%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM465+1 : 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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 14:23:48 EDT 2024

% Result   : Theorem 36.71s 5.63s
% Output   : Refutation 36.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  820
% Syntax   : Number of formulae    : 3013 (  52 unt;   0 def)
%            Number of atoms       : 13868 (2568 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives : 20087 (9232   ~;9929   |;  90   &)
%                                         ( 797 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  795 ( 793 usr; 792 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   : 3383 (3377   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50679,plain,
    $false,
    inference(avatar_sat_refutation,[],[f143,f148,f153,f158,f163,f168,f173,f177,f182,f186,f190,f194,f198,f202,f206,f234,f238,f255,f259,f267,f271,f275,f279,f283,f300,f320,f324,f328,f332,f348,f352,f356,f382,f386,f401,f405,f410,f418,f422,f442,f446,f450,f454,f459,f463,f467,f499,f512,f516,f520,f533,f538,f543,f548,f553,f558,f695,f700,f705,f710,f715,f720,f725,f828,f832,f836,f840,f873,f887,f891,f895,f899,f903,f907,f978,f985,f1002,f1019,f1023,f1027,f1031,f1035,f1071,f1087,f1091,f1095,f1099,f1103,f1107,f1111,f1115,f1119,f1132,f1200,f1204,f1209,f1213,f1217,f1221,f1225,f1346,f1350,f1354,f1358,f1362,f1408,f1412,f1417,f1421,f1425,f1429,f1514,f1518,f1522,f1526,f1530,f1534,f1538,f1542,f1546,f1771,f1775,f1779,f1783,f1788,f1840,f1844,f1848,f1852,f1856,f1870,f1874,f1887,f1891,f1895,f1899,f2002,f2006,f2022,f2110,f2114,f2154,f2158,f2162,f2166,f2217,f2267,f2271,f2275,f2279,f2320,f2324,f2328,f2332,f2336,f2376,f2380,f2385,f2389,f2393,f2489,f2493,f2497,f2501,f2506,f2602,f2606,f2682,f2686,f2816,f2820,f2824,f2828,f2832,f2836,f3031,f3035,f3159,f3163,f3189,f3193,f3332,f3359,f3386,f3391,f3396,f3401,f3406,f3515,f3606,f3643,f3648,f3653,f3658,f3663,f3668,f3804,f3808,f3812,f3816,f3820,f3825,f3829,f3833,f3837,f3842,f3848,f3854,f3862,f3867,f3962,f3967,f3971,f3975,f3979,f3983,f3987,f3991,f3995,f3999,f4003,f4007,f4012,f4016,f4021,f4027,f4101,f4191,f4324,f4329,f4339,f4343,f4347,f4351,f4355,f4359,f4363,f4367,f4371,f4376,f4380,f4384,f4388,f4392,f4396,f4400,f4404,f4409,f4433,f4438,f4462,f4486,f4509,f4513,f4517,f4521,f4525,f4530,f4534,f4538,f4542,f4546,f4550,f4554,f4558,f4595,f4926,f4930,f4934,f4938,f4942,f4947,f4951,f4955,f4959,f4963,f4967,f4971,f4975,f4979,f4983,f4987,f4992,f4996,f5000,f5004,f5008,f5012,f5016,f5020,f5024,f5028,f5032,f5055,f5059,f5063,f5067,f5071,f5075,f5079,f5084,f5109,f5591,f5607,f5611,f5615,f5619,f5623,f5627,f5650,f5654,f5658,f5662,f5666,f5670,f5675,f5708,f5761,f5788,f5815,f5848,f5882,f5928,f5954,f5958,f5962,f5966,f5970,f5974,f5987,f5992,f6017,f6070,f6074,f6078,f6082,f6086,f6091,f6096,f6272,f6505,f6764,f6768,f6773,f6809,f6813,f6817,f6821,f6825,f6829,f6858,f6978,f6988,f6999,f7003,f7012,f7023,f7037,f7043,f7078,f7085,f7149,f7213,f7228,f7260,f7275,f7280,f7284,f7288,f7292,f7660,f7664,f7668,f7672,f7676,f7680,f7684,f7688,f7713,f7718,f7722,f7726,f7730,f7734,f7738,f7742,f7747,f7751,f7755,f7759,f7763,f7767,f7771,f7775,f7779,f7783,f7787,f7792,f7796,f7800,f7804,f7872,f8048,f8235,f8279,f8322,f8368,f8415,f8440,f8451,f8455,f8459,f8463,f8467,f8471,f8475,f8480,f8484,f8488,f8492,f8496,f8500,f8504,f8508,f8512,f8516,f8520,f8543,f8547,f8551,f8555,f8559,f8563,f8567,f8571,f8575,f8579,f8597,f8601,f8605,f8609,f8613,f8663,f9159,f9233,f9237,f9241,f9258,f9262,f9266,f9270,f9274,f9987,f10028,f10067,f10109,f10172,f10212,f10250,f10292,f10336,f10408,f10451,f10489,f10529,f10582,f10644,f10683,f10724,f10731,f10742,f10804,f10918,f10929,f10940,f10947,f10958,f10976,f10994,f11012,f11030,f11036,f11103,f11307,f11313,f11386,f11431,f11475,f11528,f11574,f11579,f11619,f11658,f11671,f11675,f11688,f11692,f11736,f11740,f11753,f12001,f12006,f12010,f12014,f12018,f12022,f12026,f12030,f12034,f12042,f12142,f12796,f12847,f12918,f12969,f13021,f13025,f13029,f13033,f13037,f13060,f13064,f13068,f13072,f13076,f13080,f13084,f13088,f13092,f13096,f13105,f13109,f13113,f13117,f13121,f13125,f13129,f13133,f13137,f13141,f13145,f13151,f13155,f13159,f13354,f13864,f16178,f16182,f16186,f16190,f16194,f16198,f16202,f16207,f16211,f16215,f16219,f16223,f16227,f16231,f16235,f16239,f16243,f16247,f16252,f16256,f16260,f16264,f16268,f16272,f16276,f16280,f16284,f16299,f16304,f16319,f16334,f16349,f16364,f16379,f16384,f16399,f16492,f16607,f17408,f17475,f17480,f17544,f17820,f17827,f17956,f18052,f18177,f18240,f18435,f18528,f18723,f18815,f18901,f18994,f19080,f19085,f19218,f19473,f19559,f19647,f19652,f19774,f20008,f20101,f20187,f20195,f20327,f20598,f20605,f20612,f20619,f20624,f21600,f21605,f21609,f21831,f21935,f21940,f22007,f22241,f22246,f22310,f22314,f22318,f22322,f22326,f22330,f22334,f22338,f22342,f22375,f22379,f22383,f22387,f22391,f22395,f22399,f22475,f22702,f22706,f22710,f22761,f22765,f22769,f22773,f22777,f22781,f22785,f22789,f22793,f22797,f22798,f22960,f22964,f22968,f22972,f23168,f23532,f23537,f23542,f23546,f23550,f23555,f23560,f23561,f23687,f23691,f23696,f23798,f23888,f23924,f24025,f24733,f24738,f25216,f25218,f25333,f27874,f27879,f29944,f29949,f30174,f30522,f30554,f33512,f35569,f35658,f36258,f36323,f36327,f36332,f36496,f36501,f36657,f36661,f36665,f36667,f36805,f36809,f36814,f36818,f36823,f36827,f36832,f36836,f36840,f36841,f36846,f36850,f37019,f37868,f37870,f39359,f39864,f40019,f40105,f40109,f40460,f40527,f40987,f40991,f40995,f40999,f41003,f41008,f41239,f42470,f42474,f42478,f42482,f42487,f42881,f42886,f43164,f43169,f43451,f43456,f43734,f43735,f43868,f43872,f43876,f43880,f43885,f44167,f44172,f44492,f44497,f44779,f44784,f45062,f45067,f45258,f45260,f45269,f45460,f45465,f45584,f45589,f45708,f45713,f45718,f45837,f45842,f49288,f49292,f49296,f49300,f49305,f49310,f49314,f49318,f49322,f49326,f49330,f49334,f49338,f49342,f49363,f49368,f49388,f49408,f49493,f49655,f49659,f49664,f50299,f50303,f50307,f50311,f50315,f50319,f50323,f50328,f50333,f50334,f50615,f50619,f50623,f50627,f50631,f50636,f50656,f50661,f50678]) ).

fof(f50678,plain,
    ( spl1_679
    | ~ spl1_51
    | ~ spl1_333
    | ~ spl1_771 ),
    inference(avatar_split_clause,[],[f49494,f49490,f5984,f530,f25330]) ).

fof(f25330,plain,
    ( spl1_679
  <=> xn = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_679])]) ).

fof(f530,plain,
    ( spl1_51
  <=> xm = sdtpldt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).

fof(f5984,plain,
    ( spl1_333
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_333])]) ).

fof(f49490,plain,
    ( spl1_771
  <=> xn = sdtasdt0(xn,sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_771])]) ).

fof(f49494,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_51
    | ~ spl1_333
    | ~ spl1_771 ),
    inference(forward_demodulation,[],[f49492,f36677]) ).

fof(f36677,plain,
    ( xm = sdtpldt0(xn,xm)
    | ~ spl1_51
    | ~ spl1_333 ),
    inference(superposition,[],[f532,f5986]) ).

fof(f5986,plain,
    ( sz00 = xn
    | ~ spl1_333 ),
    inference(avatar_component_clause,[],[f5984]) ).

fof(f532,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl1_51 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f49492,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xn,xm))
    | ~ spl1_771 ),
    inference(avatar_component_clause,[],[f49490]) ).

fof(f50661,plain,
    ( spl1_791
    | ~ spl1_333
    | ~ spl1_790 ),
    inference(avatar_split_clause,[],[f50657,f50654,f5984,f50659]) ).

fof(f50659,plain,
    ( spl1_791
  <=> ! [X0,X1] :
        ( xn = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_791])]) ).

fof(f50654,plain,
    ( spl1_790
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_790])]) ).

fof(f50657,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1) )
    | ~ spl1_333
    | ~ spl1_790 ),
    inference(forward_demodulation,[],[f50655,f5986]) ).

fof(f50655,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1) )
    | ~ spl1_790 ),
    inference(avatar_component_clause,[],[f50654]) ).

fof(f50656,plain,
    ( ~ spl1_6
    | spl1_790
    | ~ spl1_20
    | ~ spl1_144 ),
    inference(avatar_split_clause,[],[f2205,f2156,f265,f50654,f165]) ).

fof(f165,plain,
    ( spl1_6
  <=> aNaturalNumber0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f265,plain,
    ( spl1_20
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).

fof(f2156,plain,
    ( spl1_144
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_144])]) ).

fof(f2205,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1)
        | ~ aNaturalNumber0(X1)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_144 ),
    inference(duplicate_literal_removal,[],[f2200]) ).

fof(f2200,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtasdt0(X1,sK0(sz10,X0)) = sdtasdt0(sK0(sz10,X0),X1)
        | ~ aNaturalNumber0(X1)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_144 ),
    inference(resolution,[],[f2157,f266]) ).

fof(f266,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f2157,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_144 ),
    inference(avatar_component_clause,[],[f2156]) ).

fof(f50636,plain,
    ( spl1_789
    | ~ spl1_333
    | ~ spl1_788 ),
    inference(avatar_split_clause,[],[f50632,f50629,f5984,f50634]) ).

fof(f50634,plain,
    ( spl1_789
  <=> ! [X0,X1] :
        ( xn = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_789])]) ).

fof(f50629,plain,
    ( spl1_788
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_788])]) ).

fof(f50632,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1) )
    | ~ spl1_333
    | ~ spl1_788 ),
    inference(forward_demodulation,[],[f50630,f5986]) ).

fof(f50630,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1) )
    | ~ spl1_788 ),
    inference(avatar_component_clause,[],[f50629]) ).

fof(f50631,plain,
    ( ~ spl1_6
    | spl1_788
    | ~ spl1_20
    | ~ spl1_143 ),
    inference(avatar_split_clause,[],[f2182,f2152,f265,f50629,f165]) ).

fof(f2152,plain,
    ( spl1_143
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_143])]) ).

fof(f2182,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1)
        | ~ aNaturalNumber0(X1)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_143 ),
    inference(duplicate_literal_removal,[],[f2177]) ).

fof(f2177,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(X1,sK0(sz10,X0)) = sdtpldt0(sK0(sz10,X0),X1)
        | ~ aNaturalNumber0(X1)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_143 ),
    inference(resolution,[],[f2153,f266]) ).

fof(f2153,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_143 ),
    inference(avatar_component_clause,[],[f2152]) ).

fof(f50627,plain,
    ( spl1_787
    | ~ spl1_28
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2096,f2020,f326,f50625]) ).

fof(f50625,plain,
    ( spl1_787
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtpldt0(X1,X2) = X0
        | ~ sdtlseqdt0(sdtpldt0(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_787])]) ).

fof(f326,plain,
    ( spl1_28
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ sdtlseqdt0(X1,X0)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).

fof(f2020,plain,
    ( spl1_140
  <=> ! [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,[spl1_140])]) ).

fof(f2096,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtpldt0(X1,X2) = X0
        | ~ sdtlseqdt0(sdtpldt0(X1,X2),X0) )
    | ~ spl1_28
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2045]) ).

fof(f2045,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtpldt0(X1,X2) = X0
        | ~ sdtlseqdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2)) )
    | ~ spl1_28
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f327]) ).

fof(f327,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X1,X0)
        | X0 = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_28 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f2021,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_140 ),
    inference(avatar_component_clause,[],[f2020]) ).

fof(f50623,plain,
    ( spl1_786
    | ~ spl1_34
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2093,f2020,f384,f50621]) ).

fof(f50621,plain,
    ( spl1_786
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X3,X0)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_786])]) ).

fof(f384,plain,
    ( spl1_34
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X1,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).

fof(f2093,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X3,X0)
        | ~ aNaturalNumber0(X3) )
    | ~ spl1_34
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2048]) ).

fof(f2048,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3) )
    | ~ spl1_34
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f385]) ).

fof(f385,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_34 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f50619,plain,
    ( spl1_785
    | ~ spl1_108
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2088,f2020,f1406,f50617]) ).

fof(f50617,plain,
    ( spl1_785
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X3)
        | ~ aNaturalNumber0(X3)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_785])]) ).

fof(f1406,plain,
    ( spl1_108
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_108])]) ).

fof(f2088,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X3)
        | ~ aNaturalNumber0(X3)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2)) )
    | ~ spl1_108
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2053]) ).

fof(f2053,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X3,sdtpldt0(X1,X2)) )
    | ~ spl1_108
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f1407]) ).

fof(f1407,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X2)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2) )
    | ~ spl1_108 ),
    inference(avatar_component_clause,[],[f1406]) ).

fof(f50615,plain,
    ( spl1_784
    | ~ spl1_17
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1963,f1889,f236,f50613]) ).

fof(f50613,plain,
    ( spl1_784
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_784])]) ).

fof(f236,plain,
    ( spl1_17
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

fof(f1889,plain,
    ( spl1_135
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_135])]) ).

fof(f1963,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f237]) ).

fof(f237,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f1890,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_135 ),
    inference(avatar_component_clause,[],[f1889]) ).

fof(f50334,plain,
    ( spl1_685
    | ~ spl1_51
    | ~ spl1_333
    | ~ spl1_767 ),
    inference(avatar_split_clause,[],[f49364,f49360,f5984,f530,f30551]) ).

fof(f30551,plain,
    ( spl1_685
  <=> xn = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_685])]) ).

fof(f49360,plain,
    ( spl1_767
  <=> xn = sdtasdt0(sdtpldt0(xn,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_767])]) ).

fof(f49364,plain,
    ( xn = sdtasdt0(xm,xn)
    | ~ spl1_51
    | ~ spl1_333
    | ~ spl1_767 ),
    inference(forward_demodulation,[],[f49362,f36677]) ).

fof(f49362,plain,
    ( xn = sdtasdt0(sdtpldt0(xn,xm),xn)
    | ~ spl1_767 ),
    inference(avatar_component_clause,[],[f49360]) ).

fof(f50333,plain,
    ( spl1_783
    | ~ spl1_16
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1962,f1889,f232,f50331]) ).

fof(f50331,plain,
    ( spl1_783
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_783])]) ).

fof(f232,plain,
    ( spl1_16
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).

fof(f1962,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f233]) ).

fof(f233,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f50328,plain,
    ( spl1_782
    | ~ spl1_17
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1949,f1885,f236,f50326]) ).

fof(f50326,plain,
    ( spl1_782
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_782])]) ).

fof(f1885,plain,
    ( spl1_134
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_134])]) ).

fof(f1949,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f237]) ).

fof(f1886,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_134 ),
    inference(avatar_component_clause,[],[f1885]) ).

fof(f50323,plain,
    ( spl1_781
    | ~ spl1_16
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1948,f1885,f232,f50321]) ).

fof(f50321,plain,
    ( spl1_781
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_781])]) ).

fof(f1948,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f233]) ).

fof(f50319,plain,
    ( spl1_780
    | ~ spl1_17
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1930,f1850,f236,f50317]) ).

fof(f50317,plain,
    ( spl1_780
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_780])]) ).

fof(f1850,plain,
    ( spl1_130
  <=> ! [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,[spl1_130])]) ).

fof(f1930,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_17
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f237]) ).

fof(f1851,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_130 ),
    inference(avatar_component_clause,[],[f1850]) ).

fof(f50315,plain,
    ( spl1_779
    | ~ spl1_16
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1929,f1850,f232,f50313]) ).

fof(f50313,plain,
    ( spl1_779
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_779])]) ).

fof(f1929,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_16
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f233]) ).

fof(f50311,plain,
    ( spl1_778
    | ~ spl1_17
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1921,f1846,f236,f50309]) ).

fof(f50309,plain,
    ( spl1_778
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_778])]) ).

fof(f1846,plain,
    ( spl1_129
  <=> ! [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,[spl1_129])]) ).

fof(f1921,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_17
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f237]) ).

fof(f1847,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_129 ),
    inference(avatar_component_clause,[],[f1846]) ).

fof(f50307,plain,
    ( spl1_777
    | ~ spl1_16
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1920,f1846,f232,f50305]) ).

fof(f50305,plain,
    ( spl1_777
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_777])]) ).

fof(f1920,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_16
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f233]) ).

fof(f50303,plain,
    ( spl1_776
    | ~ spl1_17
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1912,f1842,f236,f50301]) ).

fof(f50301,plain,
    ( spl1_776
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_776])]) ).

fof(f1842,plain,
    ( spl1_128
  <=> ! [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,[spl1_128])]) ).

fof(f1912,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_17
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f237]) ).

fof(f1843,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_128 ),
    inference(avatar_component_clause,[],[f1842]) ).

fof(f50299,plain,
    ( spl1_775
    | ~ spl1_16
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1911,f1842,f232,f50297]) ).

fof(f50297,plain,
    ( spl1_775
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_775])]) ).

fof(f1911,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_16
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f233]) ).

fof(f49664,plain,
    ( spl1_774
    | ~ spl1_185
    | ~ spl1_333
    | ~ spl1_402
    | ~ spl1_685 ),
    inference(avatar_split_clause,[],[f41683,f30551,f7789,f5984,f3383,f49661]) ).

fof(f49661,plain,
    ( spl1_774
  <=> xn = sdtasdt0(xn,sK0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_774])]) ).

fof(f3383,plain,
    ( spl1_185
  <=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_185])]) ).

fof(f7789,plain,
    ( spl1_402
  <=> sz00 = sdtasdt0(sz00,sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_402])]) ).

fof(f41683,plain,
    ( xn = sdtasdt0(xn,sK0(xn,xn))
    | ~ spl1_185
    | ~ spl1_333
    | ~ spl1_402
    | ~ spl1_685 ),
    inference(forward_demodulation,[],[f36726,f39938]) ).

fof(f39938,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_185
    | ~ spl1_685 ),
    inference(superposition,[],[f3385,f30553]) ).

fof(f30553,plain,
    ( xn = sdtasdt0(xm,xn)
    | ~ spl1_685 ),
    inference(avatar_component_clause,[],[f30551]) ).

fof(f3385,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
    | ~ spl1_185 ),
    inference(avatar_component_clause,[],[f3383]) ).

fof(f36726,plain,
    ( xn = sdtasdt0(xn,sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_333
    | ~ spl1_402 ),
    inference(superposition,[],[f7791,f5986]) ).

fof(f7791,plain,
    ( sz00 = sdtasdt0(sz00,sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_402 ),
    inference(avatar_component_clause,[],[f7789]) ).

fof(f49659,plain,
    ( spl1_773
    | ~ spl1_17
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1903,f1838,f236,f49657]) ).

fof(f49657,plain,
    ( spl1_773
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_773])]) ).

fof(f1838,plain,
    ( spl1_127
  <=> ! [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,[spl1_127])]) ).

fof(f1903,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_17
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f237]) ).

fof(f1839,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_127 ),
    inference(avatar_component_clause,[],[f1838]) ).

fof(f49655,plain,
    ( spl1_772
    | ~ spl1_16
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1902,f1838,f232,f49653]) ).

fof(f49653,plain,
    ( spl1_772
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_772])]) ).

fof(f1902,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_16
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f233]) ).

fof(f49493,plain,
    ( spl1_771
    | ~ spl1_30
    | ~ spl1_97
    | ~ spl1_213
    | ~ spl1_333 ),
    inference(avatar_split_clause,[],[f32739,f5984,f3964,f1206,f345,f49490]) ).

fof(f345,plain,
    ( spl1_30
  <=> sz00 = sdtasdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).

fof(f1206,plain,
    ( spl1_97
  <=> sdtpldt0(xn,xm) = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_97])]) ).

fof(f3964,plain,
    ( spl1_213
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_213])]) ).

fof(f32739,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xn,xm))
    | ~ spl1_30
    | ~ spl1_97
    | ~ spl1_213
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6601,f1208]) ).

fof(f1208,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
    | ~ spl1_97 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f6601,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xm,xn))
    | ~ spl1_30
    | ~ spl1_213
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6575,f6551]) ).

fof(f6551,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_30
    | ~ spl1_333 ),
    inference(superposition,[],[f347,f5986]) ).

fof(f347,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl1_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f6575,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_213
    | ~ spl1_333 ),
    inference(superposition,[],[f3966,f5986]) ).

fof(f3966,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_213 ),
    inference(avatar_component_clause,[],[f3964]) ).

fof(f49408,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_770
    | ~ spl1_9
    | ~ spl1_161 ),
    inference(avatar_split_clause,[],[f2472,f2391,f179,f49406,f150,f165]) ).

fof(f150,plain,
    ( spl1_3
  <=> aNaturalNumber0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f49406,plain,
    ( spl1_770
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X0),sK0(sz10,xm)) = sdtasdt0(X1,sdtasdt0(X0,sK0(sz10,xm)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_770])]) ).

fof(f179,plain,
    ( spl1_9
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f2391,plain,
    ( spl1_161
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_161])]) ).

fof(f2472,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK0(sz10,xm)) = sdtasdt0(X1,sdtasdt0(X0,sK0(sz10,xm)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_9
    | ~ spl1_161 ),
    inference(resolution,[],[f2392,f181]) ).

fof(f181,plain,
    ( sdtlseqdt0(sz10,xm)
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f2392,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sK0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_161 ),
    inference(avatar_component_clause,[],[f2391]) ).

fof(f49388,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_769
    | ~ spl1_9
    | ~ spl1_160 ),
    inference(avatar_split_clause,[],[f2449,f2387,f179,f49386,f150,f165]) ).

fof(f49386,plain,
    ( spl1_769
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(xm,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(xm,sz10)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_769])]) ).

fof(f2387,plain,
    ( spl1_160
  <=> ! [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,[spl1_160])]) ).

fof(f2449,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(xm,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(xm,sz10)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_9
    | ~ spl1_160 ),
    inference(resolution,[],[f2388,f181]) ).

fof(f2388,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sdtmndt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl1_160 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f49368,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_768
    | ~ spl1_9
    | ~ spl1_158 ),
    inference(avatar_split_clause,[],[f2426,f2378,f179,f49366,f150,f165]) ).

fof(f49366,plain,
    ( spl1_768
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X0),sK0(sz10,xm)) = sdtpldt0(X1,sdtpldt0(X0,sK0(sz10,xm)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_768])]) ).

fof(f2378,plain,
    ( spl1_158
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_158])]) ).

fof(f2426,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK0(sz10,xm)) = sdtpldt0(X1,sdtpldt0(X0,sK0(sz10,xm)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_9
    | ~ spl1_158 ),
    inference(resolution,[],[f2379,f181]) ).

fof(f2379,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sK0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_158 ),
    inference(avatar_component_clause,[],[f2378]) ).

fof(f49363,plain,
    ( spl1_767
    | ~ spl1_30
    | ~ spl1_97
    | ~ spl1_228
    | ~ spl1_333 ),
    inference(avatar_split_clause,[],[f32737,f5984,f4098,f1206,f345,f49360]) ).

fof(f4098,plain,
    ( spl1_228
  <=> sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_228])]) ).

fof(f32737,plain,
    ( xn = sdtasdt0(sdtpldt0(xn,xm),xn)
    | ~ spl1_30
    | ~ spl1_97
    | ~ spl1_228
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6606,f1208]) ).

fof(f6606,plain,
    ( xn = sdtasdt0(sdtpldt0(xm,xn),xn)
    | ~ spl1_30
    | ~ spl1_228
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6578,f6551]) ).

fof(f6578,plain,
    ( xn = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),xn)
    | ~ spl1_228
    | ~ spl1_333 ),
    inference(superposition,[],[f4100,f5986]) ).

fof(f4100,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_228 ),
    inference(avatar_component_clause,[],[f4098]) ).

fof(f49342,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_766
    | ~ spl1_9
    | ~ spl1_157 ),
    inference(avatar_split_clause,[],[f2403,f2374,f179,f49340,f150,f165]) ).

fof(f49340,plain,
    ( spl1_766
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(xm,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(xm,sz10)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_766])]) ).

fof(f2374,plain,
    ( spl1_157
  <=> ! [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,[spl1_157])]) ).

fof(f2403,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(xm,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(xm,sz10)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_9
    | ~ spl1_157 ),
    inference(resolution,[],[f2375,f181]) ).

fof(f2375,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl1_157 ),
    inference(avatar_component_clause,[],[f2374]) ).

fof(f49338,plain,
    ( spl1_765
    | ~ spl1_4
    | ~ spl1_156 ),
    inference(avatar_split_clause,[],[f2371,f2334,f155,f49336]) ).

fof(f49336,plain,
    ( spl1_765
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_765])]) ).

fof(f155,plain,
    ( spl1_4
  <=> aNaturalNumber0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f2334,plain,
    ( spl1_156
  <=> ! [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,[spl1_156])]) ).

fof(f2371,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_156 ),
    inference(resolution,[],[f2335,f157]) ).

fof(f157,plain,
    ( aNaturalNumber0(xn)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f2335,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_156 ),
    inference(avatar_component_clause,[],[f2334]) ).

fof(f49334,plain,
    ( spl1_764
    | ~ spl1_3
    | ~ spl1_156 ),
    inference(avatar_split_clause,[],[f2370,f2334,f150,f49332]) ).

fof(f49332,plain,
    ( spl1_764
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_764])]) ).

fof(f2370,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_156 ),
    inference(resolution,[],[f2335,f152]) ).

fof(f152,plain,
    ( aNaturalNumber0(xm)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f49330,plain,
    ( spl1_763
    | ~ spl1_4
    | ~ spl1_155 ),
    inference(avatar_split_clause,[],[f2362,f2330,f155,f49328]) ).

fof(f49328,plain,
    ( spl1_763
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_763])]) ).

fof(f2330,plain,
    ( spl1_155
  <=> ! [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,[spl1_155])]) ).

fof(f2362,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_155 ),
    inference(resolution,[],[f2331,f157]) ).

fof(f2331,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_155 ),
    inference(avatar_component_clause,[],[f2330]) ).

fof(f49326,plain,
    ( spl1_762
    | ~ spl1_3
    | ~ spl1_155 ),
    inference(avatar_split_clause,[],[f2361,f2330,f150,f49324]) ).

fof(f49324,plain,
    ( spl1_762
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_762])]) ).

fof(f2361,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_155 ),
    inference(resolution,[],[f2331,f152]) ).

fof(f49322,plain,
    ( spl1_761
    | ~ spl1_4
    | ~ spl1_154 ),
    inference(avatar_split_clause,[],[f2353,f2326,f155,f49320]) ).

fof(f49320,plain,
    ( spl1_761
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_761])]) ).

fof(f2326,plain,
    ( spl1_154
  <=> ! [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,[spl1_154])]) ).

fof(f2353,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_154 ),
    inference(resolution,[],[f2327,f157]) ).

fof(f2327,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_154 ),
    inference(avatar_component_clause,[],[f2326]) ).

fof(f49318,plain,
    ( spl1_760
    | ~ spl1_3
    | ~ spl1_154 ),
    inference(avatar_split_clause,[],[f2352,f2326,f150,f49316]) ).

fof(f49316,plain,
    ( spl1_760
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_760])]) ).

fof(f2352,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_154 ),
    inference(resolution,[],[f2327,f152]) ).

fof(f49314,plain,
    ( spl1_759
    | ~ spl1_4
    | ~ spl1_153 ),
    inference(avatar_split_clause,[],[f2344,f2322,f155,f49312]) ).

fof(f49312,plain,
    ( spl1_759
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_759])]) ).

fof(f2322,plain,
    ( spl1_153
  <=> ! [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,[spl1_153])]) ).

fof(f2344,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_153 ),
    inference(resolution,[],[f2323,f157]) ).

fof(f2323,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_153 ),
    inference(avatar_component_clause,[],[f2322]) ).

fof(f49310,plain,
    ( spl1_758
    | ~ spl1_3
    | ~ spl1_153 ),
    inference(avatar_split_clause,[],[f2343,f2322,f150,f49308]) ).

fof(f49308,plain,
    ( spl1_758
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_758])]) ).

fof(f2343,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_153 ),
    inference(resolution,[],[f2323,f152]) ).

fof(f49305,plain,
    ( spl1_757
    | ~ spl1_30
    | ~ spl1_184
    | ~ spl1_273
    | ~ spl1_333 ),
    inference(avatar_split_clause,[],[f32723,f5984,f4944,f3356,f345,f49302]) ).

fof(f49302,plain,
    ( spl1_757
  <=> xn = sdtasdt0(xn,sdtpldt0(xn,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_757])]) ).

fof(f3356,plain,
    ( spl1_184
  <=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_184])]) ).

fof(f4944,plain,
    ( spl1_273
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_273])]) ).

fof(f32723,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xn,sz10))
    | ~ spl1_30
    | ~ spl1_184
    | ~ spl1_273
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6621,f3358]) ).

fof(f3358,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
    | ~ spl1_184 ),
    inference(avatar_component_clause,[],[f3356]) ).

fof(f6621,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(sz10,xn))
    | ~ spl1_30
    | ~ spl1_273
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6589,f6551]) ).

fof(f6589,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(sz10,sdtasdt0(xn,xm)))
    | ~ spl1_273
    | ~ spl1_333 ),
    inference(superposition,[],[f4946,f5986]) ).

fof(f4946,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xm)))
    | ~ spl1_273 ),
    inference(avatar_component_clause,[],[f4944]) ).

fof(f49300,plain,
    ( spl1_756
    | ~ spl1_17
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1804,f1773,f236,f49298]) ).

fof(f49298,plain,
    ( spl1_756
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_756])]) ).

fof(f1773,plain,
    ( spl1_123
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_123])]) ).

fof(f1804,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f237]) ).

fof(f1774,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_123 ),
    inference(avatar_component_clause,[],[f1773]) ).

fof(f49296,plain,
    ( spl1_755
    | ~ spl1_16
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1803,f1773,f232,f49294]) ).

fof(f49294,plain,
    ( spl1_755
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_755])]) ).

fof(f1803,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f233]) ).

fof(f49292,plain,
    ( spl1_754
    | ~ spl1_17
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1792,f1769,f236,f49290]) ).

fof(f49290,plain,
    ( spl1_754
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_754])]) ).

fof(f1769,plain,
    ( spl1_122
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_122])]) ).

fof(f1792,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f237]) ).

fof(f1770,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_122 ),
    inference(avatar_component_clause,[],[f1769]) ).

fof(f49288,plain,
    ( spl1_753
    | ~ spl1_16
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1791,f1769,f232,f49286]) ).

fof(f49286,plain,
    ( spl1_753
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_753])]) ).

fof(f1791,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f233]) ).

fof(f45842,plain,
    ( spl1_752
    | ~ spl1_333
    | ~ spl1_751 ),
    inference(avatar_split_clause,[],[f45838,f45835,f5984,f45840]) ).

fof(f45840,plain,
    ( spl1_752
  <=> ! [X2,X0,X1] :
        ( xn = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_752])]) ).

fof(f45835,plain,
    ( spl1_751
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_751])]) ).

fof(f45838,plain,
    ( ! [X2,X0,X1] :
        ( xn = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_751 ),
    inference(forward_demodulation,[],[f45836,f5986]) ).

fof(f45836,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),sz00) )
    | ~ spl1_751 ),
    inference(avatar_component_clause,[],[f45835]) ).

fof(f45837,plain,
    ( spl1_751
    | ~ spl1_95
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2092,f2020,f1198,f45835]) ).

fof(f1198,plain,
    ( spl1_95
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).

fof(f2092,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),sz00) )
    | ~ spl1_95
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2049]) ).

fof(f2049,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X1,X2)),sz00) )
    | ~ spl1_95
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f1199]) ).

fof(f1199,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_95 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f45718,plain,
    ( ~ spl1_4
    | spl1_750
    | ~ spl1_25
    | ~ spl1_79
    | ~ spl1_115
    | ~ spl1_187
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f35328,f19649,f3393,f1520,f1016,f297,f45715,f155]) ).

fof(f45715,plain,
    ( spl1_750
  <=> xn = sK0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_750])]) ).

fof(f297,plain,
    ( spl1_25
  <=> sz00 = sdtasdt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).

fof(f1016,plain,
    ( spl1_79
  <=> sdtlseqdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).

fof(f1520,plain,
    ( spl1_115
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_115])]) ).

fof(f3393,plain,
    ( spl1_187
  <=> xn = sdtpldt0(xn,sK0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_187])]) ).

fof(f19649,plain,
    ( spl1_612
  <=> xn = sdtasdt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_612])]) ).

fof(f35328,plain,
    ( xn = sK0(xn,xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_25
    | ~ spl1_79
    | ~ spl1_115
    | ~ spl1_187
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f35327,f3395]) ).

fof(f3395,plain,
    ( xn = sdtpldt0(xn,sK0(xn,xn))
    | ~ spl1_187 ),
    inference(avatar_component_clause,[],[f3393]) ).

fof(f35327,plain,
    ( sK0(xn,xn) = sdtpldt0(xn,sK0(xn,xn))
    | ~ aNaturalNumber0(xn)
    | ~ spl1_25
    | ~ spl1_79
    | ~ spl1_115
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f30667,f22343]) ).

fof(f22343,plain,
    ( sz00 = xn
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(superposition,[],[f19651,f299]) ).

fof(f299,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl1_25 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f19651,plain,
    ( xn = sdtasdt0(xn,sz00)
    | ~ spl1_612 ),
    inference(avatar_component_clause,[],[f19649]) ).

fof(f30667,plain,
    ( ~ aNaturalNumber0(xn)
    | sK0(sz00,xn) = sdtpldt0(sz00,sK0(sz00,xn))
    | ~ spl1_25
    | ~ spl1_79
    | ~ spl1_115
    | ~ spl1_612 ),
    inference(duplicate_literal_removal,[],[f28041]) ).

fof(f28041,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | sK0(sz00,xn) = sdtpldt0(sz00,sK0(sz00,xn))
    | ~ spl1_25
    | ~ spl1_79
    | ~ spl1_115
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f1575,f22343]) ).

fof(f1575,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | sK0(sz00,xn) = sdtpldt0(sz00,sK0(sz00,xn))
    | ~ spl1_79
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f1018]) ).

fof(f1018,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ spl1_79 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1521,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) )
    | ~ spl1_115 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f45713,plain,
    ( spl1_749
    | ~ spl1_333
    | ~ spl1_748 ),
    inference(avatar_split_clause,[],[f45709,f45706,f5984,f45711]) ).

fof(f45711,plain,
    ( spl1_749
  <=> ! [X2,X0,X1] :
        ( xn = sdtasdt0(xn,sK0(X0,sdtpldt0(X1,X2)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_749])]) ).

fof(f45706,plain,
    ( spl1_748
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X1,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_748])]) ).

fof(f45709,plain,
    ( ! [X2,X0,X1] :
        ( xn = sdtasdt0(xn,sK0(X0,sdtpldt0(X1,X2)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_748 ),
    inference(forward_demodulation,[],[f45707,f5986]) ).

fof(f45707,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X1,X2))) )
    | ~ spl1_748 ),
    inference(avatar_component_clause,[],[f45706]) ).

fof(f45708,plain,
    ( spl1_748
    | ~ spl1_96
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2091,f2020,f1202,f45706]) ).

fof(f1202,plain,
    ( spl1_96
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_96])]) ).

fof(f2091,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X1,X2))) )
    | ~ spl1_96
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2050]) ).

fof(f2050,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X1,X2))) )
    | ~ spl1_96
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f1203]) ).

fof(f1203,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_96 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f45589,plain,
    ( spl1_747
    | ~ spl1_333
    | ~ spl1_746 ),
    inference(avatar_split_clause,[],[f45585,f45582,f5984,f45587]) ).

fof(f45587,plain,
    ( spl1_747
  <=> ! [X2,X0,X1] :
        ( xn = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_747])]) ).

fof(f45582,plain,
    ( spl1_746
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_746])]) ).

fof(f45585,plain,
    ( ! [X2,X0,X1] :
        ( xn = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_746 ),
    inference(forward_demodulation,[],[f45583,f5986]) ).

fof(f45583,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),sz00) )
    | ~ spl1_746 ),
    inference(avatar_component_clause,[],[f45582]) ).

fof(f45584,plain,
    ( spl1_746
    | ~ spl1_98
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2090,f2020,f1211,f45582]) ).

fof(f1211,plain,
    ( spl1_98
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_98])]) ).

fof(f2090,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),sz00) )
    | ~ spl1_98
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2051]) ).

fof(f2051,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X1,X2),X0),sz00) )
    | ~ spl1_98
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f1212]) ).

fof(f1212,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_98 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f45465,plain,
    ( spl1_745
    | ~ spl1_333
    | ~ spl1_744 ),
    inference(avatar_split_clause,[],[f45461,f45458,f5984,f45463]) ).

fof(f45463,plain,
    ( spl1_745
  <=> ! [X2,X0,X1] :
        ( xn = sdtasdt0(xn,sdtmndt0(sdtpldt0(X1,X2),X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_745])]) ).

fof(f45458,plain,
    ( spl1_744
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X1,X2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_744])]) ).

fof(f45461,plain,
    ( ! [X2,X0,X1] :
        ( xn = sdtasdt0(xn,sdtmndt0(sdtpldt0(X1,X2),X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_744 ),
    inference(forward_demodulation,[],[f45459,f5986]) ).

fof(f45459,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X1,X2),X0)) )
    | ~ spl1_744 ),
    inference(avatar_component_clause,[],[f45458]) ).

fof(f45460,plain,
    ( spl1_744
    | ~ spl1_99
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2089,f2020,f1215,f45458]) ).

fof(f1215,plain,
    ( spl1_99
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_99])]) ).

fof(f2089,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X1,X2),X0)) )
    | ~ spl1_99
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2052]) ).

fof(f2052,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X1,X2),X0)) )
    | ~ spl1_99
    | ~ spl1_140 ),
    inference(resolution,[],[f2021,f1216]) ).

fof(f1216,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_99 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f45269,plain,
    ( spl1_743
    | ~ spl1_333
    | ~ spl1_742 ),
    inference(avatar_split_clause,[],[f45259,f45256,f5984,f45267]) ).

fof(f45267,plain,
    ( spl1_743
  <=> ! [X0,X1] :
        ( xn = X0
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_743])]) ).

fof(f45256,plain,
    ( spl1_742
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_742])]) ).

fof(f45259,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 )
    | ~ spl1_333
    | ~ spl1_742 ),
    inference(forward_demodulation,[],[f45257,f5986]) ).

fof(f45257,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 )
    | ~ spl1_742 ),
    inference(avatar_component_clause,[],[f45256]) ).

fof(f45260,plain,
    ( spl1_332
    | ~ spl1_4
    | ~ spl1_487
    | ~ spl1_617 ),
    inference(avatar_split_clause,[],[f25349,f20192,f11101,f155,f5980]) ).

fof(f5980,plain,
    ( spl1_332
  <=> sz10 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_332])]) ).

fof(f11101,plain,
    ( spl1_487
  <=> ! [X0] :
        ( xn != sdtasdt0(X0,xn)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_487])]) ).

fof(f20192,plain,
    ( spl1_617
  <=> xn = sdtasdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_617])]) ).

