745,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_77
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f725]) ).

fof(f35160,plain,
    ( spl21_923
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_921 ),
    inference(avatar_split_clause,[],[f35150,f35145,f5673,f2039,f35157]) ).

fof(f35145,plain,
    ( spl21_921
  <=> sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_921])]) ).

fof(f35150,plain,
    ( xm = sdtasdt0(sdtpldt0(xr,xn),xm)
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_921 ),
    inference(forward_demodulation,[],[f35149,f5715]) ).

fof(f35149,plain,
    ( xm = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),xm)
    | ~ spl21_325
    | ~ spl21_921 ),
    inference(forward_demodulation,[],[f35147,f5675]) ).

fof(f35147,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00)
    | ~ spl21_921 ),
    inference(avatar_component_clause,[],[f35145]) ).

fof(f35155,plain,
    ( ~ spl21_5
    | spl21_922
    | ~ spl21_116
    | ~ spl21_665 ),
    inference(avatar_split_clause,[],[f23872,f16534,f1134,f35152,f362]) ).

fof(f23872,plain,
    ( doDivides0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_116
    | ~ spl21_665 ),
    inference(duplicate_literal_removal,[],[f23818]) ).

fof(f23818,plain,
    ( doDivides0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_116
    | ~ spl21_665 ),
    inference(superposition,[],[f1135,f16536]) ).

fof(f16536,plain,
    ( xn = sdtasdt0(xn,xn)
    | ~ spl21_665 ),
    inference(avatar_component_clause,[],[f16534]) ).

fof(f35148,plain,
    ( spl21_921
    | ~ spl21_76
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12744,f12647,f720,f35145]) ).

fof(f12744,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sz00)
    | ~ spl21_76
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f721]) ).

fof(f35137,plain,
    ( ~ spl21_920
    | spl21_18
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f5683,f5673,f427,f35134]) ).

fof(f427,plain,
    ( spl21_18
  <=> sP4(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).

fof(f5683,plain,
    ( ~ sP4(xm)
    | spl21_18
    | ~ spl21_325 ),
    inference(superposition,[],[f429,f5675]) ).

fof(f429,plain,
    ( ~ sP4(sz00)
    | spl21_18 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f34839,plain,
    ( spl21_919
    | ~ spl21_284
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30180,f13118,f5673,f4977,f34836]) ).

fof(f34836,plain,
    ( spl21_919
  <=> sK15(xn) = sdtpldt0(xm,sK15(xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_919])]) ).

fof(f4977,plain,
    ( spl21_284
  <=> ! [X0] :
        ( sK15(X0) = sdtpldt0(sz00,sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_284])]) ).

fof(f30180,plain,
    ( sK15(xn) = sdtpldt0(xm,sK15(xn))
    | ~ spl21_284
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(forward_demodulation,[],[f30169,f5675]) ).

fof(f30169,plain,
    ( sK15(xn) = sdtpldt0(sz00,sK15(xn))
    | ~ spl21_284
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f4978]) ).

fof(f4978,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sK15(X0) = sdtpldt0(sz00,sK15(X0)) )
    | ~ spl21_284 ),
    inference(avatar_component_clause,[],[f4977]) ).

fof(f34834,plain,
    ( spl21_918
    | ~ spl21_283
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30179,f13118,f5673,f4973,f34831]) ).

fof(f34831,plain,
    ( spl21_918
  <=> sK15(xn) = sdtpldt0(sK15(xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_918])]) ).

fof(f4973,plain,
    ( spl21_283
  <=> ! [X0] :
        ( sK15(X0) = sdtpldt0(sK15(X0),sz00)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_283])]) ).

fof(f30179,plain,
    ( sK15(xn) = sdtpldt0(sK15(xn),xm)
    | ~ spl21_283
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(forward_demodulation,[],[f30168,f5675]) ).

fof(f30168,plain,
    ( sK15(xn) = sdtpldt0(sK15(xn),sz00)
    | ~ spl21_283
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f4974]) ).

fof(f4974,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sK15(X0) = sdtpldt0(sK15(X0),sz00) )
    | ~ spl21_283 ),
    inference(avatar_component_clause,[],[f4973]) ).

fof(f34829,plain,
    ( spl21_917
    | ~ spl21_282
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30167,f13118,f4969,f34826]) ).

fof(f34826,plain,
    ( spl21_917
  <=> sK15(xn) = sdtasdt0(sz10,sK15(xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_917])]) ).

fof(f4969,plain,
    ( spl21_282
  <=> ! [X0] :
        ( sK15(X0) = sdtasdt0(sz10,sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_282])]) ).

fof(f30167,plain,
    ( sK15(xn) = sdtasdt0(sz10,sK15(xn))
    | ~ spl21_282
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f4970]) ).

fof(f4970,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sK15(X0) = sdtasdt0(sz10,sK15(X0)) )
    | ~ spl21_282 ),
    inference(avatar_component_clause,[],[f4969]) ).

fof(f34824,plain,
    ( spl21_916
    | ~ spl21_206
    | ~ spl21_235
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f5749,f5673,f3522,f2039,f34821]) ).

fof(f34821,plain,
    ( spl21_916
  <=> xn = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_916])]) ).

fof(f3522,plain,
    ( spl21_235
  <=> sdtpldt0(xn,xm) = sdtpldt0(sz00,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_235])]) ).

fof(f5749,plain,
    ( xn = sdtpldt0(xm,xn)
    | ~ spl21_206
    | ~ spl21_235
    | ~ spl21_325 ),
    inference(forward_demodulation,[],[f5740,f5715]) ).

fof(f5740,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(xm,sdtpldt0(xn,xm))
    | ~ spl21_235
    | ~ spl21_325 ),
    inference(superposition,[],[f3524,f5675]) ).

fof(f3524,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sz00,sdtpldt0(xn,xm))
    | ~ spl21_235 ),
    inference(avatar_component_clause,[],[f3522]) ).

fof(f34819,plain,
    ( spl21_915
    | ~ spl21_280
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30166,f13118,f4960,f34816]) ).

fof(f34816,plain,
    ( spl21_915
  <=> sK15(xn) = sdtasdt0(sK15(xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_915])]) ).

fof(f4960,plain,
    ( spl21_280
  <=> ! [X0] :
        ( sK15(X0) = sdtasdt0(sK15(X0),sz10)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_280])]) ).

fof(f30166,plain,
    ( sK15(xn) = sdtasdt0(sK15(xn),sz10)
    | ~ spl21_280
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f4961]) ).

fof(f4961,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sK15(X0) = sdtasdt0(sK15(X0),sz10) )
    | ~ spl21_280 ),
    inference(avatar_component_clause,[],[f4960]) ).

fof(f34616,plain,
    ( spl21_914
    | ~ spl21_249
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30178,f13118,f5673,f3975,f34613]) ).

fof(f34613,plain,
    ( spl21_914
  <=> xm = sdtasdt0(xm,sK15(xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_914])]) ).

fof(f3975,plain,
    ( spl21_249
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sz00,sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_249])]) ).

fof(f30178,plain,
    ( xm = sdtasdt0(xm,sK15(xn))
    | ~ spl21_249
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(forward_demodulation,[],[f30165,f5675]) ).

fof(f30165,plain,
    ( sz00 = sdtasdt0(sz00,sK15(xn))
    | ~ spl21_249
    | ~ spl21_597 ),
    inference(resolution,[],[f13120,f3976]) ).

fof(f3976,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sz00 = sdtasdt0(sz00,sK15(X0)) )
    | ~ spl21_249 ),
    inference(avatar_component_clause,[],[f3975]) ).

fof(f34611,plain,
    ( spl21_913
    | ~ spl21_248
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(avatar_split_clause,[],[f30177,f13118,f5673,f3971,f34608]) ).

fof(f34608,plain,
    ( spl21_913
  <=> xm = sdtasdt0(sK15(xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_913])]) ).

fof(f30177,plain,
    ( xm = sdtasdt0(sK15(xn),xm)
    | ~ spl21_248
    | ~ spl21_325
    | ~ spl21_597 ),
    inference(forward_demodulation,[],[f30164,f5675]) ).

fof(f34604,plain,
    ( spl21_912
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_911 ),
    inference(avatar_split_clause,[],[f34599,f34595,f5673,f2039,f34601]) ).

fof(f34601,plain,
    ( spl21_912
  <=> sP5(sdtpldt0(xr,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_912])]) ).

fof(f34595,plain,
    ( spl21_911
  <=> sP5(sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_911])]) ).

fof(f34599,plain,
    ( sP5(sdtpldt0(xr,xn))
    | ~ spl21_206
    | ~ spl21_325
    | ~ spl21_911 ),
    inference(forward_demodulation,[],[f34597,f5715]) ).

fof(f34597,plain,
    ( sP5(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_911 ),
    inference(avatar_component_clause,[],[f34595]) ).

fof(f34598,plain,
    ( spl21_911
    | ~ spl21_35
    | ~ spl21_584 ),
    inference(avatar_split_clause,[],[f12743,f12647,f512,f34595]) ).

fof(f12743,plain,
    ( sP5(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_35
    | ~ spl21_584 ),
    inference(resolution,[],[f12649,f513]) ).

fof(f33741,plain,
    ( spl21_910
    | ~ spl21_7
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(avatar_split_clause,[],[f33737,f33729,f5673,f4964,f4175,f4114,f4086,f2039,f407,f397,f372,f33739]) ).

fof(f33739,plain,
    ( spl21_910
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_910])]) ).

fof(f33737,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33736,f4299]) ).

fof(f33736,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33735,f4232]) ).

fof(f33735,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,xn))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33734,f5715]) ).

fof(f33734,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33733,f4966]) ).

fof(f33733,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_325
    | ~ spl21_909 ),
    inference(forward_demodulation,[],[f33732,f5675]) ).

fof(f33731,plain,
    ( ~ spl21_7
    | ~ spl21_12
    | spl21_909
    | ~ spl21_71
    | ~ spl21_149 ),
    inference(avatar_split_clause,[],[f1722,f1714,f698,f33729,f397,f372]) ).

fof(f1714,plain,
    ( spl21_149
  <=> ! [X0,X3,X2,X1] :
        ( sP3(X1,X2)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_149])]) ).

fof(f1722,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(sK10,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_71
    | ~ spl21_149 ),
    inference(superposition,[],[f1715,f700]) ).

fof(f1715,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X2)
        | ~ aNaturalNumber0(X3)
        | sP1(X2)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_149 ),
    inference(avatar_component_clause,[],[f1714]) ).

fof(f33541,plain,
    ( spl21_908
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(avatar_split_clause,[],[f33537,f33529,f5673,f4964,f4175,f4114,f4086,f2039,f407,f372,f342,f33539]) ).

fof(f33539,plain,
    ( spl21_908
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_908])]) ).

fof(f33537,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33536,f4293]) ).

fof(f33536,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33535,f4232]) ).

fof(f33535,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xn))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33534,f5715]) ).

fof(f33534,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33533,f4966]) ).

fof(f33533,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_325
    | ~ spl21_907 ),
    inference(forward_demodulation,[],[f33532,f5675]) ).

fof(f33531,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | spl21_907
    | ~ spl21_68
    | ~ spl21_149 ),
    inference(avatar_split_clause,[],[f1721,f1714,f683,f33529,f342,f372]) ).

fof(f1721,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(xk,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_68
    | ~ spl21_149 ),
    inference(superposition,[],[f1715,f685]) ).

fof(f33398,plain,
    ( spl21_906
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_905 ),
    inference(avatar_split_clause,[],[f33394,f33387,f5673,f4964,f4175,f4086,f2039,f407,f372,f33396]) ).

fof(f33396,plain,
    ( spl21_906
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_906])]) ).

fof(f33394,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33393,f4232]) ).

fof(f33393,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33392,f5715]) ).

fof(f33392,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33391,f4966]) ).

fof(f33391,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_325
    | ~ spl21_905 ),
    inference(forward_demodulation,[],[f33390,f5675]) ).

fof(f33389,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_905
    | ~ spl21_65
    | ~ spl21_149 ),
    inference(avatar_split_clause,[],[f1720,f1714,f670,f33387,f367,f362]) ).

fof(f1720,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xn,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(xm,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_65
    | ~ spl21_149 ),
    inference(superposition,[],[f1715,f672]) ).

fof(f33125,plain,
    ( spl21_904
    | ~ spl21_325
    | ~ spl21_903 ),
    inference(avatar_split_clause,[],[f33121,f33118,f5673,f33123]) ).

fof(f33123,plain,
    ( spl21_904
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK20(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_904])]) ).

fof(f33118,plain,
    ( spl21_903
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK20(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_903])]) ).

fof(f33121,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK20(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_325
    | ~ spl21_903 ),
    inference(forward_demodulation,[],[f33119,f5675]) ).

fof(f33119,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK20(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_903 ),
    inference(avatar_component_clause,[],[f33118]) ).

fof(f33120,plain,
    ( spl21_903
    | ~ spl21_119
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1637,f1619,f1205,f33118]) ).

fof(f1637,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK20(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_119
    | ~ spl21_142 ),
    inference(resolution,[],[f1620,f1206]) ).

fof(f32791,plain,
    ( spl21_902
    | ~ spl21_325
    | ~ spl21_901 ),
    inference(avatar_split_clause,[],[f32787,f32784,f5673,f32789]) ).

fof(f32789,plain,
    ( spl21_902
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_902])]) ).

fof(f32784,plain,
    ( spl21_901
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_901])]) ).

fof(f32787,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_325
    | ~ spl21_901 ),
    inference(forward_demodulation,[],[f32785,f5675]) ).

fof(f32785,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_901 ),
    inference(avatar_component_clause,[],[f32784]) ).

fof(f32786,plain,
    ( spl21_901
    | ~ spl21_120
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1636,f1619,f1209,f32784]) ).

fof(f1636,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_120
    | ~ spl21_142 ),
    inference(resolution,[],[f1620,f1210]) ).

fof(f32515,plain,
    ( spl21_900
    | ~ spl21_325
    | ~ spl21_899 ),
    inference(avatar_split_clause,[],[f32511,f32508,f5673,f32513]) ).

fof(f32513,plain,
    ( spl21_900
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK20(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_900])]) ).

fof(f32508,plain,
    ( spl21_899
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK20(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_899])]) ).

fof(f32511,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK20(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_325
    | ~ spl21_899 ),
    inference(forward_demodulation,[],[f32509,f5675]) ).

fof(f32509,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK20(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_899 ),
    inference(avatar_component_clause,[],[f32508]) ).

fof(f32510,plain,
    ( spl21_899
    | ~ spl21_119
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1624,f1615,f1205,f32508]) ).

fof(f1615,plain,
    ( spl21_141
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_141])]) ).

fof(f1624,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK20(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_119
    | ~ spl21_141 ),
    inference(resolution,[],[f1616,f1206]) ).

fof(f1616,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_141 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f32239,plain,
    ( spl21_898
    | ~ spl21_325
    | ~ spl21_897 ),
    inference(avatar_split_clause,[],[f32235,f32232,f5673,f32237]) ).

fof(f32237,plain,
    ( spl21_898
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_898])]) ).

fof(f32232,plain,
    ( spl21_897
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_897])]) ).

fof(f32235,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_325
    | ~ spl21_897 ),
    inference(forward_demodulation,[],[f32233,f5675]) ).

fof(f32233,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_897 ),
    inference(avatar_component_clause,[],[f32232]) ).

fof(f32234,plain,
    ( spl21_897
    | ~ spl21_120
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1623,f1615,f1209,f32232]) ).

fof(f1623,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_120
    | ~ spl21_141 ),
    inference(resolution,[],[f1616,f1210]) ).

fof(f31784,plain,
    ( spl21_896
    | ~ spl21_325
    | ~ spl21_842 ),
    inference(avatar_split_clause,[],[f29651,f25508,f5673,f31782]) ).

fof(f31782,plain,
    ( spl21_896
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz10 = sdtpldt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_896])]) ).

fof(f29651,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz10 = sdtpldt0(X0,X1) )
    | ~ spl21_325
    | ~ spl21_842 ),
    inference(forward_demodulation,[],[f25509,f5675]) ).

fof(f31780,plain,
    ( spl21_895
    | ~ spl21_325
    | ~ spl21_844 ),
    inference(avatar_split_clause,[],[f29648,f25681,f5673,f31778]) ).

fof(f31778,plain,
    ( spl21_895
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz10 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_895])]) ).

fof(f29648,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz10 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_325
    | ~ spl21_844 ),
    inference(forward_demodulation,[],[f25682,f5675]) ).

fof(f31772,plain,
    ( spl21_894
    | ~ spl21_325
    | ~ spl21_815 ),
    inference(avatar_split_clause,[],[f29735,f21899,f5673,f31770]) ).

fof(f31770,plain,
    ( spl21_894
  <=> ! [X0,X1] :
        ( xm = X1
        | xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_894])]) ).

fof(f21899,plain,
    ( spl21_815
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | sz00 = sK17(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_815])]) ).

fof(f29735,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_815 ),
    inference(forward_demodulation,[],[f21902,f5675]) ).

fof(f21902,plain,
    ( ! [X0,X1] :
        ( xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_325
    | ~ spl21_815 ),
    inference(forward_demodulation,[],[f21900,f5675]) ).

fof(f21900,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sK17(X1))
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | sz00 = sK17(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_815 ),
    inference(avatar_component_clause,[],[f21899]) ).

fof(f31764,plain,
    ( spl21_893
    | ~ spl21_325
    | ~ spl21_801 ),
    inference(avatar_split_clause,[],[f29744,f21441,f5673,f31762]) ).

fof(f31762,plain,
    ( spl21_893
  <=> ! [X0,X1] :
        ( xm = X1
        | xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_893])]) ).

fof(f21441,plain,
    ( spl21_801
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | sz00 = sK18(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_801])]) ).

fof(f29744,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_801 ),
    inference(forward_demodulation,[],[f21444,f5675]) ).

fof(f21444,plain,
    ( ! [X0,X1] :
        ( xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_325
    | ~ spl21_801 ),
    inference(forward_demodulation,[],[f21442,f5675]) ).

fof(f21442,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sK18(X1))
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | sz00 = sK18(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_801 ),
    inference(avatar_component_clause,[],[f21441]) ).

fof(f31539,plain,
    ( spl21_892
    | ~ spl21_325
    | ~ spl21_764 ),
    inference(avatar_split_clause,[],[f29785,f19979,f5673,f31537]) ).

fof(f31537,plain,
    ( spl21_892
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_892])]) ).

fof(f29785,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 )
    | ~ spl21_325
    | ~ spl21_764 ),
    inference(forward_demodulation,[],[f19980,f5675]) ).

fof(f31535,plain,
    ( spl21_891
    | ~ spl21_325
    | ~ spl21_766 ),
    inference(avatar_split_clause,[],[f29782,f20028,f5673,f31533]) ).

fof(f31533,plain,
    ( spl21_891
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_891])]) ).

fof(f29782,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_766 ),
    inference(forward_demodulation,[],[f20029,f5675]) ).

fof(f31531,plain,
    ( spl21_890
    | ~ spl21_325
    | ~ spl21_769 ),
    inference(avatar_split_clause,[],[f29779,f20083,f5673,f31529]) ).

fof(f31529,plain,
    ( spl21_890
  <=> ! [X2,X0,X1] :
        ( xm = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_890])]) ).

fof(f29779,plain,
    ( ! [X2,X0,X1] :
        ( xm = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_769 ),
    inference(forward_demodulation,[],[f20084,f5675]) ).

fof(f31527,plain,
    ( spl21_889
    | ~ spl21_325
    | ~ spl21_771 ),
    inference(avatar_split_clause,[],[f29776,f20132,f5673,f31525]) ).

fof(f31525,plain,
    ( spl21_889
  <=> ! [X2,X0,X1] :
        ( xm = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_889])]) ).

fof(f29776,plain,
    ( ! [X2,X0,X1] :
        ( xm = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_771 ),
    inference(forward_demodulation,[],[f20133,f5675]) ).

fof(f31519,plain,
    ( spl21_888
    | ~ spl21_325
    | ~ spl21_758 ),
    inference(avatar_split_clause,[],[f29796,f19426,f5673,f31517]) ).

fof(f31517,plain,
    ( spl21_888
  <=> ! [X0] :
        ( xm = X0
        | xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_888])]) ).

fof(f19426,plain,
    ( spl21_758
  <=> ! [X0] :
        ( sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | sz00 = sK17(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_758])]) ).

fof(f29796,plain,
    ( ! [X0] :
        ( xm = X0
        | xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 )
    | ~ spl21_325
    | ~ spl21_758 ),
    inference(forward_demodulation,[],[f19429,f5675]) ).

fof(f19429,plain,
    ( ! [X0] :
        ( xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_325
    | ~ spl21_758 ),
    inference(forward_demodulation,[],[f19427,f5675]) ).

fof(f19427,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK17(X0))
        | sz00 = sK17(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_758 ),
    inference(avatar_component_clause,[],[f19426]) ).

fof(f31294,plain,
    ( spl21_887
    | ~ spl21_325
    | ~ spl21_730 ),
    inference(avatar_split_clause,[],[f29822,f18598,f5673,f31292]) ).

fof(f31292,plain,
    ( spl21_887
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_887])]) ).

fof(f29822,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 )
    | ~ spl21_325
    | ~ spl21_730 ),
    inference(forward_demodulation,[],[f18599,f5675]) ).

fof(f31290,plain,
    ( spl21_886
    | ~ spl21_325
    | ~ spl21_732 ),
    inference(avatar_split_clause,[],[f29819,f18647,f5673,f31288]) ).

fof(f31288,plain,
    ( spl21_886
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_886])]) ).

fof(f29819,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_732 ),
    inference(forward_demodulation,[],[f18648,f5675]) ).

fof(f31286,plain,
    ( spl21_885
    | ~ spl21_325
    | ~ spl21_735 ),
    inference(avatar_split_clause,[],[f29816,f18702,f5673,f31284]) ).

fof(f31284,plain,
    ( spl21_885
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_885])]) ).

fof(f29816,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2 )
    | ~ spl21_325
    | ~ spl21_735 ),
    inference(forward_demodulation,[],[f18703,f5675]) ).

fof(f31282,plain,
    ( spl21_884
    | ~ spl21_325
    | ~ spl21_737 ),
    inference(avatar_split_clause,[],[f29813,f18751,f5673,f31280]) ).

fof(f31280,plain,
    ( spl21_884
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_884])]) ).

fof(f29813,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_737 ),
    inference(forward_demodulation,[],[f18752,f5675]) ).

fof(f31204,plain,
    ( spl21_883
    | ~ spl21_325
    | ~ spl21_721 ),
    inference(avatar_split_clause,[],[f29825,f18550,f5673,f31202]) ).

fof(f31202,plain,
    ( spl21_883
  <=> ! [X0] :
        ( xm = X0
        | xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_883])]) ).

fof(f18550,plain,
    ( spl21_721
  <=> ! [X0] :
        ( sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | sz00 = sK18(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_721])]) ).

fof(f29825,plain,
    ( ! [X0] :
        ( xm = X0
        | xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 )
    | ~ spl21_325
    | ~ spl21_721 ),
    inference(forward_demodulation,[],[f18553,f5675]) ).

fof(f18553,plain,
    ( ! [X0] :
        ( xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_325
    | ~ spl21_721 ),
    inference(forward_demodulation,[],[f18551,f5675]) ).

fof(f18551,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK18(X0))
        | sz00 = sK18(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_721 ),
    inference(avatar_component_clause,[],[f18550]) ).

fof(f31190,plain,
    ( spl21_882
    | ~ spl21_325
    | ~ spl21_689 ),
    inference(avatar_split_clause,[],[f29925,f17255,f5673,f31188]) ).

fof(f31188,plain,
    ( spl21_882
  <=> ! [X0] :
        ( xm = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_882])]) ).

fof(f29925,plain,
    ( ! [X0] :
        ( xm = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 )
    | ~ spl21_325
    | ~ spl21_689 ),
    inference(forward_demodulation,[],[f17256,f5675]) ).

fof(f31119,plain,
    ( spl21_881
    | ~ spl21_325
    | ~ spl21_695 ),
    inference(avatar_split_clause,[],[f29879,f17646,f5673,f31117]) ).

fof(f31117,plain,
    ( spl21_881
  <=> ! [X0,X1] :
        ( xm = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_881])]) ).

fof(f29879,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_695 ),
    inference(forward_demodulation,[],[f17647,f5675]) ).

fof(f31111,plain,
    ( spl21_880
    | ~ spl21_325
    | ~ spl21_656 ),
    inference(avatar_split_clause,[],[f30003,f15907,f5673,f31109]) ).

fof(f31109,plain,
    ( spl21_880
  <=> ! [X0] :
        ( xm = X0
        | sz10 = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_880])]) ).

fof(f30003,plain,
    ( ! [X0] :
        ( xm = X0
        | sz10 = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_656 ),
    inference(forward_demodulation,[],[f15908,f5675]) ).

fof(f30976,plain,
    ( spl21_879
    | ~ spl21_325
    | ~ spl21_650 ),
    inference(avatar_split_clause,[],[f30017,f15494,f5673,f30974]) ).

fof(f30974,plain,
    ( spl21_879
  <=> ! [X0] :
        ( xm = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_879])]) ).

fof(f30017,plain,
    ( ! [X0] :
        ( xm = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 )
    | ~ spl21_325
    | ~ spl21_650 ),
    inference(forward_demodulation,[],[f15495,f5675]) ).

fof(f30972,plain,
    ( spl21_878
    | ~ spl21_325
    | ~ spl21_652 ),
    inference(avatar_split_clause,[],[f30014,f15510,f5673,f30970]) ).

fof(f30970,plain,
    ( spl21_878
  <=> ! [X0,X1] :
        ( xm = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_878])]) ).

fof(f30014,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_652 ),
    inference(forward_demodulation,[],[f15511,f5675]) ).

fof(f30746,plain,
    ( spl21_877
    | ~ spl21_325
    | ~ spl21_604 ),
    inference(avatar_split_clause,[],[f30110,f13460,f5673,f30744]) ).

fof(f30744,plain,
    ( spl21_877
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_877])]) ).

fof(f13460,plain,
    ( spl21_604
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_604])]) ).

fof(f30110,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_604 ),
    inference(forward_demodulation,[],[f13461,f5675]) ).

fof(f13461,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_604 ),
    inference(avatar_component_clause,[],[f13460]) ).

fof(f30742,plain,
    ( spl21_876
    | ~ spl21_325
    | ~ spl21_612 ),
    inference(avatar_split_clause,[],[f30092,f14086,f5673,f30740]) ).

fof(f30740,plain,
    ( spl21_876
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_876])]) ).

fof(f30092,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_612 ),
    inference(forward_demodulation,[],[f14087,f5675]) ).

fof(f30738,plain,
    ( spl21_875
    | ~ spl21_325
    | ~ spl21_614 ),
    inference(avatar_split_clause,[],[f30079,f14142,f5673,f30736]) ).

fof(f30736,plain,
    ( spl21_875
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_875])]) ).

fof(f30079,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_325
    | ~ spl21_614 ),
    inference(forward_demodulation,[],[f14143,f5675]) ).

fof(f30734,plain,
    ( spl21_874
    | ~ spl21_325
    | ~ spl21_616 ),
    inference(avatar_split_clause,[],[f30076,f14191,f5673,f30732]) ).

fof(f30732,plain,
    ( spl21_874
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_874])]) ).

fof(f30076,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_616 ),
    inference(forward_demodulation,[],[f14192,f5675]) ).

fof(f30730,plain,
    ( spl21_873
    | ~ spl21_325
    | ~ spl21_624 ),
    inference(avatar_split_clause,[],[f14304,f14301,f5673,f30728]) ).

fof(f30728,plain,
    ( spl21_873
  <=> ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_873])]) ).

fof(f14301,plain,
    ( spl21_624
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_624])]) ).

fof(f14304,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
    | ~ spl21_325
    | ~ spl21_624 ),
    inference(forward_demodulation,[],[f14302,f5675]) ).

fof(f14302,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
    | ~ spl21_624 ),
    inference(avatar_component_clause,[],[f14301]) ).

fof(f30726,plain,
    ( spl21_872
    | ~ spl21_325
    | ~ spl21_622 ),
    inference(avatar_split_clause,[],[f14261,f14258,f5673,f30724]) ).

fof(f30724,plain,
    ( spl21_872
  <=> ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_872])]) ).

fof(f14258,plain,
    ( spl21_622
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_622])]) ).

fof(f14261,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
    | ~ spl21_325
    | ~ spl21_622 ),
    inference(forward_demodulation,[],[f14259,f5675]) ).

fof(f14259,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
    | ~ spl21_622 ),
    inference(avatar_component_clause,[],[f14258]) ).

fof(f30543,plain,
    ( spl21_871
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(avatar_split_clause,[],[f29467,f29451,f5673,f4964,f4122,f4086,f2039,f372,f352,f30541]) ).

fof(f30541,plain,
    ( spl21_871
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_871])]) ).

fof(f29467,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29466,f4354]) ).

fof(f29466,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xn,xp))
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29465,f4232]) ).

fof(f29465,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,xn))
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29464,f5715]) ).

fof(f29464,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29454,f4966]) ).

fof(f29454,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) )
    | ~ spl21_325
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29452,f5675]) ).

fof(f30516,plain,
    ( spl21_870
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_829 ),
    inference(avatar_split_clause,[],[f29709,f23198,f5673,f4964,f4159,f4086,f2039,f377,f372,f30514]) ).

fof(f30514,plain,
    ( spl21_870
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_870])]) ).

fof(f29709,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23204,f4598]) ).

fof(f23204,plain,
    ( ! [X0] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23203,f5675]) ).

fof(f23203,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23202,f4232]) ).

fof(f23202,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23201,f5715]) ).

fof(f30512,plain,
    ( spl21_869
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_833 ),
    inference(avatar_split_clause,[],[f29706,f23230,f5673,f4964,f4171,f4086,f2039,f387,f372,f30510]) ).

fof(f30510,plain,
    ( spl21_869
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_869])]) ).

fof(f29706,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23236,f4696]) ).

fof(f23236,plain,
    ( ! [X0] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23235,f5675]) ).

fof(f23235,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23234,f4232]) ).

fof(f23234,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23233,f5715]) ).

fof(f30508,plain,
    ( spl21_868
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_836 ),
    inference(avatar_split_clause,[],[f29705,f23250,f5673,f4964,f4175,f4086,f2039,f402,f372,f30506]) ).

fof(f30506,plain,
    ( spl21_868
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_868])]) ).

fof(f29705,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23256,f4729]) ).

fof(f23256,plain,
    ( ! [X0] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23255,f5675]) ).

fof(f23255,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23254,f4232]) ).

fof(f23254,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23253,f5715]) ).

fof(f30286,plain,
    ( spl21_867
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_792 ),
    inference(avatar_split_clause,[],[f29755,f21091,f5673,f4964,f4086,f2039,f372,f30284]) ).

fof(f30284,plain,
    ( spl21_867
  <=> ! [X0,X1] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_867])]) ).

fof(f29755,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21096,f5675]) ).

fof(f21096,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21095,f4232]) ).

fof(f21095,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,xn))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21094,f5715]) ).

fof(f30271,plain,
    ( spl21_866
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_773 ),
    inference(avatar_split_clause,[],[f20277,f20271,f5673,f4964,f4159,f4086,f2039,f377,f372,f30269]) ).

fof(f30269,plain,
    ( spl21_866
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_866])]) ).

fof(f20277,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20276,f4598]) ).

fof(f20276,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20275,f4232]) ).

fof(f20275,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20274,f5715]) ).

fof(f30267,plain,
    ( spl21_865
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_729
    | ~ spl21_829 ),
    inference(avatar_split_clause,[],[f29710,f23198,f18591,f5673,f4964,f4159,f4086,f2039,f377,f372,f30265]) ).

fof(f30265,plain,
    ( spl21_865
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_865])]) ).

fof(f29710,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_729
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f29709,f18593]) ).

fof(f30263,plain,
    ( spl21_864
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(avatar_split_clause,[],[f29708,f23214,f5673,f4964,f4163,f4086,f2039,f1798,f382,f372,f30261]) ).

fof(f30261,plain,
    ( spl21_864
  <=> ! [X0] :
        ( ~ doDivides0(X0,xm)
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_864])]) ).

fof(f1798,plain,
    ( spl21_161
  <=> sz00 = sdtasdt0(sK7,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_161])]) ).

fof(f29708,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xm)
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f29707,f5695]) ).

fof(f5695,plain,
    ( xm = sdtasdt0(sK7,xm)
    | ~ spl21_161
    | ~ spl21_325 ),
    inference(superposition,[],[f1800,f5675]) ).

fof(f1800,plain,
    ( sz00 = sdtasdt0(sK7,sz00)
    | ~ spl21_161 ),
    inference(avatar_component_clause,[],[f1798]) ).

fof(f29707,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23220,f4628]) ).

fof(f23220,plain,
    ( ! [X0] :
        ( xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23219,f5675]) ).

fof(f23219,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23218,f4232]) ).

fof(f23218,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23217,f5715]) ).

fof(f29463,plain,
    ( spl21_863
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(avatar_split_clause,[],[f29459,f29451,f13114,f5673,f4964,f4122,f4086,f2039,f372,f352,f29461]) ).

fof(f29461,plain,
    ( spl21_863
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_863])]) ).

fof(f29459,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29458,f4354]) ).

fof(f29458,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xn,xp))
        | xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29457,f4232]) ).

fof(f29457,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,xn))
        | xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29456,f5715]) ).

fof(f29456,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29455,f4966]) ).

fof(f29455,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | xm = X0
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_862 ),
    inference(forward_demodulation,[],[f29454,f13116]) ).

fof(f29453,plain,
    ( ~ spl21_2
    | ~ spl21_3
    | spl21_862
    | ~ spl21_36
    | ~ spl21_149 ),
    inference(avatar_split_clause,[],[f1719,f1714,f530,f29451,f352,f347]) ).

fof(f1719,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | sP2(xr,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(sK6,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK6)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_36
    | ~ spl21_149 ),
    inference(superposition,[],[f1715,f532]) ).

fof(f29448,plain,
    ( spl21_861
    | ~ spl21_113
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1639,f1619,f1122,f29446]) ).

fof(f29446,plain,
    ( spl21_861
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_861])]) ).

fof(f1122,plain,
    ( spl21_113
  <=> ! [X0,X1] :
        ( iLess0(X0,X1)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_113])]) ).

fof(f1639,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl21_113
    | ~ spl21_142 ),
    inference(resolution,[],[f1620,f1123]) ).

fof(f1123,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | iLess0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_113 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f28791,plain,
    ( spl21_860
    | ~ spl21_325
    | ~ spl21_859 ),
    inference(avatar_split_clause,[],[f28787,f28784,f5673,f28789]) ).

fof(f28789,plain,
    ( spl21_860
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_860])]) ).

fof(f28784,plain,
    ( spl21_859
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_859])]) ).

fof(f28787,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
    | ~ spl21_325
    | ~ spl21_859 ),
    inference(forward_demodulation,[],[f28785,f5675]) ).

fof(f28785,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
    | ~ spl21_859 ),
    inference(avatar_component_clause,[],[f28784]) ).

fof(f28786,plain,
    ( spl21_859
    | ~ spl21_115
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1638,f1619,f1130,f28784]) ).

fof(f1638,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
        | ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
    | ~ spl21_115
    | ~ spl21_142 ),
    inference(resolution,[],[f1620,f1131]) ).

fof(f28711,plain,
    ( spl21_858
    | ~ spl21_113
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1626,f1615,f1122,f28709]) ).

fof(f28709,plain,
    ( spl21_858
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_858])]) ).

fof(f1626,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl21_113
    | ~ spl21_141 ),
    inference(resolution,[],[f1616,f1123]) ).

fof(f27902,plain,
    ( spl21_857
    | ~ spl21_325
    | ~ spl21_856 ),
    inference(avatar_split_clause,[],[f27898,f27895,f5673,f27900]) ).

fof(f27900,plain,
    ( spl21_857
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_857])]) ).

fof(f27895,plain,
    ( spl21_856
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_856])]) ).

fof(f27898,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
    | ~ spl21_325
    | ~ spl21_856 ),
    inference(forward_demodulation,[],[f27896,f5675]) ).

fof(f27896,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
    | ~ spl21_856 ),
    inference(avatar_component_clause,[],[f27895]) ).

fof(f27897,plain,
    ( spl21_856
    | ~ spl21_115
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1625,f1615,f1130,f27895]) ).

fof(f1625,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
        | ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
    | ~ spl21_115
    | ~ spl21_141 ),
    inference(resolution,[],[f1616,f1131]) ).

fof(f27736,plain,
    ( spl21_855
    | ~ spl21_325
    | ~ spl21_854 ),
    inference(avatar_split_clause,[],[f27732,f27729,f5673,f27734]) ).

fof(f27734,plain,
    ( spl21_855
  <=> ! [X0,X3,X2,X1] :
        ( xm = X3
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_855])]) ).

fof(f27729,plain,
    ( spl21_854
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_854])]) ).

fof(f27732,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X3
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_854 ),
    inference(forward_demodulation,[],[f27730,f5675]) ).

fof(f27730,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_854 ),
    inference(avatar_component_clause,[],[f27729]) ).

fof(f27731,plain,
    ( spl21_854
    | ~ spl21_131
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1665,f1649,f1368,f27729]) ).

fof(f1649,plain,
    ( spl21_143
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_143])]) ).

fof(f1665,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_131
    | ~ spl21_143 ),
    inference(duplicate_literal_removal,[],[f1657]) ).

fof(f1657,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_131
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f1369]) ).

fof(f1650,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_143 ),
    inference(avatar_component_clause,[],[f1649]) ).

fof(f26376,plain,
    ( spl21_853
    | ~ spl21_325
    | ~ spl21_852 ),
    inference(avatar_split_clause,[],[f26372,f26369,f5673,f26374]) ).

fof(f26374,plain,
    ( spl21_853
  <=> ! [X0,X3,X2,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_853])]) ).

fof(f26369,plain,
    ( spl21_852
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_852])]) ).

fof(f26372,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_325
    | ~ spl21_852 ),
    inference(forward_demodulation,[],[f26370,f5675]) ).

fof(f26370,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_852 ),
    inference(avatar_component_clause,[],[f26369]) ).

fof(f26371,plain,
    ( spl21_852
    | ~ spl21_126
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1635,f1619,f1294,f26369]) ).

fof(f1635,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_126
    | ~ spl21_142 ),
    inference(resolution,[],[f1620,f1295]) ).

fof(f25960,plain,
    ( spl21_851
    | ~ spl21_325
    | ~ spl21_850 ),
    inference(avatar_split_clause,[],[f25956,f25953,f5673,f25958]) ).

fof(f25958,plain,
    ( spl21_851
  <=> ! [X0,X3,X2,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_851])]) ).

fof(f25953,plain,
    ( spl21_850
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_850])]) ).

fof(f25956,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X2
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_325
    | ~ spl21_850 ),
    inference(forward_demodulation,[],[f25954,f5675]) ).

fof(f25954,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_850 ),
    inference(avatar_component_clause,[],[f25953]) ).

fof(f25955,plain,
    ( spl21_850
    | ~ spl21_126
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1622,f1615,f1294,f25953]) ).

fof(f1622,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_126
    | ~ spl21_141 ),
    inference(resolution,[],[f1616,f1295]) ).

fof(f25951,plain,
    ( spl21_849
    | ~ spl21_119
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1530,f1481,f1205,f25949]) ).

fof(f25949,plain,
    ( spl21_849
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK20(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_849])]) ).

fof(f1530,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK20(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
    | ~ spl21_119
    | ~ spl21_137 ),
    inference(resolution,[],[f1482,f1206]) ).

fof(f25947,plain,
    ( spl21_848
    | ~ spl21_120
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1529,f1481,f1209,f25945]) ).

fof(f25945,plain,
    ( spl21_848
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_848])]) ).

fof(f1529,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
    | ~ spl21_120
    | ~ spl21_137 ),
    inference(resolution,[],[f1482,f1210]) ).

fof(f25943,plain,
    ( spl21_847
    | ~ spl21_119
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1515,f1477,f1205,f25941]) ).

fof(f25941,plain,
    ( spl21_847
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK20(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_847])]) ).

fof(f1515,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK20(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_119
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f1206]) ).

fof(f25880,plain,
    ( spl21_846
    | ~ spl21_120
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1514,f1477,f1209,f25878]) ).

fof(f25878,plain,
    ( spl21_846
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_846])]) ).

fof(f1514,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_120
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f1210]) ).

fof(f25689,plain,
    ( spl21_845
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_844 ),
    inference(avatar_split_clause,[],[f25685,f25681,f13114,f5673,f25687]) ).

fof(f25687,plain,
    ( spl21_845
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | sdtpldt0(X0,X1) = xn
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_845])]) ).

fof(f25685,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | sdtpldt0(X0,X1) = xn
        | doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_844 ),
    inference(forward_demodulation,[],[f25684,f5675]) ).

fof(f25683,plain,
    ( spl21_844
    | ~ spl21_107
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1447,f1372,f1079,f25681]) ).

fof(f1079,plain,
    ( spl21_107
  <=> ! [X0] :
        ( doDivides0(sK18(X0),X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_107])]) ).

fof(f1447,plain,
    ( ! [X0,X1] :
        ( doDivides0(sK18(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK18(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(sdtpldt0(X0,X1)))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_107
    | ~ spl21_132 ),
    inference(resolution,[],[f1373,f1080]) ).

fof(f1080,plain,
    ( ! [X0] :
        ( doDivides0(sK18(X0),X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_107 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f25516,plain,
    ( spl21_843
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_842 ),
    inference(avatar_split_clause,[],[f25512,f25508,f13114,f5673,f25514]) ).

fof(f25514,plain,
    ( spl21_843
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | sdtpldt0(X0,X1) = xn
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_843])]) ).

fof(f25512,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = xm
        | sdtpldt0(X0,X1) = xn
        | doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1)) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_842 ),
    inference(forward_demodulation,[],[f25511,f5675]) ).

fof(f25510,plain,
    ( spl21_842
    | ~ spl21_104
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1446,f1372,f1067,f25508]) ).

fof(f1067,plain,
    ( spl21_104
  <=> ! [X0] :
        ( sP4(X0)
        | doDivides0(sK17(X0),X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).

fof(f1446,plain,
    ( ! [X0,X1] :
        ( doDivides0(sK17(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK17(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(sdtpldt0(X0,X1)))
        | sP4(sdtpldt0(X0,X1))
        | sz10 = sdtpldt0(X0,X1)
        | sz00 = sdtpldt0(X0,X1) )
    | ~ spl21_104
    | ~ spl21_132 ),
    inference(resolution,[],[f1373,f1068]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( doDivides0(sK17(X0),X0)
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_104 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f23289,plain,
    ( spl21_841
    | ~ spl21_113
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1532,f1481,f1122,f23287]) ).

fof(f23287,plain,
    ( spl21_841
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
        | sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_841])]) ).

fof(f1532,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
        | sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
    | ~ spl21_113
    | ~ spl21_137 ),
    inference(resolution,[],[f1482,f1123]) ).

fof(f23285,plain,
    ( spl21_840
    | ~ spl21_115
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1531,f1481,f1130,f23283]) ).

fof(f23283,plain,
    ( spl21_840
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
        | ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_840])]) ).

fof(f1531,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
        | ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0)) )
    | ~ spl21_115
    | ~ spl21_137 ),
    inference(resolution,[],[f1482,f1131]) ).

fof(f23281,plain,
    ( spl21_839
    | ~ spl21_113
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1517,f1477,f1122,f23279]) ).

fof(f23279,plain,
    ( spl21_839
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_839])]) ).

fof(f1517,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl21_113
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f1123]) ).

fof(f23277,plain,
    ( spl21_838
    | ~ spl21_115
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1516,f1477,f1130,f23275]) ).

fof(f23275,plain,
    ( spl21_838
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
        | ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_838])]) ).

fof(f1516,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
        | ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2)) )
    | ~ spl21_115
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f1131]) ).

fof(f23262,plain,
    ( spl21_837
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_836 ),
    inference(avatar_split_clause,[],[f23258,f23250,f13114,f5673,f4964,f4175,f4086,f2039,f402,f372,f23260]) ).

fof(f23260,plain,
    ( spl21_837
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_837])]) ).

fof(f23258,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23257,f4729]) ).

fof(f23257,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_836 ),
    inference(forward_demodulation,[],[f23256,f13116]) ).

