%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM459+2 : 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 : n006.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 14:23:29 EDT 2024

% Result   : Theorem 6.51s 1.32s
% Output   : Refutation 7.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      : 1307
% Syntax   : Number of formulae    : 4708 (  54 unt;   0 def)
%            Number of atoms       : 18650 (3558 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 26437 (12495   ~;12533   |;  90   &)
%                                         (1289 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  : 1287 (1285 usr;1284 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   : 4003 (3985   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29004,plain,
    $false,
    inference(avatar_sat_refutation,[],[f115,f120,f125,f130,f135,f140,f145,f150,f155,f160,f165,f170,f174,f178,f182,f186,f190,f194,f198,f215,f243,f247,f265,f269,f274,f278,f282,f318,f322,f335,f339,f345,f349,f365,f369,f373,f378,f394,f398,f422,f426,f430,f434,f468,f477,f482,f487,f492,f497,f502,f507,f512,f594,f598,f602,f606,f647,f664,f669,f674,f687,f700,f705,f718,f730,f739,f748,f754,f769,f776,f782,f786,f790,f794,f864,f868,f872,f876,f922,f940,f945,f950,f955,f960,f965,f970,f975,f980,f987,f992,f997,f1044,f1093,f1098,f1103,f1108,f1113,f1120,f1125,f1192,f1197,f1201,f1205,f1209,f1261,f1265,f1269,f1274,f1278,f1282,f1286,f1366,f1371,f1375,f1379,f1383,f1427,f1431,f1435,f1440,f1444,f1448,f1452,f1456,f1460,f1515,f1549,f1553,f1557,f1561,f1592,f1606,f1610,f1614,f1618,f1672,f1677,f1681,f1685,f1689,f1693,f1792,f1797,f1801,f1805,f1809,f1813,f1817,f1821,f1825,f1854,f1906,f1910,f1914,f1918,f1936,f1981,f1985,f1989,f1993,f1997,f2001,f2005,f2018,f2123,f2137,f2209,f2213,f2217,f2221,f2252,f2266,f2270,f2274,f2278,f2322,f2327,f2331,f2335,f2339,f2383,f2387,f2391,f2396,f2400,f2440,f2444,f2448,f2452,f2467,f2596,f2601,f2610,f2620,f2625,f2629,f2633,f2637,f2641,f2645,f2649,f2650,f2820,f2825,f2833,f2841,f2847,f2968,f2972,f2973,f3161,f3165,f3169,f3173,f3177,f3181,f3185,f3189,f3194,f3198,f3202,f3206,f3210,f3214,f3218,f3222,f3226,f3230,f3234,f3239,f3243,f3247,f3251,f3255,f3260,f3266,f3272,f3278,f3283,f3287,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3393,f3570,f3745,f3919,f3923,f3928,f3932,f3936,f3940,f3944,f3948,f3952,f3956,f3960,f3964,f3968,f3973,f3977,f3981,f3985,f3989,f3993,f3997,f4001,f4005,f4009,f4013,f4018,f4022,f4026,f4030,f4034,f4038,f4042,f4046,f4050,f4054,f4058,f4063,f4068,f4074,f4080,f4086,f4092,f4098,f4104,f4110,f4115,f4119,f4124,f4128,f4132,f4136,f4140,f4144,f4148,f4233,f4443,f4714,f4929,f5087,f5097,f5108,f5112,f5123,f5133,f5143,f5152,f5163,f5167,f5175,f5179,f5183,f5187,f5191,f5195,f5199,f5203,f5208,f5212,f5216,f5220,f5224,f5228,f5232,f5236,f5240,f5244,f5248,f5253,f5257,f5261,f5265,f5269,f5273,f5277,f5281,f5285,f5289,f5293,f5298,f5302,f5306,f5310,f5314,f5318,f5322,f5326,f5330,f5334,f5338,f5343,f5347,f5351,f5468,f5726,f6013,f6226,f6286,f6300,f6306,f6320,f6359,f6368,f6378,f6388,f6393,f6398,f6403,f6409,f6413,f6417,f6421,f6425,f6429,f6433,f6437,f6441,f6445,f6450,f6456,f6460,f6465,f6474,f6476,f6564,f6573,f6575,f6636,f6664,f6734,f6738,f6742,f6746,f6751,f6775,f6858,f6862,f6866,f6870,f6874,f6878,f6883,f6887,f6891,f6895,f6899,f6903,f6907,f7215,f7219,f7223,f7227,f7231,f7235,f7239,f7243,f7300,f7304,f7308,f7312,f7316,f7321,f7326,f7331,f7616,f7620,f7624,f7628,f7632,f7636,f7640,f7644,f7683,f7777,f7781,f7785,f7789,f7793,f7798,f7803,f7808,f7870,f7874,f7878,f7882,f7886,f7948,f7952,f7957,f7961,f7965,f8028,f8083,f8138,f8143,f8148,f8153,f8158,f8163,f8168,f8173,f8178,f8262,f8317,f8322,f8333,f8338,f8343,f8394,f8398,f8408,f8412,f8416,f8420,f8424,f8428,f8433,f8441,f8455,f8461,f8586,f8631,f8635,f8639,f8643,f8647,f8651,f8655,f8659,f8664,f8668,f8672,f8676,f8680,f8685,f8693,f8952,f8956,f8960,f8964,f8968,f8972,f8976,f8980,f8984,f8988,f8993,f8997,f9001,f9005,f9009,f9013,f9017,f9021,f9025,f9029,f9033,f9038,f9042,f9046,f9050,f9054,f9058,f9062,f9066,f9070,f9075,f9097,f9112,f9118,f9674,f9678,f9682,f9686,f9690,f9694,f9698,f9702,f9712,f9716,f9720,f9724,f9728,f9732,f9736,f9740,f9744,f9748,f9758,f9762,f9766,f9770,f9774,f9778,f9782,f9786,f9790,f9794,f9799,f9803,f9807,f9811,f9815,f9820,f9836,f9905,f10121,f10489,f10494,f10498,f10502,f10506,f10510,f10514,f10518,f10522,f10526,f10530,f10534,f10544,f10548,f10552,f10556,f10560,f10564,f10568,f10572,f10576,f10580,f10590,f10594,f10598,f11155,f11159,f11163,f11173,f11177,f11181,f11185,f11189,f11422,f11436,f11446,f11461,f11477,f11494,f11501,f11518,f11524,f11541,f11551,f11569,f11576,f11580,f11584,f11594,f11598,f11602,f11606,f11610,f11614,f11618,f11622,f11626,f11630,f11640,f11644,f11648,f11652,f11656,f11660,f11664,f11668,f11672,f11676,f11686,f11690,f11694,f11698,f11702,f12255,f12265,f12275,f12279,f12283,f12293,f12297,f12301,f12305,f12309,f12313,f12317,f12321,f12325,f12329,f12346,f12350,f12354,f12358,f12362,f12366,f12370,f12374,f12378,f12382,f12396,f12400,f12404,f12408,f12412,f12416,f12420,f12424,f12457,f12602,f12785,f12940,f12945,f12955,f12963,f12973,f12982,f12989,f13010,f13016,f13026,f13030,f13034,f13038,f13363,f13367,f13371,f13375,f13379,f13383,f13387,f13400,f13548,f13564,f13568,f13572,f13576,f13580,f13584,f13588,f13592,f13596,f13600,f13616,f13620,f13624,f13628,f13632,f13963,f13967,f13971,f13975,f13979,f13983,f13987,f13991,f13995,f14005,f14009,f14013,f14017,f14021,f14025,f14029,f14033,f14037,f14041,f14051,f14328,f14346,f14350,f14354,f14358,f14362,f14366,f14370,f14374,f14378,f14456,f14460,f14464,f14468,f14472,f14476,f14480,f14527,f14811,f14815,f14819,f14823,f14827,f14831,f14835,f14840,f14844,f14848,f14852,f14856,f14860,f14864,f14868,f14872,f14876,f14880,f14885,f14889,f14893,f14897,f14901,f14905,f14909,f14913,f14917,f14921,f14925,f14930,f14934,f15134,f15789,f15972,f15977,f15981,f15985,f15989,f15993,f15997,f16001,f16005,f16009,f16013,f16017,f16022,f16026,f16030,f16034,f16038,f16042,f16046,f16050,f16054,f16058,f16086,f16296,f16482,f16487,f16491,f16495,f16499,f16503,f16507,f16511,f16515,f16519,f16523,f16527,f16532,f16536,f16679,f16725,f16729,f16733,f16737,f16741,f16745,f16749,f16754,f16758,f16762,f16766,f16770,f16774,f16778,f16782,f16786,f16790,f16794,f16799,f16803,f16807,f16811,f16815,f16819,f16823,f16827,f16874,f17027,f17208,f17227,f17231,f17235,f17239,f17243,f17247,f17251,f17255,f17283,f17432,f17436,f17440,f17445,f17449,f17453,f17457,f17461,f17465,f17585,f17650,f17654,f17658,f17662,f17709,f17727,f17731,f17735,f17739,f17743,f17747,f17751,f17755,f17774,f18156,f18160,f18164,f18169,f18173,f18263,f18267,f18271,f18275,f18279,f18284,f18288,f18292,f18296,f18300,f18304,f18308,f18312,f18381,f18571,f18576,f18580,f18584,f18588,f18682,f18686,f18690,f18695,f18699,f18793,f18797,f18801,f18805,f18809,f18814,f18818,f18822,f18826,f18929,f18947,f18951,f18955,f18959,f18963,f18967,f18971,f18975,f18994,f19376,f19380,f19384,f19389,f19393,f19397,f19401,f19405,f19409,f19519,f19582,f19586,f19590,f19594,f19598,f19602,f19606,f19611,f19615,f20011,f20016,f20020,f20024,f20028,f20114,f20118,f20122,f20127,f20131,f20218,f20223,f20228,f20233,f20238,f20243,f20248,f20253,f20258,f20263,f20268,f20273,f20278,f20283,f20288,f20293,f20298,f20303,f20308,f20313,f20318,f20323,f20328,f20333,f20338,f20343,f20348,f20353,f20358,f20363,f20368,f20373,f20378,f20383,f20388,f20393,f20398,f20403,f20408,f20413,f20418,f20427,f20438,f20444,f20448,f20453,f20458,f20463,f20468,f20473,f20478,f20483,f20488,f20493,f20498,f20503,f20509,f20514,f20519,f20524,f20529,f20534,f20575,f22523,f22624,f25113,f25258,f25281,f25286,f25291,f25296,f25305,f25310,f25315,f25320,f25325,f25334,f25339,f25359,f25378,f25389,f25400,f25411,f25422,f25428,f25434,f25439,f25445,f25450,f25456,f25462,f25467,f25472,f25477,f25483,f25488,f25493,f25498,f25503,f25508,f25513,f25518,f25523,f25528,f25533,f25539,f25545,f25551,f25556,f25561,f25566,f25572,f25578,f25583,f25588,f25593,f25599,f25604,f25609,f25614,f25619,f25624,f25629,f25635,f25641,f25647,f25652,f25657,f25662,f25668,f25673,f25678,f25683,f25688,f25693,f25698,f25703,f25708,f25714,f25720,f25725,f25730,f25736,f25741,f25747,f25752,f25757,f25762,f25768,f25773,f25778,f25783,f25788,f25794,f25799,f25804,f25809,f25814,f25819,f25824,f25829,f25835,f25841,f25848,f25853,f25858,f25864,f25870,f25875,f25881,f25887,f25893,f25898,f25904,f25910,f25916,f25921,f25927,f25933,f25938,f25944,f25950,f25955,f25962,f25968,f25974,f25979,f25984,f25990,f25996,f26001,f26006,f26011,f26017,f26022,f26027,f26032,f26037,f26043,f26049,f26055,f26061,f26067,f26074,f26080,f26086,f26091,f26096,f26101,f26106,f26111,f26116,f26121,f26127,f26132,f26137,f26142,f26147,f26152,f26157,f26162,f26167,f26172,f26178,f26183,f26188,f26193,f26198,f26203,f26208,f26213,f26218,f26223,f26232,f26237,f26242,f26247,f26252,f26257,f26262,f26267,f26272,f26277,f26283,f26289,f26295,f26300,f26306,f26311,f26317,f26322,f26327,f26332,f26337,f26338,f26355,f26360,f26365,f26370,f26375,f26380,f26385,f26390,f26395,f26400,f27870,f27875,f27880,f27885,f27890,f27895,f27900,f27905,f27910,f27915,f27947,f27952,f27957,f27962,f27967,f27972,f27977,f27982,f27994,f27999,f28004,f28009,f28049,f28104,f28165,f28170,f28175,f28195,f28200,f28233,f28292,f28297,f28302,f28309,f28382,f28388,f28553,f28559,f28566,f28615,f28620,f28677,f28721,f28997,f29002,f29003]) ).

fof(f29003,plain,
    ( spl3_5
    | ~ spl3_370
    | ~ spl3_489
    | ~ spl3_1059 ),
    inference(avatar_split_clause,[],[f28942,f25425,f8452,f6314,f132]) ).

fof(f132,plain,
    ( spl3_5
  <=> xm = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f6314,plain,
    ( spl3_370
  <=> sz00 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_370])]) ).

fof(f8452,plain,
    ( spl3_489
  <=> xn = sdtmndt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_489])]) ).

fof(f25425,plain,
    ( spl3_1059
  <=> xm = sdtmndt0(xn,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1059])]) ).

fof(f28942,plain,
    ( xm = xn
    | ~ spl3_370
    | ~ spl3_489
    | ~ spl3_1059 ),
    inference(forward_demodulation,[],[f28868,f25427]) ).

fof(f25427,plain,
    ( xm = sdtmndt0(xn,sK1)
    | ~ spl3_1059 ),
    inference(avatar_component_clause,[],[f25425]) ).

fof(f28868,plain,
    ( xn = sdtmndt0(xn,sK1)
    | ~ spl3_370
    | ~ spl3_489 ),
    inference(superposition,[],[f8454,f6316]) ).

fof(f6316,plain,
    ( sz00 = sK1
    | ~ spl3_370 ),
    inference(avatar_component_clause,[],[f6314]) ).

fof(f8454,plain,
    ( xn = sdtmndt0(xn,sz00)
    | ~ spl3_489 ),
    inference(avatar_component_clause,[],[f8452]) ).

fof(f29002,plain,
    ( spl3_1283
    | ~ spl3_370
    | ~ spl3_473 ),
    inference(avatar_split_clause,[],[f28864,f8259,f6314,f28999]) ).

fof(f28999,plain,
    ( spl3_1283
  <=> sdtlseqdt0(sK1,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1283])]) ).

fof(f8259,plain,
    ( spl3_473
  <=> sdtlseqdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_473])]) ).

fof(f28864,plain,
    ( sdtlseqdt0(sK1,sz10)
    | ~ spl3_370
    | ~ spl3_473 ),
    inference(superposition,[],[f8261,f6316]) ).

fof(f8261,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ spl3_473 ),
    inference(avatar_component_clause,[],[f8259]) ).

fof(f28997,plain,
    ( spl3_1282
    | ~ spl3_370
    | ~ spl3_462 ),
    inference(avatar_split_clause,[],[f28861,f8025,f6314,f28994]) ).

fof(f28994,plain,
    ( spl3_1282
  <=> sdtlseqdt0(sK1,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1282])]) ).

fof(f8025,plain,
    ( spl3_462
  <=> sdtlseqdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_462])]) ).

fof(f28861,plain,
    ( sdtlseqdt0(sK1,xm)
    | ~ spl3_370
    | ~ spl3_462 ),
    inference(superposition,[],[f8027,f6316]) ).

fof(f8027,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ spl3_462 ),
    inference(avatar_component_clause,[],[f8025]) ).