fof(f25349,plain,
    ( ~ aNaturalNumber0(xn)
    | sz10 = xn
    | ~ spl1_487
    | ~ spl1_617 ),
    inference(trivial_inequality_removal,[],[f22722]) ).

fof(f22722,plain,
    ( xn != xn
    | ~ aNaturalNumber0(xn)
    | sz10 = xn
    | ~ spl1_487
    | ~ spl1_617 ),
    inference(superposition,[],[f11102,f20194]) ).

fof(f20194,plain,
    ( xn = sdtasdt0(xn,xn)
    | ~ spl1_617 ),
    inference(avatar_component_clause,[],[f20192]) ).

fof(f11102,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(X0,xn)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 )
    | ~ spl1_487 ),
    inference(avatar_component_clause,[],[f11101]) ).

fof(f45258,plain,
    ( ~ spl1_6
    | spl1_742
    | ~ spl1_101
    | ~ spl1_139 ),
    inference(avatar_split_clause,[],[f2017,f2004,f1223,f45256,f165]) ).

fof(f1223,plain,
    ( spl1_101
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_101])]) ).

fof(f2004,plain,
    ( spl1_139
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | sz00 = X1
        | sz10 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_139])]) ).

fof(f2017,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1 )
    | ~ spl1_101
    | ~ spl1_139 ),
    inference(duplicate_literal_removal,[],[f2008]) ).

fof(f2008,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sdtmndt0(X1,sz10)) = X1 )
    | ~ spl1_101
    | ~ spl1_139 ),
    inference(resolution,[],[f2005,f1224]) ).

fof(f1224,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f2005,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,sz10)
        | sz00 = X1
        | sz10 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_139 ),
    inference(avatar_component_clause,[],[f2004]) ).

fof(f45067,plain,
    ( spl1_741
    | ~ spl1_333
    | ~ spl1_740 ),
    inference(avatar_split_clause,[],[f45063,f45060,f5984,f45065]) ).

fof(f45065,plain,
    ( spl1_741
  <=> ! [X0,X1] :
        ( xn = X0
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_741])]) ).

fof(f45060,plain,
    ( spl1_740
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_740])]) ).

fof(f45063,plain,
    ( ! [X0,X1] :
        ( xn = X0
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 )
    | ~ spl1_333
    | ~ spl1_740 ),
    inference(forward_demodulation,[],[f45061,f5986]) ).

fof(f45061,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X1,X0)
        | sz10 = X0 )
    | ~ spl1_740 ),
    inference(avatar_component_clause,[],[f45060]) ).

fof(f45062,plain,
    ( ~ spl1_6
    | spl1_740
    | ~ spl1_100
    | ~ spl1_139 ),
    inference(avatar_split_clause,[],[f2016,f2004,f1219,f45060,f165]) ).

fof(f1219,plain,
    ( spl1_100
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_100])]) ).

fof(f2016,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_139 ),
    inference(duplicate_literal_removal,[],[f2009]) ).

fof(f2009,plain,
    ( ! [X0,X1] :
        ( sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sK0(sz10,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_139 ),
    inference(resolution,[],[f2005,f1220]) ).

fof(f1220,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f44784,plain,
    ( spl1_739
    | ~ spl1_333
    | ~ spl1_738 ),
    inference(avatar_split_clause,[],[f44780,f44777,f5984,f44782]) ).

fof(f44782,plain,
    ( spl1_739
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sdtasdt0(sK0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_739])]) ).

fof(f44777,plain,
    ( spl1_738
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sdtasdt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_738])]) ).

fof(f44780,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sdtasdt0(sK0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_333
    | ~ spl1_738 ),
    inference(forward_demodulation,[],[f44778,f5986]) ).

fof(f44778,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sdtasdt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_738 ),
    inference(avatar_component_clause,[],[f44777]) ).

fof(f44779,plain,
    ( spl1_738
    | ~ spl1_23
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1196,f1113,f277,f44777]) ).

fof(f277,plain,
    ( spl1_23
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).

fof(f1113,plain,
    ( spl1_92
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).

fof(f1196,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sdtasdt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f278]) ).

fof(f278,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1114,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl1_92 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f44497,plain,
    ( spl1_737
    | ~ spl1_333
    | ~ spl1_736 ),
    inference(avatar_split_clause,[],[f44493,f44490,f5984,f44495]) ).

fof(f44495,plain,
    ( spl1_737
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtmndt0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_737])]) ).

fof(f44490,plain,
    ( spl1_736
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_736])]) ).

fof(f44493,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtmndt0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_736 ),
    inference(forward_demodulation,[],[f44491,f5986]) ).

fof(f44491,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_736 ),
    inference(avatar_component_clause,[],[f44490]) ).

fof(f44492,plain,
    ( spl1_736
    | ~ spl1_24
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1193,f1113,f281,f44490]) ).

fof(f281,plain,
    ( spl1_24
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).

fof(f1193,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f282]) ).

fof(f282,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_24 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f44172,plain,
    ( spl1_735
    | ~ spl1_333
    | ~ spl1_734 ),
    inference(avatar_split_clause,[],[f44168,f44165,f5984,f44170]) ).

fof(f44170,plain,
    ( spl1_735
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(xn,sdtasdt0(sK0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_735])]) ).

fof(f44165,plain,
    ( spl1_734
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_734])]) ).

fof(f44168,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(xn,sdtasdt0(sK0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_333
    | ~ spl1_734 ),
    inference(forward_demodulation,[],[f44166,f5986]) ).

fof(f44166,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_734 ),
    inference(avatar_component_clause,[],[f44165]) ).

fof(f44167,plain,
    ( spl1_734
    | ~ spl1_23
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1188,f1109,f277,f44165]) ).

fof(f1109,plain,
    ( spl1_91
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).

fof(f1188,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f278]) ).

fof(f1110,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl1_91 ),
    inference(avatar_component_clause,[],[f1109]) ).

fof(f43885,plain,
    ( spl1_733
    | ~ spl1_333
    | ~ spl1_732 ),
    inference(avatar_split_clause,[],[f43881,f43878,f5984,f43883]) ).

fof(f43883,plain,
    ( spl1_733
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(xn,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_733])]) ).

fof(f43878,plain,
    ( spl1_732
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_732])]) ).

fof(f43881,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(xn,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_333
    | ~ spl1_732 ),
    inference(forward_demodulation,[],[f43879,f5986]) ).

fof(f43879,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_732 ),
    inference(avatar_component_clause,[],[f43878]) ).

fof(f43880,plain,
    ( spl1_732
    | ~ spl1_24
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1185,f1109,f281,f43878]) ).

fof(f1185,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f282]) ).

fof(f43876,plain,
    ( spl1_731
    | ~ spl1_23
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1180,f1105,f277,f43874]) ).

fof(f43874,plain,
    ( spl1_731
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_731])]) ).

fof(f1105,plain,
    ( spl1_90
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_90])]) ).

fof(f1180,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f278]) ).

fof(f1106,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl1_90 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f43872,plain,
    ( spl1_730
    | ~ spl1_24
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1177,f1105,f281,f43870]) ).

fof(f43870,plain,
    ( spl1_730
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_730])]) ).

fof(f1177,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f282]) ).

fof(f43868,plain,
    ( spl1_729
    | ~ spl1_23
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1172,f1101,f277,f43866]) ).

fof(f43866,plain,
    ( spl1_729
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_729])]) ).

fof(f1101,plain,
    ( spl1_89
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_89])]) ).

fof(f1172,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f278]) ).

fof(f1102,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl1_89 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f43735,plain,
    ( spl1_333
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f22343,f19649,f297,f5984]) ).

fof(f43734,plain,
    ( spl1_728
    | ~ spl1_24
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1169,f1101,f281,f43732]) ).

fof(f43732,plain,
    ( spl1_728
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_728])]) ).

fof(f1169,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f282]) ).

fof(f43456,plain,
    ( spl1_727
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_726 ),
    inference(avatar_split_clause,[],[f43452,f43449,f19649,f297,f43454]) ).

fof(f43454,plain,
    ( spl1_727
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sdtpldt0(sK0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_727])]) ).

fof(f43449,plain,
    ( spl1_726
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sdtpldt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_726])]) ).

fof(f43452,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sdtpldt0(sK0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_726 ),
    inference(forward_demodulation,[],[f43450,f22343]) ).

fof(f43450,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sdtpldt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_726 ),
    inference(avatar_component_clause,[],[f43449]) ).

fof(f43451,plain,
    ( spl1_726
    | ~ spl1_23
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1164,f1097,f277,f43449]) ).

fof(f1097,plain,
    ( spl1_88
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).

fof(f1164,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sdtpldt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f278]) ).

fof(f1098,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl1_88 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f43169,plain,
    ( spl1_725
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_724 ),
    inference(avatar_split_clause,[],[f43165,f43162,f19649,f297,f43167]) ).

fof(f43167,plain,
    ( spl1_725
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtmndt0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_725])]) ).

fof(f43162,plain,
    ( spl1_724
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_724])]) ).

fof(f43165,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtmndt0(X1,X2),X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_724 ),
    inference(forward_demodulation,[],[f43163,f22343]) ).

fof(f43163,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_724 ),
    inference(avatar_component_clause,[],[f43162]) ).

fof(f43164,plain,
    ( spl1_724
    | ~ spl1_24
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1161,f1097,f281,f43162]) ).

fof(f1161,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f282]) ).

fof(f42886,plain,
    ( spl1_723
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_722 ),
    inference(avatar_split_clause,[],[f42882,f42879,f19649,f297,f42884]) ).

fof(f42884,plain,
    ( spl1_723
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(xn,sdtpldt0(sK0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_723])]) ).

fof(f42879,plain,
    ( spl1_722
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_722])]) ).

fof(f42882,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(xn,sdtpldt0(sK0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_722 ),
    inference(forward_demodulation,[],[f42880,f22343]) ).

fof(f42880,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_722 ),
    inference(avatar_component_clause,[],[f42879]) ).

fof(f42881,plain,
    ( spl1_722
    | ~ spl1_23
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1156,f1093,f277,f42879]) ).

fof(f1093,plain,
    ( spl1_87
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_87])]) ).

fof(f1156,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f278]) ).

fof(f1094,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl1_87 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f42487,plain,
    ( spl1_721
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_720 ),
    inference(avatar_split_clause,[],[f42483,f42480,f19649,f297,f42485]) ).

fof(f42485,plain,
    ( spl1_721
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(xn,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_721])]) ).

fof(f42480,plain,
    ( spl1_720
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_720])]) ).

fof(f42483,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(xn,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_720 ),
    inference(forward_demodulation,[],[f42481,f22343]) ).

fof(f42481,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_720 ),
    inference(avatar_component_clause,[],[f42480]) ).

fof(f42482,plain,
    ( spl1_720
    | ~ spl1_24
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1153,f1093,f281,f42480]) ).

fof(f1153,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f282]) ).

fof(f42478,plain,
    ( spl1_719
    | ~ spl1_23
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1148,f1089,f277,f42476]) ).

fof(f42476,plain,
    ( spl1_719
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_719])]) ).

fof(f1089,plain,
    ( spl1_86
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_86])]) ).

fof(f1148,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f278]) ).

fof(f1090,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl1_86 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f42474,plain,
    ( spl1_718
    | ~ spl1_24
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1145,f1089,f281,f42472]) ).

fof(f42472,plain,
    ( spl1_718
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_718])]) ).

fof(f1145,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f282]) ).

fof(f42470,plain,
    ( spl1_717
    | ~ spl1_23
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1140,f1085,f277,f42468]) ).

fof(f42468,plain,
    ( spl1_717
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_717])]) ).

fof(f1085,plain,
    ( spl1_85
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).

fof(f1140,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f278]) ).

fof(f1086,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl1_85 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f41239,plain,
    ( ~ spl1_4
    | ~ spl1_8
    | spl1_597 ),
    inference(avatar_split_clause,[],[f40882,f18049,f175,f155]) ).

fof(f175,plain,
    ( spl1_8
  <=> ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f18049,plain,
    ( spl1_597
  <=> sdtlseqdt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_597])]) ).

fof(f40882,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl1_8
    | spl1_597 ),
    inference(resolution,[],[f18050,f176]) ).

fof(f176,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f18050,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | spl1_597 ),
    inference(avatar_component_clause,[],[f18049]) ).

fof(f41008,plain,
    ( spl1_716
    | ~ spl1_76
    | ~ spl1_715 ),
    inference(avatar_split_clause,[],[f41004,f41001,f975,f41006]) ).

fof(f41006,plain,
    ( spl1_716
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(xm,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_716])]) ).

fof(f975,plain,
    ( spl1_76
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).

fof(f41001,plain,
    ( spl1_715
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_715])]) ).

fof(f41004,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(xm,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_76
    | ~ spl1_715 ),
    inference(forward_demodulation,[],[f41002,f977]) ).

fof(f977,plain,
    ( sz10 = xm
    | ~ spl1_76 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f41002,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X2,X1)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_715 ),
    inference(avatar_component_clause,[],[f41001]) ).

fof(f41003,plain,
    ( spl1_715
    | ~ spl1_24
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1137,f1085,f281,f41001]) ).

fof(f1137,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtmndt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f282]) ).

fof(f40999,plain,
    ( spl1_714
    | ~ spl1_23
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f969,f905,f277,f40997]) ).

fof(f40997,plain,
    ( spl1_714
  <=> ! [X0,X1] :
        ( sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sdtmndt0(sK0(X0,X1),sK0(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_714])]) ).

fof(f905,plain,
    ( spl1_74
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).

fof(f969,plain,
    ( ! [X0,X1] :
        ( sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sdtmndt0(sK0(X0,X1),sK0(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f278]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
    | ~ spl1_74 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f40995,plain,
    ( spl1_713
    | ~ spl1_24
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f966,f905,f281,f40993]) ).

fof(f40993,plain,
    ( spl1_713
  <=> ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sdtmndt0(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_713])]) ).

fof(f966,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sdtmndt0(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f282]) ).

fof(f40991,plain,
    ( spl1_712
    | ~ spl1_23
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f961,f901,f277,f40989]) ).

fof(f40989,plain,
    ( spl1_712
  <=> ! [X0,X1] :
        ( sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sK0(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_712])]) ).

fof(f901,plain,
    ( spl1_73
  <=> ! [X0] :
        ( sdtpldt0(X0,sK0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).

fof(f961,plain,
    ( ! [X0,X1] :
        ( sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sK0(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f278]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X0)) = X0 )
    | ~ spl1_73 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f40987,plain,
    ( spl1_711
    | ~ spl1_24
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f958,f901,f281,f40985]) ).

fof(f40985,plain,
    ( spl1_711
  <=> ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sK0(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_711])]) ).

fof(f958,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sK0(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f282]) ).

fof(f40527,plain,
    ( spl1_710
    | ~ spl1_76
    | ~ spl1_139 ),
    inference(avatar_split_clause,[],[f23943,f2004,f975,f40525]) ).

fof(f40525,plain,
    ( spl1_710
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,xm)
        | sz00 = X1
        | xm = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_710])]) ).

fof(f23943,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,xm)
        | sz00 = X1
        | xm = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_76
    | ~ spl1_139 ),
    inference(superposition,[],[f2005,f977]) ).

fof(f40460,plain,
    ( ~ spl1_597
    | spl1_2
    | ~ spl1_679 ),
    inference(avatar_split_clause,[],[f35743,f25330,f145,f18049]) ).

fof(f145,plain,
    ( spl1_2
  <=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f35743,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | spl1_2
    | ~ spl1_679 ),
    inference(superposition,[],[f147,f25332]) ).

fof(f25332,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_679 ),
    inference(avatar_component_clause,[],[f25330]) ).

fof(f147,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f40109,plain,
    ( spl1_709
    | ~ spl1_76
    | ~ spl1_93 ),
    inference(avatar_split_clause,[],[f23942,f1117,f975,f40107]) ).

fof(f40107,plain,
    ( spl1_709
  <=> ! [X0] :
        ( ~ sdtlseqdt0(X0,xm)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_709])]) ).

fof(f1117,plain,
    ( spl1_93
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).

fof(f23942,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xm)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl1_76
    | ~ spl1_93 ),
    inference(superposition,[],[f1118,f977]) ).

fof(f1118,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sz10)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 )
    | ~ spl1_93 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f40105,plain,
    ( spl1_708
    | ~ spl1_20
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f23928,f975,f265,f40103]) ).

fof(f40103,plain,
    ( spl1_708
  <=> ! [X0] :
        ( sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_708])]) ).

fof(f23928,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_76 ),
    inference(superposition,[],[f266,f977]) ).

fof(f40019,plain,
    ( ~ spl1_4
    | spl1_333
    | spl1_476
    | ~ spl1_76
    | ~ spl1_93
    | ~ spl1_682 ),
    inference(avatar_split_clause,[],[f39684,f29946,f1117,f975,f10801,f5984,f155]) ).

fof(f10801,plain,
    ( spl1_476
  <=> xm = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_476])]) ).

fof(f29946,plain,
    ( spl1_682
  <=> sdtlseqdt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_682])]) ).

fof(f39684,plain,
    ( xm = xn
    | sz00 = xn
    | ~ aNaturalNumber0(xn)
    | ~ spl1_76
    | ~ spl1_93
    | ~ spl1_682 ),
    inference(forward_demodulation,[],[f39625,f977]) ).

fof(f39625,plain,
    ( sz00 = xn
    | ~ aNaturalNumber0(xn)
    | sz10 = xn
    | ~ spl1_93
    | ~ spl1_682 ),
    inference(resolution,[],[f29947,f1118]) ).

fof(f29947,plain,
    ( sdtlseqdt0(xn,sz10)
    | ~ spl1_682 ),
    inference(avatar_component_clause,[],[f29946]) ).

fof(f39864,plain,
    ( spl1_707
    | ~ spl1_53
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f23929,f975,f540,f39861]) ).

fof(f39861,plain,
    ( spl1_707
  <=> xm = sdtasdt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_707])]) ).

fof(f540,plain,
    ( spl1_53
  <=> xm = sdtasdt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).

fof(f23929,plain,
    ( xm = sdtasdt0(xm,xm)
    | ~ spl1_53
    | ~ spl1_76 ),
    inference(superposition,[],[f542,f977]) ).

fof(f542,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl1_53 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f39359,plain,
    ( spl1_597
    | ~ spl1_75
    | ~ spl1_332
    | ~ spl1_476 ),
    inference(avatar_split_clause,[],[f39358,f10801,f5980,f971,f18049]) ).

fof(f971,plain,
    ( spl1_75
  <=> sdtlseqdt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).

fof(f39358,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl1_75
    | ~ spl1_332
    | ~ spl1_476 ),
    inference(forward_demodulation,[],[f39357,f10802]) ).

fof(f10802,plain,
    ( xm = xn
    | ~ spl1_476 ),
    inference(avatar_component_clause,[],[f10801]) ).

fof(f39357,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ spl1_75
    | ~ spl1_332 ),
    inference(forward_demodulation,[],[f972,f5982]) ).

fof(f5982,plain,
    ( sz10 = xn
    | ~ spl1_332 ),
    inference(avatar_component_clause,[],[f5980]) ).

fof(f972,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ spl1_75 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f37870,plain,
    ( ~ spl1_617
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_333
    | ~ spl1_661
    | spl1_679 ),
    inference(avatar_split_clause,[],[f36319,f25330,f22958,f5984,f535,f530,f345,f160,f20192]) ).

fof(f160,plain,
    ( spl1_5
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f535,plain,
    ( spl1_52
  <=> xn = sdtpldt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).

fof(f22958,plain,
    ( spl1_661
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_661])]) ).

fof(f36319,plain,
    ( xn != sdtasdt0(xn,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_333
    | ~ spl1_661
    | spl1_679 ),
    inference(forward_demodulation,[],[f25331,f24588]) ).

fof(f24588,plain,
    ( xm = xn
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f24587,f23567]) ).

fof(f23567,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_30
    | ~ spl1_333 ),
    inference(superposition,[],[f347,f5986]) ).

fof(f24587,plain,
    ( xm = sdtasdt0(xn,xm)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f24586,f532]) ).

fof(f24586,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sz00,xm)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_52
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f24585,f347]) ).

fof(f24585,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(sz00,xm),xm)
    | ~ spl1_5
    | ~ spl1_52
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f24574,f537]) ).

fof(f537,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl1_52 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f24574,plain,
    ( sdtpldt0(sdtasdt0(sz00,xm),xm) = sdtasdt0(sdtpldt0(sz00,xn),xm)
    | ~ spl1_5
    | ~ spl1_661 ),
    inference(resolution,[],[f22959,f162]) ).

fof(f162,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f22959,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xm) )
    | ~ spl1_661 ),
    inference(avatar_component_clause,[],[f22958]) ).

fof(f25331,plain,
    ( xn != sdtasdt0(xn,xm)
    | spl1_679 ),
    inference(avatar_component_clause,[],[f25330]) ).

fof(f37868,plain,
    ( spl1_685
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_185
    | ~ spl1_259
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(avatar_split_clause,[],[f30903,f22958,f5984,f4527,f3383,f535,f530,f345,f160,f30551]) ).

fof(f4527,plain,
    ( spl1_259
  <=> sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_259])]) ).

fof(f30903,plain,
    ( xn = sdtasdt0(xm,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_185
    | ~ spl1_259
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27260,f24587]) ).

fof(f27260,plain,
    ( xn = sdtasdt0(sdtasdt0(xn,xm),xn)
    | ~ spl1_30
    | ~ spl1_185
    | ~ spl1_259
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6616,f3385]) ).

fof(f6616,plain,
    ( xn = sdtasdt0(sdtasdt0(xm,xn),xn)
    | ~ spl1_30
    | ~ spl1_259
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6587,f6551]) ).

fof(f6587,plain,
    ( xn = sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xn)
    | ~ spl1_259
    | ~ spl1_333 ),
    inference(superposition,[],[f4529,f5986]) ).

fof(f4529,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_259 ),
    inference(avatar_component_clause,[],[f4527]) ).

fof(f37019,plain,
    ( spl1_706
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_211
    | ~ spl1_333
    | ~ spl1_337
    | ~ spl1_661 ),
    inference(avatar_split_clause,[],[f30905,f22958,f6072,f5984,f3864,f1785,f1343,f535,f530,f345,f160,f37016]) ).

fof(f37016,plain,
    ( spl1_706
  <=> xm = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_706])]) ).

fof(f1343,plain,
    ( spl1_103
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_103])]) ).

fof(f1785,plain,
    ( spl1_126
  <=> sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_126])]) ).

fof(f3864,plain,
    ( spl1_211
  <=> sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_211])]) ).

fof(f6072,plain,
    ( spl1_337
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_337])]) ).

fof(f30905,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_211
    | ~ spl1_333
    | ~ spl1_337
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f30904,f24587]) ).

fof(f30904,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_211
    | ~ spl1_333
    | ~ spl1_337
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27249,f24587]) ).

fof(f27249,plain,
    ( sdtasdt0(xn,sdtasdt0(xn,xm)) = sdtpldt0(sdtasdt0(xn,sdtasdt0(xn,xm)),xn)
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_211
    | ~ spl1_333
    | ~ spl1_337 ),
    inference(forward_demodulation,[],[f6645,f3866]) ).

fof(f3866,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_211 ),
    inference(avatar_component_clause,[],[f3864]) ).

fof(f6645,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),xn),xn)
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_333
    | ~ spl1_337 ),
    inference(forward_demodulation,[],[f6644,f5986]) ).

fof(f6644,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),xn),sz00)
    | ~ spl1_103
    | ~ spl1_126
    | ~ spl1_337 ),
    inference(forward_demodulation,[],[f6631,f1787]) ).

fof(f1787,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00)
    | ~ spl1_126 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f6631,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),xn),sdtasdt0(sdtasdt0(xn,xm),sz00))
    | ~ spl1_103
    | ~ spl1_337 ),
    inference(resolution,[],[f6073,f1344]) ).

fof(f1344,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl1_103 ),
    inference(avatar_component_clause,[],[f1343]) ).

fof(f6073,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00)) )
    | ~ spl1_337 ),
    inference(avatar_component_clause,[],[f6072]) ).

fof(f36850,plain,
    ( spl1_705
    | ~ spl1_8
    | ~ spl1_161 ),
    inference(avatar_split_clause,[],[f2485,f2391,f175,f36848]) ).

fof(f36848,plain,
    ( spl1_705
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_705])]) ).

fof(f2485,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_161 ),
    inference(duplicate_literal_removal,[],[f2463]) ).

fof(f2463,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_161 ),
    inference(resolution,[],[f2392,f176]) ).

fof(f36846,plain,
    ( spl1_704
    | ~ spl1_8
    | ~ spl1_160 ),
    inference(avatar_split_clause,[],[f2462,f2387,f175,f36844]) ).

fof(f36844,plain,
    ( spl1_704
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_704])]) ).

fof(f2462,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_160 ),
    inference(duplicate_literal_removal,[],[f2440]) ).

fof(f2440,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_160 ),
    inference(resolution,[],[f2388,f176]) ).

fof(f36841,plain,
    ( spl1_684
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_333
    | ~ spl1_495
    | ~ spl1_661 ),
    inference(avatar_split_clause,[],[f31133,f22958,f11576,f5984,f535,f530,f345,f160,f30519]) ).

fof(f30519,plain,
    ( spl1_684
  <=> sdtlseqdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_684])]) ).

fof(f11576,plain,
    ( spl1_495
  <=> sdtlseqdt0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_495])]) ).

fof(f31133,plain,
    ( sdtlseqdt0(xn,xm)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_333
    | ~ spl1_495
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f30059,f24587]) ).

fof(f30059,plain,
    ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_333
    | ~ spl1_495 ),
    inference(superposition,[],[f11578,f5986]) ).

fof(f11578,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_495 ),
    inference(avatar_component_clause,[],[f11576]) ).

fof(f36840,plain,
    ( spl1_703
    | ~ spl1_8
    | ~ spl1_158 ),
    inference(avatar_split_clause,[],[f2439,f2378,f175,f36838]) ).

fof(f36838,plain,
    ( spl1_703
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_703])]) ).

fof(f2439,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_158 ),
    inference(duplicate_literal_removal,[],[f2417]) ).

fof(f2417,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK0(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_158 ),
    inference(resolution,[],[f2379,f176]) ).

fof(f36836,plain,
    ( spl1_702
    | ~ spl1_8
    | ~ spl1_157 ),
    inference(avatar_split_clause,[],[f2416,f2374,f175,f36834]) ).

fof(f36834,plain,
    ( spl1_702
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_702])]) ).

fof(f2416,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_157 ),
    inference(duplicate_literal_removal,[],[f2394]) ).

fof(f2394,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_8
    | ~ spl1_157 ),
    inference(resolution,[],[f2375,f176]) ).

fof(f36832,plain,
    ( spl1_701
    | ~ spl1_6
    | ~ spl1_151 ),
    inference(avatar_split_clause,[],[f2308,f2277,f165,f36830]) ).

fof(f36830,plain,
    ( spl1_701
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_701])]) ).

fof(f2277,plain,
    ( spl1_151
  <=> ! [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,[spl1_151])]) ).

fof(f2308,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_6
    | ~ spl1_151 ),
    inference(resolution,[],[f2278,f167]) ).

fof(f167,plain,
    ( aNaturalNumber0(sz10)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f2278,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_151 ),
    inference(avatar_component_clause,[],[f2277]) ).

fof(f36827,plain,
    ( spl1_700
    | ~ spl1_5
    | ~ spl1_151 ),
    inference(avatar_split_clause,[],[f2307,f2277,f160,f36825]) ).

fof(f36825,plain,
    ( spl1_700
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_700])]) ).

fof(f2307,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_5
    | ~ spl1_151 ),
    inference(resolution,[],[f2278,f162]) ).

fof(f36823,plain,
    ( spl1_699
    | ~ spl1_6
    | ~ spl1_150 ),
    inference(avatar_split_clause,[],[f2299,f2273,f165,f36821]) ).

fof(f36821,plain,
    ( spl1_699
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_699])]) ).

fof(f2273,plain,
    ( spl1_150
  <=> ! [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,[spl1_150])]) ).

fof(f2299,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_6
    | ~ spl1_150 ),
    inference(resolution,[],[f2274,f167]) ).

fof(f2274,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_150 ),
    inference(avatar_component_clause,[],[f2273]) ).

fof(f36818,plain,
    ( spl1_698
    | ~ spl1_5
    | ~ spl1_150 ),
    inference(avatar_split_clause,[],[f2298,f2273,f160,f36816]) ).

fof(f36816,plain,
    ( spl1_698
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_698])]) ).

fof(f2298,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_5
    | ~ spl1_150 ),
    inference(resolution,[],[f2274,f162]) ).

fof(f36814,plain,
    ( spl1_697
    | ~ spl1_6
    | ~ spl1_149 ),
    inference(avatar_split_clause,[],[f2290,f2269,f165,f36812]) ).

fof(f36812,plain,
    ( spl1_697
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_697])]) ).

fof(f2269,plain,
    ( spl1_149
  <=> ! [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,[spl1_149])]) ).

fof(f2290,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_6
    | ~ spl1_149 ),
    inference(resolution,[],[f2270,f167]) ).

fof(f2270,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_149 ),
    inference(avatar_component_clause,[],[f2269]) ).

fof(f36809,plain,
    ( spl1_696
    | ~ spl1_5
    | ~ spl1_149 ),
    inference(avatar_split_clause,[],[f2289,f2269,f160,f36807]) ).

fof(f36807,plain,
    ( spl1_696
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_696])]) ).

fof(f2289,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_5
    | ~ spl1_149 ),
    inference(resolution,[],[f2270,f162]) ).

fof(f36805,plain,
    ( spl1_695
    | ~ spl1_6
    | ~ spl1_148 ),
    inference(avatar_split_clause,[],[f2281,f2265,f165,f36803]) ).

fof(f36803,plain,
    ( spl1_695
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_695])]) ).

fof(f2265,plain,
    ( spl1_148
  <=> ! [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,[spl1_148])]) ).

fof(f2281,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_6
    | ~ spl1_148 ),
    inference(resolution,[],[f2266,f167]) ).

fof(f2266,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_148 ),
    inference(avatar_component_clause,[],[f2265]) ).

fof(f36667,plain,
    ( spl1_333
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f22343,f19649,f297,f5984]) ).

fof(f36665,plain,
    ( spl1_694
    | ~ spl1_5
    | ~ spl1_148 ),
    inference(avatar_split_clause,[],[f2280,f2265,f160,f36663]) ).

fof(f36663,plain,
    ( spl1_694
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_694])]) ).

fof(f2280,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_5
    | ~ spl1_148 ),
    inference(resolution,[],[f2266,f162]) ).

fof(f36661,plain,
    ( spl1_693
    | ~ spl1_29
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1762,f1544,f330,f36659]) ).

fof(f36659,plain,
    ( spl1_693
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sz10,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_693])]) ).

fof(f330,plain,
    ( spl1_29
  <=> ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).

fof(f1544,plain,
    ( spl1_121
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_121])]) ).

fof(f1762,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sz10,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1752]) ).

fof(f1752,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sz10,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f331]) ).

fof(f331,plain,
    ( ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f1545,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
    | ~ spl1_121 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f36657,plain,
    ( spl1_692
    | ~ spl1_29
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1741,f1540,f330,f36655]) ).

fof(f36655,plain,
    ( spl1_692
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz10)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_692])]) ).

fof(f1540,plain,
    ( spl1_120
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_120])]) ).

fof(f1741,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz10)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1731]) ).

fof(f1731,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f331]) ).

fof(f1541,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
    | ~ spl1_120 ),
    inference(avatar_component_clause,[],[f1540]) ).

fof(f36501,plain,
    ( spl1_691
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_690 ),
    inference(avatar_split_clause,[],[f36497,f36494,f19649,f297,f36499]) ).

fof(f36499,plain,
    ( spl1_691
  <=> ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_691])]) ).

fof(f36494,plain,
    ( spl1_690
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_690])]) ).

fof(f36497,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_690 ),
    inference(forward_demodulation,[],[f36495,f22343]) ).

fof(f36495,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_690 ),
    inference(avatar_component_clause,[],[f36494]) ).

fof(f36496,plain,
    ( spl1_690
    | ~ spl1_29
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1720,f1536,f330,f36494]) ).

fof(f1536,plain,
    ( spl1_119
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_119])]) ).

fof(f1720,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1710]) ).

fof(f1710,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f331]) ).

fof(f1537,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_119 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f36332,plain,
    ( spl1_689
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_688 ),
    inference(avatar_split_clause,[],[f36328,f36325,f19649,f297,f36330]) ).

fof(f36330,plain,
    ( spl1_689
  <=> ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_689])]) ).

fof(f36325,plain,
    ( spl1_688
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_688])]) ).

fof(f36328,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_688 ),
    inference(forward_demodulation,[],[f36326,f22343]) ).

fof(f36326,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_688 ),
    inference(avatar_component_clause,[],[f36325]) ).

fof(f36327,plain,
    ( spl1_688
    | ~ spl1_29
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1699,f1532,f330,f36325]) ).

fof(f1532,plain,
    ( spl1_118
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_118])]) ).

fof(f1699,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1689]) ).

fof(f1689,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f331]) ).

fof(f1533,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_118 ),
    inference(avatar_component_clause,[],[f1532]) ).

fof(f36323,plain,
    ( spl1_687
    | ~ spl1_29
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1678,f1528,f330,f36321]) ).

fof(f36321,plain,
    ( spl1_687
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_687])]) ).

fof(f1528,plain,
    ( spl1_117
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_117])]) ).

fof(f1678,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1668]) ).

fof(f1668,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f331]) ).

fof(f1529,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) )
    | ~ spl1_117 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f36258,plain,
    ( ~ spl1_597
    | spl1_2
    | ~ spl1_679 ),
    inference(avatar_split_clause,[],[f35743,f25330,f145,f18049]) ).

fof(f35658,plain,
    ( spl1_686
    | ~ spl1_25
    | ~ spl1_470
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f33526,f19649,f10580,f297,f35656]) ).

fof(f35656,plain,
    ( spl1_686
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_686])]) ).

fof(f10580,plain,
    ( spl1_470
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_470])]) ).

fof(f33526,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl1_25
    | ~ spl1_470
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f10581,f22343]) ).

fof(f10581,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl1_470 ),
    inference(avatar_component_clause,[],[f10580]) ).

fof(f35569,plain,
    ( spl1_683
    | ~ spl1_25
    | ~ spl1_463
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f33525,f19649,f10248,f297,f30172]) ).

fof(f30172,plain,
    ( spl1_683
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_683])]) ).

fof(f10248,plain,
    ( spl1_463
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_463])]) ).

fof(f33525,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl1_25
    | ~ spl1_463
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f10249,f22343]) ).

fof(f10249,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl1_463 ),
    inference(avatar_component_clause,[],[f10248]) ).

fof(f33512,plain,
    ( ~ spl1_333
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_209
    | ~ spl1_320
    | ~ spl1_332
    | ~ spl1_333
    | spl1_383
    | ~ spl1_402
    | ~ spl1_661 ),
    inference(avatar_split_clause,[],[f27714,f22958,f7789,f7710,f5984,f5980,f5785,f3851,f535,f530,f345,f160,f5984]) ).

fof(f3851,plain,
    ( spl1_209
  <=> sz00 = sdtmndt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_209])]) ).

fof(f5785,plain,
    ( spl1_320
  <=> sK0(sz10,xm) = sdtasdt0(sz10,sK0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_320])]) ).

fof(f7710,plain,
    ( spl1_383
  <=> sK0(sz10,xm) = sdtmndt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_383])]) ).

fof(f27714,plain,
    ( sz00 != xn
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_209
    | ~ spl1_320
    | ~ spl1_332
    | ~ spl1_333
    | spl1_383
    | ~ spl1_402
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27713,f27559]) ).

fof(f27559,plain,
    ( xn = sK0(xn,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_320
    | ~ spl1_332
    | ~ spl1_333
    | ~ spl1_402
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27558,f24201]) ).

fof(f24201,plain,
    ( xn = sdtasdt0(xn,sK0(xn,xn))
    | ~ spl1_30
    | ~ spl1_333
    | ~ spl1_402 ),
    inference(forward_demodulation,[],[f23620,f23567]) ).

fof(f23620,plain,
    ( xn = sdtasdt0(xn,sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_333
    | ~ spl1_402 ),
    inference(superposition,[],[f7791,f5986]) ).

fof(f27558,plain,
    ( sK0(xn,xn) = sdtasdt0(xn,sK0(xn,xn))
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_320
    | ~ spl1_332
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f6057,f24588]) ).

fof(f6057,plain,
    ( sK0(xn,xm) = sdtasdt0(xn,sK0(xn,xm))
    | ~ spl1_320
    | ~ spl1_332 ),
    inference(superposition,[],[f5787,f5982]) ).

fof(f5787,plain,
    ( sK0(sz10,xm) = sdtasdt0(sz10,sK0(sz10,xm))
    | ~ spl1_320 ),
    inference(avatar_component_clause,[],[f5785]) ).

fof(f27713,plain,
    ( sz00 != sK0(xn,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_209
    | ~ spl1_332
    | ~ spl1_333
    | spl1_383
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27712,f3853]) ).

fof(f3853,plain,
    ( sz00 = sdtmndt0(xn,xn)
    | ~ spl1_209 ),
    inference(avatar_component_clause,[],[f3851]) ).

fof(f27712,plain,
    ( sK0(xn,xn) != sdtmndt0(xn,xn)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_332
    | ~ spl1_333
    | spl1_383
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f27641,f24588]) ).

fof(f27641,plain,
    ( sK0(xn,xm) != sdtmndt0(xm,xn)
    | ~ spl1_332
    | spl1_383 ),
    inference(superposition,[],[f7711,f5982]) ).

fof(f7711,plain,
    ( sK0(sz10,xm) != sdtmndt0(xm,sz10)
    | spl1_383 ),
    inference(avatar_component_clause,[],[f7710]) ).

fof(f30554,plain,
    ( spl1_685
    | ~ spl1_56
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f25127,f975,f555,f30551]) ).

fof(f555,plain,
    ( spl1_56
  <=> xn = sdtasdt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).

fof(f25127,plain,
    ( xn = sdtasdt0(xm,xn)
    | ~ spl1_56
    | ~ spl1_76 ),
    inference(superposition,[],[f557,f977]) ).

fof(f557,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl1_56 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f30522,plain,
    ( ~ spl1_684
    | ~ spl1_76
    | spl1_682 ),
    inference(avatar_split_clause,[],[f30506,f29946,f975,f30519]) ).

fof(f30506,plain,
    ( ~ sdtlseqdt0(xn,xm)
    | ~ spl1_76
    | spl1_682 ),
    inference(superposition,[],[f29948,f977]) ).

fof(f29948,plain,
    ( ~ sdtlseqdt0(xn,sz10)
    | spl1_682 ),
    inference(avatar_component_clause,[],[f29946]) ).

fof(f30174,plain,
    ( spl1_683
    | ~ spl1_25
    | ~ spl1_463
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f27996,f19649,f10248,f297,f30172]) ).

fof(f27996,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) )
    | ~ spl1_25
    | ~ spl1_463
    | ~ spl1_612 ),
    inference(forward_demodulation,[],[f10249,f22343]) ).

fof(f29949,plain,
    ( ~ spl1_682
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | spl1_75
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(avatar_split_clause,[],[f27991,f22958,f5984,f971,f535,f530,f345,f160,f29946]) ).

fof(f27991,plain,
    ( ~ sdtlseqdt0(xn,sz10)
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_51
    | ~ spl1_52
    | spl1_75
    | ~ spl1_333
    | ~ spl1_661 ),
    inference(forward_demodulation,[],[f973,f24588]) ).

fof(f973,plain,
    ( ~ sdtlseqdt0(xm,sz10)
    | spl1_75 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f29944,plain,
    ( spl1_333
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f22343,f19649,f297,f5984]) ).

fof(f27879,plain,
    ( spl1_681
    | ~ spl1_332
    | ~ spl1_680 ),
    inference(avatar_split_clause,[],[f27875,f27872,f5980,f27877]) ).

fof(f27877,plain,
    ( spl1_681
  <=> ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_681])]) ).

fof(f27872,plain,
    ( spl1_680
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_680])]) ).

fof(f27875,plain,
    ( ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_332
    | ~ spl1_680 ),
    inference(forward_demodulation,[],[f27873,f5982]) ).

fof(f27873,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_680 ),
    inference(avatar_component_clause,[],[f27872]) ).

fof(f27874,plain,
    ( spl1_680
    | ~ spl1_29
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1657,f1524,f330,f27872]) ).

fof(f1524,plain,
    ( spl1_116
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_116])]) ).

fof(f1657,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1647]) ).

fof(f1647,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f331]) ).

fof(f1525,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) )
    | ~ spl1_116 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f25333,plain,
    ( spl1_679
    | ~ spl1_54
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f23930,f975,f545,f25330]) ).

fof(f545,plain,
    ( spl1_54
  <=> xn = sdtasdt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).

fof(f23930,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_54
    | ~ spl1_76 ),
    inference(superposition,[],[f547,f977]) ).