fof(f23252,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_836
    | ~ spl21_41
    | ~ spl21_148 ),
    inference(avatar_split_clause,[],[f1712,f1706,f556,f23250,f402,f347]) ).

fof(f1712,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0)
        | sP3(sK12,X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_148 ),
    inference(superposition,[],[f1707,f558]) ).

fof(f23247,plain,
    ( spl21_835
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_833 ),
    inference(avatar_split_clause,[],[f23238,f23230,f13114,f5673,f4964,f4171,f4086,f2039,f387,f372,f23245]) ).

fof(f23245,plain,
    ( spl21_835
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_835])]) ).

fof(f23238,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23237,f4696]) ).

fof(f23237,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_833 ),
    inference(forward_demodulation,[],[f23236,f13116]) ).

fof(f23243,plain,
    ( spl21_834
    | ~ spl21_205
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13775,f13114,f2034,f23240]) ).

fof(f23240,plain,
    ( spl21_834
  <=> sK12 = sdtasdt0(xn,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_834])]) ).

fof(f13775,plain,
    ( sK12 = sdtasdt0(xn,sK12)
    | ~ spl21_205
    | ~ spl21_596 ),
    inference(superposition,[],[f2036,f13116]) ).

fof(f23232,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_833
    | ~ spl21_39
    | ~ spl21_148 ),
    inference(avatar_split_clause,[],[f1711,f1706,f545,f23230,f387,f342]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xk,X0)
        | sP3(sK9,X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_39
    | ~ spl21_148 ),
    inference(superposition,[],[f1707,f547]) ).

fof(f23227,plain,
    ( spl21_832
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_831 ),
    inference(avatar_split_clause,[],[f23223,f23214,f13114,f5673,f4964,f4163,f4086,f2039,f1798,f382,f372,f23225]) ).

fof(f23225,plain,
    ( spl21_832
  <=> ! [X0] :
        ( ~ doDivides0(X0,xm)
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_832])]) ).

fof(f23223,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xm)
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23222,f5695]) ).

fof(f23222,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23221,f4628]) ).

fof(f23221,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_831 ),
    inference(forward_demodulation,[],[f23220,f13116]) ).

fof(f23216,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_831
    | ~ spl21_38
    | ~ spl21_148 ),
    inference(avatar_split_clause,[],[f1710,f1706,f540,f23214,f382,f367]) ).

fof(f1710,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xm,X0)
        | sP3(sK7,X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_38
    | ~ spl21_148 ),
    inference(superposition,[],[f1707,f542]) ).

fof(f23211,plain,
    ( spl21_830
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_729
    | ~ spl21_829 ),
    inference(avatar_split_clause,[],[f23207,f23198,f18591,f13114,f5673,f4964,f4159,f4086,f2039,f377,f372,f23209]) ).

fof(f23209,plain,
    ( spl21_830
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_830])]) ).

fof(f23207,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_729
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23206,f18593]) ).

fof(f23206,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK8,xn))
        | xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23205,f4598]) ).

fof(f23205,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = X0
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_829 ),
    inference(forward_demodulation,[],[f23204,f13116]) ).

fof(f23200,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_829
    | ~ spl21_37
    | ~ spl21_148 ),
    inference(avatar_split_clause,[],[f1709,f1706,f535,f23198,f377,f362]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0)
        | sP3(sK8,X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_148 ),
    inference(superposition,[],[f1707,f537]) ).

fof(f23196,plain,
    ( ~ spl21_7
    | ~ spl21_11
    | ~ spl21_12
    | spl21_826
    | ~ spl21_71
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1702,f1692,f698,f22958,f397,f392,f372]) ).

fof(f1692,plain,
    ( spl21_147
  <=> ! [X0,X3,X2,X1] :
        ( sP3(X1,X2)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_147])]) ).

fof(f1702,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(X0,xp)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xp)
        | ~ aNaturalNumber0(sK10)
        | ~ isPrime0(xp)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_71
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f700]) ).

fof(f1693,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
        | sP2(X0,X2)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X2)
        | ~ aNaturalNumber0(X3)
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_147 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f22973,plain,
    ( spl21_828
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_826 ),
    inference(avatar_split_clause,[],[f22964,f22958,f5673,f4964,f4175,f4086,f2039,f407,f372,f22971]) ).

fof(f22964,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_826 ),
    inference(forward_demodulation,[],[f22963,f4232]) ).

fof(f22963,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xp)
        | sP2(X0,xp) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_826 ),
    inference(forward_demodulation,[],[f22962,f5715]) ).

fof(f22969,plain,
    ( spl21_827
    | ~ spl21_203
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13774,f13114,f2024,f22966]) ).

fof(f22966,plain,
    ( spl21_827
  <=> sK11 = sdtasdt0(xn,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_827])]) ).

fof(f13774,plain,
    ( sK11 = sdtasdt0(xn,sK11)
    | ~ spl21_203
    | ~ spl21_596 ),
    inference(superposition,[],[f2026,f13116]) ).

fof(f22960,plain,
    ( ~ spl21_7
    | ~ spl21_11
    | ~ spl21_1
    | spl21_826
    | ~ spl21_68
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1701,f1692,f683,f22958,f342,f392,f372]) ).

fof(f1701,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(X0,xp)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xp)
        | ~ aNaturalNumber0(xk)
        | ~ isPrime0(xp)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_68
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f685]) ).

fof(f22956,plain,
    ( ~ spl21_5
    | ~ spl21_824
    | ~ spl21_6
    | spl21_825
    | ~ spl21_65
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1700,f1692,f670,f22954,f367,f22950,f362]) ).

fof(f22950,plain,
    ( spl21_824
  <=> isPrime0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_824])]) ).

fof(f22954,plain,
    ( spl21_825
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_825])]) ).

fof(f1700,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(X0,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xn)
        | ~ aNaturalNumber0(xm)
        | ~ isPrime0(xn)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_65
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f672]) ).

fof(f22793,plain,
    ( spl21_823
    | ~ spl21_7
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_822 ),
    inference(avatar_split_clause,[],[f22789,f22782,f5673,f4964,f4175,f4114,f4086,f2039,f407,f397,f372,f22791]) ).

fof(f22791,plain,
    ( spl21_823
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_823])]) ).

fof(f22789,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK10,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22788,f4299]) ).

fof(f22788,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22787,f4232]) ).

fof(f22787,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK10,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_822 ),
    inference(forward_demodulation,[],[f22786,f5715]) ).

fof(f22784,plain,
    ( ~ spl21_7
    | ~ spl21_12
    | spl21_822
    | ~ spl21_71
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1698,f1692,f698,f22782,f397,f372]) ).

fof(f1698,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(sK10,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_71
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f700]) ).

fof(f22625,plain,
    ( spl21_821
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_820 ),
    inference(avatar_split_clause,[],[f22621,f22614,f5673,f4964,f4175,f4114,f4086,f2039,f407,f372,f342,f22623]) ).

fof(f22623,plain,
    ( spl21_821
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_821])]) ).

fof(f22621,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xk,xp),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_254
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22620,f4293]) ).

fof(f22620,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22619,f4232]) ).

fof(f22619,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xk,X0)
        | sP2(xp,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_820 ),
    inference(forward_demodulation,[],[f22618,f5715]) ).

fof(f22616,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | spl21_820
    | ~ spl21_68
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1697,f1692,f683,f22614,f342,f372]) ).

fof(f1697,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xp,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(xk,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_68
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f685]) ).

fof(f22448,plain,
    ( spl21_819
    | ~ spl21_202
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13773,f13114,f2019,f22445]) ).

fof(f22445,plain,
    ( spl21_819
  <=> sK10 = sdtasdt0(xn,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_819])]) ).

fof(f13773,plain,
    ( sK10 = sdtasdt0(xn,sK10)
    | ~ spl21_202
    | ~ spl21_596 ),
    inference(superposition,[],[f2021,f13116]) ).

fof(f22443,plain,
    ( spl21_818
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_817 ),
    inference(avatar_split_clause,[],[f22439,f22433,f5673,f4964,f4175,f4086,f2039,f407,f372,f22441]) ).

fof(f22439,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_817 ),
    inference(forward_demodulation,[],[f22438,f4232]) ).

fof(f22438,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(xm,X0)
        | sP2(xn,X0) )
    | ~ spl21_14
    | ~ spl21_206
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_817 ),
    inference(forward_demodulation,[],[f22437,f5715]) ).

fof(f22435,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_817
    | ~ spl21_65
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1696,f1692,f670,f22433,f367,f362]) ).

fof(f1696,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(xn,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(xm,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_65
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f672]) ).

fof(f21908,plain,
    ( spl21_816
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_815 ),
    inference(avatar_split_clause,[],[f21904,f21899,f13114,f5673,f21906]) ).

fof(f21906,plain,
    ( spl21_816
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_816])]) ).

fof(f21904,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_815 ),
    inference(forward_demodulation,[],[f21903,f5675]) ).

fof(f21903,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | xm = sK17(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_815 ),
    inference(forward_demodulation,[],[f21902,f13116]) ).

fof(f21901,plain,
    ( spl21_815
    | ~ spl21_104
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1662,f1649,f1067,f21899]) ).

fof(f1662,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK17(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK17(X1))
        | sz00 = sK17(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_104
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f1068]) ).

fof(f21897,plain,
    ( spl21_814
    | ~ spl21_126
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1528,f1481,f1294,f21895]) ).

fof(f21895,plain,
    ( spl21_814
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X2,X0))
        | ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_814])]) ).

fof(f1528,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X2,X0))
        | ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_126
    | ~ spl21_137 ),
    inference(resolution,[],[f1482,f1295]) ).

fof(f21893,plain,
    ( spl21_813
    | ~ spl21_126
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1513,f1477,f1294,f21891]) ).

fof(f21891,plain,
    ( spl21_813
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X0,X2))
        | ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_813])]) ).

fof(f1513,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X0,X2))
        | ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_126
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f1295]) ).

fof(f21710,plain,
    ( spl21_812
    | ~ spl21_201
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13772,f13114,f2014,f21707]) ).

fof(f21707,plain,
    ( spl21_812
  <=> sK9 = sdtasdt0(xn,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_812])]) ).

fof(f13772,plain,
    ( sK9 = sdtasdt0(xn,sK9)
    | ~ spl21_201
    | ~ spl21_596 ),
    inference(superposition,[],[f2016,f13116]) ).

fof(f21705,plain,
    ( spl21_811
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_810 ),
    inference(avatar_split_clause,[],[f21701,f21696,f5673,f4964,f4086,f2039,f372,f21703]) ).

fof(f21701,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_810 ),
    inference(forward_demodulation,[],[f21700,f4232]) ).

fof(f21700,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(X1,xr)
        | sP2(X0,xr) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_810 ),
    inference(forward_demodulation,[],[f21699,f5715]) ).

fof(f21698,plain,
    ( ~ spl21_2
    | ~ spl21_4
    | ~ spl21_3
    | spl21_810
    | ~ spl21_36
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1699,f1692,f530,f21696,f352,f357,f347]) ).

fof(f1699,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | sP2(X0,xr)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xr)
        | ~ aNaturalNumber0(sK6)
        | ~ isPrime0(xr)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_36
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f532]) ).

fof(f21561,plain,
    ( spl21_809
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_808 ),
    inference(avatar_split_clause,[],[f21557,f21551,f5673,f4964,f4122,f4086,f2039,f372,f352,f21559]) ).

fof(f21559,plain,
    ( spl21_809
  <=> ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_809])]) ).

fof(f21557,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(sK6,xr),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_256
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_808 ),
    inference(forward_demodulation,[],[f21556,f4354]) ).

fof(f21556,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xn,xp))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_808 ),
    inference(forward_demodulation,[],[f21555,f4232]) ).

fof(f21555,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(xp,xn))
        | sdtasdt0(X0,X1) != xk
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X1)
        | sP3(sK6,X0)
        | sP2(xr,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_808 ),
    inference(forward_demodulation,[],[f21554,f5715]) ).

fof(f21553,plain,
    ( ~ spl21_2
    | ~ spl21_3
    | spl21_808
    | ~ spl21_36
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1695,f1692,f530,f21551,f352,f347]) ).

fof(f1695,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != xk
        | sP2(xr,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(xr,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(sK6,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK6)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_36
    | ~ spl21_147 ),
    inference(superposition,[],[f1693,f532]) ).

fof(f21514,plain,
    ( spl21_807
    | ~ spl21_325
    | ~ spl21_806 ),
    inference(avatar_split_clause,[],[f21510,f21507,f5673,f21512]) ).

fof(f21512,plain,
    ( spl21_807
  <=> ! [X0,X3,X2,X1] :
        ( xm = X2
        | sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_807])]) ).

fof(f21507,plain,
    ( spl21_806
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X2,X1)
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_806])]) ).

fof(f21510,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X2
        | sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_806 ),
    inference(forward_demodulation,[],[f21508,f5675]) ).

fof(f21508,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X2,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_806 ),
    inference(avatar_component_clause,[],[f21507]) ).

fof(f21509,plain,
    ( spl21_806
    | ~ spl21_121
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1574,f1489,f1213,f21507]) ).

fof(f1213,plain,
    ( spl21_121
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtsldt0(X1,X0))
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_121])]) ).

fof(f1489,plain,
    ( spl21_139
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_139])]) ).

fof(f1574,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X2,X1)
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_121
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f1214]) ).

fof(f1214,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtsldt0(X1,X0))
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_121 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1490,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_139 ),
    inference(avatar_component_clause,[],[f1489]) ).

fof(f21470,plain,
    ( spl21_805
    | ~ spl21_325
    | ~ spl21_803 ),
    inference(avatar_split_clause,[],[f21461,f21458,f5673,f21468]) ).

fof(f21468,plain,
    ( spl21_805
  <=> ! [X0,X3,X2,X1] :
        ( xm = X3
        | sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_805])]) ).

fof(f21458,plain,
    ( spl21_803
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_803])]) ).

fof(f21461,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X3
        | sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_325
    | ~ spl21_803 ),
    inference(forward_demodulation,[],[f21459,f5675]) ).

fof(f21459,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_803 ),
    inference(avatar_component_clause,[],[f21458]) ).

fof(f21466,plain,
    ( spl21_804
    | ~ spl21_200
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13771,f13114,f2009,f21463]) ).

fof(f13771,plain,
    ( sK8 = sdtasdt0(xn,sK8)
    | ~ spl21_200
    | ~ spl21_596 ),
    inference(superposition,[],[f2011,f13116]) ).

fof(f21460,plain,
    ( spl21_803
    | ~ spl21_121
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1548,f1485,f1213,f21458]) ).

fof(f1485,plain,
    ( spl21_138
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_138])]) ).

fof(f1548,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_121
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f1214]) ).

fof(f1486,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_138 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f21450,plain,
    ( spl21_802
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_801 ),
    inference(avatar_split_clause,[],[f21446,f21441,f13114,f5673,f21448]) ).

fof(f21448,plain,
    ( spl21_802
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_802])]) ).

fof(f21446,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1)) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_801 ),
    inference(forward_demodulation,[],[f21445,f5675]) ).

fof(f21445,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | xm = sK18(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz00 = X1 )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_801 ),
    inference(forward_demodulation,[],[f21444,f13116]) ).

fof(f21443,plain,
    ( spl21_801
    | ~ spl21_107
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1664,f1649,f1079,f21441]) ).

fof(f1664,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | sz00 = sK18(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_107
    | ~ spl21_143 ),
    inference(duplicate_literal_removal,[],[f1663]) ).

fof(f1663,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK18(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK18(X1))
        | sz00 = sK18(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_107
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f1080]) ).

fof(f21282,plain,
    ( spl21_800
    | ~ spl21_325
    | ~ spl21_799 ),
    inference(avatar_split_clause,[],[f21278,f21275,f5673,f21280]) ).

fof(f21280,plain,
    ( spl21_800
  <=> ! [X2,X0,X1] :
        ( xm = X0
        | sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_800])]) ).

fof(f21275,plain,
    ( spl21_799
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_799])]) ).

fof(f21278,plain,
    ( ! [X2,X0,X1] :
        ( xm = X0
        | sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_799 ),
    inference(forward_demodulation,[],[f21276,f5675]) ).

fof(f21276,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | sz00 = X0
        | sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_799 ),
    inference(avatar_component_clause,[],[f21275]) ).

fof(f21277,plain,
    ( spl21_799
    | ~ spl21_131
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1463,f1376,f1368,f21275]) ).

fof(f1376,plain,
    ( spl21_133
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_133])]) ).

fof(f1463,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_131
    | ~ spl21_133 ),
    inference(duplicate_literal_removal,[],[f1455]) ).

fof(f1455,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_131
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f1369]) ).

fof(f1377,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_133 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f21238,plain,
    ( spl21_798
    | ~ spl21_325
    | ~ spl21_797 ),
    inference(avatar_split_clause,[],[f21234,f21231,f5673,f21236]) ).

fof(f21236,plain,
    ( spl21_798
  <=> ! [X0,X3,X2,X1] :
        ( xm = X3
        | sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_798])]) ).

fof(f21231,plain,
    ( spl21_797
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_797])]) ).

fof(f21234,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X3
        | sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_325
    | ~ spl21_797 ),
    inference(forward_demodulation,[],[f21232,f5675]) ).

fof(f21232,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_797 ),
    inference(avatar_component_clause,[],[f21231]) ).

fof(f21233,plain,
    ( spl21_797
    | ~ spl21_121
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1410,f1362,f1213,f21231]) ).

fof(f1410,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_121
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f1214]) ).

fof(f21229,plain,
    ( spl21_796
    | ~ spl21_199
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13770,f13114,f2004,f21226]) ).

fof(f21226,plain,
    ( spl21_796
  <=> sK7 = sdtasdt0(xn,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_796])]) ).

fof(f13770,plain,
    ( sK7 = sdtasdt0(xn,sK7)
    | ~ spl21_199
    | ~ spl21_596 ),
    inference(superposition,[],[f2006,f13116]) ).

fof(f21189,plain,
    ( spl21_795
    | ~ spl21_325
    | ~ spl21_794 ),
    inference(avatar_split_clause,[],[f21185,f21182,f5673,f21187]) ).

fof(f21187,plain,
    ( spl21_795
  <=> ! [X0,X3,X2,X1] :
        ( xm = X3
        | sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_795])]) ).

fof(f21182,plain,
    ( spl21_794
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_794])]) ).

fof(f21185,plain,
    ( ! [X2,X3,X0,X1] :
        ( xm = X3
        | sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_325
    | ~ spl21_794 ),
    inference(forward_demodulation,[],[f21183,f5675]) ).

fof(f21183,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_794 ),
    inference(avatar_component_clause,[],[f21182]) ).

fof(f21184,plain,
    ( spl21_794
    | ~ spl21_121
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1384,f1358,f1213,f21182]) ).

fof(f1384,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X3,X2)
        | sz00 = X3
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_121
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f1214]) ).

fof(f21102,plain,
    ( spl21_793
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_792 ),
    inference(avatar_split_clause,[],[f21098,f21091,f13114,f5673,f4964,f4086,f2039,f372,f21100]) ).

fof(f21100,plain,
    ( spl21_793
  <=> ! [X0,X1] :
        ( xm = X0
        | xn = X0
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_793])]) ).

fof(f21098,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | xn = X0
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21097,f5675]) ).

fof(f21097,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_792 ),
    inference(forward_demodulation,[],[f21096,f13116]) ).

fof(f21093,plain,
    ( spl21_792
    | ~ spl21_149 ),
    inference(avatar_split_clause,[],[f1728,f1714,f21091]) ).

fof(f1728,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_149 ),
    inference(duplicate_literal_removal,[],[f1727]) ).

fof(f1727,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | sP1(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_149 ),
    inference(equality_resolution,[],[f1715]) ).

fof(f20788,plain,
    ( spl21_791
    | ~ spl21_198
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13769,f13114,f1999,f20785]) ).

fof(f20785,plain,
    ( spl21_791
  <=> sK6 = sdtasdt0(xn,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_791])]) ).

fof(f13769,plain,
    ( sK6 = sdtasdt0(xn,sK6)
    | ~ spl21_198
    | ~ spl21_596 ),
    inference(superposition,[],[f2001,f13116]) ).

fof(f20394,plain,
    ( spl21_790
    | ~ spl21_325
    | ~ spl21_789 ),
    inference(avatar_split_clause,[],[f20390,f20387,f5673,f20392]) ).

fof(f20387,plain,
    ( spl21_789
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_789])]) ).

fof(f20390,plain,
    ( ! [X2,X0,X1] :
        ( xm = X1
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_789 ),
    inference(forward_demodulation,[],[f20388,f5675]) ).

fof(f20388,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_789 ),
    inference(avatar_component_clause,[],[f20387]) ).

fof(f20389,plain,
    ( spl21_789
    | ~ spl21_116
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1666,f1649,f1134,f20387]) ).

fof(f1666,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_116
    | ~ spl21_143 ),
    inference(duplicate_literal_removal,[],[f1656]) ).

fof(f1656,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f1135]) ).

fof(f20385,plain,
    ( spl21_788
    | ~ spl21_100
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1594,f1489,f964,f20383]) ).

fof(f20383,plain,
    ( spl21_788
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK20(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK20(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_788])]) ).

fof(f964,plain,
    ( spl21_100
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK20(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).

fof(f1594,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK20(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK20(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_100
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f965]) ).

fof(f965,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK20(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_100 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f20381,plain,
    ( spl21_787
    | ~ spl21_99
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1593,f1489,f960,f20379]) ).

fof(f20379,plain,
    ( spl21_787
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK19(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK19(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_787])]) ).

fof(f960,plain,
    ( spl21_99
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK19(X0,X1))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).

fof(f1593,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK19(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK19(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_99
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f961]) ).

fof(f961,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK19(X0,X1))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_99 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f20377,plain,
    ( spl21_786
    | ~ spl21_102
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1573,f1489,f973,f20375]) ).

fof(f20375,plain,
    ( spl21_786
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtmndt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtmndt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_786])]) ).

fof(f973,plain,
    ( spl21_102
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).

fof(f1573,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtmndt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtmndt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_102
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f974]) ).

fof(f974,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_102 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f20373,plain,
    ( spl21_785
    | ~ spl21_100
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1568,f1485,f964,f20371]) ).

fof(f20371,plain,
    ( spl21_785
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK20(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_785])]) ).

fof(f1568,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK20(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_100
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f965]) ).

fof(f20369,plain,
    ( spl21_784
    | ~ spl21_99
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1567,f1485,f960,f20367]) ).

fof(f20367,plain,
    ( spl21_784
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK19(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_784])]) ).

fof(f1567,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK19(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_99
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f961]) ).

fof(f20365,plain,
    ( spl21_783
    | ~ spl21_197
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13768,f13114,f1994,f20362]) ).

fof(f13768,plain,
    ( xr = sdtasdt0(xn,xr)
    | ~ spl21_197
    | ~ spl21_596 ),
    inference(superposition,[],[f1996,f13116]) ).

fof(f20360,plain,
    ( spl21_782
    | ~ spl21_102
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1547,f1485,f973,f20358]) ).

fof(f20358,plain,
    ( spl21_782
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_782])]) ).

fof(f1547,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_102
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f974]) ).

fof(f20342,plain,
    ( spl21_781
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_780 ),
    inference(avatar_split_clause,[],[f20338,f20332,f5673,f4964,f4175,f4086,f2039,f402,f372,f20340]) ).

fof(f20340,plain,
    ( spl21_781
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_781])]) ).

fof(f20338,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_13
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_269
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_780 ),
    inference(forward_demodulation,[],[f20337,f4729]) ).

fof(f20337,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_780 ),
    inference(forward_demodulation,[],[f20336,f4232]) ).

fof(f20336,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | sP3(sK12,X0)
        | sP2(xr,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_780 ),
    inference(forward_demodulation,[],[f20335,f5715]) ).

fof(f20334,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_780
    | ~ spl21_41
    | ~ spl21_145 ),
    inference(avatar_split_clause,[],[f1690,f1679,f556,f20332,f402,f347]) ).

fof(f1690,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xr,X0)
        | sP3(sK12,X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_145 ),
    inference(superposition,[],[f1680,f558]) ).

fof(f20324,plain,
    ( spl21_779
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_778 ),
    inference(avatar_split_clause,[],[f20320,f20314,f5673,f4964,f4171,f4086,f2039,f387,f372,f20322]) ).

fof(f20322,plain,
    ( spl21_779
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_779])]) ).

fof(f20320,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK9,xk))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_10
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_268
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_778 ),
    inference(forward_demodulation,[],[f20319,f4696]) ).

fof(f20319,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_778 ),
    inference(forward_demodulation,[],[f20318,f4232]) ).

fof(f20318,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | sP3(sK9,X0)
        | sP2(xk,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_778 ),
    inference(forward_demodulation,[],[f20317,f5715]) ).

fof(f20316,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_778
    | ~ spl21_39
    | ~ spl21_145 ),
    inference(avatar_split_clause,[],[f1689,f1679,f545,f20314,f387,f342]) ).

fof(f1689,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xk,X0)
        | sP3(sK9,X0)
        | ~ doDivides0(X0,sdtasdt0(xk,sK9))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_39
    | ~ spl21_145 ),
    inference(superposition,[],[f1680,f547]) ).

fof(f20306,plain,
    ( spl21_777
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_776 ),
    inference(avatar_split_clause,[],[f20302,f20295,f5673,f4964,f4163,f4086,f2039,f1798,f382,f372,f20304]) ).

fof(f20304,plain,
    ( spl21_777
  <=> ! [X0] :
        ( ~ doDivides0(X0,xm)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_777])]) ).

fof(f20302,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xm)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_161
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20301,f5695]) ).

fof(f20301,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK7,xm))
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_9
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_266
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20300,f4628]) ).

fof(f20300,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20299,f4232]) ).

fof(f20299,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xp,xn))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | sP3(sK7,X0)
        | sP2(xm,X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_776 ),
    inference(forward_demodulation,[],[f20298,f5715]) ).

fof(f20297,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_776
    | ~ spl21_38
    | ~ spl21_145 ),
    inference(avatar_split_clause,[],[f1688,f1679,f540,f20295,f382,f367]) ).

fof(f1688,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xm,X0)
        | sP3(sK7,X0)
        | ~ doDivides0(X0,sdtasdt0(xm,sK7))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_38
    | ~ spl21_145 ),
    inference(superposition,[],[f1680,f542]) ).

fof(f20293,plain,
    ( spl21_775
    | ~ spl21_196
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13767,f13114,f1989,f20290]) ).

fof(f20290,plain,
    ( spl21_775
  <=> xk = sdtasdt0(xn,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_775])]) ).

fof(f13767,plain,
    ( xk = sdtasdt0(xn,xk)
    | ~ spl21_196
    | ~ spl21_596 ),
    inference(superposition,[],[f1991,f13116]) ).

fof(f20282,plain,
    ( spl21_774
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_729
    | ~ spl21_773 ),
    inference(avatar_split_clause,[],[f20278,f20271,f18591,f5673,f4964,f4159,f4086,f2039,f377,f372,f20280]) ).

fof(f20280,plain,
    ( spl21_774
  <=> ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_774])]) ).

fof(f20278,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK8)
        | ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP3(sK8,X0)
        | sP2(xn,X0) )
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_265
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_729
    | ~ spl21_773 ),
    inference(forward_demodulation,[],[f20277,f18593]) ).

fof(f20273,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_773
    | ~ spl21_37
    | ~ spl21_145 ),
    inference(avatar_split_clause,[],[f1687,f1679,f535,f20271,f377,f362]) ).

fof(f1687,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP2(xn,X0)
        | sP3(sK8,X0)
        | ~ doDivides0(X0,sdtasdt0(xn,sK8))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_145 ),
    inference(superposition,[],[f1680,f537]) ).

fof(f20140,plain,
    ( spl21_772
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_771 ),
    inference(avatar_split_clause,[],[f20136,f20132,f13114,f5673,f20138]) ).

fof(f20138,plain,
    ( spl21_772
  <=> ! [X2,X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_772])]) ).

fof(f20136,plain,
    ( ! [X2,X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_771 ),
    inference(forward_demodulation,[],[f20135,f5675]) ).

fof(f20134,plain,
    ( spl21_771
    | ~ spl21_95
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1592,f1489,f944,f20132]) ).

fof(f944,plain,
    ( spl21_95
  <=> ! [X0] :
        ( aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).

fof(f1592,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK18(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK18(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_95
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f945]) ).

fof(f945,plain,
    ( ! [X0] :
        ( aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_95 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f20091,plain,
    ( spl21_770
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_769 ),
    inference(avatar_split_clause,[],[f20087,f20083,f13114,f5673,f20089]) ).

fof(f20089,plain,
    ( spl21_770
  <=> ! [X2,X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_770])]) ).

fof(f20087,plain,
    ( ! [X2,X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_769 ),
    inference(forward_demodulation,[],[f20086,f5675]) ).

fof(f20085,plain,
    ( spl21_769
    | ~ spl21_94
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1591,f1489,f940,f20083]) ).

fof(f940,plain,
    ( spl21_94
  <=> ! [X0] :
        ( sP4(X0)
        | aNaturalNumber0(sK17(X0))
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_94])]) ).

fof(f1591,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK17(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK17(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_94
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f941]) ).

fof(f941,plain,
    ( ! [X0] :
        ( aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_94 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f20081,plain,
    ( spl21_768
    | ~ spl21_195
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13766,f13114,f1984,f20078]) ).

fof(f20078,plain,
    ( spl21_768
  <=> xp = sdtasdt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_768])]) ).

fof(f13766,plain,
    ( xp = sdtasdt0(xn,xp)
    | ~ spl21_195
    | ~ spl21_596 ),
    inference(superposition,[],[f1986,f13116]) ).

fof(f20036,plain,
    ( spl21_767
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_766 ),
    inference(avatar_split_clause,[],[f20032,f20028,f13114,f5673,f20034]) ).

fof(f20034,plain,
    ( spl21_767
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_767])]) ).

fof(f20032,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_766 ),
    inference(forward_demodulation,[],[f20031,f5675]) ).

fof(f20030,plain,
    ( spl21_766
    | ~ spl21_95
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1566,f1485,f944,f20028]) ).

fof(f1566,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK18(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_95
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f945]) ).

fof(f19987,plain,
    ( spl21_765
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_764 ),
    inference(avatar_split_clause,[],[f19983,f19979,f13114,f5673,f19985]) ).

fof(f19985,plain,
    ( spl21_765
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_765])]) ).

fof(f19983,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_764 ),
    inference(forward_demodulation,[],[f19982,f5675]) ).

fof(f19981,plain,
    ( spl21_764
    | ~ spl21_94
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1565,f1485,f940,f19979]) ).

fof(f1565,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK17(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_94
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f941]) ).

fof(f19977,plain,
    ( spl21_763
    | ~ spl21_118
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1442,f1368,f1201,f19975]) ).

fof(f19975,plain,
    ( spl21_763
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = sdtasdt0(X0,sK19(X0,sdtpldt0(X2,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_763])]) ).

fof(f1201,plain,
    ( spl21_118
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sK19(X0,X1)) = X1
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_118])]) ).

fof(f1442,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = sdtasdt0(X0,sK19(X0,sdtpldt0(X2,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
    | ~ spl21_118
    | ~ spl21_131 ),
    inference(duplicate_literal_removal,[],[f1432]) ).

fof(f1432,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = sdtasdt0(X0,sK19(X0,sdtpldt0(X2,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_118
    | ~ spl21_131 ),
    inference(resolution,[],[f1369,f1202]) ).

fof(f1202,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sdtasdt0(X0,sK19(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_118 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f19762,plain,
    ( spl21_762
    | ~ spl21_194
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13765,f13114,f1979,f19759]) ).

fof(f13765,plain,
    ( xm = sdtasdt0(xn,xm)
    | ~ spl21_194
    | ~ spl21_596 ),
    inference(superposition,[],[f1981,f13116]) ).

fof(f19450,plain,
    ( spl21_761
    | ~ spl21_325
    | ~ spl21_760 ),
    inference(avatar_split_clause,[],[f19446,f19443,f5673,f19448]) ).

fof(f19448,plain,
    ( spl21_761
  <=> ! [X0,X1] :
        ( xm = sK15(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK15(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK15(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_761])]) ).

fof(f19443,plain,
    ( spl21_760
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK15(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK15(X1))
        | sz00 = sK15(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_760])]) ).

fof(f19446,plain,
    ( ! [X0,X1] :
        ( xm = sK15(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK15(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK15(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ sP1(X1) )
    | ~ spl21_325
    | ~ spl21_760 ),
    inference(forward_demodulation,[],[f19444,f5675]) ).

fof(f19444,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sK15(X1))
        | sdtasdt0(X0,sdtsldt0(X1,sK15(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK15(X1))
        | sz00 = sK15(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) )
    | ~ spl21_760 ),
    inference(avatar_component_clause,[],[f19443]) ).

fof(f19445,plain,
    ( spl21_760
    | ~ spl21_54
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1661,f1649,f617,f19443]) ).

fof(f617,plain,
    ( spl21_54
  <=> ! [X0] :
        ( doDivides0(sK15(X0),X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).

fof(f1661,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(X1,sK15(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK15(X1))
        | sz00 = sK15(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ sP1(X1) )
    | ~ spl21_54
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f618]) ).

fof(f618,plain,
    ( ! [X0] :
        ( doDivides0(sK15(X0),X0)
        | ~ sP1(X0) )
    | ~ spl21_54 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f19435,plain,
    ( spl21_759
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_758 ),
    inference(avatar_split_clause,[],[f19431,f19426,f13114,f5673,f19433]) ).

fof(f19433,plain,
    ( spl21_759
  <=> ! [X0] :
        ( xm = X0
        | xn = X0
        | xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_759])]) ).

fof(f19431,plain,
    ( ! [X0] :
        ( xm = X0
        | xn = X0
        | xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_758 ),
    inference(forward_demodulation,[],[f19430,f5675]) ).

fof(f19430,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = sK17(X0)
        | sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz00 = X0 )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_758 ),
    inference(forward_demodulation,[],[f19429,f13116]) ).

fof(f19428,plain,
    ( spl21_758
    | ~ spl21_104
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1460,f1376,f1067,f19426]) ).

fof(f1460,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sdtsldt0(X0,sK17(X0))) = X0
        | sz00 = sK17(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_104
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f1068]) ).

fof(f19424,plain,
    ( spl21_757
    | ~ spl21_191
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13763,f13114,f1964,f19421]) ).

fof(f19421,plain,
    ( spl21_757
  <=> sK12 = sdtasdt0(sK12,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_757])]) ).

fof(f1964,plain,
    ( spl21_191
  <=> sK12 = sdtasdt0(sK12,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_191])]) ).

fof(f13763,plain,
    ( sK12 = sdtasdt0(sK12,xn)
    | ~ spl21_191
    | ~ spl21_596 ),
    inference(superposition,[],[f1966,f13116]) ).

fof(f1966,plain,
    ( sK12 = sdtasdt0(sK12,sz10)
    | ~ spl21_191 ),
    inference(avatar_component_clause,[],[f1964]) ).

fof(f19419,plain,
    ( spl21_756
    | ~ spl21_125
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1443,f1368,f1288,f19417]) ).

fof(f19417,plain,
    ( spl21_756
  <=> ! [X0,X3,X2,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_756])]) ).

fof(f1288,plain,
    ( spl21_125
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,X2)
        | ~ doDivides0(X1,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_125])]) ).

fof(f1443,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_125
    | ~ spl21_131 ),
    inference(duplicate_literal_removal,[],[f1431]) ).

fof(f1431,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_125
    | ~ spl21_131 ),
    inference(resolution,[],[f1369,f1289]) ).

fof(f1289,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X1,X2)
        | doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_125 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f19194,plain,
    ( spl21_755
    | ~ spl21_325
    | ~ spl21_754 ),
    inference(avatar_split_clause,[],[f19190,f19187,f5673,f19192]) ).

fof(f19192,plain,
    ( spl21_755
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X2,X1) = xm
        | ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_755])]) ).

fof(f19187,plain,
    ( spl21_754
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(X2,X1)
        | sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_754])]) ).

fof(f19190,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X2,X1) = xm
        | ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
    | ~ spl21_325
    | ~ spl21_754 ),
    inference(forward_demodulation,[],[f19188,f5675]) ).

fof(f19188,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(X2,X1)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
    | ~ spl21_754 ),
    inference(avatar_component_clause,[],[f19187]) ).

fof(f19189,plain,
    ( spl21_754
    | ~ spl21_114
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1441,f1368,f1126,f19187]) ).

fof(f1126,plain,
    ( spl21_114
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | sz00 = X1
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_114])]) ).

fof(f1441,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(X2,X1)
        | sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
    | ~ spl21_114
    | ~ spl21_131 ),
    inference(duplicate_literal_removal,[],[f1433]) ).

fof(f1433,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtpldt0(X2,X1)
        | sdtlseqdt0(X0,sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_114
    | ~ spl21_131 ),
    inference(resolution,[],[f1369,f1127]) ).

fof(f1127,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X1
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_114 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f19185,plain,
    ( spl21_753
    | ~ spl21_100
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1430,f1362,f964,f19183]) ).

fof(f19183,plain,
    ( spl21_753
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK20(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_753])]) ).

fof(f1430,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK20(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_100
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f965]) ).

fof(f19181,plain,
    ( spl21_752
    | ~ spl21_99
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1429,f1362,f960,f19179]) ).

fof(f19179,plain,
    ( spl21_752
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK19(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_752])]) ).

fof(f1429,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK19(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_99
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f961]) ).

fof(f19177,plain,
    ( spl21_751
    | ~ spl21_102
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1409,f1362,f973,f19175]) ).

fof(f19175,plain,
    ( spl21_751
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_751])]) ).

fof(f1409,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_102
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f974]) ).

fof(f19173,plain,
    ( spl21_750
    | ~ spl21_100
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1404,f1358,f964,f19171]) ).

fof(f19171,plain,
    ( spl21_750
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK20(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_750])]) ).

fof(f1404,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK20(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK20(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_100
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f965]) ).

fof(f19169,plain,
    ( spl21_749
    | ~ spl21_99
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1403,f1358,f960,f19167]) ).

fof(f19167,plain,
    ( spl21_749
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK19(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_749])]) ).

fof(f1403,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK19(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK19(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_99
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f961]) ).

fof(f19165,plain,
    ( spl21_748
    | ~ spl21_102
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1383,f1358,f973,f19163]) ).

fof(f19163,plain,
    ( spl21_748
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtmndt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_748])]) ).

fof(f1383,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtmndt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl21_102
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f974]) ).

fof(f19161,plain,
    ( spl21_747
    | ~ spl21_190
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13762,f13114,f1959,f19158]) ).

fof(f19158,plain,
    ( spl21_747
  <=> sK11 = sdtasdt0(sK11,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_747])]) ).

fof(f1959,plain,
    ( spl21_190
  <=> sK11 = sdtasdt0(sK11,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_190])]) ).

fof(f13762,plain,
    ( sK11 = sdtasdt0(sK11,xn)
    | ~ spl21_190
    | ~ spl21_596 ),
    inference(superposition,[],[f1961,f13116]) ).

fof(f1961,plain,
    ( sK11 = sdtasdt0(sK11,sz10)
    | ~ spl21_190 ),
    inference(avatar_component_clause,[],[f1959]) ).

fof(f19116,plain,
    ( spl21_746
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_267
    | ~ spl21_269
    | ~ spl21_641
    | ~ spl21_745 ),
    inference(avatar_split_clause,[],[f19112,f19108,f15269,f4175,f4167,f683,f407,f372,f352,f19114]) ).

fof(f19108,plain,
    ( spl21_745
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,sK11),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_745])]) ).

fof(f19112,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK6,xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_267
    | ~ spl21_269
    | ~ spl21_641
    | ~ spl21_745 ),
    inference(forward_demodulation,[],[f19111,f15324]) ).

fof(f15324,plain,
    ( sdtasdt0(sK6,xp) = sdtsldt0(sdtasdt0(sK11,xr),xr)
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_14
    | ~ spl21_68
    | ~ spl21_267
    | ~ spl21_269
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15323,f4728]) ).

fof(f15323,plain,
    ( sdtsldt0(sdtasdt0(xr,sK11),xr) = sdtasdt0(sK6,xp)
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_68
    | ~ spl21_267
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15322,f4658]) ).

fof(f4658,plain,
    ( sdtasdt0(xp,sK6) = sdtasdt0(sK6,xp)
    | ~ spl21_3
    | ~ spl21_267 ),
    inference(resolution,[],[f4168,f354]) ).

fof(f15322,plain,
    ( sdtsldt0(sdtasdt0(xr,sK11),xr) = sdtasdt0(xp,sK6)
    | ~ spl21_7
    | ~ spl21_68
    | ~ spl21_641 ),
    inference(forward_demodulation,[],[f15283,f685]) ).

fof(f15283,plain,
    ( sdtasdt0(xp,sK6) = sdtsldt0(sdtasdt0(xp,xk),xr)
    | ~ spl21_7
    | ~ spl21_641 ),
    inference(resolution,[],[f15270,f374]) ).

fof(f19111,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtsldt0(sdtasdt0(sK11,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_745 ),
    inference(forward_demodulation,[],[f19109,f4728]) ).

fof(f19109,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,sK11),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xr) )
    | ~ spl21_745 ),
    inference(avatar_component_clause,[],[f19108]) ).

fof(f19110,plain,
    ( ~ spl21_2
    | ~ spl21_247
    | spl21_20
    | spl21_745
    | ~ spl21_45
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1660,f1649,f577,f19108,f437,f3930,f347]) ).

fof(f1660,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,sK11),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xr)
        | sz00 = xr
        | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_45
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f579]) ).

fof(f18824,plain,
    ( spl21_744
    | ~ spl21_84
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1572,f1489,f864,f18822]) ).

fof(f18822,plain,
    ( spl21_744
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_744])]) ).

fof(f1572,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_84
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f865]) ).

fof(f18820,plain,
    ( spl21_743
    | ~ spl21_83
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1571,f1489,f860,f18818]) ).

fof(f18818,plain,
    ( spl21_743
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_743])]) ).

fof(f1571,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_83
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f861]) ).

fof(f18816,plain,
    ( spl21_742
    | ~ spl21_189
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13761,f13114,f1954,f18813]) ).

fof(f18813,plain,
    ( spl21_742
  <=> sK10 = sdtasdt0(sK10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_742])]) ).

fof(f1954,plain,
    ( spl21_189
  <=> sK10 = sdtasdt0(sK10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_189])]) ).

fof(f13761,plain,
    ( sK10 = sdtasdt0(sK10,xn)
    | ~ spl21_189
    | ~ spl21_596 ),
    inference(superposition,[],[f1956,f13116]) ).

fof(f1956,plain,
    ( sK10 = sdtasdt0(sK10,sz10)
    | ~ spl21_189 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f18811,plain,
    ( spl21_741
    | ~ spl21_84
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1546,f1485,f864,f18809]) ).

fof(f18809,plain,
    ( spl21_741
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_741])]) ).

fof(f1546,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_84
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f865]) ).

fof(f18807,plain,
    ( spl21_740
    | ~ spl21_83
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1545,f1485,f860,f18805]) ).

fof(f18805,plain,
    ( spl21_740
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_740])]) ).

fof(f1545,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_83
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f861]) ).

fof(f18803,plain,
    ( spl21_739
    | ~ spl21_54
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1445,f1372,f617,f18801]) ).

fof(f18801,plain,
    ( spl21_739
  <=> ! [X0,X1] :
        ( doDivides0(sK15(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK15(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(sdtpldt0(X0,X1)))
        | ~ sP1(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_739])]) ).

fof(f1445,plain,
    ( ! [X0,X1] :
        ( doDivides0(sK15(sdtpldt0(X0,X1)),X1)
        | ~ doDivides0(sK15(sdtpldt0(X0,X1)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(sdtpldt0(X0,X1)))
        | ~ sP1(sdtpldt0(X0,X1)) )
    | ~ spl21_54
    | ~ spl21_132 ),
    inference(resolution,[],[f1373,f618]) ).

fof(f18759,plain,
    ( spl21_738
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_737 ),
    inference(avatar_split_clause,[],[f18755,f18751,f13114,f5673,f18757]) ).

fof(f18757,plain,
    ( spl21_738
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_738])]) ).

fof(f18755,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_737 ),
    inference(forward_demodulation,[],[f18754,f5675]) ).

fof(f18753,plain,
    ( spl21_737
    | ~ spl21_95
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1428,f1362,f944,f18751]) ).