fof(f28721,plain,
    ( ~ spl3_2
    | ~ spl3_1
    | spl3_370
    | ~ spl3_29
    | ~ spl3_1208 ),
    inference(avatar_split_clause,[],[f27941,f26225,f320,f6314,f112,f117]) ).

fof(f117,plain,
    ( spl3_2
  <=> aNaturalNumber0(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f112,plain,
    ( spl3_1
  <=> aNaturalNumber0(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f320,plain,
    ( spl3_29
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f26225,plain,
    ( spl3_1208
  <=> sz00 = sdtpldt0(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1208])]) ).

fof(f27941,plain,
    ( sz00 = sK1
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_29
    | ~ spl3_1208 ),
    inference(trivial_inequality_removal,[],[f27935]) ).

fof(f27935,plain,
    ( sz00 != sz00
    | sz00 = sK1
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_29
    | ~ spl3_1208 ),
    inference(superposition,[],[f321,f26227]) ).

fof(f26227,plain,
    ( sz00 = sdtpldt0(sK0,sK1)
    | ~ spl3_1208 ),
    inference(avatar_component_clause,[],[f26225]) ).

fof(f321,plain,
    ( ! [X0,X1] :
        ( sz00 != sdtpldt0(X0,X1)
        | sz00 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f28677,plain,
    ( spl3_1281
    | ~ spl3_11
    | ~ spl3_268
    | ~ spl3_1122 ),
    inference(avatar_split_clause,[],[f25763,f25759,f3987,f162,f28674]) ).

fof(f28674,plain,
    ( spl3_1281
  <=> sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sz10,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1281])]) ).

fof(f162,plain,
    ( spl3_11
  <=> aNaturalNumber0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f3987,plain,
    ( spl3_268
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(X0,sdtpldt0(sK1,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_268])]) ).

fof(f25759,plain,
    ( spl3_1122
  <=> sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sz10,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1122])]) ).

fof(f25763,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sz10,sdtpldt0(sK1,xn))
    | ~ spl3_11
    | ~ spl3_268
    | ~ spl3_1122 ),
    inference(forward_demodulation,[],[f25761,f4464]) ).

fof(f4464,plain,
    ( sdtpldt0(sdtpldt0(sz10,xn),sK1) = sdtpldt0(sz10,sdtpldt0(sK1,xn))
    | ~ spl3_11
    | ~ spl3_268 ),
    inference(resolution,[],[f3988,f164]) ).

fof(f164,plain,
    ( aNaturalNumber0(sz10)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f3988,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(X0,sdtpldt0(sK1,xn)) )
    | ~ spl3_268 ),
    inference(avatar_component_clause,[],[f3987]) ).

fof(f25761,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sz10,xn),sK1)
    | ~ spl3_1122 ),
    inference(avatar_component_clause,[],[f25759]) ).

fof(f28620,plain,
    ( spl3_1280
    | ~ spl3_1
    | ~ spl3_268
    | ~ spl3_1118 ),
    inference(avatar_split_clause,[],[f25742,f25738,f3987,f112,f28617]) ).

fof(f28617,plain,
    ( spl3_1280
  <=> sdtpldt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sK1,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1280])]) ).

fof(f25738,plain,
    ( spl3_1118
  <=> sdtpldt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1118])]) ).

fof(f25742,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sK1,sdtpldt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_268
    | ~ spl3_1118 ),
    inference(forward_demodulation,[],[f25740,f4471]) ).

fof(f4471,plain,
    ( sdtpldt0(sdtpldt0(sK1,xn),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_268 ),
    inference(resolution,[],[f3988,f114]) ).

fof(f114,plain,
    ( aNaturalNumber0(sK1)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f25740,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,xn),sK1)
    | ~ spl3_1118 ),
    inference(avatar_component_clause,[],[f25738]) ).

fof(f28615,plain,
    ( spl3_1279
    | ~ spl3_1
    | ~ spl3_267
    | ~ spl3_1116 ),
    inference(avatar_split_clause,[],[f25731,f25727,f3983,f112,f28612]) ).

fof(f28612,plain,
    ( spl3_1279
  <=> sdtpldt0(sz10,sdtpldt0(sK1,sK1)) = sdtpldt0(sK1,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1279])]) ).

fof(f3983,plain,
    ( spl3_267
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_267])]) ).

fof(f25727,plain,
    ( spl3_1116
  <=> sdtpldt0(sz10,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,sz10),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1116])]) ).

fof(f25731,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,sK1)) = sdtpldt0(sK1,sdtpldt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_267
    | ~ spl3_1116 ),
    inference(forward_demodulation,[],[f25729,f4452]) ).

fof(f4452,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_267 ),
    inference(resolution,[],[f3984,f114]) ).

fof(f3984,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sz10)) )
    | ~ spl3_267 ),
    inference(avatar_component_clause,[],[f3983]) ).

fof(f25729,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,sz10),sK1)
    | ~ spl3_1116 ),
    inference(avatar_component_clause,[],[f25727]) ).

fof(f28566,plain,
    ( spl3_1278
    | ~ spl3_50
    | ~ spl3_1208
    | ~ spl3_1277 ),
    inference(avatar_split_clause,[],[f28561,f28556,f26225,f499,f28563]) ).

fof(f28563,plain,
    ( spl3_1278
  <=> sK1 = sdtpldt0(sK0,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1278])]) ).

fof(f499,plain,
    ( spl3_50
  <=> sK1 = sdtpldt0(sK1,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).

fof(f28556,plain,
    ( spl3_1277
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sK0,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1277])]) ).

fof(f28561,plain,
    ( sK1 = sdtpldt0(sK0,sdtpldt0(sK1,sK1))
    | ~ spl3_50
    | ~ spl3_1208
    | ~ spl3_1277 ),
    inference(forward_demodulation,[],[f28560,f501]) ).

fof(f501,plain,
    ( sK1 = sdtpldt0(sK1,sz00)
    | ~ spl3_50 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f28560,plain,
    ( sdtpldt0(sK1,sz00) = sdtpldt0(sK0,sdtpldt0(sK1,sK1))
    | ~ spl3_1208
    | ~ spl3_1277 ),
    inference(forward_demodulation,[],[f28558,f26227]) ).

fof(f28558,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sK0,sdtpldt0(sK1,sK1))
    | ~ spl3_1277 ),
    inference(avatar_component_clause,[],[f28556]) ).

fof(f28559,plain,
    ( spl3_1277
    | ~ spl3_2
    | ~ spl3_266
    | ~ spl3_1113 ),
    inference(avatar_split_clause,[],[f25715,f25711,f3979,f117,f28556]) ).

fof(f3979,plain,
    ( spl3_266
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_266])]) ).

fof(f25711,plain,
    ( spl3_1113
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1113])]) ).

fof(f25715,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sK0,sdtpldt0(sK1,sK1))
    | ~ spl3_2
    | ~ spl3_266
    | ~ spl3_1113 ),
    inference(forward_demodulation,[],[f25713,f4427]) ).

fof(f4427,plain,
    ( sdtpldt0(sdtpldt0(sK0,sK1),sK1) = sdtpldt0(sK0,sdtpldt0(sK1,sK1))
    | ~ spl3_2
    | ~ spl3_266 ),
    inference(resolution,[],[f3980,f119]) ).

fof(f119,plain,
    ( aNaturalNumber0(sK0)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f3980,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sK1)) )
    | ~ spl3_266 ),
    inference(avatar_component_clause,[],[f3979]) ).

fof(f25713,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1113 ),
    inference(avatar_component_clause,[],[f25711]) ).

fof(f28553,plain,
    ( spl3_1276
    | ~ spl3_2
    | ~ spl3_267
    | ~ spl3_1112 ),
    inference(avatar_split_clause,[],[f25709,f25705,f3983,f117,f28550]) ).

fof(f28550,plain,
    ( spl3_1276
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sK0,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1276])]) ).

fof(f25705,plain,
    ( spl3_1112
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sz10),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1112])]) ).

fof(f25709,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_2
    | ~ spl3_267
    | ~ spl3_1112 ),
    inference(forward_demodulation,[],[f25707,f4451]) ).

fof(f4451,plain,
    ( sdtpldt0(sdtpldt0(sK0,sz10),sK1) = sdtpldt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_2
    | ~ spl3_267 ),
    inference(resolution,[],[f3984,f119]) ).

fof(f25707,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sz10),sK1)
    | ~ spl3_1112 ),
    inference(avatar_component_clause,[],[f25705]) ).

fof(f28388,plain,
    ( spl3_1275
    | ~ spl3_98
    | ~ spl3_106
    | ~ spl3_1160
    | ~ spl3_1208
    | ~ spl3_1209 ),
    inference(avatar_split_clause,[],[f26942,f26229,f26225,f25971,f1263,f1117,f28385]) ).

fof(f28385,plain,
    ( spl3_1275
  <=> sz10 = sdtpldt0(sK0,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1275])]) ).

fof(f1117,plain,
    ( spl3_98
  <=> sz10 = sdtpldt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).

fof(f1263,plain,
    ( spl3_106
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f25971,plain,
    ( spl3_1160
  <=> sdtpldt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1160])]) ).

fof(f26229,plain,
    ( spl3_1209
  <=> aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1209])]) ).

fof(f26942,plain,
    ( sz10 = sdtpldt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_98
    | ~ spl3_106
    | ~ spl3_1160
    | ~ spl3_1208
    | ~ spl3_1209 ),
    inference(forward_demodulation,[],[f26941,f1119]) ).

fof(f1119,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl3_98 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f26941,plain,
    ( sdtpldt0(sz10,sz00) = sdtpldt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_106
    | ~ spl3_1160
    | ~ spl3_1208
    | ~ spl3_1209 ),
    inference(forward_demodulation,[],[f26940,f26227]) ).

fof(f26940,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK1)) = sdtpldt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_106
    | ~ spl3_1160
    | ~ spl3_1209 ),
    inference(forward_demodulation,[],[f26430,f25973]) ).

fof(f25973,plain,
    ( sdtpldt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10)
    | ~ spl3_1160 ),
    inference(avatar_component_clause,[],[f25971]) ).

fof(f26430,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10)
    | ~ spl3_106
    | ~ spl3_1209 ),
    inference(resolution,[],[f26230,f1264]) ).

fof(f1264,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
    | ~ spl3_106 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f26230,plain,
    ( aNaturalNumber0(sdtpldt0(sK0,sK1))
    | ~ spl3_1209 ),
    inference(avatar_component_clause,[],[f26229]) ).

fof(f28382,plain,
    ( spl3_1274
    | ~ spl3_11
    | ~ spl3_262
    | ~ spl3_1103 ),
    inference(avatar_split_clause,[],[f25663,f25659,f3962,f162,f28379]) ).

fof(f28379,plain,
    ( spl3_1274
  <=> sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sz10,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1274])]) ).

fof(f3962,plain,
    ( spl3_262
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(X0,sdtpldt0(sK0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_262])]) ).

fof(f25659,plain,
    ( spl3_1103
  <=> sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sz10,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1103])]) ).

fof(f25663,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sz10,sdtpldt0(sK0,xm))
    | ~ spl3_11
    | ~ spl3_262
    | ~ spl3_1103 ),
    inference(forward_demodulation,[],[f25661,f4354]) ).

fof(f4354,plain,
    ( sdtpldt0(sdtpldt0(sz10,xm),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,xm))
    | ~ spl3_11
    | ~ spl3_262 ),
    inference(resolution,[],[f3963,f164]) ).

fof(f3963,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(X0,sdtpldt0(sK0,xm)) )
    | ~ spl3_262 ),
    inference(avatar_component_clause,[],[f3962]) ).

fof(f25661,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sz10,xm),sK0)
    | ~ spl3_1103 ),
    inference(avatar_component_clause,[],[f25659]) ).

fof(f28309,plain,
    ( spl3_1273
    | ~ spl3_49
    | ~ spl3_1208
    | ~ spl3_1272 ),
    inference(avatar_split_clause,[],[f28304,f28299,f26225,f494,f28306]) ).

fof(f28306,plain,
    ( spl3_1273
  <=> sK0 = sdtpldt0(sK1,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1273])]) ).

fof(f494,plain,
    ( spl3_49
  <=> sK0 = sdtpldt0(sK0,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f28299,plain,
    ( spl3_1272
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1272])]) ).

fof(f28304,plain,
    ( sK0 = sdtpldt0(sK1,sdtpldt0(sK0,sK0))
    | ~ spl3_49
    | ~ spl3_1208
    | ~ spl3_1272 ),
    inference(forward_demodulation,[],[f28303,f496]) ).

fof(f496,plain,
    ( sK0 = sdtpldt0(sK0,sz00)
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f28303,plain,
    ( sdtpldt0(sK0,sz00) = sdtpldt0(sK1,sdtpldt0(sK0,sK0))
    | ~ spl3_1208
    | ~ spl3_1272 ),
    inference(forward_demodulation,[],[f28301,f26227]) ).

fof(f28301,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,sK1))
    | ~ spl3_1272 ),
    inference(avatar_component_clause,[],[f28299]) ).

fof(f28302,plain,
    ( spl3_1272
    | ~ spl3_2
    | ~ spl3_263
    | ~ spl3_1099 ),
    inference(avatar_split_clause,[],[f25642,f25638,f3966,f117,f28299]) ).

fof(f3966,plain,
    ( spl3_263
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_263])]) ).

fof(f25638,plain,
    ( spl3_1099
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1099])]) ).

fof(f25642,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_263
    | ~ spl3_1099 ),
    inference(forward_demodulation,[],[f25640,f4382]) ).

fof(f4382,plain,
    ( sdtpldt0(sdtpldt0(sK0,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_263 ),
    inference(resolution,[],[f3967,f119]) ).

fof(f3967,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK1)) )
    | ~ spl3_263 ),
    inference(avatar_component_clause,[],[f3966]) ).

fof(f25640,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_1099 ),
    inference(avatar_component_clause,[],[f25638]) ).

fof(f28297,plain,
    ( spl3_1271
    | ~ spl3_2
    | ~ spl3_262
    | ~ spl3_1098 ),
    inference(avatar_split_clause,[],[f25636,f25632,f3962,f117,f28294]) ).

fof(f28294,plain,
    ( spl3_1271
  <=> sdtpldt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1271])]) ).

fof(f25632,plain,
    ( spl3_1098
  <=> sdtpldt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1098])]) ).

fof(f25636,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_262
    | ~ spl3_1098 ),
    inference(forward_demodulation,[],[f25634,f4360]) ).

fof(f4360,plain,
    ( sdtpldt0(sdtpldt0(sK0,xm),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_262 ),
    inference(resolution,[],[f3963,f119]) ).

fof(f25634,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,xm),sK0)
    | ~ spl3_1098 ),
    inference(avatar_component_clause,[],[f25632]) ).

fof(f28292,plain,
    ( spl3_1270
    | ~ spl3_2
    | ~ spl3_261
    | ~ spl3_1097 ),
    inference(avatar_split_clause,[],[f25630,f25626,f3958,f117,f28289]) ).

fof(f28289,plain,
    ( spl3_1270
  <=> sdtpldt0(sz10,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1270])]) ).

fof(f3958,plain,
    ( spl3_261
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_261])]) ).

fof(f25626,plain,
    ( spl3_1097
  <=> sdtpldt0(sz10,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sz10),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1097])]) ).

fof(f25630,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK0)) = sdtpldt0(sK0,sdtpldt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_261
    | ~ spl3_1097 ),
    inference(forward_demodulation,[],[f25628,f4341]) ).

fof(f4341,plain,
    ( sdtpldt0(sdtpldt0(sK0,sz10),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_261 ),
    inference(resolution,[],[f3959,f119]) ).