fof(f547,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl1_54 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f25218,plain,
    ( ~ spl1_333
    | ~ spl1_25
    | spl1_612 ),
    inference(avatar_split_clause,[],[f22611,f19649,f297,f5984]) ).

fof(f22611,plain,
    ( sz00 != xn
    | ~ spl1_25
    | spl1_612 ),
    inference(superposition,[],[f19650,f299]) ).

fof(f19650,plain,
    ( xn != sdtasdt0(xn,sz00)
    | spl1_612 ),
    inference(avatar_component_clause,[],[f19649]) ).

fof(f25216,plain,
    ( ~ spl1_676
    | spl1_75
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f23938,f975,f971,f24022]) ).

fof(f24022,plain,
    ( spl1_676
  <=> sdtlseqdt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_676])]) ).

fof(f23938,plain,
    ( ~ sdtlseqdt0(xm,xm)
    | spl1_75
    | ~ spl1_76 ),
    inference(superposition,[],[f973,f977]) ).

fof(f24738,plain,
    ( spl1_678
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_677 ),
    inference(avatar_split_clause,[],[f24734,f24731,f19649,f297,f24736]) ).

fof(f24736,plain,
    ( spl1_678
  <=> ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(xn,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_678])]) ).

fof(f24731,plain,
    ( spl1_677
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_677])]) ).

fof(f24734,plain,
    ( ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(xn,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_25
    | ~ spl1_612
    | ~ spl1_677 ),
    inference(forward_demodulation,[],[f24732,f22343]) ).

fof(f24732,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_677 ),
    inference(avatar_component_clause,[],[f24731]) ).

fof(f24733,plain,
    ( spl1_677
    | ~ spl1_29
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1583,f1520,f330,f24731]) ).

fof(f1583,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1573]) ).

fof(f1573,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f331]) ).

fof(f24025,plain,
    ( spl1_676
    | ~ spl1_9
    | ~ spl1_76 ),
    inference(avatar_split_clause,[],[f23927,f975,f179,f24022]) ).

fof(f23927,plain,
    ( sdtlseqdt0(xm,xm)
    | ~ spl1_9
    | ~ spl1_76 ),
    inference(superposition,[],[f181,f977]) ).

fof(f23924,plain,
    ( spl1_332
    | ~ spl1_76
    | ~ spl1_476 ),
    inference(avatar_split_clause,[],[f23889,f10801,f975,f5980]) ).

fof(f23889,plain,
    ( sz10 = xn
    | ~ spl1_76
    | ~ spl1_476 ),
    inference(forward_demodulation,[],[f977,f10802]) ).

fof(f23888,plain,
    ( spl1_675
    | ~ spl1_332
    | ~ spl1_342 ),
    inference(avatar_split_clause,[],[f6097,f6094,f5980,f23886]) ).

fof(f23886,plain,
    ( spl1_675
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_675])]) ).

fof(f6094,plain,
    ( spl1_342
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_342])]) ).

fof(f6097,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_332
    | ~ spl1_342 ),
    inference(forward_demodulation,[],[f6095,f5982]) ).

fof(f6095,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn) )
    | ~ spl1_342 ),
    inference(avatar_component_clause,[],[f6094]) ).

fof(f23798,plain,
    ( spl1_476
    | ~ spl1_76
    | ~ spl1_332 ),
    inference(avatar_split_clause,[],[f23797,f5980,f975,f10801]) ).

fof(f23797,plain,
    ( xm = xn
    | ~ spl1_76
    | ~ spl1_332 ),
    inference(forward_demodulation,[],[f977,f5982]) ).

fof(f23696,plain,
    ( spl1_674
    | ~ spl1_333
    | ~ spl1_673 ),
    inference(avatar_split_clause,[],[f23692,f23689,f5984,f23694]) ).

fof(f23694,plain,
    ( spl1_674
  <=> ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_674])]) ).

fof(f23689,plain,
    ( spl1_673
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_673])]) ).

fof(f23692,plain,
    ( ! [X0,X1] :
        ( sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),xn)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_333
    | ~ spl1_673 ),
    inference(forward_demodulation,[],[f23690,f5986]) ).

fof(f23690,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_673 ),
    inference(avatar_component_clause,[],[f23689]) ).

fof(f23691,plain,
    ( spl1_673
    | ~ spl1_29
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1562,f1516,f330,f23689]) ).

fof(f1516,plain,
    ( spl1_114
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_114])]) ).

fof(f1562,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1552]) ).

fof(f1552,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK0(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f331]) ).

fof(f1517,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) )
    | ~ spl1_114 ),
    inference(avatar_component_clause,[],[f1516]) ).

fof(f23687,plain,
    ( spl1_672
    | ~ spl1_17
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1487,f1423,f236,f23685]) ).

fof(f23685,plain,
    ( spl1_672
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_672])]) ).

fof(f1423,plain,
    ( spl1_112
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_112])]) ).

fof(f1487,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f237]) ).

fof(f1424,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_112 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f23561,plain,
    ( spl1_333
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f22343,f19649,f297,f5984]) ).

fof(f23560,plain,
    ( spl1_671
    | ~ spl1_16
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1486,f1423,f232,f23558]) ).

fof(f23558,plain,
    ( spl1_671
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_671])]) ).

fof(f1486,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f233]) ).

fof(f23555,plain,
    ( spl1_670
    | ~ spl1_17
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1475,f1419,f236,f23553]) ).

fof(f23553,plain,
    ( spl1_670
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_670])]) ).

fof(f1419,plain,
    ( spl1_111
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).

fof(f1475,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f237]) ).

fof(f1420,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_111 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f23550,plain,
    ( spl1_669
    | ~ spl1_16
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1474,f1419,f232,f23548]) ).

fof(f23548,plain,
    ( spl1_669
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_669])]) ).

fof(f1474,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f233]) ).

fof(f23546,plain,
    ( spl1_668
    | ~ spl1_17
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1466,f1415,f236,f23544]) ).

fof(f23544,plain,
    ( spl1_668
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_668])]) ).

fof(f1415,plain,
    ( spl1_110
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_110])]) ).

fof(f1466,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f237]) ).

fof(f1416,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_110 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f23542,plain,
    ( spl1_667
    | ~ spl1_16
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1465,f1415,f232,f23540]) ).

fof(f23540,plain,
    ( spl1_667
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_667])]) ).

fof(f1465,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f233]) ).

fof(f23537,plain,
    ( spl1_666
    | ~ spl1_17
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1454,f1410,f236,f23535]) ).

fof(f23535,plain,
    ( spl1_666
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_666])]) ).

fof(f1410,plain,
    ( spl1_109
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_109])]) ).

fof(f1454,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f237]) ).

fof(f1411,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_109 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f23532,plain,
    ( spl1_665
    | ~ spl1_16
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1453,f1410,f232,f23530]) ).

fof(f23530,plain,
    ( spl1_665
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_665])]) ).

fof(f1453,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f233]) ).

fof(f23168,plain,
    ( ~ spl1_9
    | spl1_76
    | ~ spl1_3
    | spl1_2
    | ~ spl1_613 ),
    inference(avatar_split_clause,[],[f20196,f19772,f145,f150,f975,f179]) ).

fof(f19772,plain,
    ( spl1_613
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_613])]) ).

fof(f20196,plain,
    ( ~ aNaturalNumber0(xm)
    | sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | spl1_2
    | ~ spl1_613 ),
    inference(resolution,[],[f19773,f147]) ).

fof(f19773,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) )
    | ~ spl1_613 ),
    inference(avatar_component_clause,[],[f19772]) ).

fof(f22972,plain,
    ( spl1_664
    | ~ spl1_4
    | ~ spl1_151 ),
    inference(avatar_split_clause,[],[f2314,f2277,f155,f22970]) ).

fof(f22970,plain,
    ( spl1_664
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_664])]) ).

fof(f2314,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_151 ),
    inference(resolution,[],[f2278,f157]) ).

fof(f22968,plain,
    ( spl1_663
    | ~ spl1_3
    | ~ spl1_151 ),
    inference(avatar_split_clause,[],[f2313,f2277,f150,f22966]) ).

fof(f22966,plain,
    ( spl1_663
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_663])]) ).

fof(f2313,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_151 ),
    inference(resolution,[],[f2278,f152]) ).

fof(f22964,plain,
    ( spl1_662
    | ~ spl1_4
    | ~ spl1_150 ),
    inference(avatar_split_clause,[],[f2305,f2273,f155,f22962]) ).

fof(f22962,plain,
    ( spl1_662
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_662])]) ).

fof(f2305,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_150 ),
    inference(resolution,[],[f2274,f157]) ).

fof(f22960,plain,
    ( spl1_661
    | ~ spl1_332
    | ~ spl1_340 ),
    inference(avatar_split_clause,[],[f6087,f6084,f5980,f22958]) ).

fof(f6084,plain,
    ( spl1_340
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_340])]) ).

fof(f6087,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_332
    | ~ spl1_340 ),
    inference(forward_demodulation,[],[f6085,f5982]) ).

fof(f6085,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm) )
    | ~ spl1_340 ),
    inference(avatar_component_clause,[],[f6084]) ).

fof(f22798,plain,
    ( spl1_332
    | ~ spl1_4
    | ~ spl1_475
    | ~ spl1_617 ),
    inference(avatar_split_clause,[],[f22756,f20192,f10740,f155,f5980]) ).

fof(f10740,plain,
    ( spl1_475
  <=> ! [X0] :
        ( xn != sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_475])]) ).

fof(f22756,plain,
    ( ~ aNaturalNumber0(xn)
    | sz10 = xn
    | ~ spl1_475
    | ~ spl1_617 ),
    inference(trivial_inequality_removal,[],[f22717]) ).

fof(f22717,plain,
    ( xn != xn
    | ~ aNaturalNumber0(xn)
    | sz10 = xn
    | ~ spl1_475
    | ~ spl1_617 ),
    inference(superposition,[],[f10741,f20194]) ).

fof(f10741,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 )
    | ~ spl1_475 ),
    inference(avatar_component_clause,[],[f10740]) ).

fof(f22797,plain,
    ( spl1_660
    | ~ spl1_3
    | ~ spl1_150 ),
    inference(avatar_split_clause,[],[f2304,f2273,f150,f22795]) ).

fof(f22795,plain,
    ( spl1_660
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_660])]) ).

fof(f2304,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_150 ),
    inference(resolution,[],[f2274,f152]) ).

fof(f22793,plain,
    ( spl1_659
    | ~ spl1_4
    | ~ spl1_149 ),
    inference(avatar_split_clause,[],[f2296,f2269,f155,f22791]) ).

fof(f22791,plain,
    ( spl1_659
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_659])]) ).

fof(f2296,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_149 ),
    inference(resolution,[],[f2270,f157]) ).

fof(f22789,plain,
    ( spl1_658
    | ~ spl1_3
    | ~ spl1_149 ),
    inference(avatar_split_clause,[],[f2295,f2269,f150,f22787]) ).

fof(f22787,plain,
    ( spl1_658
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_658])]) ).

fof(f2295,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_149 ),
    inference(resolution,[],[f2270,f152]) ).

fof(f22785,plain,
    ( spl1_657
    | ~ spl1_4
    | ~ spl1_148 ),
    inference(avatar_split_clause,[],[f2287,f2265,f155,f22783]) ).

fof(f22783,plain,
    ( spl1_657
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_657])]) ).

fof(f2287,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_4
    | ~ spl1_148 ),
    inference(resolution,[],[f2266,f157]) ).

fof(f22781,plain,
    ( spl1_656
    | ~ spl1_3
    | ~ spl1_148 ),
    inference(avatar_split_clause,[],[f2286,f2265,f150,f22779]) ).

fof(f22779,plain,
    ( spl1_656
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_656])]) ).

fof(f2286,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_3
    | ~ spl1_148 ),
    inference(resolution,[],[f2266,f152]) ).

fof(f22777,plain,
    ( spl1_655
    | ~ spl1_17
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1397,f1360,f236,f22775]) ).

fof(f22775,plain,
    ( spl1_655
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_655])]) ).

fof(f1360,plain,
    ( spl1_107
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).

fof(f1397,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f237]) ).

fof(f1361,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_107 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f22773,plain,
    ( spl1_654
    | ~ spl1_16
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1396,f1360,f232,f22771]) ).

fof(f22771,plain,
    ( spl1_654
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_654])]) ).

fof(f1396,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f233]) ).

fof(f22769,plain,
    ( spl1_653
    | ~ spl1_17
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1387,f1356,f236,f22767]) ).

fof(f22767,plain,
    ( spl1_653
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_653])]) ).

fof(f1356,plain,
    ( spl1_106
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_106])]) ).

fof(f1387,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f237]) ).

fof(f1357,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_106 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f22765,plain,
    ( spl1_652
    | ~ spl1_16
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1386,f1356,f232,f22763]) ).

fof(f22763,plain,
    ( spl1_652
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_652])]) ).

fof(f1386,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f233]) ).

fof(f22761,plain,
    ( spl1_651
    | ~ spl1_17
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1376,f1352,f236,f22759]) ).

fof(f22759,plain,
    ( spl1_651
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_651])]) ).

fof(f1352,plain,
    ( spl1_105
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_105])]) ).

fof(f1376,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f237]) ).

fof(f1353,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_105 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f22710,plain,
    ( spl1_650
    | ~ spl1_16
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1375,f1352,f232,f22708]) ).

fof(f22708,plain,
    ( spl1_650
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_650])]) ).

fof(f1375,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f233]) ).

fof(f22706,plain,
    ( spl1_649
    | ~ spl1_17
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1366,f1348,f236,f22704]) ).

fof(f22704,plain,
    ( spl1_649
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_649])]) ).

fof(f1348,plain,
    ( spl1_104
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_104])]) ).

fof(f1366,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f237]) ).

fof(f1349,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_104 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f22702,plain,
    ( spl1_648
    | ~ spl1_16
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1365,f1348,f232,f22700]) ).

fof(f22700,plain,
    ( spl1_648
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_648])]) ).

fof(f1365,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f233]) ).

fof(f22475,plain,
    ( spl1_333
    | ~ spl1_25
    | ~ spl1_612 ),
    inference(avatar_split_clause,[],[f22343,f19649,f297,f5984]) ).

fof(f22399,plain,
    ( spl1_647
    | ~ spl1_19
    | ~ spl1_146 ),
    inference(avatar_split_clause,[],[f2260,f2164,f257,f22397]) ).

fof(f22397,plain,
    ( spl1_647
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_647])]) ).

fof(f257,plain,
    ( spl1_19
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

fof(f2164,plain,
    ( spl1_146
  <=> ! [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,[spl1_146])]) ).

fof(f2260,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_146 ),
    inference(duplicate_literal_removal,[],[f2244]) ).

fof(f2244,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtmndt0(X0,X1),X2) = sdtasdt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_146 ),
    inference(resolution,[],[f2165,f258]) ).

fof(f258,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f2165,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_146 ),
    inference(avatar_component_clause,[],[f2164]) ).

fof(f22395,plain,
    ( spl1_646
    | ~ spl1_19
    | ~ spl1_145 ),
    inference(avatar_split_clause,[],[f2237,f2160,f257,f22393]) ).

fof(f22393,plain,
    ( spl1_646
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_646])]) ).

fof(f2160,plain,
    ( spl1_145
  <=> ! [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,[spl1_145])]) ).

fof(f2237,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_145 ),
    inference(duplicate_literal_removal,[],[f2221]) ).

fof(f2221,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtmndt0(X0,X1),X2) = sdtpldt0(X2,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_145 ),
    inference(resolution,[],[f2161,f258]) ).

fof(f2161,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_145 ),
    inference(avatar_component_clause,[],[f2160]) ).

fof(f22391,plain,
    ( spl1_645
    | ~ spl1_19
    | ~ spl1_144 ),
    inference(avatar_split_clause,[],[f2209,f2156,f257,f22389]) ).

fof(f22389,plain,
    ( spl1_645
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_645])]) ).

fof(f2209,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_144 ),
    inference(duplicate_literal_removal,[],[f2193]) ).

fof(f2193,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X2,sK0(X1,X0)) = sdtasdt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_144 ),
    inference(resolution,[],[f2157,f258]) ).

fof(f22387,plain,
    ( spl1_644
    | ~ spl1_19
    | ~ spl1_143 ),
    inference(avatar_split_clause,[],[f2186,f2152,f257,f22385]) ).

fof(f22385,plain,
    ( spl1_644
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_644])]) ).

fof(f2186,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_143 ),
    inference(duplicate_literal_removal,[],[f2170]) ).

fof(f2170,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,sK0(X1,X0)) = sdtpldt0(sK0(X1,X0),X2)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_143 ),
    inference(resolution,[],[f2153,f258]) ).

fof(f22383,plain,
    ( spl1_643
    | ~ spl1_101
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1766,f1544,f1223,f22381]) ).

fof(f22381,plain,
    ( spl1_643
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_643])]) ).

fof(f1766,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1748]) ).

fof(f1748,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f1224]) ).

fof(f22379,plain,
    ( spl1_642
    | ~ spl1_100
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1765,f1544,f1219,f22377]) ).

fof(f22377,plain,
    ( spl1_642
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_642])]) ).

fof(f1765,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1749]) ).

fof(f1749,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f1220]) ).

fof(f22375,plain,
    ( spl1_641
    | ~ spl1_101
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1745,f1540,f1223,f22373]) ).

fof(f22373,plain,
    ( spl1_641
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_641])]) ).

fof(f1745,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1727]) ).

fof(f1727,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f1224]) ).

fof(f22342,plain,
    ( spl1_640
    | ~ spl1_100
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1744,f1540,f1219,f22340]) ).

fof(f22340,plain,
    ( spl1_640
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_640])]) ).

fof(f1744,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1728]) ).

fof(f1728,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f1220]) ).

fof(f22338,plain,
    ( spl1_639
    | ~ spl1_101
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1724,f1536,f1223,f22336]) ).

fof(f22336,plain,
    ( spl1_639
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_639])]) ).

fof(f1724,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1706]) ).

fof(f1706,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f1224]) ).

fof(f22334,plain,
    ( spl1_638
    | ~ spl1_100
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1723,f1536,f1219,f22332]) ).

fof(f22332,plain,
    ( spl1_638
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_638])]) ).

fof(f1723,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1707]) ).

fof(f1707,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f1220]) ).

fof(f22330,plain,
    ( spl1_637
    | ~ spl1_101
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1703,f1532,f1223,f22328]) ).

fof(f22328,plain,
    ( spl1_637
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_637])]) ).

fof(f1703,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1685]) ).

fof(f1685,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f1224]) ).

fof(f22326,plain,
    ( spl1_636
    | ~ spl1_100
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1702,f1532,f1219,f22324]) ).

fof(f22324,plain,
    ( spl1_636
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_636])]) ).

fof(f1702,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1686]) ).

fof(f1686,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f1220]) ).

fof(f22322,plain,
    ( spl1_635
    | ~ spl1_101
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1682,f1528,f1223,f22320]) ).

fof(f22320,plain,
    ( spl1_635
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_635])]) ).

fof(f1682,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1664]) ).

fof(f1664,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f1224]) ).

fof(f22318,plain,
    ( spl1_634
    | ~ spl1_100
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1681,f1528,f1219,f22316]) ).

fof(f22316,plain,
    ( spl1_634
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_634])]) ).

fof(f1681,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1665]) ).

fof(f1665,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f1220]) ).

fof(f22314,plain,
    ( spl1_633
    | ~ spl1_101
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1661,f1524,f1223,f22312]) ).

fof(f22312,plain,
    ( spl1_633
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_633])]) ).

fof(f1661,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1643]) ).

fof(f1643,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f1224]) ).

fof(f22310,plain,
    ( spl1_632
    | ~ spl1_100
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1660,f1524,f1219,f22308]) ).

fof(f22308,plain,
    ( spl1_632
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_632])]) ).

fof(f1660,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1644]) ).

fof(f1644,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f1220]) ).

fof(f22246,plain,
    ( spl1_631
    | ~ spl1_37
    | ~ spl1_607
    | ~ spl1_630 ),
    inference(avatar_split_clause,[],[f22242,f22239,f19082,f407,f22244]) ).

fof(f22244,plain,
    ( spl1_631
  <=> ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(xn,sK0(X1,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_631])]) ).

fof(f407,plain,
    ( spl1_37
  <=> sz00 = sdtasdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).

fof(f19082,plain,
    ( spl1_607
  <=> xn = sdtasdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_607])]) ).

fof(f22239,plain,
    ( spl1_630
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_630])]) ).

fof(f22242,plain,
    ( ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(xn,sK0(X1,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_37
    | ~ spl1_607
    | ~ spl1_630 ),
    inference(forward_demodulation,[],[f22240,f20625]) ).

fof(f20625,plain,
    ( sz00 = xn
    | ~ spl1_37
    | ~ spl1_607 ),
    inference(superposition,[],[f19084,f409]) ).

fof(f409,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl1_37 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f19084,plain,
    ( xn = sdtasdt0(sz00,xn)
    | ~ spl1_607 ),
    inference(avatar_component_clause,[],[f19082]) ).

fof(f22240,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_630 ),
    inference(avatar_component_clause,[],[f22239]) ).

fof(f22241,plain,
    ( spl1_630
    | ~ spl1_101
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1587,f1520,f1223,f22239]) ).

fof(f1587,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1569]) ).

fof(f1569,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f1224]) ).

fof(f22007,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | spl1_333
    | spl1_629
    | ~ spl1_50
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f690,f555,f518,f22005,f5984,f165,f155]) ).

fof(f22005,plain,
    ( spl1_629
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_629])]) ).

fof(f518,plain,
    ( spl1_50
  <=> ! [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,[spl1_50])]) ).

fof(f690,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xn),xn)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_50
    | ~ spl1_56 ),
    inference(superposition,[],[f519,f557]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_50 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f21940,plain,
    ( spl1_628
    | ~ spl1_333
    | ~ spl1_627 ),
    inference(avatar_split_clause,[],[f21936,f21933,f5984,f21938]) ).

fof(f21938,plain,
    ( spl1_628
  <=> ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(xn,sK0(X1,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_628])]) ).

fof(f21933,plain,
    ( spl1_627
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_627])]) ).

fof(f21936,plain,
    ( ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(xn,sK0(X1,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_333
    | ~ spl1_627 ),
    inference(forward_demodulation,[],[f21934,f5986]) ).

fof(f21934,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_627 ),
    inference(avatar_component_clause,[],[f21933]) ).

fof(f21935,plain,
    ( spl1_627
    | ~ spl1_100
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1586,f1520,f1219,f21933]) ).

fof(f1586,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1570]) ).

fof(f1570,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f1220]) ).

fof(f21831,plain,
    ( spl1_333
    | ~ spl1_37
    | ~ spl1_607 ),
    inference(avatar_split_clause,[],[f20625,f19082,f407,f5984]) ).

fof(f21609,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | spl1_333
    | spl1_626
    | ~ spl1_50
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f689,f555,f518,f21607,f5984,f165,f155]) ).

fof(f21607,plain,
    ( spl1_626
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_626])]) ).

fof(f689,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(X0,xn))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_50
    | ~ spl1_56 ),
    inference(superposition,[],[f519,f557]) ).

fof(f21605,plain,
    ( spl1_625
    | ~ spl1_37
    | ~ spl1_607
    | ~ spl1_624 ),
    inference(avatar_split_clause,[],[f21601,f21598,f19082,f407,f21603]) ).

fof(f21603,plain,
    ( spl1_625
  <=> ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(sK0(X1,X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_625])]) ).

fof(f21598,plain,
    ( spl1_624
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_624])]) ).

fof(f21601,plain,
    ( ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(sK0(X1,X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_37
    | ~ spl1_607
    | ~ spl1_624 ),
    inference(forward_demodulation,[],[f21599,f20625]) ).

fof(f21599,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_624 ),
    inference(avatar_component_clause,[],[f21598]) ).

fof(f21600,plain,
    ( spl1_624
    | ~ spl1_101
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1566,f1516,f1223,f21598]) ).

fof(f1566,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1548]) ).

fof(f1548,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_101
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f1224]) ).

fof(f20624,plain,
    ( spl1_623
    | ~ spl1_333
    | ~ spl1_622 ),
    inference(avatar_split_clause,[],[f20620,f20617,f5984,f20622]) ).

fof(f20622,plain,
    ( spl1_623
  <=> ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(sK0(X1,X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_623])]) ).

fof(f20617,plain,
    ( spl1_622
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_622])]) ).

fof(f20620,plain,
    ( ! [X0,X1] :
        ( sK0(X1,X0) = sdtpldt0(sK0(X1,X0),xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_333
    | ~ spl1_622 ),
    inference(forward_demodulation,[],[f20618,f5986]) ).

fof(f20618,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_622 ),
    inference(avatar_component_clause,[],[f20617]) ).

fof(f20619,plain,
    ( spl1_622
    | ~ spl1_100
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1565,f1516,f1219,f20617]) ).

fof(f1565,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1549]) ).

fof(f1549,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_100
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f1220]) ).

fof(f20612,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_7
    | spl1_621
    | ~ spl1_50
    | ~ spl1_59 ),
    inference(avatar_split_clause,[],[f756,f702,f518,f20610,f170,f160,f165]) ).

fof(f170,plain,
    ( spl1_7
  <=> sz00 = sz10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f20610,plain,
    ( spl1_621
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_621])]) ).

fof(f702,plain,
    ( spl1_59
  <=> sz00 = sdtasdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).

fof(f756,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_59 ),
    inference(superposition,[],[f519,f704]) ).

fof(f704,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl1_59 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f20605,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_7
    | spl1_620
    | ~ spl1_50
    | ~ spl1_59 ),
    inference(avatar_split_clause,[],[f755,f702,f518,f20603,f170,f160,f165]) ).

fof(f20603,plain,
    ( spl1_620
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_620])]) ).

fof(f755,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_59 ),
    inference(superposition,[],[f519,f704]) ).

fof(f20598,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_7
    | spl1_619
    | ~ spl1_49
    | ~ spl1_58 ),
    inference(avatar_split_clause,[],[f744,f697,f514,f20596,f170,f160,f165]) ).

fof(f20596,plain,
    ( spl1_619
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_619])]) ).

fof(f514,plain,
    ( spl1_49
  <=> ! [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,[spl1_49])]) ).

fof(f697,plain,
    ( spl1_58
  <=> sz00 = sdtasdt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).

fof(f744,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_58 ),
    inference(superposition,[],[f515,f699]) ).

fof(f699,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl1_58 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f515,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_49 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f20327,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | spl1_333
    | spl1_618
    | ~ spl1_49
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f668,f545,f514,f20325,f5984,f165,f155]) ).

fof(f20325,plain,
    ( spl1_618
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),xn)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_618])]) ).

fof(f668,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),xn)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_49
    | ~ spl1_54 ),
    inference(superposition,[],[f515,f547]) ).

fof(f20195,plain,
    ( spl1_617
    | ~ spl1_30
    | ~ spl1_185
    | ~ spl1_241
    | ~ spl1_267
    | ~ spl1_333 ),
    inference(avatar_split_clause,[],[f18431,f5984,f4592,f4373,f3383,f345,f20192]) ).

fof(f4373,plain,
    ( spl1_241
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_241])]) ).

fof(f4592,plain,
    ( spl1_267
  <=> sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_267])]) ).

fof(f18431,plain,
    ( xn = sdtasdt0(xn,xn)
    | ~ spl1_30
    | ~ spl1_185
    | ~ spl1_241
    | ~ spl1_267
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f18380,f17611]) ).

fof(f17611,plain,
    ( xn = sdtasdt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_30
    | ~ spl1_185
    | ~ spl1_241
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6611,f3385]) ).

fof(f6611,plain,
    ( xn = sdtasdt0(xn,sdtasdt0(xm,xn))
    | ~ spl1_30
    | ~ spl1_241
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6581,f6551]) ).

fof(f6581,plain,
    ( xn = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_241
    | ~ spl1_333 ),
    inference(superposition,[],[f4375,f5986]) ).

fof(f4375,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_241 ),
    inference(avatar_component_clause,[],[f4373]) ).

fof(f18380,plain,
    ( xn = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),xn)
    | ~ spl1_267
    | ~ spl1_333 ),
    inference(superposition,[],[f4594,f5986]) ).

fof(f4594,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_267 ),
    inference(avatar_component_clause,[],[f4592]) ).

fof(f20187,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_7
    | spl1_616
    | ~ spl1_49
    | ~ spl1_58 ),
    inference(avatar_split_clause,[],[f743,f697,f514,f20185,f170,f160,f165]) ).

fof(f20185,plain,
    ( spl1_616
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_616])]) ).

fof(f743,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_58 ),
    inference(superposition,[],[f515,f699]) ).

fof(f20101,plain,
    ( ~ spl1_6
    | ~ spl1_4
    | spl1_7
    | spl1_615
    | ~ spl1_49
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f688,f555,f514,f20099,f170,f155,f165]) ).

fof(f20099,plain,
    ( spl1_615
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_615])]) ).

fof(f688,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_56 ),
    inference(superposition,[],[f515,f557]) ).

fof(f20008,plain,
    ( ~ spl1_6
    | ~ spl1_4
    | spl1_7
    | spl1_614
    | ~ spl1_49
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f687,f555,f514,f20006,f170,f155,f165]) ).

fof(f20006,plain,
    ( spl1_614
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_614])]) ).

fof(f687,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_56 ),
    inference(superposition,[],[f515,f557]) ).

fof(f19774,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | spl1_333
    | spl1_613
    | ~ spl1_49
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f667,f545,f514,f19772,f5984,f165,f155]) ).

fof(f667,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_49
    | ~ spl1_54 ),
    inference(superposition,[],[f515,f547]) ).

fof(f19652,plain,
    ( spl1_612
    | ~ spl1_30
    | ~ spl1_209
    | ~ spl1_333
    | ~ spl1_407 ),
    inference(avatar_split_clause,[],[f18246,f8045,f5984,f3851,f345,f19649]) ).

fof(f8045,plain,
    ( spl1_407
  <=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_407])]) ).

fof(f18246,plain,
    ( xn = sdtasdt0(xn,sz00)
    | ~ spl1_30
    | ~ spl1_209
    | ~ spl1_333
    | ~ spl1_407 ),
    inference(forward_demodulation,[],[f17718,f3853]) ).

fof(f17718,plain,
    ( xn = sdtasdt0(xn,sdtmndt0(xn,xn))
    | ~ spl1_30
    | ~ spl1_333
    | ~ spl1_407 ),
    inference(forward_demodulation,[],[f17688,f10810]) ).

fof(f10810,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_30
    | ~ spl1_333 ),
    inference(superposition,[],[f347,f5986]) ).

fof(f17688,plain,
    ( xn = sdtasdt0(xn,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_333
    | ~ spl1_407 ),
    inference(superposition,[],[f8047,f5986]) ).

fof(f8047,plain,
    ( sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_407 ),
    inference(avatar_component_clause,[],[f8045]) ).

fof(f19647,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | spl1_1
    | spl1_611
    | ~ spl1_50
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f680,f550,f518,f19645,f140,f165,f150]) ).

fof(f140,plain,
    ( spl1_1
  <=> sz00 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f19645,plain,
    ( spl1_611
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_611])]) ).

fof(f550,plain,
    ( spl1_55
  <=> xm = sdtasdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).

fof(f680,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),xm)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_50
    | ~ spl1_55 ),
    inference(superposition,[],[f519,f552]) ).

fof(f552,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl1_55 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f19559,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | spl1_1
    | spl1_610
    | ~ spl1_50
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f679,f550,f518,f19557,f140,f165,f150]) ).

fof(f19557,plain,
    ( spl1_610
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_610])]) ).

fof(f679,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(X0,xm))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_50
    | ~ spl1_55 ),
    inference(superposition,[],[f519,f552]) ).

fof(f19473,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_7
    | spl1_609
    | ~ spl1_49
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f678,f550,f514,f19471,f170,f150,f165]) ).

fof(f19471,plain,
    ( spl1_609
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_609])]) ).

fof(f678,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_55 ),
    inference(superposition,[],[f515,f552]) ).

fof(f19218,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_333
    | spl1_608
    | ~ spl1_37
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f598,f518,f407,f19216,f5984,f160,f155]) ).

fof(f19216,plain,
    ( spl1_608
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_608])]) ).

fof(f598,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_37
    | ~ spl1_50 ),
    inference(superposition,[],[f519,f409]) ).

fof(f19085,plain,
    ( spl1_607
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_55
    | ~ spl1_62
    | ~ spl1_97
    | ~ spl1_209
    | ~ spl1_213
    | ~ spl1_333
    | ~ spl1_340
    | ~ spl1_406 ),
    inference(avatar_split_clause,[],[f11106,f7869,f6084,f5984,f3964,f3851,f1206,f717,f550,f345,f155,f19082]) ).

fof(f717,plain,
    ( spl1_62
  <=> sz10 = sdtpldt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).

fof(f7869,plain,
    ( spl1_406
  <=> sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_406])]) ).

fof(f11106,plain,
    ( xn = sdtasdt0(sz00,xn)
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_55
    | ~ spl1_62
    | ~ spl1_97
    | ~ spl1_209
    | ~ spl1_213
    | ~ spl1_333
    | ~ spl1_340
    | ~ spl1_406 ),
    inference(forward_demodulation,[],[f10896,f3853]) ).

fof(f10896,plain,
    ( xn = sdtasdt0(sdtmndt0(xn,xn),xn)
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_55
    | ~ spl1_62
    | ~ spl1_97
    | ~ spl1_213
    | ~ spl1_333
    | ~ spl1_340
    | ~ spl1_406 ),
    inference(forward_demodulation,[],[f10864,f10782]) ).

fof(f10782,plain,
    ( xn = sdtasdt0(xn,xm)
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_55
    | ~ spl1_62
    | ~ spl1_97
    | ~ spl1_213
    | ~ spl1_333
    | ~ spl1_340 ),
    inference(forward_demodulation,[],[f6602,f10756]) ).

fof(f10756,plain,
    ( xm = sdtpldt0(xn,xm)
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_55
    | ~ spl1_62
    | ~ spl1_333
    | ~ spl1_340 ),
    inference(forward_demodulation,[],[f6732,f552]) ).

fof(f6732,plain,
    ( sdtasdt0(sz10,xm) = sdtpldt0(xn,xm)
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_62
    | ~ spl1_333
    | ~ spl1_340 ),
    inference(forward_demodulation,[],[f6731,f6551]) ).

fof(f6731,plain,
    ( sdtasdt0(sz10,xm) = sdtpldt0(sdtasdt0(xn,xm),xm)
    | ~ spl1_4
    | ~ spl1_62
    | ~ spl1_333
    | ~ spl1_340 ),
    inference(forward_demodulation,[],[f6719,f6562]) ).

fof(f6562,plain,
    ( sz10 = sdtpldt0(xn,sz10)
    | ~ spl1_62
    | ~ spl1_333 ),
    inference(superposition,[],[f719,f5986]) ).

fof(f719,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl1_62 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f6719,plain,
    ( sdtpldt0(sdtasdt0(xn,xm),xm) = sdtasdt0(sdtpldt0(xn,sz10),xm)
    | ~ spl1_4
    | ~ spl1_340 ),
    inference(resolution,[],[f6085,f157]) ).

fof(f6602,plain,
    ( xn = sdtasdt0(xn,sdtpldt0(xn,xm))
    | ~ spl1_30
    | ~ spl1_97
    | ~ spl1_213
    | ~ spl1_333 ),
    inference(forward_demodulation,[],[f6601,f1208]) ).

fof(f10864,plain,
    ( xn = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),xn)
    | ~ spl1_333
    | ~ spl1_406 ),
    inference(superposition,[],[f7871,f5986]) ).

fof(f7871,plain,
    ( sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00)
    | ~ spl1_406 ),
    inference(avatar_component_clause,[],[f7869]) ).

fof(f19080,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_7
    | spl1_606
    | ~ spl1_49
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f677,f550,f514,f19078,f170,f150,f165]) ).

fof(f19078,plain,
    ( spl1_606
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_606])]) ).

fof(f677,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_55 ),
    inference(superposition,[],[f515,f552]) ).

fof(f18994,plain,
    ( ~ spl1_6
    | ~ spl1_4
    | spl1_7
    | spl1_605
    | ~ spl1_50
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f670,f545,f518,f18992,f170,f155,f165]) ).

fof(f18992,plain,
    ( spl1_605
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(X0,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_605])]) ).

fof(f670,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_54 ),
    inference(superposition,[],[f519,f547]) ).

fof(f18901,plain,
    ( ~ spl1_6
    | ~ spl1_4
    | spl1_7
    | spl1_604
    | ~ spl1_50
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f669,f545,f518,f18899,f170,f155,f165]) ).

fof(f18899,plain,
    ( spl1_604
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_604])]) ).

fof(f669,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_54 ),
    inference(superposition,[],[f519,f547]) ).

fof(f18815,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_7
    | spl1_603
    | ~ spl1_50
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f660,f540,f518,f18813,f170,f150,f165]) ).

fof(f18813,plain,
    ( spl1_603
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_603])]) ).

fof(f660,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_53 ),
    inference(superposition,[],[f519,f542]) ).

fof(f18723,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_7
    | spl1_602
    | ~ spl1_50
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f659,f540,f518,f18721,f170,f150,f165]) ).

fof(f18721,plain,
    ( spl1_602
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_602])]) ).

fof(f659,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_53 ),
    inference(superposition,[],[f519,f542]) ).

fof(f18528,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | spl1_1
    | spl1_601
    | ~ spl1_49
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f658,f540,f514,f18526,f140,f165,f150]) ).

fof(f18526,plain,
    ( spl1_601
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xm,X0),xm)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_601])]) ).

fof(f658,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xm,X0),xm)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_49
    | ~ spl1_53 ),
    inference(superposition,[],[f515,f542]) ).

fof(f18435,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | spl1_1
    | spl1_600
    | ~ spl1_49
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f657,f540,f514,f18433,f140,f165,f150]) ).

fof(f18433,plain,
    ( spl1_600
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_600])]) ).

fof(f657,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtasdt0(xm,X0))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_49
    | ~ spl1_53 ),
    inference(superposition,[],[f515,f542]) ).

fof(f18240,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_333
    | spl1_599
    | ~ spl1_37
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f597,f518,f407,f18238,f5984,f160,f155]) ).

fof(f18238,plain,
    ( spl1_599
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_599])]) ).

fof(f597,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_37
    | ~ spl1_50 ),
    inference(superposition,[],[f519,f409]) ).

fof(f18177,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_1
    | spl1_598
    | ~ spl1_30
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f588,f518,f345,f18175,f140,f160,f150]) ).

fof(f18175,plain,
    ( spl1_598
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_598])]) ).

fof(f588,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_30
    | ~ spl1_50 ),
    inference(superposition,[],[f519,f347]) ).

fof(f18052,plain,
    ( spl1_597
    | ~ spl1_30
    | ~ spl1_333
    | ~ spl1_495 ),
    inference(avatar_split_clause,[],[f17720,f11576,f5984,f345,f18049]) ).

fof(f17720,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl1_30
    | ~ spl1_333
    | ~ spl1_495 ),
    inference(forward_demodulation,[],[f17707,f10810]) ).

fof(f17707,plain,
    ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_333
    | ~ spl1_495 ),
    inference(superposition,[],[f11578,f5986]) ).

fof(f17956,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_333
    | spl1_596
    | ~ spl1_25
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f576,f514,f297,f17954,f5984,f160,f155]) ).

fof(f17954,plain,
    ( spl1_596
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_596])]) ).

fof(f576,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_25
    | ~ spl1_49 ),
    inference(superposition,[],[f515,f299]) ).

fof(f17827,plain,
    ( spl1_595
    | ~ spl1_333
    | ~ spl1_594 ),
    inference(avatar_split_clause,[],[f17823,f17818,f5984,f17825]) ).

fof(f17825,plain,
    ( spl1_595
  <=> ! [X0] :
        ( ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sdtlseqdt0(xn,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_595])]) ).

fof(f17818,plain,
    ( spl1_594
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_594])]) ).

fof(f17823,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sdtlseqdt0(xn,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_333
    | ~ spl1_594 ),
    inference(forward_demodulation,[],[f17822,f5986]) ).

fof(f17822,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtlseqdt0(xn,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(sz00,X0) )
    | ~ spl1_333
    | ~ spl1_594 ),
    inference(forward_demodulation,[],[f17821,f5986]) ).

fof(f17821,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) )
    | ~ spl1_333
    | ~ spl1_594 ),
    inference(forward_demodulation,[],[f17819,f5986]) ).

fof(f17819,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) )
    | ~ spl1_594 ),
    inference(avatar_component_clause,[],[f17818]) ).

fof(f17820,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_1
    | spl1_594
    | ~ spl1_30
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f587,f518,f345,f17818,f140,f160,f150]) ).

fof(f587,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_30
    | ~ spl1_50 ),
    inference(superposition,[],[f519,f347]) ).

fof(f17544,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_333
    | spl1_593
    | ~ spl1_25
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f575,f514,f297,f17542,f5984,f160,f155]) ).

fof(f17542,plain,
    ( spl1_593
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_593])]) ).