fof(f1428,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK18(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_95
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f945]) ).

fof(f18710,plain,
    ( spl21_736
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_735 ),
    inference(avatar_split_clause,[],[f18706,f18702,f13114,f5673,f18708]) ).

fof(f18708,plain,
    ( spl21_736
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_736])]) ).

fof(f18706,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_735 ),
    inference(forward_demodulation,[],[f18705,f5675]) ).

fof(f18704,plain,
    ( spl21_735
    | ~ spl21_94
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1427,f1362,f940,f18702]) ).

fof(f1427,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK17(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_94
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f941]) ).

fof(f18660,plain,
    ( spl21_734
    | ~ spl21_188
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13760,f13114,f1949,f18657]) ).

fof(f18657,plain,
    ( spl21_734
  <=> sK9 = sdtasdt0(sK9,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_734])]) ).

fof(f1949,plain,
    ( spl21_188
  <=> sK9 = sdtasdt0(sK9,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_188])]) ).

fof(f13760,plain,
    ( sK9 = sdtasdt0(sK9,xn)
    | ~ spl21_188
    | ~ spl21_596 ),
    inference(superposition,[],[f1951,f13116]) ).

fof(f1951,plain,
    ( sK9 = sdtasdt0(sK9,sz10)
    | ~ spl21_188 ),
    inference(avatar_component_clause,[],[f1949]) ).

fof(f18655,plain,
    ( spl21_733
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_732 ),
    inference(avatar_split_clause,[],[f18651,f18647,f13114,f5673,f18653]) ).

fof(f18653,plain,
    ( spl21_733
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_733])]) ).

fof(f18651,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_732 ),
    inference(forward_demodulation,[],[f18650,f5675]) ).

fof(f18649,plain,
    ( spl21_732
    | ~ spl21_95
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1402,f1358,f944,f18647]) ).

fof(f1402,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK18(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK18(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_95
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f945]) ).

fof(f18606,plain,
    ( spl21_731
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_730 ),
    inference(avatar_split_clause,[],[f18602,f18598,f13114,f5673,f18604]) ).

fof(f18604,plain,
    ( spl21_731
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_731])]) ).

fof(f18602,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | xn = X2
        | sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_730 ),
    inference(forward_demodulation,[],[f18601,f5675]) ).

fof(f18600,plain,
    ( spl21_730
    | ~ spl21_94
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1401,f1358,f940,f18598]) ).

fof(f1401,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK17(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK17(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP4(X2)
        | sz10 = X2
        | sz00 = X2 )
    | ~ spl21_94
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f941]) ).

fof(f18594,plain,
    ( spl21_729
    | ~ spl21_187
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13759,f13114,f1944,f18591]) ).

fof(f1944,plain,
    ( spl21_187
  <=> sK8 = sdtasdt0(sK8,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_187])]) ).

fof(f13759,plain,
    ( sK8 = sdtasdt0(sK8,xn)
    | ~ spl21_187
    | ~ spl21_596 ),
    inference(superposition,[],[f1946,f13116]) ).

fof(f1946,plain,
    ( sK8 = sdtasdt0(sK8,sz10)
    | ~ spl21_187 ),
    inference(avatar_component_clause,[],[f1944]) ).

fof(f18589,plain,
    ( spl21_728
    | ~ spl21_75
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1590,f1489,f716,f18587]) ).

fof(f18587,plain,
    ( spl21_728
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK16(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK16(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_728])]) ).

fof(f716,plain,
    ( spl21_75
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK16(X0,X1))
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).

fof(f1590,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK16(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK16(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP0(X1,X2) )
    | ~ spl21_75
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f717]) ).

fof(f717,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK16(X0,X1))
        | ~ sP0(X0,X1) )
    | ~ spl21_75 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f18585,plain,
    ( spl21_727
    | ~ spl21_73
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1588,f1489,f707,f18583]) ).

fof(f18583,plain,
    ( spl21_727
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK14(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK14(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_727])]) ).

fof(f707,plain,
    ( spl21_73
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK14(X0,X1))
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_73])]) ).

fof(f1588,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK14(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK14(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP2(X1,X2) )
    | ~ spl21_73
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f708]) ).

fof(f708,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK14(X0,X1))
        | ~ sP2(X0,X1) )
    | ~ spl21_73 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f18581,plain,
    ( spl21_726
    | ~ spl21_72
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1587,f1489,f703,f18579]) ).

fof(f18579,plain,
    ( spl21_726
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK13(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK13(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP3(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_726])]) ).

fof(f703,plain,
    ( spl21_72
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK13(X0,X1))
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_72])]) ).

fof(f1587,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK13(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK13(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sP3(X1,X2) )
    | ~ spl21_72
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f704]) ).

fof(f704,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK13(X0,X1))
        | ~ sP3(X0,X1) )
    | ~ spl21_72 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f18577,plain,
    ( spl21_725
    | ~ spl21_75
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1564,f1485,f716,f18575]) ).

fof(f18575,plain,
    ( spl21_725
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_725])]) ).

fof(f1564,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK16(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) )
    | ~ spl21_75
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f717]) ).

fof(f18573,plain,
    ( spl21_724
    | ~ spl21_73
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1562,f1485,f707,f18571]) ).

fof(f18571,plain,
    ( spl21_724
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_724])]) ).

fof(f1562,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK14(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) )
    | ~ spl21_73
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f708]) ).

fof(f18569,plain,
    ( spl21_723
    | ~ spl21_72
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1561,f1485,f703,f18567]) ).

fof(f18567,plain,
    ( spl21_723
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK13(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_723])]) ).

fof(f1561,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK13(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) )
    | ~ spl21_72
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f704]) ).

fof(f18559,plain,
    ( spl21_722
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_721 ),
    inference(avatar_split_clause,[],[f18555,f18550,f13114,f5673,f18557]) ).

fof(f18557,plain,
    ( spl21_722
  <=> ! [X0] :
        ( xm = X0
        | xn = X0
        | xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_722])]) ).

fof(f18555,plain,
    ( ! [X0] :
        ( xm = X0
        | xn = X0
        | xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0)) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_721 ),
    inference(forward_demodulation,[],[f18554,f5675]) ).

fof(f18554,plain,
    ( ! [X0] :
        ( xn = X0
        | xm = sK18(X0)
        | sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz00 = X0 )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_721 ),
    inference(forward_demodulation,[],[f18553,f13116]) ).

fof(f18552,plain,
    ( spl21_721
    | ~ spl21_107
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1462,f1376,f1079,f18550]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | sz00 = sK18(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_107
    | ~ spl21_133 ),
    inference(duplicate_literal_removal,[],[f1461]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( sdtasdt0(sK18(X0),sdtsldt0(X0,sK18(X0))) = X0
        | sz00 = sK18(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_107
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f1080]) ).

fof(f18548,plain,
    ( spl21_720
    | ~ spl21_186
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13758,f13114,f1939,f18545]) ).

fof(f18545,plain,
    ( spl21_720
  <=> sK7 = sdtasdt0(sK7,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_720])]) ).

fof(f1939,plain,
    ( spl21_186
  <=> sK7 = sdtasdt0(sK7,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_186])]) ).

fof(f13758,plain,
    ( sK7 = sdtasdt0(sK7,xn)
    | ~ spl21_186
    | ~ spl21_596 ),
    inference(superposition,[],[f1941,f13116]) ).

fof(f1941,plain,
    ( sK7 = sdtasdt0(sK7,sz10)
    | ~ spl21_186 ),
    inference(avatar_component_clause,[],[f1939]) ).

fof(f18437,plain,
    ( spl21_719
    | ~ spl21_596
    | ~ spl21_718 ),
    inference(avatar_split_clause,[],[f18433,f18430,f13114,f18435]) ).

fof(f18430,plain,
    ( spl21_718
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sdtpldt0(X2,X1) = X0
        | ~ sP4(sdtpldt0(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_718])]) ).

fof(f18433,plain,
    ( ! [X2,X0,X1] :
        ( xn = X0
        | ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,X1) = X0
        | ~ sP4(sdtpldt0(X2,X1)) )
    | ~ spl21_596
    | ~ spl21_718 ),
    inference(forward_demodulation,[],[f18431,f13116]) ).

fof(f18431,plain,
    ( ! [X2,X0,X1] :
        ( ~ sP4(sdtpldt0(X2,X1))
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sdtpldt0(X2,X1) = X0
        | ~ doDivides0(X0,X1) )
    | ~ spl21_718 ),
    inference(avatar_component_clause,[],[f18430]) ).

fof(f18432,plain,
    ( spl21_718
    | ~ spl21_112
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1440,f1368,f1118,f18430]) ).

fof(f1118,plain,
    ( spl21_112
  <=> ! [X2,X0] :
        ( X0 = X2
        | sz10 = X2
        | ~ doDivides0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).

fof(f1440,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sdtpldt0(X2,X1) = X0
        | ~ sP4(sdtpldt0(X2,X1)) )
    | ~ spl21_112
    | ~ spl21_131 ),
    inference(duplicate_literal_removal,[],[f1434]) ).

fof(f1434,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sdtpldt0(X2,X1) = X0
        | ~ aNaturalNumber0(X0)
        | ~ sP4(sdtpldt0(X2,X1)) )
    | ~ spl21_112
    | ~ spl21_131 ),
    inference(resolution,[],[f1369,f1119]) ).

fof(f1119,plain,
    ( ! [X2,X0] :
        ( ~ doDivides0(X2,X0)
        | sz10 = X2
        | X0 = X2
        | ~ aNaturalNumber0(X2)
        | ~ sP4(X0) )
    | ~ spl21_112 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f18272,plain,
    ( spl21_717
    | ~ spl21_84
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1408,f1362,f864,f18270]) ).

fof(f18270,plain,
    ( spl21_717
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_717])]) ).

fof(f1408,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_84
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f865]) ).

fof(f18268,plain,
    ( spl21_716
    | ~ spl21_83
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1407,f1362,f860,f18266]) ).

fof(f18266,plain,
    ( spl21_716
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_716])]) ).

fof(f1407,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_83
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f861]) ).

fof(f18264,plain,
    ( spl21_715
    | ~ spl21_84
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1382,f1358,f864,f18262]) ).

fof(f18262,plain,
    ( spl21_715
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_715])]) ).

fof(f1382,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_84
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f865]) ).

fof(f18260,plain,
    ( spl21_714
    | ~ spl21_185
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13757,f13114,f1934,f18257]) ).

fof(f1934,plain,
    ( spl21_185
  <=> sK6 = sdtasdt0(sK6,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_185])]) ).

fof(f13757,plain,
    ( sK6 = sdtasdt0(sK6,xn)
    | ~ spl21_185
    | ~ spl21_596 ),
    inference(superposition,[],[f1936,f13116]) ).

fof(f1936,plain,
    ( sK6 = sdtasdt0(sK6,sz10)
    | ~ spl21_185 ),
    inference(avatar_component_clause,[],[f1934]) ).

fof(f18255,plain,
    ( spl21_713
    | ~ spl21_83
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1381,f1358,f860,f18253]) ).

fof(f18253,plain,
    ( spl21_713
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_713])]) ).

fof(f1381,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_83
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f861]) ).

fof(f18215,plain,
    ( spl21_712
    | ~ spl21_325
    | ~ spl21_711 ),
    inference(avatar_split_clause,[],[f18211,f18208,f5673,f18213]) ).

fof(f18213,plain,
    ( spl21_712
  <=> ! [X2,X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_712])]) ).

fof(f18208,plain,
    ( spl21_711
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_711])]) ).

fof(f18211,plain,
    ( ! [X2,X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_711 ),
    inference(forward_demodulation,[],[f18209,f5675]) ).

fof(f18209,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_711 ),
    inference(avatar_component_clause,[],[f18208]) ).

fof(f18210,plain,
    ( spl21_711
    | ~ spl21_98
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1265,f1213,f956,f18208]) ).

fof(f1265,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_98
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f957]) ).

fof(f18170,plain,
    ( spl21_710
    | ~ spl21_325
    | ~ spl21_709 ),
    inference(avatar_split_clause,[],[f18166,f18163,f5673,f18168]) ).

fof(f18168,plain,
    ( spl21_710
  <=> ! [X2,X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_710])]) ).

fof(f18163,plain,
    ( spl21_709
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_709])]) ).

fof(f18166,plain,
    ( ! [X2,X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_709 ),
    inference(forward_demodulation,[],[f18164,f5675]) ).

fof(f18164,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_709 ),
    inference(avatar_component_clause,[],[f18163]) ).

fof(f18165,plain,
    ( spl21_709
    | ~ spl21_97
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1264,f1213,f952,f18163]) ).

fof(f1264,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_97
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f953]) ).

fof(f17977,plain,
    ( spl21_708
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_707 ),
    inference(avatar_split_clause,[],[f17973,f17968,f5673,f4964,f4086,f2039,f372,f17975]) ).

fof(f17973,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xn,xp))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_206
    | ~ spl21_252
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_707 ),
    inference(forward_demodulation,[],[f17972,f4232]) ).

fof(f17972,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(xp,xn))
        | sP2(X0,X0)
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_206
    | ~ spl21_281
    | ~ spl21_325
    | ~ spl21_707 ),
    inference(forward_demodulation,[],[f17971,f5715]) ).

fof(f17970,plain,
    ( spl21_707
    | ~ spl21_147 ),
    inference(avatar_split_clause,[],[f1704,f1692,f17968]) ).

fof(f1704,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_147 ),
    inference(duplicate_literal_removal,[],[f1703]) ).

fof(f1703,plain,
    ( ! [X0,X1] :
        ( sP2(X0,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_147 ),
    inference(equality_resolution,[],[f1693]) ).

fof(f17966,plain,
    ( spl21_706
    | ~ spl21_184
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13756,f13114,f1929,f17963]) ).

fof(f1929,plain,
    ( spl21_184
  <=> xr = sdtasdt0(xr,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_184])]) ).

fof(f13756,plain,
    ( xr = sdtasdt0(xr,xn)
    | ~ spl21_184
    | ~ spl21_596 ),
    inference(superposition,[],[f1931,f13116]) ).

fof(f1931,plain,
    ( xr = sdtasdt0(xr,sz10)
    | ~ spl21_184 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f17700,plain,
    ( spl21_705
    | ~ spl21_325
    | ~ spl21_704 ),
    inference(avatar_split_clause,[],[f17696,f17693,f5673,f17698]) ).

fof(f17693,plain,
    ( spl21_704
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_704])]) ).

fof(f17696,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_704 ),
    inference(forward_demodulation,[],[f17694,f5675]) ).

fof(f17694,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sz00 = X0
        | sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_704 ),
    inference(avatar_component_clause,[],[f17693]) ).

fof(f17695,plain,
    ( spl21_704
    | ~ spl21_116
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1464,f1376,f1134,f17693]) ).

fof(f1464,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_133 ),
    inference(duplicate_literal_removal,[],[f1454]) ).

fof(f1454,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_116
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f1135]) ).

fof(f17691,plain,
    ( spl21_703
    | ~ spl21_75
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1426,f1362,f716,f17689]) ).

fof(f17689,plain,
    ( spl21_703
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK16(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_703])]) ).

fof(f1426,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK16(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) )
    | ~ spl21_75
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f717]) ).

fof(f17687,plain,
    ( spl21_702
    | ~ spl21_183
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13755,f13114,f1924,f17684]) ).

fof(f13755,plain,
    ( xk = sdtasdt0(xk,xn)
    | ~ spl21_183
    | ~ spl21_596 ),
    inference(superposition,[],[f1926,f13116]) ).

fof(f17682,plain,
    ( spl21_701
    | ~ spl21_73
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1424,f1362,f707,f17680]) ).

fof(f17680,plain,
    ( spl21_701
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK14(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_701])]) ).

fof(f1424,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK14(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) )
    | ~ spl21_73
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f708]) ).

fof(f17678,plain,
    ( spl21_700
    | ~ spl21_72
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1423,f1362,f703,f17676]) ).

fof(f17676,plain,
    ( spl21_700
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK13(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_700])]) ).

fof(f1423,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK13(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) )
    | ~ spl21_72
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f704]) ).

fof(f17674,plain,
    ( spl21_699
    | ~ spl21_75
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1400,f1358,f716,f17672]) ).

fof(f17672,plain,
    ( spl21_699
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK16(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_699])]) ).

fof(f1400,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK16(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK16(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X2,X3) )
    | ~ spl21_75
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f717]) ).

fof(f17670,plain,
    ( spl21_698
    | ~ spl21_73
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1398,f1358,f707,f17668]) ).

fof(f17668,plain,
    ( spl21_698
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK14(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_698])]) ).

fof(f1398,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK14(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK14(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X2,X3) )
    | ~ spl21_73
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f708]) ).

fof(f17666,plain,
    ( spl21_697
    | ~ spl21_72
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1397,f1358,f703,f17664]) ).

fof(f17664,plain,
    ( spl21_697
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK13(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_697])]) ).

fof(f1397,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK13(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK13(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X2,X3) )
    | ~ spl21_72
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f704]) ).

fof(f17654,plain,
    ( spl21_696
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_695 ),
    inference(avatar_split_clause,[],[f17650,f17646,f13114,f5673,f17652]) ).

fof(f17652,plain,
    ( spl21_696
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_696])]) ).

fof(f17650,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_695 ),
    inference(forward_demodulation,[],[f17649,f5675]) ).

fof(f17648,plain,
    ( spl21_695
    | ~ spl21_104
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1306,f1288,f1067,f17646]) ).

fof(f1306,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK17(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK17(X1))
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_104
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f1068]) ).

fof(f17465,plain,
    ( spl21_694
    | ~ spl21_325
    | ~ spl21_693 ),
    inference(avatar_split_clause,[],[f17461,f17458,f5673,f17463]) ).

fof(f17463,plain,
    ( spl21_694
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_694])]) ).

fof(f17458,plain,
    ( spl21_693
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_693])]) ).

fof(f17461,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_693 ),
    inference(forward_demodulation,[],[f17459,f5675]) ).

fof(f17459,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_693 ),
    inference(avatar_component_clause,[],[f17458]) ).

fof(f17460,plain,
    ( spl21_693
    | ~ spl21_108
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1251,f1209,f1083,f17458]) ).

fof(f1251,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_120 ),
    inference(duplicate_literal_removal,[],[f1247]) ).

fof(f1247,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f1084]) ).

fof(f17278,plain,
    ( spl21_692
    | ~ spl21_325
    | ~ spl21_691 ),
    inference(avatar_split_clause,[],[f17274,f17271,f5673,f17276]) ).

fof(f17276,plain,
    ( spl21_692
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_692])]) ).

fof(f17271,plain,
    ( spl21_691
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_691])]) ).

fof(f17274,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_691 ),
    inference(forward_demodulation,[],[f17272,f5675]) ).

fof(f17272,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_691 ),
    inference(avatar_component_clause,[],[f17271]) ).

fof(f17273,plain,
    ( spl21_691
    | ~ spl21_108
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1236,f1205,f1083,f17271]) ).

fof(f1236,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_119 ),
    inference(duplicate_literal_removal,[],[f1232]) ).

fof(f1232,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f1084]) ).

fof(f17263,plain,
    ( spl21_690
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_689 ),
    inference(avatar_split_clause,[],[f17259,f17255,f13114,f5673,f17261]) ).

fof(f17261,plain,
    ( spl21_690
  <=> ! [X0] :
        ( xm = X0
        | xn = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_690])]) ).

fof(f17259,plain,
    ( ! [X0] :
        ( xm = X0
        | xn = X0
        | sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_689 ),
    inference(forward_demodulation,[],[f17258,f5675]) ).

fof(f17257,plain,
    ( spl21_689
    | ~ spl21_104
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1223,f1201,f1067,f17255]) ).

fof(f1223,plain,
    ( ! [X0] :
        ( sdtasdt0(sK17(X0),sK19(sK17(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_104
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f1068]) ).

fof(f17205,plain,
    ( ~ spl21_12
    | ~ spl21_7
    | spl21_688
    | spl21_686
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f13845,f5673,f4175,f1619,f698,f407,f17033,f17203,f372,f397]) ).

fof(f17203,plain,
    ( spl21_688
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sK10),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_688])]) ).

fof(f13845,plain,
    ( ! [X0] :
        ( xm = sK10
        | sdtlseqdt0(sdtasdt0(X0,sK10),sdtasdt0(sK11,xr))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269
    | ~ spl21_325 ),
    inference(forward_demodulation,[],[f13844,f5675]) ).

fof(f13844,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sK10),sdtasdt0(sK11,xr))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | sz00 = sK10
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1647,f4728]) ).

fof(f1647,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sK10),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | sz00 = sK10
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_71
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f700]) ).

fof(f17157,plain,
    ( spl21_687
    | ~ spl21_329
    | ~ spl21_686 ),
    inference(avatar_split_clause,[],[f17074,f17033,f5765,f17154]) ).

fof(f17154,plain,
    ( spl21_687
  <=> doDivides0(xn,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_687])]) ).

fof(f5765,plain,
    ( spl21_329
  <=> doDivides0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_329])]) ).

fof(f17074,plain,
    ( doDivides0(xn,sK10)
    | ~ spl21_329
    | ~ spl21_686 ),
    inference(superposition,[],[f5767,f17035]) ).

fof(f17035,plain,
    ( xm = sK10
    | ~ spl21_686 ),
    inference(avatar_component_clause,[],[f17033]) ).

fof(f5767,plain,
    ( doDivides0(xn,xm)
    | ~ spl21_329 ),
    inference(avatar_component_clause,[],[f5765]) ).

fof(f17036,plain,
    ( ~ spl21_12
    | ~ spl21_7
    | spl21_685
    | spl21_686
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f13843,f5673,f4175,f1619,f698,f407,f17033,f17030,f372,f397]) ).

fof(f17030,plain,
    ( spl21_685
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,sK10))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_685])]) ).

fof(f13843,plain,
    ( ! [X0] :
        ( xm = sK10
        | sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,sK10))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269
    | ~ spl21_325 ),
    inference(forward_demodulation,[],[f13842,f5675]) ).

fof(f13842,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,sK10))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | sz00 = sK10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_14
    | ~ spl21_71
    | ~ spl21_142
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1643,f4728]) ).

fof(f1643,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(X0,sK10))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | sz00 = sK10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_71
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f700]) ).

fof(f16991,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_451
    | spl21_684
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_141
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f13104,f4175,f1615,f670,f407,f16989,f7070,f367,f362]) ).

fof(f16989,plain,
    ( spl21_684
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_684])]) ).

fof(f13104,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(sK11,xr))
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_141
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1632,f4728]) ).

fof(f1632,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_65
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f672]) ).

fof(f16947,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_451
    | spl21_683
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_141
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f13103,f4175,f1615,f670,f407,f16945,f7070,f367,f362]) ).

fof(f16945,plain,
    ( spl21_683
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_683])]) ).

fof(f13103,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_141
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1628,f4728]) ).

fof(f1628,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_65
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f672]) ).

fof(f16894,plain,
    ( spl21_682
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_681 ),
    inference(avatar_split_clause,[],[f16890,f16887,f4175,f407,f16892]) ).

fof(f16887,plain,
    ( spl21_681
  <=> ! [X0] :
        ( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xp)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_681])]) ).

fof(f16890,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(sK11,xr)),xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_681 ),
    inference(forward_demodulation,[],[f16888,f4728]) ).

fof(f16888,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_681 ),
    inference(avatar_component_clause,[],[f16887]) ).

fof(f16889,plain,
    ( ~ spl21_7
    | ~ spl21_247
    | spl21_30
    | spl21_681
    | ~ spl21_44
    | ~ spl21_70
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1667,f1649,f693,f572,f16887,f487,f3930,f372]) ).

fof(f1667,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xk) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xp)
        | ~ aNaturalNumber0(X0)
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_44
    | ~ spl21_70
    | ~ spl21_143 ),
    inference(forward_demodulation,[],[f1658,f695]) ).

fof(f1658,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,sK11),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,sK11)),xp)
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_44
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f574]) ).

fof(f16833,plain,
    ( spl21_680
    | ~ spl21_182
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13754,f13114,f1917,f16830]) ).

fof(f1917,plain,
    ( spl21_182
  <=> xp = sdtasdt0(xp,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_182])]) ).

fof(f13754,plain,
    ( xp = sdtasdt0(xp,xn)
    | ~ spl21_182
    | ~ spl21_596 ),
    inference(superposition,[],[f1919,f13116]) ).

fof(f1919,plain,
    ( xp = sdtasdt0(xp,sz10)
    | ~ spl21_182 ),
    inference(avatar_component_clause,[],[f1917]) ).

fof(f16828,plain,
    ( spl21_679
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_678 ),
    inference(avatar_split_clause,[],[f16824,f16821,f4175,f407,f16826]) ).

fof(f16826,plain,
    ( spl21_679
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_679])]) ).

fof(f16821,plain,
    ( spl21_678
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_678])]) ).

fof(f16824,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_678 ),
    inference(forward_demodulation,[],[f16822,f4728]) ).

fof(f16822,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(X0,xp) )
    | ~ spl21_678 ),
    inference(avatar_component_clause,[],[f16821]) ).

fof(f16823,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_26
    | spl21_678
    | ~ spl21_68
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1646,f1619,f683,f16821,f467,f372,f342]) ).

fof(f1646,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | sz00 = xk
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_68
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f685]) ).

fof(f16769,plain,
    ( spl21_677
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_676 ),
    inference(avatar_split_clause,[],[f16765,f16762,f4175,f407,f16767]) ).

fof(f16767,plain,
    ( spl21_677
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_677])]) ).

fof(f16762,plain,
    ( spl21_676
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_676])]) ).

fof(f16765,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_676 ),
    inference(forward_demodulation,[],[f16763,f4728]) ).

fof(f16763,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X0)
        | xp = X0
        | ~ sdtlseqdt0(xp,X0) )
    | ~ spl21_676 ),
    inference(avatar_component_clause,[],[f16762]) ).

fof(f16764,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_26
    | spl21_676
    | ~ spl21_68
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1642,f1619,f683,f16762,f467,f372,f342]) ).

fof(f1642,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(X0,xk))
        | ~ sdtlseqdt0(xp,X0)
        | xp = X0
        | sz00 = xk
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_68
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f685]) ).

fof(f16717,plain,
    ( spl21_675
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_674 ),
    inference(avatar_split_clause,[],[f16713,f16710,f4175,f407,f16715]) ).

fof(f16715,plain,
    ( spl21_675
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(X0,sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_675])]) ).

fof(f16710,plain,
    ( spl21_674
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(X0,sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_674])]) ).

fof(f16713,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(X0,sK10) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_674 ),
    inference(forward_demodulation,[],[f16711,f4728]) ).

fof(f16711,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(X0,sK10) )
    | ~ spl21_674 ),
    inference(avatar_component_clause,[],[f16710]) ).

fof(f16712,plain,
    ( ~ spl21_7
    | ~ spl21_12
    | spl21_30
    | spl21_674
    | ~ spl21_71
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1634,f1615,f698,f16710,f487,f397,f372]) ).

fof(f1634,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,sK10)
        | sK10 = X0
        | sz00 = xp
        | ~ aNaturalNumber0(sK10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_71
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f700]) ).

fof(f16665,plain,
    ( spl21_673
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_671 ),
    inference(avatar_split_clause,[],[f16656,f16653,f4175,f407,f16663]) ).

fof(f16663,plain,
    ( spl21_673
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(X0,xk) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_673])]) ).

fof(f16653,plain,
    ( spl21_671
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(X0,xk) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_671])]) ).

fof(f16656,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(X0,xk) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_671 ),
    inference(forward_demodulation,[],[f16654,f4728]) ).

fof(f16654,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(X0,xk) )
    | ~ spl21_671 ),
    inference(avatar_component_clause,[],[f16653]) ).

fof(f16661,plain,
    ( spl21_672
    | ~ spl21_181
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13753,f13114,f1912,f16658]) ).

fof(f16658,plain,
    ( spl21_672
  <=> xm = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_672])]) ).

fof(f1912,plain,
    ( spl21_181
  <=> xm = sdtasdt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_181])]) ).

fof(f13753,plain,
    ( xm = sdtasdt0(xm,xn)
    | ~ spl21_181
    | ~ spl21_596 ),
    inference(superposition,[],[f1914,f13116]) ).

fof(f1914,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl21_181 ),
    inference(avatar_component_clause,[],[f1912]) ).

fof(f16655,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | spl21_30
    | spl21_671
    | ~ spl21_68
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1633,f1615,f683,f16653,f487,f342,f372]) ).

fof(f1633,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xr,sK11))
        | ~ sdtlseqdt0(X0,xk)
        | xk = X0
        | sz00 = xp
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_68
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f685]) ).

fof(f16605,plain,
    ( spl21_670
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_669 ),
    inference(avatar_split_clause,[],[f16601,f16598,f4175,f407,f16603]) ).

fof(f16603,plain,
    ( spl21_670
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(sK10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_670])]) ).

fof(f16598,plain,
    ( spl21_669
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(sK10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_669])]) ).

fof(f16601,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(sK10,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_669 ),
    inference(forward_demodulation,[],[f16599,f4728]) ).

fof(f16599,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | sK10 = X0
        | ~ sdtlseqdt0(sK10,X0) )
    | ~ spl21_669 ),
    inference(avatar_component_clause,[],[f16598]) ).

fof(f16600,plain,
    ( ~ spl21_7
    | ~ spl21_12
    | spl21_30
    | spl21_669
    | ~ spl21_71
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1630,f1615,f698,f16598,f487,f397,f372]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ sdtlseqdt0(sK10,X0)
        | sK10 = X0
        | sz00 = xp
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_71
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f700]) ).

fof(f16550,plain,
    ( spl21_668
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_667 ),
    inference(avatar_split_clause,[],[f16546,f16543,f4175,f407,f16548]) ).

fof(f16548,plain,
    ( spl21_668
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_668])]) ).

fof(f16543,plain,
    ( spl21_667
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_667])]) ).

fof(f16546,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sK11,xr),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(xk,X0) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_667 ),
    inference(forward_demodulation,[],[f16544,f4728]) ).

fof(f16544,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(xk,X0) )
    | ~ spl21_667 ),
    inference(avatar_component_clause,[],[f16543]) ).

fof(f16545,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | spl21_30
    | spl21_667
    | ~ spl21_68
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1629,f1615,f683,f16543,f487,f342,f372]) ).

fof(f1629,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,sK11),sdtasdt0(xp,X0))
        | ~ sdtlseqdt0(xk,X0)
        | xk = X0
        | sz00 = xp
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_68
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f685]) ).

fof(f16541,plain,
    ( spl21_666
    | ~ spl21_46
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1589,f1489,f582,f16539]) ).

fof(f16539,plain,
    ( spl21_666
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK15(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK15(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_666])]) ).

fof(f582,plain,
    ( spl21_46
  <=> ! [X0] :
        ( aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).

fof(f1589,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK15(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK15(X1),X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ sP1(X1) )
    | ~ spl21_46
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f583]) ).

fof(f583,plain,
    ( ! [X0] :
        ( aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_46 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f16537,plain,
    ( spl21_665
    | ~ spl21_180
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13752,f13114,f1907,f16534]) ).

fof(f13752,plain,
    ( xn = sdtasdt0(xn,xn)
    | ~ spl21_180
    | ~ spl21_596 ),
    inference(superposition,[],[f1909,f13116]) ).

fof(f16532,plain,
    ( spl21_664
    | ~ spl21_46
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1563,f1485,f582,f16530]) ).

fof(f16530,plain,
    ( spl21_664
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK15(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_664])]) ).

fof(f1563,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK15(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) )
    | ~ spl21_46
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f583]) ).

fof(f16298,plain,
    ( spl21_663
    | ~ spl21_325
    | ~ spl21_662 ),
    inference(avatar_split_clause,[],[f16294,f16291,f5673,f16296]) ).

fof(f16296,plain,
    ( spl21_663
  <=> ! [X2,X0,X1] :
        ( xm = X2
        | sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_663])]) ).

fof(f16291,plain,
    ( spl21_662
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_662])]) ).

fof(f16294,plain,
    ( ! [X2,X0,X1] :
        ( xm = X2
        | sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_325
    | ~ spl21_662 ),
    inference(forward_demodulation,[],[f16292,f5675]) ).

fof(f16292,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_662 ),
    inference(avatar_component_clause,[],[f16291]) ).

fof(f16293,plain,
    ( spl21_662
    | ~ spl21_108
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1319,f1294,f1083,f16291]) ).

fof(f1319,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_108
    | ~ spl21_126 ),
    inference(duplicate_literal_removal,[],[f1315]) ).

fof(f1315,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_108
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f1084]) ).

fof(f16125,plain,
    ( spl21_661
    | ~ spl21_325
    | ~ spl21_660 ),
    inference(avatar_split_clause,[],[f16121,f16118,f5673,f16123]) ).

fof(f16123,plain,
    ( spl21_661
  <=> ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = X0
        | ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_661])]) ).

fof(f16118,plain,
    ( spl21_660
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = X0
        | ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_660])]) ).

fof(f16121,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | sdtasdt0(X0,X1) = X0
        | ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_660 ),
    inference(forward_demodulation,[],[f16119,f5675]) ).

fof(f16119,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_660 ),
    inference(avatar_component_clause,[],[f16118]) ).

fof(f16120,plain,
    ( spl21_660
    | ~ spl21_108
    | ~ spl21_115 ),
    inference(avatar_split_clause,[],[f1178,f1130,f1083,f16118]) ).

fof(f1178,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = X0
        | ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_115 ),
    inference(duplicate_literal_removal,[],[f1174]) ).

fof(f1174,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = X0
        | ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_115 ),
    inference(resolution,[],[f1131,f1084]) ).

fof(f15963,plain,
    ( spl21_659
    | ~ spl21_325
    | ~ spl21_658 ),
    inference(avatar_split_clause,[],[f15959,f15956,f5673,f15961]) ).

fof(f15961,plain,
    ( spl21_659
  <=> ! [X0,X1] :
        ( xm = X1
        | iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_659])]) ).

fof(f15956,plain,
    ( spl21_658
  <=> ! [X0,X1] :
        ( iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_658])]) ).

fof(f15959,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_658 ),
    inference(forward_demodulation,[],[f15957,f5675]) ).

fof(f15957,plain,
    ( ! [X0,X1] :
        ( iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_658 ),
    inference(avatar_component_clause,[],[f15956]) ).

fof(f15958,plain,
    ( spl21_658
    | ~ spl21_108
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1157,f1122,f1083,f15956]) ).

fof(f1157,plain,
    ( ! [X0,X1] :
        ( iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_113 ),
    inference(duplicate_literal_removal,[],[f1153]) ).

fof(f1153,plain,
    ( ! [X0,X1] :
        ( iLess0(X0,sdtasdt0(X0,X1))
        | sdtasdt0(X0,X1) = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_108
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f1084]) ).

fof(f15916,plain,
    ( spl21_657
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_656 ),
    inference(avatar_split_clause,[],[f15912,f15907,f13114,f5673,f15914]) ).

fof(f15914,plain,
    ( spl21_657
  <=> ! [X0] :
        ( xm = X0
        | xn = X0
        | xn = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_657])]) ).

fof(f15912,plain,
    ( ! [X0] :
        ( xm = X0
        | xn = X0
        | xn = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_656 ),
    inference(forward_demodulation,[],[f15911,f5675]) ).

fof(f15909,plain,
    ( spl21_656
    | ~ spl21_107
    | ~ spl21_112 ),
    inference(avatar_split_clause,[],[f1148,f1118,f1079,f15907]) ).

fof(f1148,plain,
    ( ! [X0] :
        ( sz10 = sK18(X0)
        | sK18(X0) = X0
        | ~ aNaturalNumber0(sK18(X0))
        | ~ sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_107
    | ~ spl21_112 ),
    inference(resolution,[],[f1119,f1080]) ).

fof(f15535,plain,
    ( spl21_655
    | ~ spl21_325
    | ~ spl21_654 ),
    inference(avatar_split_clause,[],[f15531,f15528,f5673,f15533]) ).

fof(f15533,plain,
    ( spl21_655
  <=> ! [X0] :
        ( xm = sK15(X0)
        | sdtasdt0(sK15(X0),sdtsldt0(X0,sK15(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_655])]) ).

fof(f15528,plain,
    ( spl21_654
  <=> ! [X0] :
        ( sdtasdt0(sK15(X0),sdtsldt0(X0,sK15(X0))) = X0
        | sz00 = sK15(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_654])]) ).

fof(f15531,plain,
    ( ! [X0] :
        ( xm = sK15(X0)
        | sdtasdt0(sK15(X0),sdtsldt0(X0,sK15(X0))) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_325
    | ~ spl21_654 ),
    inference(forward_demodulation,[],[f15529,f5675]) ).

fof(f15529,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sK15(X0))
        | sz00 = sK15(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sK15(X0),sdtsldt0(X0,sK15(X0))) = X0
        | ~ sP1(X0) )
    | ~ spl21_654 ),
    inference(avatar_component_clause,[],[f15528]) ).

fof(f15530,plain,
    ( spl21_654
    | ~ spl21_54
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1459,f1376,f617,f15528]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( sdtasdt0(sK15(X0),sdtsldt0(X0,sK15(X0))) = X0
        | sz00 = sK15(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_54
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f618]) ).

fof(f15518,plain,
    ( spl21_653
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_652 ),
    inference(avatar_split_clause,[],[f15514,f15510,f13114,f5673,f15516]) ).

fof(f15516,plain,
    ( spl21_653
  <=> ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_653])]) ).

fof(f15514,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_652 ),
    inference(forward_demodulation,[],[f15513,f5675]) ).

fof(f15512,plain,
    ( spl21_652
    | ~ spl21_107
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1308,f1288,f1079,f15510]) ).

fof(f1308,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_107
    | ~ spl21_125 ),
    inference(duplicate_literal_removal,[],[f1307]) ).

fof(f1307,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK18(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK18(X1))
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_107
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f1080]) ).

fof(f15502,plain,
    ( spl21_651
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_650 ),
    inference(avatar_split_clause,[],[f15498,f15494,f13114,f5673,f15500]) ).

fof(f15500,plain,
    ( spl21_651
  <=> ! [X0] :
        ( xm = X0
        | xn = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_651])]) ).

fof(f15498,plain,
    ( ! [X0] :
        ( xm = X0
        | xn = X0
        | sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0)) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_650 ),
    inference(forward_demodulation,[],[f15497,f5675]) ).

fof(f15496,plain,
    ( spl21_650
    | ~ spl21_107
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1225,f1201,f1079,f15494]) ).

fof(f1225,plain,
    ( ! [X0] :
        ( sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_107
    | ~ spl21_118 ),
    inference(duplicate_literal_removal,[],[f1224]) ).

fof(f1224,plain,
    ( ! [X0] :
        ( sdtasdt0(sK18(X0),sK19(sK18(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_107
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f1080]) ).

fof(f15370,plain,
    ( spl21_649
    | ~ spl21_596
    | ~ spl21_648 ),
    inference(avatar_split_clause,[],[f15366,f15363,f13114,f15368]) ).

fof(f15363,plain,
    ( spl21_648
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz10 = X1
        | sdtasdt0(X1,X0) = X1
        | ~ sP4(sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_648])]) ).

fof(f15366,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = X1
        | ~ sP4(sdtasdt0(X1,X0)) )
    | ~ spl21_596
    | ~ spl21_648 ),
    inference(forward_demodulation,[],[f15364,f13116]) ).

fof(f15364,plain,
    ( ! [X0,X1] :
        ( ~ sP4(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz10 = X1
        | sdtasdt0(X1,X0) = X1
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_648 ),
    inference(avatar_component_clause,[],[f15363]) ).

fof(f15365,plain,
    ( spl21_648
    | ~ spl21_112
    | ~ spl21_116 ),
    inference(avatar_split_clause,[],[f1189,f1134,f1118,f15363]) ).

fof(f1189,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz10 = X1
        | sdtasdt0(X1,X0) = X1
        | ~ sP4(sdtasdt0(X1,X0)) )
    | ~ spl21_112
    | ~ spl21_116 ),
    inference(duplicate_literal_removal,[],[f1184]) ).

fof(f1184,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz10 = X1
        | sdtasdt0(X1,X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ sP4(sdtasdt0(X1,X0)) )
    | ~ spl21_112
    | ~ spl21_116 ),
    inference(resolution,[],[f1135,f1119]) ).

fof(f15361,plain,
    ( spl21_647
    | ~ spl21_98
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1060,f973,f956,f15359]) ).

fof(f15359,plain,
    ( spl21_647
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_647])]) ).

fof(f1060,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_98
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f957]) ).

fof(f15357,plain,
    ( spl21_646
    | ~ spl21_97
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1059,f973,f952,f15355]) ).

fof(f15355,plain,
    ( spl21_646
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_646])]) ).

fof(f1059,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_97
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f953]) ).

fof(f15353,plain,
    ( spl21_645
    | ~ spl21_98
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1051,f964,f956,f15351]) ).

fof(f15351,plain,
    ( spl21_645
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK20(X0,X1)) = sdtasdt0(sK20(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_645])]) ).

fof(f1051,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK20(X0,X1)) = sdtasdt0(sK20(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_98
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f957]) ).

fof(f15349,plain,
    ( spl21_644
    | ~ spl21_97
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1050,f964,f952,f15347]) ).

fof(f15347,plain,
    ( spl21_644
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK20(X0,X1)) = sdtpldt0(sK20(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_644])]) ).

fof(f1050,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK20(X0,X1)) = sdtpldt0(sK20(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_97
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f953]) ).

fof(f15345,plain,
    ( spl21_643
    | ~ spl21_98
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1042,f960,f956,f15343]) ).

fof(f15343,plain,
    ( spl21_643
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK19(X0,X1)) = sdtasdt0(sK19(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_643])]) ).

fof(f1042,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK19(X0,X1)) = sdtasdt0(sK19(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_98
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f957]) ).

fof(f15341,plain,
    ( spl21_642
    | ~ spl21_97
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1041,f960,f952,f15339]) ).

fof(f15339,plain,
    ( spl21_642
  <=> ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK19(X0,X1)) = sdtpldt0(sK19(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_642])]) ).

fof(f1041,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK19(X0,X1)) = sdtpldt0(sK19(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_97
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f953]) ).

fof(f15271,plain,
    ( spl21_641
    | ~ spl21_551
    | ~ spl21_640 ),
    inference(avatar_split_clause,[],[f15267,f15264,f10036,f15269]) ).

fof(f15264,plain,
    ( spl21_640
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_640])]) ).

fof(f15267,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK6) = sdtsldt0(sdtasdt0(X0,xk),xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_551
    | ~ spl21_640 ),
    inference(forward_demodulation,[],[f15265,f10038]) ).

fof(f15265,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
    | ~ spl21_640 ),
    inference(avatar_component_clause,[],[f15264]) ).

fof(f15266,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_20
    | spl21_640
    | ~ spl21_19
    | ~ spl21_143 ),
    inference(avatar_split_clause,[],[f1659,f1649,f432,f15264,f437,f342,f347]) ).

fof(f1659,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
        | sz00 = xr
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_19
    | ~ spl21_143 ),
    inference(resolution,[],[f1650,f434]) ).

fof(f15221,plain,
    ( ~ spl21_3
    | ~ spl21_2
    | spl21_507
    | spl21_639
    | ~ spl21_36
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1644,f1619,f530,f15219,f9312,f347,f352]) ).

fof(f15219,plain,
    ( spl21_639
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sK6),xk)
        | ~ aNaturalNumber0(X0)
        | xr = X0
        | ~ sdtlseqdt0(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_639])]) ).

fof(f1644,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sK6),xk)
        | ~ sdtlseqdt0(X0,xr)
        | xr = X0
        | sz00 = sK6
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK6) )
    | ~ spl21_36
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f532]) ).

fof(f15177,plain,
    ( ~ spl21_3
    | ~ spl21_2
    | spl21_507
    | spl21_638
    | ~ spl21_36
    | ~ spl21_142 ),
    inference(avatar_split_clause,[],[f1640,f1619,f530,f15175,f9312,f347,f352]) ).

fof(f15175,plain,
    ( spl21_638
  <=> ! [X0] :
        ( sdtlseqdt0(xk,sdtasdt0(X0,sK6))
        | ~ aNaturalNumber0(X0)
        | xr = X0
        | ~ sdtlseqdt0(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_638])]) ).

fof(f1640,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xk,sdtasdt0(X0,sK6))
        | ~ sdtlseqdt0(xr,X0)
        | xr = X0
        | sz00 = sK6
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(sK6) )
    | ~ spl21_36
    | ~ spl21_142 ),
    inference(superposition,[],[f1620,f532]) ).