fof(f3959,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sz10)) )
    | ~ spl3_261 ),
    inference(avatar_component_clause,[],[f3958]) ).

fof(f25628,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sz10),sK0)
    | ~ spl3_1097 ),
    inference(avatar_component_clause,[],[f25626]) ).

fof(f28233,plain,
    ( spl3_1269
    | ~ spl3_8
    | ~ spl3_259
    | ~ spl3_1090 ),
    inference(avatar_split_clause,[],[f25594,f25590,f3950,f147,f28230]) ).

fof(f28230,plain,
    ( spl3_1269
  <=> sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(xm,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1269])]) ).

fof(f147,plain,
    ( spl3_8
  <=> aNaturalNumber0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f3950,plain,
    ( spl3_259
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_259])]) ).

fof(f25590,plain,
    ( spl3_1090
  <=> sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1090])]) ).

fof(f25594,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(xm,sdtasdt0(sK1,xn))
    | ~ spl3_8
    | ~ spl3_259
    | ~ spl3_1090 ),
    inference(forward_demodulation,[],[f25592,f4300]) ).

fof(f4300,plain,
    ( sdtasdt0(sdtasdt0(xm,xn),sK1) = sdtasdt0(xm,sdtasdt0(sK1,xn))
    | ~ spl3_8
    | ~ spl3_259 ),
    inference(resolution,[],[f3951,f149]) ).

fof(f149,plain,
    ( aNaturalNumber0(xm)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f3951,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xn),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xn)) )
    | ~ spl3_259 ),
    inference(avatar_component_clause,[],[f3950]) ).

fof(f25592,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK1)
    | ~ spl3_1090 ),
    inference(avatar_component_clause,[],[f25590]) ).

fof(f28200,plain,
    ( spl3_1268
    | ~ spl3_1
    | ~ spl3_259
    | ~ spl3_1086 ),
    inference(avatar_split_clause,[],[f25573,f25569,f3950,f112,f28197]) ).

fof(f28197,plain,
    ( spl3_1268
  <=> sdtasdt0(xn,sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1268])]) ).

fof(f25569,plain,
    ( spl3_1086
  <=> sdtasdt0(xn,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1086])]) ).

fof(f25573,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtasdt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_259
    | ~ spl3_1086 ),
    inference(forward_demodulation,[],[f25571,f4303]) ).

fof(f4303,plain,
    ( sdtasdt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_259 ),
    inference(resolution,[],[f3951,f114]) ).

fof(f25571,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xn),sK1)
    | ~ spl3_1086 ),
    inference(avatar_component_clause,[],[f25569]) ).

fof(f28195,plain,
    ( spl3_1267
    | ~ spl3_1
    | ~ spl3_258
    | ~ spl3_1085 ),
    inference(avatar_split_clause,[],[f25567,f25563,f3946,f112,f28192]) ).

fof(f28192,plain,
    ( spl3_1267
  <=> sdtasdt0(xm,sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1267])]) ).

fof(f3946,plain,
    ( spl3_258
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_258])]) ).

fof(f25563,plain,
    ( spl3_1085
  <=> sdtasdt0(xm,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1085])]) ).

fof(f25567,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtasdt0(sK1,xm))
    | ~ spl3_1
    | ~ spl3_258
    | ~ spl3_1085 ),
    inference(forward_demodulation,[],[f25565,f4284]) ).

fof(f4284,plain,
    ( sdtasdt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,xm))
    | ~ spl3_1
    | ~ spl3_258 ),
    inference(resolution,[],[f3947,f114]) ).

fof(f3947,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xm),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xm)) )
    | ~ spl3_258 ),
    inference(avatar_component_clause,[],[f3946]) ).

fof(f25565,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xm),sK1)
    | ~ spl3_1085 ),
    inference(avatar_component_clause,[],[f25563]) ).

fof(f28175,plain,
    ( spl3_1266
    | ~ spl3_2
    | ~ spl3_257
    | ~ spl3_1081 ),
    inference(avatar_split_clause,[],[f25546,f25542,f3942,f117,f28172]) ).

fof(f28172,plain,
    ( spl3_1266
  <=> sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sK0,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1266])]) ).

fof(f3942,plain,
    ( spl3_257
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sK1) = sdtasdt0(X0,sdtasdt0(sK1,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_257])]) ).

fof(f25542,plain,
    ( spl3_1081
  <=> sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1081])]) ).

fof(f25546,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sK0,sdtasdt0(sK1,sK1))
    | ~ spl3_2
    | ~ spl3_257
    | ~ spl3_1081 ),
    inference(forward_demodulation,[],[f25544,f4264]) ).

fof(f4264,plain,
    ( sdtasdt0(sdtasdt0(sK0,sK1),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,sK1))
    | ~ spl3_2
    | ~ spl3_257 ),
    inference(resolution,[],[f3943,f119]) ).

fof(f3943,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,sK1),sK1) = sdtasdt0(X0,sdtasdt0(sK1,sK1)) )
    | ~ spl3_257 ),
    inference(avatar_component_clause,[],[f3942]) ).

fof(f25544,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,sK1),sK1)
    | ~ spl3_1081 ),
    inference(avatar_component_clause,[],[f25542]) ).

fof(f28170,plain,
    ( spl3_1265
    | ~ spl3_2
    | ~ spl3_259
    | ~ spl3_1080 ),
    inference(avatar_split_clause,[],[f25540,f25536,f3950,f117,f28167]) ).

fof(f28167,plain,
    ( spl3_1265
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sK0,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1265])]) ).

fof(f25536,plain,
    ( spl3_1080
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1080])]) ).

fof(f25540,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sK0,sdtasdt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_259
    | ~ spl3_1080 ),
    inference(forward_demodulation,[],[f25538,f4302]) ).

fof(f4302,plain,
    ( sdtasdt0(sdtasdt0(sK0,xn),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_259 ),
    inference(resolution,[],[f3951,f119]) ).

fof(f25538,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xn),sK1)
    | ~ spl3_1080 ),
    inference(avatar_component_clause,[],[f25536]) ).

fof(f28165,plain,
    ( spl3_1264
    | ~ spl3_2
    | ~ spl3_258
    | ~ spl3_1079 ),
    inference(avatar_split_clause,[],[f25534,f25530,f3946,f117,f28162]) ).

fof(f28162,plain,
    ( spl3_1264
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sK0,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1264])]) ).

fof(f25530,plain,
    ( spl3_1079
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1079])]) ).

fof(f25534,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sK0,sdtasdt0(sK1,xm))
    | ~ spl3_2
    | ~ spl3_258
    | ~ spl3_1079 ),
    inference(forward_demodulation,[],[f25532,f4283]) ).

fof(f4283,plain,
    ( sdtasdt0(sdtasdt0(sK0,xm),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,xm))
    | ~ spl3_2
    | ~ spl3_258 ),
    inference(resolution,[],[f3947,f119]) ).

fof(f25532,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xm),sK1)
    | ~ spl3_1079 ),
    inference(avatar_component_clause,[],[f25530]) ).

fof(f28104,plain,
    ( spl3_1263
    | ~ spl3_1084
    | ~ spl3_1208 ),
    inference(avatar_split_clause,[],[f27928,f26225,f25558,f28101]) ).

fof(f28101,plain,
    ( spl3_1263
  <=> sK1 = sdtmndt0(sz00,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1263])]) ).

fof(f25558,plain,
    ( spl3_1084
  <=> sK1 = sdtmndt0(sdtpldt0(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1084])]) ).

fof(f27928,plain,
    ( sK1 = sdtmndt0(sz00,sK0)
    | ~ spl3_1084
    | ~ spl3_1208 ),
    inference(superposition,[],[f25560,f26227]) ).

fof(f25560,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_1084 ),
    inference(avatar_component_clause,[],[f25558]) ).

fof(f28049,plain,
    ( spl3_1262
    | ~ spl3_8
    | ~ spl3_254
    | ~ spl3_1068 ),
    inference(avatar_split_clause,[],[f25478,f25474,f3930,f147,f28046]) ).

fof(f28046,plain,
    ( spl3_1262
  <=> sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(xm,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1262])]) ).

fof(f3930,plain,
    ( spl3_254
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_254])]) ).

fof(f25474,plain,
    ( spl3_1068
  <=> sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1068])]) ).

fof(f25478,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(xm,sdtasdt0(sK0,xn))
    | ~ spl3_8
    | ~ spl3_254
    | ~ spl3_1068 ),
    inference(forward_demodulation,[],[f25476,f4194]) ).

fof(f4194,plain,
    ( sdtasdt0(sdtasdt0(xm,xn),sK0) = sdtasdt0(xm,sdtasdt0(sK0,xn))
    | ~ spl3_8
    | ~ spl3_254 ),
    inference(resolution,[],[f3931,f149]) ).

fof(f3931,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xn),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xn)) )
    | ~ spl3_254 ),
    inference(avatar_component_clause,[],[f3930]) ).

fof(f25476,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK0)
    | ~ spl3_1068 ),
    inference(avatar_component_clause,[],[f25474]) ).

fof(f28009,plain,
    ( spl3_1261
    | ~ spl3_2
    | ~ spl3_255
    | ~ spl3_1064 ),
    inference(avatar_split_clause,[],[f25457,f25453,f3934,f117,f28006]) ).

fof(f28006,plain,
    ( spl3_1261
  <=> sdtasdt0(sK1,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1261])]) ).

fof(f3934,plain,
    ( spl3_255
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_255])]) ).

fof(f25453,plain,
    ( spl3_1064
  <=> sdtasdt0(sK1,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1064])]) ).

fof(f25457,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_255
    | ~ spl3_1064 ),
    inference(forward_demodulation,[],[f25455,f4214]) ).

fof(f4214,plain,
    ( sdtasdt0(sdtasdt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_255 ),
    inference(resolution,[],[f3935,f119]) ).

fof(f3935,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,sK1),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK1)) )
    | ~ spl3_255 ),
    inference(avatar_component_clause,[],[f3934]) ).

fof(f25455,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,sK1),sK0)
    | ~ spl3_1064 ),
    inference(avatar_component_clause,[],[f25453]) ).

fof(f28004,plain,
    ( spl3_1260
    | ~ spl3_2
    | ~ spl3_254
    | ~ spl3_1063 ),
    inference(avatar_split_clause,[],[f25451,f25447,f3930,f117,f28001]) ).

fof(f28001,plain,
    ( spl3_1260
  <=> sdtasdt0(xn,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1260])]) ).

fof(f25447,plain,
    ( spl3_1063
  <=> sdtasdt0(xn,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1063])]) ).

fof(f25451,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,xn))
    | ~ spl3_2
    | ~ spl3_254
    | ~ spl3_1063 ),
    inference(forward_demodulation,[],[f25449,f4196]) ).

fof(f4196,plain,
    ( sdtasdt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,xn))
    | ~ spl3_2
    | ~ spl3_254 ),
    inference(resolution,[],[f3931,f119]) ).

fof(f25449,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xn),sK0)
    | ~ spl3_1063 ),
    inference(avatar_component_clause,[],[f25447]) ).

fof(f27999,plain,
    ( spl3_1259
    | ~ spl3_1073
    | ~ spl3_1208 ),
    inference(avatar_split_clause,[],[f27927,f26225,f25500,f27996]) ).

fof(f27996,plain,
    ( spl3_1259
  <=> sK0 = sdtmndt0(sz00,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1259])]) ).

fof(f25500,plain,
    ( spl3_1073
  <=> sK0 = sdtmndt0(sdtpldt0(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1073])]) ).

fof(f27927,plain,
    ( sK0 = sdtmndt0(sz00,sK1)
    | ~ spl3_1073
    | ~ spl3_1208 ),
    inference(superposition,[],[f25502,f26227]) ).

fof(f25502,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1073 ),
    inference(avatar_component_clause,[],[f25500]) ).

fof(f27994,plain,
    ( spl3_1258
    | ~ spl3_2
    | ~ spl3_252
    | ~ spl3_1061 ),
    inference(avatar_split_clause,[],[f25440,f25436,f3921,f117,f27991]) ).

fof(f27991,plain,
    ( spl3_1258
  <=> sdtasdt0(xm,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1258])]) ).

fof(f3921,plain,
    ( spl3_252
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_252])]) ).

fof(f25436,plain,
    ( spl3_1061
  <=> sdtasdt0(xm,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1061])]) ).

fof(f25440,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtasdt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_252
    | ~ spl3_1061 ),
    inference(forward_demodulation,[],[f25438,f4177]) ).

fof(f4177,plain,
    ( sdtasdt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_252 ),
    inference(resolution,[],[f3922,f119]) ).

fof(f3922,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xm),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xm)) )
    | ~ spl3_252 ),
    inference(avatar_component_clause,[],[f3921]) ).

fof(f25438,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xm),sK0)
    | ~ spl3_1061 ),
    inference(avatar_component_clause,[],[f25436]) ).

fof(f27982,plain,
    ( spl3_1257
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_650 ),
    inference(avatar_split_clause,[],[f12247,f11700,f479,f112,f27979]) ).

fof(f27979,plain,
    ( spl3_1257
  <=> sdtpldt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sK1,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1257])]) ).

fof(f479,plain,
    ( spl3_46
  <=> sK1 = sdtasdt0(sK1,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).

fof(f11700,plain,
    ( spl3_650
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_650])]) ).

fof(f12247,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sK1,sdtpldt0(sz10,xn))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_650 ),
    inference(forward_demodulation,[],[f12234,f481]) ).

fof(f481,plain,
    ( sK1 = sdtasdt0(sK1,sz10)
    | ~ spl3_46 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f12234,plain,
    ( sdtasdt0(sK1,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_650 ),
    inference(resolution,[],[f11701,f114]) ).

fof(f11701,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10)) )
    | ~ spl3_650 ),
    inference(avatar_component_clause,[],[f11700]) ).

fof(f27977,plain,
    ( spl3_1256
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_650 ),
    inference(avatar_split_clause,[],[f12246,f11700,f474,f117,f27974]) ).

fof(f27974,plain,
    ( spl3_1256
  <=> sdtpldt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sK0,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1256])]) ).

fof(f474,plain,
    ( spl3_45
  <=> sK0 = sdtasdt0(sK0,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f12246,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sK0,sdtpldt0(sz10,xn))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_650 ),
    inference(forward_demodulation,[],[f12233,f476]) ).

fof(f476,plain,
    ( sK0 = sdtasdt0(sK0,sz10)
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f12233,plain,
    ( sdtasdt0(sK0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_650 ),
    inference(resolution,[],[f11701,f119]) ).

fof(f27972,plain,
    ( spl3_1255
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_649 ),
    inference(avatar_split_clause,[],[f12221,f11696,f479,f112,f27969]) ).

fof(f27969,plain,
    ( spl3_1255
  <=> sdtpldt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sK1,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1255])]) ).

fof(f11696,plain,
    ( spl3_649
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_649])]) ).

fof(f12221,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sK1,sdtpldt0(sz10,xm))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_649 ),
    inference(forward_demodulation,[],[f12207,f481]) ).

fof(f12207,plain,
    ( sdtasdt0(sK1,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_649 ),
    inference(resolution,[],[f11697,f114]) ).

fof(f11697,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10)) )
    | ~ spl3_649 ),
    inference(avatar_component_clause,[],[f11696]) ).

fof(f27967,plain,
    ( spl3_1254
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_649 ),
    inference(avatar_split_clause,[],[f12220,f11696,f474,f117,f27964]) ).

fof(f27964,plain,
    ( spl3_1254
  <=> sdtpldt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sK0,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1254])]) ).

fof(f12220,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sK0,sdtpldt0(sz10,xm))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_649 ),
    inference(forward_demodulation,[],[f12206,f476]) ).