fof(f575,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = xn
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_25
    | ~ spl1_49 ),
    inference(superposition,[],[f515,f299]) ).

fof(f17480,plain,
    ( spl1_592
    | ~ spl1_4
    | ~ spl1_54
    | ~ spl1_199
    | ~ spl1_388
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15207,f13098,f7732,f3806,f545,f155,f17477]) ).

fof(f17477,plain,
    ( spl1_592
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sz10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_592])]) ).

fof(f3806,plain,
    ( spl1_199
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_199])]) ).

fof(f7732,plain,
    ( spl1_388
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_388])]) ).

fof(f13098,plain,
    ( spl1_536
  <=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_536])]) ).

fof(f15207,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sz10)))
    | ~ spl1_4
    | ~ spl1_54
    | ~ spl1_199
    | ~ spl1_388
    | ~ spl1_536 ),
    inference(forward_demodulation,[],[f15002,f7965]) ).

fof(f7965,plain,
    ( sdtasdt0(xn,sdtpldt0(xn,sz10)) = sdtpldt0(xn,sdtasdt0(xn,xn))
    | ~ spl1_4
    | ~ spl1_54
    | ~ spl1_388 ),
    inference(forward_demodulation,[],[f7953,f547]) ).

fof(f7953,plain,
    ( sdtasdt0(xn,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,xn))
    | ~ spl1_4
    | ~ spl1_388 ),
    inference(resolution,[],[f7733,f157]) ).

fof(f7733,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10)) )
    | ~ spl1_388 ),
    inference(avatar_component_clause,[],[f7732]) ).

fof(f15002,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xn)))
    | ~ spl1_199
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3807]) ).

fof(f3807,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
    | ~ spl1_199 ),
    inference(avatar_component_clause,[],[f3806]) ).

fof(f13099,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ spl1_536 ),
    inference(avatar_component_clause,[],[f13098]) ).

fof(f17475,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_1
    | spl1_591
    | ~ spl1_18
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f566,f514,f252,f17473,f140,f160,f150]) ).

fof(f17473,plain,
    ( spl1_591
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_591])]) ).

fof(f252,plain,
    ( spl1_18
  <=> sz00 = sdtasdt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f566,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_18
    | ~ spl1_49 ),
    inference(superposition,[],[f515,f254]) ).

fof(f254,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f17408,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_1
    | spl1_590
    | ~ spl1_18
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f565,f514,f252,f17406,f140,f160,f150]) ).

fof(f17406,plain,
    ( spl1_590
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_590])]) ).

fof(f565,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | sz00 = xm
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_18
    | ~ spl1_49 ),
    inference(superposition,[],[f515,f254]) ).

fof(f16607,plain,
    ( spl1_589
    | ~ spl1_216
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15012,f13098,f3977,f16604]) ).

fof(f16604,plain,
    ( spl1_589
  <=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xn)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_589])]) ).

fof(f3977,plain,
    ( spl1_216
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_216])]) ).

fof(f15012,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xn)),sz00)
    | ~ spl1_216
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3978]) ).

fof(f3978,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
    | ~ spl1_216 ),
    inference(avatar_component_clause,[],[f3977]) ).

fof(f16492,plain,
    ( spl1_588
    | ~ spl1_214
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15010,f13098,f3969,f16489]) ).

fof(f16489,plain,
    ( spl1_588
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xn))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_588])]) ).

fof(f3969,plain,
    ( spl1_214
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_214])]) ).

fof(f15010,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xn)))
    | ~ spl1_214
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3970]) ).

fof(f3970,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
    | ~ spl1_214 ),
    inference(avatar_component_clause,[],[f3969]) ).

fof(f16399,plain,
    ( ~ spl1_6
    | spl1_587
    | ~ spl1_20
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1761,f1544,f265,f16397,f165]) ).

fof(f16397,plain,
    ( spl1_587
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_587])]) ).

fof(f1761,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1756]) ).

fof(f1756,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtasdt0(sz10,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f266]) ).

fof(f16384,plain,
    ( spl1_586
    | ~ spl1_206
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15008,f13098,f3835,f16381]) ).

fof(f16381,plain,
    ( spl1_586
  <=> sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xn)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_586])]) ).

fof(f3835,plain,
    ( spl1_206
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_206])]) ).

fof(f15008,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xn)),sz00)
    | ~ spl1_206
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3836]) ).

fof(f3836,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
    | ~ spl1_206 ),
    inference(avatar_component_clause,[],[f3835]) ).

fof(f16379,plain,
    ( ~ spl1_6
    | spl1_585
    | ~ spl1_20
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1740,f1540,f265,f16377,f165]) ).

fof(f16377,plain,
    ( spl1_585
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_585])]) ).

fof(f1740,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1735]) ).

fof(f1735,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtasdt0(sdtmndt0(X0,sz10),sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f266]) ).

fof(f16364,plain,
    ( ~ spl1_6
    | spl1_584
    | ~ spl1_20
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1719,f1536,f265,f16362,f165]) ).

fof(f16362,plain,
    ( spl1_584
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_584])]) ).

fof(f1719,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1714]) ).

fof(f1714,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtpldt0(sz00,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f266]) ).

fof(f16349,plain,
    ( ~ spl1_6
    | spl1_583
    | ~ spl1_20
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1698,f1532,f265,f16347,f165]) ).

fof(f16347,plain,
    ( spl1_583
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_583])]) ).

fof(f1698,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1693]) ).

fof(f1693,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtmndt0(X0,sz10) = sdtpldt0(sdtmndt0(X0,sz10),sz00)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f266]) ).

fof(f16334,plain,
    ( ~ spl1_6
    | spl1_582
    | ~ spl1_20
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1677,f1528,f265,f16332,f165]) ).

fof(f16332,plain,
    ( spl1_582
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_582])]) ).

fof(f1677,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1672]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtasdt0(sz10,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f266]) ).

fof(f16319,plain,
    ( ~ spl1_6
    | spl1_581
    | ~ spl1_20
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1656,f1524,f265,f16317,f165]) ).

fof(f16317,plain,
    ( spl1_581
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_581])]) ).

fof(f1656,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1651]) ).

fof(f1651,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtasdt0(sK0(sz10,X0),sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f266]) ).

fof(f16304,plain,
    ( spl1_580
    | ~ spl1_204
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15006,f13098,f3827,f16301]) ).

fof(f16301,plain,
    ( spl1_580
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xn))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_580])]) ).

fof(f3827,plain,
    ( spl1_204
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_204])]) ).

fof(f15006,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xn)))
    | ~ spl1_204
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3828]) ).

fof(f3828,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
    | ~ spl1_204 ),
    inference(avatar_component_clause,[],[f3827]) ).

fof(f16299,plain,
    ( ~ spl1_6
    | spl1_579
    | ~ spl1_20
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1582,f1520,f265,f16297,f165]) ).

fof(f16297,plain,
    ( spl1_579
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_579])]) ).

fof(f1582,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1577]) ).

fof(f1577,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtpldt0(sz00,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f266]) ).

fof(f16284,plain,
    ( ~ spl1_6
    | spl1_578
    | ~ spl1_20
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1561,f1516,f265,f16282,f165]) ).

fof(f16282,plain,
    ( spl1_578
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_578])]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1556]) ).

fof(f1556,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sK0(sz10,X0) = sdtpldt0(sK0(sz10,X0),sz00)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f266]) ).

fof(f16280,plain,
    ( spl1_577
    | ~ spl1_101
    | ~ spl1_108 ),
    inference(avatar_split_clause,[],[f1449,f1406,f1223,f16278]) ).

fof(f16278,plain,
    ( spl1_577
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_577])]) ).

fof(f1449,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 )
    | ~ spl1_101
    | ~ spl1_108 ),
    inference(duplicate_literal_removal,[],[f1431]) ).

fof(f1431,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtpldt0(X2,sdtmndt0(X0,X2)) = X0 )
    | ~ spl1_101
    | ~ spl1_108 ),
    inference(resolution,[],[f1407,f1224]) ).

fof(f16276,plain,
    ( spl1_576
    | ~ spl1_100
    | ~ spl1_108 ),
    inference(avatar_split_clause,[],[f1448,f1406,f1219,f16274]) ).

fof(f16274,plain,
    ( spl1_576
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtpldt0(X2,sK0(X2,X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_576])]) ).

fof(f1448,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtpldt0(X2,sK0(X2,X0)) = X0 )
    | ~ spl1_100
    | ~ spl1_108 ),
    inference(duplicate_literal_removal,[],[f1432]) ).

fof(f1432,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtpldt0(X2,sK0(X2,X0)) = X0 )
    | ~ spl1_100
    | ~ spl1_108 ),
    inference(resolution,[],[f1407,f1220]) ).

fof(f16272,plain,
    ( spl1_575
    | ~ spl1_34
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1334,f1223,f384,f16270]) ).

fof(f16270,plain,
    ( spl1_575
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_575])]) ).

fof(f1334,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_34
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1320]) ).

fof(f1320,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_34
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f385]) ).

fof(f16268,plain,
    ( spl1_574
    | ~ spl1_34
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1312,f1219,f384,f16266]) ).

fof(f16266,plain,
    ( spl1_574
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_574])]) ).

fof(f1312,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_34
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1298]) ).

fof(f1298,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtlseqdt0(X2,X1)
        | ~ sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_34
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f385]) ).

fof(f16264,plain,
    ( spl1_573
    | ~ spl1_17
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1192,f1113,f236,f16262]) ).

fof(f16262,plain,
    ( spl1_573
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_573])]) ).

fof(f1192,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f237]) ).

fof(f16260,plain,
    ( spl1_572
    | ~ spl1_16
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1191,f1113,f232,f16258]) ).

fof(f16258,plain,
    ( spl1_572
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_572])]) ).

fof(f1191,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f233]) ).

fof(f16256,plain,
    ( spl1_571
    | ~ spl1_17
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1184,f1109,f236,f16254]) ).

fof(f16254,plain,
    ( spl1_571
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_571])]) ).

fof(f1184,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f237]) ).

fof(f16252,plain,
    ( spl1_570
    | ~ spl1_200
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15003,f13098,f3810,f16249]) ).

fof(f16249,plain,
    ( spl1_570
  <=> sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_570])]) ).

fof(f3810,plain,
    ( spl1_200
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_200])]) ).

fof(f15003,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),sz00)
    | ~ spl1_200
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3811]) ).

fof(f3811,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
    | ~ spl1_200 ),
    inference(avatar_component_clause,[],[f3810]) ).

fof(f16247,plain,
    ( spl1_569
    | ~ spl1_16
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1183,f1109,f232,f16245]) ).

fof(f16245,plain,
    ( spl1_569
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_569])]) ).

fof(f1183,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f233]) ).

fof(f16243,plain,
    ( spl1_568
    | ~ spl1_17
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1176,f1105,f236,f16241]) ).

fof(f16241,plain,
    ( spl1_568
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_568])]) ).

fof(f1176,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f237]) ).

fof(f16239,plain,
    ( spl1_567
    | ~ spl1_16
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1175,f1105,f232,f16237]) ).

fof(f16237,plain,
    ( spl1_567
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_567])]) ).

fof(f1175,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f233]) ).

fof(f16235,plain,
    ( spl1_566
    | ~ spl1_17
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1168,f1101,f236,f16233]) ).

fof(f16233,plain,
    ( spl1_566
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_566])]) ).

fof(f1168,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f237]) ).

fof(f16231,plain,
    ( spl1_565
    | ~ spl1_16
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1167,f1101,f232,f16229]) ).

fof(f16229,plain,
    ( spl1_565
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_565])]) ).

fof(f1167,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f233]) ).

fof(f16227,plain,
    ( spl1_564
    | ~ spl1_17
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1160,f1097,f236,f16225]) ).

fof(f16225,plain,
    ( spl1_564
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_564])]) ).

fof(f1160,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f237]) ).

fof(f16223,plain,
    ( spl1_563
    | ~ spl1_16
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1159,f1097,f232,f16221]) ).

fof(f16221,plain,
    ( spl1_563
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_563])]) ).

fof(f1159,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f233]) ).

fof(f16219,plain,
    ( spl1_562
    | ~ spl1_17
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1152,f1093,f236,f16217]) ).

fof(f16217,plain,
    ( spl1_562
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_562])]) ).

fof(f1152,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f237]) ).

fof(f16215,plain,
    ( spl1_561
    | ~ spl1_16
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1151,f1093,f232,f16213]) ).

fof(f16213,plain,
    ( spl1_561
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_561])]) ).

fof(f1151,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f233]) ).

fof(f16211,plain,
    ( spl1_560
    | ~ spl1_17
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1144,f1089,f236,f16209]) ).

fof(f16209,plain,
    ( spl1_560
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_560])]) ).

fof(f1144,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f237]) ).

fof(f16207,plain,
    ( spl1_559
    | ~ spl1_198
    | ~ spl1_536 ),
    inference(avatar_split_clause,[],[f15001,f13098,f3802,f16204]) ).

fof(f16204,plain,
    ( spl1_559
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xn))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_559])]) ).

fof(f3802,plain,
    ( spl1_198
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_198])]) ).

fof(f15001,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xn)))
    | ~ spl1_198
    | ~ spl1_536 ),
    inference(resolution,[],[f13099,f3803]) ).

fof(f3803,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
    | ~ spl1_198 ),
    inference(avatar_component_clause,[],[f3802]) ).

fof(f16202,plain,
    ( spl1_558
    | ~ spl1_16
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1143,f1089,f232,f16200]) ).

fof(f16200,plain,
    ( spl1_558
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_558])]) ).

fof(f1143,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f233]) ).

fof(f16198,plain,
    ( spl1_557
    | ~ spl1_17
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1136,f1085,f236,f16196]) ).

fof(f16196,plain,
    ( spl1_557
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_557])]) ).

fof(f1136,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f237]) ).

fof(f16194,plain,
    ( spl1_556
    | ~ spl1_16
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1135,f1085,f232,f16192]) ).

fof(f16192,plain,
    ( spl1_556
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_556])]) ).

fof(f1135,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f233]) ).

fof(f16190,plain,
    ( spl1_555
    | ~ spl1_17
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f965,f905,f236,f16188]) ).

fof(f16188,plain,
    ( spl1_555
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_555])]) ).

fof(f965,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f237]) ).

fof(f16186,plain,
    ( spl1_554
    | ~ spl1_16
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f964,f905,f232,f16184]) ).

fof(f16184,plain,
    ( spl1_554
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_554])]) ).

fof(f964,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f233]) ).

fof(f16182,plain,
    ( spl1_553
    | ~ spl1_17
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f957,f901,f236,f16180]) ).

fof(f16180,plain,
    ( spl1_553
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_553])]) ).

fof(f957,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f237]) ).

fof(f16178,plain,
    ( spl1_552
    | ~ spl1_16
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f956,f901,f232,f16176]) ).

fof(f16176,plain,
    ( spl1_552
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_552])]) ).

fof(f956,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f233]) ).

fof(f13864,plain,
    ( ~ spl1_4
    | ~ spl1_17
    | spl1_536 ),
    inference(avatar_split_clause,[],[f13147,f13098,f236,f155]) ).

fof(f13147,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl1_17
    | spl1_536 ),
    inference(duplicate_literal_removal,[],[f13146]) ).

fof(f13146,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_17
    | spl1_536 ),
    inference(resolution,[],[f13100,f237]) ).

fof(f13100,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | spl1_536 ),
    inference(avatar_component_clause,[],[f13098]) ).

fof(f13354,plain,
    ( spl1_551
    | ~ spl1_29
    | ~ spl1_108 ),
    inference(avatar_split_clause,[],[f1445,f1406,f330,f13352]) ).

fof(f13352,plain,
    ( spl1_551
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_551])]) ).

fof(f1445,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_29
    | ~ spl1_108 ),
    inference(duplicate_literal_removal,[],[f1435]) ).

fof(f1435,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_108 ),
    inference(resolution,[],[f1407,f331]) ).

fof(f13159,plain,
    ( ~ spl1_6
    | spl1_550
    | ~ spl1_20
    | ~ spl1_108 ),
    inference(avatar_split_clause,[],[f1444,f1406,f265,f13157,f165]) ).

fof(f13157,plain,
    ( spl1_550
  <=> ! [X0,X1] :
        ( sdtlseqdt0(sz10,X0)
        | sz00 = X1
        | sz10 = X1
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_550])]) ).

fof(f1444,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | sdtlseqdt0(X0,X1)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl1_20
    | ~ spl1_108 ),
    inference(duplicate_literal_removal,[],[f1439]) ).

fof(f1439,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | sdtlseqdt0(X0,X1)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_20
    | ~ spl1_108 ),
    inference(resolution,[],[f1407,f266]) ).

fof(f13155,plain,
    ( spl1_549
    | ~ spl1_32
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1335,f1223,f354,f13153]) ).

fof(f13153,plain,
    ( spl1_549
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_549])]) ).

fof(f354,plain,
    ( spl1_32
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).

fof(f1335,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_32
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1319]) ).

fof(f1319,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_32
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f355]) ).

fof(f355,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_32 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f13151,plain,
    ( spl1_548
    | ~ spl1_95
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1333,f1223,f1198,f13149]) ).

fof(f13149,plain,
    ( spl1_548
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_548])]) ).

fof(f1333,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_95
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1321]) ).

fof(f1321,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_95
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f1199]) ).

fof(f13145,plain,
    ( spl1_547
    | ~ spl1_96
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1332,f1223,f1202,f13143]) ).

fof(f13143,plain,
    ( spl1_547
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_547])]) ).

fof(f1332,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_96
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1322]) ).

fof(f1322,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_96
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f1203]) ).

fof(f13141,plain,
    ( spl1_546
    | ~ spl1_98
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1331,f1223,f1211,f13139]) ).

fof(f13139,plain,
    ( spl1_546
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_546])]) ).

fof(f1331,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_98
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1323]) ).

fof(f1323,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_98
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f1212]) ).

fof(f13137,plain,
    ( spl1_545
    | ~ spl1_99
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1330,f1223,f1215,f13135]) ).

fof(f13135,plain,
    ( spl1_545
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_545])]) ).

fof(f1330,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_99
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1324]) ).

fof(f1324,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sdtmndt0(X0,X1)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_99
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f1216]) ).

fof(f13133,plain,
    ( spl1_544
    | ~ spl1_31
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1314,f1219,f350,f13131]) ).

fof(f13131,plain,
    ( spl1_544
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_544])]) ).

fof(f350,plain,
    ( spl1_31
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).

fof(f1314,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sK0(X0,X1)) = X1 )
    | ~ spl1_31
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1296]) ).

fof(f1296,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_31
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f351]) ).

fof(f351,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_31 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f13129,plain,
    ( spl1_543
    | ~ spl1_32
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1313,f1219,f354,f13127]) ).

fof(f13127,plain,
    ( spl1_543
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_543])]) ).

fof(f1313,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
    | ~ spl1_32
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1297]) ).

fof(f1297,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_32
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f355]) ).

fof(f13125,plain,
    ( spl1_542
    | ~ spl1_95
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1311,f1219,f1198,f13123]) ).

fof(f13123,plain,
    ( spl1_542
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_542])]) ).

fof(f1311,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_95
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1299]) ).

fof(f1299,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_95
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f1199]) ).

fof(f13121,plain,
    ( spl1_541
    | ~ spl1_96
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1310,f1219,f1202,f13119]) ).

fof(f13119,plain,
    ( spl1_541
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_541])]) ).

fof(f1310,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_96
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1300]) ).

fof(f1300,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_96
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f1203]) ).

fof(f13117,plain,
    ( spl1_540
    | ~ spl1_98
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1309,f1219,f1211,f13115]) ).

fof(f13115,plain,
    ( spl1_540
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_540])]) ).

fof(f1309,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_98
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1301]) ).

fof(f1301,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_98
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f1212]) ).

fof(f13113,plain,
    ( spl1_539
    | ~ spl1_99
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1308,f1219,f1215,f13111]) ).

fof(f13111,plain,
    ( spl1_539
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_539])]) ).

fof(f1308,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_99
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1302]) ).

fof(f1302,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sK0(X1,X0)) = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_99
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f1216]) ).

fof(f13109,plain,
    ( spl1_538
    | ~ spl1_23
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1067,f1033,f277,f13107]) ).

fof(f13107,plain,
    ( spl1_538
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_538])]) ).

fof(f1033,plain,
    ( spl1_83
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_83])]) ).

fof(f1067,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f278]) ).

fof(f1034,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl1_83 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f13105,plain,
    ( ~ spl1_3
    | ~ spl1_536
    | spl1_537
    | ~ spl1_17
    | ~ spl1_448 ),
    inference(avatar_split_clause,[],[f11324,f9156,f236,f13102,f13098,f150]) ).

fof(f13102,plain,
    ( spl1_537
  <=> aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_537])]) ).

fof(f9156,plain,
    ( spl1_448
  <=> sdtasdt0(xn,sdtasdt0(xn,xm)) = sdtasdt0(xm,sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_448])]) ).

fof(f11324,plain,
    ( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xm)))
    | ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(xm)
    | ~ spl1_17
    | ~ spl1_448 ),
    inference(superposition,[],[f237,f9158]) ).

fof(f9158,plain,
    ( sdtasdt0(xn,sdtasdt0(xn,xm)) = sdtasdt0(xm,sdtasdt0(xn,xn))
    | ~ spl1_448 ),
    inference(avatar_component_clause,[],[f9156]) ).

fof(f13096,plain,
    ( spl1_535
    | ~ spl1_24
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1064,f1033,f281,f13094]) ).

fof(f13094,plain,
    ( spl1_535
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_535])]) ).

fof(f1064,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f282]) ).

fof(f13092,plain,
    ( spl1_534
    | ~ spl1_23
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1059,f1029,f277,f13090]) ).

fof(f13090,plain,
    ( spl1_534
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_534])]) ).

fof(f1029,plain,
    ( spl1_82
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).

fof(f1059,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f278]) ).

fof(f1030,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl1_82 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f13088,plain,
    ( spl1_533
    | ~ spl1_24
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1056,f1029,f281,f13086]) ).

fof(f13086,plain,
    ( spl1_533
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_533])]) ).

fof(f1056,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f282]) ).

fof(f13084,plain,
    ( spl1_532
    | ~ spl1_23
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1051,f1025,f277,f13082]) ).

fof(f13082,plain,
    ( spl1_532
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_532])]) ).

fof(f1025,plain,
    ( spl1_81
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_81])]) ).

fof(f1051,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f278]) ).

fof(f1026,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl1_81 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f13080,plain,
    ( spl1_531
    | ~ spl1_24
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1048,f1025,f281,f13078]) ).

fof(f13078,plain,
    ( spl1_531
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_531])]) ).

fof(f1048,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f282]) ).

fof(f13076,plain,
    ( spl1_530
    | ~ spl1_23
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1043,f1021,f277,f13074]) ).

fof(f13074,plain,
    ( spl1_530
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_530])]) ).

fof(f1021,plain,
    ( spl1_80
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_80])]) ).

fof(f1043,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK0(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f278]) ).

fof(f1022,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl1_80 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f13072,plain,
    ( spl1_529
    | ~ spl1_24
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1040,f1021,f281,f13070]) ).

fof(f13070,plain,
    ( spl1_529
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_529])]) ).

fof(f1040,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_24
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f282]) ).

fof(f13068,plain,
    ( spl1_528
    | ~ spl1_23
    | ~ spl1_72 ),
    inference(avatar_split_clause,[],[f950,f897,f277,f13066]) ).

fof(f13066,plain,
    ( spl1_528
  <=> ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),sz10) = sdtasdt0(sz10,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_528])]) ).

fof(f897,plain,
    ( spl1_72
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).

fof(f950,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),sz10) = sdtasdt0(sz10,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_72 ),
    inference(resolution,[],[f898,f278]) ).

fof(f898,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
    | ~ spl1_72 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f13064,plain,
    ( spl1_527
    | ~ spl1_24
    | ~ spl1_72 ),
    inference(avatar_split_clause,[],[f947,f897,f281,f13062]) ).

fof(f13062,plain,
    ( spl1_527
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz10) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_527])]) ).

fof(f947,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz10) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_72 ),
    inference(resolution,[],[f898,f282]) ).

fof(f13060,plain,
    ( spl1_526
    | ~ spl1_23
    | ~ spl1_71 ),
    inference(avatar_split_clause,[],[f935,f893,f277,f13058]) ).

fof(f13058,plain,
    ( spl1_526
  <=> ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_526])]) ).

fof(f893,plain,
    ( spl1_71
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).

fof(f935,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_71 ),
    inference(resolution,[],[f894,f278]) ).

fof(f894,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
    | ~ spl1_71 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f13037,plain,
    ( spl1_525
    | ~ spl1_24
    | ~ spl1_71 ),
    inference(avatar_split_clause,[],[f932,f893,f281,f13035]) ).

fof(f13035,plain,
    ( spl1_525
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz00) = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_525])]) ).

fof(f932,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz00) = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_71 ),
    inference(resolution,[],[f894,f282]) ).

fof(f13033,plain,
    ( spl1_524
    | ~ spl1_23
    | ~ spl1_70 ),
    inference(avatar_split_clause,[],[f926,f889,f277,f13031]) ).

fof(f13031,plain,
    ( spl1_524
  <=> ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_524])]) ).

fof(f889,plain,
    ( spl1_70
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).

fof(f926,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_70 ),
    inference(resolution,[],[f890,f278]) ).

fof(f890,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
    | ~ spl1_70 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f13029,plain,
    ( spl1_523
    | ~ spl1_24
    | ~ spl1_70 ),
    inference(avatar_split_clause,[],[f923,f889,f281,f13027]) ).

fof(f13027,plain,
    ( spl1_523
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz10) = sdtpldt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_523])]) ).

fof(f923,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz10) = sdtpldt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_70 ),
    inference(resolution,[],[f890,f282]) ).

fof(f13025,plain,
    ( spl1_522
    | ~ spl1_23
    | ~ spl1_69 ),
    inference(avatar_split_clause,[],[f915,f885,f277,f13023]) ).

fof(f13023,plain,
    ( spl1_522
  <=> ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_522])]) ).

fof(f885,plain,
    ( spl1_69
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).

fof(f915,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_69 ),
    inference(resolution,[],[f886,f278]) ).

fof(f886,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
    | ~ spl1_69 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f13021,plain,
    ( spl1_521
    | ~ spl1_24
    | ~ spl1_69 ),
    inference(avatar_split_clause,[],[f912,f885,f281,f13019]) ).

fof(f13019,plain,
    ( spl1_521
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz00) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_521])]) ).

fof(f912,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz00) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_69 ),
    inference(resolution,[],[f886,f282]) ).

fof(f12969,plain,
    ( ~ spl1_6
    | spl1_7
    | spl1_520
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f818,f722,f514,f12967,f170,f165]) ).

fof(f12967,plain,
    ( spl1_520
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_520])]) ).

fof(f722,plain,
    ( spl1_63
  <=> sz10 = sdtasdt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).

fof(f818,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f811]) ).

fof(f811,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(superposition,[],[f515,f724]) ).

fof(f724,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl1_63 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f12918,plain,
    ( ~ spl1_6
    | spl1_7
    | spl1_519
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f817,f722,f514,f12916,f170,f165]) ).

fof(f12916,plain,
    ( spl1_519
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_519])]) ).

fof(f817,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f812]) ).

fof(f812,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_49
    | ~ spl1_63 ),
    inference(superposition,[],[f515,f724]) ).

fof(f12847,plain,
    ( ~ spl1_6
    | spl1_7
    | spl1_518
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f816,f722,f518,f12845,f170,f165]) ).

fof(f12845,plain,
    ( spl1_518
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_518])]) ).

fof(f816,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f813]) ).

fof(f813,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(superposition,[],[f519,f724]) ).

fof(f12796,plain,
    ( ~ spl1_6
    | spl1_7
    | spl1_517
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f815,f722,f518,f12794,f170,f165]) ).

fof(f12794,plain,
    ( spl1_517
  <=> ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_517])]) ).

fof(f815,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f814,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_50
    | ~ spl1_63 ),
    inference(superposition,[],[f519,f724]) ).

fof(f12142,plain,
    ( spl1_516
    | ~ spl1_103
    | ~ spl1_357 ),
    inference(avatar_split_clause,[],[f9714,f6997,f1343,f12139]) ).

fof(f12139,plain,
    ( spl1_516
  <=> sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_516])]) ).

fof(f6997,plain,
    ( spl1_357
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_357])]) ).

fof(f9714,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_357 ),
    inference(resolution,[],[f6998,f1344]) ).

fof(f6998,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) )
    | ~ spl1_357 ),
    inference(avatar_component_clause,[],[f6997]) ).

fof(f12042,plain,
    ( ~ spl1_6
    | ~ spl1_514
    | spl1_515
    | ~ spl1_35
    | ~ spl1_78 ),
    inference(avatar_split_clause,[],[f1007,f999,f399,f12040,f12036,f165]) ).

fof(f12036,plain,
    ( spl1_514
  <=> aNaturalNumber0(sdtmndt0(xm,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_514])]) ).

fof(f12040,plain,
    ( spl1_515
  <=> ! [X0] :
        ( xm != sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(xm,sz10) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_515])]) ).

fof(f399,plain,
    ( spl1_35
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).

fof(f999,plain,
    ( spl1_78
  <=> xm = sdtpldt0(sz10,sdtmndt0(xm,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(sz10,X0)
        | sdtmndt0(xm,sz10) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtmndt0(xm,sz10))
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_35
    | ~ spl1_78 ),
    inference(superposition,[],[f400,f1001]) ).

fof(f1001,plain,
    ( xm = sdtpldt0(sz10,sdtmndt0(xm,sz10))
    | ~ spl1_78 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f400,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_35 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f12034,plain,
    ( spl1_513
    | ~ spl1_23
    | ~ spl1_67 ),
    inference(avatar_split_clause,[],[f881,f838,f277,f12032]) ).

fof(f12032,plain,
    ( spl1_513
  <=> ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_513])]) ).

fof(f838,plain,
    ( spl1_67
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).

fof(f881,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_67 ),
    inference(resolution,[],[f839,f278]) ).

fof(f839,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
    | ~ spl1_67 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f12030,plain,
    ( spl1_512
    | ~ spl1_24
    | ~ spl1_67 ),
    inference(avatar_split_clause,[],[f878,f838,f281,f12028]) ).

fof(f12028,plain,
    ( spl1_512
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xn) = sdtasdt0(xn,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_512])]) ).

fof(f878,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xn) = sdtasdt0(xn,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_67 ),
    inference(resolution,[],[f839,f282]) ).

fof(f12026,plain,
    ( spl1_511
    | ~ spl1_23
    | ~ spl1_66 ),
    inference(avatar_split_clause,[],[f866,f834,f277,f12024]) ).

fof(f12024,plain,
    ( spl1_511
  <=> ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_511])]) ).

fof(f834,plain,
    ( spl1_66
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).

fof(f866,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_66 ),
    inference(resolution,[],[f835,f278]) ).

fof(f835,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
    | ~ spl1_66 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f12022,plain,
    ( spl1_510
    | ~ spl1_24
    | ~ spl1_66 ),
    inference(avatar_split_clause,[],[f863,f834,f281,f12020]) ).

fof(f12020,plain,
    ( spl1_510
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xm) = sdtasdt0(xm,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_510])]) ).

fof(f863,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xm) = sdtasdt0(xm,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_66 ),
    inference(resolution,[],[f835,f282]) ).

fof(f12018,plain,
    ( spl1_509
    | ~ spl1_23
    | ~ spl1_65 ),
    inference(avatar_split_clause,[],[f857,f830,f277,f12016]) ).

fof(f12016,plain,
    ( spl1_509
  <=> ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),xn) = sdtpldt0(xn,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_509])]) ).

fof(f830,plain,
    ( spl1_65
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).

fof(f857,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),xn) = sdtpldt0(xn,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_65 ),
    inference(resolution,[],[f831,f278]) ).

fof(f831,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
    | ~ spl1_65 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f12014,plain,
    ( spl1_508
    | ~ spl1_24
    | ~ spl1_65 ),
    inference(avatar_split_clause,[],[f854,f830,f281,f12012]) ).

fof(f12012,plain,
    ( spl1_508
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),xn) = sdtpldt0(xn,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_508])]) ).

fof(f854,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),xn) = sdtpldt0(xn,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_65 ),
    inference(resolution,[],[f831,f282]) ).

fof(f12010,plain,
    ( spl1_507
    | ~ spl1_23
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f848,f826,f277,f12008]) ).

fof(f12008,plain,
    ( spl1_507
  <=> ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_507])]) ).

fof(f826,plain,
    ( spl1_64
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).

fof(f848,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_23
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f278]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
    | ~ spl1_64 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f12006,plain,
    ( spl1_506
    | ~ spl1_103
    | ~ spl1_354 ),
    inference(avatar_split_clause,[],[f9246,f6856,f1343,f12003]) ).

fof(f12003,plain,
    ( spl1_506
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_506])]) ).

fof(f6856,plain,
    ( spl1_354
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_354])]) ).

fof(f9246,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_354 ),
    inference(resolution,[],[f6857,f1344]) ).

fof(f6857,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) )
    | ~ spl1_354 ),
    inference(avatar_component_clause,[],[f6856]) ).

fof(f12001,plain,
    ( spl1_505
    | ~ spl1_24
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f845,f826,f281,f11999]) ).

fof(f11999,plain,
    ( spl1_505
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),xm) = sdtpldt0(xm,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_505])]) ).

fof(f845,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),xm) = sdtpldt0(xm,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_24
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f282]) ).

fof(f11753,plain,
    ( spl1_504
    | ~ spl1_29
    | ~ spl1_99 ),
    inference(avatar_split_clause,[],[f1290,f1215,f330,f11751]) ).

fof(f11751,plain,
    ( spl1_504
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_504])]) ).

fof(f1290,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_99 ),
    inference(duplicate_literal_removal,[],[f1280]) ).

fof(f1280,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_99 ),
    inference(resolution,[],[f1216,f331]) ).

fof(f11740,plain,
    ( ~ spl1_6
    | spl1_503
    | ~ spl1_20
    | ~ spl1_99 ),
    inference(avatar_split_clause,[],[f1289,f1215,f265,f11738,f165]) ).

fof(f11738,plain,
    ( spl1_503
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_503])]) ).

fof(f1289,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_99 ),
    inference(duplicate_literal_removal,[],[f1284]) ).

fof(f1284,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,sz10))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_99 ),
    inference(resolution,[],[f1216,f266]) ).

fof(f11736,plain,
    ( spl1_502
    | ~ spl1_29
    | ~ spl1_98 ),
    inference(avatar_split_clause,[],[f1273,f1211,f330,f11734]) ).

fof(f11734,plain,
    ( spl1_502
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_502])]) ).

fof(f1273,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_98 ),
    inference(duplicate_literal_removal,[],[f1263]) ).

fof(f1263,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_98 ),
    inference(resolution,[],[f1212,f331]) ).

fof(f11692,plain,
    ( ~ spl1_6
    | spl1_501
    | ~ spl1_20
    | ~ spl1_98 ),
    inference(avatar_split_clause,[],[f1272,f1211,f265,f11690,f165]) ).

fof(f11690,plain,
    ( spl1_501
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_501])]) ).

fof(f1272,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_98 ),
    inference(duplicate_literal_removal,[],[f1267]) ).

fof(f1267,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sdtmndt0(X0,sz10),sz00)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_98 ),
    inference(resolution,[],[f1212,f266]) ).

fof(f11688,plain,
    ( spl1_500
    | ~ spl1_29
    | ~ spl1_96 ),
    inference(avatar_split_clause,[],[f1256,f1202,f330,f11686]) ).

fof(f11686,plain,
    ( spl1_500
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_500])]) ).

fof(f1256,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_96 ),
    inference(duplicate_literal_removal,[],[f1246]) ).

fof(f1246,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_96 ),
    inference(resolution,[],[f1203,f331]) ).

fof(f11675,plain,
    ( ~ spl1_6
    | spl1_499
    | ~ spl1_20
    | ~ spl1_96 ),
    inference(avatar_split_clause,[],[f1255,f1202,f265,f11673,f165]) ).

fof(f11673,plain,
    ( spl1_499
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sz00,sK0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_499])]) ).

fof(f1255,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sz00,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_96 ),
    inference(duplicate_literal_removal,[],[f1250]) ).

fof(f1250,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sz00,sK0(sz10,X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_96 ),
    inference(resolution,[],[f1203,f266]) ).

fof(f11671,plain,
    ( spl1_498
    | ~ spl1_29
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f1239,f1198,f330,f11669]) ).

fof(f11669,plain,
    ( spl1_498
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_498])]) ).

fof(f1239,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_95 ),
    inference(duplicate_literal_removal,[],[f1229]) ).

fof(f1229,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_95 ),
    inference(resolution,[],[f1199,f331]) ).

fof(f11658,plain,
    ( ~ spl1_6
    | spl1_497
    | ~ spl1_20
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f1238,f1198,f265,f11656,f165]) ).

fof(f11656,plain,
    ( spl1_497
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sz00 = sdtasdt0(sK0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_497])]) ).

fof(f1238,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sK0(sz10,X0),sz00)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_95 ),
    inference(duplicate_literal_removal,[],[f1233]) ).

fof(f1233,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sdtasdt0(sK0(sz10,X0),sz00)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_95 ),
    inference(resolution,[],[f1199,f266]) ).

fof(f11619,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_496
    | ~ spl1_43
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f803,f717,f452,f11617,f165,f160]) ).

fof(f11617,plain,
    ( spl1_496
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_496])]) ).

fof(f452,plain,
    ( spl1_43
  <=> ! [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,[spl1_43])]) ).

fof(f803,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
        | ~ aNaturalNumber0(sz10)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_43
    | ~ spl1_62 ),
    inference(superposition,[],[f453,f719]) ).

fof(f453,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f11579,plain,
    ( ~ spl1_5
    | ~ spl1_103
    | spl1_495
    | ~ spl1_29
    | ~ spl1_152 ),
    inference(avatar_split_clause,[],[f2905,f2317,f330,f11576,f1343,f160]) ).

fof(f2317,plain,
    ( spl1_152
  <=> sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_152])]) ).

fof(f2905,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_152 ),
    inference(duplicate_literal_removal,[],[f2880]) ).

fof(f2880,plain,
    ( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_152 ),
    inference(superposition,[],[f331,f2319]) ).

fof(f2319,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_152 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f11574,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_494
    | ~ spl1_43
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f802,f717,f452,f11572,f165,f160]) ).

fof(f11572,plain,
    ( spl1_494
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_494])]) ).

fof(f802,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_62 ),
    inference(superposition,[],[f453,f719]) ).

fof(f11528,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_493
    | ~ spl1_42
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f801,f717,f448,f11526,f160,f165]) ).

fof(f11526,plain,
    ( spl1_493
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_493])]) ).

fof(f448,plain,
    ( spl1_42
  <=> ! [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,[spl1_42])]) ).

fof(f801,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_62 ),
    inference(superposition,[],[f449,f719]) ).

fof(f449,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f11475,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_492
    | ~ spl1_42
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f800,f717,f448,f11473,f160,f165]) ).

fof(f11473,plain,
    ( spl1_492
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_492])]) ).

fof(f800,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_42
    | ~ spl1_62 ),
    inference(superposition,[],[f449,f719]) ).

fof(f11431,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_491
    | ~ spl1_43
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f790,f712,f452,f11429,f160,f165]) ).

fof(f11429,plain,
    ( spl1_491
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(sz10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_491])]) ).

fof(f712,plain,
    ( spl1_61
  <=> sz10 = sdtpldt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).

fof(f790,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_43
    | ~ spl1_61 ),
    inference(superposition,[],[f453,f714]) ).

fof(f714,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl1_61 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f11386,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_490
    | ~ spl1_43
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f789,f712,f452,f11384,f160,f165]) ).

fof(f11384,plain,
    ( spl1_490
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_490])]) ).

fof(f789,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_61 ),
    inference(superposition,[],[f453,f714]) ).

fof(f11313,plain,
    ( spl1_489
    | ~ spl1_333
    | ~ spl1_488 ),
    inference(avatar_split_clause,[],[f11309,f11305,f5984,f11311]) ).

fof(f11311,plain,
    ( spl1_489
  <=> ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_489])]) ).

fof(f11305,plain,
    ( spl1_488
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_488])]) ).

fof(f11309,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_333
    | ~ spl1_488 ),
    inference(forward_demodulation,[],[f11308,f5986]) ).

fof(f11308,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sz00) )
    | ~ spl1_333
    | ~ spl1_488 ),
    inference(forward_demodulation,[],[f11306,f5986]) ).

fof(f11306,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) )
    | ~ spl1_488 ),
    inference(avatar_component_clause,[],[f11305]) ).

fof(f11307,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_488
    | ~ spl1_42
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f788,f712,f448,f11305,f165,f160]) ).

fof(f788,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_61 ),
    inference(superposition,[],[f449,f714]) ).

fof(f11103,plain,
    ( ~ spl1_4
    | spl1_333
    | ~ spl1_6
    | spl1_487
    | ~ spl1_41
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f685,f555,f444,f11101,f165,f5984,f155]) ).