fof(f15131,plain,
    ( ~ spl21_2
    | ~ spl21_3
    | spl21_20
    | spl21_637
    | ~ spl21_36
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1631,f1615,f530,f15129,f437,f352,f347]) ).

fof(f15129,plain,
    ( spl21_637
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,X0),xk)
        | ~ aNaturalNumber0(X0)
        | sK6 = X0
        | ~ sdtlseqdt0(X0,sK6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_637])]) ).

fof(f1631,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xr,X0),xk)
        | ~ sdtlseqdt0(X0,sK6)
        | sK6 = X0
        | sz00 = xr
        | ~ aNaturalNumber0(sK6)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_36
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f532]) ).

fof(f15083,plain,
    ( ~ spl21_2
    | ~ spl21_3
    | spl21_20
    | spl21_636
    | ~ spl21_36
    | ~ spl21_141 ),
    inference(avatar_split_clause,[],[f1627,f1615,f530,f15081,f437,f352,f347]) ).

fof(f15081,plain,
    ( spl21_636
  <=> ! [X0] :
        ( sdtlseqdt0(xk,sdtasdt0(xr,X0))
        | ~ aNaturalNumber0(X0)
        | sK6 = X0
        | ~ sdtlseqdt0(sK6,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_636])]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xk,sdtasdt0(xr,X0))
        | ~ sdtlseqdt0(sK6,X0)
        | sK6 = X0
        | sz00 = xr
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK6)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_36
    | ~ spl21_141 ),
    inference(superposition,[],[f1616,f532]) ).

fof(f15035,plain,
    ( spl21_635
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_633 ),
    inference(avatar_split_clause,[],[f15025,f15021,f4175,f407,f15032]) ).

fof(f15032,plain,
    ( spl21_635
  <=> sdtasdt0(sK11,xr) = sdtasdt0(xr,sdtsldt0(sdtasdt0(sK11,xr),xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_635])]) ).

fof(f15021,plain,
    ( spl21_633
  <=> sdtasdt0(xr,sK11) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xr,sK11),xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_633])]) ).

fof(f15025,plain,
    ( sdtasdt0(sK11,xr) = sdtasdt0(xr,sdtsldt0(sdtasdt0(sK11,xr),xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_633 ),
    inference(forward_demodulation,[],[f15023,f4728]) ).

fof(f15023,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xr,sK11),xr))
    | ~ spl21_633 ),
    inference(avatar_component_clause,[],[f15021]) ).

fof(f15030,plain,
    ( ~ spl21_634
    | spl21_34
    | ~ spl21_325
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13841,f13114,f5673,f507,f15027]) ).

fof(f13841,plain,
    ( xn != xm
    | spl21_34
    | ~ spl21_325
    | ~ spl21_596 ),
    inference(forward_demodulation,[],[f5687,f13116]) ).

fof(f5687,plain,
    ( sz10 != xm
    | spl21_34
    | ~ spl21_325 ),
    inference(superposition,[],[f509,f5675]) ).

fof(f15024,plain,
    ( ~ spl21_2
    | ~ spl21_247
    | spl21_20
    | spl21_633
    | ~ spl21_45
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1458,f1376,f577,f15021,f437,f3930,f347]) ).

fof(f1458,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xr,sK11),xr))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_45
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f579]) ).

fof(f14441,plain,
    ( spl21_632
    | ~ spl21_46
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1425,f1362,f582,f14439]) ).

fof(f14439,plain,
    ( spl21_632
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK15(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_632])]) ).

fof(f1425,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK15(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) )
    | ~ spl21_46
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f583]) ).

fof(f14437,plain,
    ( spl21_631
    | ~ spl21_46
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1399,f1358,f582,f14435]) ).

fof(f14435,plain,
    ( spl21_631
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK15(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_631])]) ).

fof(f1399,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK15(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK15(X2)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X2) )
    | ~ spl21_46
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f583]) ).

fof(f14400,plain,
    ( spl21_630
    | ~ spl21_325
    | ~ spl21_628 ),
    inference(avatar_split_clause,[],[f14391,f14387,f5673,f14398]) ).

fof(f14398,plain,
    ( spl21_630
  <=> ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtpldt0(xm,sdtsldt0(X1,X0))
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_630])]) ).

fof(f14387,plain,
    ( spl21_628
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_628])]) ).

fof(f14391,plain,
    ( ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtpldt0(xm,sdtsldt0(X1,X0))
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_628 ),
    inference(forward_demodulation,[],[f14390,f5675]) ).

fof(f14390,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
    | ~ spl21_325
    | ~ spl21_628 ),
    inference(forward_demodulation,[],[f14388,f5675]) ).

fof(f14388,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
    | ~ spl21_628 ),
    inference(avatar_component_clause,[],[f14387]) ).

fof(f14396,plain,
    ( ~ spl21_629
    | spl21_27
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13749,f13114,f472,f14393]) ).

fof(f472,plain,
    ( spl21_27
  <=> sz10 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).

fof(f13749,plain,
    ( xn != xk
    | spl21_27
    | ~ spl21_596 ),
    inference(superposition,[],[f474,f13116]) ).

fof(f474,plain,
    ( sz10 != xk
    | spl21_27 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f14389,plain,
    ( spl21_628
    | ~ spl21_81
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1263,f1213,f740,f14387]) ).

fof(f1263,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
    | ~ spl21_81
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f741]) ).

fof(f14352,plain,
    ( spl21_627
    | ~ spl21_325
    | ~ spl21_626 ),
    inference(avatar_split_clause,[],[f14348,f14344,f5673,f14350]) ).

fof(f14344,plain,
    ( spl21_626
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_626])]) ).

fof(f14348,plain,
    ( ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xm)
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_626 ),
    inference(forward_demodulation,[],[f14347,f5675]) ).

fof(f14347,plain,
    ( ! [X0,X1] :
        ( xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
    | ~ spl21_325
    | ~ spl21_626 ),
    inference(forward_demodulation,[],[f14345,f5675]) ).

fof(f14345,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
    | ~ spl21_626 ),
    inference(avatar_component_clause,[],[f14344]) ).

fof(f14346,plain,
    ( spl21_626
    | ~ spl21_80
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1262,f1213,f736,f14344]) ).

fof(f1262,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
    | ~ spl21_80
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f737]) ).

fof(f14309,plain,
    ( spl21_625
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_624 ),
    inference(avatar_split_clause,[],[f14305,f14301,f13114,f5673,f14307]) ).

fof(f14307,plain,
    ( spl21_625
  <=> ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtasdt0(xn,sdtsldt0(X1,X0))
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_625])]) ).

fof(f14305,plain,
    ( ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtasdt0(xn,sdtsldt0(X1,X0))
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_624 ),
    inference(forward_demodulation,[],[f14304,f13116]) ).

fof(f14303,plain,
    ( spl21_624
    | ~ spl21_79
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1261,f1213,f732,f14301]) ).

fof(f1261,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
    | ~ spl21_79
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f733]) ).

fof(f14266,plain,
    ( spl21_623
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_622 ),
    inference(avatar_split_clause,[],[f14262,f14258,f13114,f5673,f14264]) ).

fof(f14262,plain,
    ( ! [X0,X1] :
        ( sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),xn)
        | xm = X0
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_622 ),
    inference(forward_demodulation,[],[f14261,f13116]) ).

fof(f14260,plain,
    ( spl21_622
    | ~ spl21_78
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1260,f1213,f728,f14258]) ).

fof(f1260,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
    | ~ spl21_78
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f729]) ).

fof(f14256,plain,
    ( ~ spl21_621
    | spl21_21
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13748,f13114,f442,f14253]) ).

fof(f442,plain,
    ( spl21_21
  <=> sz10 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).

fof(f13748,plain,
    ( xn != xr
    | spl21_21
    | ~ spl21_596 ),
    inference(superposition,[],[f444,f13116]) ).

fof(f444,plain,
    ( sz10 != xr
    | spl21_21 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f14251,plain,
    ( spl21_620
    | ~ spl21_117
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1252,f1209,f1138,f14249]) ).

fof(f14249,plain,
    ( spl21_620
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_620])]) ).

fof(f1252,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_117
    | ~ spl21_120 ),
    inference(duplicate_literal_removal,[],[f1246]) ).

fof(f1246,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_117
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f1139]) ).

fof(f14247,plain,
    ( spl21_619
    | ~ spl21_117
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1237,f1205,f1138,f14245]) ).

fof(f14245,plain,
    ( spl21_619
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_619])]) ).

fof(f1237,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_117
    | ~ spl21_119 ),
    inference(duplicate_literal_removal,[],[f1231]) ).

fof(f1231,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK20(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_117
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f1139]) ).

fof(f14243,plain,
    ( spl21_618
    | ~ spl21_116
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1226,f1201,f1134,f14241]) ).

fof(f1226,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sK19(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_118 ),
    inference(duplicate_literal_removal,[],[f1218]) ).

fof(f1218,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X0,sK19(X0,sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_116
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f1135]) ).

fof(f14199,plain,
    ( spl21_617
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_616 ),
    inference(avatar_split_clause,[],[f14195,f14191,f13114,f5673,f14197]) ).

fof(f14195,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_616 ),
    inference(forward_demodulation,[],[f14194,f5675]) ).

fof(f14193,plain,
    ( spl21_616
    | ~ spl21_95
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1033,f956,f944,f14191]) ).

fof(f1033,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sK18(X1)) = sdtasdt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_95
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f945]) ).

fof(f14150,plain,
    ( spl21_615
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_614 ),
    inference(avatar_split_clause,[],[f14146,f14142,f13114,f5673,f14148]) ).

fof(f14146,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_614 ),
    inference(forward_demodulation,[],[f14145,f5675]) ).

fof(f14144,plain,
    ( spl21_614
    | ~ spl21_94
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1032,f956,f940,f14142]) ).

fof(f1032,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sK17(X1)) = sdtasdt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_94
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f941]) ).

fof(f14094,plain,
    ( spl21_613
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_612 ),
    inference(avatar_split_clause,[],[f14090,f14086,f13114,f5673,f14092]) ).

fof(f14090,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_325
    | ~ spl21_596
    | ~ spl21_612 ),
    inference(forward_demodulation,[],[f14089,f5675]) ).

fof(f14088,plain,
    ( spl21_612
    | ~ spl21_95
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1011,f952,f944,f14086]) ).

fof(f1011,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK18(X1)) = sdtpldt0(sK18(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_95
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f945]) ).

fof(f14079,plain,
    ( spl21_611
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_602 ),
    inference(avatar_split_clause,[],[f13944,f13312,f4175,f407,f14077]) ).

fof(f14077,plain,
    ( spl21_611
  <=> ! [X0] :
        ( sdtasdt0(X0,sK10) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_611])]) ).

fof(f13312,plain,
    ( spl21_602
  <=> ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,sK10)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_602])]) ).

fof(f13944,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK10) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_602 ),
    inference(forward_demodulation,[],[f13313,f4728]) ).

fof(f13313,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,sK10)
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_602 ),
    inference(avatar_component_clause,[],[f13312]) ).

fof(f14070,plain,
    ( spl21_599
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_590 ),
    inference(avatar_split_clause,[],[f13743,f12728,f4175,f407,f13292]) ).

fof(f13292,plain,
    ( spl21_599
  <=> ! [X0] :
        ( sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_599])]) ).

fof(f12728,plain,
    ( spl21_590
  <=> ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_590])]) ).

fof(f13743,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_590 ),
    inference(forward_demodulation,[],[f12729,f4728]) ).

fof(f12729,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl21_590 ),
    inference(avatar_component_clause,[],[f12728]) ).

fof(f14030,plain,
    ( spl21_610
    | ~ spl21_325
    | ~ spl21_609 ),
    inference(avatar_split_clause,[],[f14026,f14023,f5673,f14028]) ).

fof(f14026,plain,
    ( ! [X0,X1] :
        ( xm = X1
        | xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1) )
    | ~ spl21_325
    | ~ spl21_609 ),
    inference(forward_demodulation,[],[f14024,f5675]) ).

fof(f14025,plain,
    ( spl21_609
    | ~ spl21_596
    | ~ spl21_604 ),
    inference(avatar_split_clause,[],[f13840,f13460,f13114,f14023]) ).

fof(f13840,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz00 = X1 )
    | ~ spl21_596
    | ~ spl21_604 ),
    inference(forward_demodulation,[],[f13461,f13116]) ).

fof(f14020,plain,
    ( ~ spl21_608
    | spl21_17
    | ~ spl21_596 ),
    inference(avatar_split_clause,[],[f13747,f13114,f422,f14017]) ).

fof(f13747,plain,
    ( ~ sP4(xn)
    | spl21_17
    | ~ spl21_596 ),
    inference(superposition,[],[f424,f13116]) ).

fof(f424,plain,
    ( ~ sP4(sz10)
    | spl21_17 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f13806,plain,
    ( spl21_607
    | ~ spl21_156
    | ~ spl21_177
    | ~ spl21_325
    | ~ spl21_331
    | ~ spl21_599 ),
    inference(avatar_split_clause,[],[f13741,f13292,f5793,f5673,f1892,f1773,f13804]) ).

fof(f13804,plain,
    ( spl21_607
  <=> ! [X0] :
        ( sK10 = X0
        | sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_607])]) ).

fof(f1773,plain,
    ( spl21_156
  <=> sz00 = sdtasdt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_156])]) ).

fof(f1892,plain,
    ( spl21_177
  <=> sz00 = sdtasdt0(sz00,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_177])]) ).

fof(f13741,plain,
    ( ! [X0] :
        ( sK10 = X0
        | sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_156
    | ~ spl21_177
    | ~ spl21_325
    | ~ spl21_331
    | ~ spl21_599 ),
    inference(forward_demodulation,[],[f13293,f13432]) ).

fof(f13432,plain,
    ( xm = sK10
    | ~ spl21_156
    | ~ spl21_177
    | ~ spl21_325
    | ~ spl21_331 ),
    inference(forward_demodulation,[],[f5710,f13348]) ).

fof(f13348,plain,
    ( sK10 = sdtasdt0(xm,sK10)
    | ~ spl21_156
    | ~ spl21_331 ),
    inference(superposition,[],[f1775,f5795]) ).

fof(f5795,plain,
    ( sz00 = sK10
    | ~ spl21_331 ),
    inference(avatar_component_clause,[],[f5793]) ).

fof(f1775,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl21_156 ),
    inference(avatar_component_clause,[],[f1773]) ).

fof(f5710,plain,
    ( xm = sdtasdt0(xm,sK10)
    | ~ spl21_177
    | ~ spl21_325 ),
    inference(superposition,[],[f1894,f5675]) ).

fof(f1894,plain,
    ( sz00 = sdtasdt0(sz00,sK10)
    | ~ spl21_177 ),
    inference(avatar_component_clause,[],[f1892]) ).

fof(f13293,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl21_599 ),
    inference(avatar_component_clause,[],[f13292]) ).

fof(f13802,plain,
    ( ~ spl21_606
    | ~ spl21_331
    | spl21_451 ),
    inference(avatar_split_clause,[],[f13745,f7070,f5793,f13799]) ).

fof(f13745,plain,
    ( xn != sK10
    | ~ spl21_331
    | spl21_451 ),
    inference(forward_demodulation,[],[f7071,f5795]) ).

fof(f7071,plain,
    ( sz00 != xn
    | spl21_451 ),
    inference(avatar_component_clause,[],[f7070]) ).

fof(f13468,plain,
    ( spl21_605
    | ~ spl21_331
    | ~ spl21_451
    | ~ spl21_604 ),
    inference(avatar_split_clause,[],[f13464,f13460,f7070,f5793,f13466]) ).

fof(f13466,plain,
    ( spl21_605
  <=> ! [X0,X1] :
        ( sK10 = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_605])]) ).

fof(f13464,plain,
    ( ! [X0,X1] :
        ( sK10 = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_331
    | ~ spl21_451
    | ~ spl21_604 ),
    inference(forward_demodulation,[],[f13463,f13339]) ).

fof(f13339,plain,
    ( xn = sK10
    | ~ spl21_331
    | ~ spl21_451 ),
    inference(superposition,[],[f5795,f7072]) ).

fof(f7072,plain,
    ( sz00 = xn
    | ~ spl21_451 ),
    inference(avatar_component_clause,[],[f7070]) ).

fof(f13463,plain,
    ( ! [X0,X1] :
        ( xn = X1
        | sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1 )
    | ~ spl21_451
    | ~ spl21_604 ),
    inference(forward_demodulation,[],[f13461,f7072]) ).

fof(f13462,plain,
    ( spl21_604
    | ~ spl21_94
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1010,f952,f940,f13460]) ).

fof(f1010,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK17(X1)) = sdtpldt0(sK17(X1),X0)
        | ~ aNaturalNumber0(X0)
        | sP4(X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_94
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f941]) ).

fof(f13421,plain,
    ( ~ spl21_6
    | spl21_325
    | ~ spl21_5
    | spl21_603
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_135
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f5770,f4175,f1471,f670,f407,f13419,f362,f5673,f367]) ).

fof(f13419,plain,
    ( spl21_603
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_603])]) ).

fof(f1471,plain,
    ( spl21_135
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_135])]) ).

fof(f5770,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) != sdtasdt0(sK11,xr)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_135
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1503,f4728]) ).

fof(f1503,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,xm)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_65
    | ~ spl21_135 ),
    inference(superposition,[],[f1472,f672]) ).

fof(f1472,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_135 ),
    inference(avatar_component_clause,[],[f1471]) ).

fof(f13314,plain,
    ( ~ spl21_12
    | spl21_331
    | ~ spl21_7
    | spl21_602
    | ~ spl21_71
    | ~ spl21_135 ),
    inference(avatar_split_clause,[],[f1505,f1471,f698,f13312,f372,f5793,f397]) ).

fof(f1505,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,sK10)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | sz00 = sK10
        | ~ aNaturalNumber0(sK10) )
    | ~ spl21_71
    | ~ spl21_135 ),
    inference(superposition,[],[f1472,f700]) ).

fof(f13303,plain,
    ( spl21_601
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_600 ),
    inference(avatar_split_clause,[],[f13299,f13296,f4175,f407,f13301]) ).

fof(f13301,plain,
    ( spl21_601
  <=> ! [X0] :
        ( sdtasdt0(X0,xk) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_601])]) ).

fof(f13296,plain,
    ( spl21_600
  <=> ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,xk)
        | ~ aNaturalNumber0(X0)
        | xp = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_600])]) ).

fof(f13299,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xk) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_600 ),
    inference(forward_demodulation,[],[f13297,f4728]) ).

fof(f13297,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,xk)
        | ~ aNaturalNumber0(X0)
        | xp = X0 )
    | ~ spl21_600 ),
    inference(avatar_component_clause,[],[f13296]) ).

fof(f13298,plain,
    ( ~ spl21_1
    | spl21_26
    | ~ spl21_7
    | spl21_600
    | ~ spl21_68
    | ~ spl21_135 ),
    inference(avatar_split_clause,[],[f1504,f1471,f683,f13296,f372,f467,f342]) ).

fof(f1504,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(X0,xk)
        | xp = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xp)
        | sz00 = xk
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_68
    | ~ spl21_135 ),
    inference(superposition,[],[f1472,f685]) ).

fof(f13294,plain,
    ( spl21_599
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_590 ),
    inference(avatar_split_clause,[],[f13112,f12728,f4175,f407,f13292]) ).

fof(f13112,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_590 ),
    inference(forward_demodulation,[],[f12729,f4728]) ).

fof(f13124,plain,
    ( ~ spl21_5
    | spl21_451
    | spl21_596
    | spl21_597
    | ~ spl21_6
    | spl21_598
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_149
    | ~ spl21_269
    | ~ spl21_281 ),
    inference(avatar_split_clause,[],[f13109,f4964,f4175,f1714,f670,f407,f13122,f367,f13118,f13114,f7070,f362]) ).

fof(f13109,plain,
    ( ! [X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(xp,sdtpldt0(xn,xm)))
        | sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | sP2(X0,xn)
        | sP3(X1,xn)
        | ~ aNaturalNumber0(xm)
        | sP1(xn)
        | sz10 = xn
        | sz00 = xn
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_149
    | ~ spl21_269
    | ~ spl21_281 ),
    inference(forward_demodulation,[],[f13108,f4966]) ).

fof(f13108,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(sK11,xr)
        | sP2(X0,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xn)
        | ~ aNaturalNumber0(xm)
        | sP1(xn)
        | sz10 = xn
        | sz00 = xn
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_149
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1724,f4728]) ).

fof(f1724,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(xr,sK11)
        | sP2(X0,xn)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
        | sP3(X1,xn)
        | ~ aNaturalNumber0(xm)
        | sP1(xn)
        | sz10 = xn
        | sz00 = xn
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_65
    | ~ spl21_149 ),
    inference(superposition,[],[f1715,f672]) ).

fof(f13102,plain,
    ( spl21_595
    | ~ spl21_219
    | ~ spl21_263
    | ~ spl21_451 ),
    inference(avatar_split_clause,[],[f13063,f7070,f4150,f2125,f13099]) ).

fof(f13099,plain,
    ( spl21_595
  <=> doDivides0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_595])]) ).

fof(f13063,plain,
    ( doDivides0(xm,xn)
    | ~ spl21_219
    | ~ spl21_263
    | ~ spl21_451 ),
    inference(forward_demodulation,[],[f13057,f13038]) ).

fof(f13038,plain,
    ( xm = sdtpldt0(xn,xm)
    | ~ spl21_219
    | ~ spl21_451 ),
    inference(superposition,[],[f2127,f7072]) ).

fof(f13057,plain,
    ( doDivides0(sdtpldt0(xn,xm),xn)
    | ~ spl21_263
    | ~ spl21_451 ),
    inference(superposition,[],[f4152,f7072]) ).

fof(f13089,plain,
    ( spl21_594
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_593 ),
    inference(avatar_split_clause,[],[f13085,f13082,f4175,f407,f13087]) ).

fof(f13087,plain,
    ( spl21_594
  <=> ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sK10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_594])]) ).

fof(f13082,plain,
    ( spl21_593
  <=> ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sK10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_593])]) ).

fof(f13085,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | sK10 = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_593 ),
    inference(forward_demodulation,[],[f13083,f4728]) ).

fof(f13083,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | sK10 = X0 )
    | ~ spl21_593 ),
    inference(avatar_component_clause,[],[f13082]) ).

fof(f13084,plain,
    ( ~ spl21_7
    | spl21_30
    | ~ spl21_12
    | spl21_593
    | ~ spl21_71
    | ~ spl21_134 ),
    inference(avatar_split_clause,[],[f1495,f1467,f698,f13082,f397,f487,f372]) ).

fof(f1467,plain,
    ( spl21_134
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_134])]) ).

fof(f1495,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | sK10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK10)
        | sz00 = xp
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_71
    | ~ spl21_134 ),
    inference(superposition,[],[f1468,f700]) ).

fof(f1468,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_134 ),
    inference(avatar_component_clause,[],[f1467]) ).

fof(f13072,plain,
    ( spl21_592
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_591 ),
    inference(avatar_split_clause,[],[f13068,f13065,f4175,f407,f13070]) ).

fof(f13070,plain,
    ( spl21_592
  <=> ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xk = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_592])]) ).

fof(f13065,plain,
    ( spl21_591
  <=> ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | xk = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_591])]) ).

fof(f13068,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(sK11,xr)
        | ~ aNaturalNumber0(X0)
        | xk = X0 )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_591 ),
    inference(forward_demodulation,[],[f13066,f4728]) ).

fof(f13066,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | ~ aNaturalNumber0(X0)
        | xk = X0 )
    | ~ spl21_591 ),
    inference(avatar_component_clause,[],[f13065]) ).

fof(f13067,plain,
    ( ~ spl21_7
    | spl21_30
    | ~ spl21_1
    | spl21_591
    | ~ spl21_68
    | ~ spl21_134 ),
    inference(avatar_split_clause,[],[f1494,f1467,f683,f13065,f342,f487,f372]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) != sdtasdt0(xr,sK11)
        | xk = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk)
        | sz00 = xp
        | ~ aNaturalNumber0(xp) )
    | ~ spl21_68
    | ~ spl21_134 ),
    inference(superposition,[],[f1468,f685]) ).

fof(f12946,plain,
    ( ~ spl21_584
    | ~ spl21_47
    | spl21_585 ),
    inference(avatar_split_clause,[],[f12683,f12662,f586,f12647]) ).

fof(f12662,plain,
    ( spl21_585
  <=> sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_585])]) ).

fof(f12683,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ spl21_47
    | spl21_585 ),
    inference(resolution,[],[f12664,f587]) ).

fof(f12664,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | spl21_585 ),
    inference(avatar_component_clause,[],[f12662]) ).

fof(f12731,plain,
    ( ~ spl21_2
    | ~ spl21_154
    | ~ spl21_83
    | spl21_584 ),
    inference(avatar_split_clause,[],[f12708,f12647,f860,f1760,f347]) ).

fof(f12708,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_83
    | spl21_584 ),
    inference(resolution,[],[f12648,f861]) ).

fof(f12648,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | spl21_584 ),
    inference(avatar_component_clause,[],[f12647]) ).

fof(f12730,plain,
    ( ~ spl21_5
    | spl21_451
    | ~ spl21_6
    | spl21_590
    | ~ spl21_65
    | ~ spl21_134 ),
    inference(avatar_split_clause,[],[f1493,f1467,f670,f12728,f367,f7070,f362]) ).

fof(f1493,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,sK11) != sdtasdt0(xn,X0)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | sz00 = xn
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_65
    | ~ spl21_134 ),
    inference(superposition,[],[f1468,f672]) ).

fof(f12725,plain,
    ( ~ spl21_587
    | spl21_588
    | spl21_589
    | ~ spl21_7
    | spl21_30
    | spl21_31
    | ~ spl21_91
    | ~ spl21_107 ),
    inference(avatar_split_clause,[],[f1102,f1079,f925,f492,f487,f372,f12722,f12718,f12714]) ).

fof(f12714,plain,
    ( spl21_587
  <=> aNaturalNumber0(sK18(xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_587])]) ).

fof(f12718,plain,
    ( spl21_588
  <=> xp = sK18(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_588])]) ).

fof(f12722,plain,
    ( spl21_589
  <=> sz10 = sK18(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_589])]) ).

fof(f925,plain,
    ( spl21_91
  <=> ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ~ doDivides0(X1,xp)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_91])]) ).

fof(f1102,plain,
    ( sz10 = xp
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | sz10 = sK18(xp)
    | xp = sK18(xp)
    | ~ aNaturalNumber0(sK18(xp))
    | ~ spl21_91
    | ~ spl21_107 ),
    inference(resolution,[],[f1080,f926]) ).

fof(f926,plain,
    ( ! [X1] :
        ( ~ doDivides0(X1,xp)
        | sz10 = X1
        | xp = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_91 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f12712,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_586
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_269
    | ~ spl21_382 ),
    inference(avatar_split_clause,[],[f12590,f6360,f4175,f556,f402,f12710,f402,f347]) ).

fof(f12710,plain,
    ( spl21_586
  <=> ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ aNaturalNumber0(X0)
        | ~ isPrime0(X0)
        | sP2(xr,X0)
        | sP3(sK12,X0)
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(xn,xm))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_586])]) ).

fof(f12590,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sdtasdt0(sK12,xr))
        | ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(sK12,X0)
        | sP2(xr,X0)
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_13
    | ~ spl21_41
    | ~ spl21_269
    | ~ spl21_382 ),
    inference(forward_demodulation,[],[f12514,f4729]) ).

fof(f12514,plain,
    ( ! [X0] :
        ( ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(sK12,X0)
        | sP2(xr,X0)
        | ~ doDivides0(X0,sdtasdt0(xr,sK12))
        | ~ isPrime0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_382 ),
    inference(superposition,[],[f6361,f558]) ).

fof(f12695,plain,
    ( ~ spl21_380
    | spl21_50
    | ~ spl21_281
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f12668,f5262,f4964,f600,f6331]) ).

fof(f12668,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | spl21_50
    | ~ spl21_281
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f12655,f5264]) ).

fof(f12655,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | spl21_50
    | ~ spl21_281 ),
    inference(forward_demodulation,[],[f602,f4966]) ).

fof(f602,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl21_50 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f12667,plain,
    ( ~ spl21_381
    | spl21_49
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f12659,f5262,f596,f6340]) ).

fof(f12659,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(xr,sdtpldt0(xn,xm))
    | spl21_49
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f597,f5264]) ).

fof(f597,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr)
    | spl21_49 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f12666,plain,
    ( ~ spl21_299
    | spl21_49
    | ~ spl21_152
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f12658,f5262,f1752,f596,f5262]) ).

fof(f12658,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(xr,sdtpldt0(xn,xm))
    | spl21_49
    | ~ spl21_152
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f6354,f1754]) ).

fof(f6354,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(xr,sdtpldt0(xn,xm))
    | spl21_49
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f597,f5264]) ).

fof(f12665,plain,
    ( ~ spl21_585
    | spl21_50
    | ~ spl21_281
    | ~ spl21_299
    | ~ spl21_381 ),
    inference(avatar_split_clause,[],[f12651,f6340,f5262,f4964,f600,f12662]) ).

fof(f12651,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xr,sdtpldt0(xn,xm)))
    | spl21_50
    | ~ spl21_281
    | ~ spl21_299
    | ~ spl21_381 ),
    inference(forward_demodulation,[],[f6338,f12439]) ).

fof(f6338,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | spl21_50
    | ~ spl21_281
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f6337,f5264]) ).

fof(f6337,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | spl21_50
    | ~ spl21_281 ),
    inference(forward_demodulation,[],[f602,f4966]) ).

fof(f12650,plain,
    ( ~ spl21_154
    | ~ spl21_7
    | spl21_584
    | ~ spl21_49
    | ~ spl21_83
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f6328,f5262,f860,f596,f12647,f372,f1760]) ).

fof(f6328,plain,
    ( aNaturalNumber0(sdtpldt0(xr,sdtpldt0(xn,xm)))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_83
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f874,f5264]) ).

fof(f874,plain,
    ( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_83 ),
    inference(superposition,[],[f861,f598]) ).

fof(f12398,plain,
    ( spl21_583
    | ~ spl21_7
    | ~ spl21_2
    | spl21_153
    | ~ spl21_410 ),
    inference(avatar_split_clause,[],[f6850,f6576,f1756,f347,f372,f12395]) ).

fof(f12395,plain,
    ( spl21_583
  <=> xr = sdtpldt0(xp,sK20(xp,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_583])]) ).

fof(f6576,plain,
    ( spl21_410
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK20(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_410])]) ).

fof(f6850,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xp)
    | xr = sdtpldt0(xp,sK20(xp,xr))
    | spl21_153
    | ~ spl21_410 ),
    inference(resolution,[],[f6577,f1758]) ).

fof(f6577,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK20(X0,X1)) = X1 )
    | ~ spl21_410 ),
    inference(avatar_component_clause,[],[f6576]) ).

fof(f12392,plain,
    ( ~ spl21_580
    | spl21_581
    | spl21_582
    | ~ spl21_2
    | spl21_20
    | spl21_21
    | ~ spl21_90
    | ~ spl21_107 ),
    inference(avatar_split_clause,[],[f1101,f1079,f921,f442,f437,f347,f12389,f12385,f12381]) ).

fof(f12381,plain,
    ( spl21_580
  <=> aNaturalNumber0(sK18(xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_580])]) ).

fof(f12385,plain,
    ( spl21_581
  <=> xr = sK18(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_581])]) ).

fof(f12389,plain,
    ( spl21_582
  <=> sz10 = sK18(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_582])]) ).

fof(f921,plain,
    ( spl21_90
  <=> ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ~ doDivides0(X0,xr)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).

fof(f1101,plain,
    ( sz10 = xr
    | sz00 = xr
    | ~ aNaturalNumber0(xr)
    | sz10 = sK18(xr)
    | xr = sK18(xr)
    | ~ aNaturalNumber0(sK18(xr))
    | ~ spl21_90
    | ~ spl21_107 ),
    inference(resolution,[],[f1080,f922]) ).

fof(f922,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xr)
        | sz10 = X0
        | xr = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_90 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f12372,plain,
    ( ~ spl21_576
    | spl21_577
    | spl21_578
    | spl21_30
    | spl21_31
    | spl21_579
    | ~ spl21_91
    | ~ spl21_104 ),
    inference(avatar_split_clause,[],[f1095,f1067,f925,f12369,f492,f487,f12365,f12361,f12357]) ).

fof(f12357,plain,
    ( spl21_576
  <=> aNaturalNumber0(sK17(xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_576])]) ).

fof(f12361,plain,
    ( spl21_577
  <=> xp = sK17(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_577])]) ).

fof(f12365,plain,
    ( spl21_578
  <=> sz10 = sK17(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_578])]) ).

fof(f1095,plain,
    ( sP4(xp)
    | sz10 = xp
    | sz00 = xp
    | sz10 = sK17(xp)
    | xp = sK17(xp)
    | ~ aNaturalNumber0(sK17(xp))
    | ~ spl21_91
    | ~ spl21_104 ),
    inference(resolution,[],[f1068,f926]) ).

fof(f12322,plain,
    ( ~ spl21_572
    | spl21_573
    | spl21_574
    | spl21_20
    | spl21_21
    | spl21_575
    | ~ spl21_90
    | ~ spl21_104 ),
    inference(avatar_split_clause,[],[f1094,f1067,f921,f12319,f442,f437,f12315,f12311,f12307]) ).

fof(f12307,plain,
    ( spl21_572
  <=> aNaturalNumber0(sK17(xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_572])]) ).

fof(f12311,plain,
    ( spl21_573
  <=> xr = sK17(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_573])]) ).

fof(f12315,plain,
    ( spl21_574
  <=> sz10 = sK17(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_574])]) ).

fof(f1094,plain,
    ( sP4(xr)
    | sz10 = xr
    | sz00 = xr
    | sz10 = sK17(xr)
    | xr = sK17(xr)
    | ~ aNaturalNumber0(sK17(xr))
    | ~ spl21_90
    | ~ spl21_104 ),
    inference(resolution,[],[f1068,f922]) ).

fof(f11603,plain,
    ( spl21_571
    | ~ spl21_116
    | ~ spl21_144 ),
    inference(avatar_split_clause,[],[f1674,f1653,f1134,f11601]) ).

fof(f1653,plain,
    ( spl21_144
  <=> ! [X2,X0] :
        ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X0,sdtasdt0(X0,X2))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_144])]) ).

fof(f1674,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtsldt0(sdtasdt0(X1,X0),X1) = X0
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_144 ),
    inference(duplicate_literal_removal,[],[f1668]) ).

fof(f1668,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtsldt0(sdtasdt0(X1,X0),X1) = X0
        | sz00 = X1
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_144 ),
    inference(resolution,[],[f1654,f1135]) ).

fof(f1654,plain,
    ( ! [X2,X0] :
        ( ~ doDivides0(X0,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | sdtsldt0(sdtasdt0(X0,X2),X0) = X2
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_144 ),
    inference(avatar_component_clause,[],[f1653]) ).

fof(f11579,plain,
    ( ~ spl21_16
    | spl21_570
    | ~ spl21_93
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1323,f1294,f936,f11577,f417]) ).

fof(f11577,plain,
    ( spl21_570
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | sz00 = X1
        | sz10 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_570])]) ).

fof(f1323,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl21_93
    | ~ spl21_126 ),
    inference(duplicate_literal_removal,[],[f1311]) ).

fof(f1311,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_93
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f937]) ).

fof(f11575,plain,
    ( spl21_569
    | ~ spl21_117
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1320,f1294,f1138,f11573]) ).

fof(f11573,plain,
    ( spl21_569
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_569])]) ).

fof(f1320,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_117
    | ~ spl21_126 ),
    inference(duplicate_literal_removal,[],[f1314]) ).

fof(f1314,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_117
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f1139]) ).

fof(f11571,plain,
    ( spl21_568
    | ~ spl21_116
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1309,f1288,f1134,f11569]) ).

fof(f11569,plain,
    ( spl21_568
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,sdtasdt0(X1,X2))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_568])]) ).

fof(f1309,plain,
    ( ! [X2,X0,X1] :
        ( doDivides0(X0,sdtasdt0(X1,X2))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_116
    | ~ spl21_125 ),
    inference(duplicate_literal_removal,[],[f1301]) ).

fof(f1301,plain,
    ( ! [X2,X0,X1] :
        ( doDivides0(X0,sdtasdt0(X1,X2))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_116
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f1135]) ).

fof(f11567,plain,
    ( spl21_567
    | ~ spl21_115
    | ~ spl21_117 ),
    inference(avatar_split_clause,[],[f1199,f1138,f1130,f11565]) ).

fof(f11565,plain,
    ( spl21_567
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = X1
        | ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_567])]) ).

fof(f1199,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = X1
        | ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
    | ~ spl21_115
    | ~ spl21_117 ),
    inference(duplicate_literal_removal,[],[f1191]) ).

fof(f1191,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = X1
        | ~ sdtlseqdt0(sdtpldt0(X1,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
    | ~ spl21_115
    | ~ spl21_117 ),
    inference(resolution,[],[f1139,f1131]) ).

fof(f11563,plain,
    ( spl21_566
    | ~ spl21_113
    | ~ spl21_117 ),
    inference(avatar_split_clause,[],[f1198,f1138,f1122,f11561]) ).

fof(f11561,plain,
    ( spl21_566
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | iLess0(X1,sdtpldt0(X1,X0))
        | sdtpldt0(X1,X0) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_566])]) ).

fof(f1198,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | iLess0(X1,sdtpldt0(X1,X0))
        | sdtpldt0(X1,X0) = X1 )
    | ~ spl21_113
    | ~ spl21_117 ),
    inference(duplicate_literal_removal,[],[f1192]) ).

fof(f1192,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | iLess0(X1,sdtpldt0(X1,X0))
        | sdtpldt0(X1,X0) = X1
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_113
    | ~ spl21_117 ),
    inference(resolution,[],[f1139,f1123]) ).

fof(f11559,plain,
    ( spl21_565
    | ~ spl21_114
    | ~ spl21_116 ),
    inference(avatar_split_clause,[],[f1190,f1134,f1126,f11557]) ).

fof(f11557,plain,
    ( spl21_565
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(X1,X0)
        | sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_565])]) ).

fof(f1190,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(X1,X0)
        | sdtlseqdt0(X1,sdtasdt0(X1,X0)) )
    | ~ spl21_114
    | ~ spl21_116 ),
    inference(duplicate_literal_removal,[],[f1183]) ).

fof(f1183,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(X1,X0)
        | sdtlseqdt0(X1,sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(sdtasdt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_114
    | ~ spl21_116 ),
    inference(resolution,[],[f1135,f1127]) ).

fof(f11162,plain,
    ( spl21_564
    | ~ spl21_16
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1570,f1489,f417,f11160]) ).

fof(f1570,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_16
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f419]) ).

fof(f11134,plain,
    ( spl21_563
    | ~ spl21_15
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1569,f1489,f412,f11132]) ).

fof(f1569,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_15
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f414]) ).

fof(f11130,plain,
    ( spl21_562
    | ~ spl21_16
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1544,f1485,f417,f11128]) ).

fof(f1544,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_16
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f419]) ).

fof(f11126,plain,
    ( spl21_561
    | ~ spl21_15
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1543,f1485,f412,f11124]) ).

fof(f1543,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f414]) ).

fof(f11122,plain,
    ( spl21_560
    | ~ spl21_77
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1259,f1213,f724,f11120]) ).

fof(f11120,plain,
    ( spl21_560
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_560])]) ).

fof(f1259,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
    | ~ spl21_77
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f725]) ).

fof(f11118,plain,
    ( spl21_559
    | ~ spl21_76
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1258,f1213,f720,f11116]) ).

fof(f11116,plain,
    ( spl21_559
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_559])]) ).

fof(f1258,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
    | ~ spl21_76
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f721]) ).

fof(f11083,plain,
    ( ~ spl21_16
    | spl21_558
    | ~ spl21_93
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1255,f1209,f936,f11081,f417]) ).

fof(f1255,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_93
    | ~ spl21_120 ),
    inference(duplicate_literal_removal,[],[f1243]) ).

fof(f1243,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f937]) ).

fof(f11048,plain,
    ( ~ spl21_16
    | spl21_557
    | ~ spl21_93
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1240,f1205,f936,f11046,f417]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sK20(sz10,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_93
    | ~ spl21_119 ),
    inference(duplicate_literal_removal,[],[f1228]) ).

fof(f1228,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sK20(sz10,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f937]) ).

fof(f11044,plain,
    ( spl21_556
    | ~ spl21_104
    | ~ spl21_114 ),
    inference(avatar_split_clause,[],[f1169,f1126,f1067,f11042]) ).

fof(f11042,plain,
    ( spl21_556
  <=> ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK17(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_556])]) ).

fof(f1169,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK17(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0 )
    | ~ spl21_104
    | ~ spl21_114 ),
    inference(duplicate_literal_removal,[],[f1166]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK17(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17(X0))
        | sP4(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl21_104
    | ~ spl21_114 ),
    inference(resolution,[],[f1127,f1068]) ).

fof(f11016,plain,
    ( spl21_555
    | ~ spl21_84
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1015,f956,f864,f11014]) ).

fof(f1015,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_84
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f865]) ).

fof(f11012,plain,
    ( spl21_554
    | ~ spl21_83
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1014,f956,f860,f11010]) ).

fof(f1014,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_83
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f861]) ).

fof(f11008,plain,
    ( spl21_553
    | ~ spl21_84
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f993,f952,f864,f11006]) ).

fof(f993,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_84
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f865]) ).

fof(f11004,plain,
    ( spl21_552
    | ~ spl21_83
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f992,f952,f860,f11002]) ).

fof(f992,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_83
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f861]) ).

fof(f10039,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_20
    | spl21_551
    | ~ spl21_3
    | ~ spl21_19
    | ~ spl21_36
    | ~ spl21_144 ),
    inference(avatar_split_clause,[],[f1670,f1653,f530,f432,f352,f10036,f437,f342,f347]) ).

fof(f1670,plain,
    ( ~ doDivides0(xr,xk)
    | ~ aNaturalNumber0(sK6)
    | sK6 = sdtsldt0(xk,xr)
    | sz00 = xr
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_36
    | ~ spl21_144 ),
    inference(superposition,[],[f1654,f532]) ).

fof(f10005,plain,
    ( spl21_550
    | ~ spl21_13
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1586,f1489,f402,f10003]) ).

fof(f10003,plain,
    ( spl21_550
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK12),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK12,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_550])]) ).

fof(f1586,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK12),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK12,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_13
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f404]) ).

fof(f10001,plain,
    ( spl21_549
    | ~ spl21_14
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1585,f1489,f407,f9999]) ).

fof(f9999,plain,
    ( spl21_549
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK11),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK11,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_549])]) ).

fof(f1585,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK11),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK11,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_14
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f409]) ).

fof(f9997,plain,
    ( spl21_548
    | ~ spl21_12
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1584,f1489,f397,f9995]) ).

fof(f9995,plain,
    ( spl21_548
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_548])]) ).

fof(f1584,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_12
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f399]) ).

fof(f9993,plain,
    ( spl21_547
    | ~ spl21_10
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1583,f1489,f387,f9991]) ).

fof(f9991,plain,
    ( spl21_547
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK9),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK9,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_547])]) ).

fof(f1583,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK9),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK9,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_10
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f389]) ).

fof(f9989,plain,
    ( spl21_546
    | ~ spl21_8
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1582,f1489,f377,f9987]) ).

fof(f9987,plain,
    ( spl21_546
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK8),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK8,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_546])]) ).

fof(f1582,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK8),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK8,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_8
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f379]) ).

fof(f9985,plain,
    ( spl21_545
    | ~ spl21_9
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1581,f1489,f382,f9983]) ).

fof(f9983,plain,
    ( spl21_545
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK7),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK7,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_545])]) ).

fof(f1581,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK7),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK7,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_9
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f384]) ).

fof(f9981,plain,
    ( spl21_544
    | ~ spl21_3
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1580,f1489,f352,f9979]) ).

fof(f9979,plain,
    ( spl21_544
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK6),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK6,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_544])]) ).

fof(f1580,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK6),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK6,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_3
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f354]) ).

fof(f9977,plain,
    ( spl21_543
    | ~ spl21_2
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1579,f1489,f347,f9975]) ).

fof(f9975,plain,
    ( spl21_543
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_543])]) ).