fof(f12206,plain,
    ( sdtasdt0(sK0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_649 ),
    inference(resolution,[],[f11697,f119]) ).

fof(f27962,plain,
    ( spl3_1253
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_634 ),
    inference(avatar_split_clause,[],[f11906,f11624,f479,f112,f27959]) ).

fof(f27959,plain,
    ( spl3_1253
  <=> sdtpldt0(sK1,sdtasdt0(sK1,xn)) = sdtasdt0(sK1,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1253])]) ).

fof(f11624,plain,
    ( spl3_634
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_634])]) ).

fof(f11906,plain,
    ( sdtpldt0(sK1,sdtasdt0(sK1,xn)) = sdtasdt0(sK1,sdtpldt0(sz10,xn))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_634 ),
    inference(forward_demodulation,[],[f11894,f481]) ).

fof(f11894,plain,
    ( sdtasdt0(sK1,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_634 ),
    inference(resolution,[],[f11625,f114]) ).

fof(f11625,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn)) )
    | ~ spl3_634 ),
    inference(avatar_component_clause,[],[f11624]) ).

fof(f27957,plain,
    ( spl3_1252
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_634 ),
    inference(avatar_split_clause,[],[f11905,f11624,f474,f117,f27954]) ).

fof(f27954,plain,
    ( spl3_1252
  <=> sdtpldt0(sK0,sdtasdt0(sK0,xn)) = sdtasdt0(sK0,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1252])]) ).

fof(f11905,plain,
    ( sdtpldt0(sK0,sdtasdt0(sK0,xn)) = sdtasdt0(sK0,sdtpldt0(sz10,xn))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_634 ),
    inference(forward_demodulation,[],[f11893,f476]) ).

fof(f11893,plain,
    ( sdtasdt0(sK0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(sK0,sz10),sdtasdt0(sK0,xn))
    | ~ spl3_2
    | ~ spl3_634 ),
    inference(resolution,[],[f11625,f119]) ).

fof(f27952,plain,
    ( spl3_1251
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_631 ),
    inference(avatar_split_clause,[],[f11842,f11612,f479,f112,f27949]) ).

fof(f27949,plain,
    ( spl3_1251
  <=> sdtpldt0(sK1,sdtasdt0(sK1,xm)) = sdtasdt0(sK1,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1251])]) ).

fof(f11612,plain,
    ( spl3_631
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_631])]) ).

fof(f11842,plain,
    ( sdtpldt0(sK1,sdtasdt0(sK1,xm)) = sdtasdt0(sK1,sdtpldt0(sz10,xm))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_631 ),
    inference(forward_demodulation,[],[f11829,f481]) ).

fof(f11829,plain,
    ( sdtasdt0(sK1,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK1,xm))
    | ~ spl3_1
    | ~ spl3_631 ),
    inference(resolution,[],[f11613,f114]) ).

fof(f11613,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm)) )
    | ~ spl3_631 ),
    inference(avatar_component_clause,[],[f11612]) ).

fof(f27947,plain,
    ( spl3_1250
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_631 ),
    inference(avatar_split_clause,[],[f11841,f11612,f474,f117,f27944]) ).

fof(f27944,plain,
    ( spl3_1250
  <=> sdtpldt0(sK0,sdtasdt0(sK0,xm)) = sdtasdt0(sK0,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1250])]) ).

fof(f11841,plain,
    ( sdtpldt0(sK0,sdtasdt0(sK0,xm)) = sdtasdt0(sK0,sdtpldt0(sz10,xm))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_631 ),
    inference(forward_demodulation,[],[f11828,f476]) ).

fof(f11828,plain,
    ( sdtasdt0(sK0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(sK0,sz10),sdtasdt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_631 ),
    inference(resolution,[],[f11613,f119]) ).

fof(f27915,plain,
    ( spl3_1249
    | ~ spl3_1
    | ~ spl3_603 ),
    inference(avatar_split_clause,[],[f11198,f11153,f112,f27912]) ).

fof(f27912,plain,
    ( spl3_1249
  <=> sdtpldt0(sdtpldt0(sK1,sz10),sz10) = sdtpldt0(sK1,sdtpldt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1249])]) ).

fof(f11153,plain,
    ( spl3_603
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_603])]) ).

fof(f11198,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),sz10) = sdtpldt0(sK1,sdtpldt0(sz10,sz10))
    | ~ spl3_1
    | ~ spl3_603 ),
    inference(resolution,[],[f11154,f114]) ).

fof(f11154,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10)) )
    | ~ spl3_603 ),
    inference(avatar_component_clause,[],[f11153]) ).

fof(f27910,plain,
    ( spl3_1248
    | ~ spl3_2
    | ~ spl3_603 ),
    inference(avatar_split_clause,[],[f11197,f11153,f117,f27907]) ).

fof(f27907,plain,
    ( spl3_1248
  <=> sdtpldt0(sdtpldt0(sK0,sz10),sz10) = sdtpldt0(sK0,sdtpldt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1248])]) ).

fof(f11197,plain,
    ( sdtpldt0(sdtpldt0(sK0,sz10),sz10) = sdtpldt0(sK0,sdtpldt0(sz10,sz10))
    | ~ spl3_2
    | ~ spl3_603 ),
    inference(resolution,[],[f11154,f119]) ).

fof(f27905,plain,
    ( spl3_1247
    | ~ spl3_1
    | ~ spl3_590 ),
    inference(avatar_split_clause,[],[f10820,f10542,f112,f27902]) ).

fof(f27902,plain,
    ( spl3_1247
  <=> sdtpldt0(sdtpldt0(sK1,xn),sz10) = sdtpldt0(sK1,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1247])]) ).

fof(f10542,plain,
    ( spl3_590
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_590])]) ).

fof(f10820,plain,
    ( sdtpldt0(sdtpldt0(sK1,xn),sz10) = sdtpldt0(sK1,sdtpldt0(sz10,xn))
    | ~ spl3_1
    | ~ spl3_590 ),
    inference(resolution,[],[f10543,f114]) ).

fof(f10543,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtpldt0(X0,xn),sz10) )
    | ~ spl3_590 ),
    inference(avatar_component_clause,[],[f10542]) ).

fof(f27900,plain,
    ( spl3_1246
    | ~ spl3_2
    | ~ spl3_589 ),
    inference(avatar_split_clause,[],[f10798,f10532,f117,f27897]) ).

fof(f27897,plain,
    ( spl3_1246
  <=> sdtpldt0(sdtpldt0(sK0,xm),sz10) = sdtpldt0(sK0,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1246])]) ).

fof(f10532,plain,
    ( spl3_589
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_589])]) ).

fof(f10798,plain,
    ( sdtpldt0(sdtpldt0(sK0,xm),sz10) = sdtpldt0(sK0,sdtpldt0(sz10,xm))
    | ~ spl3_2
    | ~ spl3_589 ),
    inference(resolution,[],[f10533,f119]) ).

fof(f10533,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtpldt0(X0,xm),sz10) )
    | ~ spl3_589 ),
    inference(avatar_component_clause,[],[f10532]) ).

fof(f27895,plain,
    ( spl3_1245
    | ~ spl3_1
    | ~ spl3_588 ),
    inference(avatar_split_clause,[],[f10782,f10528,f112,f27892]) ).

fof(f27892,plain,
    ( spl3_1245
  <=> sdtpldt0(sdtpldt0(sK1,xn),xn) = sdtpldt0(sK1,sdtpldt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1245])]) ).

fof(f10528,plain,
    ( spl3_588
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_588])]) ).

fof(f10782,plain,
    ( sdtpldt0(sdtpldt0(sK1,xn),xn) = sdtpldt0(sK1,sdtpldt0(xn,xn))
    | ~ spl3_1
    | ~ spl3_588 ),
    inference(resolution,[],[f10529,f114]) ).

fof(f10529,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn)) )
    | ~ spl3_588 ),
    inference(avatar_component_clause,[],[f10528]) ).

fof(f27890,plain,
    ( spl3_1244
    | ~ spl3_1
    | ~ spl3_586 ),
    inference(avatar_split_clause,[],[f10743,f10520,f112,f27887]) ).

fof(f27887,plain,
    ( spl3_1244
  <=> sdtpldt0(sdtpldt0(sK1,sz10),xn) = sdtpldt0(sK1,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1244])]) ).

fof(f10520,plain,
    ( spl3_586
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(sz10,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_586])]) ).

fof(f10743,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),xn) = sdtpldt0(sK1,sdtpldt0(sz10,xn))
    | ~ spl3_1
    | ~ spl3_586 ),
    inference(resolution,[],[f10521,f114]) ).

fof(f10521,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(sz10,xn)) )
    | ~ spl3_586 ),
    inference(avatar_component_clause,[],[f10520]) ).

fof(f27885,plain,
    ( spl3_1243
    | ~ spl3_2
    | ~ spl3_584 ),
    inference(avatar_split_clause,[],[f10696,f10512,f117,f27882]) ).

fof(f27882,plain,
    ( spl3_1243
  <=> sdtpldt0(sdtpldt0(sK0,xm),xm) = sdtpldt0(sK0,sdtpldt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1243])]) ).

fof(f10512,plain,
    ( spl3_584
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_584])]) ).

fof(f10696,plain,
    ( sdtpldt0(sdtpldt0(sK0,xm),xm) = sdtpldt0(sK0,sdtpldt0(xm,xm))
    | ~ spl3_2
    | ~ spl3_584 ),
    inference(resolution,[],[f10513,f119]) ).

fof(f10513,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm)) )
    | ~ spl3_584 ),
    inference(avatar_component_clause,[],[f10512]) ).

fof(f27880,plain,
    ( spl3_1242
    | ~ spl3_2
    | ~ spl3_583 ),
    inference(avatar_split_clause,[],[f10677,f10508,f117,f27877]) ).

fof(f27877,plain,
    ( spl3_1242
  <=> sdtpldt0(sdtpldt0(sK0,sz10),xm) = sdtpldt0(sK0,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1242])]) ).

fof(f10508,plain,
    ( spl3_583
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_583])]) ).

fof(f10677,plain,
    ( sdtpldt0(sdtpldt0(sK0,sz10),xm) = sdtpldt0(sK0,sdtpldt0(sz10,xm))
    | ~ spl3_2
    | ~ spl3_583 ),
    inference(resolution,[],[f10509,f119]) ).

fof(f10509,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm)) )
    | ~ spl3_583 ),
    inference(avatar_component_clause,[],[f10508]) ).

fof(f27875,plain,
    ( spl3_1241
    | ~ spl3_1
    | ~ spl3_582 ),
    inference(avatar_split_clause,[],[f10661,f10504,f112,f27872]) ).

fof(f27872,plain,
    ( spl3_1241
  <=> sdtasdt0(sdtasdt0(sK1,xn),xn) = sdtasdt0(sK1,sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1241])]) ).

fof(f10504,plain,
    ( spl3_582
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_582])]) ).

fof(f10661,plain,
    ( sdtasdt0(sdtasdt0(sK1,xn),xn) = sdtasdt0(sK1,sdtasdt0(xn,xn))
    | ~ spl3_1
    | ~ spl3_582 ),
    inference(resolution,[],[f10505,f114]) ).

fof(f10505,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn)) )
    | ~ spl3_582 ),
    inference(avatar_component_clause,[],[f10504]) ).

fof(f27870,plain,
    ( spl3_1240
    | ~ spl3_2
    | ~ spl3_582 ),
    inference(avatar_split_clause,[],[f10660,f10504,f117,f27867]) ).

fof(f27867,plain,
    ( spl3_1240
  <=> sdtasdt0(sdtasdt0(sK0,xn),xn) = sdtasdt0(sK0,sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1240])]) ).

fof(f10660,plain,
    ( sdtasdt0(sdtasdt0(sK0,xn),xn) = sdtasdt0(sK0,sdtasdt0(xn,xn))
    | ~ spl3_2
    | ~ spl3_582 ),
    inference(resolution,[],[f10505,f119]) ).

fof(f26400,plain,
    ( spl3_1239
    | ~ spl3_1
    | ~ spl3_581 ),
    inference(avatar_split_clause,[],[f10643,f10500,f112,f26397]) ).

fof(f26397,plain,
    ( spl3_1239
  <=> sdtasdt0(sdtasdt0(sK1,xm),xn) = sdtasdt0(sK1,sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1239])]) ).

fof(f10500,plain,
    ( spl3_581
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_581])]) ).

fof(f10643,plain,
    ( sdtasdt0(sdtasdt0(sK1,xm),xn) = sdtasdt0(sK1,sdtasdt0(xm,xn))
    | ~ spl3_1
    | ~ spl3_581 ),
    inference(resolution,[],[f10501,f114]) ).

fof(f10501,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(X0,xm),xn) )
    | ~ spl3_581 ),
    inference(avatar_component_clause,[],[f10500]) ).

fof(f26395,plain,
    ( spl3_1238
    | ~ spl3_2
    | ~ spl3_581 ),
    inference(avatar_split_clause,[],[f10642,f10500,f117,f26392]) ).

fof(f26392,plain,
    ( spl3_1238
  <=> sdtasdt0(sdtasdt0(sK0,xm),xn) = sdtasdt0(sK0,sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1238])]) ).

fof(f10642,plain,
    ( sdtasdt0(sdtasdt0(sK0,xm),xn) = sdtasdt0(sK0,sdtasdt0(xm,xn))
    | ~ spl3_2
    | ~ spl3_581 ),
    inference(resolution,[],[f10501,f119]) ).

fof(f26390,plain,
    ( spl3_1237
    | ~ spl3_1
    | ~ spl3_580 ),
    inference(avatar_split_clause,[],[f10625,f10496,f112,f26387]) ).

fof(f26387,plain,
    ( spl3_1237
  <=> sdtasdt0(sdtasdt0(sK1,xn),xm) = sdtasdt0(sK1,sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1237])]) ).

fof(f10496,plain,
    ( spl3_580
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_580])]) ).

fof(f10625,plain,
    ( sdtasdt0(sdtasdt0(sK1,xn),xm) = sdtasdt0(sK1,sdtasdt0(xm,xn))
    | ~ spl3_1
    | ~ spl3_580 ),
    inference(resolution,[],[f10497,f114]) ).

fof(f10497,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
    | ~ spl3_580 ),
    inference(avatar_component_clause,[],[f10496]) ).

fof(f26385,plain,
    ( spl3_1236
    | ~ spl3_2
    | ~ spl3_580 ),
    inference(avatar_split_clause,[],[f10624,f10496,f117,f26382]) ).

fof(f26382,plain,
    ( spl3_1236
  <=> sdtasdt0(sdtasdt0(sK0,xn),xm) = sdtasdt0(sK0,sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1236])]) ).

fof(f10624,plain,
    ( sdtasdt0(sdtasdt0(sK0,xn),xm) = sdtasdt0(sK0,sdtasdt0(xm,xn))
    | ~ spl3_2
    | ~ spl3_580 ),
    inference(resolution,[],[f10497,f119]) ).

fof(f26380,plain,
    ( spl3_1235
    | ~ spl3_1
    | ~ spl3_578 ),
    inference(avatar_split_clause,[],[f10607,f10487,f112,f26377]) ).

fof(f26377,plain,
    ( spl3_1235
  <=> sdtasdt0(sdtasdt0(sK1,xm),xm) = sdtasdt0(sK1,sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1235])]) ).

fof(f10487,plain,
    ( spl3_578
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_578])]) ).

fof(f10607,plain,
    ( sdtasdt0(sdtasdt0(sK1,xm),xm) = sdtasdt0(sK1,sdtasdt0(xm,xm))
    | ~ spl3_1
    | ~ spl3_578 ),
    inference(resolution,[],[f10488,f114]) ).

fof(f10488,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm)) )
    | ~ spl3_578 ),
    inference(avatar_component_clause,[],[f10487]) ).