fof(f444,plain,
    ( spl1_41
  <=> ! [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,[spl1_41])]) ).

fof(f685,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(X0,xn)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = xn
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_41
    | ~ spl1_56 ),
    inference(superposition,[],[f445,f557]) ).

fof(f445,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_41 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f11036,plain,
    ( spl1_486
    | ~ spl1_333
    | ~ spl1_485 ),
    inference(avatar_split_clause,[],[f11032,f11028,f5984,f11034]) ).

fof(f11034,plain,
    ( spl1_486
  <=> ! [X0] :
        ( ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_486])]) ).

fof(f11028,plain,
    ( spl1_485
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_485])]) ).

fof(f11032,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_333
    | ~ spl1_485 ),
    inference(forward_demodulation,[],[f11031,f5986]) ).

fof(f11031,plain,
    ( ! [X0] :
        ( xn = X0
        | sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(sz00,X0) )
    | ~ spl1_333
    | ~ spl1_485 ),
    inference(forward_demodulation,[],[f11029,f5986]) ).

fof(f11029,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) )
    | ~ spl1_485 ),
    inference(avatar_component_clause,[],[f11028]) ).

fof(f11030,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_485
    | ~ spl1_42
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f787,f712,f448,f11028,f165,f160]) ).

fof(f787,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
        | ~ aNaturalNumber0(sz10)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_42
    | ~ spl1_61 ),
    inference(superposition,[],[f449,f714]) ).

fof(f11012,plain,
    ( spl1_484
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_146 ),
    inference(avatar_split_clause,[],[f2250,f2164,f179,f150,f165,f11010]) ).

fof(f11010,plain,
    ( spl1_484
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtmndt0(xm,sz10)) = sdtasdt0(sdtmndt0(xm,sz10),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_484])]) ).

fof(f2250,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10)
        | sdtasdt0(X0,sdtmndt0(xm,sz10)) = sdtasdt0(sdtmndt0(xm,sz10),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_9
    | ~ spl1_146 ),
    inference(resolution,[],[f2165,f181]) ).

fof(f10994,plain,
    ( spl1_483
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_145 ),
    inference(avatar_split_clause,[],[f2227,f2160,f179,f150,f165,f10992]) ).

fof(f10992,plain,
    ( spl1_483
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(xm,sz10)) = sdtpldt0(sdtmndt0(xm,sz10),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_483])]) ).

fof(f2227,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(X0,sdtmndt0(xm,sz10)) = sdtpldt0(sdtmndt0(xm,sz10),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_9
    | ~ spl1_145 ),
    inference(resolution,[],[f2161,f181]) ).

fof(f10976,plain,
    ( spl1_482
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_144 ),
    inference(avatar_split_clause,[],[f2199,f2156,f179,f150,f165,f10974]) ).

fof(f10974,plain,
    ( spl1_482
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0(sz10,xm)) = sdtasdt0(sK0(sz10,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_482])]) ).

fof(f2199,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10)
        | sdtasdt0(X0,sK0(sz10,xm)) = sdtasdt0(sK0(sz10,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_9
    | ~ spl1_144 ),
    inference(resolution,[],[f2157,f181]) ).

fof(f10958,plain,
    ( spl1_481
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_143 ),
    inference(avatar_split_clause,[],[f2176,f2152,f179,f150,f165,f10956]) ).

fof(f10956,plain,
    ( spl1_481
  <=> ! [X0] :
        ( sdtpldt0(X0,sK0(sz10,xm)) = sdtpldt0(sK0(sz10,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_481])]) ).

fof(f2176,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(X0,sK0(sz10,xm)) = sdtpldt0(sK0(sz10,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_9
    | ~ spl1_143 ),
    inference(resolution,[],[f2153,f181]) ).

fof(f10947,plain,
    ( ~ spl1_6
    | spl1_7
    | ~ spl1_4
    | spl1_480
    | ~ spl1_40
    | ~ spl1_56 ),
    inference(avatar_split_clause,[],[f683,f555,f440,f10945,f155,f170,f165]) ).

fof(f10945,plain,
    ( spl1_480
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_480])]) ).

fof(f440,plain,
    ( spl1_40
  <=> ! [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,[spl1_40])]) ).

fof(f683,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_40
    | ~ spl1_56 ),
    inference(superposition,[],[f441,f557]) ).

fof(f441,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_40 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f10940,plain,
    ( ~ spl1_3
    | spl1_1
    | ~ spl1_6
    | spl1_479
    | ~ spl1_41
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f675,f550,f444,f10938,f165,f140,f150]) ).

fof(f10938,plain,
    ( spl1_479
  <=> ! [X0] :
        ( xm != sdtasdt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_479])]) ).

fof(f675,plain,
    ( ! [X0] :
        ( xm != sdtasdt0(X0,xm)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_41
    | ~ spl1_55 ),
    inference(superposition,[],[f445,f552]) ).

fof(f10929,plain,
    ( ~ spl1_6
    | spl1_7
    | ~ spl1_3
    | spl1_478
    | ~ spl1_40
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f673,f550,f440,f10927,f150,f170,f165]) ).

fof(f10927,plain,
    ( spl1_478
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_478])]) ).

fof(f673,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_40
    | ~ spl1_55 ),
    inference(superposition,[],[f441,f552]) ).

fof(f10918,plain,
    ( ~ spl1_6
    | spl1_7
    | ~ spl1_4
    | spl1_477
    | ~ spl1_41
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f665,f545,f444,f10916,f155,f170,f165]) ).

fof(f10916,plain,
    ( spl1_477
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_477])]) ).

fof(f665,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_41
    | ~ spl1_54 ),
    inference(superposition,[],[f445,f547]) ).

fof(f10804,plain,
    ( ~ spl1_476
    | spl1_1
    | ~ spl1_333 ),
    inference(avatar_split_clause,[],[f6546,f5984,f140,f10801]) ).

fof(f6546,plain,
    ( xm != xn
    | spl1_1
    | ~ spl1_333 ),
    inference(superposition,[],[f142,f5986]) ).

fof(f142,plain,
    ( sz00 != xm
    | spl1_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f10742,plain,
    ( ~ spl1_4
    | spl1_333
    | ~ spl1_6
    | spl1_475
    | ~ spl1_40
    | ~ spl1_54 ),
    inference(avatar_split_clause,[],[f663,f545,f440,f10740,f165,f5984,f155]) ).

fof(f663,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(xn,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = xn
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_40
    | ~ spl1_54 ),
    inference(superposition,[],[f441,f547]) ).

fof(f10731,plain,
    ( ~ spl1_6
    | spl1_7
    | ~ spl1_3
    | spl1_474
    | ~ spl1_41
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f655,f540,f444,f10729,f150,f170,f165]) ).

fof(f10729,plain,
    ( spl1_474
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_474])]) ).

fof(f655,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_41
    | ~ spl1_53 ),
    inference(superposition,[],[f445,f542]) ).

fof(f10724,plain,
    ( ~ spl1_3
    | spl1_1
    | ~ spl1_6
    | spl1_473
    | ~ spl1_40
    | ~ spl1_53 ),
    inference(avatar_split_clause,[],[f653,f540,f440,f10722,f165,f140,f150]) ).

fof(f10722,plain,
    ( spl1_473
  <=> ! [X0] :
        ( xm != sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_473])]) ).

fof(f653,plain,
    ( ! [X0] :
        ( xm != sdtasdt0(xm,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_40
    | ~ spl1_53 ),
    inference(superposition,[],[f441,f542]) ).

fof(f10683,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_472
    | ~ spl1_43
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f649,f535,f452,f10681,f155,f160]) ).

fof(f10681,plain,
    ( spl1_472
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_472])]) ).

fof(f649,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(X0,xn))
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_43
    | ~ spl1_52 ),
    inference(superposition,[],[f453,f537]) ).

fof(f10644,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_471
    | ~ spl1_43
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f648,f535,f452,f10642,f155,f160]) ).

fof(f10642,plain,
    ( spl1_471
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_471])]) ).

fof(f648,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xn),xn)
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_52 ),
    inference(superposition,[],[f453,f537]) ).

fof(f10582,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_470
    | ~ spl1_42
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f647,f535,f448,f10580,f160,f155]) ).

fof(f647,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_52 ),
    inference(superposition,[],[f449,f537]) ).

fof(f10529,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_469
    | ~ spl1_42
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f646,f535,f448,f10527,f160,f155]) ).

fof(f10527,plain,
    ( spl1_469
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_469])]) ).

fof(f646,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_42
    | ~ spl1_52 ),
    inference(superposition,[],[f449,f537]) ).

fof(f10489,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_468
    | ~ spl1_43
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f636,f530,f452,f10487,f150,f160]) ).

fof(f10487,plain,
    ( spl1_468
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_468])]) ).

fof(f636,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(X0,xm))
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_43
    | ~ spl1_51 ),
    inference(superposition,[],[f453,f532]) ).

fof(f10451,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_467
    | ~ spl1_43
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f635,f530,f452,f10449,f150,f160]) ).

fof(f10449,plain,
    ( spl1_467
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_467])]) ).

fof(f635,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,xm),xm)
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_51 ),
    inference(superposition,[],[f453,f532]) ).

fof(f10408,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_466
    | ~ spl1_42
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f634,f530,f448,f10406,f160,f150]) ).

fof(f10406,plain,
    ( spl1_466
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_466])]) ).

fof(f634,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_51 ),
    inference(superposition,[],[f449,f532]) ).

fof(f10336,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_465
    | ~ spl1_42
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f633,f530,f448,f10334,f160,f150]) ).

fof(f10334,plain,
    ( spl1_465
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_465])]) ).

fof(f633,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_42
    | ~ spl1_51 ),
    inference(superposition,[],[f449,f532]) ).

fof(f10292,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_464
    | ~ spl1_43
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f623,f509,f452,f10290,f160,f155]) ).

fof(f10290,plain,
    ( spl1_464
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | xn = X0
        | ~ sdtlseqdt0(xn,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_464])]) ).

fof(f509,plain,
    ( spl1_48
  <=> xn = sdtpldt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).

fof(f623,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(xn,X0)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_43
    | ~ spl1_48 ),
    inference(superposition,[],[f453,f511]) ).

fof(f511,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl1_48 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f10250,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_463
    | ~ spl1_43
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f622,f509,f452,f10248,f160,f155]) ).

fof(f622,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,xn)
        | xn = X0
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_48 ),
    inference(superposition,[],[f453,f511]) ).

fof(f10212,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_462
    | ~ spl1_42
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f621,f509,f448,f10210,f155,f160]) ).

fof(f10210,plain,
    ( spl1_462
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_462])]) ).

fof(f621,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xn,X0),xn)
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_48 ),
    inference(superposition,[],[f449,f511]) ).

fof(f10172,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_461
    | ~ spl1_42
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f620,f509,f448,f10170,f155,f160]) ).

fof(f10170,plain,
    ( spl1_461
  <=> ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(xn,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_461])]) ).

fof(f620,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xn,sdtpldt0(xn,X0))
        | ~ aNaturalNumber0(xn)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_42
    | ~ spl1_48 ),
    inference(superposition,[],[f449,f511]) ).

fof(f10109,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_460
    | ~ spl1_43
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f610,f456,f452,f10107,f160,f150]) ).

fof(f10107,plain,
    ( spl1_460
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(xm,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_460])]) ).

fof(f456,plain,
    ( spl1_44
  <=> xm = sdtpldt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).

fof(f610,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(xm,X0)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_43
    | ~ spl1_44 ),
    inference(superposition,[],[f453,f458]) ).

fof(f458,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl1_44 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f10067,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_459
    | ~ spl1_43
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f609,f456,f452,f10065,f160,f150]) ).

fof(f10065,plain,
    ( spl1_459
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0)
        | xm = X0
        | ~ sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_459])]) ).

fof(f609,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,xm)
        | xm = X0
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_44 ),
    inference(superposition,[],[f453,f458]) ).

fof(f10028,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_458
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f608,f456,f448,f10026,f150,f160]) ).

fof(f10026,plain,
    ( spl1_458
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xm,X0),xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_458])]) ).

fof(f608,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(xm,X0),xm)
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(superposition,[],[f449,f458]) ).

fof(f9987,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_457
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f607,f456,f448,f9985,f150,f160]) ).

fof(f9985,plain,
    ( spl1_457
  <=> ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_457])]) ).

fof(f607,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xm,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(xm)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(superposition,[],[f449,f458]) ).

fof(f9274,plain,
    ( spl1_456
    | ~ spl1_19
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1764,f1544,f257,f9272]) ).

fof(f9272,plain,
    ( spl1_456
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_456])]) ).

fof(f1764,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1750]) ).

fof(f1750,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f258]) ).

fof(f9270,plain,
    ( spl1_455
    | ~ spl1_19
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1743,f1540,f257,f9268]) ).

fof(f9268,plain,
    ( spl1_455
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_455])]) ).

fof(f1743,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1729]) ).

fof(f1729,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtasdt0(sdtmndt0(X0,X1),sz10)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f258]) ).

fof(f9266,plain,
    ( spl1_454
    | ~ spl1_19
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1722,f1536,f257,f9264]) ).

fof(f9264,plain,
    ( spl1_454
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_454])]) ).

fof(f1722,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1708]) ).

fof(f1708,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f258]) ).

fof(f9262,plain,
    ( spl1_453
    | ~ spl1_19
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1701,f1532,f257,f9260]) ).

fof(f9260,plain,
    ( spl1_453
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_453])]) ).

fof(f1701,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1687]) ).

fof(f1687,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f258]) ).

fof(f9258,plain,
    ( spl1_452
    | ~ spl1_19
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1680,f1528,f257,f9256]) ).

fof(f9256,plain,
    ( spl1_452
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_452])]) ).

fof(f1680,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1666]) ).

fof(f1666,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sz10,sK0(X1,X0))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f258]) ).

fof(f9241,plain,
    ( spl1_451
    | ~ spl1_19
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1659,f1524,f257,f9239]) ).

fof(f9239,plain,
    ( spl1_451
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_451])]) ).

fof(f1659,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1645]) ).

fof(f1645,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtasdt0(sK0(X1,X0),sz10)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f258]) ).

fof(f9237,plain,
    ( spl1_450
    | ~ spl1_19
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1585,f1520,f257,f9235]) ).

fof(f9235,plain,
    ( spl1_450
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_450])]) ).

fof(f1585,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1571]) ).

fof(f1571,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f258]) ).

fof(f9233,plain,
    ( spl1_449
    | ~ spl1_19
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1564,f1516,f257,f9231]) ).

fof(f9231,plain,
    ( spl1_449
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_449])]) ).

fof(f1564,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1550]) ).

fof(f1550,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sK0(X1,X0) = sdtpldt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f258]) ).

fof(f9159,plain,
    ( spl1_448
    | ~ spl1_3
    | ~ spl1_185
    | ~ spl1_211
    | ~ spl1_313 ),
    inference(avatar_split_clause,[],[f6526,f5656,f3864,f3383,f150,f9156]) ).

fof(f5656,plain,
    ( spl1_313
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_313])]) ).

fof(f6526,plain,
    ( sdtasdt0(xn,sdtasdt0(xn,xm)) = sdtasdt0(xm,sdtasdt0(xn,xn))
    | ~ spl1_3
    | ~ spl1_185
    | ~ spl1_211
    | ~ spl1_313 ),
    inference(forward_demodulation,[],[f6525,f3866]) ).

fof(f6525,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xm,sdtasdt0(xn,xn))
    | ~ spl1_3
    | ~ spl1_185
    | ~ spl1_313 ),
    inference(forward_demodulation,[],[f6252,f3385]) ).

fof(f6252,plain,
    ( sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xm,sdtasdt0(xn,xn))
    | ~ spl1_3
    | ~ spl1_313 ),
    inference(resolution,[],[f5657,f152]) ).

fof(f5657,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn)) )
    | ~ spl1_313 ),
    inference(avatar_component_clause,[],[f5656]) ).

fof(f8663,plain,
    ( spl1_447
    | ~ spl1_4
    | ~ spl1_103
    | ~ spl1_343
    | ~ spl1_384 ),
    inference(avatar_split_clause,[],[f8591,f7716,f6270,f1343,f155,f8660]) ).

fof(f8660,plain,
    ( spl1_447
  <=> sz00 = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_447])]) ).

fof(f6270,plain,
    ( spl1_343
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_343])]) ).

fof(f7716,plain,
    ( spl1_384
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_384])]) ).

fof(f8591,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00)
    | ~ spl1_4
    | ~ spl1_103
    | ~ spl1_343
    | ~ spl1_384 ),
    inference(forward_demodulation,[],[f8584,f7889]) ).

fof(f7889,plain,
    ( sdtasdt0(xn,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
    | ~ spl1_4
    | ~ spl1_384 ),
    inference(resolution,[],[f7717,f157]) ).

fof(f7717,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm)) )
    | ~ spl1_384 ),
    inference(avatar_component_clause,[],[f7716]) ).

fof(f8584,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_343 ),
    inference(resolution,[],[f6271,f1344]) ).

fof(f6271,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) )
    | ~ spl1_343 ),
    inference(avatar_component_clause,[],[f6270]) ).

fof(f8613,plain,
    ( spl1_446
    | ~ spl1_8
    | ~ spl1_146 ),
    inference(avatar_split_clause,[],[f2263,f2164,f175,f8611]) ).

fof(f8611,plain,
    ( spl1_446
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_446])]) ).

fof(f2263,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_8
    | ~ spl1_146 ),
    inference(duplicate_literal_removal,[],[f2241]) ).

fof(f2241,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_146 ),
    inference(resolution,[],[f2165,f176]) ).

fof(f8609,plain,
    ( spl1_445
    | ~ spl1_8
    | ~ spl1_145 ),
    inference(avatar_split_clause,[],[f2240,f2160,f175,f8607]) ).

fof(f8607,plain,
    ( spl1_445
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_445])]) ).

fof(f2240,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_8
    | ~ spl1_145 ),
    inference(duplicate_literal_removal,[],[f2218]) ).

fof(f2218,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_145 ),
    inference(resolution,[],[f2161,f176]) ).

fof(f8605,plain,
    ( spl1_444
    | ~ spl1_8
    | ~ spl1_144 ),
    inference(avatar_split_clause,[],[f2212,f2156,f175,f8603]) ).

fof(f8603,plain,
    ( spl1_444
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_444])]) ).

fof(f2212,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_8
    | ~ spl1_144 ),
    inference(duplicate_literal_removal,[],[f2190]) ).

fof(f2190,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK0(X0,X0)) = sdtasdt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_144 ),
    inference(resolution,[],[f2157,f176]) ).

fof(f8601,plain,
    ( spl1_443
    | ~ spl1_8
    | ~ spl1_143 ),
    inference(avatar_split_clause,[],[f2189,f2152,f175,f8599]) ).

fof(f8599,plain,
    ( spl1_443
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_443])]) ).

fof(f2189,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_8
    | ~ spl1_143 ),
    inference(duplicate_literal_removal,[],[f2167]) ).

fof(f2167,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK0(X0,X0)) = sdtpldt0(sK0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_143 ),
    inference(resolution,[],[f2153,f176]) ).

fof(f8597,plain,
    ( spl1_442
    | ~ spl1_16
    | ~ spl1_142 ),
    inference(avatar_split_clause,[],[f2150,f2112,f232,f8595]) ).

fof(f8595,plain,
    ( spl1_442
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_442])]) ).

fof(f2112,plain,
    ( spl1_142
  <=> ! [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,[spl1_142])]) ).

fof(f2150,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_142 ),
    inference(duplicate_literal_removal,[],[f2133]) ).

fof(f2133,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_142 ),
    inference(resolution,[],[f2113,f233]) ).

fof(f2113,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_142 ),
    inference(avatar_component_clause,[],[f2112]) ).

fof(f8579,plain,
    ( spl1_441
    | ~ spl1_16
    | ~ spl1_141 ),
    inference(avatar_split_clause,[],[f2132,f2108,f232,f8577]) ).

fof(f8577,plain,
    ( spl1_441
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_441])]) ).

fof(f2108,plain,
    ( spl1_141
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_141])]) ).

fof(f2132,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_141 ),
    inference(duplicate_literal_removal,[],[f2115]) ).

fof(f2115,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_141 ),
    inference(resolution,[],[f2109,f233]) ).

fof(f2109,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_141 ),
    inference(avatar_component_clause,[],[f2108]) ).

fof(f8575,plain,
    ( spl1_440
    | ~ spl1_6
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1961,f1889,f165,f8573]) ).

fof(f8573,plain,
    ( spl1_440
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_440])]) ).

fof(f1961,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f167]) ).

fof(f8571,plain,
    ( spl1_439
    | ~ spl1_6
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1928,f1850,f165,f8569]) ).

fof(f8569,plain,
    ( spl1_439
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_439])]) ).

fof(f1928,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_6
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f167]) ).

fof(f8567,plain,
    ( spl1_438
    | ~ spl1_5
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1927,f1850,f160,f8565]) ).

fof(f8565,plain,
    ( spl1_438
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_438])]) ).

fof(f1927,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_5
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f162]) ).

fof(f8563,plain,
    ( spl1_437
    | ~ spl1_6
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1919,f1846,f165,f8561]) ).

fof(f8561,plain,
    ( spl1_437
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_437])]) ).

fof(f1919,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_6
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f167]) ).

fof(f8559,plain,
    ( spl1_436
    | ~ spl1_5
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1918,f1846,f160,f8557]) ).

fof(f8557,plain,
    ( spl1_436
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_436])]) ).

fof(f1918,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_5
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f162]) ).

fof(f8555,plain,
    ( spl1_435
    | ~ spl1_6
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1910,f1842,f165,f8553]) ).

fof(f8553,plain,
    ( spl1_435
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_435])]) ).

fof(f1910,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_6
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f167]) ).

fof(f8551,plain,
    ( spl1_434
    | ~ spl1_5
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1909,f1842,f160,f8549]) ).

fof(f8549,plain,
    ( spl1_434
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_434])]) ).

fof(f1909,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_5
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f162]) ).

fof(f8547,plain,
    ( spl1_433
    | ~ spl1_6
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1901,f1838,f165,f8545]) ).

fof(f8545,plain,
    ( spl1_433
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_433])]) ).

fof(f1901,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_6
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f167]) ).

fof(f8543,plain,
    ( spl1_432
    | ~ spl1_5
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1900,f1838,f160,f8541]) ).

fof(f8541,plain,
    ( spl1_432
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_432])]) ).

fof(f1900,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_5
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f162]) ).

fof(f8520,plain,
    ( spl1_431
    | ~ spl1_19
    | ~ spl1_108 ),
    inference(avatar_split_clause,[],[f1447,f1406,f257,f8518]) ).

fof(f8518,plain,
    ( spl1_431
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_431])]) ).

fof(f1447,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X0) )
    | ~ spl1_19
    | ~ spl1_108 ),
    inference(duplicate_literal_removal,[],[f1433]) ).

fof(f1433,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_19
    | ~ spl1_108 ),
    inference(resolution,[],[f1407,f258]) ).

fof(f8516,plain,
    ( spl1_430
    | ~ spl1_17
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1063,f1033,f236,f8514]) ).

fof(f8514,plain,
    ( spl1_430
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_430])]) ).

fof(f1063,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f237]) ).

fof(f8512,plain,
    ( spl1_429
    | ~ spl1_16
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1062,f1033,f232,f8510]) ).

fof(f8510,plain,
    ( spl1_429
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_429])]) ).

fof(f1062,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f233]) ).

fof(f8508,plain,
    ( spl1_428
    | ~ spl1_17
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1055,f1029,f236,f8506]) ).

fof(f8506,plain,
    ( spl1_428
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_428])]) ).

fof(f1055,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f237]) ).

fof(f8504,plain,
    ( spl1_427
    | ~ spl1_16
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1054,f1029,f232,f8502]) ).

fof(f8502,plain,
    ( spl1_427
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_427])]) ).

fof(f1054,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f233]) ).

fof(f8500,plain,
    ( spl1_426
    | ~ spl1_17
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1047,f1025,f236,f8498]) ).

fof(f8498,plain,
    ( spl1_426
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_426])]) ).

fof(f1047,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f237]) ).

fof(f8496,plain,
    ( spl1_425
    | ~ spl1_16
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1046,f1025,f232,f8494]) ).

fof(f8494,plain,
    ( spl1_425
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_425])]) ).

fof(f1046,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f233]) ).

fof(f8492,plain,
    ( spl1_424
    | ~ spl1_17
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1039,f1021,f236,f8490]) ).

fof(f8490,plain,
    ( spl1_424
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_424])]) ).

fof(f1039,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f237]) ).

fof(f8488,plain,
    ( spl1_423
    | ~ spl1_16
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1038,f1021,f232,f8486]) ).

fof(f8486,plain,
    ( spl1_423
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_423])]) ).

fof(f1038,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f233]) ).

fof(f8484,plain,
    ( spl1_422
    | ~ spl1_17
    | ~ spl1_72 ),
    inference(avatar_split_clause,[],[f946,f897,f236,f8482]) ).

fof(f8482,plain,
    ( spl1_422
  <=> ! [X0,X1] :
        ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_422])]) ).

fof(f946,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_72 ),
    inference(resolution,[],[f898,f237]) ).

fof(f8480,plain,
    ( spl1_421
    | ~ spl1_4
    | ~ spl1_103
    | ~ spl1_341
    | ~ spl1_384 ),
    inference(avatar_split_clause,[],[f8427,f7716,f6089,f1343,f155,f8477]) ).

fof(f8477,plain,
    ( spl1_421
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_421])]) ).

fof(f6089,plain,
    ( spl1_341
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_341])]) ).

fof(f8427,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm)))
    | ~ spl1_4
    | ~ spl1_103
    | ~ spl1_341
    | ~ spl1_384 ),
    inference(forward_demodulation,[],[f8420,f7889]) ).

fof(f8420,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_341 ),
    inference(resolution,[],[f6090,f1344]) ).

fof(f6090,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) )
    | ~ spl1_341 ),
    inference(avatar_component_clause,[],[f6089]) ).

fof(f8475,plain,
    ( spl1_420
    | ~ spl1_16
    | ~ spl1_72 ),
    inference(avatar_split_clause,[],[f945,f897,f232,f8473]) ).

fof(f8473,plain,
    ( spl1_420
  <=> ! [X0,X1] :
        ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_420])]) ).

fof(f945,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_72 ),
    inference(resolution,[],[f898,f233]) ).

fof(f8471,plain,
    ( spl1_419
    | ~ spl1_17
    | ~ spl1_71 ),
    inference(avatar_split_clause,[],[f931,f893,f236,f8469]) ).

fof(f8469,plain,
    ( spl1_419
  <=> ! [X0,X1] :
        ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_419])]) ).

fof(f931,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_71 ),
    inference(resolution,[],[f894,f237]) ).

fof(f8467,plain,
    ( spl1_418
    | ~ spl1_16
    | ~ spl1_71 ),
    inference(avatar_split_clause,[],[f930,f893,f232,f8465]) ).

fof(f8465,plain,
    ( spl1_418
  <=> ! [X0,X1] :
        ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_418])]) ).

fof(f930,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_71 ),
    inference(resolution,[],[f894,f233]) ).

fof(f8463,plain,
    ( spl1_417
    | ~ spl1_17
    | ~ spl1_70 ),
    inference(avatar_split_clause,[],[f922,f889,f236,f8461]) ).

fof(f8461,plain,
    ( spl1_417
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_417])]) ).

fof(f922,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_70 ),
    inference(resolution,[],[f890,f237]) ).

fof(f8459,plain,
    ( spl1_416
    | ~ spl1_16
    | ~ spl1_70 ),
    inference(avatar_split_clause,[],[f921,f889,f232,f8457]) ).

fof(f8457,plain,
    ( spl1_416
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_416])]) ).

fof(f921,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_70 ),
    inference(resolution,[],[f890,f233]) ).

fof(f8455,plain,
    ( spl1_415
    | ~ spl1_17
    | ~ spl1_69 ),
    inference(avatar_split_clause,[],[f911,f885,f236,f8453]) ).

fof(f8453,plain,
    ( spl1_415
  <=> ! [X0,X1] :
        ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_415])]) ).

fof(f911,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_69 ),
    inference(resolution,[],[f886,f237]) ).

fof(f8451,plain,
    ( spl1_414
    | ~ spl1_16
    | ~ spl1_69 ),
    inference(avatar_split_clause,[],[f910,f885,f232,f8449]) ).

fof(f8449,plain,
    ( spl1_414
  <=> ! [X0,X1] :
        ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_414])]) ).

fof(f910,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_69 ),
    inference(resolution,[],[f886,f233]) ).

fof(f8440,plain,
    ( spl1_7
    | ~ spl1_6
    | spl1_413
    | ~ spl1_40
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f822,f722,f440,f8438,f165,f170]) ).

fof(f8438,plain,
    ( spl1_413
  <=> ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_413])]) ).

fof(f822,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sz10 )
    | ~ spl1_40
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f807]) ).

fof(f807,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_40
    | ~ spl1_63 ),
    inference(superposition,[],[f441,f724]) ).

fof(f8415,plain,
    ( spl1_7
    | ~ spl1_6
    | spl1_412
    | ~ spl1_41
    | ~ spl1_63 ),
    inference(avatar_split_clause,[],[f820,f722,f444,f8413,f165,f170]) ).

fof(f8413,plain,
    ( spl1_412
  <=> ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_412])]) ).

fof(f820,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sz10 )
    | ~ spl1_41
    | ~ spl1_63 ),
    inference(duplicate_literal_removal,[],[f809]) ).

fof(f809,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_41
    | ~ spl1_63 ),
    inference(superposition,[],[f445,f724]) ).

fof(f8368,plain,
    ( ~ spl1_5
    | spl1_411
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(avatar_split_clause,[],[f772,f707,f448,f8366,f160]) ).

fof(f8366,plain,
    ( spl1_411
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_411])]) ).

fof(f707,plain,
    ( spl1_60
  <=> sz00 = sdtpldt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).

fof(f772,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(duplicate_literal_removal,[],[f765]) ).

fof(f765,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(superposition,[],[f449,f709]) ).

fof(f709,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl1_60 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f8322,plain,
    ( ~ spl1_5
    | spl1_410
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(avatar_split_clause,[],[f771,f707,f448,f8320,f160]) ).

fof(f8320,plain,
    ( spl1_410
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_410])]) ).

fof(f771,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(duplicate_literal_removal,[],[f766]) ).

fof(f766,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_42
    | ~ spl1_60 ),
    inference(superposition,[],[f449,f709]) ).

fof(f8279,plain,
    ( ~ spl1_5
    | spl1_409
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(avatar_split_clause,[],[f770,f707,f452,f8277,f160]) ).

fof(f8277,plain,
    ( spl1_409
  <=> ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_409])]) ).

fof(f770,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(duplicate_literal_removal,[],[f767]) ).

fof(f767,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(X0,sz00)
        | sz00 = X0
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(superposition,[],[f453,f709]) ).

fof(f8235,plain,
    ( ~ spl1_5
    | spl1_408
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(avatar_split_clause,[],[f769,f707,f452,f8233,f160]) ).

fof(f8233,plain,
    ( spl1_408
  <=> ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0
        | ~ sdtlseqdt0(sz00,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_408])]) ).

fof(f769,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(duplicate_literal_removal,[],[f768]) ).

fof(f768,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
        | ~ aNaturalNumber0(sz00)
        | ~ sdtlseqdt0(sz00,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_43
    | ~ spl1_60 ),
    inference(superposition,[],[f453,f709]) ).

fof(f8048,plain,
    ( spl1_407
    | ~ spl1_103
    | ~ spl1_225 ),
    inference(avatar_split_clause,[],[f4179,f4014,f1343,f8045]) ).

fof(f4014,plain,
    ( spl1_225
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_225])]) ).

fof(f4179,plain,
    ( sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_225 ),
    inference(resolution,[],[f4015,f1344]) ).

fof(f4015,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
    | ~ spl1_225 ),
    inference(avatar_component_clause,[],[f4014]) ).

fof(f7872,plain,
    ( spl1_406
    | ~ spl1_103
    | ~ spl1_223 ),
    inference(avatar_split_clause,[],[f4166,f4005,f1343,f7869]) ).

fof(f4005,plain,
    ( spl1_223
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_223])]) ).

fof(f4166,plain,
    ( sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_223 ),
    inference(resolution,[],[f4006,f1344]) ).

fof(f4006,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
    | ~ spl1_223 ),
    inference(avatar_component_clause,[],[f4005]) ).

fof(f7804,plain,
    ( spl1_405
    | ~ spl1_4
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1967,f1889,f155,f7802]) ).

fof(f7802,plain,
    ( spl1_405
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_405])]) ).

fof(f1967,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f157]) ).

fof(f7800,plain,
    ( spl1_404
    | ~ spl1_3
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1966,f1889,f150,f7798]) ).

fof(f7798,plain,
    ( spl1_404
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_404])]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f152]) ).

fof(f7796,plain,
    ( spl1_403
    | ~ spl1_4
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1934,f1850,f155,f7794]) ).

fof(f7794,plain,
    ( spl1_403
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_403])]) ).

fof(f1934,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f157]) ).

fof(f7792,plain,
    ( spl1_402
    | ~ spl1_103
    | ~ spl1_222 ),
    inference(avatar_split_clause,[],[f4157,f4001,f1343,f7789]) ).

fof(f4001,plain,
    ( spl1_222
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_222])]) ).

fof(f4157,plain,
    ( sz00 = sdtasdt0(sz00,sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_222 ),
    inference(resolution,[],[f4002,f1344]) ).

fof(f4002,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X0)) )
    | ~ spl1_222 ),
    inference(avatar_component_clause,[],[f4001]) ).

fof(f7787,plain,
    ( spl1_401
    | ~ spl1_3
    | ~ spl1_130 ),
    inference(avatar_split_clause,[],[f1933,f1850,f150,f7785]) ).

fof(f7785,plain,
    ( spl1_401
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_401])]) ).

fof(f1933,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_130 ),
    inference(resolution,[],[f1851,f152]) ).

fof(f7783,plain,
    ( spl1_400
    | ~ spl1_4
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1925,f1846,f155,f7781]) ).

fof(f7781,plain,
    ( spl1_400
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_400])]) ).

fof(f1925,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f157]) ).

fof(f7779,plain,
    ( spl1_399
    | ~ spl1_3
    | ~ spl1_129 ),
    inference(avatar_split_clause,[],[f1924,f1846,f150,f7777]) ).

fof(f7777,plain,
    ( spl1_399
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_399])]) ).

fof(f1924,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_129 ),
    inference(resolution,[],[f1847,f152]) ).

fof(f7775,plain,
    ( spl1_398
    | ~ spl1_4
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1916,f1842,f155,f7773]) ).

fof(f7773,plain,
    ( spl1_398
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_398])]) ).

fof(f1916,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f157]) ).

fof(f7771,plain,
    ( spl1_397
    | ~ spl1_3
    | ~ spl1_128 ),
    inference(avatar_split_clause,[],[f1915,f1842,f150,f7769]) ).

fof(f7769,plain,
    ( spl1_397
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_397])]) ).

fof(f1915,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_128 ),
    inference(resolution,[],[f1843,f152]) ).

fof(f7767,plain,
    ( spl1_396
    | ~ spl1_4
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1907,f1838,f155,f7765]) ).

fof(f7765,plain,
    ( spl1_396
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_396])]) ).

fof(f1907,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f157]) ).

fof(f7763,plain,
    ( spl1_395
    | ~ spl1_3
    | ~ spl1_127 ),
    inference(avatar_split_clause,[],[f1906,f1838,f150,f7761]) ).

fof(f7761,plain,
    ( spl1_395
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_395])]) ).

fof(f1906,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_127 ),
    inference(resolution,[],[f1839,f152]) ).

fof(f7759,plain,
    ( spl1_394
    | ~ spl1_4
    | ~ spl1_125 ),
    inference(avatar_split_clause,[],[f1833,f1781,f155,f7757]) ).

fof(f7757,plain,
    ( spl1_394
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_394])]) ).

fof(f1781,plain,
    ( spl1_125
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_125])]) ).

fof(f1833,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) )
    | ~ spl1_4
    | ~ spl1_125 ),
    inference(resolution,[],[f1782,f157]) ).

fof(f1782,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1)) )
    | ~ spl1_125 ),
    inference(avatar_component_clause,[],[f1781]) ).

fof(f7755,plain,
    ( spl1_393
    | ~ spl1_3
    | ~ spl1_125 ),
    inference(avatar_split_clause,[],[f1832,f1781,f150,f7753]) ).

fof(f7753,plain,
    ( spl1_393
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_393])]) ).

fof(f1832,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm)) )
    | ~ spl1_3
    | ~ spl1_125 ),
    inference(resolution,[],[f1782,f152]) ).

fof(f7751,plain,
    ( spl1_392
    | ~ spl1_4
    | ~ spl1_66
    | ~ spl1_124 ),
    inference(avatar_split_clause,[],[f1825,f1777,f834,f155,f7749]) ).

fof(f7749,plain,
    ( spl1_392
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_392])]) ).

fof(f1777,plain,
    ( spl1_124
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_124])]) ).

fof(f1825,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_66
    | ~ spl1_124 ),
    inference(forward_demodulation,[],[f1821,f865]) ).

fof(f865,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
    | ~ spl1_4
    | ~ spl1_66 ),
    inference(resolution,[],[f835,f157]) ).

fof(f1821,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) )
    | ~ spl1_4
    | ~ spl1_124 ),
    inference(resolution,[],[f1778,f157]) ).

fof(f1778,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1)) )
    | ~ spl1_124 ),
    inference(avatar_component_clause,[],[f1777]) ).

fof(f7747,plain,
    ( spl1_391
    | ~ spl1_103
    | ~ spl1_221 ),
    inference(avatar_split_clause,[],[f4148,f3997,f1343,f7744]) ).

fof(f7744,plain,
    ( spl1_391
  <=> sz00 = sdtasdt0(sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_391])]) ).

fof(f3997,plain,
    ( spl1_221
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_221])]) ).

fof(f4148,plain,
    ( sz00 = sdtasdt0(sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_221 ),
    inference(resolution,[],[f3998,f1344]) ).

fof(f3998,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X0),sz00) )
    | ~ spl1_221 ),
    inference(avatar_component_clause,[],[f3997]) ).

fof(f7742,plain,
    ( spl1_390
    | ~ spl1_3
    | ~ spl1_124 ),
    inference(avatar_split_clause,[],[f1820,f1777,f150,f7740]) ).

fof(f7740,plain,
    ( spl1_390
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_390])]) ).

fof(f1820,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) )
    | ~ spl1_3
    | ~ spl1_124 ),
    inference(resolution,[],[f1778,f152]) ).

fof(f7738,plain,
    ( spl1_389
    | ~ spl1_3
    | ~ spl1_97
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1813,f1773,f1206,f150,f7736]) ).

fof(f7736,plain,
    ( spl1_389
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_389])]) ).

fof(f1813,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_97
    | ~ spl1_123 ),
    inference(forward_demodulation,[],[f1807,f1208]) ).

fof(f1807,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f152]) ).

fof(f7734,plain,
    ( spl1_388
    | ~ spl1_6
    | ~ spl1_65
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1811,f1773,f830,f165,f7732]) ).

fof(f1811,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(xn,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_65
    | ~ spl1_123 ),
    inference(forward_demodulation,[],[f1802,f851]) ).

fof(f851,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
    | ~ spl1_6
    | ~ spl1_65 ),
    inference(resolution,[],[f831,f167]) ).

fof(f1802,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f167]) ).

fof(f7730,plain,
    ( spl1_387
    | ~ spl1_4
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1808,f1773,f155,f7728]) ).

fof(f7728,plain,
    ( spl1_387
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_387])]) ).

fof(f1808,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f157]) ).

fof(f7726,plain,
    ( spl1_386
    | ~ spl1_6
    | ~ spl1_94
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1799,f1769,f1129,f165,f7724]) ).

fof(f7724,plain,
    ( spl1_386
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_386])]) ).

fof(f1129,plain,
    ( spl1_94
  <=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_94])]) ).

fof(f1799,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_94
    | ~ spl1_122 ),
    inference(forward_demodulation,[],[f1790,f1131]) ).

fof(f1131,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
    | ~ spl1_94 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f167]) ).

fof(f7722,plain,
    ( spl1_385
    | ~ spl1_4
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1796,f1769,f155,f7720]) ).

fof(f7720,plain,
    ( spl1_385
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_385])]) ).

fof(f1796,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f157]) ).

fof(f7718,plain,
    ( spl1_384
    | ~ spl1_3
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1795,f1769,f150,f7716]) ).

fof(f1795,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f152]) ).

fof(f7713,plain,
    ( ~ spl1_6
    | ~ spl1_382
    | spl1_383
    | ~ spl1_3
    | ~ spl1_77
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1505,f1427,f982,f150,f7710,f7706,f165]) ).

fof(f7706,plain,
    ( spl1_382
  <=> aNaturalNumber0(sK0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_382])]) ).

fof(f982,plain,
    ( spl1_77
  <=> xm = sdtpldt0(sz10,sK0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).