fof(f1579,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_2
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f349]) ).

fof(f9973,plain,
    ( spl21_542
    | ~ spl21_1
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1578,f1489,f342,f9971]) ).

fof(f9971,plain,
    ( spl21_542
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xk),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xk,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_542])]) ).

fof(f1578,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xk),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xk,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_1
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f344]) ).

fof(f9969,plain,
    ( spl21_541
    | ~ spl21_7
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1577,f1489,f372,f9967]) ).

fof(f9967,plain,
    ( spl21_541
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_541])]) ).

fof(f1577,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_7
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f374]) ).

fof(f9933,plain,
    ( spl21_540
    | ~ spl21_6
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1576,f1489,f367,f9931]) ).

fof(f9931,plain,
    ( spl21_540
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_540])]) ).

fof(f1576,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_6
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f369]) ).

fof(f9929,plain,
    ( spl21_539
    | ~ spl21_5
    | ~ spl21_139 ),
    inference(avatar_split_clause,[],[f1575,f1489,f362,f9927]) ).

fof(f9927,plain,
    ( spl21_539
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_539])]) ).

fof(f1575,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_5
    | ~ spl21_139 ),
    inference(resolution,[],[f1490,f364]) ).

fof(f9925,plain,
    ( spl21_538
    | ~ spl21_13
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1560,f1485,f402,f9923]) ).

fof(f1560,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK12)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_13
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f404]) ).

fof(f9921,plain,
    ( spl21_537
    | ~ spl21_14
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1559,f1485,f407,f9919]) ).

fof(f1559,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK11)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f409]) ).

fof(f9917,plain,
    ( spl21_536
    | ~ spl21_12
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1558,f1485,f397,f9915]) ).

fof(f1558,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_12
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f399]) ).

fof(f9913,plain,
    ( spl21_535
    | ~ spl21_10
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1557,f1485,f387,f9911]) ).

fof(f1557,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK9)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_10
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f389]) ).

fof(f9909,plain,
    ( spl21_534
    | ~ spl21_8
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1556,f1485,f377,f9907]) ).

fof(f1556,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK8)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_8
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f379]) ).

fof(f9905,plain,
    ( spl21_533
    | ~ spl21_9
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1555,f1485,f382,f9903]) ).

fof(f1555,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK7)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_9
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f384]) ).

fof(f9901,plain,
    ( spl21_532
    | ~ spl21_3
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1554,f1485,f352,f9899]) ).

fof(f1554,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK6)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f354]) ).

fof(f9897,plain,
    ( spl21_531
    | ~ spl21_2
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1553,f1485,f347,f9895]) ).

fof(f1553,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_2
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f349]) ).

fof(f9861,plain,
    ( spl21_530
    | ~ spl21_1
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1552,f1485,f342,f9859]) ).

fof(f1552,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xk)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f344]) ).

fof(f9857,plain,
    ( spl21_529
    | ~ spl21_7
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1551,f1485,f372,f9855]) ).

fof(f1551,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f374]) ).

fof(f9853,plain,
    ( spl21_528
    | ~ spl21_6
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1550,f1485,f367,f9851]) ).

fof(f1550,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_6
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f369]) ).

fof(f9849,plain,
    ( spl21_527
    | ~ spl21_5
    | ~ spl21_138 ),
    inference(avatar_split_clause,[],[f1549,f1485,f362,f9847]) ).

fof(f1549,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_5
    | ~ spl21_138 ),
    inference(resolution,[],[f1486,f364]) ).

fof(f9824,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_526
    | ~ spl21_41
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1542,f1481,f556,f9822,f402,f347]) ).

fof(f9822,plain,
    ( spl21_526
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK12),xk)
        | ~ aNaturalNumber0(X0)
        | xr = X0
        | ~ sdtlseqdt0(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_526])]) ).

fof(f1542,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK12),xk)
        | ~ aNaturalNumber0(sK12)
        | ~ sdtlseqdt0(X0,xr)
        | xr = X0
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_41
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f558]) ).

fof(f9800,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_525
    | ~ spl21_39
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1541,f1481,f545,f9798,f387,f342]) ).

fof(f9798,plain,
    ( spl21_525
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK9),xp)
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(X0,xk) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_525])]) ).

fof(f1541,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK9),xp)
        | ~ aNaturalNumber0(sK9)
        | ~ sdtlseqdt0(X0,xk)
        | xk = X0
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_39
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f547]) ).

fof(f9775,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_524
    | ~ spl21_38
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1540,f1481,f540,f9773,f382,f367]) ).

fof(f9773,plain,
    ( spl21_524
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK7),xp)
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_524])]) ).

fof(f1540,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK7),xp)
        | ~ aNaturalNumber0(sK7)
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_38
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f542]) ).

fof(f9771,plain,
    ( spl21_523
    | ~ spl21_154
    | ~ spl21_316 ),
    inference(avatar_split_clause,[],[f5631,f5509,f1760,f9769]) ).

fof(f9769,plain,
    ( spl21_523
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_523])]) ).

fof(f5631,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_316 ),
    inference(resolution,[],[f5510,f1761]) ).

fof(f9747,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_522
    | ~ spl21_37
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1539,f1481,f535,f9745,f377,f362]) ).

fof(f9745,plain,
    ( spl21_522
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK8),xp)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_522])]) ).

fof(f1539,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sK8),xp)
        | ~ aNaturalNumber0(sK8)
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_37
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f537]) ).

fof(f9723,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_521
    | ~ spl21_41
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1537,f1481,f556,f9721,f402,f347]) ).

fof(f9721,plain,
    ( spl21_521
  <=> ! [X0] :
        ( sdtlseqdt0(xk,sdtpldt0(X0,sK12))
        | ~ aNaturalNumber0(X0)
        | xr = X0
        | ~ sdtlseqdt0(xr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_521])]) ).

fof(f1537,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xk,sdtpldt0(X0,sK12))
        | ~ aNaturalNumber0(sK12)
        | ~ sdtlseqdt0(xr,X0)
        | xr = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f558]) ).

fof(f9699,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_520
    | ~ spl21_39
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1536,f1481,f545,f9697,f387,f342]) ).

fof(f9697,plain,
    ( spl21_520
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK9))
        | ~ aNaturalNumber0(X0)
        | xk = X0
        | ~ sdtlseqdt0(xk,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_520])]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK9))
        | ~ aNaturalNumber0(sK9)
        | ~ sdtlseqdt0(xk,X0)
        | xk = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_39
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f547]) ).

fof(f9674,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_519
    | ~ spl21_38
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1535,f1481,f540,f9672,f382,f367]) ).

fof(f9672,plain,
    ( spl21_519
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK7))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_519])]) ).

fof(f1535,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK7))
        | ~ aNaturalNumber0(sK7)
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_38
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f542]) ).

fof(f9650,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_518
    | ~ spl21_37
    | ~ spl21_137 ),
    inference(avatar_split_clause,[],[f1534,f1481,f535,f9648,f377,f362]) ).

fof(f9648,plain,
    ( spl21_518
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK8))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_518])]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(X0,sK8))
        | ~ aNaturalNumber0(sK8)
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_137 ),
    inference(superposition,[],[f1482,f537]) ).

fof(f9625,plain,
    ( ~ spl21_13
    | ~ spl21_2
    | spl21_517
    | ~ spl21_41
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1527,f1477,f556,f9623,f347,f402]) ).

fof(f9623,plain,
    ( spl21_517
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,X0),xk)
        | ~ aNaturalNumber0(X0)
        | sK12 = X0
        | ~ sdtlseqdt0(X0,sK12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_517])]) ).

fof(f1527,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xr,X0),xk)
        | ~ aNaturalNumber0(xr)
        | ~ sdtlseqdt0(X0,sK12)
        | sK12 = X0
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_41
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f558]) ).

fof(f9599,plain,
    ( ~ spl21_10
    | ~ spl21_1
    | spl21_516
    | ~ spl21_39
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1526,f1477,f545,f9597,f342,f387]) ).

fof(f9597,plain,
    ( spl21_516
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xk,X0),xp)
        | ~ aNaturalNumber0(X0)
        | sK9 = X0
        | ~ sdtlseqdt0(X0,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_516])]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xk,X0),xp)
        | ~ aNaturalNumber0(xk)
        | ~ sdtlseqdt0(X0,sK9)
        | sK9 = X0
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_39
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f547]) ).

fof(f9573,plain,
    ( ~ spl21_9
    | ~ spl21_6
    | spl21_515
    | ~ spl21_38
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1525,f1477,f540,f9571,f367,f382]) ).

fof(f9571,plain,
    ( spl21_515
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xm,X0),xp)
        | ~ aNaturalNumber0(X0)
        | sK7 = X0
        | ~ sdtlseqdt0(X0,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_515])]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xm,X0),xp)
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(X0,sK7)
        | sK7 = X0
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_38
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f542]) ).

fof(f9547,plain,
    ( ~ spl21_8
    | ~ spl21_5
    | spl21_514
    | ~ spl21_37
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1524,f1477,f535,f9545,f362,f377]) ).

fof(f9545,plain,
    ( spl21_514
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xp)
        | ~ aNaturalNumber0(X0)
        | sK8 = X0
        | ~ sdtlseqdt0(X0,sK8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_514])]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xp)
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(X0,sK8)
        | sK8 = X0
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_37
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f537]) ).

fof(f9538,plain,
    ( spl21_513
    | ~ spl21_263
    | ~ spl21_507 ),
    inference(avatar_split_clause,[],[f9384,f9312,f4150,f9535]) ).

fof(f9384,plain,
    ( doDivides0(sdtpldt0(xn,xm),sK6)
    | ~ spl21_263
    | ~ spl21_507 ),
    inference(superposition,[],[f4152,f9314]) ).

fof(f9314,plain,
    ( sz00 = sK6
    | ~ spl21_507 ),
    inference(avatar_component_clause,[],[f9312]) ).

fof(f9502,plain,
    ( ~ spl21_13
    | ~ spl21_2
    | spl21_512
    | ~ spl21_41
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1522,f1477,f556,f9500,f347,f402]) ).

fof(f9500,plain,
    ( spl21_512
  <=> ! [X0] :
        ( sdtlseqdt0(xk,sdtpldt0(xr,X0))
        | ~ aNaturalNumber0(X0)
        | sK12 = X0
        | ~ sdtlseqdt0(sK12,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_512])]) ).

fof(f1522,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xk,sdtpldt0(xr,X0))
        | ~ aNaturalNumber0(xr)
        | ~ sdtlseqdt0(sK12,X0)
        | sK12 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12) )
    | ~ spl21_41
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f558]) ).

fof(f9465,plain,
    ( ~ spl21_10
    | ~ spl21_1
    | spl21_511
    | ~ spl21_39
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1521,f1477,f545,f9463,f342,f387]) ).

fof(f9463,plain,
    ( spl21_511
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xk,X0))
        | ~ aNaturalNumber0(X0)
        | sK9 = X0
        | ~ sdtlseqdt0(sK9,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_511])]) ).

fof(f1521,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xk,X0))
        | ~ aNaturalNumber0(xk)
        | ~ sdtlseqdt0(sK9,X0)
        | sK9 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9) )
    | ~ spl21_39
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f547]) ).

fof(f9428,plain,
    ( ~ spl21_9
    | ~ spl21_6
    | spl21_510
    | ~ spl21_38
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1520,f1477,f540,f9426,f367,f382]) ).

fof(f9426,plain,
    ( spl21_510
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | sK7 = X0
        | ~ sdtlseqdt0(sK7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_510])]) ).

fof(f1520,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(sK7,X0)
        | sK7 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7) )
    | ~ spl21_38
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f542]) ).

fof(f9391,plain,
    ( ~ spl21_8
    | ~ spl21_5
    | spl21_509
    | ~ spl21_37
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1519,f1477,f535,f9389,f362,f377]) ).

fof(f9389,plain,
    ( spl21_509
  <=> ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | sK8 = X0
        | ~ sdtlseqdt0(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_509])]) ).

fof(f1519,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xp,sdtpldt0(xn,X0))
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(sK8,X0)
        | sK8 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8) )
    | ~ spl21_37
    | ~ spl21_136 ),
    inference(superposition,[],[f1478,f537]) ).

fof(f9318,plain,
    ( ~ spl21_3
    | spl21_507
    | ~ spl21_2
    | spl21_508
    | ~ spl21_36
    | ~ spl21_135 ),
    inference(avatar_split_clause,[],[f1502,f1471,f530,f9316,f347,f9312,f352]) ).

fof(f9316,plain,
    ( spl21_508
  <=> ! [X0] :
        ( xk != sdtasdt0(X0,sK6)
        | ~ aNaturalNumber0(X0)
        | xr = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_508])]) ).

fof(f1502,plain,
    ( ! [X0] :
        ( xk != sdtasdt0(X0,sK6)
        | xr = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xr)
        | sz00 = sK6
        | ~ aNaturalNumber0(sK6) )
    | ~ spl21_36
    | ~ spl21_135 ),
    inference(superposition,[],[f1472,f532]) ).

fof(f9310,plain,
    ( spl21_506
    | ~ spl21_154
    | ~ spl21_315 ),
    inference(avatar_split_clause,[],[f5602,f5505,f1760,f9308]) ).

fof(f5602,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_154
    | ~ spl21_315 ),
    inference(resolution,[],[f5506,f1761]) ).

fof(f9297,plain,
    ( ~ spl21_2
    | spl21_20
    | ~ spl21_3
    | spl21_505
    | ~ spl21_36
    | ~ spl21_134 ),
    inference(avatar_split_clause,[],[f1492,f1467,f530,f9295,f352,f437,f347]) ).

fof(f9295,plain,
    ( spl21_505
  <=> ! [X0] :
        ( xk != sdtasdt0(xr,X0)
        | ~ aNaturalNumber0(X0)
        | sK6 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_505])]) ).

fof(f1492,plain,
    ( ! [X0] :
        ( xk != sdtasdt0(xr,X0)
        | sK6 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK6)
        | sz00 = xr
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_36
    | ~ spl21_134 ),
    inference(superposition,[],[f1468,f532]) ).

fof(f9269,plain,
    ( spl21_504
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_503 ),
    inference(avatar_split_clause,[],[f9264,f9260,f4175,f407,f9266]) ).

fof(f9266,plain,
    ( spl21_504
  <=> sdtasdt0(sK11,xr) = sdtasdt0(xr,sK19(xr,sdtasdt0(sK11,xr))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_504])]) ).

fof(f9260,plain,
    ( spl21_503
  <=> sdtasdt0(xr,sK11) = sdtasdt0(xr,sK19(xr,sdtasdt0(xr,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_503])]) ).

fof(f9264,plain,
    ( sdtasdt0(sK11,xr) = sdtasdt0(xr,sK19(xr,sdtasdt0(sK11,xr)))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_503 ),
    inference(forward_demodulation,[],[f9262,f4728]) ).

fof(f9262,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xr,sK19(xr,sdtasdt0(xr,sK11)))
    | ~ spl21_503 ),
    inference(avatar_component_clause,[],[f9260]) ).

fof(f9263,plain,
    ( ~ spl21_2
    | ~ spl21_247
    | spl21_503
    | ~ spl21_45
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1221,f1201,f577,f9260,f3930,f347]) ).

fof(f1221,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xr,sK19(xr,sdtasdt0(xr,sK11)))
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_45
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f579]) ).

fof(f9234,plain,
    ( spl21_502
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_501 ),
    inference(avatar_split_clause,[],[f9229,f9225,f4175,f407,f9231]) ).

fof(f9231,plain,
    ( spl21_502
  <=> sdtasdt0(sK11,xr) = sdtasdt0(xp,sK19(xp,sdtasdt0(sK11,xr))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_502])]) ).

fof(f9225,plain,
    ( spl21_501
  <=> sdtasdt0(xr,sK11) = sdtasdt0(xp,sK19(xp,sdtasdt0(xr,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_501])]) ).

fof(f9229,plain,
    ( sdtasdt0(sK11,xr) = sdtasdt0(xp,sK19(xp,sdtasdt0(sK11,xr)))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_501 ),
    inference(forward_demodulation,[],[f9227,f4728]) ).

fof(f9227,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xp,sK19(xp,sdtasdt0(xr,sK11)))
    | ~ spl21_501 ),
    inference(avatar_component_clause,[],[f9225]) ).

fof(f9228,plain,
    ( ~ spl21_7
    | ~ spl21_247
    | spl21_501
    | ~ spl21_44
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1219,f1201,f572,f9225,f3930,f372]) ).

fof(f1219,plain,
    ( sdtasdt0(xr,sK11) = sdtasdt0(xp,sK19(xp,sdtasdt0(xr,sK11)))
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xp)
    | ~ spl21_44
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f574]) ).

fof(f9217,plain,
    ( spl21_500
    | ~ spl21_154
    | ~ spl21_314 ),
    inference(avatar_split_clause,[],[f5573,f5501,f1760,f9215]) ).

fof(f9215,plain,
    ( spl21_500
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_500])]) ).

fof(f5573,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0)) )
    | ~ spl21_154
    | ~ spl21_314 ),
    inference(resolution,[],[f5502,f1761]) ).

fof(f8891,plain,
    ( spl21_499
    | ~ spl21_154
    | ~ spl21_313 ),
    inference(avatar_split_clause,[],[f5544,f5497,f1760,f8889]) ).

fof(f8889,plain,
    ( spl21_499
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_499])]) ).

fof(f5544,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) )
    | ~ spl21_154
    | ~ spl21_313 ),
    inference(resolution,[],[f5498,f1761]) ).

fof(f8843,plain,
    ( spl21_498
    | ~ spl21_54
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1305,f1288,f617,f8841]) ).

fof(f8841,plain,
    ( spl21_498
  <=> ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK15(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_498])]) ).

fof(f1305,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,X1)
        | ~ doDivides0(X0,sK15(X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK15(X1))
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) )
    | ~ spl21_54
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f618]) ).

fof(f8839,plain,
    ( spl21_497
    | ~ spl21_54
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1222,f1201,f617,f8837]) ).

fof(f8837,plain,
    ( spl21_497
  <=> ! [X0] :
        ( sdtasdt0(sK15(X0),sK19(sK15(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_497])]) ).

fof(f1222,plain,
    ( ! [X0] :
        ( sdtasdt0(sK15(X0),sK19(sK15(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_54
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f618]) ).

fof(f8805,plain,
    ( spl21_496
    | ~ spl21_81
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1058,f973,f740,f8803]) ).

fof(f8803,plain,
    ( spl21_496
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_496])]) ).

fof(f1058,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl21_81
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f741]) ).

fof(f8801,plain,
    ( spl21_495
    | ~ spl21_80
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1057,f973,f736,f8799]) ).

fof(f8799,plain,
    ( spl21_495
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_495])]) ).

fof(f1057,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl21_80
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f737]) ).

fof(f8797,plain,
    ( spl21_494
    | ~ spl21_79
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1056,f973,f732,f8795]) ).

fof(f8795,plain,
    ( spl21_494
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_494])]) ).

fof(f1056,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
    | ~ spl21_79
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f733]) ).

fof(f8793,plain,
    ( spl21_493
    | ~ spl21_78
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1055,f973,f728,f8791]) ).

fof(f8791,plain,
    ( spl21_493
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_493])]) ).

fof(f1055,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
    | ~ spl21_78
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f729]) ).

fof(f8789,plain,
    ( spl21_492
    | ~ spl21_81
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1049,f964,f740,f8787]) ).

fof(f8787,plain,
    ( spl21_492
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtpldt0(sz00,sK20(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_492])]) ).

fof(f1049,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtpldt0(sz00,sK20(X0,X1)) )
    | ~ spl21_81
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f741]) ).

fof(f8785,plain,
    ( spl21_491
    | ~ spl21_80
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1048,f964,f736,f8783]) ).

fof(f8783,plain,
    ( spl21_491
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtpldt0(sK20(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_491])]) ).

fof(f1048,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtpldt0(sK20(X0,X1),sz00) )
    | ~ spl21_80
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f737]) ).

fof(f8781,plain,
    ( spl21_490
    | ~ spl21_79
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1047,f964,f732,f8779]) ).

fof(f8779,plain,
    ( spl21_490
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtasdt0(sz10,sK20(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_490])]) ).

fof(f1047,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtasdt0(sz10,sK20(X0,X1)) )
    | ~ spl21_79
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f733]) ).

fof(f8777,plain,
    ( spl21_489
    | ~ spl21_78
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1046,f964,f728,f8775]) ).

fof(f8775,plain,
    ( spl21_489
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtasdt0(sK20(X0,X1),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_489])]) ).

fof(f1046,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK20(X0,X1) = sdtasdt0(sK20(X0,X1),sz10) )
    | ~ spl21_78
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f729]) ).

fof(f8773,plain,
    ( spl21_488
    | ~ spl21_81
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1040,f960,f740,f8771]) ).

fof(f8771,plain,
    ( spl21_488
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtpldt0(sz00,sK19(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_488])]) ).

fof(f1040,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtpldt0(sz00,sK19(X0,X1)) )
    | ~ spl21_81
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f741]) ).

fof(f8769,plain,
    ( spl21_487
    | ~ spl21_80
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1039,f960,f736,f8767]) ).

fof(f8767,plain,
    ( spl21_487
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtpldt0(sK19(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_487])]) ).

fof(f1039,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtpldt0(sK19(X0,X1),sz00) )
    | ~ spl21_80
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f737]) ).

fof(f8736,plain,
    ( spl21_486
    | ~ spl21_79
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1038,f960,f732,f8734]) ).

fof(f8734,plain,
    ( spl21_486
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtasdt0(sz10,sK19(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_486])]) ).

fof(f1038,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtasdt0(sz10,sK19(X0,X1)) )
    | ~ spl21_79
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f733]) ).

fof(f8732,plain,
    ( spl21_485
    | ~ spl21_78
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1037,f960,f728,f8730]) ).

fof(f8730,plain,
    ( spl21_485
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtasdt0(sK19(X0,X1),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_485])]) ).

fof(f1037,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK19(X0,X1) = sdtasdt0(sK19(X0,X1),sz10) )
    | ~ spl21_78
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f729]) ).

fof(f8728,plain,
    ( spl21_484
    | ~ spl21_75
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1031,f956,f716,f8726]) ).

fof(f8726,plain,
    ( spl21_484
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK16(X1,X2)) = sdtasdt0(sK16(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_484])]) ).

fof(f1031,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK16(X1,X2)) = sdtasdt0(sK16(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X1,X2) )
    | ~ spl21_75
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f717]) ).

fof(f8724,plain,
    ( spl21_483
    | ~ spl21_73
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1029,f956,f707,f8722]) ).

fof(f8722,plain,
    ( spl21_483
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK14(X1,X2)) = sdtasdt0(sK14(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_483])]) ).

fof(f1029,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK14(X1,X2)) = sdtasdt0(sK14(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X1,X2) )
    | ~ spl21_73
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f708]) ).

fof(f8720,plain,
    ( spl21_482
    | ~ spl21_72
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1028,f956,f703,f8718]) ).

fof(f8718,plain,
    ( spl21_482
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK13(X1,X2)) = sdtasdt0(sK13(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_482])]) ).

fof(f1028,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sK13(X1,X2)) = sdtasdt0(sK13(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X1,X2) )
    | ~ spl21_72
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f704]) ).

fof(f8716,plain,
    ( spl21_481
    | ~ spl21_75
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1009,f952,f716,f8714]) ).

fof(f8714,plain,
    ( spl21_481
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK16(X1,X2)) = sdtpldt0(sK16(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_481])]) ).

fof(f1009,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK16(X1,X2)) = sdtpldt0(sK16(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP0(X1,X2) )
    | ~ spl21_75
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f717]) ).

fof(f8712,plain,
    ( spl21_480
    | ~ spl21_73
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1007,f952,f707,f8710]) ).

fof(f8710,plain,
    ( spl21_480
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK14(X1,X2)) = sdtpldt0(sK14(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_480])]) ).

fof(f1007,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK14(X1,X2)) = sdtpldt0(sK14(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP2(X1,X2) )
    | ~ spl21_73
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f708]) ).

fof(f8708,plain,
    ( spl21_479
    | ~ spl21_72
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1006,f952,f703,f8706]) ).

fof(f8706,plain,
    ( spl21_479
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK13(X1,X2)) = sdtpldt0(sK13(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_479])]) ).

fof(f1006,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sK13(X1,X2)) = sdtpldt0(sK13(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP3(X1,X2) )
    | ~ spl21_72
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f704]) ).

fof(f8688,plain,
    ( spl21_478
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_477 ),
    inference(avatar_split_clause,[],[f8653,f8650,f4175,f407,f8686]) ).

fof(f8650,plain,
    ( spl21_477
  <=> ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_477])]) ).

fof(f8653,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_477 ),
    inference(forward_demodulation,[],[f8651,f4728]) ).

fof(f8651,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) )
    | ~ spl21_477 ),
    inference(avatar_component_clause,[],[f8650]) ).

fof(f8652,plain,
    ( ~ spl21_2
    | ~ spl21_247
    | spl21_477
    | ~ spl21_45
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1304,f1288,f577,f8650,f3930,f347]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ doDivides0(X0,xr)
        | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_45
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f579]) ).

fof(f8632,plain,
    ( spl21_476
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_475 ),
    inference(avatar_split_clause,[],[f8628,f8625,f4175,f407,f8630]) ).

fof(f8625,plain,
    ( spl21_475
  <=> ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_475])]) ).

fof(f8628,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(sK11,xr))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) )
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_475 ),
    inference(forward_demodulation,[],[f8626,f4728]) ).

fof(f8626,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) )
    | ~ spl21_475 ),
    inference(avatar_component_clause,[],[f8625]) ).

fof(f8627,plain,
    ( ~ spl21_7
    | ~ spl21_247
    | spl21_475
    | ~ spl21_44
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1302,f1288,f572,f8625,f3930,f372]) ).

fof(f1302,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xr,sK11))
        | ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_44
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f574]) ).

fof(f8613,plain,
    ( spl21_474
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_473 ),
    inference(avatar_split_clause,[],[f8608,f8604,f4175,f407,f8610]) ).

fof(f8604,plain,
    ( spl21_473
  <=> sdtlseqdt0(xr,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_473])]) ).

fof(f8608,plain,
    ( sdtlseqdt0(xr,sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_473 ),
    inference(forward_demodulation,[],[f8606,f4728]) ).

fof(f8606,plain,
    ( sdtlseqdt0(xr,sdtasdt0(xr,sK11))
    | ~ spl21_473 ),
    inference(avatar_component_clause,[],[f8604]) ).

fof(f8607,plain,
    ( ~ spl21_2
    | ~ spl21_247
    | spl21_473
    | spl21_415
    | ~ spl21_45
    | ~ spl21_114 ),
    inference(avatar_split_clause,[],[f1164,f1126,f577,f6899,f8604,f3930,f347]) ).

fof(f1164,plain,
    ( sz00 = sdtasdt0(xr,sK11)
    | sdtlseqdt0(xr,sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xr)
    | ~ spl21_45
    | ~ spl21_114 ),
    inference(resolution,[],[f1127,f579]) ).

fof(f8602,plain,
    ( ~ spl21_7
    | ~ spl21_247
    | spl21_328
    | spl21_415
    | ~ spl21_44
    | ~ spl21_114 ),
    inference(avatar_split_clause,[],[f1162,f1126,f572,f6899,f5759,f3930,f372]) ).

fof(f5759,plain,
    ( spl21_328
  <=> sdtlseqdt0(xp,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_328])]) ).

fof(f1162,plain,
    ( sz00 = sdtasdt0(xr,sK11)
    | sdtlseqdt0(xp,sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xp)
    | ~ spl21_44
    | ~ spl21_114 ),
    inference(resolution,[],[f1127,f574]) ).

fof(f8490,plain,
    ( spl21_472
    | ~ spl21_154
    | ~ spl21_286 ),
    inference(avatar_split_clause,[],[f5055,f4985,f1760,f8487]) ).

fof(f5055,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_286 ),
    inference(resolution,[],[f4986,f1761]) ).

fof(f8117,plain,
    ( spl21_471
    | ~ spl21_117
    | ~ spl21_140 ),
    inference(avatar_split_clause,[],[f1613,f1598,f1138,f8115]) ).

fof(f8115,plain,
    ( spl21_471
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_471])]) ).

fof(f1613,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_117
    | ~ spl21_140 ),
    inference(duplicate_literal_removal,[],[f1601]) ).

fof(f1601,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl21_117
    | ~ spl21_140 ),
    inference(resolution,[],[f1599,f1139]) ).

fof(f8113,plain,
    ( spl21_470
    | ~ spl21_16
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1406,f1362,f417,f8111]) ).

fof(f1406,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_16
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f419]) ).

fof(f8109,plain,
    ( spl21_469
    | ~ spl21_15
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1405,f1362,f412,f8107]) ).

fof(f1405,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f414]) ).

fof(f8105,plain,
    ( spl21_468
    | ~ spl21_16
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1380,f1358,f417,f8103]) ).

fof(f1380,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_16
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f419]) ).

fof(f8101,plain,
    ( spl21_467
    | ~ spl21_15
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1379,f1358,f412,f8099]) ).

fof(f1379,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f414]) ).

fof(f8097,plain,
    ( spl21_466
    | ~ spl21_89
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1322,f1294,f908,f8095]) ).

fof(f8095,plain,
    ( spl21_466
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_466])]) ).

fof(f908,plain,
    ( spl21_89
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_89])]) ).

fof(f1322,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2) )
    | ~ spl21_89
    | ~ spl21_126 ),
    inference(duplicate_literal_removal,[],[f1312]) ).

fof(f1312,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl21_89
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f909]) ).

fof(f909,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_89 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f8065,plain,
    ( spl21_465
    | ~ spl21_107
    | ~ spl21_114 ),
    inference(avatar_split_clause,[],[f1168,f1126,f1079,f8063]) ).

fof(f8063,plain,
    ( spl21_465
  <=> ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK18(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_465])]) ).

fof(f1168,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK18(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0 )
    | ~ spl21_107
    | ~ spl21_114 ),
    inference(duplicate_literal_removal,[],[f1167]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK18(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_107
    | ~ spl21_114 ),
    inference(resolution,[],[f1127,f1080]) ).

fof(f8061,plain,
    ( spl21_464
    | ~ spl21_54
    | ~ spl21_112 ),
    inference(avatar_split_clause,[],[f1146,f1118,f617,f8059]) ).

fof(f8059,plain,
    ( spl21_464
  <=> ! [X0] :
        ( sz10 = sK15(X0)
        | sK15(X0) = X0
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP4(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_464])]) ).

fof(f1146,plain,
    ( ! [X0] :
        ( sz10 = sK15(X0)
        | sK15(X0) = X0
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP4(X0)
        | ~ sP1(X0) )
    | ~ spl21_54
    | ~ spl21_112 ),
    inference(resolution,[],[f1119,f618]) ).

fof(f8057,plain,
    ( spl21_463
    | ~ spl21_81
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f989,f944,f740,f8055]) ).

fof(f989,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtpldt0(sz00,sK18(X0)) )
    | ~ spl21_81
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f741]) ).

fof(f8053,plain,
    ( spl21_462
    | ~ spl21_80
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f988,f944,f736,f8051]) ).

fof(f988,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtpldt0(sK18(X0),sz00) )
    | ~ spl21_80
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f737]) ).

fof(f8049,plain,
    ( spl21_461
    | ~ spl21_79
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f987,f944,f732,f8047]) ).

fof(f987,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtasdt0(sz10,sK18(X0)) )
    | ~ spl21_79
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f733]) ).

fof(f8045,plain,
    ( spl21_460
    | ~ spl21_78
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f986,f944,f728,f8043]) ).

fof(f986,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sK18(X0) = sdtasdt0(sK18(X0),sz10) )
    | ~ spl21_78
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f729]) ).

fof(f8041,plain,
    ( spl21_459
    | ~ spl21_81
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f982,f940,f740,f8039]) ).

fof(f8039,plain,
    ( spl21_459
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtpldt0(sz00,sK17(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_459])]) ).

fof(f982,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtpldt0(sz00,sK17(X0)) )
    | ~ spl21_81
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f741]) ).

fof(f8037,plain,
    ( spl21_458
    | ~ spl21_80
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f981,f940,f736,f8035]) ).

fof(f8035,plain,
    ( spl21_458
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtpldt0(sK17(X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_458])]) ).

fof(f981,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtpldt0(sK17(X0),sz00) )
    | ~ spl21_80
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f737]) ).

fof(f8033,plain,
    ( spl21_457
    | ~ spl21_79
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f980,f940,f732,f8031]) ).

fof(f8031,plain,
    ( spl21_457
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtasdt0(sz10,sK17(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_457])]) ).

fof(f980,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtasdt0(sz10,sK17(X0)) )
    | ~ spl21_79
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f733]) ).

fof(f8029,plain,
    ( spl21_456
    | ~ spl21_78
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f979,f940,f728,f8027]) ).

fof(f8027,plain,
    ( spl21_456
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtasdt0(sK17(X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_456])]) ).

fof(f979,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sK17(X0) = sdtasdt0(sK17(X0),sz10) )
    | ~ spl21_78
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f729]) ).

fof(f8025,plain,
    ( spl21_455
    | ~ spl21_154
    | ~ spl21_276 ),
    inference(avatar_split_clause,[],[f4931,f4209,f1760,f8022]) ).

fof(f8022,plain,
    ( spl21_455
  <=> sdtasdt0(sdtpldt0(xn,xm),sK12) = sdtasdt0(sK12,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_455])]) ).

fof(f7626,plain,
    ( spl21_454
    | ~ spl21_154
    | ~ spl21_275 ),
    inference(avatar_split_clause,[],[f4900,f4205,f1760,f7623]) ).

fof(f7623,plain,
    ( spl21_454
  <=> sdtasdt0(sdtpldt0(xn,xm),sK11) = sdtasdt0(sK11,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_454])]) ).

fof(f7225,plain,
    ( spl21_453
    | ~ spl21_154
    | ~ spl21_274 ),
    inference(avatar_split_clause,[],[f4869,f4201,f1760,f7222]) ).

fof(f4869,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK10) = sdtasdt0(sK10,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_274 ),
    inference(resolution,[],[f4202,f1761]) ).

fof(f7077,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_325
    | spl21_451
    | ~ spl21_452
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_124
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f5769,f4175,f1284,f670,f407,f7074,f7070,f5673,f367,f362]) ).

fof(f7074,plain,
    ( spl21_452
  <=> sz00 = sdtasdt0(sK11,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_452])]) ).

fof(f1284,plain,
    ( spl21_124
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 = X0
        | sz00 != sdtasdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_124])]) ).

fof(f5769,plain,
    ( sz00 != sdtasdt0(sK11,xr)
    | sz00 = xn
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_14
    | ~ spl21_65
    | ~ spl21_124
    | ~ spl21_269 ),
    inference(forward_demodulation,[],[f1298,f4728]) ).

fof(f1298,plain,
    ( sz00 != sdtasdt0(xr,sK11)
    | sz00 = xn
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_65
    | ~ spl21_124 ),
    inference(superposition,[],[f1285,f672]) ).

fof(f1285,plain,
    ( ! [X0,X1] :
        ( sz00 != sdtasdt0(X0,X1)
        | sz00 = X0
        | sz00 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_124 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f7065,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_450
    | ~ spl21_41
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1452,f1372,f556,f7063,f402,f347]) ).

fof(f7063,plain,
    ( spl21_450
  <=> ! [X0] :
        ( ~ doDivides0(X0,xk)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr)
        | doDivides0(X0,sK12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_450])]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xk)
        | doDivides0(X0,sK12)
        | ~ doDivides0(X0,xr)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_41
    | ~ spl21_132 ),
    inference(superposition,[],[f1373,f558]) ).

fof(f7057,plain,
    ( spl21_449
    | ~ spl21_154
    | ~ spl21_273 ),
    inference(avatar_split_clause,[],[f4838,f4191,f1760,f7054]) ).

fof(f4838,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK9) = sdtasdt0(sK9,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_273 ),
    inference(resolution,[],[f4192,f1761]) ).

fof(f7052,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_448
    | ~ spl21_39
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1451,f1372,f545,f7050,f387,f342]) ).

fof(f7050,plain,
    ( spl21_448
  <=> ! [X0] :
        ( ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xk)
        | doDivides0(X0,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_448])]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xp)
        | doDivides0(X0,sK9)
        | ~ doDivides0(X0,xk)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_39
    | ~ spl21_132 ),
    inference(superposition,[],[f1373,f547]) ).

fof(f7045,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_447
    | ~ spl21_38
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1450,f1372,f540,f7043,f382,f367]) ).

fof(f7043,plain,
    ( spl21_447
  <=> ! [X0] :
        ( ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xm)
        | doDivides0(X0,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_447])]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xp)
        | doDivides0(X0,sK7)
        | ~ doDivides0(X0,xm)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_38
    | ~ spl21_132 ),
    inference(superposition,[],[f1373,f542]) ).

fof(f7038,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_446
    | ~ spl21_37
    | ~ spl21_132 ),
    inference(avatar_split_clause,[],[f1449,f1372,f535,f7036,f377,f362]) ).

fof(f7036,plain,
    ( spl21_446
  <=> ! [X0] :
        ( ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn)
        | doDivides0(X0,sK8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_446])]) ).

fof(f1449,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xp)
        | doDivides0(X0,sK8)
        | ~ doDivides0(X0,xn)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_37
    | ~ spl21_132 ),
    inference(superposition,[],[f1373,f537]) ).

fof(f7031,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_445
    | ~ spl21_39
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1438,f1368,f545,f7029,f387,f342]) ).

fof(f7029,plain,
    ( spl21_445
  <=> ! [X0] :
        ( doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xk)
        | ~ doDivides0(X0,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_445])]) ).

fof(f1438,plain,
    ( ! [X0] :
        ( doDivides0(X0,xp)
        | ~ doDivides0(X0,sK9)
        | ~ doDivides0(X0,xk)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_39
    | ~ spl21_131 ),
    inference(superposition,[],[f1369,f547]) ).

fof(f7024,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_444
    | ~ spl21_38
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1437,f1368,f540,f7022,f382,f367]) ).

fof(f7022,plain,
    ( spl21_444
  <=> ! [X0] :
        ( doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xm)
        | ~ doDivides0(X0,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_444])]) ).

fof(f1437,plain,
    ( ! [X0] :
        ( doDivides0(X0,xp)
        | ~ doDivides0(X0,sK7)
        | ~ doDivides0(X0,xm)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_38
    | ~ spl21_131 ),
    inference(superposition,[],[f1369,f542]) ).

fof(f7017,plain,
    ( spl21_443
    | ~ spl21_154
    | ~ spl21_272 ),
    inference(avatar_split_clause,[],[f4807,f4187,f1760,f7014]) ).

fof(f4807,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK8) = sdtasdt0(sK8,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_272 ),
    inference(resolution,[],[f4188,f1761]) ).

fof(f7012,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_442
    | ~ spl21_37
    | ~ spl21_131 ),
    inference(avatar_split_clause,[],[f1436,f1368,f535,f7010,f377,f362]) ).

fof(f7010,plain,
    ( spl21_442
  <=> ! [X0] :
        ( doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xn)
        | ~ doDivides0(X0,sK8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_442])]) ).

fof(f1436,plain,
    ( ! [X0] :
        ( doDivides0(X0,xp)
        | ~ doDivides0(X0,sK8)
        | ~ doDivides0(X0,xn)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_37
    | ~ spl21_131 ),
    inference(superposition,[],[f1369,f537]) ).

fof(f7008,plain,
    ( spl21_441
    | ~ spl21_13
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1422,f1362,f402,f7006]) ).

fof(f1422,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK12) = sdtpldt0(X0,sdtpldt0(X1,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_13
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f404]) ).

fof(f7004,plain,
    ( spl21_440
    | ~ spl21_14
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1421,f1362,f407,f7002]) ).

fof(f1421,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK11) = sdtpldt0(X0,sdtpldt0(X1,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f409]) ).

fof(f7000,plain,
    ( spl21_439
    | ~ spl21_12
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1420,f1362,f397,f6998]) ).

fof(f1420,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK10) = sdtpldt0(X0,sdtpldt0(X1,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_12
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f399]) ).

fof(f6996,plain,
    ( spl21_438
    | ~ spl21_10
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1419,f1362,f387,f6994]) ).

fof(f1419,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK9) = sdtpldt0(X0,sdtpldt0(X1,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_10
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f389]) ).

fof(f6992,plain,
    ( spl21_437
    | ~ spl21_8
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1418,f1362,f377,f6990]) ).

fof(f1418,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK8) = sdtpldt0(X0,sdtpldt0(X1,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_8
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f379]) ).

fof(f6988,plain,
    ( spl21_436
    | ~ spl21_9
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1417,f1362,f382,f6986]) ).

fof(f1417,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK7) = sdtpldt0(X0,sdtpldt0(X1,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_9
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f384]) ).

fof(f6984,plain,
    ( spl21_435
    | ~ spl21_3
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1416,f1362,f352,f6982]) ).

fof(f1416,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK6) = sdtpldt0(X0,sdtpldt0(X1,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f354]) ).

fof(f6980,plain,
    ( spl21_434
    | ~ spl21_2
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1415,f1362,f347,f6978]) ).

fof(f1415,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_2
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f349]) ).

fof(f6976,plain,
    ( spl21_433
    | ~ spl21_1
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1414,f1362,f342,f6974]) ).

fof(f1414,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xk) = sdtpldt0(X0,sdtpldt0(X1,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f344]) ).

fof(f6972,plain,
    ( spl21_432
    | ~ spl21_154
    | ~ spl21_271 ),
    inference(avatar_split_clause,[],[f4776,f4183,f1760,f6969]) ).

fof(f4776,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK7) = sdtasdt0(sK7,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_271 ),
    inference(resolution,[],[f4184,f1761]) ).

fof(f6967,plain,
    ( spl21_431
    | ~ spl21_7
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1413,f1362,f372,f6965]) ).

fof(f1413,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f374]) ).

fof(f6963,plain,
    ( spl21_430
    | ~ spl21_6
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1412,f1362,f367,f6961]) ).

fof(f1412,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_6
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f369]) ).

fof(f6959,plain,
    ( spl21_429
    | ~ spl21_5
    | ~ spl21_130 ),
    inference(avatar_split_clause,[],[f1411,f1362,f362,f6957]) ).

fof(f1411,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_5
    | ~ spl21_130 ),
    inference(resolution,[],[f1363,f364]) ).

fof(f6955,plain,
    ( spl21_428
    | ~ spl21_13
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1396,f1358,f402,f6953]) ).

fof(f1396,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK12) = sdtasdt0(X0,sdtasdt0(X1,sK12))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_13
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f404]) ).

fof(f6951,plain,
    ( spl21_427
    | ~ spl21_14
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1395,f1358,f407,f6949]) ).

fof(f1395,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK11) = sdtasdt0(X0,sdtasdt0(X1,sK11))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f409]) ).

fof(f6947,plain,
    ( spl21_426
    | ~ spl21_12
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1394,f1358,f397,f6945]) ).

fof(f1394,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK10) = sdtasdt0(X0,sdtasdt0(X1,sK10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_12
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f399]) ).

fof(f6943,plain,
    ( spl21_425
    | ~ spl21_10
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1393,f1358,f387,f6941]) ).

fof(f1393,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK9) = sdtasdt0(X0,sdtasdt0(X1,sK9))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_10
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f389]) ).

fof(f6939,plain,
    ( spl21_424
    | ~ spl21_8
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1392,f1358,f377,f6937]) ).

fof(f1392,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK8) = sdtasdt0(X0,sdtasdt0(X1,sK8))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_8
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f379]) ).

fof(f6935,plain,
    ( spl21_423
    | ~ spl21_9
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1391,f1358,f382,f6933]) ).

fof(f1391,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK7) = sdtasdt0(X0,sdtasdt0(X1,sK7))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_9
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f384]) ).

fof(f6931,plain,
    ( spl21_422
    | ~ spl21_3
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1390,f1358,f352,f6929]) ).

fof(f1390,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK6) = sdtasdt0(X0,sdtasdt0(X1,sK6))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f354]) ).

fof(f6927,plain,
    ( spl21_421
    | ~ spl21_154
    | ~ spl21_270 ),
    inference(avatar_split_clause,[],[f4744,f4179,f1760,f6924]) ).

fof(f4744,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),sK6) = sdtasdt0(sK6,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_270 ),
    inference(resolution,[],[f4180,f1761]) ).

fof(f6922,plain,
    ( spl21_420
    | ~ spl21_2
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1389,f1358,f347,f6920]) ).