fof(f26375,plain,
    ( spl3_1234
    | ~ spl3_2
    | ~ spl3_578 ),
    inference(avatar_split_clause,[],[f10606,f10487,f117,f26372]) ).

fof(f26372,plain,
    ( spl3_1234
  <=> sdtasdt0(sdtasdt0(sK0,xm),xm) = sdtasdt0(sK0,sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1234])]) ).

fof(f10606,plain,
    ( sdtasdt0(sdtasdt0(sK0,xm),xm) = sdtasdt0(sK0,sdtasdt0(xm,xm))
    | ~ spl3_2
    | ~ spl3_578 ),
    inference(resolution,[],[f10488,f119]) ).

fof(f26370,plain,
    ( spl3_1233
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_361 ),
    inference(avatar_split_clause,[],[f6278,f5349,f479,f112,f26367]) ).

fof(f26367,plain,
    ( spl3_1233
  <=> sdtpldt0(sdtasdt0(sK1,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1233])]) ).

fof(f5349,plain,
    ( spl3_361
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_361])]) ).

fof(f6278,plain,
    ( sdtpldt0(sdtasdt0(sK1,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6264,f481]) ).

fof(f6264,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_361 ),
    inference(resolution,[],[f5350,f114]) ).

fof(f5350,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz10)) )
    | ~ spl3_361 ),
    inference(avatar_component_clause,[],[f5349]) ).

fof(f26365,plain,
    ( spl3_1232
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_361 ),
    inference(avatar_split_clause,[],[f6277,f5349,f474,f117,f26362]) ).

fof(f26362,plain,
    ( spl3_1232
  <=> sdtpldt0(sdtasdt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1232])]) ).

fof(f6277,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6263,f476]) ).

fof(f6263,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_361 ),
    inference(resolution,[],[f5350,f119]) ).

fof(f26360,plain,
    ( spl3_1231
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_156
    | ~ spl3_361 ),
    inference(avatar_split_clause,[],[f6276,f5349,f1933,f962,f152,f26357]) ).

fof(f26357,plain,
    ( spl3_1231
  <=> sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK1,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1231])]) ).

fof(f152,plain,
    ( spl3_9
  <=> aNaturalNumber0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f962,plain,
    ( spl3_85
  <=> xn = sdtasdt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f1933,plain,
    ( spl3_156
  <=> sdtasdt0(xn,sK1) = sdtasdt0(sK1,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_156])]) ).

fof(f6276,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_156
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6275,f1935]) ).

fof(f1935,plain,
    ( sdtasdt0(xn,sK1) = sdtasdt0(sK1,xn)
    | ~ spl3_156 ),
    inference(avatar_component_clause,[],[f1933]) ).

fof(f6275,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xn,sK1),xn)
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6262,f964]) ).

fof(f964,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl3_85 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f6262,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(xn,sz10))
    | ~ spl3_9
    | ~ spl3_361 ),
    inference(resolution,[],[f5350,f154]) ).

fof(f154,plain,
    ( aNaturalNumber0(xn)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f26355,plain,
    ( spl3_1230
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_151
    | ~ spl3_361 ),
    inference(avatar_split_clause,[],[f6274,f5349,f1851,f957,f147,f26352]) ).

fof(f26352,plain,
    ( spl3_1230
  <=> sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK1,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1230])]) ).

fof(f957,plain,
    ( spl3_84
  <=> xm = sdtasdt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).

fof(f1851,plain,
    ( spl3_151
  <=> sdtasdt0(xm,sK1) = sdtasdt0(sK1,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_151])]) ).

fof(f6274,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(sK1,xm),xm)
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_151
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6273,f1853]) ).

fof(f1853,plain,
    ( sdtasdt0(xm,sK1) = sdtasdt0(sK1,xm)
    | ~ spl3_151 ),
    inference(avatar_component_clause,[],[f1851]) ).

fof(f6273,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xm,sK1),xm)
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_361 ),
    inference(forward_demodulation,[],[f6261,f959]) ).

fof(f959,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl3_84 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f6261,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(xm,sz10))
    | ~ spl3_8
    | ~ spl3_361 ),
    inference(resolution,[],[f5350,f149]) ).

fof(f26338,plain,
    ( ~ spl3_2
    | ~ spl3_1
    | ~ spl3_21
    | spl3_1209 ),
    inference(avatar_split_clause,[],[f26284,f26229,f241,f112,f117]) ).

fof(f241,plain,
    ( spl3_21
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f26284,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_21
    | spl3_1209 ),
    inference(resolution,[],[f26231,f242]) ).

fof(f242,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f26231,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
    | spl3_1209 ),
    inference(avatar_component_clause,[],[f26229]) ).

fof(f26337,plain,
    ( spl3_1229
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_143
    | ~ spl3_360 ),
    inference(avatar_split_clause,[],[f6250,f5345,f1794,f479,f112,f26334]) ).

fof(f26334,plain,
    ( spl3_1229
  <=> sdtpldt0(sdtasdt0(sK0,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1229])]) ).

fof(f1794,plain,
    ( spl3_143
  <=> sdtasdt0(sK1,sK0) = sdtasdt0(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_143])]) ).

fof(f5345,plain,
    ( spl3_360
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_360])]) ).

fof(f6250,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(sK0,sz10))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_143
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6249,f1796]) ).

fof(f1796,plain,
    ( sdtasdt0(sK1,sK0) = sdtasdt0(sK0,sK1)
    | ~ spl3_143 ),
    inference(avatar_component_clause,[],[f1794]) ).

fof(f6249,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK1,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6235,f481]) ).

fof(f6235,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK1,sK0),sdtasdt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_360 ),
    inference(resolution,[],[f5346,f114]) ).

fof(f5346,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz10)) )
    | ~ spl3_360 ),
    inference(avatar_component_clause,[],[f5345]) ).

fof(f26332,plain,
    ( spl3_1228
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_360 ),
    inference(avatar_split_clause,[],[f6248,f5345,f474,f117,f26329]) ).

fof(f26329,plain,
    ( spl3_1228
  <=> sdtpldt0(sdtasdt0(sK0,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1228])]) ).

fof(f6248,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6234,f476]) ).

fof(f6234,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_360 ),
    inference(resolution,[],[f5346,f119]) ).

fof(f26327,plain,
    ( spl3_1227
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_137
    | ~ spl3_360 ),
    inference(avatar_split_clause,[],[f6247,f5345,f1674,f962,f152,f26324]) ).

fof(f26324,plain,
    ( spl3_1227
  <=> sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK0,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1227])]) ).

fof(f1674,plain,
    ( spl3_137
  <=> sdtasdt0(xn,sK0) = sdtasdt0(sK0,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).

fof(f6247,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK0,xn),xn)
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_137
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6246,f1676]) ).

fof(f1676,plain,
    ( sdtasdt0(xn,sK0) = sdtasdt0(sK0,xn)
    | ~ spl3_137 ),
    inference(avatar_component_clause,[],[f1674]) ).

fof(f6246,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xn,sK0),xn)
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6233,f964]) ).

fof(f6233,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xn,sK0),sdtasdt0(xn,sz10))
    | ~ spl3_9
    | ~ spl3_360 ),
    inference(resolution,[],[f5346,f154]) ).

fof(f26322,plain,
    ( spl3_1226
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_131
    | ~ spl3_360 ),
    inference(avatar_split_clause,[],[f6245,f5345,f1589,f957,f147,f26319]) ).

fof(f26319,plain,
    ( spl3_1226
  <=> sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK0,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1226])]) ).

fof(f1589,plain,
    ( spl3_131
  <=> sdtasdt0(xm,sK0) = sdtasdt0(sK0,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).

fof(f6245,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_131
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6244,f1591]) ).

fof(f1591,plain,
    ( sdtasdt0(xm,sK0) = sdtasdt0(sK0,xm)
    | ~ spl3_131 ),
    inference(avatar_component_clause,[],[f1589]) ).

fof(f6244,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xm,sK0),xm)
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_360 ),
    inference(forward_demodulation,[],[f6232,f959]) ).

fof(f6232,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xm,sK0),sdtasdt0(xm,sz10))
    | ~ spl3_8
    | ~ spl3_360 ),
    inference(resolution,[],[f5346,f149]) ).

fof(f26317,plain,
    ( spl3_1225
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_332
    | ~ spl3_350 ),
    inference(avatar_split_clause,[],[f6061,f5304,f5230,f1933,f152,f26314]) ).

fof(f26314,plain,
    ( spl3_1225
  <=> sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(xn,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1225])]) ).

fof(f5230,plain,
    ( spl3_332
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_332])]) ).

fof(f5304,plain,
    ( spl3_350
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_350])]) ).

fof(f6061,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(xn,xn),sK1)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_332
    | ~ spl3_350 ),
    inference(forward_demodulation,[],[f6060,f5612]) ).

fof(f5612,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_332 ),
    inference(forward_demodulation,[],[f5602,f1935]) ).

fof(f5602,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(xn,sK1))
    | ~ spl3_9
    | ~ spl3_332 ),
    inference(resolution,[],[f5231,f154]) ).

fof(f5231,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK1)) )
    | ~ spl3_332 ),
    inference(avatar_component_clause,[],[f5230]) ).

fof(f6060,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(xn,xn),sK1)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_350 ),
    inference(forward_demodulation,[],[f6049,f1935]) ).

fof(f6049,plain,
    ( sdtasdt0(sdtpldt0(xn,xn),sK1) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_350 ),
    inference(resolution,[],[f5305,f154]) ).

fof(f5305,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xn)) )
    | ~ spl3_350 ),
    inference(avatar_component_clause,[],[f5304]) ).

fof(f26311,plain,
    ( spl3_1224
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_350 ),
    inference(avatar_split_clause,[],[f6058,f5304,f489,f162,f26308]) ).

fof(f26308,plain,
    ( spl3_1224
  <=> sdtasdt0(sdtpldt0(sz10,xn),sK1) = sdtpldt0(sK1,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1224])]) ).

fof(f489,plain,
    ( spl3_48
  <=> sK1 = sdtasdt0(sz10,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f6058,plain,
    ( sdtasdt0(sdtpldt0(sz10,xn),sK1) = sdtpldt0(sK1,sdtasdt0(sK1,xn))
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_350 ),
    inference(forward_demodulation,[],[f6044,f491]) ).

fof(f491,plain,
    ( sK1 = sdtasdt0(sz10,sK1)
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f6044,plain,
    ( sdtasdt0(sdtpldt0(sz10,xn),sK1) = sdtpldt0(sdtasdt0(sz10,sK1),sdtasdt0(sK1,xn))
    | ~ spl3_11
    | ~ spl3_350 ),
    inference(resolution,[],[f5305,f164]) ).

fof(f26306,plain,
    ( spl3_1223
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_327
    | ~ spl3_349 ),
    inference(avatar_split_clause,[],[f6032,f5300,f5210,f1674,f152,f26303]) ).

fof(f26303,plain,
    ( spl3_1223
  <=> sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(xn,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1223])]) ).

fof(f5210,plain,
    ( spl3_327
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_327])]) ).

fof(f5300,plain,
    ( spl3_349
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_349])]) ).

fof(f6032,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(xn,xn),sK0)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_327
    | ~ spl3_349 ),
    inference(forward_demodulation,[],[f6031,f5485]) ).

fof(f5485,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_327 ),
    inference(forward_demodulation,[],[f5475,f1676]) ).

fof(f5475,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(xn,sK0),sdtasdt0(xn,sK0))
    | ~ spl3_9
    | ~ spl3_327 ),
    inference(resolution,[],[f5211,f154]) ).

fof(f5211,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sK0)) )
    | ~ spl3_327 ),
    inference(avatar_component_clause,[],[f5210]) ).

fof(f6031,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(xn,xn),sK0)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_349 ),
    inference(forward_demodulation,[],[f6020,f1676]) ).

fof(f6020,plain,
    ( sdtasdt0(sdtpldt0(xn,xn),sK0) = sdtpldt0(sdtasdt0(xn,sK0),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_349 ),
    inference(resolution,[],[f5301,f154]) ).

fof(f5301,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xn)) )
    | ~ spl3_349 ),
    inference(avatar_component_clause,[],[f5300]) ).

fof(f26300,plain,
    ( spl3_1222
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_349 ),
    inference(avatar_split_clause,[],[f6029,f5300,f484,f162,f26297]) ).

fof(f26297,plain,
    ( spl3_1222
  <=> sdtasdt0(sdtpldt0(sz10,xn),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1222])]) ).

fof(f484,plain,
    ( spl3_47
  <=> sK0 = sdtasdt0(sz10,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f6029,plain,
    ( sdtasdt0(sdtpldt0(sz10,xn),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,xn))
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_349 ),
    inference(forward_demodulation,[],[f6015,f486]) ).

fof(f486,plain,
    ( sK0 = sdtasdt0(sz10,sK0)
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f6015,plain,
    ( sdtasdt0(sdtpldt0(sz10,xn),sK0) = sdtpldt0(sdtasdt0(sz10,sK0),sdtasdt0(sK0,xn))
    | ~ spl3_11
    | ~ spl3_349 ),
    inference(resolution,[],[f5301,f164]) ).

fof(f26295,plain,
    ( spl3_1221
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_332
    | ~ spl3_347 ),
    inference(avatar_split_clause,[],[f5998,f5291,f5230,f1851,f147,f26292]) ).

fof(f26292,plain,
    ( spl3_1221
  <=> sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(xm,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1221])]) ).

fof(f5291,plain,
    ( spl3_347
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_347])]) ).

fof(f5998,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(xm,xm),sK1)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_332
    | ~ spl3_347 ),
    inference(forward_demodulation,[],[f5997,f5611]) ).

fof(f5611,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_332 ),
    inference(forward_demodulation,[],[f5601,f1853]) ).

fof(f5601,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(xm,sK1))
    | ~ spl3_8
    | ~ spl3_332 ),
    inference(resolution,[],[f5231,f149]) ).

fof(f5997,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(xm,xm),sK1)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_347 ),
    inference(forward_demodulation,[],[f5986,f1853]) ).

fof(f5986,plain,
    ( sdtasdt0(sdtpldt0(xm,xm),sK1) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_347 ),
    inference(resolution,[],[f5292,f149]) ).

fof(f5292,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xm)) )
    | ~ spl3_347 ),
    inference(avatar_component_clause,[],[f5291]) ).

fof(f26289,plain,
    ( spl3_1220
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_347 ),
    inference(avatar_split_clause,[],[f5996,f5291,f489,f162,f26286]) ).

fof(f26286,plain,
    ( spl3_1220
  <=> sdtasdt0(sdtpldt0(sz10,xm),sK1) = sdtpldt0(sK1,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1220])]) ).

fof(f5996,plain,
    ( sdtasdt0(sdtpldt0(sz10,xm),sK1) = sdtpldt0(sK1,sdtasdt0(sK1,xm))
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_347 ),
    inference(forward_demodulation,[],[f5982,f491]) ).

fof(f5982,plain,
    ( sdtasdt0(sdtpldt0(sz10,xm),sK1) = sdtpldt0(sdtasdt0(sz10,sK1),sdtasdt0(sK1,xm))
    | ~ spl3_11
    | ~ spl3_347 ),
    inference(resolution,[],[f5292,f164]) ).

fof(f26283,plain,
    ( spl3_1219
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_327
    | ~ spl3_346 ),
    inference(avatar_split_clause,[],[f5968,f5287,f5210,f1589,f147,f26280]) ).

fof(f26280,plain,
    ( spl3_1219
  <=> sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(xm,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1219])]) ).

fof(f5287,plain,
    ( spl3_346
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_346])]) ).

fof(f5968,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(xm,xm),sK0)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_327
    | ~ spl3_346 ),
    inference(forward_demodulation,[],[f5967,f5484]) ).