fof(f1427,plain,
    ( spl1_113
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_113])]) ).

fof(f1505,plain,
    ( ~ aNaturalNumber0(xm)
    | sK0(sz10,xm) = sdtmndt0(xm,sz10)
    | ~ aNaturalNumber0(sK0(sz10,xm))
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_77
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f984]) ).

fof(f984,plain,
    ( xm = sdtpldt0(sz10,sK0(sz10,xm))
    | ~ spl1_77 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1428,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_113 ),
    inference(avatar_component_clause,[],[f1427]) ).

fof(f7688,plain,
    ( spl1_381
    | ~ spl1_17
    | ~ spl1_67 ),
    inference(avatar_split_clause,[],[f877,f838,f236,f7686]) ).

fof(f7686,plain,
    ( spl1_381
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_381])]) ).

fof(f877,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_67 ),
    inference(resolution,[],[f839,f237]) ).

fof(f7684,plain,
    ( spl1_380
    | ~ spl1_16
    | ~ spl1_67 ),
    inference(avatar_split_clause,[],[f876,f838,f232,f7682]) ).

fof(f7682,plain,
    ( spl1_380
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_380])]) ).

fof(f876,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_67 ),
    inference(resolution,[],[f839,f233]) ).

fof(f7680,plain,
    ( spl1_379
    | ~ spl1_17
    | ~ spl1_66 ),
    inference(avatar_split_clause,[],[f862,f834,f236,f7678]) ).

fof(f7678,plain,
    ( spl1_379
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_379])]) ).

fof(f862,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_66 ),
    inference(resolution,[],[f835,f237]) ).

fof(f7676,plain,
    ( spl1_378
    | ~ spl1_16
    | ~ spl1_66 ),
    inference(avatar_split_clause,[],[f861,f834,f232,f7674]) ).

fof(f7674,plain,
    ( spl1_378
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_378])]) ).

fof(f861,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_66 ),
    inference(resolution,[],[f835,f233]) ).

fof(f7672,plain,
    ( spl1_377
    | ~ spl1_17
    | ~ spl1_65 ),
    inference(avatar_split_clause,[],[f853,f830,f236,f7670]) ).

fof(f7670,plain,
    ( spl1_377
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_377])]) ).

fof(f853,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_65 ),
    inference(resolution,[],[f831,f237]) ).

fof(f7668,plain,
    ( spl1_376
    | ~ spl1_16
    | ~ spl1_65 ),
    inference(avatar_split_clause,[],[f852,f830,f232,f7666]) ).

fof(f7666,plain,
    ( spl1_376
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_376])]) ).

fof(f852,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_65 ),
    inference(resolution,[],[f831,f233]) ).

fof(f7664,plain,
    ( spl1_375
    | ~ spl1_17
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f844,f826,f236,f7662]) ).

fof(f7662,plain,
    ( spl1_375
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_375])]) ).

fof(f844,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_17
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f237]) ).

fof(f7660,plain,
    ( spl1_374
    | ~ spl1_16
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f843,f826,f232,f7658]) ).

fof(f7658,plain,
    ( spl1_374
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_374])]) ).

fof(f843,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f233]) ).

fof(f7292,plain,
    ( spl1_373
    | ~ spl1_19
    | ~ spl1_99 ),
    inference(avatar_split_clause,[],[f1292,f1215,f257,f7290]) ).

fof(f7290,plain,
    ( spl1_373
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_373])]) ).

fof(f1292,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_99 ),
    inference(duplicate_literal_removal,[],[f1278]) ).

fof(f1278,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_99 ),
    inference(resolution,[],[f1216,f258]) ).

fof(f7288,plain,
    ( spl1_372
    | ~ spl1_19
    | ~ spl1_98 ),
    inference(avatar_split_clause,[],[f1275,f1211,f257,f7286]) ).

fof(f7286,plain,
    ( spl1_372
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_372])]) ).

fof(f1275,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_98 ),
    inference(duplicate_literal_removal,[],[f1261]) ).

fof(f1261,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtmndt0(X0,X1),sz00)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_98 ),
    inference(resolution,[],[f1212,f258]) ).

fof(f7284,plain,
    ( spl1_371
    | ~ spl1_19
    | ~ spl1_96 ),
    inference(avatar_split_clause,[],[f1258,f1202,f257,f7282]) ).

fof(f7282,plain,
    ( spl1_371
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_371])]) ).

fof(f1258,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_96 ),
    inference(duplicate_literal_removal,[],[f1244]) ).

fof(f1244,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sK0(X1,X0))
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_96 ),
    inference(resolution,[],[f1203,f258]) ).

fof(f7280,plain,
    ( spl1_370
    | ~ spl1_19
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f1241,f1198,f257,f7278]) ).

fof(f7278,plain,
    ( spl1_370
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_370])]) ).

fof(f1241,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1) )
    | ~ spl1_19
    | ~ spl1_95 ),
    inference(duplicate_literal_removal,[],[f1227]) ).

fof(f1227,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sK0(X1,X0),sz00)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_19
    | ~ spl1_95 ),
    inference(resolution,[],[f1199,f258]) ).

fof(f7275,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_369
    | ~ spl1_36
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f798,f717,f403,f7273,f160,f165]) ).

fof(f7273,plain,
    ( spl1_369
  <=> ! [X0] :
        ( sz10 != sdtpldt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_369])]) ).

fof(f403,plain,
    ( spl1_36
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).

fof(f798,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(X0,sz10)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_36
    | ~ spl1_62 ),
    inference(superposition,[],[f404,f719]) ).

fof(f404,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_36 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f7260,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_368
    | ~ spl1_35
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f796,f717,f399,f7258,f165,f160]) ).

fof(f7258,plain,
    ( spl1_368
  <=> ! [X0] :
        ( sz10 != sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_368])]) ).

fof(f796,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(sz00,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_35
    | ~ spl1_62 ),
    inference(superposition,[],[f400,f719]) ).

fof(f7228,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_367
    | ~ spl1_36
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f785,f712,f403,f7226,f165,f160]) ).

fof(f7226,plain,
    ( spl1_367
  <=> ! [X0] :
        ( sz10 != sdtpldt0(X0,sz00)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_367])]) ).

fof(f785,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(X0,sz00)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_36
    | ~ spl1_61 ),
    inference(superposition,[],[f404,f714]) ).

fof(f7213,plain,
    ( ~ spl1_6
    | ~ spl1_5
    | spl1_366
    | ~ spl1_35
    | ~ spl1_61 ),
    inference(avatar_split_clause,[],[f783,f712,f399,f7211,f160,f165]) ).

fof(f7211,plain,
    ( spl1_366
  <=> ! [X0] :
        ( sz10 != sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_366])]) ).

fof(f783,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(sz10,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_35
    | ~ spl1_61 ),
    inference(superposition,[],[f400,f714]) ).

fof(f7149,plain,
    ( ~ spl1_6
    | spl1_365
    | ~ spl1_84
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1328,f1223,f1069,f7147,f165]) ).

fof(f7147,plain,
    ( spl1_365
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm)
        | sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_365])]) ).

fof(f1069,plain,
    ( spl1_84
  <=> ! [X0] :
        ( sdtlseqdt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).

fof(f1328,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | sdtlseqdt0(X0,xm) )
    | ~ spl1_84
    | ~ spl1_101 ),
    inference(duplicate_literal_removal,[],[f1326]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm) )
    | ~ spl1_84
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f1070]) ).

fof(f1070,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm) )
    | ~ spl1_84 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f7085,plain,
    ( ~ spl1_6
    | spl1_364
    | ~ spl1_84
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1306,f1219,f1069,f7083,f165]) ).

fof(f7083,plain,
    ( spl1_364
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm)
        | sdtpldt0(sz10,sK0(sz10,X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_364])]) ).

fof(f1306,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sK0(sz10,X0)) = X0
        | sdtlseqdt0(X0,xm) )
    | ~ spl1_84
    | ~ spl1_100 ),
    inference(duplicate_literal_removal,[],[f1304]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sdtpldt0(sz10,sK0(sz10,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm) )
    | ~ spl1_84
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f1070]) ).

fof(f7078,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_363
    | ~ spl1_36
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f644,f535,f403,f7076,f160,f155]) ).

fof(f7076,plain,
    ( spl1_363
  <=> ! [X0] :
        ( xn != sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_363])]) ).

fof(f644,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,xn)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_36
    | ~ spl1_52 ),
    inference(superposition,[],[f404,f537]) ).

fof(f7043,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_362
    | ~ spl1_35
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f642,f535,f399,f7041,f155,f160]) ).

fof(f7041,plain,
    ( spl1_362
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_362])]) ).

fof(f642,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_35
    | ~ spl1_52 ),
    inference(superposition,[],[f400,f537]) ).

fof(f7037,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_361
    | ~ spl1_36
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f631,f530,f403,f7035,f160,f150]) ).

fof(f7035,plain,
    ( spl1_361
  <=> ! [X0] :
        ( xm != sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_361])]) ).

fof(f631,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,xm)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_36
    | ~ spl1_51 ),
    inference(superposition,[],[f404,f532]) ).

fof(f7023,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_360
    | ~ spl1_35
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f629,f530,f399,f7021,f150,f160]) ).

fof(f7021,plain,
    ( spl1_360
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_360])]) ).

fof(f629,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_35
    | ~ spl1_51 ),
    inference(superposition,[],[f400,f532]) ).

fof(f7012,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_359
    | ~ spl1_36
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f618,f509,f403,f7010,f155,f160]) ).

fof(f7010,plain,
    ( spl1_359
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_359])]) ).

fof(f618,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_36
    | ~ spl1_48 ),
    inference(superposition,[],[f404,f511]) ).

fof(f7003,plain,
    ( ~ spl1_4
    | ~ spl1_5
    | spl1_358
    | ~ spl1_35
    | ~ spl1_48 ),
    inference(avatar_split_clause,[],[f616,f509,f399,f7001,f160,f155]) ).

fof(f7001,plain,
    ( spl1_358
  <=> ! [X0] :
        ( xn != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_358])]) ).

fof(f616,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xn,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl1_35
    | ~ spl1_48 ),
    inference(superposition,[],[f400,f511]) ).

fof(f6999,plain,
    ( spl1_357
    | ~ spl1_83
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1614,f1343,f1033,f6997]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) )
    | ~ spl1_83
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f1034]) ).

fof(f6988,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_356
    | ~ spl1_36
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f605,f456,f403,f6986,f150,f160]) ).

fof(f6986,plain,
    ( spl1_356
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_356])]) ).

fof(f605,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl1_36
    | ~ spl1_44 ),
    inference(superposition,[],[f404,f458]) ).

fof(f6978,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | spl1_355
    | ~ spl1_35
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f603,f456,f399,f6976,f160,f150]) ).

fof(f6976,plain,
    ( spl1_355
  <=> ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_355])]) ).

fof(f603,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl1_35
    | ~ spl1_44 ),
    inference(superposition,[],[f400,f458]) ).

fof(f6858,plain,
    ( spl1_354
    | ~ spl1_82
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1613,f1343,f1029,f6856]) ).

fof(f1613,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) )
    | ~ spl1_82
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f1030]) ).

fof(f6829,plain,
    ( spl1_353
    | ~ spl1_6
    | ~ spl1_63
    | ~ spl1_137 ),
    inference(avatar_split_clause,[],[f1995,f1897,f722,f165,f6827]) ).

fof(f6827,plain,
    ( spl1_353
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_353])]) ).

fof(f1897,plain,
    ( spl1_137
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_137])]) ).

fof(f1995,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_63
    | ~ spl1_137 ),
    inference(forward_demodulation,[],[f1986,f724]) ).

fof(f1986,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10)) )
    | ~ spl1_6
    | ~ spl1_137 ),
    inference(resolution,[],[f1898,f167]) ).

fof(f1898,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1)) )
    | ~ spl1_137 ),
    inference(avatar_component_clause,[],[f1897]) ).

fof(f6825,plain,
    ( spl1_352
    | ~ spl1_5
    | ~ spl1_58
    | ~ spl1_137 ),
    inference(avatar_split_clause,[],[f1994,f1897,f697,f160,f6823]) ).

fof(f6823,plain,
    ( spl1_352
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_352])]) ).

fof(f1994,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_58
    | ~ spl1_137 ),
    inference(forward_demodulation,[],[f1985,f699]) ).

fof(f1985,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00)) )
    | ~ spl1_5
    | ~ spl1_137 ),
    inference(resolution,[],[f1898,f162]) ).

fof(f6821,plain,
    ( spl1_351
    | ~ spl1_6
    | ~ spl1_59
    | ~ spl1_136 ),
    inference(avatar_split_clause,[],[f1981,f1893,f702,f165,f6819]) ).

fof(f6819,plain,
    ( spl1_351
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_351])]) ).

fof(f1893,plain,
    ( spl1_136
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_136])]) ).

fof(f1981,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_59
    | ~ spl1_136 ),
    inference(forward_demodulation,[],[f1972,f704]) ).

fof(f1972,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10)) )
    | ~ spl1_6
    | ~ spl1_136 ),
    inference(resolution,[],[f1894,f167]) ).

fof(f1894,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1)) )
    | ~ spl1_136 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f6817,plain,
    ( spl1_350
    | ~ spl1_5
    | ~ spl1_57
    | ~ spl1_136 ),
    inference(avatar_split_clause,[],[f1980,f1893,f692,f160,f6815]) ).

fof(f6815,plain,
    ( spl1_350
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_350])]) ).

fof(f692,plain,
    ( spl1_57
  <=> sz00 = sdtasdt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).

fof(f1980,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_57
    | ~ spl1_136 ),
    inference(forward_demodulation,[],[f1971,f694]) ).

fof(f694,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl1_57 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1971,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) )
    | ~ spl1_5
    | ~ spl1_136 ),
    inference(resolution,[],[f1894,f162]) ).

fof(f6813,plain,
    ( spl1_349
    | ~ spl1_5
    | ~ spl1_62
    | ~ spl1_135 ),
    inference(avatar_split_clause,[],[f1969,f1889,f717,f160,f6811]) ).

fof(f6811,plain,
    ( spl1_349
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_349])]) ).

fof(f1969,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_62
    | ~ spl1_135 ),
    inference(forward_demodulation,[],[f1960,f719]) ).

fof(f1960,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_135 ),
    inference(resolution,[],[f1890,f162]) ).

fof(f6809,plain,
    ( spl1_348
    | ~ spl1_6
    | ~ spl1_61
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1956,f1885,f712,f165,f6807]) ).

fof(f6807,plain,
    ( spl1_348
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_348])]) ).

fof(f1956,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_61
    | ~ spl1_134 ),
    inference(forward_demodulation,[],[f1947,f714]) ).

fof(f1947,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f167]) ).

fof(f6773,plain,
    ( spl1_347
    | ~ spl1_333
    | ~ spl1_346 ),
    inference(avatar_split_clause,[],[f6769,f6766,f5984,f6771]) ).

fof(f6771,plain,
    ( spl1_347
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_347])]) ).

fof(f6766,plain,
    ( spl1_346
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_346])]) ).

fof(f6769,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_333
    | ~ spl1_346 ),
    inference(forward_demodulation,[],[f6767,f5986]) ).

fof(f6767,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00)) )
    | ~ spl1_346 ),
    inference(avatar_component_clause,[],[f6766]) ).

fof(f6768,plain,
    ( spl1_346
    | ~ spl1_5
    | ~ spl1_60
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1955,f1885,f707,f160,f6766]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_60
    | ~ spl1_134 ),
    inference(forward_demodulation,[],[f1946,f709]) ).

fof(f1946,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f162]) ).

fof(f6764,plain,
    ( spl1_345
    | ~ spl1_6
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1464,f1415,f165,f6762]) ).

fof(f6762,plain,
    ( spl1_345
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_345])]) ).

fof(f1464,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f167]) ).

fof(f6505,plain,
    ( spl1_344
    | ~ spl1_55
    | ~ spl1_103
    | ~ spl1_203
    | ~ spl1_314
    | ~ spl1_332 ),
    inference(avatar_split_clause,[],[f6290,f5980,f5660,f3822,f1343,f550,f6502]) ).

fof(f6502,plain,
    ( spl1_344
  <=> sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_344])]) ).

fof(f3822,plain,
    ( spl1_203
  <=> sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_203])]) ).

fof(f5660,plain,
    ( spl1_314
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_314])]) ).

fof(f6290,plain,
    ( sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),xn)
    | ~ spl1_55
    | ~ spl1_103
    | ~ spl1_203
    | ~ spl1_314
    | ~ spl1_332 ),
    inference(forward_demodulation,[],[f6289,f6023]) ).

fof(f6023,plain,
    ( xm = sdtasdt0(xn,xm)
    | ~ spl1_55
    | ~ spl1_332 ),
    inference(superposition,[],[f552,f5982]) ).

fof(f6289,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xn)
    | ~ spl1_103
    | ~ spl1_203
    | ~ spl1_314 ),
    inference(forward_demodulation,[],[f6278,f3824]) ).

fof(f3824,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm))
    | ~ spl1_203 ),
    inference(avatar_component_clause,[],[f3822]) ).

fof(f6278,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),xm),xn)
    | ~ spl1_103
    | ~ spl1_314 ),
    inference(resolution,[],[f5661,f1344]) ).

fof(f5661,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,xm),xn) )
    | ~ spl1_314 ),
    inference(avatar_component_clause,[],[f5660]) ).

fof(f6272,plain,
    ( spl1_343
    | ~ spl1_81
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1612,f1343,f1025,f6270]) ).

fof(f1612,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) )
    | ~ spl1_81
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f1026]) ).

fof(f6096,plain,
    ( spl1_342
    | ~ spl1_4
    | ~ spl1_56
    | ~ spl1_137 ),
    inference(avatar_split_clause,[],[f1998,f1897,f555,f155,f6094]) ).

fof(f1998,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_56
    | ~ spl1_137 ),
    inference(forward_demodulation,[],[f1992,f557]) ).

fof(f1992,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz10,xn)) )
    | ~ spl1_4
    | ~ spl1_137 ),
    inference(resolution,[],[f1898,f157]) ).

fof(f6091,plain,
    ( spl1_341
    | ~ spl1_80
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1611,f1343,f1021,f6089]) ).

fof(f1611,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) )
    | ~ spl1_80
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f1022]) ).

fof(f6086,plain,
    ( spl1_340
    | ~ spl1_3
    | ~ spl1_55
    | ~ spl1_137 ),
    inference(avatar_split_clause,[],[f1997,f1897,f550,f150,f6084]) ).

fof(f1997,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_55
    | ~ spl1_137 ),
    inference(forward_demodulation,[],[f1991,f552]) ).

fof(f1991,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz10,xm)) )
    | ~ spl1_3
    | ~ spl1_137 ),
    inference(resolution,[],[f1898,f152]) ).

fof(f6082,plain,
    ( spl1_339
    | ~ spl1_4
    | ~ spl1_37
    | ~ spl1_136 ),
    inference(avatar_split_clause,[],[f1984,f1893,f407,f155,f6080]) ).

fof(f6080,plain,
    ( spl1_339
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_339])]) ).

fof(f1984,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_37
    | ~ spl1_136 ),
    inference(forward_demodulation,[],[f1978,f409]) ).

fof(f1978,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz00,xn)) )
    | ~ spl1_4
    | ~ spl1_136 ),
    inference(resolution,[],[f1894,f157]) ).

fof(f6078,plain,
    ( spl1_338
    | ~ spl1_3
    | ~ spl1_30
    | ~ spl1_136 ),
    inference(avatar_split_clause,[],[f1983,f1893,f345,f150,f6076]) ).

fof(f6076,plain,
    ( spl1_338
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_338])]) ).

fof(f1983,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_30
    | ~ spl1_136 ),
    inference(forward_demodulation,[],[f1977,f347]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz00,xm)) )
    | ~ spl1_3
    | ~ spl1_136 ),
    inference(resolution,[],[f1894,f152]) ).

fof(f6074,plain,
    ( spl1_337
    | ~ spl1_4
    | ~ spl1_48
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1959,f1885,f509,f155,f6072]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_48
    | ~ spl1_134 ),
    inference(forward_demodulation,[],[f1953,f511]) ).

fof(f1953,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sz00)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f157]) ).

fof(f6070,plain,
    ( spl1_336
    | ~ spl1_3
    | ~ spl1_44
    | ~ spl1_134 ),
    inference(avatar_split_clause,[],[f1958,f1885,f456,f150,f6068]) ).

fof(f6068,plain,
    ( spl1_336
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_336])]) ).

fof(f1958,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_44
    | ~ spl1_134 ),
    inference(forward_demodulation,[],[f1952,f458]) ).

fof(f1952,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sz00)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_134 ),
    inference(resolution,[],[f1886,f152]) ).

fof(f6017,plain,
    ( spl1_335
    | spl1_332
    | spl1_333
    | ~ spl1_4
    | ~ spl1_133 ),
    inference(avatar_split_clause,[],[f1882,f1872,f155,f5984,f5980,f6014]) ).

fof(f6014,plain,
    ( spl1_335
  <=> xn = sdtpldt0(sz10,sdtmndt0(xn,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_335])]) ).

fof(f1872,plain,
    ( spl1_133
  <=> ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_133])]) ).

fof(f1882,plain,
    ( sz00 = xn
    | sz10 = xn
    | xn = sdtpldt0(sz10,sdtmndt0(xn,sz10))
    | ~ spl1_4
    | ~ spl1_133 ),
    inference(resolution,[],[f1873,f157]) ).

fof(f1873,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
    | ~ spl1_133 ),
    inference(avatar_component_clause,[],[f1872]) ).

fof(f5992,plain,
    ( spl1_334
    | ~ spl1_70
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1606,f1343,f889,f5989]) ).

fof(f5989,plain,
    ( spl1_334
  <=> sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_334])]) ).

fof(f1606,plain,
    ( sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm))
    | ~ spl1_70
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f890]) ).

fof(f5987,plain,
    ( spl1_331
    | spl1_332
    | spl1_333
    | ~ spl1_4
    | ~ spl1_131 ),
    inference(avatar_split_clause,[],[f1864,f1854,f155,f5984,f5980,f5976]) ).

fof(f5976,plain,
    ( spl1_331
  <=> xn = sdtpldt0(sz10,sK0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_331])]) ).

fof(f1854,plain,
    ( spl1_131
  <=> ! [X0] :
        ( sdtpldt0(sz10,sK0(sz10,X0)) = X0
        | sz00 = X0
        | sz10 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_131])]) ).

fof(f1864,plain,
    ( sz00 = xn
    | sz10 = xn
    | xn = sdtpldt0(sz10,sK0(sz10,xn))
    | ~ spl1_4
    | ~ spl1_131 ),
    inference(resolution,[],[f1855,f157]) ).

fof(f1855,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = X0
        | sz10 = X0
        | sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
    | ~ spl1_131 ),
    inference(avatar_component_clause,[],[f1854]) ).

fof(f5974,plain,
    ( spl1_330
    | ~ spl1_6
    | ~ spl1_54
    | ~ spl1_125 ),
    inference(avatar_split_clause,[],[f1836,f1781,f545,f165,f5972]) ).

fof(f5972,plain,
    ( spl1_330
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_330])]) ).

fof(f1836,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_54
    | ~ spl1_125 ),
    inference(forward_demodulation,[],[f1827,f547]) ).

fof(f1827,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xn,sz10)) )
    | ~ spl1_6
    | ~ spl1_125 ),
    inference(resolution,[],[f1782,f167]) ).

fof(f5970,plain,
    ( spl1_329
    | ~ spl1_5
    | ~ spl1_25
    | ~ spl1_125 ),
    inference(avatar_split_clause,[],[f1835,f1781,f297,f160,f5968]) ).

fof(f5968,plain,
    ( spl1_329
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_329])]) ).

fof(f1835,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_25
    | ~ spl1_125 ),
    inference(forward_demodulation,[],[f1826,f299]) ).

fof(f1826,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,sz00)) )
    | ~ spl1_5
    | ~ spl1_125 ),
    inference(resolution,[],[f1782,f162]) ).

fof(f5966,plain,
    ( spl1_328
    | ~ spl1_6
    | ~ spl1_53
    | ~ spl1_124 ),
    inference(avatar_split_clause,[],[f1824,f1777,f540,f165,f5964]) ).

fof(f5964,plain,
    ( spl1_328
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_328])]) ).

fof(f1824,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_53
    | ~ spl1_124 ),
    inference(forward_demodulation,[],[f1815,f542]) ).

fof(f1815,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xm,sz10)) )
    | ~ spl1_6
    | ~ spl1_124 ),
    inference(resolution,[],[f1778,f167]) ).

fof(f5962,plain,
    ( spl1_327
    | ~ spl1_5
    | ~ spl1_18
    | ~ spl1_124 ),
    inference(avatar_split_clause,[],[f1823,f1777,f252,f160,f5960]) ).

fof(f5960,plain,
    ( spl1_327
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_327])]) ).

fof(f1823,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_18
    | ~ spl1_124 ),
    inference(forward_demodulation,[],[f1814,f254]) ).

fof(f1814,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,sz00)) )
    | ~ spl1_5
    | ~ spl1_124 ),
    inference(resolution,[],[f1778,f162]) ).

fof(f5958,plain,
    ( spl1_326
    | ~ spl1_5
    | ~ spl1_52
    | ~ spl1_123 ),
    inference(avatar_split_clause,[],[f1810,f1773,f535,f160,f5956]) ).

fof(f5956,plain,
    ( spl1_326
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_326])]) ).

fof(f1810,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_52
    | ~ spl1_123 ),
    inference(forward_demodulation,[],[f1801,f537]) ).

fof(f1801,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,xn)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_123 ),
    inference(resolution,[],[f1774,f162]) ).

fof(f5954,plain,
    ( spl1_325
    | ~ spl1_5
    | ~ spl1_51
    | ~ spl1_122 ),
    inference(avatar_split_clause,[],[f1798,f1769,f530,f160,f5952]) ).

fof(f5952,plain,
    ( spl1_325
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_325])]) ).

fof(f1798,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_51
    | ~ spl1_122 ),
    inference(forward_demodulation,[],[f1789,f532]) ).

fof(f1789,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,xm)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_122 ),
    inference(resolution,[],[f1770,f162]) ).

fof(f5928,plain,
    ( spl1_324
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1755,f1544,f179,f150,f165,f5925]) ).

fof(f5925,plain,
    ( spl1_324
  <=> sdtmndt0(xm,sz10) = sdtasdt0(sz10,sdtmndt0(xm,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_324])]) ).

fof(f1755,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sdtmndt0(xm,sz10) = sdtasdt0(sz10,sdtmndt0(xm,sz10))
    | ~ spl1_9
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f181]) ).

fof(f5882,plain,
    ( spl1_323
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1734,f1540,f179,f150,f165,f5879]) ).

fof(f5879,plain,
    ( spl1_323
  <=> sdtmndt0(xm,sz10) = sdtasdt0(sdtmndt0(xm,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_323])]) ).

fof(f1734,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sdtmndt0(xm,sz10) = sdtasdt0(sdtmndt0(xm,sz10),sz10)
    | ~ spl1_9
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f181]) ).

fof(f5848,plain,
    ( spl1_322
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1713,f1536,f179,f150,f165,f5845]) ).

fof(f5845,plain,
    ( spl1_322
  <=> sdtmndt0(xm,sz10) = sdtpldt0(sz00,sdtmndt0(xm,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_322])]) ).

fof(f1713,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sdtmndt0(xm,sz10) = sdtpldt0(sz00,sdtmndt0(xm,sz10))
    | ~ spl1_9
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f181]) ).

fof(f5815,plain,
    ( spl1_321
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1692,f1532,f179,f150,f165,f5812]) ).

fof(f5812,plain,
    ( spl1_321
  <=> sdtmndt0(xm,sz10) = sdtpldt0(sdtmndt0(xm,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_321])]) ).

fof(f1692,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sdtmndt0(xm,sz10) = sdtpldt0(sdtmndt0(xm,sz10),sz00)
    | ~ spl1_9
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f181]) ).

fof(f5788,plain,
    ( spl1_320
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1671,f1528,f179,f150,f165,f5785]) ).

fof(f1671,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sK0(sz10,xm) = sdtasdt0(sz10,sK0(sz10,xm))
    | ~ spl1_9
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f181]) ).

fof(f5761,plain,
    ( spl1_319
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1650,f1524,f179,f150,f165,f5758]) ).

fof(f5758,plain,
    ( spl1_319
  <=> sK0(sz10,xm) = sdtasdt0(sK0(sz10,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_319])]) ).

fof(f1650,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sK0(sz10,xm) = sdtasdt0(sK0(sz10,xm),sz10)
    | ~ spl1_9
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f181]) ).

fof(f5708,plain,
    ( spl1_318
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1576,f1520,f179,f150,f165,f5705]) ).

fof(f5705,plain,
    ( spl1_318
  <=> sK0(sz10,xm) = sdtpldt0(sz00,sK0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_318])]) ).

fof(f1576,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sK0(sz10,xm) = sdtpldt0(sz00,sK0(sz10,xm))
    | ~ spl1_9
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f181]) ).

fof(f5675,plain,
    ( spl1_317
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1555,f1516,f179,f150,f165,f5672]) ).

fof(f5672,plain,
    ( spl1_317
  <=> sK0(sz10,xm) = sdtpldt0(sK0(sz10,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_317])]) ).

fof(f1555,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sK0(sz10,xm) = sdtpldt0(sK0(sz10,xm),sz00)
    | ~ spl1_9
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f181]) ).

fof(f5670,plain,
    ( spl1_316
    | ~ spl1_4
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1469,f1415,f155,f5668]) ).

fof(f5668,plain,
    ( spl1_316
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_316])]) ).

fof(f1469,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f157]) ).

fof(f5666,plain,
    ( spl1_315
    | ~ spl1_3
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1468,f1415,f150,f5664]) ).

fof(f5664,plain,
    ( spl1_315
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_315])]) ).

fof(f1468,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f152]) ).

fof(f5662,plain,
    ( spl1_314
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_66
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1404,f1360,f834,f155,f150,f5660]) ).

fof(f1404,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_66
    | ~ spl1_107 ),
    inference(forward_demodulation,[],[f1399,f865]) ).

fof(f1399,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),xn) = sdtasdt0(X0,sdtasdt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f152]) ).

fof(f5658,plain,
    ( spl1_313
    | ~ spl1_4
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1400,f1360,f155,f5656]) ).

fof(f1400,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f157]) ).

fof(f5654,plain,
    ( spl1_312
    | ~ spl1_4
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1390,f1356,f155,f5652]) ).

fof(f5652,plain,
    ( spl1_312
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_312])]) ).

fof(f1390,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f157]) ).

fof(f5650,plain,
    ( spl1_311
    | ~ spl1_3
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1389,f1356,f150,f5648]) ).

fof(f5648,plain,
    ( spl1_311
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_311])]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f152]) ).

fof(f5627,plain,
    ( spl1_310
    | ~ spl1_3
    | ~ spl1_97
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1383,f1352,f1206,f150,f5625]) ).

fof(f5625,plain,
    ( spl1_310
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_310])]) ).

fof(f1383,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_97
    | ~ spl1_105 ),
    inference(forward_demodulation,[],[f1378,f1208]) ).

fof(f1378,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),xn) = sdtpldt0(X0,sdtpldt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f152]) ).

fof(f5623,plain,
    ( spl1_309
    | ~ spl1_6
    | ~ spl1_65
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1382,f1352,f830,f165,f5621]) ).

fof(f5621,plain,
    ( spl1_309
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(xn,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_309])]) ).

fof(f1382,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(xn,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_65
    | ~ spl1_105 ),
    inference(forward_demodulation,[],[f1374,f851]) ).

fof(f1374,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(sz10,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f167]) ).

fof(f5619,plain,
    ( spl1_308
    | ~ spl1_4
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1379,f1352,f155,f5617]) ).

fof(f5617,plain,
    ( spl1_308
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_308])]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f157]) ).

fof(f5615,plain,
    ( spl1_307
    | ~ spl1_6
    | ~ spl1_94
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1372,f1348,f1129,f165,f5613]) ).

fof(f5613,plain,
    ( spl1_307
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(xm,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_307])]) ).

fof(f1372,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(xm,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_94
    | ~ spl1_104 ),
    inference(forward_demodulation,[],[f1364,f1131]) ).

fof(f1364,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f167]) ).

fof(f5611,plain,
    ( spl1_306
    | ~ spl1_4
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1369,f1348,f155,f5609]) ).

fof(f5609,plain,
    ( spl1_306
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_306])]) ).

fof(f1369,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f157]) ).

fof(f5607,plain,
    ( spl1_305
    | ~ spl1_3
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1368,f1348,f150,f5605]) ).

fof(f5605,plain,
    ( spl1_305
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_305])]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f152]) ).

fof(f5591,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_304
    | ~ spl1_62
    | ~ spl1_140 ),
    inference(avatar_split_clause,[],[f2074,f2020,f717,f5589,f165,f160]) ).

fof(f5589,plain,
    ( spl1_304
  <=> ! [X0] :
        ( sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X0,sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_304])]) ).

fof(f2074,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz10)
        | ~ sdtlseqdt0(X0,sz00)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_62
    | ~ spl1_140 ),
    inference(duplicate_literal_removal,[],[f2067]) ).

fof(f2067,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz10)
        | ~ sdtlseqdt0(X0,sz00)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_62
    | ~ spl1_140 ),
    inference(superposition,[],[f2021,f719]) ).

fof(f5109,plain,
    ( ~ spl1_5
    | spl1_303
    | ~ spl1_6
    | ~ spl1_62
    | ~ spl1_142 ),
    inference(avatar_split_clause,[],[f2145,f2112,f717,f165,f5106,f160]) ).

fof(f5106,plain,
    ( spl1_303
  <=> sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_303])]) ).

fof(f2145,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_62
    | ~ spl1_142 ),
    inference(duplicate_literal_removal,[],[f2138]) ).

fof(f2138,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_62
    | ~ spl1_142 ),
    inference(superposition,[],[f2113,f719]) ).

fof(f5084,plain,
    ( ~ spl1_5
    | spl1_302
    | ~ spl1_6
    | ~ spl1_62
    | ~ spl1_141 ),
    inference(avatar_split_clause,[],[f2127,f2108,f717,f165,f5081,f160]) ).

fof(f5081,plain,
    ( spl1_302
  <=> sz10 = sdtpldt0(sz00,sK0(sz00,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_302])]) ).

fof(f2127,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sK0(sz00,sz10))
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_62
    | ~ spl1_141 ),
    inference(duplicate_literal_removal,[],[f2120]) ).

fof(f2120,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sK0(sz00,sz10))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_62
    | ~ spl1_141 ),
    inference(superposition,[],[f2109,f719]) ).

fof(f5079,plain,
    ( spl1_301
    | ~ spl1_8
    | ~ spl1_121 ),
    inference(avatar_split_clause,[],[f1767,f1544,f175,f5077]) ).

fof(f5077,plain,
    ( spl1_301
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_301])]) ).

fof(f1767,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_121 ),
    inference(duplicate_literal_removal,[],[f1747]) ).

fof(f1747,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_121 ),
    inference(resolution,[],[f1545,f176]) ).

fof(f5075,plain,
    ( spl1_300
    | ~ spl1_8
    | ~ spl1_120 ),
    inference(avatar_split_clause,[],[f1746,f1540,f175,f5073]) ).

fof(f5073,plain,
    ( spl1_300
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_300])]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) )
    | ~ spl1_8
    | ~ spl1_120 ),
    inference(duplicate_literal_removal,[],[f1726]) ).

fof(f1726,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_120 ),
    inference(resolution,[],[f1541,f176]) ).

fof(f5071,plain,
    ( spl1_299
    | ~ spl1_8
    | ~ spl1_119 ),
    inference(avatar_split_clause,[],[f1725,f1536,f175,f5069]) ).

fof(f5069,plain,
    ( spl1_299
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_299])]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_119 ),
    inference(duplicate_literal_removal,[],[f1705]) ).

fof(f1705,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_119 ),
    inference(resolution,[],[f1537,f176]) ).

fof(f5067,plain,
    ( spl1_298
    | ~ spl1_8
    | ~ spl1_118 ),
    inference(avatar_split_clause,[],[f1704,f1532,f175,f5065]) ).

fof(f5065,plain,
    ( spl1_298
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_298])]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) )
    | ~ spl1_8
    | ~ spl1_118 ),
    inference(duplicate_literal_removal,[],[f1684]) ).

fof(f1684,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_118 ),
    inference(resolution,[],[f1533,f176]) ).

fof(f5063,plain,
    ( spl1_297
    | ~ spl1_8
    | ~ spl1_117 ),
    inference(avatar_split_clause,[],[f1683,f1528,f175,f5061]) ).

fof(f5061,plain,
    ( spl1_297
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_297])]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_117 ),
    inference(duplicate_literal_removal,[],[f1663]) ).

fof(f1663,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sz10,sK0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_117 ),
    inference(resolution,[],[f1529,f176]) ).

fof(f5059,plain,
    ( spl1_296
    | ~ spl1_8
    | ~ spl1_116 ),
    inference(avatar_split_clause,[],[f1662,f1524,f175,f5057]) ).

fof(f5057,plain,
    ( spl1_296
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_296])]) ).

fof(f1662,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10) )
    | ~ spl1_8
    | ~ spl1_116 ),
    inference(duplicate_literal_removal,[],[f1642]) ).

fof(f1642,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtasdt0(sK0(X0,X0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_116 ),
    inference(resolution,[],[f1525,f176]) ).

fof(f5055,plain,
    ( spl1_295
    | ~ spl1_8
    | ~ spl1_115 ),
    inference(avatar_split_clause,[],[f1588,f1520,f175,f5053]) ).

fof(f5053,plain,
    ( spl1_295
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_295])]) ).

fof(f1588,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_115 ),
    inference(duplicate_literal_removal,[],[f1568]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sz00,sK0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_115 ),
    inference(resolution,[],[f1521,f176]) ).

fof(f5032,plain,
    ( spl1_294
    | ~ spl1_8
    | ~ spl1_114 ),
    inference(avatar_split_clause,[],[f1567,f1516,f175,f5030]) ).

fof(f5030,plain,
    ( spl1_294
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_294])]) ).

fof(f1567,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00) )
    | ~ spl1_8
    | ~ spl1_114 ),
    inference(duplicate_literal_removal,[],[f1547]) ).

fof(f1547,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X0) = sdtpldt0(sK0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_114 ),
    inference(resolution,[],[f1517,f176]) ).

fof(f5028,plain,
    ( spl1_293
    | ~ spl1_16
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1513,f1427,f232,f5026]) ).

fof(f5026,plain,
    ( spl1_293
  <=> ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_293])]) ).

fof(f1513,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1496]) ).

fof(f1496,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_16
    | ~ spl1_113 ),
    inference(resolution,[],[f1428,f233]) ).

fof(f5024,plain,
    ( spl1_292
    | ~ spl1_6
    | ~ spl1_63
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1493,f1423,f722,f165,f5022]) ).

fof(f5022,plain,
    ( spl1_292
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_292])]) ).

fof(f1493,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_63
    | ~ spl1_112 ),
    inference(forward_demodulation,[],[f1485,f724]) ).

fof(f1485,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f167]) ).

fof(f5020,plain,
    ( spl1_291
    | ~ spl1_5
    | ~ spl1_59
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1492,f1423,f702,f160,f5018]) ).

fof(f5018,plain,
    ( spl1_291
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_291])]) ).

fof(f1492,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_59
    | ~ spl1_112 ),
    inference(forward_demodulation,[],[f1484,f704]) ).

fof(f1484,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f162]) ).

fof(f5016,plain,
    ( spl1_290
    | ~ spl1_6
    | ~ spl1_58
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1481,f1419,f697,f165,f5014]) ).

fof(f5014,plain,
    ( spl1_290
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_290])]) ).

fof(f1481,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_58
    | ~ spl1_111 ),
    inference(forward_demodulation,[],[f1473,f699]) ).

fof(f1473,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f167]) ).

fof(f5012,plain,
    ( spl1_289
    | ~ spl1_5
    | ~ spl1_57
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1480,f1419,f692,f160,f5010]) ).

fof(f5010,plain,
    ( spl1_289
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_289])]) ).

fof(f1480,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_57
    | ~ spl1_111 ),
    inference(forward_demodulation,[],[f1472,f694]) ).

fof(f1472,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f162]) ).

fof(f5008,plain,
    ( spl1_288
    | ~ spl1_5
    | ~ spl1_62
    | ~ spl1_110 ),
    inference(avatar_split_clause,[],[f1471,f1415,f717,f160,f5006]) ).

fof(f5006,plain,
    ( spl1_288
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_288])]) ).

fof(f1471,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_62
    | ~ spl1_110 ),
    inference(forward_demodulation,[],[f1463,f719]) ).

fof(f1463,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(X0,sdtpldt0(sz00,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_110 ),
    inference(resolution,[],[f1416,f162]) ).

fof(f5004,plain,
    ( spl1_287
    | ~ spl1_6
    | ~ spl1_61
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1460,f1410,f712,f165,f5002]) ).