fof(f1389,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_2
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f349]) ).

fof(f6918,plain,
    ( spl21_419
    | ~ spl21_1
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1388,f1358,f342,f6916]) ).

fof(f1388,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xk) = sdtasdt0(X0,sdtasdt0(X1,xk))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f344]) ).

fof(f6914,plain,
    ( spl21_418
    | ~ spl21_7
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1387,f1358,f372,f6912]) ).

fof(f1387,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f374]) ).

fof(f6910,plain,
    ( spl21_417
    | ~ spl21_6
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1386,f1358,f367,f6908]) ).

fof(f1386,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_6
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f369]) ).

fof(f6906,plain,
    ( spl21_416
    | ~ spl21_5
    | ~ spl21_129 ),
    inference(avatar_split_clause,[],[f1385,f1358,f362,f6904]) ).

fof(f1385,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_5
    | ~ spl21_129 ),
    inference(resolution,[],[f1359,f364]) ).

fof(f6902,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | spl21_26
    | spl21_30
    | ~ spl21_415
    | ~ spl21_68
    | ~ spl21_124 ),
    inference(avatar_split_clause,[],[f1299,f1284,f683,f6899,f487,f467,f342,f372]) ).

fof(f1299,plain,
    ( sz00 != sdtasdt0(xr,sK11)
    | sz00 = xp
    | sz00 = xk
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_68
    | ~ spl21_124 ),
    inference(superposition,[],[f1285,f685]) ).

fof(f6832,plain,
    ( spl21_414
    | ~ spl21_154
    | ~ spl21_269 ),
    inference(avatar_split_clause,[],[f4713,f4175,f1760,f6829]) ).

fof(f4713,plain,
    ( sdtasdt0(xr,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xr)
    | ~ spl21_154
    | ~ spl21_269 ),
    inference(resolution,[],[f4176,f1761]) ).

fof(f6596,plain,
    ( spl21_413
    | ~ spl21_154
    | ~ spl21_268 ),
    inference(avatar_split_clause,[],[f4683,f4171,f1760,f6593]) ).

fof(f4683,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xk) = sdtasdt0(xk,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_268 ),
    inference(resolution,[],[f4172,f1761]) ).

fof(f6586,plain,
    ( spl21_412
    | ~ spl21_35
    | ~ spl21_121 ),
    inference(avatar_split_clause,[],[f1257,f1213,f512,f6584]) ).

fof(f6584,plain,
    ( spl21_412
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sdtsldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_412])]) ).

fof(f1257,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sdtsldt0(X1,X0)) )
    | ~ spl21_35
    | ~ spl21_121 ),
    inference(resolution,[],[f1214,f513]) ).

fof(f6582,plain,
    ( spl21_411
    | ~ spl21_89
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1254,f1209,f908,f6580]) ).

fof(f1254,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) )
    | ~ spl21_89
    | ~ spl21_120 ),
    inference(duplicate_literal_removal,[],[f1244]) ).

fof(f1244,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_89
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f909]) ).

fof(f6578,plain,
    ( spl21_410
    | ~ spl21_89
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1239,f1205,f908,f6576]) ).

fof(f1239,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK20(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) )
    | ~ spl21_89
    | ~ spl21_119 ),
    inference(duplicate_literal_removal,[],[f1229]) ).

fof(f1229,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK20(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_89
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f909]) ).

fof(f6574,plain,
    ( spl21_409
    | ~ spl21_54
    | ~ spl21_114 ),
    inference(avatar_split_clause,[],[f1165,f1126,f617,f6572]) ).

fof(f6572,plain,
    ( spl21_409
  <=> ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK15(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_409])]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK15(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_54
    | ~ spl21_114 ),
    inference(resolution,[],[f1127,f618]) ).

fof(f6570,plain,
    ( spl21_408
    | ~ spl21_77
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1054,f973,f724,f6568]) ).

fof(f1054,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl21_77
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f725]) ).

fof(f6566,plain,
    ( spl21_407
    | ~ spl21_76
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1053,f973,f720,f6564]) ).

fof(f1053,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl21_76
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f721]) ).

fof(f6562,plain,
    ( spl21_406
    | ~ spl21_77
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1045,f964,f724,f6560]) ).

fof(f1045,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK20(X0,X1)) )
    | ~ spl21_77
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f725]) ).

fof(f6558,plain,
    ( spl21_405
    | ~ spl21_76
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1044,f964,f720,f6556]) ).

fof(f1044,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK20(X0,X1),sz00) )
    | ~ spl21_76
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f721]) ).

fof(f6554,plain,
    ( spl21_404
    | ~ spl21_77
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1036,f960,f724,f6552]) ).

fof(f6552,plain,
    ( spl21_404
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK19(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_404])]) ).

fof(f1036,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK19(X0,X1)) )
    | ~ spl21_77
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f725]) ).

fof(f6519,plain,
    ( spl21_403
    | ~ spl21_76
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1035,f960,f720,f6517]) ).

fof(f6517,plain,
    ( spl21_403
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK19(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_403])]) ).

fof(f1035,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK19(X0,X1),sz00) )
    | ~ spl21_76
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f721]) ).

fof(f6515,plain,
    ( spl21_402
    | ~ spl21_77
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f985,f944,f724,f6513]) ).

fof(f985,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK18(X0)) )
    | ~ spl21_77
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f725]) ).

fof(f6511,plain,
    ( spl21_401
    | ~ spl21_76
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f984,f944,f720,f6509]) ).

fof(f984,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK18(X0),sz00) )
    | ~ spl21_76
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f721]) ).

fof(f6507,plain,
    ( spl21_400
    | ~ spl21_77
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f978,f940,f724,f6505]) ).

fof(f6505,plain,
    ( spl21_400
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sz00 = sdtasdt0(sz00,sK17(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_400])]) ).

fof(f978,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sz00 = sdtasdt0(sz00,sK17(X0)) )
    | ~ spl21_77
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f725]) ).

fof(f6503,plain,
    ( spl21_399
    | ~ spl21_76
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f977,f940,f720,f6501]) ).

fof(f6501,plain,
    ( spl21_399
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sz00 = sdtasdt0(sK17(X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_399])]) ).

fof(f977,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sz00 = sdtasdt0(sK17(X0),sz00) )
    | ~ spl21_76
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f721]) ).

fof(f6497,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_398
    | ~ spl21_13
    | ~ spl21_277
    | ~ spl21_41
    | ~ spl21_140 ),
    inference(avatar_split_clause,[],[f1610,f1598,f556,f4213,f402,f6494,f342,f347]) ).

fof(f6494,plain,
    ( spl21_398
  <=> sK12 = sdtmndt0(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_398])]) ).

fof(f1610,plain,
    ( ~ sdtlseqdt0(xr,xk)
    | ~ aNaturalNumber0(sK12)
    | sK12 = sdtmndt0(xk,xr)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_41
    | ~ spl21_140 ),
    inference(superposition,[],[f1599,f558]) ).

fof(f6489,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_397
    | ~ spl21_10
    | ~ spl21_29
    | ~ spl21_39
    | ~ spl21_140 ),
    inference(avatar_split_clause,[],[f1609,f1598,f545,f482,f387,f6486,f372,f342]) ).

fof(f6486,plain,
    ( spl21_397
  <=> sK9 = sdtmndt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_397])]) ).

fof(f1609,plain,
    ( ~ sdtlseqdt0(xk,xp)
    | ~ aNaturalNumber0(sK9)
    | sK9 = sdtmndt0(xp,xk)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_39
    | ~ spl21_140 ),
    inference(superposition,[],[f1599,f547]) ).

fof(f6481,plain,
    ( spl21_396
    | ~ spl21_154
    | ~ spl21_267 ),
    inference(avatar_split_clause,[],[f4648,f4167,f1760,f6478]) ).

fof(f4648,plain,
    ( sdtasdt0(xp,sdtpldt0(xn,xm)) = sdtasdt0(sdtpldt0(xn,xm),xp)
    | ~ spl21_154
    | ~ spl21_267 ),
    inference(resolution,[],[f4168,f1761]) ).

fof(f6476,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_395
    | ~ spl21_9
    | ~ spl21_25
    | ~ spl21_38
    | ~ spl21_140 ),
    inference(avatar_split_clause,[],[f1608,f1598,f540,f462,f382,f6473,f372,f367]) ).

fof(f6473,plain,
    ( spl21_395
  <=> sK7 = sdtmndt0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_395])]) ).

fof(f1608,plain,
    ( ~ sdtlseqdt0(xm,xp)
    | ~ aNaturalNumber0(sK7)
    | sK7 = sdtmndt0(xp,xm)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_38
    | ~ spl21_140 ),
    inference(superposition,[],[f1599,f542]) ).

fof(f6468,plain,
    ( ~ spl21_5
    | ~ spl21_7
    | spl21_394
    | ~ spl21_8
    | ~ spl21_23
    | ~ spl21_37
    | ~ spl21_140 ),
    inference(avatar_split_clause,[],[f1607,f1598,f535,f452,f377,f6465,f372,f362]) ).

fof(f6465,plain,
    ( spl21_394
  <=> sK8 = sdtmndt0(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_394])]) ).

fof(f1607,plain,
    ( ~ sdtlseqdt0(xn,xp)
    | ~ aNaturalNumber0(sK8)
    | sK8 = sdtmndt0(xp,xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_37
    | ~ spl21_140 ),
    inference(superposition,[],[f1599,f537]) ).

fof(f6440,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_20
    | spl21_393
    | ~ spl21_19
    | ~ spl21_133 ),
    inference(avatar_split_clause,[],[f1457,f1376,f432,f6437,f437,f342,f347]) ).

fof(f1457,plain,
    ( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
    | sz00 = xr
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_133 ),
    inference(resolution,[],[f1377,f434]) ).

fof(f6433,plain,
    ( ~ spl21_13
    | ~ spl21_2
    | spl21_392
    | ~ spl21_41
    | ~ spl21_128 ),
    inference(avatar_split_clause,[],[f1349,f1330,f556,f6431,f347,f402]) ).

fof(f6431,plain,
    ( spl21_392
  <=> ! [X0] :
        ( xk != sdtpldt0(X0,sK12)
        | ~ aNaturalNumber0(X0)
        | xr = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_392])]) ).

fof(f1349,plain,
    ( ! [X0] :
        ( xk != sdtpldt0(X0,sK12)
        | xr = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(sK12) )
    | ~ spl21_41
    | ~ spl21_128 ),
    inference(superposition,[],[f1331,f558]) ).

fof(f6427,plain,
    ( ~ spl21_10
    | ~ spl21_1
    | spl21_391
    | ~ spl21_39
    | ~ spl21_128 ),
    inference(avatar_split_clause,[],[f1348,f1330,f545,f6425,f342,f387]) ).

fof(f6425,plain,
    ( spl21_391
  <=> ! [X0] :
        ( xp != sdtpldt0(X0,sK9)
        | ~ aNaturalNumber0(X0)
        | xk = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_391])]) ).

fof(f1348,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(X0,sK9)
        | xk = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(sK9) )
    | ~ spl21_39
    | ~ spl21_128 ),
    inference(superposition,[],[f1331,f547]) ).

fof(f6421,plain,
    ( spl21_390
    | ~ spl21_154
    | ~ spl21_266 ),
    inference(avatar_split_clause,[],[f4617,f4163,f1760,f6418]) ).

fof(f4617,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_266 ),
    inference(resolution,[],[f4164,f1761]) ).

fof(f6416,plain,
    ( ~ spl21_9
    | ~ spl21_6
    | spl21_389
    | ~ spl21_38
    | ~ spl21_128 ),
    inference(avatar_split_clause,[],[f1347,f1330,f540,f6414,f367,f382]) ).

fof(f6414,plain,
    ( spl21_389
  <=> ! [X0] :
        ( xp != sdtpldt0(X0,sK7)
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_389])]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(X0,sK7)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sK7) )
    | ~ spl21_38
    | ~ spl21_128 ),
    inference(superposition,[],[f1331,f542]) ).

fof(f6410,plain,
    ( ~ spl21_8
    | ~ spl21_5
    | spl21_388
    | ~ spl21_37
    | ~ spl21_128 ),
    inference(avatar_split_clause,[],[f1346,f1330,f535,f6408,f362,f377]) ).

fof(f6408,plain,
    ( spl21_388
  <=> ! [X0] :
        ( xp != sdtpldt0(X0,sK8)
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_388])]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(X0,sK8)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sK8) )
    | ~ spl21_37
    | ~ spl21_128 ),
    inference(superposition,[],[f1331,f537]) ).

fof(f6404,plain,
    ( ~ spl21_2
    | ~ spl21_13
    | spl21_387
    | ~ spl21_41
    | ~ spl21_127 ),
    inference(avatar_split_clause,[],[f1337,f1326,f556,f6402,f402,f347]) ).

fof(f6402,plain,
    ( spl21_387
  <=> ! [X0] :
        ( xk != sdtpldt0(xr,X0)
        | ~ aNaturalNumber0(X0)
        | sK12 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_387])]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( xk != sdtpldt0(xr,X0)
        | sK12 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK12)
        | ~ aNaturalNumber0(xr) )
    | ~ spl21_41
    | ~ spl21_127 ),
    inference(superposition,[],[f1327,f558]) ).

fof(f6394,plain,
    ( ~ spl21_1
    | ~ spl21_10
    | spl21_386
    | ~ spl21_39
    | ~ spl21_127 ),
    inference(avatar_split_clause,[],[f1336,f1326,f545,f6392,f387,f342]) ).

fof(f6392,plain,
    ( spl21_386
  <=> ! [X0] :
        ( xp != sdtpldt0(xk,X0)
        | ~ aNaturalNumber0(X0)
        | sK9 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_386])]) ).

fof(f1336,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(xk,X0)
        | sK9 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK9)
        | ~ aNaturalNumber0(xk) )
    | ~ spl21_39
    | ~ spl21_127 ),
    inference(superposition,[],[f1327,f547]) ).

fof(f6384,plain,
    ( ~ spl21_6
    | ~ spl21_9
    | spl21_385
    | ~ spl21_38
    | ~ spl21_127 ),
    inference(avatar_split_clause,[],[f1335,f1326,f540,f6382,f382,f367]) ).

fof(f6382,plain,
    ( spl21_385
  <=> ! [X0] :
        ( xp != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sK7 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_385])]) ).

fof(f1335,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(xm,X0)
        | sK7 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK7)
        | ~ aNaturalNumber0(xm) )
    | ~ spl21_38
    | ~ spl21_127 ),
    inference(superposition,[],[f1327,f542]) ).

fof(f6374,plain,
    ( ~ spl21_5
    | ~ spl21_8
    | spl21_384
    | ~ spl21_37
    | ~ spl21_127 ),
    inference(avatar_split_clause,[],[f1334,f1326,f535,f6372,f377,f362]) ).

fof(f6372,plain,
    ( spl21_384
  <=> ! [X0] :
        ( xp != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sK8 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_384])]) ).

fof(f1334,plain,
    ( ! [X0] :
        ( xp != sdtpldt0(xn,X0)
        | sK8 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK8)
        | ~ aNaturalNumber0(xn) )
    | ~ spl21_37
    | ~ spl21_127 ),
    inference(superposition,[],[f1327,f537]) ).

fof(f6370,plain,
    ( ~ spl21_376
    | ~ spl21_2
    | spl21_383
    | spl21_21
    | ~ spl21_45
    | ~ spl21_112 ),
    inference(avatar_split_clause,[],[f1145,f1118,f577,f442,f6367,f347,f6290]) ).

fof(f6290,plain,
    ( spl21_376
  <=> sP4(sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_376])]) ).

fof(f6367,plain,
    ( spl21_383
  <=> xr = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_383])]) ).

fof(f1145,plain,
    ( sz10 = xr
    | xr = sdtasdt0(xr,sK11)
    | ~ aNaturalNumber0(xr)
    | ~ sP4(sdtasdt0(xr,sK11))
    | ~ spl21_45
    | ~ spl21_112 ),
    inference(resolution,[],[f1119,f579]) ).

fof(f6362,plain,
    ( spl21_382
    | ~ spl21_146
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f6309,f5262,f1684,f6360]) ).

fof(f1684,plain,
    ( spl21_146
  <=> ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xr))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_146])]) ).

fof(f6309,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xr,sdtpldt0(xn,xm)))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_146
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f1685,f5264]) ).

fof(f1685,plain,
    ( ! [X2,X0,X1] :
        ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xr))
        | sP3(X1,X2)
        | sP2(X0,X2)
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_146 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f6343,plain,
    ( spl21_381
    | ~ spl21_49
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f6329,f5262,f596,f6340]) ).

fof(f6329,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_49
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f598,f5264]) ).

fof(f6334,plain,
    ( spl21_380
    | ~ spl21_50
    | ~ spl21_281
    | ~ spl21_299 ),
    inference(avatar_split_clause,[],[f6311,f5262,f4964,f600,f6331]) ).

fof(f6311,plain,
    ( sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | ~ spl21_50
    | ~ spl21_281
    | ~ spl21_299 ),
    inference(forward_demodulation,[],[f6310,f5264]) ).

fof(f6310,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(xp,sdtpldt0(xn,xm)))
    | ~ spl21_50
    | ~ spl21_281 ),
    inference(forward_demodulation,[],[f601,f4966]) ).

fof(f6308,plain,
    ( spl21_379
    | ~ spl21_7
    | ~ spl21_2
    | spl21_152
    | spl21_153
    | ~ spl21_372 ),
    inference(avatar_split_clause,[],[f6273,f6004,f1756,f1752,f347,f372,f6305]) ).

fof(f6305,plain,
    ( spl21_379
  <=> iLess0(xp,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_379])]) ).

fof(f6004,plain,
    ( spl21_372
  <=> ! [X0,X1] :
        ( iLess0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_372])]) ).

fof(f6273,plain,
    ( xp = xr
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xp)
    | iLess0(xp,xr)
    | spl21_153
    | ~ spl21_372 ),
    inference(resolution,[],[f6005,f1758]) ).

fof(f6005,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | iLess0(X0,X1) )
    | ~ spl21_372 ),
    inference(avatar_component_clause,[],[f6004]) ).

fof(f6303,plain,
    ( ~ spl21_378
    | ~ spl21_14
    | ~ spl21_269
    | spl21_376 ),
    inference(avatar_split_clause,[],[f6298,f6290,f4175,f407,f6300]) ).

fof(f6300,plain,
    ( spl21_378
  <=> sP4(sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_378])]) ).

fof(f6298,plain,
    ( ~ sP4(sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | spl21_376 ),
    inference(forward_demodulation,[],[f6292,f4728]) ).

fof(f6292,plain,
    ( ~ sP4(sdtasdt0(xr,sK11))
    | spl21_376 ),
    inference(avatar_component_clause,[],[f6290]) ).

fof(f6297,plain,
    ( ~ spl21_376
    | ~ spl21_7
    | spl21_377
    | spl21_31
    | ~ spl21_44
    | ~ spl21_112 ),
    inference(avatar_split_clause,[],[f1143,f1118,f572,f492,f6294,f372,f6290]) ).

fof(f6294,plain,
    ( spl21_377
  <=> xp = sdtasdt0(xr,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_377])]) ).

fof(f1143,plain,
    ( sz10 = xp
    | xp = sdtasdt0(xr,sK11)
    | ~ aNaturalNumber0(xp)
    | ~ sP4(sdtasdt0(xr,sK11))
    | ~ spl21_44
    | ~ spl21_112 ),
    inference(resolution,[],[f1119,f574]) ).

fof(f6143,plain,
    ( spl21_375
    | ~ spl21_154
    | ~ spl21_265 ),
    inference(avatar_split_clause,[],[f4586,f4159,f1760,f6140]) ).

fof(f4586,plain,
    ( sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_265 ),
    inference(resolution,[],[f4160,f1761]) ).

fof(f6014,plain,
    ( ~ spl21_16
    | spl21_374
    | ~ spl21_93
    | ~ spl21_115 ),
    inference(avatar_split_clause,[],[f1181,f1130,f936,f6012,f417]) ).

fof(f1181,plain,
    ( ! [X0] :
        ( sz10 = X0
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl21_93
    | ~ spl21_115 ),
    inference(duplicate_literal_removal,[],[f1171]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( sz10 = X0
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93
    | ~ spl21_115 ),
    inference(resolution,[],[f1131,f937]) ).

fof(f6010,plain,
    ( ~ spl21_16
    | spl21_373
    | ~ spl21_93
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1160,f1122,f936,f6008,f417]) ).

fof(f1160,plain,
    ( ! [X0] :
        ( iLess0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = X0 )
    | ~ spl21_93
    | ~ spl21_113 ),
    inference(duplicate_literal_removal,[],[f1150]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( iLess0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_93
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f937]) ).

fof(f6006,plain,
    ( spl21_372
    | ~ spl21_89
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1159,f1122,f908,f6004]) ).

fof(f1159,plain,
    ( ! [X0,X1] :
        ( iLess0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) )
    | ~ spl21_89
    | ~ spl21_113 ),
    inference(duplicate_literal_removal,[],[f1151]) ).

fof(f1151,plain,
    ( ! [X0,X1] :
        ( iLess0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_89
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f909]) ).

fof(f6002,plain,
    ( spl21_371
    | ~ spl21_46
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1030,f956,f582,f6000]) ).

fof(f1030,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sK15(X1)) = sdtasdt0(sK15(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) )
    | ~ spl21_46
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f583]) ).

fof(f5998,plain,
    ( spl21_370
    | ~ spl21_154
    | ~ spl21_264 ),
    inference(avatar_split_clause,[],[f4556,f4155,f1760,f5995]) ).

fof(f4556,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK12) = sdtpldt0(sK12,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_264 ),
    inference(resolution,[],[f4156,f1761]) ).

fof(f5993,plain,
    ( spl21_369
    | ~ spl21_46
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1008,f952,f582,f5991]) ).

fof(f1008,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK15(X1)) = sdtpldt0(sK15(X1),X0)
        | ~ aNaturalNumber0(X0)
        | ~ sP1(X1) )
    | ~ spl21_46
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f583]) ).

fof(f5989,plain,
    ( spl21_368
    | ~ spl21_81
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f885,f864,f740,f5987]) ).

fof(f885,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl21_81
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f741]) ).

fof(f5985,plain,
    ( spl21_367
    | ~ spl21_80
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f884,f864,f736,f5983]) ).

fof(f884,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl21_80
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f737]) ).

fof(f5981,plain,
    ( spl21_366
    | ~ spl21_79
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f883,f864,f732,f5979]) ).

fof(f883,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl21_79
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f733]) ).

fof(f5977,plain,
    ( spl21_365
    | ~ spl21_78
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f882,f864,f728,f5975]) ).

fof(f882,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl21_78
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f729]) ).

fof(f5973,plain,
    ( spl21_364
    | ~ spl21_81
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f873,f860,f740,f5971]) ).

fof(f873,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl21_81
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f741]) ).

fof(f5969,plain,
    ( spl21_363
    | ~ spl21_80
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f872,f860,f736,f5967]) ).

fof(f872,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl21_80
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f737]) ).

fof(f5965,plain,
    ( spl21_362
    | ~ spl21_79
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f871,f860,f732,f5963]) ).

fof(f871,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl21_79
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f733]) ).

fof(f5961,plain,
    ( spl21_361
    | ~ spl21_78
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f870,f860,f728,f5959]) ).

fof(f870,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl21_78
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f729]) ).

fof(f5951,plain,
    ( spl21_360
    | ~ spl21_154
    | ~ spl21_262 ),
    inference(avatar_split_clause,[],[f4527,f4146,f1760,f5948]) ).

fof(f4527,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK11) = sdtpldt0(sK11,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_262 ),
    inference(resolution,[],[f4147,f1761]) ).

fof(f5946,plain,
    ( spl21_359
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_358 ),
    inference(avatar_split_clause,[],[f5941,f5937,f4175,f407,f5943]) ).

fof(f5943,plain,
    ( spl21_359
  <=> doDivides0(xn,sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_359])]) ).

fof(f5937,plain,
    ( spl21_358
  <=> doDivides0(xn,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_358])]) ).

fof(f5941,plain,
    ( doDivides0(xn,sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_358 ),
    inference(forward_demodulation,[],[f5939,f4728]) ).

fof(f5939,plain,
    ( doDivides0(xn,sdtasdt0(xr,sK11))
    | ~ spl21_358 ),
    inference(avatar_component_clause,[],[f5937]) ).

fof(f5940,plain,
    ( ~ spl21_5
    | ~ spl21_247
    | ~ spl21_6
    | spl21_358
    | ~ spl21_65
    | ~ spl21_116 ),
    inference(avatar_split_clause,[],[f1186,f1134,f670,f5937,f367,f3930,f362]) ).

fof(f1186,plain,
    ( doDivides0(xn,sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xn)
    | ~ spl21_65
    | ~ spl21_116 ),
    inference(superposition,[],[f1135,f672]) ).

fof(f5934,plain,
    ( ~ spl21_354
    | ~ spl21_355
    | spl21_356
    | spl21_357
    | ~ spl21_54
    | ~ spl21_91 ),
    inference(avatar_split_clause,[],[f934,f925,f617,f5931,f5927,f5923,f5919]) ).

fof(f5919,plain,
    ( spl21_354
  <=> sP1(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_354])]) ).

fof(f5923,plain,
    ( spl21_355
  <=> aNaturalNumber0(sK15(xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_355])]) ).

fof(f5927,plain,
    ( spl21_356
  <=> xp = sK15(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_356])]) ).

fof(f5931,plain,
    ( spl21_357
  <=> sz10 = sK15(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_357])]) ).

fof(f934,plain,
    ( sz10 = sK15(xp)
    | xp = sK15(xp)
    | ~ aNaturalNumber0(sK15(xp))
    | ~ sP1(xp)
    | ~ spl21_54
    | ~ spl21_91 ),
    inference(resolution,[],[f926,f618]) ).

fof(f5916,plain,
    ( ~ spl21_350
    | ~ spl21_351
    | spl21_352
    | spl21_353
    | ~ spl21_54
    | ~ spl21_90 ),
    inference(avatar_split_clause,[],[f933,f921,f617,f5913,f5909,f5905,f5901]) ).

fof(f5901,plain,
    ( spl21_350
  <=> sP1(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_350])]) ).

fof(f5905,plain,
    ( spl21_351
  <=> aNaturalNumber0(sK15(xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_351])]) ).

fof(f5909,plain,
    ( spl21_352
  <=> xr = sK15(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_352])]) ).

fof(f5913,plain,
    ( spl21_353
  <=> sz10 = sK15(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_353])]) ).

fof(f933,plain,
    ( sz10 = sK15(xr)
    | xr = sK15(xr)
    | ~ aNaturalNumber0(sK15(xr))
    | ~ sP1(xr)
    | ~ spl21_54
    | ~ spl21_90 ),
    inference(resolution,[],[f922,f618]) ).

fof(f5896,plain,
    ( spl21_349
    | ~ spl21_154
    | ~ spl21_261 ),
    inference(avatar_split_clause,[],[f4498,f4142,f1760,f5893]) ).

fof(f4498,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK10) = sdtpldt0(sK10,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_261 ),
    inference(resolution,[],[f4143,f1761]) ).

fof(f5890,plain,
    ( spl21_348
    | ~ spl21_75
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f858,f740,f716,f5888]) ).

fof(f5888,plain,
    ( spl21_348
  <=> ! [X0,X1] :
        ( sK16(X0,X1) = sdtpldt0(sz00,sK16(X0,X1))
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_348])]) ).

fof(f858,plain,
    ( ! [X0,X1] :
        ( sK16(X0,X1) = sdtpldt0(sz00,sK16(X0,X1))
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f717]) ).

fof(f5886,plain,
    ( spl21_347
    | ~ spl21_73
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f856,f740,f707,f5884]) ).

fof(f5884,plain,
    ( spl21_347
  <=> ! [X0,X1] :
        ( sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1))
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_347])]) ).

fof(f856,plain,
    ( ! [X0,X1] :
        ( sK14(X0,X1) = sdtpldt0(sz00,sK14(X0,X1))
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f708]) ).

fof(f5882,plain,
    ( spl21_346
    | ~ spl21_72
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f855,f740,f703,f5880]) ).

fof(f5880,plain,
    ( spl21_346
  <=> ! [X0,X1] :
        ( sK13(X0,X1) = sdtpldt0(sz00,sK13(X0,X1))
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_346])]) ).

fof(f855,plain,
    ( ! [X0,X1] :
        ( sK13(X0,X1) = sdtpldt0(sz00,sK13(X0,X1))
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f704]) ).

fof(f5878,plain,
    ( spl21_345
    | ~ spl21_75
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f840,f736,f716,f5876]) ).

fof(f5876,plain,
    ( spl21_345
  <=> ! [X0,X1] :
        ( sK16(X0,X1) = sdtpldt0(sK16(X0,X1),sz00)
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_345])]) ).

fof(f840,plain,
    ( ! [X0,X1] :
        ( sK16(X0,X1) = sdtpldt0(sK16(X0,X1),sz00)
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f717]) ).

fof(f5874,plain,
    ( spl21_344
    | ~ spl21_73
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f838,f736,f707,f5872]) ).

fof(f5872,plain,
    ( spl21_344
  <=> ! [X0,X1] :
        ( sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00)
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_344])]) ).

fof(f838,plain,
    ( ! [X0,X1] :
        ( sK14(X0,X1) = sdtpldt0(sK14(X0,X1),sz00)
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f708]) ).

fof(f5870,plain,
    ( spl21_343
    | ~ spl21_72
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f837,f736,f703,f5868]) ).

fof(f5868,plain,
    ( spl21_343
  <=> ! [X0,X1] :
        ( sK13(X0,X1) = sdtpldt0(sK13(X0,X1),sz00)
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_343])]) ).

fof(f837,plain,
    ( ! [X0,X1] :
        ( sK13(X0,X1) = sdtpldt0(sK13(X0,X1),sz00)
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f704]) ).

fof(f5866,plain,
    ( spl21_342
    | ~ spl21_75
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f822,f732,f716,f5864]) ).

fof(f5864,plain,
    ( spl21_342
  <=> ! [X0,X1] :
        ( sK16(X0,X1) = sdtasdt0(sz10,sK16(X0,X1))
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_342])]) ).

fof(f822,plain,
    ( ! [X0,X1] :
        ( sK16(X0,X1) = sdtasdt0(sz10,sK16(X0,X1))
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f717]) ).

fof(f5862,plain,
    ( spl21_341
    | ~ spl21_154
    | ~ spl21_260 ),
    inference(avatar_split_clause,[],[f4468,f4138,f1760,f5859]) ).

fof(f4468,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK9) = sdtpldt0(sK9,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_260 ),
    inference(resolution,[],[f4139,f1761]) ).

fof(f5857,plain,
    ( spl21_340
    | ~ spl21_73
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f820,f732,f707,f5855]) ).

fof(f5855,plain,
    ( spl21_340
  <=> ! [X0,X1] :
        ( sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1))
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_340])]) ).

fof(f820,plain,
    ( ! [X0,X1] :
        ( sK14(X0,X1) = sdtasdt0(sz10,sK14(X0,X1))
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f708]) ).

fof(f5853,plain,
    ( spl21_339
    | ~ spl21_72
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f819,f732,f703,f5851]) ).

fof(f5851,plain,
    ( spl21_339
  <=> ! [X0,X1] :
        ( sK13(X0,X1) = sdtasdt0(sz10,sK13(X0,X1))
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_339])]) ).

fof(f819,plain,
    ( ! [X0,X1] :
        ( sK13(X0,X1) = sdtasdt0(sz10,sK13(X0,X1))
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f704]) ).

fof(f5849,plain,
    ( spl21_338
    | ~ spl21_75
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f804,f728,f716,f5847]) ).

fof(f5847,plain,
    ( spl21_338
  <=> ! [X0,X1] :
        ( sK16(X0,X1) = sdtasdt0(sK16(X0,X1),sz10)
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_338])]) ).

fof(f804,plain,
    ( ! [X0,X1] :
        ( sK16(X0,X1) = sdtasdt0(sK16(X0,X1),sz10)
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f717]) ).

fof(f5845,plain,
    ( spl21_337
    | ~ spl21_73
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f802,f728,f707,f5843]) ).

fof(f5843,plain,
    ( spl21_337
  <=> ! [X0,X1] :
        ( sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10)
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_337])]) ).

fof(f802,plain,
    ( ! [X0,X1] :
        ( sK14(X0,X1) = sdtasdt0(sK14(X0,X1),sz10)
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f708]) ).

fof(f5841,plain,
    ( spl21_336
    | ~ spl21_72
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f801,f728,f703,f5839]) ).

fof(f5839,plain,
    ( spl21_336
  <=> ! [X0,X1] :
        ( sK13(X0,X1) = sdtasdt0(sK13(X0,X1),sz10)
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_336])]) ).

fof(f801,plain,
    ( ! [X0,X1] :
        ( sK13(X0,X1) = sdtasdt0(sK13(X0,X1),sz10)
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f704]) ).

fof(f5829,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_335
    | ~ spl21_29
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1318,f1294,f482,f5827,f372,f342]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ sdtlseqdt0(X0,xk)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_29
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f484]) ).

fof(f5818,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_334
    | ~ spl21_25
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1317,f1294,f462,f5816,f372,f367]) ).

fof(f5816,plain,
    ( spl21_334
  <=> ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_334])]) ).

fof(f1317,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_25
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f464]) ).

fof(f5807,plain,
    ( ~ spl21_5
    | ~ spl21_7
    | spl21_333
    | ~ spl21_23
    | ~ spl21_126 ),
    inference(avatar_split_clause,[],[f1316,f1294,f452,f5805,f372,f362]) ).

fof(f5805,plain,
    ( spl21_333
  <=> ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_333])]) ).

fof(f1316,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,xp)
        | ~ sdtlseqdt0(X0,xn)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_23
    | ~ spl21_126 ),
    inference(resolution,[],[f1295,f454]) ).

fof(f5800,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_332
    | ~ spl21_19
    | ~ spl21_125 ),
    inference(avatar_split_clause,[],[f1303,f1288,f432,f5798,f342,f347]) ).

fof(f5798,plain,
    ( spl21_332
  <=> ! [X0] :
        ( doDivides0(X0,xk)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_332])]) ).

fof(f1303,plain,
    ( ! [X0] :
        ( doDivides0(X0,xk)
        | ~ doDivides0(X0,xr)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_19
    | ~ spl21_125 ),
    inference(resolution,[],[f1289,f434]) ).

fof(f5796,plain,
    ( ~ spl21_12
    | ~ spl21_7
    | spl21_331
    | spl21_328
    | ~ spl21_71
    | ~ spl21_108 ),
    inference(avatar_split_clause,[],[f1106,f1083,f698,f5759,f5793,f372,f397]) ).

fof(f1106,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xr,sK11))
    | sz00 = sK10
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK10)
    | ~ spl21_71
    | ~ spl21_108 ),
    inference(superposition,[],[f1084,f700]) ).

fof(f5781,plain,
    ( spl21_327
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_326 ),
    inference(avatar_split_clause,[],[f5775,f5677,f4175,f407,f5752]) ).

fof(f5752,plain,
    ( spl21_327
  <=> sdtlseqdt0(xn,sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_327])]) ).

fof(f5677,plain,
    ( spl21_326
  <=> sdtlseqdt0(xn,sdtasdt0(xr,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_326])]) ).

fof(f5775,plain,
    ( sdtlseqdt0(xn,sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_326 ),
    inference(forward_demodulation,[],[f5679,f4728]) ).

fof(f5679,plain,
    ( sdtlseqdt0(xn,sdtasdt0(xr,sK11))
    | ~ spl21_326 ),
    inference(avatar_component_clause,[],[f5677]) ).

fof(f5780,plain,
    ( spl21_330
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_328 ),
    inference(avatar_split_clause,[],[f5763,f5759,f4175,f407,f5777]) ).

fof(f5777,plain,
    ( spl21_330
  <=> sdtlseqdt0(xp,sdtasdt0(sK11,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_330])]) ).

fof(f5763,plain,
    ( sdtlseqdt0(xp,sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | ~ spl21_328 ),
    inference(forward_demodulation,[],[f5761,f4728]) ).

fof(f5761,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xr,sK11))
    | ~ spl21_328 ),
    inference(avatar_component_clause,[],[f5759]) ).

fof(f5768,plain,
    ( spl21_329
    | ~ spl21_206
    | ~ spl21_263
    | ~ spl21_325 ),
    inference(avatar_split_clause,[],[f5750,f5673,f4150,f2039,f5765]) ).

fof(f5750,plain,
    ( doDivides0(xn,xm)
    | ~ spl21_206
    | ~ spl21_263
    | ~ spl21_325 ),
    inference(forward_demodulation,[],[f5747,f5715]) ).

fof(f5747,plain,
    ( doDivides0(sdtpldt0(xn,xm),xm)
    | ~ spl21_263
    | ~ spl21_325 ),
    inference(superposition,[],[f4152,f5675]) ).

fof(f5762,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_26
    | spl21_328
    | ~ spl21_68
    | ~ spl21_108 ),
    inference(avatar_split_clause,[],[f1105,f1083,f683,f5759,f467,f372,f342]) ).

fof(f1105,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xr,sK11))
    | sz00 = xk
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_68
    | ~ spl21_108 ),
    inference(superposition,[],[f1084,f685]) ).

fof(f5755,plain,
    ( ~ spl21_327
    | ~ spl21_14
    | ~ spl21_269
    | spl21_326 ),
    inference(avatar_split_clause,[],[f5681,f5677,f4175,f407,f5752]) ).

fof(f5681,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(sK11,xr))
    | ~ spl21_14
    | ~ spl21_269
    | spl21_326 ),
    inference(forward_demodulation,[],[f5678,f4728]) ).

fof(f5678,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xr,sK11))
    | spl21_326 ),
    inference(avatar_component_clause,[],[f5677]) ).

fof(f5680,plain,
    ( ~ spl21_6
    | ~ spl21_5
    | spl21_325
    | spl21_326
    | ~ spl21_65
    | ~ spl21_108 ),
    inference(avatar_split_clause,[],[f1104,f1083,f670,f5677,f5673,f362,f367]) ).

fof(f1104,plain,
    ( sdtlseqdt0(xn,sdtasdt0(xr,sK11))
    | sz00 = xm
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_65
    | ~ spl21_108 ),
    inference(superposition,[],[f1084,f672]) ).

fof(f5661,plain,
    ( spl21_324
    | ~ spl21_154
    | ~ spl21_259 ),
    inference(avatar_split_clause,[],[f4438,f4134,f1760,f5658]) ).

fof(f4438,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_259 ),
    inference(resolution,[],[f4135,f1761]) ).

fof(f5540,plain,
    ( spl21_323
    | ~ spl21_35
    | ~ spl21_102 ),
    inference(avatar_split_clause,[],[f1052,f973,f512,f5538]) ).

fof(f5538,plain,
    ( spl21_323
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_323])]) ).

fof(f1052,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sdtmndt0(X1,X0)) )
    | ~ spl21_35
    | ~ spl21_102 ),
    inference(resolution,[],[f974,f513]) ).

fof(f5536,plain,
    ( spl21_322
    | ~ spl21_35
    | ~ spl21_100 ),
    inference(avatar_split_clause,[],[f1043,f964,f512,f5534]) ).

fof(f5534,plain,
    ( spl21_322
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sK20(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_322])]) ).

fof(f1043,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sK20(X0,X1)) )
    | ~ spl21_35
    | ~ spl21_100 ),
    inference(resolution,[],[f965,f513]) ).

fof(f5532,plain,
    ( spl21_321
    | ~ spl21_35
    | ~ spl21_99 ),
    inference(avatar_split_clause,[],[f1034,f960,f512,f5530]) ).

fof(f5530,plain,
    ( spl21_321
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sK19(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_321])]) ).

fof(f1034,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP5(sK19(X0,X1)) )
    | ~ spl21_35
    | ~ spl21_99 ),
    inference(resolution,[],[f961,f513]) ).

fof(f5528,plain,
    ( spl21_320
    | ~ spl21_35
    | ~ spl21_95 ),
    inference(avatar_split_clause,[],[f983,f944,f512,f5526]) ).

fof(f5526,plain,
    ( spl21_320
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sP5(sK18(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_320])]) ).

fof(f983,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sP5(sK18(X0)) )
    | ~ spl21_35
    | ~ spl21_95 ),
    inference(resolution,[],[f945,f513]) ).

fof(f5524,plain,
    ( spl21_319
    | ~ spl21_35
    | ~ spl21_94 ),
    inference(avatar_split_clause,[],[f976,f940,f512,f5522]) ).

fof(f5522,plain,
    ( spl21_319
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sP5(sK17(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_319])]) ).

fof(f976,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sz10 = X0
        | sz00 = X0
        | sP5(sK17(X0)) )
    | ~ spl21_35
    | ~ spl21_94 ),
    inference(resolution,[],[f941,f513]) ).

fof(f5520,plain,
    ( spl21_318
    | ~ spl21_154
    | ~ spl21_258 ),
    inference(avatar_split_clause,[],[f4408,f4130,f1760,f5517]) ).

fof(f4408,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK7) = sdtpldt0(sK7,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_258 ),
    inference(resolution,[],[f4131,f1761]) ).

fof(f5515,plain,
    ( spl21_317
    | ~ spl21_53
    | ~ spl21_88 ),
    inference(avatar_split_clause,[],[f911,f904,f613,f5513]) ).

fof(f613,plain,
    ( spl21_53
  <=> ! [X0] :
        ( sP0(X0,sK15(X0))
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).

fof(f904,plain,
    ( spl21_88
  <=> ! [X0,X1] :
        ( sdtasdt0(X1,sK16(X0,X1)) = X0
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_88])]) ).

fof(f911,plain,
    ( ! [X0] :
        ( sdtasdt0(sK15(X0),sK16(X0,sK15(X0))) = X0
        | ~ sP1(X0) )
    | ~ spl21_53
    | ~ spl21_88 ),
    inference(resolution,[],[f905,f614]) ).

fof(f614,plain,
    ( ! [X0] :
        ( sP0(X0,sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_53 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f905,plain,
    ( ! [X0,X1] :
        ( ~ sP0(X0,X1)
        | sdtasdt0(X1,sK16(X0,X1)) = X0 )
    | ~ spl21_88 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f5511,plain,
    ( spl21_316
    | ~ spl21_77
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f881,f864,f724,f5509]) ).

fof(f881,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl21_77
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f725]) ).

fof(f5507,plain,
    ( spl21_315
    | ~ spl21_76
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f880,f864,f720,f5505]) ).

fof(f880,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl21_76
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f721]) ).

fof(f5503,plain,
    ( spl21_314
    | ~ spl21_77
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f869,f860,f724,f5501]) ).

fof(f869,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl21_77
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f725]) ).

fof(f5499,plain,
    ( spl21_313
    | ~ spl21_76
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f868,f860,f720,f5497]) ).

fof(f868,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl21_76
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f721]) ).

fof(f5476,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_312
    | ~ spl21_29
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1250,f1209,f482,f5473,f372,f342]) ).

fof(f5473,plain,
    ( spl21_312
  <=> xp = sdtpldt0(xk,sdtmndt0(xp,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_312])]) ).

fof(f1250,plain,
    ( xp = sdtpldt0(xk,sdtmndt0(xp,xk))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_29
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f484]) ).

fof(f5452,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_311
    | ~ spl21_25
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1249,f1209,f462,f5449,f372,f367]) ).

fof(f5449,plain,
    ( spl21_311
  <=> xp = sdtpldt0(xm,sdtmndt0(xp,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_311])]) ).

fof(f1249,plain,
    ( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_25
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f464]) ).

fof(f5428,plain,
    ( spl21_310
    | ~ spl21_154
    | ~ spl21_257 ),
    inference(avatar_split_clause,[],[f4379,f4126,f1760,f5425]) ).

fof(f4379,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK6) = sdtpldt0(sK6,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_257 ),
    inference(resolution,[],[f4127,f1761]) ).

fof(f5423,plain,
    ( ~ spl21_5
    | ~ spl21_7
    | spl21_309
    | ~ spl21_23
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1248,f1209,f452,f5420,f372,f362]) ).

fof(f5420,plain,
    ( spl21_309
  <=> xp = sdtpldt0(xn,sdtmndt0(xp,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_309])]) ).

fof(f1248,plain,
    ( xp = sdtpldt0(xn,sdtmndt0(xp,xn))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_23
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f454]) ).