fof(f5484,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_327 ),
    inference(forward_demodulation,[],[f5474,f1591]) ).

fof(f5474,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(xm,sK0),sdtasdt0(xm,sK0))
    | ~ spl3_8
    | ~ spl3_327 ),
    inference(resolution,[],[f5211,f149]) ).

fof(f5967,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(xm,xm),sK0)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_346 ),
    inference(forward_demodulation,[],[f5956,f1591]) ).

fof(f5956,plain,
    ( sdtasdt0(sdtpldt0(xm,xm),sK0) = sdtpldt0(sdtasdt0(xm,sK0),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_346 ),
    inference(resolution,[],[f5288,f149]) ).

fof(f5288,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xm)) )
    | ~ spl3_346 ),
    inference(avatar_component_clause,[],[f5287]) ).

fof(f26277,plain,
    ( spl3_1218
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_346 ),
    inference(avatar_split_clause,[],[f5966,f5287,f484,f162,f26274]) ).

fof(f26274,plain,
    ( spl3_1218
  <=> sdtasdt0(sdtpldt0(sz10,xm),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1218])]) ).

fof(f5966,plain,
    ( sdtasdt0(sdtpldt0(sz10,xm),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,xm))
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_346 ),
    inference(forward_demodulation,[],[f5952,f486]) ).

fof(f5952,plain,
    ( sdtasdt0(sdtpldt0(sz10,xm),sK0) = sdtpldt0(sdtasdt0(sz10,sK0),sdtasdt0(sK0,xm))
    | ~ spl3_11
    | ~ spl3_346 ),
    inference(resolution,[],[f5288,f164]) ).

fof(f26272,plain,
    ( spl3_1217
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_327
    | ~ spl3_343 ),
    inference(avatar_split_clause,[],[f5900,f5275,f5210,f1794,f112,f26269]) ).

fof(f26269,plain,
    ( spl3_1217
  <=> sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK1,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1217])]) ).

fof(f5275,plain,
    ( spl3_343
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_343])]) ).

fof(f5900,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK1,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_327
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5899,f5486]) ).

fof(f5486,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_327 ),
    inference(forward_demodulation,[],[f5477,f1796]) ).

fof(f5477,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(sK1,sK0),sdtasdt0(sK1,sK0))
    | ~ spl3_1
    | ~ spl3_327 ),
    inference(resolution,[],[f5211,f114]) ).

fof(f5899,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5882,f1796]) ).

fof(f5882,plain,
    ( sdtasdt0(sdtpldt0(sK1,sK1),sK0) = sdtpldt0(sdtasdt0(sK1,sK0),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_343 ),
    inference(resolution,[],[f5276,f114]) ).

fof(f5276,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK1)) )
    | ~ spl3_343 ),
    inference(avatar_component_clause,[],[f5275]) ).

fof(f26267,plain,
    ( spl3_1216
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_137
    | ~ spl3_334
    | ~ spl3_343 ),
    inference(avatar_split_clause,[],[f5897,f5275,f5238,f1674,f1512,f152,f117,f26264]) ).

fof(f26264,plain,
    ( spl3_1216
  <=> sdtasdt0(sK0,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1216])]) ).

fof(f1512,plain,
    ( spl3_126
  <=> sdtpldt0(xn,sK1) = sdtpldt0(sK1,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).

fof(f5238,plain,
    ( spl3_334
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_334])]) ).

fof(f5897,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),sK0)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_137
    | ~ spl3_334
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5896,f5650]) ).

fof(f5650,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sK1)) = sdtasdt0(sK0,sdtpldt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_334 ),
    inference(resolution,[],[f5239,f119]) ).

fof(f5239,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,xn)) )
    | ~ spl3_334 ),
    inference(avatar_component_clause,[],[f5238]) ).

fof(f5896,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK1,xn),sK0)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_137
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5895,f1514]) ).

fof(f1514,plain,
    ( sdtpldt0(xn,sK1) = sdtpldt0(sK1,xn)
    | ~ spl3_126 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f5895,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(xn,sK1),sK0)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5880,f1676]) ).

fof(f5880,plain,
    ( sdtasdt0(sdtpldt0(xn,sK1),sK0) = sdtpldt0(sdtasdt0(xn,sK0),sdtasdt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_343 ),
    inference(resolution,[],[f5276,f154]) ).

fof(f26262,plain,
    ( spl3_1215
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_47
    | ~ spl3_120
    | ~ spl3_333
    | ~ spl3_343 ),
    inference(avatar_split_clause,[],[f5891,f5275,f5234,f1437,f484,f474,f162,f117,f26259]) ).

fof(f26259,plain,
    ( spl3_1215
  <=> sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtasdt0(sK0,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1215])]) ).

fof(f1437,plain,
    ( spl3_120
  <=> sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).

fof(f5234,plain,
    ( spl3_333
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_333])]) ).

fof(f5891,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtasdt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_47
    | ~ spl3_120
    | ~ spl3_333
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5890,f5637]) ).

fof(f5637,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sK0,sdtasdt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5622,f476]) ).

fof(f5622,plain,
    ( sdtpldt0(sdtasdt0(sK0,sz10),sdtasdt0(sK0,sK1)) = sdtasdt0(sK0,sdtpldt0(sK1,sz10))
    | ~ spl3_2
    | ~ spl3_333 ),
    inference(resolution,[],[f5235,f119]) ).

fof(f5235,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,sz10)) )
    | ~ spl3_333 ),
    inference(avatar_component_clause,[],[f5234]) ).

fof(f5890,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_120
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5889,f1439]) ).

fof(f1439,plain,
    ( sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10)
    | ~ spl3_120 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f5889,plain,
    ( sdtpldt0(sK0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sz10,sK1),sK0)
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_343 ),
    inference(forward_demodulation,[],[f5875,f486]) ).

fof(f5875,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK1),sK0) = sdtpldt0(sdtasdt0(sz10,sK0),sdtasdt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_343 ),
    inference(resolution,[],[f5276,f164]) ).

fof(f26257,plain,
    ( spl3_1214
    | ~ spl3_1
    | ~ spl3_332
    | ~ spl3_342 ),
    inference(avatar_split_clause,[],[f5869,f5271,f5230,f112,f26254]) ).

fof(f26254,plain,
    ( spl3_1214
  <=> sdtasdt0(sK1,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1214])]) ).

fof(f5271,plain,
    ( spl3_342
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_342])]) ).

fof(f5869,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_332
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5853,f5604]) ).

fof(f5604,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_332 ),
    inference(resolution,[],[f5231,f114]) ).

fof(f5853,plain,
    ( sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_342 ),
    inference(resolution,[],[f5272,f114]) ).

fof(f5272,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,sK1)) )
    | ~ spl3_342 ),
    inference(avatar_component_clause,[],[f5271]) ).

fof(f26252,plain,
    ( spl3_1213
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_156
    | ~ spl3_334
    | ~ spl3_342 ),
    inference(avatar_split_clause,[],[f5867,f5271,f5238,f1933,f1512,f152,f112,f26249]) ).

fof(f26249,plain,
    ( spl3_1213
  <=> sdtasdt0(sK1,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1213])]) ).

fof(f5867,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),sK1)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_156
    | ~ spl3_334
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5866,f5651]) ).

fof(f5651,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtpldt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_334 ),
    inference(resolution,[],[f5239,f114]) ).

fof(f5866,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,xn),sK1)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_156
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5865,f1514]) ).

fof(f5865,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,sK1)) = sdtasdt0(sdtpldt0(xn,sK1),sK1)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5851,f1935]) ).

fof(f5851,plain,
    ( sdtasdt0(sdtpldt0(xn,sK1),sK1) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(sK1,sK1))
    | ~ spl3_9
    | ~ spl3_342 ),
    inference(resolution,[],[f5272,f154]) ).

fof(f26247,plain,
    ( spl3_1212
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_48
    | ~ spl3_120
    | ~ spl3_333
    | ~ spl3_342 ),
    inference(avatar_split_clause,[],[f5861,f5271,f5234,f1437,f489,f479,f162,f112,f26244]) ).

fof(f26244,plain,
    ( spl3_1212
  <=> sdtasdt0(sdtpldt0(sK1,sz10),sK1) = sdtasdt0(sK1,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1212])]) ).

fof(f5861,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK1) = sdtasdt0(sK1,sdtpldt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_48
    | ~ spl3_120
    | ~ spl3_333
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5860,f5638]) ).

fof(f5638,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK1,sz10)) = sdtpldt0(sK1,sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5623,f481]) ).

fof(f5623,plain,
    ( sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK1,sK1)) = sdtasdt0(sK1,sdtpldt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_333 ),
    inference(resolution,[],[f5235,f114]) ).

fof(f5860,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK1) = sdtpldt0(sK1,sdtasdt0(sK1,sK1))
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_120
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5859,f1439]) ).

fof(f5859,plain,
    ( sdtpldt0(sK1,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sz10,sK1),sK1)
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_342 ),
    inference(forward_demodulation,[],[f5846,f491]) ).

fof(f5846,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK1),sK1) = sdtpldt0(sdtasdt0(sz10,sK1),sdtasdt0(sK1,sK1))
    | ~ spl3_11
    | ~ spl3_342 ),
    inference(resolution,[],[f5272,f164]) ).

fof(f26242,plain,
    ( spl3_1211
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_332
    | ~ spl3_341 ),
    inference(avatar_split_clause,[],[f5840,f5267,f5230,f1933,f152,f112,f26239]) ).

fof(f26239,plain,
    ( spl3_1211
  <=> sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1211])]) ).

fof(f5267,plain,
    ( spl3_341
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK1,xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_341])]) ).

fof(f5840,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),xn)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_332
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5827,f5612]) ).

fof(f5827,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,sK1),xn)
    | ~ spl3_1
    | ~ spl3_341 ),
    inference(resolution,[],[f5268,f114]) ).

fof(f5268,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK1,xn)) )
    | ~ spl3_341 ),
    inference(avatar_component_clause,[],[f5267]) ).

fof(f26237,plain,
    ( spl3_1210
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_156
    | ~ spl3_334
    | ~ spl3_341 ),
    inference(avatar_split_clause,[],[f5838,f5267,f5238,f1933,f1512,f152,f26234]) ).

fof(f26234,plain,
    ( spl3_1210
  <=> sdtasdt0(xn,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1210])]) ).

fof(f5838,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_156
    | ~ spl3_334
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5837,f5662]) ).

fof(f5662,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,xn)) = sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_334 ),
    inference(forward_demodulation,[],[f5649,f1935]) ).

fof(f5649,plain,
    ( sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(xn,sK1)) = sdtasdt0(xn,sdtpldt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_334 ),
    inference(resolution,[],[f5239,f154]) ).

fof(f5837,plain,
    ( sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5825,f1514]) ).

fof(f5825,plain,
    ( sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(xn,sK1),xn)
    | ~ spl3_9
    | ~ spl3_341 ),
    inference(resolution,[],[f5268,f154]) ).

fof(f26232,plain,
    ( spl3_1208
    | ~ spl3_1209
    | ~ spl3_517
    | ~ spl3_616 ),
    inference(avatar_split_clause,[],[f13000,f11492,f8990,f26229,f26225]) ).

fof(f8990,plain,
    ( spl3_517
  <=> xm = sdtpldt0(sdtpldt0(sK0,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_517])]) ).

fof(f11492,plain,
    ( spl3_616
  <=> ! [X0] :
        ( xm != sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_616])]) ).

fof(f13000,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
    | sz00 = sdtpldt0(sK0,sK1)
    | ~ spl3_517
    | ~ spl3_616 ),
    inference(trivial_inequality_removal,[],[f12990]) ).

fof(f12990,plain,
    ( xm != xm
    | ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
    | sz00 = sdtpldt0(sK0,sK1)
    | ~ spl3_517
    | ~ spl3_616 ),
    inference(superposition,[],[f11493,f8992]) ).

fof(f8992,plain,
    ( xm = sdtpldt0(sdtpldt0(sK0,sK1),xm)
    | ~ spl3_517 ),
    inference(avatar_component_clause,[],[f8990]) ).

fof(f11493,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl3_616 ),
    inference(avatar_component_clause,[],[f11492]) ).

fof(f26223,plain,
    ( spl3_1207
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_87
    | ~ spl3_120
    | ~ spl3_156
    | ~ spl3_333
    | ~ spl3_341 ),
    inference(avatar_split_clause,[],[f5835,f5267,f5234,f1933,f1437,f972,f962,f162,f152,f26220]) ).

fof(f26220,plain,
    ( spl3_1207
  <=> sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtasdt0(sdtpldt0(sK1,sz10),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1207])]) ).

fof(f972,plain,
    ( spl3_87
  <=> xn = sdtasdt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).

fof(f5835,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtasdt0(sdtpldt0(sK1,sz10),xn)
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_87
    | ~ spl3_120
    | ~ spl3_156
    | ~ spl3_333
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5834,f5636]) ).

fof(f5636,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(xn,sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_156
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5635,f964]) ).

fof(f5635,plain,
    ( sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5621,f1935]) ).

fof(f5621,plain,
    ( sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK1)) = sdtasdt0(xn,sdtpldt0(sK1,sz10))
    | ~ spl3_9
    | ~ spl3_333 ),
    inference(resolution,[],[f5235,f154]) ).

fof(f5834,plain,
    ( sdtpldt0(xn,sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,sz10),xn)
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_120
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5833,f1439]) ).

fof(f5833,plain,
    ( sdtpldt0(xn,sdtasdt0(sK1,xn)) = sdtasdt0(sdtpldt0(sz10,sK1),xn)
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_341 ),
    inference(forward_demodulation,[],[f5820,f974]) ).

fof(f974,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl3_87 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f5820,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK1),xn) = sdtpldt0(sdtasdt0(sz10,xn),sdtasdt0(sK1,xn))
    | ~ spl3_11
    | ~ spl3_341 ),
    inference(resolution,[],[f5268,f164]) ).

fof(f26218,plain,
    ( spl3_1206
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_332
    | ~ spl3_340 ),
    inference(avatar_split_clause,[],[f5814,f5263,f5230,f1851,f147,f112,f26215]) ).

fof(f26215,plain,
    ( spl3_1206
  <=> sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1206])]) ).

fof(f5263,plain,
    ( spl3_340
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK1,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_340])]) ).

fof(f5814,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sK1)) = sdtasdt0(sdtpldt0(sK1,sK1),xm)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_332
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5799,f5611]) ).

fof(f5799,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(sK1,sK1),xm)
    | ~ spl3_1
    | ~ spl3_340 ),
    inference(resolution,[],[f5264,f114]) ).

fof(f5264,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK1,xm)) )
    | ~ spl3_340 ),
    inference(avatar_component_clause,[],[f5263]) ).

fof(f26213,plain,
    ( spl3_1205
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_126
    | ~ spl3_151
    | ~ spl3_334
    | ~ spl3_340 ),
    inference(avatar_split_clause,[],[f5812,f5263,f5238,f1851,f1512,f1203,f152,f147,f26210]) ).

fof(f26210,plain,
    ( spl3_1205
  <=> sdtasdt0(xm,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1205])]) ).

fof(f1203,plain,
    ( spl3_103
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f5812,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,xn)) = sdtasdt0(sdtpldt0(sK1,xn),xm)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_126
    | ~ spl3_151
    | ~ spl3_334
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5811,f5661]) ).

fof(f5661,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_334 ),
    inference(forward_demodulation,[],[f5648,f1853]) ).

fof(f5648,plain,
    ( sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,sK1)) = sdtasdt0(xm,sdtpldt0(sK1,xn))
    | ~ spl3_8
    | ~ spl3_334 ),
    inference(resolution,[],[f5239,f149]) ).