fof(f5002,plain,
    ( spl1_287
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_287])]) ).

fof(f1460,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_61
    | ~ spl1_109 ),
    inference(forward_demodulation,[],[f1452,f714]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f167]) ).

fof(f5000,plain,
    ( spl1_286
    | ~ spl1_5
    | ~ spl1_60
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1459,f1410,f707,f160,f4998]) ).

fof(f4998,plain,
    ( spl1_286
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_286])]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_60
    | ~ spl1_109 ),
    inference(forward_demodulation,[],[f1451,f709]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f162]) ).

fof(f4996,plain,
    ( spl1_285
    | ~ spl1_6
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1190,f1113,f165,f4994]) ).

fof(f4994,plain,
    ( spl1_285
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_285])]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
    | ~ spl1_6
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f167]) ).

fof(f4992,plain,
    ( spl1_284
    | ~ spl1_103
    | ~ spl1_216 ),
    inference(avatar_split_clause,[],[f4075,f3977,f1343,f4989]) ).

fof(f4989,plain,
    ( spl1_284
  <=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_284])]) ).

fof(f4075,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_216 ),
    inference(resolution,[],[f3978,f1344]) ).

fof(f4987,plain,
    ( spl1_283
    | ~ spl1_5
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1189,f1113,f160,f4985]) ).

fof(f4985,plain,
    ( spl1_283
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_283])]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
    | ~ spl1_5
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f162]) ).

fof(f4983,plain,
    ( spl1_282
    | ~ spl1_6
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1182,f1109,f165,f4981]) ).

fof(f4981,plain,
    ( spl1_282
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_282])]) ).

fof(f1182,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f167]) ).

fof(f4979,plain,
    ( spl1_281
    | ~ spl1_5
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1181,f1109,f160,f4977]) ).

fof(f4977,plain,
    ( spl1_281
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_281])]) ).

fof(f1181,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f162]) ).

fof(f4975,plain,
    ( spl1_280
    | ~ spl1_6
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1174,f1105,f165,f4973]) ).

fof(f4973,plain,
    ( spl1_280
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_280])]) ).

fof(f1174,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
    | ~ spl1_6
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f167]) ).

fof(f4971,plain,
    ( spl1_279
    | ~ spl1_5
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1173,f1105,f160,f4969]) ).

fof(f4969,plain,
    ( spl1_279
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_279])]) ).

fof(f1173,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
    | ~ spl1_5
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f162]) ).

fof(f4967,plain,
    ( spl1_278
    | ~ spl1_6
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1166,f1101,f165,f4965]) ).

fof(f4965,plain,
    ( spl1_278
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_278])]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f167]) ).

fof(f4963,plain,
    ( spl1_277
    | ~ spl1_5
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1165,f1101,f160,f4961]) ).

fof(f4961,plain,
    ( spl1_277
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_277])]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f162]) ).

fof(f4959,plain,
    ( spl1_276
    | ~ spl1_6
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1158,f1097,f165,f4957]) ).

fof(f4957,plain,
    ( spl1_276
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_276])]) ).

fof(f1158,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
    | ~ spl1_6
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f167]) ).

fof(f4955,plain,
    ( spl1_275
    | ~ spl1_5
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1157,f1097,f160,f4953]) ).

fof(f4953,plain,
    ( spl1_275
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_275])]) ).

fof(f1157,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
    | ~ spl1_5
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f162]) ).

fof(f4951,plain,
    ( spl1_274
    | ~ spl1_6
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1150,f1093,f165,f4949]) ).

fof(f4949,plain,
    ( spl1_274
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_274])]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f167]) ).

fof(f4947,plain,
    ( spl1_273
    | ~ spl1_103
    | ~ spl1_214 ),
    inference(avatar_split_clause,[],[f4049,f3969,f1343,f4944]) ).

fof(f4049,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_214 ),
    inference(resolution,[],[f3970,f1344]) ).

fof(f4942,plain,
    ( spl1_272
    | ~ spl1_5
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1149,f1093,f160,f4940]) ).

fof(f4940,plain,
    ( spl1_272
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_272])]) ).

fof(f1149,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f162]) ).

fof(f4938,plain,
    ( spl1_271
    | ~ spl1_6
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1142,f1089,f165,f4936]) ).

fof(f4936,plain,
    ( spl1_271
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_271])]) ).

fof(f1142,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
    | ~ spl1_6
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f167]) ).

fof(f4934,plain,
    ( spl1_270
    | ~ spl1_5
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1141,f1089,f160,f4932]) ).

fof(f4932,plain,
    ( spl1_270
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_270])]) ).

fof(f1141,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
    | ~ spl1_5
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f162]) ).

fof(f4930,plain,
    ( spl1_269
    | ~ spl1_6
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1134,f1085,f165,f4928]) ).

fof(f4928,plain,
    ( spl1_269
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_269])]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f167]) ).

fof(f4926,plain,
    ( spl1_268
    | ~ spl1_5
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1133,f1085,f160,f4924]) ).

fof(f4924,plain,
    ( spl1_268
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_268])]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f162]) ).

fof(f4595,plain,
    ( spl1_267
    | ~ spl1_103
    | ~ spl1_206 ),
    inference(avatar_split_clause,[],[f3952,f3835,f1343,f4592]) ).

fof(f3952,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_206 ),
    inference(resolution,[],[f3836,f1344]) ).

fof(f4558,plain,
    ( spl1_266
    | ~ spl1_4
    | ~ spl1_54
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1495,f1423,f545,f155,f4556]) ).

fof(f4556,plain,
    ( spl1_266
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_266])]) ).

fof(f1495,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_54
    | ~ spl1_112 ),
    inference(forward_demodulation,[],[f1490,f547]) ).

fof(f1490,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sz10) = sdtasdt0(X0,sdtasdt0(xn,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f157]) ).

fof(f4554,plain,
    ( spl1_265
    | ~ spl1_3
    | ~ spl1_53
    | ~ spl1_112 ),
    inference(avatar_split_clause,[],[f1494,f1423,f540,f150,f4552]) ).

fof(f4552,plain,
    ( spl1_265
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_265])]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_53
    | ~ spl1_112 ),
    inference(forward_demodulation,[],[f1489,f542]) ).

fof(f1489,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sz10) = sdtasdt0(X0,sdtasdt0(xm,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_112 ),
    inference(resolution,[],[f1424,f152]) ).

fof(f4550,plain,
    ( spl1_264
    | ~ spl1_4
    | ~ spl1_25
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1483,f1419,f297,f155,f4548]) ).

fof(f4548,plain,
    ( spl1_264
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_264])]) ).

fof(f1483,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_25
    | ~ spl1_111 ),
    inference(forward_demodulation,[],[f1478,f299]) ).

fof(f1478,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sz00) = sdtasdt0(X0,sdtasdt0(xn,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f157]) ).

fof(f4546,plain,
    ( spl1_263
    | ~ spl1_3
    | ~ spl1_18
    | ~ spl1_111 ),
    inference(avatar_split_clause,[],[f1482,f1419,f252,f150,f4544]) ).

fof(f4544,plain,
    ( spl1_263
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_263])]) ).

fof(f1482,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_18
    | ~ spl1_111 ),
    inference(forward_demodulation,[],[f1477,f254]) ).

fof(f1477,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sz00) = sdtasdt0(X0,sdtasdt0(xm,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_111 ),
    inference(resolution,[],[f1420,f152]) ).

fof(f4542,plain,
    ( spl1_262
    | ~ spl1_4
    | ~ spl1_48
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1462,f1410,f509,f155,f4540]) ).

fof(f4540,plain,
    ( spl1_262
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_262])]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_48
    | ~ spl1_109 ),
    inference(forward_demodulation,[],[f1457,f511]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(X0,sdtpldt0(xn,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f157]) ).

fof(f4538,plain,
    ( spl1_261
    | ~ spl1_3
    | ~ spl1_44
    | ~ spl1_109 ),
    inference(avatar_split_clause,[],[f1461,f1410,f456,f150,f4536]) ).

fof(f4536,plain,
    ( spl1_261
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_261])]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_44
    | ~ spl1_109 ),
    inference(forward_demodulation,[],[f1456,f458]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(X0,sdtpldt0(xm,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_109 ),
    inference(resolution,[],[f1411,f152]) ).

fof(f4534,plain,
    ( spl1_260
    | ~ spl1_6
    | ~ spl1_56
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1403,f1360,f555,f165,f4532]) ).

fof(f4532,plain,
    ( spl1_260
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_260])]) ).

fof(f1403,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_56
    | ~ spl1_107 ),
    inference(forward_demodulation,[],[f1395,f557]) ).

fof(f1395,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),xn) = sdtasdt0(X0,sdtasdt0(sz10,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f167]) ).

fof(f4530,plain,
    ( spl1_259
    | ~ spl1_103
    | ~ spl1_205 ),
    inference(avatar_split_clause,[],[f3940,f3831,f1343,f4527]) ).

fof(f3831,plain,
    ( spl1_205
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_205])]) ).

fof(f3940,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_205 ),
    inference(resolution,[],[f3832,f1344]) ).

fof(f3832,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
    | ~ spl1_205 ),
    inference(avatar_component_clause,[],[f3831]) ).

fof(f4525,plain,
    ( spl1_258
    | ~ spl1_5
    | ~ spl1_37
    | ~ spl1_107 ),
    inference(avatar_split_clause,[],[f1402,f1360,f407,f160,f4523]) ).

fof(f4523,plain,
    ( spl1_258
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_258])]) ).

fof(f1402,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_37
    | ~ spl1_107 ),
    inference(forward_demodulation,[],[f1394,f409]) ).

fof(f1394,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),xn) = sdtasdt0(X0,sdtasdt0(sz00,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_107 ),
    inference(resolution,[],[f1361,f162]) ).

fof(f4521,plain,
    ( spl1_257
    | ~ spl1_6
    | ~ spl1_55
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1393,f1356,f550,f165,f4519]) ).

fof(f4519,plain,
    ( spl1_257
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_257])]) ).

fof(f1393,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_55
    | ~ spl1_106 ),
    inference(forward_demodulation,[],[f1385,f552]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),xm) = sdtasdt0(X0,sdtasdt0(sz10,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f167]) ).

fof(f4517,plain,
    ( spl1_256
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_106 ),
    inference(avatar_split_clause,[],[f1392,f1356,f345,f160,f4515]) ).

fof(f4515,plain,
    ( spl1_256
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_256])]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_30
    | ~ spl1_106 ),
    inference(forward_demodulation,[],[f1384,f347]) ).

fof(f1384,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),xm) = sdtasdt0(X0,sdtasdt0(sz00,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_106 ),
    inference(resolution,[],[f1357,f162]) ).

fof(f4513,plain,
    ( spl1_255
    | ~ spl1_5
    | ~ spl1_52
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1381,f1352,f535,f160,f4511]) ).

fof(f4511,plain,
    ( spl1_255
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_255])]) ).

fof(f1381,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_52
    | ~ spl1_105 ),
    inference(forward_demodulation,[],[f1373,f537]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(X0,sdtpldt0(sz00,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_105 ),
    inference(resolution,[],[f1353,f162]) ).

fof(f4509,plain,
    ( spl1_254
    | ~ spl1_5
    | ~ spl1_51
    | ~ spl1_104 ),
    inference(avatar_split_clause,[],[f1371,f1348,f530,f160,f4507]) ).

fof(f4507,plain,
    ( spl1_254
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_254])]) ).

fof(f1371,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_51
    | ~ spl1_104 ),
    inference(forward_demodulation,[],[f1363,f532]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(X0,sdtpldt0(sz00,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_104 ),
    inference(resolution,[],[f1349,f162]) ).

fof(f4486,plain,
    ( spl1_253
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_99 ),
    inference(avatar_split_clause,[],[f1283,f1215,f179,f150,f165,f4483]) ).

fof(f4483,plain,
    ( spl1_253
  <=> sz00 = sdtasdt0(sz00,sdtmndt0(xm,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_253])]) ).

fof(f1283,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sz00 = sdtasdt0(sz00,sdtmndt0(xm,sz10))
    | ~ spl1_9
    | ~ spl1_99 ),
    inference(resolution,[],[f1216,f181]) ).

fof(f4462,plain,
    ( spl1_252
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_98 ),
    inference(avatar_split_clause,[],[f1266,f1211,f179,f150,f165,f4459]) ).

fof(f4459,plain,
    ( spl1_252
  <=> sz00 = sdtasdt0(sdtmndt0(xm,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_252])]) ).

fof(f1266,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sz00 = sdtasdt0(sdtmndt0(xm,sz10),sz00)
    | ~ spl1_9
    | ~ spl1_98 ),
    inference(resolution,[],[f1212,f181]) ).

fof(f4438,plain,
    ( spl1_251
    | ~ spl1_103
    | ~ spl1_204 ),
    inference(avatar_split_clause,[],[f3929,f3827,f1343,f4435]) ).

fof(f4435,plain,
    ( spl1_251
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_251])]) ).

fof(f3929,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_204 ),
    inference(resolution,[],[f3828,f1344]) ).

fof(f4433,plain,
    ( spl1_250
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_96 ),
    inference(avatar_split_clause,[],[f1249,f1202,f179,f150,f165,f4430]) ).

fof(f4430,plain,
    ( spl1_250
  <=> sz00 = sdtasdt0(sz00,sK0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_250])]) ).

fof(f1249,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sz00 = sdtasdt0(sz00,sK0(sz10,xm))
    | ~ spl1_9
    | ~ spl1_96 ),
    inference(resolution,[],[f1203,f181]) ).

fof(f4409,plain,
    ( spl1_249
    | ~ spl1_6
    | ~ spl1_3
    | ~ spl1_9
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f1232,f1198,f179,f150,f165,f4406]) ).

fof(f4406,plain,
    ( spl1_249
  <=> sz00 = sdtasdt0(sK0(sz10,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_249])]) ).

fof(f1232,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | sz00 = sdtasdt0(sK0(sz10,xm),sz00)
    | ~ spl1_9
    | ~ spl1_95 ),
    inference(resolution,[],[f1199,f181]) ).

fof(f4404,plain,
    ( spl1_248
    | ~ spl1_4
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1195,f1113,f155,f4402]) ).

fof(f4402,plain,
    ( spl1_248
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_248])]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) )
    | ~ spl1_4
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f157]) ).

fof(f4400,plain,
    ( spl1_247
    | ~ spl1_3
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f1194,f1113,f150,f4398]) ).

fof(f4398,plain,
    ( spl1_247
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_247])]) ).

fof(f1194,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) )
    | ~ spl1_3
    | ~ spl1_92 ),
    inference(resolution,[],[f1114,f152]) ).

fof(f4396,plain,
    ( spl1_246
    | ~ spl1_4
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1187,f1109,f155,f4394]) ).

fof(f4394,plain,
    ( spl1_246
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_246])]) ).

fof(f1187,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f157]) ).

fof(f4392,plain,
    ( spl1_245
    | ~ spl1_3
    | ~ spl1_91 ),
    inference(avatar_split_clause,[],[f1186,f1109,f150,f4390]) ).

fof(f4390,plain,
    ( spl1_245
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_245])]) ).

fof(f1186,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_91 ),
    inference(resolution,[],[f1110,f152]) ).

fof(f4388,plain,
    ( spl1_244
    | ~ spl1_4
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1179,f1105,f155,f4386]) ).

fof(f4386,plain,
    ( spl1_244
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_244])]) ).

fof(f1179,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) )
    | ~ spl1_4
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f157]) ).

fof(f4384,plain,
    ( spl1_243
    | ~ spl1_3
    | ~ spl1_90 ),
    inference(avatar_split_clause,[],[f1178,f1105,f150,f4382]) ).

fof(f4382,plain,
    ( spl1_243
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_243])]) ).

fof(f1178,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) )
    | ~ spl1_3
    | ~ spl1_90 ),
    inference(resolution,[],[f1106,f152]) ).

fof(f4380,plain,
    ( spl1_242
    | ~ spl1_4
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1171,f1101,f155,f4378]) ).

fof(f4378,plain,
    ( spl1_242
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_242])]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f157]) ).

fof(f4376,plain,
    ( spl1_241
    | ~ spl1_103
    | ~ spl1_202 ),
    inference(avatar_split_clause,[],[f3917,f3818,f1343,f4373]) ).

fof(f3818,plain,
    ( spl1_202
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_202])]) ).

fof(f3917,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_202 ),
    inference(resolution,[],[f3819,f1344]) ).

fof(f3819,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
    | ~ spl1_202 ),
    inference(avatar_component_clause,[],[f3818]) ).

fof(f4371,plain,
    ( spl1_240
    | ~ spl1_3
    | ~ spl1_89 ),
    inference(avatar_split_clause,[],[f1170,f1101,f150,f4369]) ).

fof(f4369,plain,
    ( spl1_240
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_240])]) ).

fof(f1170,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_89 ),
    inference(resolution,[],[f1102,f152]) ).

fof(f4367,plain,
    ( spl1_239
    | ~ spl1_4
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1163,f1097,f155,f4365]) ).

fof(f4365,plain,
    ( spl1_239
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_239])]) ).

fof(f1163,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) )
    | ~ spl1_4
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f157]) ).

fof(f4363,plain,
    ( spl1_238
    | ~ spl1_3
    | ~ spl1_88 ),
    inference(avatar_split_clause,[],[f1162,f1097,f150,f4361]) ).

fof(f4361,plain,
    ( spl1_238
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_238])]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) )
    | ~ spl1_3
    | ~ spl1_88 ),
    inference(resolution,[],[f1098,f152]) ).

fof(f4359,plain,
    ( spl1_237
    | ~ spl1_4
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1155,f1093,f155,f4357]) ).

fof(f4357,plain,
    ( spl1_237
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_237])]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f157]) ).

fof(f4355,plain,
    ( spl1_236
    | ~ spl1_3
    | ~ spl1_87 ),
    inference(avatar_split_clause,[],[f1154,f1093,f150,f4353]) ).

fof(f4353,plain,
    ( spl1_236
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_236])]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_87 ),
    inference(resolution,[],[f1094,f152]) ).

fof(f4351,plain,
    ( spl1_235
    | ~ spl1_4
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1147,f1089,f155,f4349]) ).

fof(f4349,plain,
    ( spl1_235
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_235])]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) )
    | ~ spl1_4
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f157]) ).

fof(f4347,plain,
    ( spl1_234
    | ~ spl1_3
    | ~ spl1_86 ),
    inference(avatar_split_clause,[],[f1146,f1089,f150,f4345]) ).

fof(f4345,plain,
    ( spl1_234
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_234])]) ).

fof(f1146,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) )
    | ~ spl1_3
    | ~ spl1_86 ),
    inference(resolution,[],[f1090,f152]) ).

fof(f4343,plain,
    ( spl1_233
    | ~ spl1_4
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1139,f1085,f155,f4341]) ).

fof(f4341,plain,
    ( spl1_233
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_233])]) ).

fof(f1139,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f157]) ).

fof(f4339,plain,
    ( spl1_232
    | ~ spl1_3
    | ~ spl1_85 ),
    inference(avatar_split_clause,[],[f1138,f1085,f150,f4337]) ).

fof(f4337,plain,
    ( spl1_232
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_232])]) ).

fof(f1138,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_85 ),
    inference(resolution,[],[f1086,f152]) ).

fof(f4329,plain,
    ( spl1_231
    | ~ spl1_103
    | ~ spl1_201 ),
    inference(avatar_split_clause,[],[f3907,f3814,f1343,f4326]) ).

fof(f4326,plain,
    ( spl1_231
  <=> sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xm)),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_231])]) ).

fof(f3814,plain,
    ( spl1_201
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_201])]) ).

fof(f3907,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_201 ),
    inference(resolution,[],[f3815,f1344]) ).

fof(f3815,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
    | ~ spl1_201 ),
    inference(avatar_component_clause,[],[f3814]) ).

fof(f4324,plain,
    ( spl1_7
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_230
    | ~ spl1_62
    | ~ spl1_138 ),
    inference(avatar_split_clause,[],[f2039,f2000,f717,f4321,f165,f160,f170]) ).

fof(f4321,plain,
    ( spl1_230
  <=> sdtlseqdt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_230])]) ).

fof(f2000,plain,
    ( spl1_138
  <=> ! [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,[spl1_138])]) ).

fof(f2039,plain,
    ( ~ sdtlseqdt0(sz10,sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sz10
    | ~ spl1_62
    | ~ spl1_138 ),
    inference(duplicate_literal_removal,[],[f2032]) ).

fof(f2032,plain,
    ( ~ sdtlseqdt0(sz10,sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sz10
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_62
    | ~ spl1_138 ),
    inference(superposition,[],[f2001,f719]) ).

fof(f2001,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(sdtpldt0(X1,X0),X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = X1
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_138 ),
    inference(avatar_component_clause,[],[f2000]) ).

fof(f4191,plain,
    ( ~ spl1_6
    | spl1_229
    | ~ spl1_19
    | ~ spl1_84 ),
    inference(avatar_split_clause,[],[f1078,f1069,f257,f4189,f165]) ).

fof(f4189,plain,
    ( spl1_229
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlseqdt0(sz10,X0)
        | sdtlseqdt0(X0,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_229])]) ).

fof(f1078,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm)
        | sdtlseqdt0(sz10,X0)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl1_19
    | ~ spl1_84 ),
    inference(duplicate_literal_removal,[],[f1073]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X0,xm)
        | sdtlseqdt0(sz10,X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_19
    | ~ spl1_84 ),
    inference(resolution,[],[f1070,f258]) ).

fof(f4101,plain,
    ( spl1_228
    | ~ spl1_103
    | ~ spl1_200 ),
    inference(avatar_split_clause,[],[f3896,f3810,f1343,f4098]) ).

fof(f3896,plain,
    ( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),sz00)
    | ~ spl1_103
    | ~ spl1_200 ),
    inference(resolution,[],[f3811,f1344]) ).

fof(f4027,plain,
    ( ~ spl1_5
    | spl1_227
    | ~ spl1_6
    | ~ spl1_61
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1511,f1427,f712,f165,f4024,f160]) ).

fof(f4024,plain,
    ( spl1_227
  <=> sz00 = sdtmndt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_227])]) ).

fof(f1511,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz00 = sdtmndt0(sz10,sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_61
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1498]) ).

fof(f1498,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz00 = sdtmndt0(sz10,sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_61
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f714]) ).

fof(f4021,plain,
    ( ~ spl1_5
    | spl1_226
    | ~ spl1_6
    | ~ spl1_62
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1508,f1427,f717,f165,f4018,f160]) ).

fof(f4018,plain,
    ( spl1_226
  <=> sz10 = sdtmndt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_226])]) ).

fof(f1508,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtmndt0(sz10,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_62
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1501]) ).

fof(f1501,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtmndt0(sz10,sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_62
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f719]) ).

fof(f4016,plain,
    ( spl1_225
    | ~ spl1_8
    | ~ spl1_99 ),
    inference(avatar_split_clause,[],[f1293,f1215,f175,f4014]) ).

fof(f1293,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_99 ),
    inference(duplicate_literal_removal,[],[f1277]) ).

fof(f1277,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_99 ),
    inference(resolution,[],[f1216,f176]) ).

fof(f4012,plain,
    ( spl1_224
    | ~ spl1_103
    | ~ spl1_199 ),
    inference(avatar_split_clause,[],[f3886,f3806,f1343,f4009]) ).

fof(f4009,plain,
    ( spl1_224
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_224])]) ).

fof(f3886,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_199 ),
    inference(resolution,[],[f3807,f1344]) ).

fof(f4007,plain,
    ( spl1_223
    | ~ spl1_8
    | ~ spl1_98 ),
    inference(avatar_split_clause,[],[f1276,f1211,f175,f4005]) ).

fof(f1276,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
    | ~ spl1_8
    | ~ spl1_98 ),
    inference(duplicate_literal_removal,[],[f1260]) ).

fof(f1260,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_98 ),
    inference(resolution,[],[f1212,f176]) ).

fof(f4003,plain,
    ( spl1_222
    | ~ spl1_8
    | ~ spl1_96 ),
    inference(avatar_split_clause,[],[f1259,f1202,f175,f4001]) ).

fof(f1259,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X0)) )
    | ~ spl1_8
    | ~ spl1_96 ),
    inference(duplicate_literal_removal,[],[f1243]) ).

fof(f1243,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_96 ),
    inference(resolution,[],[f1203,f176]) ).

fof(f3999,plain,
    ( spl1_221
    | ~ spl1_8
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f1242,f1198,f175,f3997]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X0),sz00) )
    | ~ spl1_8
    | ~ spl1_95 ),
    inference(duplicate_literal_removal,[],[f1226]) ).

fof(f1226,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_95 ),
    inference(resolution,[],[f1199,f176]) ).

fof(f3995,plain,
    ( spl1_220
    | ~ spl1_6
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1061,f1033,f165,f3993]) ).

fof(f3993,plain,
    ( spl1_220
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_220])]) ).

fof(f1061,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
    | ~ spl1_6
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f167]) ).

fof(f3991,plain,
    ( spl1_219
    | ~ spl1_5
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1060,f1033,f160,f3989]) ).

fof(f3989,plain,
    ( spl1_219
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_219])]) ).

fof(f1060,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
    | ~ spl1_5
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f162]) ).

fof(f3987,plain,
    ( spl1_218
    | ~ spl1_6
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1053,f1029,f165,f3985]) ).

fof(f3985,plain,
    ( spl1_218
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_218])]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f167]) ).

fof(f3983,plain,
    ( spl1_217
    | ~ spl1_5
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1052,f1029,f160,f3981]) ).

fof(f3981,plain,
    ( spl1_217
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_217])]) ).

fof(f1052,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f162]) ).

fof(f3979,plain,
    ( spl1_216
    | ~ spl1_6
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1045,f1025,f165,f3977]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
    | ~ spl1_6
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f167]) ).

fof(f3975,plain,
    ( spl1_215
    | ~ spl1_5
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1044,f1025,f160,f3973]) ).

fof(f3973,plain,
    ( spl1_215
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_215])]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
    | ~ spl1_5
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f162]) ).

fof(f3971,plain,
    ( spl1_214
    | ~ spl1_6
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1037,f1021,f165,f3969]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
    | ~ spl1_6
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f167]) ).

fof(f3967,plain,
    ( spl1_213
    | ~ spl1_103
    | ~ spl1_198 ),
    inference(avatar_split_clause,[],[f3875,f3802,f1343,f3964]) ).

fof(f3875,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xm)))
    | ~ spl1_103
    | ~ spl1_198 ),
    inference(resolution,[],[f3803,f1344]) ).

fof(f3962,plain,
    ( spl1_212
    | ~ spl1_5
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1036,f1021,f160,f3960]) ).

fof(f3960,plain,
    ( spl1_212
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_212])]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
    | ~ spl1_5
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f162]) ).

fof(f3867,plain,
    ( spl1_211
    | ~ spl1_67
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1604,f1343,f838,f3864]) ).

fof(f1604,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_67
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f839]) ).

fof(f3862,plain,
    ( ~ spl1_5
    | spl1_210
    | ~ spl1_3
    | ~ spl1_44
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1510,f1427,f456,f150,f3859,f160]) ).

fof(f3859,plain,
    ( spl1_210
  <=> sz00 = sdtmndt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_210])]) ).

fof(f1510,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = sdtmndt0(xm,xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_44
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1499]) ).

fof(f1499,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = sdtmndt0(xm,xm)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl1_44
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f458]) ).

fof(f3854,plain,
    ( ~ spl1_5
    | spl1_209
    | ~ spl1_4
    | ~ spl1_48
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1509,f1427,f509,f155,f3851,f160]) ).

fof(f1509,plain,
    ( ~ aNaturalNumber0(xn)
    | sz00 = sdtmndt0(xn,xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_48
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1500]) ).

fof(f1500,plain,
    ( ~ aNaturalNumber0(xn)
    | sz00 = sdtmndt0(xn,xn)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_48
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f511]) ).

fof(f3848,plain,
    ( ~ spl1_5
    | spl1_208
    | ~ spl1_3
    | ~ spl1_51
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1507,f1427,f530,f150,f3845,f160]) ).

fof(f3845,plain,
    ( spl1_208
  <=> xm = sdtmndt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_208])]) ).

fof(f1507,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtmndt0(xm,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_51
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1503]) ).

fof(f1503,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtmndt0(xm,sz00)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_51
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f532]) ).

fof(f3842,plain,
    ( ~ spl1_5
    | spl1_207
    | ~ spl1_4
    | ~ spl1_52
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1506,f1427,f535,f155,f3839,f160]) ).

fof(f3839,plain,
    ( spl1_207
  <=> xn = sdtmndt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_207])]) ).

fof(f1506,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtmndt0(xn,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_52
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1504]) ).

fof(f1504,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtmndt0(xn,sz00)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_52
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f537]) ).

fof(f3837,plain,
    ( spl1_206
    | ~ spl1_4
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1066,f1033,f155,f3835]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
    | ~ spl1_4
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f157]) ).

fof(f3833,plain,
    ( spl1_205
    | ~ spl1_3
    | ~ spl1_83 ),
    inference(avatar_split_clause,[],[f1065,f1033,f150,f3831]) ).

fof(f1065,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
    | ~ spl1_3
    | ~ spl1_83 ),
    inference(resolution,[],[f1034,f152]) ).

fof(f3829,plain,
    ( spl1_204
    | ~ spl1_4
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1058,f1029,f155,f3827]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f157]) ).

fof(f3825,plain,
    ( spl1_203
    | ~ spl1_66
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1603,f1343,f834,f3822]) ).

fof(f1603,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm))
    | ~ spl1_66
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f835]) ).

fof(f3820,plain,
    ( spl1_202
    | ~ spl1_3
    | ~ spl1_82 ),
    inference(avatar_split_clause,[],[f1057,f1029,f150,f3818]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_82 ),
    inference(resolution,[],[f1030,f152]) ).

fof(f3816,plain,
    ( spl1_201
    | ~ spl1_4
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1050,f1025,f155,f3814]) ).

fof(f1050,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
    | ~ spl1_4
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f157]) ).

fof(f3812,plain,
    ( spl1_200
    | ~ spl1_3
    | ~ spl1_81 ),
    inference(avatar_split_clause,[],[f1049,f1025,f150,f3810]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
    | ~ spl1_3
    | ~ spl1_81 ),
    inference(resolution,[],[f1026,f152]) ).

fof(f3808,plain,
    ( spl1_199
    | ~ spl1_4
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1042,f1021,f155,f3806]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
    | ~ spl1_4
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f157]) ).

fof(f3804,plain,
    ( spl1_198
    | ~ spl1_3
    | ~ spl1_80 ),
    inference(avatar_split_clause,[],[f1041,f1021,f150,f3802]) ).

fof(f1041,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
    | ~ spl1_3
    | ~ spl1_80 ),
    inference(resolution,[],[f1022,f152]) ).

fof(f3668,plain,
    ( spl1_197
    | ~ spl1_65
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1602,f1343,f830,f3665]) ).

fof(f3665,plain,
    ( spl1_197
  <=> sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_197])]) ).

fof(f1602,plain,
    ( sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm))
    | ~ spl1_65
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f831]) ).

fof(f3663,plain,
    ( spl1_196
    | ~ spl1_5
    | ~ spl1_60
    | ~ spl1_113 ),
    inference(avatar_split_clause,[],[f1512,f1427,f707,f160,f3660]) ).

fof(f3660,plain,
    ( spl1_196
  <=> sz00 = sdtmndt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_196])]) ).

fof(f1512,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtmndt0(sz00,sz00)
    | ~ spl1_60
    | ~ spl1_113 ),
    inference(duplicate_literal_removal,[],[f1497]) ).

fof(f1497,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtmndt0(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_60
    | ~ spl1_113 ),
    inference(superposition,[],[f1428,f709]) ).

fof(f3658,plain,
    ( spl1_195
    | ~ spl1_6
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f963,f905,f165,f3655]) ).

fof(f3655,plain,
    ( spl1_195
  <=> sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_195])]) ).

fof(f963,plain,
    ( sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10))
    | ~ spl1_6
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f167]) ).

fof(f3653,plain,
    ( spl1_194
    | ~ spl1_5
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f962,f905,f160,f3650]) ).

fof(f3650,plain,
    ( spl1_194
  <=> sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_194])]) ).

fof(f962,plain,
    ( sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00))
    | ~ spl1_5
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f162]) ).

fof(f3648,plain,
    ( spl1_193
    | ~ spl1_6
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f955,f901,f165,f3645]) ).

fof(f3645,plain,
    ( spl1_193
  <=> sz10 = sdtpldt0(sz10,sK0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_193])]) ).

fof(f955,plain,
    ( sz10 = sdtpldt0(sz10,sK0(sz10,sz10))
    | ~ spl1_6
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f167]) ).

fof(f3643,plain,
    ( spl1_192
    | ~ spl1_5
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f954,f901,f160,f3640]) ).

fof(f3640,plain,
    ( spl1_192
  <=> sz00 = sdtpldt0(sz00,sK0(sz00,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_192])]) ).

fof(f954,plain,
    ( sz00 = sdtpldt0(sz00,sK0(sz00,sz00))
    | ~ spl1_5
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f162]) ).

fof(f3606,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_191
    | ~ spl1_29
    | ~ spl1_62 ),
    inference(avatar_split_clause,[],[f804,f717,f330,f3603,f165,f160]) ).

fof(f3603,plain,
    ( spl1_191
  <=> sdtlseqdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_191])]) ).

fof(f804,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_62 ),
    inference(duplicate_literal_removal,[],[f795]) ).

fof(f795,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_62 ),
    inference(superposition,[],[f331,f719]) ).

fof(f3515,plain,
    ( spl1_190
    | ~ spl1_64
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1601,f1343,f826,f3512]) ).

fof(f3512,plain,
    ( spl1_190
  <=> sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_190])]) ).

fof(f1601,plain,
    ( sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm))
    | ~ spl1_64
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f827]) ).

fof(f3406,plain,
    ( spl1_189
    | ~ spl1_4
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f968,f905,f155,f3403]) ).

fof(f3403,plain,
    ( spl1_189
  <=> xn = sdtpldt0(xn,sdtmndt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_189])]) ).

fof(f968,plain,
    ( xn = sdtpldt0(xn,sdtmndt0(xn,xn))
    | ~ spl1_4
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f157]) ).

fof(f3401,plain,
    ( spl1_188
    | ~ spl1_3
    | ~ spl1_74 ),
    inference(avatar_split_clause,[],[f967,f905,f150,f3398]) ).

fof(f3398,plain,
    ( spl1_188
  <=> xm = sdtpldt0(xm,sdtmndt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_188])]) ).

fof(f967,plain,
    ( xm = sdtpldt0(xm,sdtmndt0(xm,xm))
    | ~ spl1_3
    | ~ spl1_74 ),
    inference(resolution,[],[f906,f152]) ).

fof(f3396,plain,
    ( spl1_187
    | ~ spl1_4
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f960,f901,f155,f3393]) ).

fof(f960,plain,
    ( xn = sdtpldt0(xn,sK0(xn,xn))
    | ~ spl1_4
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f157]) ).

fof(f3391,plain,
    ( spl1_186
    | ~ spl1_3
    | ~ spl1_73 ),
    inference(avatar_split_clause,[],[f959,f901,f150,f3388]) ).

fof(f3388,plain,
    ( spl1_186
  <=> xm = sdtpldt0(xm,sK0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_186])]) ).

fof(f959,plain,
    ( xm = sdtpldt0(xm,sK0(xm,xm))
    | ~ spl1_3
    | ~ spl1_73 ),
    inference(resolution,[],[f902,f152]) ).

fof(f3386,plain,
    ( spl1_185
    | ~ spl1_4
    | ~ spl1_66 ),
    inference(avatar_split_clause,[],[f865,f834,f155,f3383]) ).

fof(f3359,plain,
    ( spl1_184
    | ~ spl1_6
    | ~ spl1_65 ),
    inference(avatar_split_clause,[],[f851,f830,f165,f3356]) ).

fof(f3332,plain,
    ( spl1_183
    | ~ spl1_103
    | ~ spl1_4
    | spl1_2
    | ~ spl1_101 ),
    inference(avatar_split_clause,[],[f1316,f1223,f145,f155,f1343,f3329]) ).

fof(f3329,plain,
    ( spl1_183
  <=> xn = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xn,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_183])]) ).

fof(f1316,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | xn = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xn,sdtasdt0(xn,xm)))
    | spl1_2
    | ~ spl1_101 ),
    inference(resolution,[],[f1224,f147]) ).

fof(f3193,plain,
    ( spl1_182
    | ~ spl1_31
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f527,f518,f350,f3191]) ).

fof(f3191,plain,
    ( spl1_182
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_182])]) ).

fof(f527,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
    | ~ spl1_31
    | ~ spl1_50 ),
    inference(resolution,[],[f519,f351]) ).

fof(f3189,plain,
    ( spl1_181
    | ~ spl1_32
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f526,f518,f354,f3187]) ).

fof(f3187,plain,
    ( spl1_181
  <=> ! [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,[spl1_181])]) ).

fof(f526,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)) )
    | ~ spl1_32
    | ~ spl1_50 ),
    inference(resolution,[],[f519,f355]) ).

fof(f3163,plain,
    ( spl1_180
    | ~ spl1_31
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f523,f514,f350,f3161]) ).

fof(f3161,plain,
    ( spl1_180
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_180])]) ).

fof(f523,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
    | ~ spl1_31
    | ~ spl1_49 ),
    inference(resolution,[],[f515,f351]) ).

fof(f3159,plain,
    ( spl1_179
    | ~ spl1_32
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f522,f514,f354,f3157]) ).

fof(f3157,plain,
    ( spl1_179
  <=> ! [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,[spl1_179])]) ).

fof(f522,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)) )
    | ~ spl1_32
    | ~ spl1_49 ),
    inference(resolution,[],[f515,f355]) ).

fof(f3035,plain,
    ( spl1_178
    | ~ spl1_28
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f528,f518,f326,f3033]) ).

fof(f3033,plain,
    ( spl1_178
  <=> ! [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,[spl1_178])]) ).

fof(f528,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)) )
    | ~ spl1_28
    | ~ spl1_50 ),
    inference(resolution,[],[f519,f327]) ).

fof(f3031,plain,
    ( spl1_177
    | ~ spl1_28
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f524,f514,f326,f3029]) ).

fof(f3029,plain,
    ( spl1_177
  <=> ! [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,[spl1_177])]) ).

fof(f524,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)) )
    | ~ spl1_28
    | ~ spl1_49 ),
    inference(resolution,[],[f515,f327]) ).

fof(f2836,plain,
    ( spl1_176
    | ~ spl1_34
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f525,f518,f384,f2834]) ).

fof(f2834,plain,
    ( spl1_176
  <=> ! [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,[spl1_176])]) ).

fof(f525,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) )
    | ~ spl1_34
    | ~ spl1_50 ),
    inference(resolution,[],[f519,f385]) ).

fof(f2832,plain,
    ( spl1_175
    | ~ spl1_34
    | ~ spl1_49 ),
    inference(avatar_split_clause,[],[f521,f514,f384,f2830]) ).

fof(f2830,plain,
    ( spl1_175
  <=> ! [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,[spl1_175])]) ).

fof(f521,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) )
    | ~ spl1_34
    | ~ spl1_49 ),
    inference(resolution,[],[f515,f385]) ).

fof(f2828,plain,
    ( spl1_174
    | ~ spl1_31
    | ~ spl1_43 ),
    inference(avatar_split_clause,[],[f478,f452,f350,f2826]) ).

fof(f2826,plain,
    ( spl1_174
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK0(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_174])]) ).

fof(f478,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK0(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
    | ~ spl1_31
    | ~ spl1_43 ),
    inference(resolution,[],[f453,f351]) ).

fof(f2824,plain,
    ( spl1_173
    | ~ spl1_32
    | ~ spl1_43 ),
    inference(avatar_split_clause,[],[f477,f452,f354,f2822]) ).

fof(f2822,plain,
    ( spl1_173
  <=> ! [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,[spl1_173])]) ).

fof(f477,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)) )
    | ~ spl1_32
    | ~ spl1_43 ),
    inference(resolution,[],[f453,f355]) ).

fof(f2820,plain,
    ( spl1_172
    | ~ spl1_31
    | ~ spl1_42 ),
    inference(avatar_split_clause,[],[f474,f448,f350,f2818]) ).

fof(f2818,plain,
    ( spl1_172
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_172])]) ).

fof(f474,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
    | ~ spl1_31
    | ~ spl1_42 ),
    inference(resolution,[],[f449,f351]) ).

fof(f2816,plain,
    ( spl1_171
    | ~ spl1_32
    | ~ spl1_42 ),
    inference(avatar_split_clause,[],[f473,f448,f354,f2814]) ).

fof(f2814,plain,
    ( spl1_171
  <=> ! [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,[spl1_171])]) ).

fof(f473,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)) )
    | ~ spl1_32
    | ~ spl1_42 ),
    inference(resolution,[],[f449,f355]) ).

fof(f2686,plain,
    ( spl1_170
    | ~ spl1_28
    | ~ spl1_43 ),
    inference(avatar_split_clause,[],[f479,f452,f326,f2684]) ).