fof(f5399,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_308
    | ~ spl21_29
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1235,f1205,f482,f5396,f372,f342]) ).

fof(f5396,plain,
    ( spl21_308
  <=> xp = sdtpldt0(xk,sK20(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_308])]) ).

fof(f1235,plain,
    ( xp = sdtpldt0(xk,sK20(xk,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_29
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f484]) ).

fof(f5375,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_307
    | ~ spl21_25
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1234,f1205,f462,f5372,f372,f367]) ).

fof(f5372,plain,
    ( spl21_307
  <=> xp = sdtpldt0(xm,sK20(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_307])]) ).

fof(f1234,plain,
    ( xp = sdtpldt0(xm,sK20(xm,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_25
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f464]) ).

fof(f5351,plain,
    ( ~ spl21_5
    | ~ spl21_7
    | spl21_306
    | ~ spl21_23
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1233,f1205,f452,f5348,f372,f362]) ).

fof(f5348,plain,
    ( spl21_306
  <=> xp = sdtpldt0(xn,sK20(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_306])]) ).

fof(f1233,plain,
    ( xp = sdtpldt0(xn,sK20(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_23
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f454]) ).

fof(f5323,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | spl21_305
    | ~ spl21_19
    | ~ spl21_118 ),
    inference(avatar_split_clause,[],[f1220,f1201,f432,f5320,f342,f347]) ).

fof(f5320,plain,
    ( spl21_305
  <=> xk = sdtasdt0(xr,sK19(xr,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_305])]) ).

fof(f1220,plain,
    ( xk = sdtasdt0(xr,sK19(xr,xk))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_19
    | ~ spl21_118 ),
    inference(resolution,[],[f1202,f434]) ).

fof(f5285,plain,
    ( spl21_304
    | ~ spl21_75
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f786,f724,f716,f5283]) ).

fof(f5283,plain,
    ( spl21_304
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK16(X0,X1))
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_304])]) ).

fof(f786,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK16(X0,X1))
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f717]) ).

fof(f5281,plain,
    ( spl21_303
    | ~ spl21_73
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f784,f724,f707,f5279]) ).

fof(f5279,plain,
    ( spl21_303
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK14(X0,X1))
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_303])]) ).

fof(f784,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK14(X0,X1))
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f708]) ).

fof(f5277,plain,
    ( spl21_302
    | ~ spl21_72
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f783,f724,f703,f5275]) ).

fof(f5275,plain,
    ( spl21_302
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK13(X0,X1))
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_302])]) ).

fof(f783,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sz00,sK13(X0,X1))
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f704]) ).

fof(f5273,plain,
    ( spl21_301
    | ~ spl21_75
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f768,f720,f716,f5271]) ).

fof(f5271,plain,
    ( spl21_301
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sK16(X0,X1),sz00)
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_301])]) ).

fof(f768,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sK16(X0,X1),sz00)
        | ~ sP0(X0,X1) )
    | ~ spl21_75
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f717]) ).

fof(f5269,plain,
    ( spl21_300
    | ~ spl21_73
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f766,f720,f707,f5267]) ).

fof(f5267,plain,
    ( spl21_300
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sK14(X0,X1),sz00)
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_300])]) ).

fof(f766,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sK14(X0,X1),sz00)
        | ~ sP2(X0,X1) )
    | ~ spl21_73
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f708]) ).

fof(f5265,plain,
    ( spl21_299
    | ~ spl21_154
    | ~ spl21_256 ),
    inference(avatar_split_clause,[],[f4344,f4122,f1760,f5262]) ).

fof(f4344,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xr,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_256 ),
    inference(resolution,[],[f4123,f1761]) ).

fof(f5260,plain,
    ( spl21_298
    | ~ spl21_72
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f765,f720,f703,f5258]) ).

fof(f5258,plain,
    ( spl21_298
  <=> ! [X0,X1] :
        ( sz00 = sdtasdt0(sK13(X0,X1),sz00)
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_298])]) ).

fof(f765,plain,
    ( ! [X0,X1] :
        ( sz00 = sdtasdt0(sK13(X0,X1),sz00)
        | ~ sP3(X0,X1) )
    | ~ spl21_72
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f704]) ).

fof(f5254,plain,
    ( ~ spl21_7
    | ~ spl21_1
    | ~ spl21_297
    | spl21_28
    | ~ spl21_29
    | ~ spl21_115 ),
    inference(avatar_split_clause,[],[f1177,f1130,f482,f477,f5251,f342,f372]) ).

fof(f477,plain,
    ( spl21_28
  <=> xp = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).

fof(f1177,plain,
    ( xp = xk
    | ~ sdtlseqdt0(xp,xk)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xp)
    | ~ spl21_29
    | ~ spl21_115 ),
    inference(resolution,[],[f1131,f484]) ).

fof(f5249,plain,
    ( ~ spl21_1
    | ~ spl21_7
    | spl21_28
    | spl21_296
    | ~ spl21_29
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1156,f1122,f482,f5246,f477,f372,f342]) ).

fof(f1156,plain,
    ( iLess0(xk,xp)
    | xp = xk
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl21_29
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f484]) ).

fof(f5244,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_24
    | spl21_295
    | ~ spl21_25
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1155,f1122,f462,f5241,f457,f372,f367]) ).

fof(f457,plain,
    ( spl21_24
  <=> xm = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).

fof(f1155,plain,
    ( iLess0(xm,xp)
    | xm = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl21_25
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f464]) ).

fof(f5239,plain,
    ( ~ spl21_5
    | ~ spl21_7
    | spl21_22
    | spl21_294
    | ~ spl21_23
    | ~ spl21_113 ),
    inference(avatar_split_clause,[],[f1154,f1122,f452,f5236,f447,f372,f362]) ).

fof(f1154,plain,
    ( iLess0(xn,xp)
    | xn = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_23
    | ~ spl21_113 ),
    inference(resolution,[],[f1123,f454]) ).

fof(f5234,plain,
    ( ~ spl21_292
    | ~ spl21_2
    | spl21_293
    | spl21_21
    | ~ spl21_19
    | ~ spl21_112 ),
    inference(avatar_split_clause,[],[f1144,f1118,f432,f442,f5231,f347,f5227]) ).

fof(f1144,plain,
    ( sz10 = xr
    | xk = xr
    | ~ aNaturalNumber0(xr)
    | ~ sP4(xk)
    | ~ spl21_19
    | ~ spl21_112 ),
    inference(resolution,[],[f1119,f434]) ).

fof(f5008,plain,
    ( spl21_291
    | ~ spl21_154
    | ~ spl21_255 ),
    inference(avatar_split_clause,[],[f4314,f4118,f1760,f5005]) ).

fof(f4314,plain,
    ( sdtpldt0(xk,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xk)
    | ~ spl21_154
    | ~ spl21_255 ),
    inference(resolution,[],[f4119,f1761]) ).

fof(f5003,plain,
    ( spl21_290
    | ~ spl21_47
    | ~ spl21_120 ),
    inference(avatar_split_clause,[],[f1256,f1209,f586,f5001]) ).

fof(f1256,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_47
    | ~ spl21_120 ),
    inference(duplicate_literal_removal,[],[f1242]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_47
    | ~ spl21_120 ),
    inference(resolution,[],[f1210,f587]) ).

fof(f4999,plain,
    ( spl21_289
    | ~ spl21_47
    | ~ spl21_119 ),
    inference(avatar_split_clause,[],[f1241,f1205,f586,f4997]) ).

fof(f1241,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK20(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_47
    | ~ spl21_119 ),
    inference(duplicate_literal_removal,[],[f1227]) ).

fof(f1227,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK20(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_47
    | ~ spl21_119 ),
    inference(resolution,[],[f1206,f587]) ).

fof(f4995,plain,
    ( spl21_288
    | ~ spl21_16
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1013,f956,f417,f4993]) ).

fof(f4993,plain,
    ( spl21_288
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_288])]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_16
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f419]) ).

fof(f4991,plain,
    ( spl21_287
    | ~ spl21_15
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1012,f956,f412,f4989]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f414]) ).

fof(f4987,plain,
    ( spl21_286
    | ~ spl21_16
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f991,f952,f417,f4985]) ).

fof(f991,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_16
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f419]) ).

fof(f4983,plain,
    ( spl21_285
    | ~ spl21_15
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f990,f952,f412,f4981]) ).

fof(f990,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_15
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f414]) ).

fof(f4979,plain,
    ( spl21_284
    | ~ spl21_46
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f857,f740,f582,f4977]) ).

fof(f857,plain,
    ( ! [X0] :
        ( sK15(X0) = sdtpldt0(sz00,sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f583]) ).

fof(f4975,plain,
    ( spl21_283
    | ~ spl21_46
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f839,f736,f582,f4973]) ).

fof(f839,plain,
    ( ! [X0] :
        ( sK15(X0) = sdtpldt0(sK15(X0),sz00)
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f583]) ).

fof(f4971,plain,
    ( spl21_282
    | ~ spl21_46
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f821,f732,f582,f4969]) ).

fof(f821,plain,
    ( ! [X0] :
        ( sK15(X0) = sdtasdt0(sz10,sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f583]) ).

fof(f4967,plain,
    ( spl21_281
    | ~ spl21_154
    | ~ spl21_254 ),
    inference(avatar_split_clause,[],[f4285,f4114,f1760,f4964]) ).

fof(f4285,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm))
    | ~ spl21_154
    | ~ spl21_254 ),
    inference(resolution,[],[f4115,f1761]) ).

fof(f4962,plain,
    ( spl21_280
    | ~ spl21_46
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f803,f728,f582,f4960]) ).

fof(f803,plain,
    ( ! [X0] :
        ( sK15(X0) = sdtasdt0(sK15(X0),sz10)
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f583]) ).

fof(f4679,plain,
    ( spl21_279
    | ~ spl21_154
    | ~ spl21_253 ),
    inference(avatar_split_clause,[],[f4255,f4110,f1760,f4676]) ).

fof(f4255,plain,
    ( sdtpldt0(xm,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xm)
    | ~ spl21_154
    | ~ spl21_253 ),
    inference(resolution,[],[f4111,f1761]) ).

fof(f4375,plain,
    ( spl21_278
    | ~ spl21_154
    | ~ spl21_252 ),
    inference(avatar_split_clause,[],[f4225,f4086,f1760,f4372]) ).

fof(f4225,plain,
    ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(xn,xm),xn)
    | ~ spl21_154
    | ~ spl21_252 ),
    inference(resolution,[],[f4087,f1761]) ).

fof(f4216,plain,
    ( ~ spl21_2
    | ~ spl21_1
    | ~ spl21_13
    | spl21_277
    | ~ spl21_41
    | ~ spl21_117 ),
    inference(avatar_split_clause,[],[f1197,f1138,f556,f4213,f402,f342,f347]) ).

fof(f1197,plain,
    ( sdtlseqdt0(xr,xk)
    | ~ aNaturalNumber0(sK12)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl21_41
    | ~ spl21_117 ),
    inference(superposition,[],[f1139,f558]) ).

fof(f4211,plain,
    ( spl21_276
    | ~ spl21_13
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1027,f956,f402,f4209]) ).

fof(f1027,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK12) = sdtasdt0(sK12,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_13
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f404]) ).

fof(f4207,plain,
    ( spl21_275
    | ~ spl21_14
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1026,f956,f407,f4205]) ).

fof(f1026,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f409]) ).

fof(f4203,plain,
    ( spl21_274
    | ~ spl21_12
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1025,f956,f397,f4201]) ).

fof(f1025,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_12
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f399]) ).

fof(f4193,plain,
    ( spl21_273
    | ~ spl21_10
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1024,f956,f387,f4191]) ).

fof(f1024,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK9) = sdtasdt0(sK9,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_10
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f389]) ).

fof(f4189,plain,
    ( spl21_272
    | ~ spl21_8
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1023,f956,f377,f4187]) ).

fof(f1023,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK8) = sdtasdt0(sK8,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_8
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f379]) ).

fof(f4185,plain,
    ( spl21_271
    | ~ spl21_9
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1022,f956,f382,f4183]) ).

fof(f1022,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK7) = sdtasdt0(sK7,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_9
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f384]) ).

fof(f4181,plain,
    ( spl21_270
    | ~ spl21_3
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1021,f956,f352,f4179]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK6) = sdtasdt0(sK6,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f354]) ).

fof(f4177,plain,
    ( spl21_269
    | ~ spl21_2
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1020,f956,f347,f4175]) ).

fof(f1020,plain,
    ( ! [X0] :
        ( sdtasdt0(xr,X0) = sdtasdt0(X0,xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_2
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f349]) ).

fof(f4173,plain,
    ( spl21_268
    | ~ spl21_1
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1019,f956,f342,f4171]) ).

fof(f1019,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xk) = sdtasdt0(xk,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f344]) ).

fof(f4169,plain,
    ( spl21_267
    | ~ spl21_7
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1018,f956,f372,f4167]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(X0,xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f374]) ).

fof(f4165,plain,
    ( spl21_266
    | ~ spl21_6
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1017,f956,f367,f4163]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_6
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f369]) ).

fof(f4161,plain,
    ( spl21_265
    | ~ spl21_5
    | ~ spl21_98 ),
    inference(avatar_split_clause,[],[f1016,f956,f362,f4159]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_5
    | ~ spl21_98 ),
    inference(resolution,[],[f957,f364]) ).

fof(f4157,plain,
    ( spl21_264
    | ~ spl21_13
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1005,f952,f402,f4155]) ).

fof(f1005,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK12) = sdtpldt0(sK12,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_13
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f404]) ).

fof(f4153,plain,
    ( ~ spl21_154
    | ~ spl21_15
    | spl21_263
    | ~ spl21_116
    | ~ spl21_193 ),
    inference(avatar_split_clause,[],[f2101,f1974,f1134,f4150,f412,f1760]) ).

fof(f2101,plain,
    ( doDivides0(sdtpldt0(xn,xm),sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_116
    | ~ spl21_193 ),
    inference(duplicate_literal_removal,[],[f2085]) ).

fof(f2085,plain,
    ( doDivides0(sdtpldt0(xn,xm),sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl21_116
    | ~ spl21_193 ),
    inference(superposition,[],[f1135,f1976]) ).

fof(f4148,plain,
    ( spl21_262
    | ~ spl21_14
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1004,f952,f407,f4146]) ).

fof(f1004,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_14
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f409]) ).

fof(f4144,plain,
    ( spl21_261
    | ~ spl21_12
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1003,f952,f397,f4142]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_12
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f399]) ).

fof(f4140,plain,
    ( spl21_260
    | ~ spl21_10
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1002,f952,f387,f4138]) ).

fof(f1002,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK9) = sdtpldt0(sK9,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_10
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f389]) ).

fof(f4136,plain,
    ( spl21_259
    | ~ spl21_8
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1001,f952,f377,f4134]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK8) = sdtpldt0(sK8,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_8
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f379]) ).

fof(f4132,plain,
    ( spl21_258
    | ~ spl21_9
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f1000,f952,f382,f4130]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK7) = sdtpldt0(sK7,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_9
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f384]) ).

fof(f4128,plain,
    ( spl21_257
    | ~ spl21_3
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f999,f952,f352,f4126]) ).

fof(f999,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK6) = sdtpldt0(sK6,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_3
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f354]) ).

fof(f4124,plain,
    ( spl21_256
    | ~ spl21_2
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f998,f952,f347,f4122]) ).

fof(f998,plain,
    ( ! [X0] :
        ( sdtpldt0(xr,X0) = sdtpldt0(X0,xr)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_2
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f349]) ).

fof(f4120,plain,
    ( spl21_255
    | ~ spl21_1
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f997,f952,f342,f4118]) ).

fof(f997,plain,
    ( ! [X0] :
        ( sdtpldt0(xk,X0) = sdtpldt0(X0,xk)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_1
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f344]) ).

fof(f4116,plain,
    ( spl21_254
    | ~ spl21_7
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f996,f952,f372,f4114]) ).

fof(f996,plain,
    ( ! [X0] :
        ( sdtpldt0(xp,X0) = sdtpldt0(X0,xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_7
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f374]) ).

fof(f4112,plain,
    ( spl21_253
    | ~ spl21_6
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f995,f952,f367,f4110]) ).

fof(f995,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,X0) = sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_6
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f369]) ).

fof(f4088,plain,
    ( spl21_252
    | ~ spl21_5
    | ~ spl21_97 ),
    inference(avatar_split_clause,[],[f994,f952,f362,f4086]) ).

fof(f994,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl21_5
    | ~ spl21_97 ),
    inference(resolution,[],[f953,f364]) ).

fof(f3985,plain,
    ( spl21_251
    | ~ spl21_35
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f879,f864,f512,f3983]) ).

fof(f3983,plain,
    ( spl21_251
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP5(sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_251])]) ).

fof(f879,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP5(sdtasdt0(X1,X0)) )
    | ~ spl21_35
    | ~ spl21_84 ),
    inference(resolution,[],[f865,f513]) ).

fof(f3981,plain,
    ( spl21_250
    | ~ spl21_35
    | ~ spl21_83 ),
    inference(avatar_split_clause,[],[f867,f860,f512,f3979]) ).

fof(f3979,plain,
    ( spl21_250
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP5(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_250])]) ).

fof(f867,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP5(sdtpldt0(X1,X0)) )
    | ~ spl21_35
    | ~ spl21_83 ),
    inference(resolution,[],[f861,f513]) ).

fof(f3977,plain,
    ( spl21_249
    | ~ spl21_46
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f785,f724,f582,f3975]) ).

fof(f785,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(sz00,sK15(X0))
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f583]) ).

fof(f3973,plain,
    ( spl21_248
    | ~ spl21_46
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f767,f720,f582,f3971]) ).

fof(f767,plain,
    ( ! [X0] :
        ( sz00 = sdtasdt0(sK15(X0),sz00)
        | ~ sP1(X0) )
    | ~ spl21_46
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f583]) ).

fof(f3933,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | spl21_247
    | ~ spl21_65
    | ~ spl21_84 ),
    inference(avatar_split_clause,[],[f887,f864,f670,f3930,f367,f362]) ).

fof(f887,plain,
    ( aNaturalNumber0(sdtasdt0(xr,sK11))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_65
    | ~ spl21_84 ),
    inference(superposition,[],[f865,f672]) ).

fof(f3922,plain,
    ( spl21_246
    | ~ spl21_35
    | ~ spl21_75 ),
    inference(avatar_split_clause,[],[f745,f716,f512,f3920]) ).

fof(f3920,plain,
    ( spl21_246
  <=> ! [X0,X1] :
        ( ~ sP0(X0,X1)
        | sP5(sK16(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_246])]) ).

fof(f745,plain,
    ( ! [X0,X1] :
        ( ~ sP0(X0,X1)
        | sP5(sK16(X0,X1)) )
    | ~ spl21_35
    | ~ spl21_75 ),
    inference(resolution,[],[f717,f513]) ).

fof(f3918,plain,
    ( spl21_245
    | ~ spl21_35
    | ~ spl21_73 ),
    inference(avatar_split_clause,[],[f744,f707,f512,f3916]) ).

fof(f3916,plain,
    ( spl21_245
  <=> ! [X0,X1] :
        ( ~ sP2(X0,X1)
        | sP5(sK14(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_245])]) ).

fof(f744,plain,
    ( ! [X0,X1] :
        ( ~ sP2(X0,X1)
        | sP5(sK14(X0,X1)) )
    | ~ spl21_35
    | ~ spl21_73 ),
    inference(resolution,[],[f708,f513]) ).

fof(f3914,plain,
    ( spl21_244
    | ~ spl21_35
    | ~ spl21_72 ),
    inference(avatar_split_clause,[],[f743,f703,f512,f3912]) ).

fof(f3912,plain,
    ( spl21_244
  <=> ! [X0,X1] :
        ( ~ sP3(X0,X1)
        | sP5(sK13(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_244])]) ).

fof(f743,plain,
    ( ! [X0,X1] :
        ( ~ sP3(X0,X1)
        | sP5(sK13(X0,X1)) )
    | ~ spl21_35
    | ~ spl21_72 ),
    inference(resolution,[],[f704,f513]) ).

fof(f3716,plain,
    ( spl21_243
    | ~ spl21_16
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f842,f740,f417,f3713]) ).

fof(f3713,plain,
    ( spl21_243
  <=> sz10 = sdtpldt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_243])]) ).

fof(f842,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl21_16
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f419]) ).

fof(f3711,plain,
    ( spl21_242
    | ~ spl21_16
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f824,f736,f417,f3708]) ).

fof(f3708,plain,
    ( spl21_242
  <=> sz10 = sdtpldt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_242])]) ).

fof(f824,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl21_16
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f419]) ).

fof(f3706,plain,
    ( spl21_241
    | ~ spl21_15
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f823,f736,f412,f3703]) ).

fof(f823,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl21_15
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f414]) ).

fof(f3701,plain,
    ( spl21_240
    | ~ spl21_16
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f788,f728,f417,f3698]) ).

fof(f3698,plain,
    ( spl21_240
  <=> sz10 = sdtasdt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_240])]) ).

fof(f788,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl21_16
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f419]) ).

fof(f3696,plain,
    ( spl21_239
    | ~ spl21_16
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f770,f724,f417,f3693]) ).

fof(f3693,plain,
    ( spl21_239
  <=> sz00 = sdtasdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_239])]) ).

fof(f770,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl21_16
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f419]) ).

fof(f3672,plain,
    ( spl21_238
    | ~ spl21_16
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f752,f720,f417,f3669]) ).

fof(f3669,plain,
    ( spl21_238
  <=> sz00 = sdtasdt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_238])]) ).

fof(f752,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl21_16
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f419]) ).

fof(f3667,plain,
    ( spl21_237
    | ~ spl21_15
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f751,f720,f412,f3664]) ).

fof(f3664,plain,
    ( spl21_237
  <=> sz00 = sdtasdt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_237])]) ).

fof(f751,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl21_15
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f414]) ).

fof(f3662,plain,
    ( spl21_236
    | ~ spl21_35
    | ~ spl21_46 ),
    inference(avatar_split_clause,[],[f594,f582,f512,f3660]) ).

fof(f3660,plain,
    ( spl21_236
  <=> ! [X0] :
        ( ~ sP1(X0)
        | sP5(sK15(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_236])]) ).

fof(f594,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | sP5(sK15(X0)) )
    | ~ spl21_35
    | ~ spl21_46 ),
    inference(resolution,[],[f583,f513]) ).

fof(f3525,plain,
    ( spl21_235
    | ~ spl21_81
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1814,f1760,f740,f3522]) ).

fof(f1814,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sz00,sdtpldt0(xn,xm))
    | ~ spl21_81
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f741]) ).

fof(f3325,plain,
    ( spl21_234
    | ~ spl21_80
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1813,f1760,f736,f3322]) ).

fof(f1813,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xm),sz00)
    | ~ spl21_80
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f737]) ).

fof(f3121,plain,
    ( spl21_233
    | ~ spl21_79
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1812,f1760,f732,f3118]) ).

fof(f1812,plain,
    ( sdtpldt0(xn,xm) = sdtasdt0(sz10,sdtpldt0(xn,xm))
    | ~ spl21_79
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f733]) ).

fof(f2926,plain,
    ( spl21_232
    | ~ spl21_78
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1811,f1760,f728,f2923]) ).

fof(f1811,plain,
    ( sdtpldt0(xn,xm) = sdtasdt0(sdtpldt0(xn,xm),sz10)
    | ~ spl21_78
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f729]) ).

fof(f2313,plain,
    ( spl21_230
    | ~ spl21_231
    | ~ spl21_59
    | ~ spl21_172 ),
    inference(avatar_split_clause,[],[f1921,f1867,f638,f2310,f2306]) ).

fof(f2306,plain,
    ( spl21_230
  <=> isPrime0(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_230])]) ).

fof(f2310,plain,
    ( spl21_231
  <=> sP4(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_231])]) ).

fof(f638,plain,
    ( spl21_59
  <=> ! [X0] :
        ( isPrime0(X0)
        | ~ sP4(X0)
        | ~ sP5(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_59])]) ).

fof(f1867,plain,
    ( spl21_172
  <=> sP5(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_172])]) ).

fof(f1921,plain,
    ( ~ sP4(sdtpldt0(xn,xm))
    | isPrime0(sdtpldt0(xn,xm))
    | ~ spl21_59
    | ~ spl21_172 ),
    inference(resolution,[],[f1869,f639]) ).

fof(f639,plain,
    ( ! [X0] :
        ( ~ sP5(X0)
        | ~ sP4(X0)
        | isPrime0(X0) )
    | ~ spl21_59 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1869,plain,
    ( sP5(sdtpldt0(xn,xm))
    | ~ spl21_172 ),
    inference(avatar_component_clause,[],[f1867]) ).

fof(f2199,plain,
    ( spl21_229
    | ~ spl21_13
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f854,f740,f402,f2196]) ).

fof(f2196,plain,
    ( spl21_229
  <=> sK12 = sdtpldt0(sz00,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_229])]) ).

fof(f854,plain,
    ( sK12 = sdtpldt0(sz00,sK12)
    | ~ spl21_13
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f404]) ).

fof(f2194,plain,
    ( spl21_228
    | ~ spl21_14
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f853,f740,f407,f2191]) ).

fof(f2191,plain,
    ( spl21_228
  <=> sK11 = sdtpldt0(sz00,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_228])]) ).

fof(f853,plain,
    ( sK11 = sdtpldt0(sz00,sK11)
    | ~ spl21_14
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f409]) ).

fof(f2189,plain,
    ( spl21_227
    | ~ spl21_12
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f852,f740,f397,f2186]) ).

fof(f2186,plain,
    ( spl21_227
  <=> sK10 = sdtpldt0(sz00,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_227])]) ).

fof(f852,plain,
    ( sK10 = sdtpldt0(sz00,sK10)
    | ~ spl21_12
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f399]) ).

fof(f2184,plain,
    ( spl21_226
    | ~ spl21_10
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f851,f740,f387,f2181]) ).

fof(f2181,plain,
    ( spl21_226
  <=> sK9 = sdtpldt0(sz00,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_226])]) ).

fof(f851,plain,
    ( sK9 = sdtpldt0(sz00,sK9)
    | ~ spl21_10
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f389]) ).

fof(f2179,plain,
    ( spl21_225
    | ~ spl21_8
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f850,f740,f377,f2176]) ).

fof(f2176,plain,
    ( spl21_225
  <=> sK8 = sdtpldt0(sz00,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_225])]) ).

fof(f850,plain,
    ( sK8 = sdtpldt0(sz00,sK8)
    | ~ spl21_8
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f379]) ).

fof(f2153,plain,
    ( spl21_224
    | ~ spl21_9
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f849,f740,f382,f2150]) ).

fof(f2150,plain,
    ( spl21_224
  <=> sK7 = sdtpldt0(sz00,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_224])]) ).

fof(f849,plain,
    ( sK7 = sdtpldt0(sz00,sK7)
    | ~ spl21_9
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f384]) ).

fof(f2148,plain,
    ( spl21_223
    | ~ spl21_3
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f848,f740,f352,f2145]) ).

fof(f2145,plain,
    ( spl21_223
  <=> sK6 = sdtpldt0(sz00,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_223])]) ).

fof(f848,plain,
    ( sK6 = sdtpldt0(sz00,sK6)
    | ~ spl21_3
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f354]) ).

fof(f2143,plain,
    ( spl21_222
    | ~ spl21_2
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f847,f740,f347,f2140]) ).

fof(f2140,plain,
    ( spl21_222
  <=> xr = sdtpldt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_222])]) ).

fof(f847,plain,
    ( xr = sdtpldt0(sz00,xr)
    | ~ spl21_2
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f349]) ).

fof(f2138,plain,
    ( spl21_221
    | ~ spl21_1
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f846,f740,f342,f2135]) ).

fof(f2135,plain,
    ( spl21_221
  <=> xk = sdtpldt0(sz00,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_221])]) ).

fof(f846,plain,
    ( xk = sdtpldt0(sz00,xk)
    | ~ spl21_1
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f344]) ).

fof(f2133,plain,
    ( spl21_220
    | ~ spl21_7
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f845,f740,f372,f2130]) ).

fof(f845,plain,
    ( xp = sdtpldt0(sz00,xp)
    | ~ spl21_7
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f374]) ).

fof(f2128,plain,
    ( spl21_219
    | ~ spl21_6
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f844,f740,f367,f2125]) ).

fof(f844,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl21_6
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f369]) ).

fof(f2123,plain,
    ( spl21_218
    | ~ spl21_5
    | ~ spl21_81 ),
    inference(avatar_split_clause,[],[f843,f740,f362,f2120]) ).

fof(f843,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl21_5
    | ~ spl21_81 ),
    inference(resolution,[],[f741,f364]) ).

fof(f2118,plain,
    ( spl21_217
    | ~ spl21_13
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f836,f736,f402,f2115]) ).

fof(f2115,plain,
    ( spl21_217
  <=> sK12 = sdtpldt0(sK12,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_217])]) ).

fof(f836,plain,
    ( sK12 = sdtpldt0(sK12,sz00)
    | ~ spl21_13
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f404]) ).

fof(f2113,plain,
    ( spl21_216
    | ~ spl21_14
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f835,f736,f407,f2110]) ).

fof(f2110,plain,
    ( spl21_216
  <=> sK11 = sdtpldt0(sK11,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_216])]) ).

fof(f835,plain,
    ( sK11 = sdtpldt0(sK11,sz00)
    | ~ spl21_14
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f409]) ).

fof(f2108,plain,
    ( spl21_215
    | ~ spl21_12
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f834,f736,f397,f2105]) ).

fof(f2105,plain,
    ( spl21_215
  <=> sK10 = sdtpldt0(sK10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_215])]) ).

fof(f834,plain,
    ( sK10 = sdtpldt0(sK10,sz00)
    | ~ spl21_12
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f399]) ).

fof(f2082,plain,
    ( spl21_214
    | ~ spl21_10
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f833,f736,f387,f2079]) ).

fof(f2079,plain,
    ( spl21_214
  <=> sK9 = sdtpldt0(sK9,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_214])]) ).

fof(f833,plain,
    ( sK9 = sdtpldt0(sK9,sz00)
    | ~ spl21_10
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f389]) ).

fof(f2077,plain,
    ( spl21_213
    | ~ spl21_8
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f832,f736,f377,f2074]) ).

fof(f2074,plain,
    ( spl21_213
  <=> sK8 = sdtpldt0(sK8,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_213])]) ).

fof(f832,plain,
    ( sK8 = sdtpldt0(sK8,sz00)
    | ~ spl21_8
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f379]) ).

fof(f2072,plain,
    ( spl21_212
    | ~ spl21_9
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f831,f736,f382,f2069]) ).

fof(f2069,plain,
    ( spl21_212
  <=> sK7 = sdtpldt0(sK7,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_212])]) ).

fof(f831,plain,
    ( sK7 = sdtpldt0(sK7,sz00)
    | ~ spl21_9
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f384]) ).

fof(f2067,plain,
    ( spl21_211
    | ~ spl21_3
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f830,f736,f352,f2064]) ).

fof(f2064,plain,
    ( spl21_211
  <=> sK6 = sdtpldt0(sK6,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_211])]) ).

fof(f830,plain,
    ( sK6 = sdtpldt0(sK6,sz00)
    | ~ spl21_3
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f354]) ).

fof(f2062,plain,
    ( spl21_210
    | ~ spl21_2
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f829,f736,f347,f2059]) ).

fof(f829,plain,
    ( xr = sdtpldt0(xr,sz00)
    | ~ spl21_2
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f349]) ).

fof(f2057,plain,
    ( spl21_209
    | ~ spl21_1
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f828,f736,f342,f2054]) ).

fof(f2054,plain,
    ( spl21_209
  <=> xk = sdtpldt0(xk,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_209])]) ).

fof(f828,plain,
    ( xk = sdtpldt0(xk,sz00)
    | ~ spl21_1
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f344]) ).

fof(f2052,plain,
    ( spl21_208
    | ~ spl21_7
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f827,f736,f372,f2049]) ).

fof(f827,plain,
    ( xp = sdtpldt0(xp,sz00)
    | ~ spl21_7
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f374]) ).

fof(f2047,plain,
    ( spl21_207
    | ~ spl21_6
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f826,f736,f367,f2044]) ).

fof(f2044,plain,
    ( spl21_207
  <=> xm = sdtpldt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_207])]) ).

fof(f826,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl21_6
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f369]) ).

fof(f2042,plain,
    ( spl21_206
    | ~ spl21_5
    | ~ spl21_80 ),
    inference(avatar_split_clause,[],[f825,f736,f362,f2039]) ).

fof(f825,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl21_5
    | ~ spl21_80 ),
    inference(resolution,[],[f737,f364]) ).

fof(f2037,plain,
    ( spl21_205
    | ~ spl21_13
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f818,f732,f402,f2034]) ).

fof(f818,plain,
    ( sK12 = sdtasdt0(sz10,sK12)
    | ~ spl21_13
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f404]) ).

fof(f2032,plain,
    ( spl21_204
    | ~ spl21_77
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1810,f1760,f724,f2029]) ).

fof(f1810,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm))
    | ~ spl21_77
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f725]) ).

fof(f2027,plain,
    ( spl21_203
    | ~ spl21_14
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f817,f732,f407,f2024]) ).

fof(f817,plain,
    ( sK11 = sdtasdt0(sz10,sK11)
    | ~ spl21_14
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f409]) ).

fof(f2022,plain,
    ( spl21_202
    | ~ spl21_12
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f816,f732,f397,f2019]) ).

fof(f816,plain,
    ( sK10 = sdtasdt0(sz10,sK10)
    | ~ spl21_12
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f399]) ).

fof(f2017,plain,
    ( spl21_201
    | ~ spl21_10
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f815,f732,f387,f2014]) ).

fof(f815,plain,
    ( sK9 = sdtasdt0(sz10,sK9)
    | ~ spl21_10
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f389]) ).

fof(f2012,plain,
    ( spl21_200
    | ~ spl21_8
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f814,f732,f377,f2009]) ).

fof(f814,plain,
    ( sK8 = sdtasdt0(sz10,sK8)
    | ~ spl21_8
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f379]) ).

fof(f2007,plain,
    ( spl21_199
    | ~ spl21_9
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f813,f732,f382,f2004]) ).

fof(f813,plain,
    ( sK7 = sdtasdt0(sz10,sK7)
    | ~ spl21_9
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f384]) ).

fof(f2002,plain,
    ( spl21_198
    | ~ spl21_3
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f812,f732,f352,f1999]) ).

fof(f812,plain,
    ( sK6 = sdtasdt0(sz10,sK6)
    | ~ spl21_3
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f354]) ).

fof(f1997,plain,
    ( spl21_197
    | ~ spl21_2
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f811,f732,f347,f1994]) ).

fof(f811,plain,
    ( xr = sdtasdt0(sz10,xr)
    | ~ spl21_2
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f349]) ).

fof(f1992,plain,
    ( spl21_196
    | ~ spl21_1
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f810,f732,f342,f1989]) ).

fof(f810,plain,
    ( xk = sdtasdt0(sz10,xk)
    | ~ spl21_1
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f344]) ).

fof(f1987,plain,
    ( spl21_195
    | ~ spl21_7
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f809,f732,f372,f1984]) ).

fof(f809,plain,
    ( xp = sdtasdt0(sz10,xp)
    | ~ spl21_7
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f374]) ).

fof(f1982,plain,
    ( spl21_194
    | ~ spl21_6
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f808,f732,f367,f1979]) ).

fof(f808,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl21_6
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f369]) ).

fof(f1977,plain,
    ( spl21_193
    | ~ spl21_76
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1809,f1760,f720,f1974]) ).

fof(f1809,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00)
    | ~ spl21_76
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f721]) ).

fof(f1972,plain,
    ( spl21_192
    | ~ spl21_5
    | ~ spl21_79 ),
    inference(avatar_split_clause,[],[f807,f732,f362,f1969]) ).

fof(f807,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl21_5
    | ~ spl21_79 ),
    inference(resolution,[],[f733,f364]) ).

fof(f1967,plain,
    ( spl21_191
    | ~ spl21_13
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f800,f728,f402,f1964]) ).

fof(f800,plain,
    ( sK12 = sdtasdt0(sK12,sz10)
    | ~ spl21_13
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f404]) ).

fof(f1962,plain,
    ( spl21_190
    | ~ spl21_14
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f799,f728,f407,f1959]) ).

fof(f799,plain,
    ( sK11 = sdtasdt0(sK11,sz10)
    | ~ spl21_14
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f409]) ).

fof(f1957,plain,
    ( spl21_189
    | ~ spl21_12
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f798,f728,f397,f1954]) ).

fof(f798,plain,
    ( sK10 = sdtasdt0(sK10,sz10)
    | ~ spl21_12
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f399]) ).

fof(f1952,plain,
    ( spl21_188
    | ~ spl21_10
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f797,f728,f387,f1949]) ).

fof(f797,plain,
    ( sK9 = sdtasdt0(sK9,sz10)
    | ~ spl21_10
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f389]) ).

fof(f1947,plain,
    ( spl21_187
    | ~ spl21_8
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f796,f728,f377,f1944]) ).

fof(f796,plain,
    ( sK8 = sdtasdt0(sK8,sz10)
    | ~ spl21_8
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f379]) ).

fof(f1942,plain,
    ( spl21_186
    | ~ spl21_9
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f795,f728,f382,f1939]) ).

fof(f795,plain,
    ( sK7 = sdtasdt0(sK7,sz10)
    | ~ spl21_9
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f384]) ).

fof(f1937,plain,
    ( spl21_185
    | ~ spl21_3
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f794,f728,f352,f1934]) ).

fof(f794,plain,
    ( sK6 = sdtasdt0(sK6,sz10)
    | ~ spl21_3
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f354]) ).

fof(f1932,plain,
    ( spl21_184
    | ~ spl21_2
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f793,f728,f347,f1929]) ).

fof(f793,plain,
    ( xr = sdtasdt0(xr,sz10)
    | ~ spl21_2
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f349]) ).

fof(f1927,plain,
    ( spl21_183
    | ~ spl21_1
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f792,f728,f342,f1924]) ).

fof(f792,plain,
    ( xk = sdtasdt0(xk,sz10)
    | ~ spl21_1
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f344]) ).

fof(f1920,plain,
    ( spl21_182
    | ~ spl21_7
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f791,f728,f372,f1917]) ).

fof(f791,plain,
    ( xp = sdtasdt0(xp,sz10)
    | ~ spl21_7
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f374]) ).

fof(f1915,plain,
    ( spl21_181
    | ~ spl21_6
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f790,f728,f367,f1912]) ).

fof(f790,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl21_6
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f369]) ).

fof(f1910,plain,
    ( spl21_180
    | ~ spl21_5
    | ~ spl21_78 ),
    inference(avatar_split_clause,[],[f789,f728,f362,f1907]) ).

fof(f789,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl21_5
    | ~ spl21_78 ),
    inference(resolution,[],[f729,f364]) ).

fof(f1905,plain,
    ( spl21_179
    | ~ spl21_13
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f782,f724,f402,f1902]) ).

fof(f1902,plain,
    ( spl21_179
  <=> sz00 = sdtasdt0(sz00,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_179])]) ).

fof(f782,plain,
    ( sz00 = sdtasdt0(sz00,sK12)
    | ~ spl21_13
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f404]) ).

fof(f1900,plain,
    ( spl21_178
    | ~ spl21_14
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f781,f724,f407,f1897]) ).

fof(f1897,plain,
    ( spl21_178
  <=> sz00 = sdtasdt0(sz00,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_178])]) ).

fof(f781,plain,
    ( sz00 = sdtasdt0(sz00,sK11)
    | ~ spl21_14
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f409]) ).

fof(f1895,plain,
    ( spl21_177
    | ~ spl21_12
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f780,f724,f397,f1892]) ).

fof(f780,plain,
    ( sz00 = sdtasdt0(sz00,sK10)
    | ~ spl21_12
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f399]) ).

fof(f1890,plain,
    ( spl21_176
    | ~ spl21_10
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f779,f724,f387,f1887]) ).

fof(f1887,plain,
    ( spl21_176
  <=> sz00 = sdtasdt0(sz00,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_176])]) ).

fof(f779,plain,
    ( sz00 = sdtasdt0(sz00,sK9)
    | ~ spl21_10
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f389]) ).

fof(f1885,plain,
    ( spl21_175
    | ~ spl21_8
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f778,f724,f377,f1882]) ).

fof(f778,plain,
    ( sz00 = sdtasdt0(sz00,sK8)
    | ~ spl21_8
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f379]) ).

fof(f1880,plain,
    ( spl21_174
    | ~ spl21_9
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f777,f724,f382,f1877]) ).

fof(f1877,plain,
    ( spl21_174
  <=> sz00 = sdtasdt0(sz00,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_174])]) ).

fof(f777,plain,
    ( sz00 = sdtasdt0(sz00,sK7)
    | ~ spl21_9
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f384]) ).

fof(f1875,plain,
    ( spl21_173
    | ~ spl21_3
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f776,f724,f352,f1872]) ).

fof(f1872,plain,
    ( spl21_173
  <=> sz00 = sdtasdt0(sz00,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_173])]) ).

fof(f776,plain,
    ( sz00 = sdtasdt0(sz00,sK6)
    | ~ spl21_3
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f354]) ).

fof(f1870,plain,
    ( spl21_172
    | ~ spl21_35
    | ~ spl21_154 ),
    inference(avatar_split_clause,[],[f1808,f1760,f512,f1867]) ).

fof(f1808,plain,
    ( sP5(sdtpldt0(xn,xm))
    | ~ spl21_35
    | ~ spl21_154 ),
    inference(resolution,[],[f1761,f513]) ).

fof(f1865,plain,
    ( spl21_171
    | ~ spl21_2
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f775,f724,f347,f1862]) ).

fof(f1862,plain,
    ( spl21_171
  <=> sz00 = sdtasdt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_171])]) ).

fof(f775,plain,
    ( sz00 = sdtasdt0(sz00,xr)
    | ~ spl21_2
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f349]) ).

fof(f1860,plain,
    ( spl21_170
    | ~ spl21_1
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f774,f724,f342,f1857]) ).

fof(f1857,plain,
    ( spl21_170
  <=> sz00 = sdtasdt0(sz00,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_170])]) ).

fof(f774,plain,
    ( sz00 = sdtasdt0(sz00,xk)
    | ~ spl21_1
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f344]) ).

fof(f1855,plain,
    ( spl21_169
    | ~ spl21_7
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f773,f724,f372,f1852]) ).

fof(f1852,plain,
    ( spl21_169
  <=> sz00 = sdtasdt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_169])]) ).

fof(f773,plain,
    ( sz00 = sdtasdt0(sz00,xp)
    | ~ spl21_7
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f374]) ).

fof(f1850,plain,
    ( spl21_168
    | ~ spl21_6
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f772,f724,f367,f1847]) ).

fof(f1847,plain,
    ( spl21_168
  <=> sz00 = sdtasdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_168])]) ).

fof(f772,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl21_6
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f369]) ).

fof(f1845,plain,
    ( spl21_167
    | ~ spl21_5
    | ~ spl21_77 ),
    inference(avatar_split_clause,[],[f771,f724,f362,f1842]) ).

fof(f1842,plain,
    ( spl21_167
  <=> sz00 = sdtasdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_167])]) ).

fof(f771,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl21_5
    | ~ spl21_77 ),
    inference(resolution,[],[f725,f364]) ).

fof(f1840,plain,
    ( spl21_166
    | ~ spl21_13
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f764,f720,f402,f1837]) ).

fof(f1837,plain,
    ( spl21_166
  <=> sz00 = sdtasdt0(sK12,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_166])]) ).

fof(f764,plain,
    ( sz00 = sdtasdt0(sK12,sz00)
    | ~ spl21_13
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f404]) ).

fof(f1835,plain,
    ( spl21_165
    | ~ spl21_14
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f763,f720,f407,f1832]) ).

fof(f1832,plain,
    ( spl21_165
  <=> sz00 = sdtasdt0(sK11,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_165])]) ).

fof(f763,plain,
    ( sz00 = sdtasdt0(sK11,sz00)
    | ~ spl21_14
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f409]) ).

fof(f1830,plain,
    ( spl21_164
    | ~ spl21_12
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f762,f720,f397,f1827]) ).

fof(f1827,plain,
    ( spl21_164
  <=> sz00 = sdtasdt0(sK10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_164])]) ).

fof(f762,plain,
    ( sz00 = sdtasdt0(sK10,sz00)
    | ~ spl21_12
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f399]) ).