fof(f5811,plain,
    ( sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(sK1,xn),xm)
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_126
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5810,f1514]) ).

fof(f5810,plain,
    ( sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(xn,sK1),xm)
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5797,f1240]) ).

fof(f1240,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
    | ~ spl3_9
    | ~ spl3_103 ),
    inference(resolution,[],[f1204,f154]) ).

fof(f1204,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
    | ~ spl3_103 ),
    inference(avatar_component_clause,[],[f1203]) ).

fof(f5797,plain,
    ( sdtasdt0(sdtpldt0(xn,sK1),xm) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(sK1,xm))
    | ~ spl3_9
    | ~ spl3_340 ),
    inference(resolution,[],[f5264,f154]) ).

fof(f26208,plain,
    ( spl3_1204
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_86
    | ~ spl3_120
    | ~ spl3_151
    | ~ spl3_333
    | ~ spl3_340 ),
    inference(avatar_split_clause,[],[f5807,f5263,f5234,f1851,f1437,f967,f957,f162,f147,f26205]) ).

fof(f26205,plain,
    ( spl3_1204
  <=> sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtasdt0(sdtpldt0(sK1,sz10),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1204])]) ).

fof(f967,plain,
    ( spl3_86
  <=> xm = sdtasdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).

fof(f5807,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtasdt0(sdtpldt0(sK1,sz10),xm)
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_86
    | ~ spl3_120
    | ~ spl3_151
    | ~ spl3_333
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5806,f5634]) ).

fof(f5634,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(xm,sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_151
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5633,f959]) ).

fof(f5633,plain,
    ( sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_333 ),
    inference(forward_demodulation,[],[f5620,f1853]) ).

fof(f5620,plain,
    ( sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(xm,sK1)) = sdtasdt0(xm,sdtpldt0(sK1,sz10))
    | ~ spl3_8
    | ~ spl3_333 ),
    inference(resolution,[],[f5235,f149]) ).

fof(f5806,plain,
    ( sdtpldt0(xm,sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(sK1,sz10),xm)
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_120
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5805,f1439]) ).

fof(f5805,plain,
    ( sdtpldt0(xm,sdtasdt0(sK1,xm)) = sdtasdt0(sdtpldt0(sz10,sK1),xm)
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_340 ),
    inference(forward_demodulation,[],[f5792,f969]) ).

fof(f969,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl3_86 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f5792,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK1),xm) = sdtpldt0(sdtasdt0(sz10,xm),sdtasdt0(sK1,xm))
    | ~ spl3_11
    | ~ spl3_340 ),
    inference(resolution,[],[f5264,f164]) ).

fof(f26203,plain,
    ( spl3_1203
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_143
    | ~ spl3_330
    | ~ spl3_339 ),
    inference(avatar_split_clause,[],[f5785,f5259,f5222,f1794,f1368,f112,f26200]) ).

fof(f26200,plain,
    ( spl3_1203
  <=> sdtasdt0(sK1,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1203])]) ).

fof(f1368,plain,
    ( spl3_113
  <=> sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).

fof(f5222,plain,
    ( spl3_330
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_330])]) ).

fof(f5259,plain,
    ( spl3_339
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK0,sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_339])]) ).

fof(f5785,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_143
    | ~ spl3_330
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5784,f5567]) ).

fof(f5567,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_330 ),
    inference(forward_demodulation,[],[f5553,f1796]) ).

fof(f5553,plain,
    ( sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,sK0)) = sdtasdt0(sK1,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_330 ),
    inference(resolution,[],[f5223,f114]) ).

fof(f5223,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sK1)) )
    | ~ spl3_330 ),
    inference(avatar_component_clause,[],[f5222]) ).

fof(f5784,plain,
    ( sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5768,f1370]) ).

fof(f1370,plain,
    ( sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1)
    | ~ spl3_113 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f5768,plain,
    ( sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK1,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_339 ),
    inference(resolution,[],[f5260,f114]) ).

fof(f5260,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK0,sK1)) )
    | ~ spl3_339 ),
    inference(avatar_component_clause,[],[f5259]) ).

fof(f26198,plain,
    ( spl3_1202
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_143
    | ~ spl3_327
    | ~ spl3_339 ),
    inference(avatar_split_clause,[],[f5783,f5259,f5210,f1794,f117,f112,f26195]) ).

fof(f26195,plain,
    ( spl3_1202
  <=> sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1202])]) ).

fof(f5783,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_143
    | ~ spl3_327
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5767,f5486]) ).

fof(f5767,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK0),sK1)
    | ~ spl3_2
    | ~ spl3_339 ),
    inference(resolution,[],[f5260,f119]) ).

fof(f26193,plain,
    ( spl3_1201
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_143
    | ~ spl3_151
    | ~ spl3_329
    | ~ spl3_339 ),
    inference(avatar_split_clause,[],[f5779,f5259,f5218,f1851,f1794,f1271,f147,f112,f26190]) ).

fof(f26190,plain,
    ( spl3_1201
  <=> sdtasdt0(sK1,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1201])]) ).

fof(f1271,plain,
    ( spl3_108
  <=> sdtpldt0(xm,sK0) = sdtpldt0(sK0,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).

fof(f5218,plain,
    ( spl3_329
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_329])]) ).

fof(f5779,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),sK1)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_143
    | ~ spl3_151
    | ~ spl3_329
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5778,f5541]) ).

fof(f5541,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_329 ),
    inference(forward_demodulation,[],[f5528,f1796]) ).

fof(f5528,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,sK0)) = sdtasdt0(sK1,sdtpldt0(sK0,xm))
    | ~ spl3_1
    | ~ spl3_329 ),
    inference(resolution,[],[f5219,f114]) ).

fof(f5219,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,xm)) )
    | ~ spl3_329 ),
    inference(avatar_component_clause,[],[f5218]) ).

fof(f5778,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,xm),sK1)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_151
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5777,f1273]) ).

fof(f1273,plain,
    ( sdtpldt0(xm,sK0) = sdtpldt0(sK0,xm)
    | ~ spl3_108 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f5777,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(xm,sK0),sK1)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5765,f1853]) ).

fof(f5765,plain,
    ( sdtasdt0(sdtpldt0(xm,sK0),sK1) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(sK0,sK1))
    | ~ spl3_8
    | ~ spl3_339 ),
    inference(resolution,[],[f5260,f149]) ).

fof(f26188,plain,
    ( spl3_1200
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_48
    | ~ spl3_101
    | ~ spl3_143
    | ~ spl3_328
    | ~ spl3_339 ),
    inference(avatar_split_clause,[],[f5776,f5259,f5214,f1794,f1194,f489,f479,f162,f112,f26185]) ).

fof(f26185,plain,
    ( spl3_1200
  <=> sdtasdt0(sdtpldt0(sK0,sz10),sK1) = sdtasdt0(sK1,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1200])]) ).

fof(f1194,plain,
    ( spl3_101
  <=> sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).

fof(f5214,plain,
    ( spl3_328
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_328])]) ).

fof(f5776,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK1) = sdtasdt0(sK1,sdtpldt0(sK0,sz10))
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_48
    | ~ spl3_101
    | ~ spl3_143
    | ~ spl3_328
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5775,f5514]) ).

fof(f5514,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sK1,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_143
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5513,f481]) ).

fof(f5513,plain,
    ( sdtasdt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5498,f1796]) ).

fof(f5498,plain,
    ( sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK1,sK0)) = sdtasdt0(sK1,sdtpldt0(sK0,sz10))
    | ~ spl3_1
    | ~ spl3_328 ),
    inference(resolution,[],[f5215,f114]) ).

fof(f5215,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sz10)) )
    | ~ spl3_328 ),
    inference(avatar_component_clause,[],[f5214]) ).

fof(f5775,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK1) = sdtpldt0(sK1,sdtasdt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_101
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5774,f1196]) ).

fof(f1196,plain,
    ( sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10)
    | ~ spl3_101 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f5774,plain,
    ( sdtpldt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sz10,sK0),sK1)
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_339 ),
    inference(forward_demodulation,[],[f5761,f491]) ).

fof(f5761,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK0),sK1) = sdtpldt0(sdtasdt0(sz10,sK1),sdtasdt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_339 ),
    inference(resolution,[],[f5260,f164]) ).

fof(f26183,plain,
    ( spl3_1199
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_113
    | ~ spl3_143
    | ~ spl3_330
    | ~ spl3_338 ),
    inference(avatar_split_clause,[],[f5753,f5255,f5222,f1794,f1368,f117,f112,f26180]) ).

fof(f26180,plain,
    ( spl3_1199
  <=> sdtasdt0(sK0,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1199])]) ).

fof(f5255,plain,
    ( spl3_338
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_338])]) ).

fof(f5753,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_113
    | ~ spl3_143
    | ~ spl3_330
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5752,f5552]) ).

fof(f5552,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtpldt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_330 ),
    inference(resolution,[],[f5223,f119]) ).

fof(f5752,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_143
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5751,f1370]) ).

fof(f5751,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK1,sK0),sK0)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5735,f1796]) ).

fof(f5735,plain,
    ( sdtasdt0(sdtpldt0(sK1,sK0),sK0) = sdtpldt0(sdtasdt0(sK1,sK0),sdtasdt0(sK0,sK0))
    | ~ spl3_1
    | ~ spl3_338 ),
    inference(resolution,[],[f5256,f114]) ).

fof(f5256,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK0)) )
    | ~ spl3_338 ),
    inference(avatar_component_clause,[],[f5255]) ).

fof(f26178,plain,
    ( spl3_1198
    | ~ spl3_2
    | ~ spl3_327
    | ~ spl3_338 ),
    inference(avatar_split_clause,[],[f5750,f5255,f5210,f117,f26175]) ).

fof(f26175,plain,
    ( spl3_1198
  <=> sdtasdt0(sK0,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1198])]) ).

fof(f5750,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),sK0)
    | ~ spl3_2
    | ~ spl3_327
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5734,f5476]) ).

fof(f5476,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_327 ),
    inference(resolution,[],[f5211,f119]) ).

fof(f5734,plain,
    ( sdtpldt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),sK0)
    | ~ spl3_2
    | ~ spl3_338 ),
    inference(resolution,[],[f5256,f119]) ).

fof(f26172,plain,
    ( spl3_1197
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_131
    | ~ spl3_329
    | ~ spl3_338 ),
    inference(avatar_split_clause,[],[f5746,f5255,f5218,f1589,f1271,f147,f117,f26169]) ).

fof(f26169,plain,
    ( spl3_1197
  <=> sdtasdt0(sK0,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1197])]) ).

fof(f5746,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),sK0)
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_131
    | ~ spl3_329
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5745,f5527]) ).

fof(f5527,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtpldt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_329 ),
    inference(resolution,[],[f5219,f119]) ).

fof(f5745,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,xm),sK0)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_131
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5744,f1273]) ).

fof(f5744,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(xm,sK0),sK0)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5732,f1591]) ).

fof(f5732,plain,
    ( sdtasdt0(sdtpldt0(xm,sK0),sK0) = sdtpldt0(sdtasdt0(xm,sK0),sdtasdt0(sK0,sK0))
    | ~ spl3_8
    | ~ spl3_338 ),
    inference(resolution,[],[f5256,f149]) ).

fof(f26167,plain,
    ( spl3_1196
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_47
    | ~ spl3_101
    | ~ spl3_328
    | ~ spl3_338 ),
    inference(avatar_split_clause,[],[f5743,f5255,f5214,f1194,f484,f474,f162,f117,f26164]) ).

fof(f26164,plain,
    ( spl3_1196
  <=> sdtasdt0(sdtpldt0(sK0,sz10),sK0) = sdtasdt0(sK0,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1196])]) ).

fof(f5743,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK0) = sdtasdt0(sK0,sdtpldt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_47
    | ~ spl3_101
    | ~ spl3_328
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5742,f5512]) ).

fof(f5512,plain,
    ( sdtasdt0(sK0,sdtpldt0(sK0,sz10)) = sdtpldt0(sK0,sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5497,f476]) ).

fof(f5497,plain,
    ( sdtpldt0(sdtasdt0(sK0,sz10),sdtasdt0(sK0,sK0)) = sdtasdt0(sK0,sdtpldt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_328 ),
    inference(resolution,[],[f5215,f119]) ).

fof(f5742,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,sK0))
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_101
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5741,f1196]) ).

fof(f5741,plain,
    ( sdtpldt0(sK0,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sz10,sK0),sK0)
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_338 ),
    inference(forward_demodulation,[],[f5728,f486]) ).

fof(f5728,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK0),sK0) = sdtpldt0(sdtasdt0(sz10,sK0),sdtasdt0(sK0,sK0))
    | ~ spl3_11
    | ~ spl3_338 ),
    inference(resolution,[],[f5256,f164]) ).

fof(f26162,plain,
    ( spl3_1195
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_113
    | ~ spl3_137
    | ~ spl3_156
    | ~ spl3_330
    | ~ spl3_336 ),
    inference(avatar_split_clause,[],[f5716,f5246,f5222,f1933,f1674,f1368,f152,f112,f26159]) ).

fof(f26159,plain,
    ( spl3_1195
  <=> sdtasdt0(xn,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1195])]) ).

fof(f5246,plain,
    ( spl3_336
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK0,xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_336])]) ).

fof(f5716,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),xn)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_113
    | ~ spl3_137
    | ~ spl3_156
    | ~ spl3_330
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5715,f5566]) ).

fof(f5566,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_156
    | ~ spl3_330 ),
    inference(forward_demodulation,[],[f5565,f1935]) ).

fof(f5565,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_330 ),
    inference(forward_demodulation,[],[f5551,f1676]) ).

fof(f5551,plain,
    ( sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(xn,sK0)) = sdtasdt0(xn,sdtpldt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_330 ),
    inference(resolution,[],[f5223,f154]) ).

fof(f5715,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sK0,sK1),xn)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5702,f1370]) ).

fof(f5702,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sK1,sK0),xn)
    | ~ spl3_1
    | ~ spl3_336 ),
    inference(resolution,[],[f5247,f114]) ).

fof(f5247,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK0,xn)) )
    | ~ spl3_336 ),
    inference(avatar_component_clause,[],[f5246]) ).

fof(f26157,plain,
    ( spl3_1194
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_327
    | ~ spl3_336 ),
    inference(avatar_split_clause,[],[f5714,f5246,f5210,f1674,f152,f117,f26154]) ).

fof(f26154,plain,
    ( spl3_1194
  <=> sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1194])]) ).

fof(f5714,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),xn)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_327
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5701,f5485]) ).

fof(f5701,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sK0,sK0),xn)
    | ~ spl3_2
    | ~ spl3_336 ),
    inference(resolution,[],[f5247,f119]) ).

fof(f26152,plain,
    ( spl3_1193
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_108
    | ~ spl3_137
    | ~ spl3_329
    | ~ spl3_336 ),
    inference(avatar_split_clause,[],[f5712,f5246,f5218,f1674,f1271,f1203,f152,f147,f26149]) ).

fof(f26149,plain,
    ( spl3_1193
  <=> sdtasdt0(xn,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1193])]) ).

fof(f5712,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),xn)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_108
    | ~ spl3_137
    | ~ spl3_329
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5711,f5540]) ).

fof(f5540,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_137
    | ~ spl3_329 ),
    inference(forward_demodulation,[],[f5539,f1240]) ).

fof(f5539,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_329 ),
    inference(forward_demodulation,[],[f5526,f1676]) ).

fof(f5526,plain,
    ( sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,sK0)) = sdtasdt0(xn,sdtpldt0(sK0,xm))
    | ~ spl3_9
    | ~ spl3_329 ),
    inference(resolution,[],[f5219,f154]) ).