fof(f2684,plain,
    ( spl1_170
  <=> ! [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,[spl1_170])]) ).

fof(f479,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)) )
    | ~ spl1_28
    | ~ spl1_43 ),
    inference(resolution,[],[f453,f327]) ).

fof(f2682,plain,
    ( spl1_169
    | ~ spl1_28
    | ~ spl1_42 ),
    inference(avatar_split_clause,[],[f475,f448,f326,f2680]) ).

fof(f2680,plain,
    ( spl1_169
  <=> ! [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,[spl1_169])]) ).

fof(f475,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)) )
    | ~ spl1_28
    | ~ spl1_42 ),
    inference(resolution,[],[f449,f327]) ).

fof(f2606,plain,
    ( spl1_168
    | ~ spl1_34
    | ~ spl1_43 ),
    inference(avatar_split_clause,[],[f476,f452,f384,f2604]) ).

fof(f2604,plain,
    ( spl1_168
  <=> ! [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,[spl1_168])]) ).

fof(f476,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) )
    | ~ spl1_34
    | ~ spl1_43 ),
    inference(resolution,[],[f453,f385]) ).

fof(f2602,plain,
    ( spl1_167
    | ~ spl1_34
    | ~ spl1_42 ),
    inference(avatar_split_clause,[],[f472,f448,f384,f2600]) ).

fof(f2600,plain,
    ( spl1_167
  <=> ! [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,[spl1_167])]) ).

fof(f472,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) )
    | ~ spl1_34
    | ~ spl1_42 ),
    inference(resolution,[],[f449,f385]) ).

fof(f2506,plain,
    ( spl1_166
    | ~ spl1_15
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1594,f1343,f204,f2503]) ).

fof(f2503,plain,
    ( spl1_166
  <=> sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_166])]) ).

fof(f204,plain,
    ( spl1_15
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

fof(f1594,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm))
    | ~ spl1_15
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f205]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = X0 )
    | ~ spl1_15 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f2501,plain,
    ( spl1_165
    | ~ spl1_23
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f495,f465,f277,f2499]) ).

fof(f2499,plain,
    ( spl1_165
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_165])]) ).

fof(f465,plain,
    ( spl1_46
  <=> ! [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,[spl1_46])]) ).

fof(f495,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK0(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_23
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f278]) ).

fof(f466,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_46 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f2497,plain,
    ( spl1_164
    | ~ spl1_24
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f492,f465,f281,f2495]) ).

fof(f2495,plain,
    ( spl1_164
  <=> ! [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,[spl1_164])]) ).

fof(f492,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) )
    | ~ spl1_24
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f282]) ).

fof(f2493,plain,
    ( spl1_163
    | ~ spl1_23
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f487,f461,f277,f2491]) ).

fof(f2491,plain,
    ( spl1_163
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_163])]) ).

fof(f461,plain,
    ( spl1_45
  <=> ! [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,[spl1_45])]) ).

fof(f487,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_23
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f278]) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_45 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2489,plain,
    ( spl1_162
    | ~ spl1_24
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f484,f461,f281,f2487]) ).

fof(f2487,plain,
    ( spl1_162
  <=> ! [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,[spl1_162])]) ).

fof(f484,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) )
    | ~ spl1_24
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f282]) ).

fof(f2393,plain,
    ( spl1_161
    | ~ spl1_23
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f438,f420,f277,f2391]) ).

fof(f420,plain,
    ( spl1_39
  <=> ! [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,[spl1_39])]) ).

fof(f438,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_23
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f278]) ).

fof(f421,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_39 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f2389,plain,
    ( spl1_160
    | ~ spl1_24
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f435,f420,f281,f2387]) ).

fof(f435,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) )
    | ~ spl1_24
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f282]) ).

fof(f2385,plain,
    ( spl1_159
    | ~ spl1_14
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1593,f1343,f200,f2382]) ).

fof(f2382,plain,
    ( spl1_159
  <=> sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_159])]) ).

fof(f200,plain,
    ( spl1_14
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f1593,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10)
    | ~ spl1_14
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f201]) ).

fof(f201,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = X0 )
    | ~ spl1_14 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f2380,plain,
    ( spl1_158
    | ~ spl1_23
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f430,f416,f277,f2378]) ).

fof(f416,plain,
    ( spl1_38
  <=> ! [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,[spl1_38])]) ).

fof(f430,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK0(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_23
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f278]) ).

fof(f417,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_38 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f2376,plain,
    ( spl1_157
    | ~ spl1_24
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f427,f416,f281,f2374]) ).

fof(f427,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) )
    | ~ spl1_24
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f282]) ).

fof(f2336,plain,
    ( spl1_156
    | ~ spl1_17
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f491,f465,f236,f2334]) ).

fof(f491,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) )
    | ~ spl1_17
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f237]) ).

fof(f2332,plain,
    ( spl1_155
    | ~ spl1_16
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f490,f465,f232,f2330]) ).

fof(f490,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) )
    | ~ spl1_16
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f233]) ).

fof(f2328,plain,
    ( spl1_154
    | ~ spl1_17
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f483,f461,f236,f2326]) ).

fof(f483,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) )
    | ~ spl1_17
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f237]) ).

fof(f2324,plain,
    ( spl1_153
    | ~ spl1_16
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f482,f461,f232,f2322]) ).

fof(f482,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) )
    | ~ spl1_16
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f233]) ).

fof(f2320,plain,
    ( spl1_152
    | ~ spl1_13
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1592,f1343,f196,f2317]) ).

fof(f196,plain,
    ( spl1_13
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f1592,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_13
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f197]) ).

fof(f197,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = X0 )
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f2279,plain,
    ( spl1_151
    | ~ spl1_17
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f434,f420,f236,f2277]) ).

fof(f434,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) )
    | ~ spl1_17
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f237]) ).

fof(f2275,plain,
    ( spl1_150
    | ~ spl1_16
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f433,f420,f232,f2273]) ).

fof(f433,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) )
    | ~ spl1_16
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f233]) ).

fof(f2271,plain,
    ( spl1_149
    | ~ spl1_17
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f426,f416,f236,f2269]) ).

fof(f426,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) )
    | ~ spl1_17
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f237]) ).

fof(f2267,plain,
    ( spl1_148
    | ~ spl1_16
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f425,f416,f232,f2265]) ).

fof(f425,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) )
    | ~ spl1_16
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f233]) ).

fof(f2217,plain,
    ( spl1_147
    | ~ spl1_12
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1591,f1343,f192,f2214]) ).

fof(f2214,plain,
    ( spl1_147
  <=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_147])]) ).

fof(f192,plain,
    ( spl1_12
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f1591,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00)
    | ~ spl1_12
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f193]) ).

fof(f193,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = X0 )
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f2166,plain,
    ( spl1_146
    | ~ spl1_22
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f316,f281,f273,f2164]) ).

fof(f273,plain,
    ( spl1_22
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f316,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_22
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f274]) ).

fof(f274,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_22 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f2162,plain,
    ( spl1_145
    | ~ spl1_21
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f315,f281,f269,f2160]) ).

fof(f269,plain,
    ( spl1_21
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).

fof(f315,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_21
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f270]) ).

fof(f270,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_21 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f2158,plain,
    ( spl1_144
    | ~ spl1_22
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f308,f277,f273,f2156]) ).

fof(f308,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK0(X0,X1)) = sdtasdt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_22
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f274]) ).

fof(f2154,plain,
    ( spl1_143
    | ~ spl1_21
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f307,f277,f269,f2152]) ).

fof(f307,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK0(X0,X1)) = sdtpldt0(sK0(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_21
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f270]) ).

fof(f2114,plain,
    ( spl1_142
    | ~ spl1_29
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f375,f354,f330,f2112]) ).

fof(f375,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_32 ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,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) )
    | ~ spl1_29
    | ~ spl1_32 ),
    inference(resolution,[],[f355,f331]) ).

fof(f2110,plain,
    ( spl1_141
    | ~ spl1_29
    | ~ spl1_31 ),
    inference(avatar_split_clause,[],[f364,f350,f330,f2108]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_31 ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f360,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_29
    | ~ spl1_31 ),
    inference(resolution,[],[f351,f331]) ).

fof(f2022,plain,
    ( spl1_140
    | ~ spl1_29
    | ~ spl1_34 ),
    inference(avatar_split_clause,[],[f394,f384,f330,f2020]) ).

fof(f394,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X1,X2))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_29
    | ~ spl1_34 ),
    inference(duplicate_literal_removal,[],[f390]) ).

fof(f390,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) )
    | ~ spl1_29
    | ~ spl1_34 ),
    inference(resolution,[],[f385,f331]) ).

fof(f2006,plain,
    ( ~ spl1_6
    | spl1_139
    | ~ spl1_20
    | ~ spl1_34 ),
    inference(avatar_split_clause,[],[f393,f384,f265,f2004,f165]) ).

fof(f393,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl1_20
    | ~ spl1_34 ),
    inference(duplicate_literal_removal,[],[f392]) ).

fof(f392,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_20
    | ~ spl1_34 ),
    inference(resolution,[],[f385,f266]) ).

fof(f2002,plain,
    ( spl1_138
    | ~ spl1_28
    | ~ spl1_29 ),
    inference(avatar_split_clause,[],[f343,f330,f326,f2000]) ).

fof(f343,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = X1
        | ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
    | ~ spl1_28
    | ~ spl1_29 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f342,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)) )
    | ~ spl1_28
    | ~ spl1_29 ),
    inference(resolution,[],[f331,f327]) ).

fof(f1899,plain,
    ( spl1_137
    | ~ spl1_6
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f489,f465,f165,f1897]) ).

fof(f489,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_6
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f167]) ).

fof(f1895,plain,
    ( spl1_136
    | ~ spl1_5
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f488,f465,f160,f1893]) ).

fof(f488,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_5
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f162]) ).

fof(f1891,plain,
    ( spl1_135
    | ~ spl1_6
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f481,f461,f165,f1889]) ).

fof(f481,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f167]) ).

fof(f1887,plain,
    ( spl1_134
    | ~ spl1_5
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f480,f461,f160,f1885]) ).

fof(f480,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f162]) ).

fof(f1874,plain,
    ( ~ spl1_6
    | spl1_133
    | ~ spl1_20
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f374,f354,f265,f1872,f165]) ).

fof(f374,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_32 ),
    inference(duplicate_literal_removal,[],[f373]) ).

fof(f373,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_32 ),
    inference(resolution,[],[f355,f266]) ).

fof(f1870,plain,
    ( spl1_132
    | ~ spl1_11
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1590,f1343,f188,f1867]) ).

fof(f1867,plain,
    ( spl1_132
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_132])]) ).

fof(f188,plain,
    ( spl1_11
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f1590,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm))
    | ~ spl1_11
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f189]) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,X0) )
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f1856,plain,
    ( ~ spl1_6
    | spl1_131
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(avatar_split_clause,[],[f363,f350,f265,f1854,f165]) ).

fof(f363,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sK0(sz10,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f362,plain,
    ( ! [X0] :
        ( sdtpldt0(sz10,sK0(sz10,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_31 ),
    inference(resolution,[],[f351,f266]) ).

fof(f1852,plain,
    ( spl1_130
    | ~ spl1_17
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f293,f273,f236,f1850]) ).

fof(f293,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f237]) ).

fof(f1848,plain,
    ( spl1_129
    | ~ spl1_16
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f292,f273,f232,f1846]) ).

fof(f292,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f233]) ).

fof(f1844,plain,
    ( spl1_128
    | ~ spl1_17
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f287,f269,f236,f1842]) ).

fof(f287,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_17
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f237]) ).

fof(f1840,plain,
    ( spl1_127
    | ~ spl1_16
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f286,f269,f232,f1838]) ).

fof(f286,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_16
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f233]) ).

fof(f1788,plain,
    ( spl1_126
    | ~ spl1_10
    | ~ spl1_103 ),
    inference(avatar_split_clause,[],[f1589,f1343,f184,f1785]) ).

fof(f184,plain,
    ( spl1_10
  <=> ! [X0] :
        ( sz00 = sdtasdt0(X0,sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f1589,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00)
    | ~ spl1_10
    | ~ spl1_103 ),
    inference(resolution,[],[f1344,f185]) ).

fof(f185,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(X0,sz00) )
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f1783,plain,
    ( spl1_125
    | ~ spl1_4
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f494,f465,f155,f1781]) ).

fof(f494,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_4
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f157]) ).

fof(f1779,plain,
    ( spl1_124
    | ~ spl1_3
    | ~ spl1_46 ),
    inference(avatar_split_clause,[],[f493,f465,f150,f1777]) ).

fof(f493,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_3
    | ~ spl1_46 ),
    inference(resolution,[],[f466,f152]) ).

fof(f1775,plain,
    ( spl1_123
    | ~ spl1_4
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f486,f461,f155,f1773]) ).

fof(f486,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f157]) ).

fof(f1771,plain,
    ( spl1_122
    | ~ spl1_3
    | ~ spl1_45 ),
    inference(avatar_split_clause,[],[f485,f461,f150,f1769]) ).

fof(f485,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_45 ),
    inference(resolution,[],[f462,f152]) ).

fof(f1546,plain,
    ( spl1_121
    | ~ spl1_15
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f314,f281,f204,f1544]) ).

fof(f314,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
    | ~ spl1_15
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f205]) ).

fof(f1542,plain,
    ( spl1_120
    | ~ spl1_14
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f313,f281,f200,f1540]) ).

fof(f313,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
    | ~ spl1_14
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f201]) ).

fof(f1538,plain,
    ( spl1_119
    | ~ spl1_13
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f312,f281,f196,f1536]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_13
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f197]) ).

fof(f1534,plain,
    ( spl1_118
    | ~ spl1_12
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f311,f281,f192,f1532]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_12
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f193]) ).

fof(f1530,plain,
    ( spl1_117
    | ~ spl1_15
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f306,f277,f204,f1528]) ).

fof(f306,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sz10,sK0(X0,X1)) )
    | ~ spl1_15
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f205]) ).

fof(f1526,plain,
    ( spl1_116
    | ~ spl1_14
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f305,f277,f200,f1524]) ).

fof(f305,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtasdt0(sK0(X0,X1),sz10) )
    | ~ spl1_14
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f201]) ).

fof(f1522,plain,
    ( spl1_115
    | ~ spl1_13
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f304,f277,f196,f1520]) ).

fof(f304,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sz00,sK0(X0,X1)) )
    | ~ spl1_13
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f197]) ).

fof(f1518,plain,
    ( spl1_114
    | ~ spl1_12
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f303,f277,f192,f1516]) ).

fof(f303,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) )
    | ~ spl1_12
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f193]) ).

fof(f1514,plain,
    ( ~ spl1_4
    | ~ spl1_3
    | ~ spl1_17
    | spl1_103 ),
    inference(avatar_split_clause,[],[f1413,f1343,f236,f150,f155]) ).

fof(f1413,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl1_17
    | spl1_103 ),
    inference(resolution,[],[f1345,f237]) ).

fof(f1345,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl1_103 ),
    inference(avatar_component_clause,[],[f1343]) ).

fof(f1429,plain,
    ( spl1_113
    | ~ spl1_29
    | ~ spl1_47 ),
    inference(avatar_split_clause,[],[f507,f497,f330,f1427]) ).

fof(f497,plain,
    ( spl1_47
  <=> ! [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,[spl1_47])]) ).

fof(f507,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl1_29
    | ~ spl1_47 ),
    inference(duplicate_literal_removal,[],[f500]) ).

fof(f500,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) )
    | ~ spl1_29
    | ~ spl1_47 ),
    inference(resolution,[],[f498,f331]) ).

fof(f498,plain,
    ( ! [X2,X0] :
        ( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | sdtmndt0(sdtpldt0(X0,X2),X0) = X2
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_47 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1425,plain,
    ( spl1_112
    | ~ spl1_6
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f432,f420,f165,f1423]) ).

fof(f432,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f167]) ).

fof(f1421,plain,
    ( spl1_111
    | ~ spl1_5
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f431,f420,f160,f1419]) ).

fof(f431,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f162]) ).

fof(f1417,plain,
    ( spl1_110
    | ~ spl1_6
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f424,f416,f165,f1415]) ).

fof(f424,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f167]) ).

fof(f1412,plain,
    ( spl1_109
    | ~ spl1_5
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f423,f416,f160,f1410]) ).

fof(f423,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f162]) ).

fof(f1408,plain,
    ( spl1_108
    | ~ spl1_19
    | ~ spl1_34 ),
    inference(avatar_split_clause,[],[f396,f384,f257,f1406]) ).

fof(f396,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2) )
    | ~ spl1_19
    | ~ spl1_34 ),
    inference(duplicate_literal_removal,[],[f388]) ).

fof(f388,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl1_19
    | ~ spl1_34 ),
    inference(resolution,[],[f385,f258]) ).

fof(f1362,plain,
    ( spl1_107
    | ~ spl1_4
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f437,f420,f155,f1360]) ).

fof(f437,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f157]) ).

fof(f1358,plain,
    ( spl1_106
    | ~ spl1_3
    | ~ spl1_39 ),
    inference(avatar_split_clause,[],[f436,f420,f150,f1356]) ).

fof(f436,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_39 ),
    inference(resolution,[],[f421,f152]) ).

fof(f1354,plain,
    ( spl1_105
    | ~ spl1_4
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f429,f416,f155,f1352]) ).

fof(f429,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f157]) ).

fof(f1350,plain,
    ( spl1_104
    | ~ spl1_3
    | ~ spl1_38 ),
    inference(avatar_split_clause,[],[f428,f416,f150,f1348]) ).

fof(f428,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_38 ),
    inference(resolution,[],[f417,f152]) ).

fof(f1346,plain,
    ( spl1_102
    | ~ spl1_103
    | ~ spl1_4
    | spl1_2
    | ~ spl1_100 ),
    inference(avatar_split_clause,[],[f1294,f1219,f145,f155,f1343,f1339]) ).

fof(f1339,plain,
    ( spl1_102
  <=> xn = sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).

fof(f1294,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | xn = sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),xn))
    | spl1_2
    | ~ spl1_100 ),
    inference(resolution,[],[f1220,f147]) ).

fof(f1225,plain,
    ( spl1_101
    | ~ spl1_19
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f377,f354,f257,f1223]) ).

fof(f377,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) )
    | ~ spl1_19
    | ~ spl1_32 ),
    inference(duplicate_literal_removal,[],[f369]) ).

fof(f369,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_19
    | ~ spl1_32 ),
    inference(resolution,[],[f355,f258]) ).

fof(f1221,plain,
    ( spl1_100
    | ~ spl1_19
    | ~ spl1_31 ),
    inference(avatar_split_clause,[],[f366,f350,f257,f1219]) ).

fof(f366,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0) )
    | ~ spl1_19
    | ~ spl1_31 ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f358,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sK0(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_19
    | ~ spl1_31 ),
    inference(resolution,[],[f351,f258]) ).

fof(f1217,plain,
    ( spl1_99
    | ~ spl1_11
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f310,f281,f188,f1215]) ).

fof(f310,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl1_11
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f189]) ).

fof(f1213,plain,
    ( spl1_98
    | ~ spl1_10
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f309,f281,f184,f1211]) ).

fof(f309,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl1_10
    | ~ spl1_24 ),
    inference(resolution,[],[f282,f185]) ).

fof(f1209,plain,
    ( spl1_97
    | ~ spl1_4
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f847,f826,f155,f1206]) ).

fof(f847,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
    | ~ spl1_4
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f157]) ).

fof(f1204,plain,
    ( spl1_96
    | ~ spl1_11
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f302,f277,f188,f1202]) ).

fof(f302,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK0(X0,X1)) )
    | ~ spl1_11
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f189]) ).

fof(f1200,plain,
    ( spl1_95
    | ~ spl1_10
    | ~ spl1_23 ),
    inference(avatar_split_clause,[],[f301,f277,f184,f1198]) ).

fof(f301,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK0(X0,X1),sz00) )
    | ~ spl1_10
    | ~ spl1_23 ),
    inference(resolution,[],[f278,f185]) ).

fof(f1132,plain,
    ( spl1_94
    | ~ spl1_6
    | ~ spl1_64 ),
    inference(avatar_split_clause,[],[f842,f826,f165,f1129]) ).

fof(f842,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
    | ~ spl1_6
    | ~ spl1_64 ),
    inference(resolution,[],[f827,f167]) ).

fof(f1119,plain,
    ( ~ spl1_6
    | spl1_93
    | ~ spl1_20
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f338,f326,f265,f1117,f165]) ).

fof(f338,plain,
    ( ! [X0] :
        ( sz10 = X0
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl1_20
    | ~ spl1_28 ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f337,plain,
    ( ! [X0] :
        ( sz10 = X0
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_20
    | ~ spl1_28 ),
    inference(resolution,[],[f327,f266]) ).

fof(f1115,plain,
    ( spl1_92
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f248,f236,f192,f1113]) ).

fof(f248,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f193]) ).

fof(f1111,plain,
    ( spl1_91
    | ~ spl1_13
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f247,f236,f196,f1109]) ).

fof(f247,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl1_13
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f197]) ).

fof(f1107,plain,
    ( spl1_90
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f246,f236,f200,f1105]) ).

fof(f246,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f201]) ).

fof(f1103,plain,
    ( spl1_89
    | ~ spl1_15
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f245,f236,f204,f1101]) ).

fof(f245,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl1_15
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f205]) ).

fof(f1099,plain,
    ( spl1_88
    | ~ spl1_12
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f242,f232,f192,f1097]) ).

fof(f242,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl1_12
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f193]) ).

fof(f1095,plain,
    ( spl1_87
    | ~ spl1_13
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f241,f232,f196,f1093]) ).

fof(f241,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl1_13
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f197]) ).

fof(f1091,plain,
    ( spl1_86
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f240,f232,f200,f1089]) ).

fof(f240,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f201]) ).

fof(f1087,plain,
    ( spl1_85
    | ~ spl1_15
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f239,f232,f204,f1085]) ).

fof(f239,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl1_15
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f205]) ).

fof(f1071,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_84
    | ~ spl1_9
    | ~ spl1_34 ),
    inference(avatar_split_clause,[],[f391,f384,f179,f1069,f150,f165]) ).

fof(f391,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,xm)
        | ~ sdtlseqdt0(X0,sz10)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_9
    | ~ spl1_34 ),
    inference(resolution,[],[f385,f181]) ).

fof(f1035,plain,
    ( spl1_83
    | ~ spl1_10
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f250,f236,f184,f1033]) ).

fof(f250,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl1_10
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f185]) ).

fof(f1031,plain,
    ( spl1_82
    | ~ spl1_11
    | ~ spl1_17 ),
    inference(avatar_split_clause,[],[f249,f236,f188,f1029]) ).

fof(f249,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl1_11
    | ~ spl1_17 ),
    inference(resolution,[],[f237,f189]) ).

fof(f1027,plain,
    ( spl1_81
    | ~ spl1_10
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f244,f232,f184,f1025]) ).

fof(f244,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl1_10
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f185]) ).

fof(f1023,plain,
    ( spl1_80
    | ~ spl1_11
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f243,f232,f188,f1021]) ).

fof(f243,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl1_11
    | ~ spl1_16 ),
    inference(resolution,[],[f233,f189]) ).

fof(f1019,plain,
    ( ~ spl1_5
    | ~ spl1_4
    | spl1_79
    | ~ spl1_29
    | ~ spl1_52 ),
    inference(avatar_split_clause,[],[f650,f535,f330,f1016,f155,f160]) ).

fof(f650,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_52 ),
    inference(duplicate_literal_removal,[],[f641]) ).

fof(f641,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_52 ),
    inference(superposition,[],[f331,f537]) ).

fof(f1002,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_78
    | ~ spl1_9
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f372,f354,f179,f999,f150,f165]) ).

fof(f372,plain,
    ( xm = sdtpldt0(sz10,sdtmndt0(xm,sz10))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_9
    | ~ spl1_32 ),
    inference(resolution,[],[f355,f181]) ).

fof(f985,plain,
    ( ~ spl1_6
    | ~ spl1_3
    | spl1_77
    | ~ spl1_9
    | ~ spl1_31 ),
    inference(avatar_split_clause,[],[f361,f350,f179,f982,f150,f165]) ).

fof(f361,plain,
    ( xm = sdtpldt0(sz10,sK0(sz10,xm))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl1_9
    | ~ spl1_31 ),
    inference(resolution,[],[f351,f181]) ).

fof(f978,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | ~ spl1_75
    | spl1_76
    | ~ spl1_9
    | ~ spl1_28 ),
    inference(avatar_split_clause,[],[f336,f326,f179,f975,f971,f165,f150]) ).

fof(f336,plain,
    ( sz10 = xm
    | ~ sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xm)
    | ~ spl1_9
    | ~ spl1_28 ),
    inference(resolution,[],[f327,f181]) ).

fof(f907,plain,
    ( spl1_74
    | ~ spl1_8
    | ~ spl1_32 ),
    inference(avatar_split_clause,[],[f378,f354,f175,f905]) ).

fof(f378,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_32 ),
    inference(duplicate_literal_removal,[],[f368]) ).

fof(f368,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_32 ),
    inference(resolution,[],[f355,f176]) ).

fof(f903,plain,
    ( spl1_73
    | ~ spl1_8
    | ~ spl1_31 ),
    inference(avatar_split_clause,[],[f367,f350,f175,f901]) ).

fof(f367,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_31 ),
    inference(duplicate_literal_removal,[],[f357]) ).

fof(f357,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_8
    | ~ spl1_31 ),
    inference(resolution,[],[f351,f176]) ).

fof(f899,plain,
    ( spl1_72
    | ~ spl1_6
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f291,f273,f165,f897]) ).

fof(f291,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f167]) ).

fof(f895,plain,
    ( spl1_71
    | ~ spl1_5
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f290,f273,f160,f893]) ).

fof(f290,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f162]) ).

fof(f891,plain,
    ( spl1_70
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f285,f269,f165,f889]) ).

fof(f285,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f167]) ).

fof(f887,plain,
    ( spl1_69
    | ~ spl1_5
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f284,f269,f160,f885]) ).

fof(f284,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_5
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f162]) ).

fof(f873,plain,
    ( ~ spl1_5
    | ~ spl1_3
    | spl1_68
    | ~ spl1_29
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f637,f530,f330,f870,f150,f160]) ).

fof(f870,plain,
    ( spl1_68
  <=> sdtlseqdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).

fof(f637,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_51 ),
    inference(duplicate_literal_removal,[],[f628]) ).

fof(f628,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl1_29
    | ~ spl1_51 ),
    inference(superposition,[],[f331,f532]) ).

fof(f840,plain,
    ( spl1_67
    | ~ spl1_4
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f295,f273,f155,f838]) ).

fof(f295,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f157]) ).

fof(f836,plain,
    ( spl1_66
    | ~ spl1_3
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f294,f273,f150,f834]) ).

fof(f294,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_22 ),
    inference(resolution,[],[f274,f152]) ).

fof(f832,plain,
    ( spl1_65
    | ~ spl1_4
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f289,f269,f155,f830]) ).

fof(f289,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_4
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f157]) ).

fof(f828,plain,
    ( spl1_64
    | ~ spl1_3
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f288,f269,f150,f826]) ).

fof(f288,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl1_3
    | ~ spl1_21 ),
    inference(resolution,[],[f270,f152]) ).

fof(f725,plain,
    ( spl1_63
    | ~ spl1_6
    | ~ spl1_14 ),
    inference(avatar_split_clause,[],[f224,f200,f165,f722]) ).

fof(f224,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl1_6
    | ~ spl1_14 ),
    inference(resolution,[],[f201,f167]) ).

fof(f720,plain,
    ( spl1_62
    | ~ spl1_6
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f220,f196,f165,f717]) ).

fof(f220,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl1_6
    | ~ spl1_13 ),
    inference(resolution,[],[f197,f167]) ).

fof(f715,plain,
    ( spl1_61
    | ~ spl1_6
    | ~ spl1_12 ),
    inference(avatar_split_clause,[],[f216,f192,f165,f712]) ).

fof(f216,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl1_6
    | ~ spl1_12 ),
    inference(resolution,[],[f193,f167]) ).

fof(f710,plain,
    ( spl1_60
    | ~ spl1_5
    | ~ spl1_12 ),
    inference(avatar_split_clause,[],[f215,f192,f160,f707]) ).

fof(f215,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl1_5
    | ~ spl1_12 ),
    inference(resolution,[],[f193,f162]) ).

fof(f705,plain,
    ( spl1_59
    | ~ spl1_6
    | ~ spl1_11 ),
    inference(avatar_split_clause,[],[f212,f188,f165,f702]) ).

fof(f212,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl1_6
    | ~ spl1_11 ),
    inference(resolution,[],[f189,f167]) ).

fof(f700,plain,
    ( spl1_58
    | ~ spl1_6
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f208,f184,f165,f697]) ).

fof(f208,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl1_6
    | ~ spl1_10 ),
    inference(resolution,[],[f185,f167]) ).

fof(f695,plain,
    ( spl1_57
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f207,f184,f160,f692]) ).

fof(f207,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(resolution,[],[f185,f162]) ).

fof(f558,plain,
    ( spl1_56
    | ~ spl1_4
    | ~ spl1_15 ),
    inference(avatar_split_clause,[],[f230,f204,f155,f555]) ).

fof(f230,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl1_4
    | ~ spl1_15 ),
    inference(resolution,[],[f205,f157]) ).

fof(f553,plain,
    ( spl1_55
    | ~ spl1_3
    | ~ spl1_15 ),
    inference(avatar_split_clause,[],[f229,f204,f150,f550]) ).

fof(f229,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl1_3
    | ~ spl1_15 ),
    inference(resolution,[],[f205,f152]) ).

fof(f548,plain,
    ( spl1_54
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(avatar_split_clause,[],[f226,f200,f155,f545]) ).

fof(f226,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(resolution,[],[f201,f157]) ).

fof(f543,plain,
    ( spl1_53
    | ~ spl1_3
    | ~ spl1_14 ),
    inference(avatar_split_clause,[],[f225,f200,f150,f540]) ).

fof(f225,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl1_3
    | ~ spl1_14 ),
    inference(resolution,[],[f201,f152]) ).

fof(f538,plain,
    ( spl1_52
    | ~ spl1_4
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f222,f196,f155,f535]) ).

fof(f222,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl1_4
    | ~ spl1_13 ),
    inference(resolution,[],[f197,f157]) ).

fof(f533,plain,
    ( spl1_51
    | ~ spl1_3
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f221,f196,f150,f530]) ).

fof(f221,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl1_3
    | ~ spl1_13 ),
    inference(resolution,[],[f197,f152]) ).

fof(f520,plain,
    spl1_50,
    inference(avatar_split_clause,[],[f128,f518]) ).

fof(f128,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,[],[f71]) ).

fof(f71,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,[],[f70]) ).

fof(f70,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/sandbox/benchmark/theBenchmark.p',mMonMul) ).

fof(f516,plain,
    spl1_49,
    inference(avatar_split_clause,[],[f126,f514]) ).

fof(f126,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,[],[f71]) ).

fof(f512,plain,
    ( spl1_48
    | ~ spl1_4
    | ~ spl1_12 ),
    inference(avatar_split_clause,[],[f218,f192,f155,f509]) ).

fof(f218,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl1_4
    | ~ spl1_12 ),
    inference(resolution,[],[f193,f157]) ).

fof(f499,plain,
    spl1_47,
    inference(avatar_split_clause,[],[f134,f497]) ).

fof(f134,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,[],[f109]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,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,[],[f76]) ).

fof(f76,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,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(f467,plain,
    spl1_46,
    inference(avatar_split_clause,[],[f124,f465]) ).

fof(f124,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,[],[f69]) ).

fof(f69,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,[],[f68]) ).

fof(f68,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/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

fof(f463,plain,
    spl1_45,
    inference(avatar_split_clause,[],[f123,f461]) ).

fof(f123,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,[],[f69]) ).

fof(f459,plain,
    ( spl1_44
    | ~ spl1_3
    | ~ spl1_12 ),
    inference(avatar_split_clause,[],[f217,f192,f150,f456]) ).

fof(f217,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl1_3
    | ~ spl1_12 ),
    inference(resolution,[],[f193,f152]) ).

fof(f454,plain,
    spl1_43,
    inference(avatar_split_clause,[],[f116,f452]) ).

fof(f116,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,[],[f59]) ).

fof(f59,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,[],[f58]) ).

fof(f58,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/sandbox/benchmark/theBenchmark.p',mMonAdd) ).

fof(f450,plain,
    spl1_42,
    inference(avatar_split_clause,[],[f114,f448]) ).

fof(f114,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,[],[f59]) ).

fof(f446,plain,
    spl1_41,
    inference(avatar_split_clause,[],[f100,f444]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,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,[],[f40]) ).

fof(f40,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/sandbox/benchmark/theBenchmark.p',mMulCanc) ).

fof(f442,plain,
    spl1_40,
    inference(avatar_split_clause,[],[f99,f440]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f422,plain,
    spl1_39,
    inference(avatar_split_clause,[],[f122,f420]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

fof(f418,plain,
    spl1_38,
    inference(avatar_split_clause,[],[f121,f416]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,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/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

fof(f410,plain,
    ( spl1_37
    | ~ spl1_4
    | ~ spl1_11 ),
    inference(avatar_split_clause,[],[f214,f188,f155,f407]) ).

fof(f214,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl1_4
    | ~ spl1_11 ),
    inference(resolution,[],[f189,f157]) ).

fof(f405,plain,
    spl1_36,
    inference(avatar_split_clause,[],[f131,f403]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,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,[],[f74]) ).

fof(f74,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/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

fof(f401,plain,
    spl1_35,
    inference(avatar_split_clause,[],[f130,f399]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f386,plain,
    spl1_34,
    inference(avatar_split_clause,[],[f129,f384]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,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/sandbox/benchmark/theBenchmark.p',mLETran) ).

fof(f382,plain,
    spl1_33,
    inference(avatar_split_clause,[],[f112,f380]) ).

fof(f380,plain,
    ( spl1_33
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 = X0
        | sz00 != sdtasdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f56]) ).

fof(f56,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/sandbox/benchmark/theBenchmark.p',mZeroMul) ).

fof(f356,plain,
    spl1_32,
    inference(avatar_split_clause,[],[f135,f354]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X2) = X1
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f352,plain,
    spl1_31,
    inference(avatar_split_clause,[],[f119,f350]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sK0(X0,X1)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
            & aNaturalNumber0(sK0(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f79,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK0(X0,X1)) = X1
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,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,[],[f78]) ).

fof(f78,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,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,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/sandbox/benchmark/theBenchmark.p',mDefLE) ).

fof(f348,plain,
    ( spl1_30
    | ~ spl1_3
    | ~ spl1_11 ),
    inference(avatar_split_clause,[],[f213,f188,f150,f345]) ).

fof(f213,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl1_3
    | ~ spl1_11 ),
    inference(resolution,[],[f189,f152]) ).

fof(f332,plain,
    spl1_29,
    inference(avatar_split_clause,[],[f137,f330]) ).

fof(f137,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f328,plain,
    spl1_28,
    inference(avatar_split_clause,[],[f117,f326]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,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/sandbox/benchmark/theBenchmark.p',mLEAsym) ).

fof(f324,plain,
    spl1_27,
    inference(avatar_split_clause,[],[f111,f322]) ).

fof(f322,plain,
    ( spl1_27
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f54]) ).

fof(f54,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/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).

fof(f320,plain,
    spl1_26,
    inference(avatar_split_clause,[],[f110,f318]) ).

fof(f318,plain,
    ( spl1_26
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( sz00 = X0
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f300,plain,
    ( spl1_25
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f210,f184,f155,f297]) ).

fof(f210,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(resolution,[],[f185,f157]) ).

fof(f283,plain,
    spl1_24,
    inference(avatar_split_clause,[],[f136,f281]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f107]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f279,plain,
    spl1_23,
    inference(avatar_split_clause,[],[f118,f277]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK0(X0,X1))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f275,plain,
    spl1_22,
    inference(avatar_split_clause,[],[f104,f273]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,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/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(f271,plain,
    spl1_21,
    inference(avatar_split_clause,[],[f103,f269]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,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/sandbox/benchmark/theBenchmark.p',mAddComm) ).

fof(f267,plain,
    spl1_20,
    inference(avatar_split_clause,[],[f98,f265]) ).

fof(f98,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,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/sandbox/benchmark/theBenchmark.p',mLENTr) ).

fof(f259,plain,
    spl1_19,
    inference(avatar_split_clause,[],[f106,f257]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,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/sandbox/benchmark/theBenchmark.p',mLETotal) ).

fof(f255,plain,
    ( spl1_18
    | ~ spl1_3
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f209,f184,f150,f252]) ).

fof(f209,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl1_3
    | ~ spl1_10 ),
    inference(resolution,[],[f185,f152]) ).

fof(f238,plain,
    spl1_17,
    inference(avatar_split_clause,[],[f102,f236]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,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/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f234,plain,
    spl1_16,
    inference(avatar_split_clause,[],[f101,f232]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,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/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f206,plain,
    spl1_15,
    inference(avatar_split_clause,[],[f96,f204]) ).

fof(f96,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,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/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f202,plain,
    spl1_14,
    inference(avatar_split_clause,[],[f95,f200]) ).

fof(f95,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f198,plain,
    spl1_13,
    inference(avatar_split_clause,[],[f94,f196]) ).

fof(f94,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,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/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

fof(f194,plain,
    spl1_12,
    inference(avatar_split_clause,[],[f93,f192]) ).

fof(f93,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f190,plain,
    spl1_11,
    inference(avatar_split_clause,[],[f92,f188]) ).

fof(f92,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,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/sandbox/benchmark/theBenchmark.p',m_MulZero) ).

fof(f186,plain,
    spl1_10,
    inference(avatar_split_clause,[],[f91,f184]) ).

fof(f91,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f182,plain,
    ( spl1_1
    | spl1_9 ),
    inference(avatar_split_clause,[],[f86,f179,f140]) ).

fof(f86,plain,
    ( sdtlseqdt0(sz10,xm)
    | sz00 = xm ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( sdtlseqdt0(sz10,xm)
    | sz00 = xm ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( sz00 != xm
   => sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1007) ).

fof(f177,plain,
    spl1_8,
    inference(avatar_split_clause,[],[f90,f175]) ).

fof(f90,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).

fof(f173,plain,
    ~ spl1_7,
    inference(avatar_split_clause,[],[f89,f170]) ).

fof(f89,plain,
    sz00 != sz10,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f168,plain,
    spl1_6,
    inference(avatar_split_clause,[],[f88,f165]) ).

fof(f88,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f163,plain,
    spl1_5,
    inference(avatar_split_clause,[],[f87,f160]) ).

fof(f87,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f158,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f85,f155]) ).

fof(f85,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).

fof(f153,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f84,f150]) ).

fof(f84,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f148,plain,
    ~ spl1_2,
    inference(avatar_split_clause,[],[f83,f145]) ).

fof(f83,plain,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & sz00 != xm ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ( sz00 != xm
     => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ( sz00 != xm
   => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f143,plain,
    ~ spl1_1,
    inference(avatar_split_clause,[],[f82,f140]) ).

fof(f82,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM465+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 23:41:24 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (11029)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (11032)WARNING: value z3 for option sas not known
% 0.22/0.38  % (11033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (11030)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (11035)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)
% 0.22/0.38  % (11032)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)
% 0.22/0.38  % (11031)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (11034)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)
% 0.22/0.38  % (11036)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)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.45  TRYING [5]
% 0.22/0.47  TRYING [5]
% 1.40/0.57  TRYING [6]
% 1.40/0.59  TRYING [6]
% 3.25/0.82  TRYING [7]
% 3.47/0.86  TRYING [7]
% 7.78/1.50  TRYING [1]
% 7.78/1.50  TRYING [2]
% 7.78/1.50  TRYING [3]
% 7.78/1.50  TRYING [4]
% 8.26/1.54  TRYING [5]
% 9.04/1.67  TRYING [6]
% 9.31/1.68  TRYING [8]
% 9.91/1.80  TRYING [8]
% 12.69/2.21  TRYING [7]
% 22.09/3.52  TRYING [8]
% 24.34/3.85  TRYING [9]
% 24.94/3.97  TRYING [9]
% 36.38/5.58  % (11034)First to succeed.
% 36.71/5.63  % (11034)Refutation found. Thanks to Tanya!
% 36.71/5.63  % SZS status Theorem for theBenchmark
% 36.71/5.63  % SZS output start Proof for theBenchmark
% See solution above
% 36.99/5.66  % (11034)------------------------------
% 36.99/5.66  % (11034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 36.99/5.66  % (11034)Termination reason: Refutation
% 36.99/5.66  
% 36.99/5.66  % (11034)Memory used [KB]: 28460
% 36.99/5.66  % (11034)Time elapsed: 5.246 s
% 36.99/5.66  % (11034)Instructions burned: 10830 (million)
% 36.99/5.66  % (11034)------------------------------
% 36.99/5.66  % (11034)------------------------------
% 36.99/5.66  % (11029)Success in time 5.272 s
%------------------------------------------------------------------------------