fof(f1825,plain,
    ( spl21_163
    | ~ spl21_10
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f761,f720,f387,f1822]) ).

fof(f1822,plain,
    ( spl21_163
  <=> sz00 = sdtasdt0(sK9,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_163])]) ).

fof(f761,plain,
    ( sz00 = sdtasdt0(sK9,sz00)
    | ~ spl21_10
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f389]) ).

fof(f1807,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | ~ spl21_83
    | spl21_154 ),
    inference(avatar_split_clause,[],[f1766,f1760,f860,f367,f362]) ).

fof(f1766,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl21_83
    | spl21_154 ),
    inference(resolution,[],[f1762,f861]) ).

fof(f1762,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl21_154 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1806,plain,
    ( spl21_162
    | ~ spl21_8
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f760,f720,f377,f1803]) ).

fof(f1803,plain,
    ( spl21_162
  <=> sz00 = sdtasdt0(sK8,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_162])]) ).

fof(f760,plain,
    ( sz00 = sdtasdt0(sK8,sz00)
    | ~ spl21_8
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f379]) ).

fof(f1801,plain,
    ( spl21_161
    | ~ spl21_9
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f759,f720,f382,f1798]) ).

fof(f759,plain,
    ( sz00 = sdtasdt0(sK7,sz00)
    | ~ spl21_9
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f384]) ).

fof(f1796,plain,
    ( spl21_160
    | ~ spl21_3
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f758,f720,f352,f1793]) ).

fof(f758,plain,
    ( sz00 = sdtasdt0(sK6,sz00)
    | ~ spl21_3
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f354]) ).

fof(f1791,plain,
    ( spl21_159
    | ~ spl21_2
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f757,f720,f347,f1788]) ).

fof(f1788,plain,
    ( spl21_159
  <=> sz00 = sdtasdt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_159])]) ).

fof(f757,plain,
    ( sz00 = sdtasdt0(xr,sz00)
    | ~ spl21_2
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f349]) ).

fof(f1786,plain,
    ( spl21_158
    | ~ spl21_1
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f756,f720,f342,f1783]) ).

fof(f756,plain,
    ( sz00 = sdtasdt0(xk,sz00)
    | ~ spl21_1
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f344]) ).

fof(f1781,plain,
    ( spl21_157
    | ~ spl21_7
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f755,f720,f372,f1778]) ).

fof(f1778,plain,
    ( spl21_157
  <=> sz00 = sdtasdt0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_157])]) ).

fof(f755,plain,
    ( sz00 = sdtasdt0(xp,sz00)
    | ~ spl21_7
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f374]) ).

fof(f1776,plain,
    ( spl21_156
    | ~ spl21_6
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f754,f720,f367,f1773]) ).

fof(f754,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl21_6
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f369]) ).

fof(f1771,plain,
    ( spl21_155
    | ~ spl21_5
    | ~ spl21_76 ),
    inference(avatar_split_clause,[],[f753,f720,f362,f1768]) ).

fof(f753,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl21_5
    | ~ spl21_76 ),
    inference(resolution,[],[f721,f364]) ).

fof(f1763,plain,
    ( ~ spl21_2
    | ~ spl21_7
    | spl21_152
    | ~ spl21_153
    | ~ spl21_154
    | spl21_50
    | ~ spl21_136 ),
    inference(avatar_split_clause,[],[f1512,f1477,f600,f1760,f1756,f1752,f372,f347]) ).

fof(f1512,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(xr,xp)
    | xp = xr
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | spl21_50
    | ~ spl21_136 ),
    inference(resolution,[],[f1478,f602]) ).

fof(f1746,plain,
    ( spl21_151
    | ~ spl21_16
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f516,f512,f417,f1743]) ).

fof(f516,plain,
    ( sP5(sz10)
    | ~ spl21_16
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f419]) ).

fof(f1741,plain,
    ( spl21_150
    | ~ spl21_15
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f515,f512,f412,f1738]) ).

fof(f1738,plain,
    ( spl21_150
  <=> sP5(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_150])]) ).

fof(f515,plain,
    ( sP5(sz00)
    | ~ spl21_15
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f414]) ).

fof(f1716,plain,
    spl21_149,
    inference(avatar_split_clause,[],[f253,f1714]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1] :
      ( sP3(X1,X2)
      | sP2(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
      | ~ aNaturalNumber0(X3)
      | sP1(X2)
      | sz10 = X2
      | sz00 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( sP3(X1,X2)
      | sP2(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( sP1(X2)
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f69,f137,f136,f135,f134]) ).

fof(f134,plain,
    ! [X2,X4] :
      ( ? [X5] :
          ( sdtasdt0(X4,X5) = X2
          & aNaturalNumber0(X5) )
      | ~ sP0(X2,X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f135,plain,
    ! [X2] :
      ( ? [X4] :
          ( X2 != X4
          & sz10 != X4
          & doDivides0(X4,X2)
          & sP0(X2,X4)
          & aNaturalNumber0(X4) )
      | ~ sP1(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f136,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP2(X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f137,plain,
    ! [X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ~ sP3(X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X4] :
                  ( ( doDivides0(X4,X2)
                    & ? [X5] :
                        ( sdtasdt0(X4,X5) = X2
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X4) )
                 => ( X2 = X4
                    | sz10 = X4 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X6] :
                  ( sdtasdt0(X2,X6) = X1
                  & aNaturalNumber0(X6) ) )
            | ( doDivides0(X2,X0)
              & ? [X7] :
                  ( sdtasdt0(X2,X7) = X0
                  & aNaturalNumber0(X7) ) ) ) ) ) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X3] :
                  ( ( doDivides0(X3,X2)
                    & ? [X4] :
                        ( sdtasdt0(X3,X4) = X2
                        & aNaturalNumber0(X4) )
                    & aNaturalNumber0(X3) )
                 => ( X2 = X3
                    | sz10 = X3 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X1
                  & aNaturalNumber0(X3) ) )
            | ( doDivides0(X2,X0)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X0
                  & aNaturalNumber0(X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).

fof(f1708,plain,
    spl21_148,
    inference(avatar_split_clause,[],[f255,f1706]) ).

fof(f255,plain,
    ! [X2,X0,X1] :
      ( sP3(X1,X2)
      | sP2(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | sP1(X2)
      | sz10 = X2
      | sz00 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f1694,plain,
    spl21_147,
    inference(avatar_split_clause,[],[f254,f1692]) ).

fof(f254,plain,
    ! [X2,X3,X0,X1] :
      ( sP3(X1,X2)
      | sP2(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
      | ~ aNaturalNumber0(X3)
      | ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f1686,plain,
    ( spl21_146
    | ~ spl21_49
    | ~ spl21_145 ),
    inference(avatar_split_clause,[],[f1682,f1679,f596,f1684]) ).

fof(f1681,plain,
    spl21_145,
    inference(avatar_split_clause,[],[f256,f1679]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( sP3(X1,X2)
      | sP2(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f1655,plain,
    spl21_144,
    inference(avatar_split_clause,[],[f335,f1653]) ).

fof(f335,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,sdtasdt0(X0,X2))
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f305]) ).

fof(f305,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).

fof(f1651,plain,
    spl21_143,
    inference(avatar_split_clause,[],[f302,f1649]) ).

fof(f302,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).

fof(f1621,plain,
    spl21_142,
    inference(avatar_split_clause,[],[f321,f1619]) ).

fof(f321,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & sz00 != X0 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).

fof(f1617,plain,
    spl21_141,
    inference(avatar_split_clause,[],[f319,f1615]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f1600,plain,
    spl21_140,
    inference(avatar_split_clause,[],[f332,f1598]) ).

fof(f332,plain,
    ! [X2,X0] :
      ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f293]) ).

fof(f293,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( sdtmndt0(X1,X0) = X2
          <=> ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f1491,plain,
    spl21_139,
    inference(avatar_split_clause,[],[f317,f1489]) ).

fof(f317,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

fof(f1487,plain,
    spl21_138,
    inference(avatar_split_clause,[],[f316,f1485]) ).

fof(f316,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f1483,plain,
    spl21_137,
    inference(avatar_split_clause,[],[f301,f1481]) ).

fof(f301,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
              & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
              & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).

fof(f1479,plain,
    spl21_136,
    inference(avatar_split_clause,[],[f299,f1477]) ).

fof(f299,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f1473,plain,
    spl21_135,
    inference(avatar_split_clause,[],[f270,f1471]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).

fof(f1469,plain,
    spl21_134,
    inference(avatar_split_clause,[],[f269,f1467]) ).

fof(f269,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f1378,plain,
    spl21_133,
    inference(avatar_split_clause,[],[f336,f1376]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f304]) ).

fof(f304,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1374,plain,
    spl21_132,
    inference(avatar_split_clause,[],[f324,f1372]) ).

fof(f324,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,sdtpldt0(X1,X2))
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).

fof(f1370,plain,
    spl21_131,
    inference(avatar_split_clause,[],[f323,f1368]) ).

fof(f323,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,sdtpldt0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivSum) ).

fof(f1364,plain,
    spl21_130,
    inference(avatar_split_clause,[],[f315,f1362]) ).

fof(f315,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f1360,plain,
    spl21_129,
    inference(avatar_split_clause,[],[f314,f1358]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

fof(f1332,plain,
    spl21_128,
    inference(avatar_split_clause,[],[f327,f1330]) ).

fof(f327,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

fof(f1328,plain,
    spl21_127,
    inference(avatar_split_clause,[],[f326,f1326]) ).

fof(f326,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f1296,plain,
    spl21_126,
    inference(avatar_split_clause,[],[f325,f1294]) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).

fof(f1290,plain,
    spl21_125,
    inference(avatar_split_clause,[],[f322,f1288]) ).

fof(f322,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).

fof(f1286,plain,
    spl21_124,
    inference(avatar_split_clause,[],[f296,f1284]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtasdt0(X0,X1)
       => ( sz00 = X1
          | sz00 = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).

fof(f1274,plain,
    spl21_123,
    inference(avatar_split_clause,[],[f223,f1272]) ).

fof(f1272,plain,
    ( spl21_123
  <=> ! [X2,X1] :
        ( xp = X1
        | sz10 = X1
        | sdtasdt0(X1,X2) != xp
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_123])]) ).

fof(f223,plain,
    ! [X2,X1] :
      ( xp = X1
      | sz10 = X1
      | sdtasdt0(X1,X2) != xp
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
    & aNaturalNumber0(sK10)
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f64,f149]) ).

fof(f149,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
      & aNaturalNumber0(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( ( ( doDivides0(X1,xp)
            | ? [X2] :
                ( sdtasdt0(X1,X2) = xp
                & aNaturalNumber0(X2) ) )
          & aNaturalNumber0(X1) )
       => ( xp = X1
          | sz10 = X1 ) )
    & sz10 != xp
    & sz00 != xp ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X0] :
        ( ( ( doDivides0(X0,xp)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xp
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xp = X0
          | sz10 = X0 ) )
    & sz10 != xp
    & sz00 != xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).

fof(f1270,plain,
    spl21_122,
    inference(avatar_split_clause,[],[f201,f1268]) ).

fof(f1268,plain,
    ( spl21_122
  <=> ! [X0,X1] :
        ( xr = X0
        | sz10 = X0
        | sdtasdt0(X0,X1) != xr
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_122])]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( xr = X0
      | sz10 = X0
      | sdtasdt0(X0,X1) != xr
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & xk = sdtasdt0(xr,sK6)
    & aNaturalNumber0(sK6)
    & aNaturalNumber0(xr) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f62,f142]) ).

fof(f142,plain,
    ( ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
   => ( xk = sdtasdt0(xr,sK6)
      & aNaturalNumber0(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X0] :
        ( xk = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).

fof(f1215,plain,
    spl21_121,
    inference(avatar_split_clause,[],[f337,f1213]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X1,X0))
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f303]) ).

fof(f303,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1211,plain,
    spl21_120,
    inference(avatar_split_clause,[],[f333,f1209]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f292]) ).

fof(f292,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X2) = X1
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f1207,plain,
    spl21_119,
    inference(avatar_split_clause,[],[f312,f1205]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sK20(X0,X1)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK20(X0,X1)) = X1
            & aNaturalNumber0(sK20(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f187,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK20(X0,X1)) = X1
        & aNaturalNumber0(sK20(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtpldt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).

fof(f1203,plain,
    spl21_118,
    inference(avatar_split_clause,[],[f309,f1201]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sK19(X0,X1)) = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK19(X0,X1)) = X1
            & aNaturalNumber0(sK19(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f183,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK19(X0,X1)) = X1
        & aNaturalNumber0(sK19(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

fof(f1140,plain,
    spl21_117,
    inference(avatar_split_clause,[],[f339,f1138]) ).

fof(f339,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f313]) ).

fof(f313,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1136,plain,
    spl21_116,
    inference(avatar_split_clause,[],[f338,f1134]) ).

fof(f338,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f310]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f1132,plain,
    spl21_115,
    inference(avatar_split_clause,[],[f307,f1130]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).

fof(f1128,plain,
    spl21_114,
    inference(avatar_split_clause,[],[f306,f1126]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X1
          & doDivides0(X0,X1) )
       => sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).

fof(f1124,plain,
    spl21_113,
    inference(avatar_split_clause,[],[f297,f1122]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => iLess0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).

fof(f1120,plain,
    spl21_112,
    inference(avatar_split_clause,[],[f275,f1118]) ).

fof(f275,plain,
    ! [X2,X0] :
      ( X0 = X2
      | sz10 = X2
      | ~ doDivides0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( sK17(X0) != X0
          & sz10 != sK17(X0)
          & doDivides0(sK17(X0),X0)
          & aNaturalNumber0(sK17(X0)) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X2] :
              ( X0 = X2
              | sz10 = X2
              | ~ doDivides0(X2,X0)
              | ~ aNaturalNumber0(X2) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f173,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( sK17(X0) != X0
        & sz10 != sK17(X0)
        & doDivides0(sK17(X0),X0)
        & aNaturalNumber0(sK17(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X2] :
              ( X0 = X2
              | sz10 = X2
              | ~ doDivides0(X2,X0)
              | ~ aNaturalNumber0(X2) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP4(X0) ) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ( ! [X1] :
            ( X0 = X1
            | sz10 = X1
            | ~ doDivides0(X1,X0)
            | ~ aNaturalNumber0(X1) )
        & sz10 != X0
        & sz00 != X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1100,plain,
    ( spl21_111
    | ~ spl21_13
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f528,f512,f402,f1097]) ).

fof(f528,plain,
    ( sP5(sK12)
    | ~ spl21_13
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f404]) ).

fof(f1093,plain,
    spl21_110,
    inference(avatar_split_clause,[],[f295,f1091]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtpldt0(X0,X1)
       => ( sz00 = X1
          & sz00 = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).

fof(f1089,plain,
    spl21_109,
    inference(avatar_split_clause,[],[f294,f1087]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( sz00 = X0
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f1085,plain,
    spl21_108,
    inference(avatar_split_clause,[],[f290,f1083]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 != X0
       => sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).

fof(f1081,plain,
    spl21_107,
    inference(avatar_split_clause,[],[f282,f1079]) ).

fof(f282,plain,
    ! [X0] :
      ( doDivides0(sK18(X0),X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ( isPrime0(sK18(X0))
        & doDivides0(sK18(X0),X0)
        & aNaturalNumber0(sK18(X0)) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f81,f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( isPrime0(sK18(X0))
        & doDivides0(sK18(X0),X0)
        & aNaturalNumber0(sK18(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ( sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
     => ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).

fof(f1077,plain,
    spl21_106,
    inference(avatar_split_clause,[],[f279,f1075]) ).

fof(f1075,plain,
    ( spl21_106
  <=> ! [X0] :
        ( sP4(X0)
        | sK17(X0) != X0
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_106])]) ).

fof(f279,plain,
    ! [X0] :
      ( sP4(X0)
      | sK17(X0) != X0
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f1073,plain,
    spl21_105,
    inference(avatar_split_clause,[],[f278,f1071]) ).

fof(f1071,plain,
    ( spl21_105
  <=> ! [X0] :
        ( sP4(X0)
        | sz10 != sK17(X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).

fof(f278,plain,
    ! [X0] :
      ( sP4(X0)
      | sz10 != sK17(X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f1069,plain,
    spl21_104,
    inference(avatar_split_clause,[],[f277,f1067]) ).

fof(f277,plain,
    ! [X0] :
      ( sP4(X0)
      | doDivides0(sK17(X0),X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f1065,plain,
    ( spl21_103
    | ~ spl21_14
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f527,f512,f407,f1062]) ).

fof(f527,plain,
    ( sP5(sK11)
    | ~ spl21_14
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f409]) ).

fof(f975,plain,
    spl21_102,
    inference(avatar_split_clause,[],[f334,f973]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f291]) ).

fof(f291,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f971,plain,
    ( spl21_101
    | ~ spl21_12
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f526,f512,f397,f968]) ).

fof(f526,plain,
    ( sP5(sK10)
    | ~ spl21_12
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f399]) ).

fof(f966,plain,
    spl21_100,
    inference(avatar_split_clause,[],[f311,f964]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK20(X0,X1))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f962,plain,
    spl21_99,
    inference(avatar_split_clause,[],[f308,f960]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK19(X0,X1))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f958,plain,
    spl21_98,
    inference(avatar_split_clause,[],[f287,f956]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f954,plain,
    spl21_97,
    inference(avatar_split_clause,[],[f286,f952]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

fof(f950,plain,
    spl21_96,
    inference(avatar_split_clause,[],[f283,f948]) ).

fof(f948,plain,
    ( spl21_96
  <=> ! [X0] :
        ( isPrime0(sK18(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_96])]) ).

fof(f283,plain,
    ! [X0] :
      ( isPrime0(sK18(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f946,plain,
    spl21_95,
    inference(avatar_split_clause,[],[f281,f944]) ).

fof(f281,plain,
    ! [X0] :
      ( aNaturalNumber0(sK18(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f942,plain,
    spl21_94,
    inference(avatar_split_clause,[],[f276,f940]) ).

fof(f276,plain,
    ! [X0] :
      ( sP4(X0)
      | aNaturalNumber0(sK17(X0))
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f938,plain,
    spl21_93,
    inference(avatar_split_clause,[],[f268,f936]) ).

fof(f268,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( ( sdtlseqdt0(sz10,X0)
          & sz10 != X0 )
        | sz10 = X0
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).

fof(f932,plain,
    ( spl21_92
    | ~ spl21_10
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f525,f512,f387,f929]) ).

fof(f525,plain,
    ( sP5(sK9)
    | ~ spl21_10
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f389]) ).

fof(f927,plain,
    spl21_91,
    inference(avatar_split_clause,[],[f224,f925]) ).

fof(f224,plain,
    ! [X1] :
      ( xp = X1
      | sz10 = X1
      | ~ doDivides0(X1,xp)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f923,plain,
    spl21_90,
    inference(avatar_split_clause,[],[f202,f921]) ).

fof(f202,plain,
    ! [X0] :
      ( xr = X0
      | sz10 = X0
      | ~ doDivides0(X0,xr)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f910,plain,
    spl21_89,
    inference(avatar_split_clause,[],[f289,f908]) ).

fof(f289,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).

fof(f906,plain,
    spl21_88,
    inference(avatar_split_clause,[],[f252,f904]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( sdtasdt0(X1,sK16(X0,X1)) = X0
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( sdtasdt0(X1,sK16(X0,X1)) = X0
        & aNaturalNumber0(sK16(X0,X1)) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f167,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,sK16(X0,X1)) = X0
        & aNaturalNumber0(sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f166]) ).

fof(f166,plain,
    ! [X2,X4] :
      ( ? [X5] :
          ( sdtasdt0(X4,X5) = X2
          & aNaturalNumber0(X5) )
      | ~ sP0(X2,X4) ),
    inference(nnf_transformation,[],[f134]) ).

fof(f902,plain,
    spl21_87,
    inference(avatar_split_clause,[],[f244,f900]) ).

fof(f900,plain,
    ( spl21_87
  <=> ! [X0,X1] :
        ( sdtasdt0(X1,sK14(X0,X1)) = X0
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( sdtasdt0(X1,sK14(X0,X1)) = X0
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & sdtasdt0(X1,sK14(X0,X1)) = X0
        & aNaturalNumber0(sK14(X0,X1)) )
      | ~ sP2(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f159,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,sK14(X0,X1)) = X0
        & aNaturalNumber0(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & ? [X2] :
            ( sdtasdt0(X1,X2) = X0
            & aNaturalNumber0(X2) ) )
      | ~ sP2(X0,X1) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP2(X0,X2) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f898,plain,
    spl21_86,
    inference(avatar_split_clause,[],[f241,f896]) ).

fof(f896,plain,
    ( spl21_86
  <=> ! [X0,X1] :
        ( sdtasdt0(X1,sK13(X0,X1)) = X0
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_86])]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( sdtasdt0(X1,sK13(X0,X1)) = X0
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & sdtasdt0(X1,sK13(X0,X1)) = X0
        & aNaturalNumber0(sK13(X0,X1)) )
      | ~ sP3(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f155,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,sK13(X0,X1)) = X0
        & aNaturalNumber0(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & ? [X2] :
            ( sdtasdt0(X1,X2) = X0
            & aNaturalNumber0(X2) ) )
      | ~ sP3(X0,X1) ),
    inference(rectify,[],[f154]) ).

fof(f154,plain,
    ! [X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ~ sP3(X1,X2) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f894,plain,
    ( spl21_85
    | ~ spl21_8
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f524,f512,f377,f891]) ).

fof(f524,plain,
    ( sP5(sK8)
    | ~ spl21_8
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f379]) ).

fof(f866,plain,
    spl21_84,
    inference(avatar_split_clause,[],[f285,f864]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f862,plain,
    spl21_83,
    inference(avatar_split_clause,[],[f284,f860]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

fof(f750,plain,
    ( spl21_82
    | ~ spl21_9
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f523,f512,f382,f747]) ).

fof(f523,plain,
    ( sP5(sK7)
    | ~ spl21_9
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f384]) ).

fof(f742,plain,
    spl21_81,
    inference(avatar_split_clause,[],[f266,f740]) ).

fof(f266,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

fof(f738,plain,
    spl21_80,
    inference(avatar_split_clause,[],[f265,f736]) ).

fof(f265,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f734,plain,
    spl21_79,
    inference(avatar_split_clause,[],[f264,f732]) ).

fof(f264,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f730,plain,
    spl21_78,
    inference(avatar_split_clause,[],[f263,f728]) ).

fof(f263,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f726,plain,
    spl21_77,
    inference(avatar_split_clause,[],[f262,f724]) ).

fof(f262,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

fof(f722,plain,
    spl21_76,
    inference(avatar_split_clause,[],[f261,f720]) ).

fof(f261,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f718,plain,
    spl21_75,
    inference(avatar_split_clause,[],[f251,f716]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK16(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f714,plain,
    ( spl21_74
    | ~ spl21_3
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f522,f512,f352,f711]) ).

fof(f522,plain,
    ( sP5(sK6)
    | ~ spl21_3
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f354]) ).

fof(f709,plain,
    spl21_73,
    inference(avatar_split_clause,[],[f243,f707]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK14(X0,X1))
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f705,plain,
    spl21_72,
    inference(avatar_split_clause,[],[f240,f703]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK13(X0,X1))
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f701,plain,
    ( spl21_71
    | ~ spl21_64 ),
    inference(avatar_split_clause,[],[f668,f664,f698]) ).

fof(f664,plain,
    ( spl21_64
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_64])]) ).

fof(f668,plain,
    ( sdtasdt0(xp,sK10) = sdtasdt0(xr,sK11)
    | ~ spl21_64 ),
    inference(forward_demodulation,[],[f666,f232]) ).

fof(f232,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xr,sK11),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xr,sK11)
    & aNaturalNumber0(sK11)
    & xk = sdtpldt0(xr,sK12)
    & aNaturalNumber0(sK12) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f56,f152,f151]) ).

fof(f151,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK11)
      & aNaturalNumber0(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ( ? [X1] :
        ( xk = sdtpldt0(xr,X1)
        & aNaturalNumber0(X1) )
   => ( xk = sdtpldt0(xr,sK12)
      & aNaturalNumber0(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & ? [X1] :
        ( xk = sdtpldt0(xr,X1)
        & aNaturalNumber0(X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & ? [X0] :
        ( xk = sdtpldt0(xr,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).

fof(f666,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
    | ~ spl21_64 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f696,plain,
    ( spl21_70
    | ~ spl21_63 ),
    inference(avatar_split_clause,[],[f662,f658,f693]) ).

fof(f658,plain,
    ( spl21_63
  <=> xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_63])]) ).

fof(f662,plain,
    ( xk = sdtsldt0(sdtasdt0(xr,sK11),xp)
    | ~ spl21_63 ),
    inference(forward_demodulation,[],[f660,f232]) ).

fof(f660,plain,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    | ~ spl21_63 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f691,plain,
    ( spl21_69
    | ~ spl21_2
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f521,f512,f347,f688]) ).

fof(f521,plain,
    ( sP5(xr)
    | ~ spl21_2
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f349]) ).

fof(f686,plain,
    ( spl21_68
    | ~ spl21_62 ),
    inference(avatar_split_clause,[],[f656,f652,f683]) ).

fof(f652,plain,
    ( spl21_62
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).

fof(f656,plain,
    ( sdtasdt0(xp,xk) = sdtasdt0(xr,sK11)
    | ~ spl21_62 ),
    inference(forward_demodulation,[],[f654,f232]) ).

fof(f654,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | ~ spl21_62 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f681,plain,
    spl21_67,
    inference(avatar_split_clause,[],[f238,f679]) ).

fof(f679,plain,
    ( spl21_67
  <=> ! [X0] :
        ( xn != sdtpldt0(xp,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).

fof(f238,plain,
    ! [X0] :
      ( xn != sdtpldt0(xp,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ~ sdtlseqdt0(xp,xn)
    & ! [X0] :
        ( xn != sdtpldt0(xp,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ ( sdtlseqdt0(xp,xn)
      | ? [X0] :
          ( xn = sdtpldt0(xp,X0)
          & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).

fof(f677,plain,
    spl21_66,
    inference(avatar_split_clause,[],[f236,f675]) ).

fof(f675,plain,
    ( spl21_66
  <=> ! [X0] :
        ( xm != sdtpldt0(xp,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).

fof(f236,plain,
    ! [X0] :
      ( xm != sdtpldt0(xp,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ~ sdtlseqdt0(xp,xm)
    & ! [X0] :
        ( xm != sdtpldt0(xp,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ ( sdtlseqdt0(xp,xm)
      | ? [X0] :
          ( xm = sdtpldt0(xp,X0)
          & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).

fof(f673,plain,
    spl21_65,
    inference(avatar_split_clause,[],[f232,f670]) ).

fof(f667,plain,
    spl21_64,
    inference(avatar_split_clause,[],[f227,f664]) ).

fof(f227,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
    inference(cnf_transformation,[],[f150]) ).

fof(f661,plain,
    spl21_63,
    inference(avatar_split_clause,[],[f194,f658]) ).

fof(f194,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & aNaturalNumber0(xk) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).

fof(f655,plain,
    spl21_62,
    inference(avatar_split_clause,[],[f193,f652]) ).

fof(f193,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
    inference(cnf_transformation,[],[f45]) ).

fof(f649,plain,
    ( spl21_49
    | spl21_61 ),
    inference(avatar_split_clause,[],[f190,f647,f596]) ).

fof(f647,plain,
    ( spl21_61
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).

fof(f190,plain,
    ! [X0] :
      ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
      | ~ aNaturalNumber0(X0)
      | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
      & ! [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
          | ~ aNaturalNumber0(X0) ) )
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,negated_conjecture,
    ~ ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ? [X0] :
            ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
            & aNaturalNumber0(X0) ) )
      & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(negated_conjecture,[],[f51]) ).

fof(f51,conjecture,
    ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ? [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
          & aNaturalNumber0(X0) ) )
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f645,plain,
    ( spl21_60
    | ~ spl21_1
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f520,f512,f342,f642]) ).

fof(f520,plain,
    ( sP5(xk)
    | ~ spl21_1
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f344]) ).

fof(f640,plain,
    spl21_59,
    inference(avatar_split_clause,[],[f272,f638]) ).

fof(f272,plain,
    ! [X0] :
      ( isPrime0(X0)
      | ~ sP4(X0)
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ~ sP4(X0) )
        & ( sP4(X0)
          | ~ isPrime0(X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> sP4(X0) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f636,plain,
    spl21_58,
    inference(avatar_split_clause,[],[f271,f634]) ).

fof(f271,plain,
    ! [X0] :
      ( sP4(X0)
      | ~ isPrime0(X0)
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f632,plain,
    spl21_57,
    inference(avatar_split_clause,[],[f250,f630]) ).

fof(f630,plain,
    ( spl21_57
  <=> ! [X0] :
        ( sK15(X0) != X0
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).

fof(f250,plain,
    ! [X0] :
      ( sK15(X0) != X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ( sK15(X0) != X0
        & sz10 != sK15(X0)
        & doDivides0(sK15(X0),X0)
        & sP0(X0,sK15(X0))
        & aNaturalNumber0(sK15(X0)) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f163,f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & sP0(X0,X1)
          & aNaturalNumber0(X1) )
     => ( sK15(X0) != X0
        & sz10 != sK15(X0)
        & doDivides0(sK15(X0),X0)
        & sP0(X0,sK15(X0))
        & aNaturalNumber0(sK15(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & sP0(X0,X1)
          & aNaturalNumber0(X1) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f162]) ).

fof(f162,plain,
    ! [X2] :
      ( ? [X4] :
          ( X2 != X4
          & sz10 != X4
          & doDivides0(X4,X2)
          & sP0(X2,X4)
          & aNaturalNumber0(X4) )
      | ~ sP1(X2) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f628,plain,
    ( spl21_56
    | ~ spl21_7
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f519,f512,f372,f625]) ).

fof(f519,plain,
    ( sP5(xp)
    | ~ spl21_7
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f374]) ).

fof(f623,plain,
    spl21_55,
    inference(avatar_split_clause,[],[f249,f621]) ).

fof(f621,plain,
    ( spl21_55
  <=> ! [X0] :
        ( sz10 != sK15(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).

fof(f249,plain,
    ! [X0] :
      ( sz10 != sK15(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f619,plain,
    spl21_54,
    inference(avatar_split_clause,[],[f248,f617]) ).

fof(f248,plain,
    ! [X0] :
      ( doDivides0(sK15(X0),X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f615,plain,
    spl21_53,
    inference(avatar_split_clause,[],[f247,f613]) ).

fof(f247,plain,
    ! [X0] :
      ( sP0(X0,sK15(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f611,plain,
    spl21_52,
    inference(avatar_split_clause,[],[f245,f609]) ).

fof(f609,plain,
    ( spl21_52
  <=> ! [X0,X1] :
        ( doDivides0(X1,X0)
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( doDivides0(X1,X0)
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f607,plain,
    spl21_51,
    inference(avatar_split_clause,[],[f242,f605]) ).

fof(f605,plain,
    ( spl21_51
  <=> ! [X0,X1] :
        ( doDivides0(X1,X0)
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( doDivides0(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f603,plain,
    ( spl21_49
    | ~ spl21_50 ),
    inference(avatar_split_clause,[],[f191,f600,f596]) ).

fof(f191,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f593,plain,
    ( spl21_48
    | ~ spl21_6
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f518,f512,f367,f590]) ).

fof(f518,plain,
    ( sP5(xm)
    | ~ spl21_6
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f369]) ).

fof(f588,plain,
    spl21_47,
    inference(avatar_split_clause,[],[f260,f586]) ).

fof(f260,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).

fof(f584,plain,
    spl21_46,
    inference(avatar_split_clause,[],[f246,f582]) ).

fof(f246,plain,
    ! [X0] :
      ( aNaturalNumber0(sK15(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f580,plain,
    ( spl21_45
    | ~ spl21_42 ),
    inference(avatar_split_clause,[],[f565,f561,f577]) ).

fof(f561,plain,
    ( spl21_42
  <=> doDivides0(xr,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).

fof(f565,plain,
    ( doDivides0(xr,sdtasdt0(xr,sK11))
    | ~ spl21_42 ),
    inference(forward_demodulation,[],[f563,f232]) ).

fof(f563,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    | ~ spl21_42 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f575,plain,
    ( spl21_44
    | ~ spl21_40 ),
    inference(avatar_split_clause,[],[f554,f550,f572]) ).

fof(f550,plain,
    ( spl21_40
  <=> doDivides0(xp,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).

fof(f554,plain,
    ( doDivides0(xp,sdtasdt0(xr,sK11))
    | ~ spl21_40 ),
    inference(forward_demodulation,[],[f552,f232]) ).

fof(f552,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    | ~ spl21_40 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f570,plain,
    ( spl21_43
    | ~ spl21_5
    | ~ spl21_35 ),
    inference(avatar_split_clause,[],[f517,f512,f362,f567]) ).

fof(f567,plain,
    ( spl21_43
  <=> sP5(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).

fof(f517,plain,
    ( sP5(xn)
    | ~ spl21_5
    | ~ spl21_35 ),
    inference(resolution,[],[f513,f364]) ).

fof(f564,plain,
    spl21_42,
    inference(avatar_split_clause,[],[f233,f561]) ).

fof(f233,plain,
    doDivides0(xr,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f153]) ).

fof(f559,plain,
    spl21_41,
    inference(avatar_split_clause,[],[f230,f556]) ).

fof(f230,plain,
    xk = sdtpldt0(xr,sK12),
    inference(cnf_transformation,[],[f153]) ).

fof(f553,plain,
    spl21_40,
    inference(avatar_split_clause,[],[f228,f550]) ).

fof(f228,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f150]) ).

fof(f548,plain,
    spl21_39,
    inference(avatar_split_clause,[],[f219,f545]) ).

fof(f219,plain,
    xp = sdtpldt0(xk,sK9),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( sdtlseqdt0(xk,xp)
    & xp = sdtpldt0(xk,sK9)
    & aNaturalNumber0(sK9)
    & xp != xk ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f50,f147]) ).

fof(f147,plain,
    ( ? [X0] :
        ( xp = sdtpldt0(xk,X0)
        & aNaturalNumber0(X0) )
   => ( xp = sdtpldt0(xk,sK9)
      & aNaturalNumber0(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,axiom,
    ( sdtlseqdt0(xk,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xk,X0)
        & aNaturalNumber0(X0) )
    & xp != xk ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2377) ).

fof(f543,plain,
    spl21_38,
    inference(avatar_split_clause,[],[f213,f540]) ).

fof(f213,plain,
    xp = sdtpldt0(xm,sK7),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( sdtlseqdt0(xm,xp)
    & xp = sdtpldt0(xm,sK7)
    & aNaturalNumber0(sK7)
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & xp = sdtpldt0(xn,sK8)
    & aNaturalNumber0(sK8)
    & xn != xp ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f54,f145,f144]) ).

fof(f144,plain,
    ( ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
   => ( xp = sdtpldt0(xm,sK7)
      & aNaturalNumber0(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X1] :
        ( xp = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
   => ( xp = sdtpldt0(xn,sK8)
      & aNaturalNumber0(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ( sdtlseqdt0(xm,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & ? [X1] :
        ( xp = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
    & xn != xp ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xm,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & xn != xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).

fof(f538,plain,
    spl21_37,
    inference(avatar_split_clause,[],[f209,f535]) ).

fof(f209,plain,
    xp = sdtpldt0(xn,sK8),
    inference(cnf_transformation,[],[f146]) ).

fof(f533,plain,
    spl21_36,
    inference(avatar_split_clause,[],[f197,f530]) ).

fof(f197,plain,
    xk = sdtasdt0(xr,sK6),
    inference(cnf_transformation,[],[f143]) ).

fof(f514,plain,
    spl21_35,
    inference(avatar_split_clause,[],[f280,f512]) ).

fof(f280,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f79,f140,f139]) ).

fof(f79,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( isPrime0(X0)
      <=> ( ! [X1] :
              ( ( doDivides0(X1,X0)
                & aNaturalNumber0(X1) )
             => ( X0 = X1
                | sz10 = X1 ) )
          & sz10 != X0
          & sz00 != X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).

fof(f510,plain,
    ~ spl21_34,
    inference(avatar_split_clause,[],[f259,f507]) ).

fof(f259,plain,
    sz00 != sz10,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f505,plain,
    ~ spl21_33,
    inference(avatar_split_clause,[],[f239,f502]) ).

fof(f239,plain,
    ~ sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f67]) ).

fof(f500,plain,
    ~ spl21_32,
    inference(avatar_split_clause,[],[f237,f497]) ).

fof(f237,plain,
    ~ sdtlseqdt0(xp,xm),
    inference(cnf_transformation,[],[f66]) ).

fof(f495,plain,
    ~ spl21_31,
    inference(avatar_split_clause,[],[f222,f492]) ).

fof(f222,plain,
    sz10 != xp,
    inference(cnf_transformation,[],[f150]) ).

fof(f490,plain,
    ~ spl21_30,
    inference(avatar_split_clause,[],[f221,f487]) ).

fof(f221,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f150]) ).

fof(f485,plain,
    spl21_29,
    inference(avatar_split_clause,[],[f220,f482]) ).

fof(f220,plain,
    sdtlseqdt0(xk,xp),
    inference(cnf_transformation,[],[f148]) ).

fof(f480,plain,
    ~ spl21_28,
    inference(avatar_split_clause,[],[f217,f477]) ).

fof(f217,plain,
    xp != xk,
    inference(cnf_transformation,[],[f148]) ).

fof(f475,plain,
    ~ spl21_27,
    inference(avatar_split_clause,[],[f216,f472]) ).

fof(f216,plain,
    sz10 != xk,
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( sz10 != xk
    & sz00 != xk ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).

fof(f470,plain,
    ~ spl21_26,
    inference(avatar_split_clause,[],[f215,f467]) ).

fof(f215,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f47]) ).

fof(f465,plain,
    spl21_25,
    inference(avatar_split_clause,[],[f214,f462]) ).

fof(f214,plain,
    sdtlseqdt0(xm,xp),
    inference(cnf_transformation,[],[f146]) ).

fof(f460,plain,
    ~ spl21_24,
    inference(avatar_split_clause,[],[f211,f457]) ).

fof(f211,plain,
    xm != xp,
    inference(cnf_transformation,[],[f146]) ).

fof(f455,plain,
    spl21_23,
    inference(avatar_split_clause,[],[f210,f452]) ).

fof(f210,plain,
    sdtlseqdt0(xn,xp),
    inference(cnf_transformation,[],[f146]) ).

fof(f450,plain,
    ~ spl21_22,
    inference(avatar_split_clause,[],[f207,f447]) ).

fof(f207,plain,
    xn != xp,
    inference(cnf_transformation,[],[f146]) ).

fof(f445,plain,
    ~ spl21_21,
    inference(avatar_split_clause,[],[f200,f442]) ).

fof(f200,plain,
    sz10 != xr,
    inference(cnf_transformation,[],[f143]) ).

fof(f440,plain,
    ~ spl21_20,
    inference(avatar_split_clause,[],[f199,f437]) ).

fof(f199,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f143]) ).

fof(f435,plain,
    spl21_19,
    inference(avatar_split_clause,[],[f198,f432]) ).

fof(f198,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f143]) ).

fof(f430,plain,
    ~ spl21_18,
    inference(avatar_split_clause,[],[f330,f427]) ).

fof(f330,plain,
    ~ sP4(sz00),
    inference(equality_resolution,[],[f273]) ).

fof(f273,plain,
    ! [X0] :
      ( sz00 != X0
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f425,plain,
    ~ spl21_17,
    inference(avatar_split_clause,[],[f329,f422]) ).

fof(f329,plain,
    ~ sP4(sz10),
    inference(equality_resolution,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( sz10 != X0
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f420,plain,
    spl21_16,
    inference(avatar_split_clause,[],[f258,f417]) ).

fof(f258,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f415,plain,
    spl21_15,
    inference(avatar_split_clause,[],[f257,f412]) ).

fof(f257,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(f410,plain,
    spl21_14,
    inference(avatar_split_clause,[],[f231,f407]) ).

fof(f231,plain,
    aNaturalNumber0(sK11),
    inference(cnf_transformation,[],[f153]) ).

fof(f405,plain,
    spl21_13,
    inference(avatar_split_clause,[],[f229,f402]) ).

fof(f229,plain,
    aNaturalNumber0(sK12),
    inference(cnf_transformation,[],[f153]) ).

fof(f400,plain,
    spl21_12,
    inference(avatar_split_clause,[],[f226,f397]) ).

fof(f226,plain,
    aNaturalNumber0(sK10),
    inference(cnf_transformation,[],[f150]) ).

fof(f395,plain,
    spl21_11,
    inference(avatar_split_clause,[],[f225,f392]) ).

fof(f225,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f150]) ).

fof(f390,plain,
    spl21_10,
    inference(avatar_split_clause,[],[f218,f387]) ).

fof(f218,plain,
    aNaturalNumber0(sK9),
    inference(cnf_transformation,[],[f148]) ).

fof(f385,plain,
    spl21_9,
    inference(avatar_split_clause,[],[f212,f382]) ).

fof(f212,plain,
    aNaturalNumber0(sK7),
    inference(cnf_transformation,[],[f146]) ).

fof(f380,plain,
    spl21_8,
    inference(avatar_split_clause,[],[f208,f377]) ).

fof(f208,plain,
    aNaturalNumber0(sK8),
    inference(cnf_transformation,[],[f146]) ).

fof(f375,plain,
    spl21_7,
    inference(avatar_split_clause,[],[f206,f372]) ).

fof(f206,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f370,plain,
    spl21_6,
    inference(avatar_split_clause,[],[f205,f367]) ).

fof(f205,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f365,plain,
    spl21_5,
    inference(avatar_split_clause,[],[f204,f362]) ).

fof(f204,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f360,plain,
    spl21_4,
    inference(avatar_split_clause,[],[f203,f357]) ).

fof(f203,plain,
    isPrime0(xr),
    inference(cnf_transformation,[],[f143]) ).

fof(f355,plain,
    spl21_3,
    inference(avatar_split_clause,[],[f196,f352]) ).

fof(f196,plain,
    aNaturalNumber0(sK6),
    inference(cnf_transformation,[],[f143]) ).

fof(f350,plain,
    spl21_2,
    inference(avatar_split_clause,[],[f195,f347]) ).

fof(f195,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f143]) ).

fof(f345,plain,
    spl21_1,
    inference(avatar_split_clause,[],[f192,f342]) ).

fof(f192,plain,
    aNaturalNumber0(xk),
    inference(cnf_transformation,[],[f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM507+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 14:53:38 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (3210)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (3213)WARNING: value z3 for option sas not known
% 0.16/0.33  % (3213)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33  % (3216)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33  % (3215)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33  % (3217)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33  % (3212)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33  % (3211)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33  % (3214)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34  Detected minimum model sizes of [4]
% 0.16/0.34  Detected maximum model sizes of [max]
% 0.16/0.34  TRYING [4]
% 0.16/0.36  Detected minimum model sizes of [4]
% 0.16/0.36  Detected maximum model sizes of [max]
% 0.16/0.37  TRYING [4]
% 0.16/0.46  TRYING [5]
% 2.29/0.67  TRYING [5]
% 3.37/0.80  TRYING [6]
% 7.45/1.46  Detected minimum model sizes of [4]
% 7.45/1.46  Detected maximum model sizes of [max]
% 8.13/1.47  TRYING [4]
% 9.10/1.62  TRYING [7]
% 9.10/1.67  TRYING [6]
% 10.54/1.82  TRYING [5]
% 18.19/2.93  TRYING [6]
% 23.62/3.70  TRYING [8]
% 25.84/4.07  TRYING [7]
% 42.12/6.42  TRYING [7]
% 48.15/7.20  % (3215)First to succeed.
% 48.73/7.28  % (3215)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3210"
% 48.80/7.29  % (3215)Refutation found. Thanks to Tanya!
% 48.80/7.29  % SZS status Theorem for theBenchmark
% 48.80/7.29  % SZS output start Proof for theBenchmark
% See solution above
% 49.08/7.34  % (3215)------------------------------
% 49.08/7.34  % (3215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 49.08/7.34  % (3215)Termination reason: Refutation
% 49.08/7.34  
% 49.08/7.34  % (3215)Memory used [KB]: 59630
% 49.08/7.34  % (3215)Time elapsed: 6.951 s
% 49.08/7.34  % (3215)Instructions burned: 15807 (million)
% 49.08/7.34  % (3210)Success in time 7.011 s
%------------------------------------------------------------------------------