fof(f5711,plain,
    ( sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sK0,xm),xn)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5699,f1273]) ).

fof(f5699,plain,
    ( sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(xm,sK0),xn)
    | ~ spl3_8
    | ~ spl3_336 ),
    inference(resolution,[],[f5247,f149]) ).

fof(f26147,plain,
    ( spl3_1192
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_87
    | ~ spl3_101
    | ~ spl3_137
    | ~ spl3_328
    | ~ spl3_336 ),
    inference(avatar_split_clause,[],[f5710,f5246,f5214,f1674,f1194,f972,f962,f162,f152,f26144]) ).

fof(f26144,plain,
    ( spl3_1192
  <=> sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtasdt0(sdtpldt0(sK0,sz10),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1192])]) ).

fof(f5710,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtasdt0(sdtpldt0(sK0,sz10),xn)
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_87
    | ~ spl3_101
    | ~ spl3_137
    | ~ spl3_328
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5709,f5511]) ).

fof(f5511,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(xn,sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_137
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5510,f964]) ).

fof(f5510,plain,
    ( sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5496,f1676]) ).

fof(f5496,plain,
    ( sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK0)) = sdtasdt0(xn,sdtpldt0(sK0,sz10))
    | ~ spl3_9
    | ~ spl3_328 ),
    inference(resolution,[],[f5215,f154]) ).

fof(f5709,plain,
    ( sdtpldt0(xn,sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sK0,sz10),xn)
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_101
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5708,f1196]) ).

fof(f5708,plain,
    ( sdtpldt0(xn,sdtasdt0(sK0,xn)) = sdtasdt0(sdtpldt0(sz10,sK0),xn)
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_336 ),
    inference(forward_demodulation,[],[f5695,f974]) ).

fof(f5695,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK0),xn) = sdtpldt0(sdtasdt0(sz10,xn),sdtasdt0(sK0,xn))
    | ~ spl3_11
    | ~ spl3_336 ),
    inference(resolution,[],[f5247,f164]) ).

fof(f26142,plain,
    ( spl3_1191
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_113
    | ~ spl3_131
    | ~ spl3_151
    | ~ spl3_330
    | ~ spl3_335 ),
    inference(avatar_split_clause,[],[f5688,f5242,f5222,f1851,f1589,f1368,f147,f112,f26139]) ).

fof(f26139,plain,
    ( spl3_1191
  <=> sdtasdt0(xm,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1191])]) ).

fof(f5242,plain,
    ( spl3_335
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK0,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_335])]) ).

fof(f5688,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK1)) = sdtasdt0(sdtpldt0(sK0,sK1),xm)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_113
    | ~ spl3_131
    | ~ spl3_151
    | ~ spl3_330
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5687,f5564]) ).

fof(f5564,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_151
    | ~ spl3_330 ),
    inference(forward_demodulation,[],[f5563,f1853]) ).

fof(f5563,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_330 ),
    inference(forward_demodulation,[],[f5550,f1591]) ).

fof(f5550,plain,
    ( sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(xm,sK0)) = sdtasdt0(xm,sdtpldt0(sK0,sK1))
    | ~ spl3_8
    | ~ spl3_330 ),
    inference(resolution,[],[f5223,f149]) ).

fof(f5687,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,sK1),xm)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5673,f1370]) ).

fof(f5673,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK1,sK0),xm)
    | ~ spl3_1
    | ~ spl3_335 ),
    inference(resolution,[],[f5243,f114]) ).

fof(f5243,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK0,xm)) )
    | ~ spl3_335 ),
    inference(avatar_component_clause,[],[f5242]) ).

fof(f26137,plain,
    ( spl3_1190
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_327
    | ~ spl3_335 ),
    inference(avatar_split_clause,[],[f5686,f5242,f5210,f1589,f147,f117,f26134]) ).

fof(f26134,plain,
    ( spl3_1190
  <=> sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1190])]) ).

fof(f5686,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sK0)) = sdtasdt0(sdtpldt0(sK0,sK0),xm)
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_327
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5672,f5484]) ).

fof(f5672,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,sK0),xm)
    | ~ spl3_2
    | ~ spl3_335 ),
    inference(resolution,[],[f5243,f119]) ).

fof(f26132,plain,
    ( spl3_1189
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_131
    | ~ spl3_329
    | ~ spl3_335 ),
    inference(avatar_split_clause,[],[f5683,f5242,f5218,f1589,f1271,f147,f26129]) ).

fof(f26129,plain,
    ( spl3_1189
  <=> sdtasdt0(xm,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1189])]) ).

fof(f5683,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_131
    | ~ spl3_329
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5682,f5538]) ).

fof(f5538,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_329 ),
    inference(forward_demodulation,[],[f5525,f1591]) ).

fof(f5525,plain,
    ( sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(xm,sK0)) = sdtasdt0(xm,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_329 ),
    inference(resolution,[],[f5219,f149]) ).

fof(f5682,plain,
    ( sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5670,f1273]) ).

fof(f5670,plain,
    ( sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(xm,sK0),xm)
    | ~ spl3_8
    | ~ spl3_335 ),
    inference(resolution,[],[f5243,f149]) ).

fof(f26127,plain,
    ( spl3_1188
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_86
    | ~ spl3_101
    | ~ spl3_131
    | ~ spl3_328
    | ~ spl3_335 ),
    inference(avatar_split_clause,[],[f5681,f5242,f5214,f1589,f1194,f967,f957,f162,f147,f26124]) ).

fof(f26124,plain,
    ( spl3_1188
  <=> sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtasdt0(sdtpldt0(sK0,sz10),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1188])]) ).

fof(f5681,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtasdt0(sdtpldt0(sK0,sz10),xm)
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_86
    | ~ spl3_101
    | ~ spl3_131
    | ~ spl3_328
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5680,f5509]) ).

fof(f5509,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(xm,sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_131
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5508,f959]) ).

fof(f5508,plain,
    ( sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_328 ),
    inference(forward_demodulation,[],[f5495,f1591]) ).

fof(f5495,plain,
    ( sdtpldt0(sdtasdt0(xm,sz10),sdtasdt0(xm,sK0)) = sdtasdt0(xm,sdtpldt0(sK0,sz10))
    | ~ spl3_8
    | ~ spl3_328 ),
    inference(resolution,[],[f5215,f149]) ).

fof(f5680,plain,
    ( sdtpldt0(xm,sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sK0,sz10),xm)
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_101
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5679,f1196]) ).

fof(f5679,plain,
    ( sdtpldt0(xm,sdtasdt0(sK0,xm)) = sdtasdt0(sdtpldt0(sz10,sK0),xm)
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_335 ),
    inference(forward_demodulation,[],[f5666,f969]) ).

fof(f5666,plain,
    ( sdtasdt0(sdtpldt0(sz10,sK0),xm) = sdtpldt0(sdtasdt0(sz10,xm),sdtasdt0(sK0,xm))
    | ~ spl3_11
    | ~ spl3_335 ),
    inference(resolution,[],[f5243,f164]) ).

fof(f26121,plain,
    ( spl3_1187
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_333 ),
    inference(avatar_split_clause,[],[f5638,f5234,f479,f112,f26118]) ).

fof(f26118,plain,
    ( spl3_1187
  <=> sdtasdt0(sK1,sdtpldt0(sK1,sz10)) = sdtpldt0(sK1,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1187])]) ).

fof(f26116,plain,
    ( spl3_1186
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_333 ),
    inference(avatar_split_clause,[],[f5637,f5234,f474,f117,f26113]) ).

fof(f26113,plain,
    ( spl3_1186
  <=> sdtasdt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sK0,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1186])]) ).

fof(f26111,plain,
    ( spl3_1185
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_156
    | ~ spl3_333 ),
    inference(avatar_split_clause,[],[f5636,f5234,f1933,f962,f152,f26108]) ).

fof(f26108,plain,
    ( spl3_1185
  <=> sdtasdt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(xn,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1185])]) ).

fof(f26106,plain,
    ( spl3_1184
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_151
    | ~ spl3_333 ),
    inference(avatar_split_clause,[],[f5634,f5234,f1851,f957,f147,f26103]) ).

fof(f26103,plain,
    ( spl3_1184
  <=> sdtasdt0(xm,sdtpldt0(sK1,sz10)) = sdtpldt0(xm,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1184])]) ).

fof(f26101,plain,
    ( spl3_1183
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_143
    | ~ spl3_328 ),
    inference(avatar_split_clause,[],[f5514,f5214,f1794,f479,f112,f26098]) ).

fof(f26098,plain,
    ( spl3_1183
  <=> sdtasdt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sK1,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1183])]) ).

fof(f26096,plain,
    ( spl3_1182
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_328 ),
    inference(avatar_split_clause,[],[f5512,f5214,f474,f117,f26093]) ).

fof(f26093,plain,
    ( spl3_1182
  <=> sdtasdt0(sK0,sdtpldt0(sK0,sz10)) = sdtpldt0(sK0,sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1182])]) ).

fof(f26091,plain,
    ( spl3_1181
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_137
    | ~ spl3_328 ),
    inference(avatar_split_clause,[],[f5511,f5214,f1674,f962,f152,f26088]) ).

fof(f26088,plain,
    ( spl3_1181
  <=> sdtasdt0(xn,sdtpldt0(sK0,sz10)) = sdtpldt0(xn,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1181])]) ).

fof(f26086,plain,
    ( spl3_1180
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_131
    | ~ spl3_328 ),
    inference(avatar_split_clause,[],[f5509,f5214,f1589,f957,f147,f26083]) ).

fof(f26083,plain,
    ( spl3_1180
  <=> sdtasdt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(xm,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1180])]) ).

fof(f26080,plain,
    ( spl3_1179
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_156
    | ~ spl3_303 ),
    inference(avatar_split_clause,[],[f5081,f4146,f1933,f1199,f162,f152,f26077]) ).

fof(f26077,plain,
    ( spl3_1179
  <=> sdtpldt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sdtpldt0(sz10,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1179])]) ).

fof(f1199,plain,
    ( spl3_102
  <=> ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f4146,plain,
    ( spl3_303
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_303])]) ).

fof(f5081,plain,
    ( sdtpldt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sdtpldt0(sz10,xn),sK1)
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_156
    | ~ spl3_303 ),
    inference(forward_demodulation,[],[f5080,f1223]) ).

fof(f1223,plain,
    ( sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn)
    | ~ spl3_11
    | ~ spl3_102 ),
    inference(resolution,[],[f1200,f164]) ).

fof(f1200,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(X0,xn) )
    | ~ spl3_102 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f5080,plain,
    ( sdtasdt0(sdtpldt0(xn,sz10),sK1) = sdtpldt0(sdtasdt0(sK1,xn),sK1)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_303 ),
    inference(forward_demodulation,[],[f5068,f1935]) ).

fof(f5068,plain,
    ( sdtasdt0(sdtpldt0(xn,sz10),sK1) = sdtpldt0(sdtasdt0(xn,sK1),sK1)
    | ~ spl3_9
    | ~ spl3_303 ),
    inference(resolution,[],[f4147,f154]) ).

fof(f4147,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sK1) )
    | ~ spl3_303 ),
    inference(avatar_component_clause,[],[f4146]) ).

fof(f26074,plain,
    ( spl3_1178
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_151
    | ~ spl3_303 ),
    inference(avatar_split_clause,[],[f5079,f4146,f1851,f1190,f162,f147,f26071]) ).

fof(f26071,plain,
    ( spl3_1178
  <=> sdtpldt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sdtpldt0(sz10,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1178])]) ).

fof(f1190,plain,
    ( spl3_100
  <=> ! [X0] :
        ( sdtpldt0(xm,X0) = sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).

fof(f5079,plain,
    ( sdtpldt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sdtpldt0(sz10,xm),sK1)
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_151
    | ~ spl3_303 ),
    inference(forward_demodulation,[],[f5078,f1211]) ).

fof(f1211,plain,
    ( sdtpldt0(xm,sz10) = sdtpldt0(sz10,xm)
    | ~ spl3_11
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f164]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(X0,xm) )
    | ~ spl3_100 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f5078,plain,
    ( sdtasdt0(sdtpldt0(xm,sz10),sK1) = sdtpldt0(sdtasdt0(sK1,xm),sK1)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_303 ),
    inference(forward_demodulation,[],[f5067,f1853]) ).

fof(f5067,plain,
    ( sdtasdt0(sdtpldt0(xm,sz10),sK1) = sdtpldt0(sdtasdt0(xm,sK1),sK1)
    | ~ spl3_8
    | ~ spl3_303 ),
    inference(resolution,[],[f4147,f149]) ).

fof(f26067,plain,
    ( spl3_1177
    | ~ spl3_1
    | ~ spl3_303 ),
    inference(avatar_split_clause,[],[f5070,f4146,f112,f26064]) ).

fof(f26064,plain,
    ( spl3_1177
  <=> sdtasdt0(sdtpldt0(sK1,sz10),sK1) = sdtpldt0(sdtasdt0(sK1,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1177])]) ).

fof(f5070,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK1) = sdtpldt0(sdtasdt0(sK1,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_303 ),
    inference(resolution,[],[f4147,f114]) ).

fof(f26061,plain,
    ( spl3_1176
    | ~ spl3_2
    | ~ spl3_303 ),
    inference(avatar_split_clause,[],[f5069,f4146,f117,f26058]) ).

fof(f26058,plain,
    ( spl3_1176
  <=> sdtasdt0(sdtpldt0(sK0,sz10),sK1) = sdtpldt0(sdtasdt0(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1176])]) ).

fof(f5069,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK1) = sdtpldt0(sdtasdt0(sK0,sK1),sK1)
    | ~ spl3_2
    | ~ spl3_303 ),
    inference(resolution,[],[f4147,f119]) ).

fof(f26055,plain,
    ( spl3_1175
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_302 ),
    inference(avatar_split_clause,[],[f5058,f4142,f1794,f112,f26052]) ).

fof(f26052,plain,
    ( spl3_1175
  <=> sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1175])]) ).

fof(f4142,plain,
    ( spl3_302
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_302])]) ).

fof(f5058,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5046,f1796]) ).

fof(f5046,plain,
    ( sdtasdt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sdtasdt0(sK1,sK0),sK0)
    | ~ spl3_1
    | ~ spl3_302 ),
    inference(resolution,[],[f4143,f114]) ).

fof(f4143,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sK0) )
    | ~ spl3_302 ),
    inference(avatar_component_clause,[],[f4142]) ).

fof(f26049,plain,
    ( spl3_1174
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_137
    | ~ spl3_302 ),
    inference(avatar_split_clause,[],[f5057,f4142,f1674,f1199,f162,f152,f26046]) ).

fof(f26046,plain,
    ( spl3_1174
  <=> sdtpldt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sdtpldt0(sz10,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1174])]) ).

fof(f5057,plain,
    ( sdtpldt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sdtpldt0(sz10,xn),sK0)
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_137
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5056,f1223]) ).

fof(f5056,plain,
    ( sdtasdt0(sdtpldt0(xn,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,xn),sK0)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5044,f1676]) ).

fof(f5044,plain,
    ( sdtasdt0(sdtpldt0(xn,sz10),sK0) = sdtpldt0(sdtasdt0(xn,sK0),sK0)
    | ~ spl3_9
    | ~ spl3_302 ),
    inference(resolution,[],[f4143,f154]) ).

fof(f26043,plain,
    ( spl3_1173
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_131
    | ~ spl3_302 ),
    inference(avatar_split_clause,[],[f5055,f4142,f1589,f1190,f162,f147,f26040]) ).

fof(f26040,plain,
    ( spl3_1173
  <=> sdtpldt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sdtpldt0(sz10,xm),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1173])]) ).

fof(f5055,plain,
    ( sdtpldt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sdtpldt0(sz10,xm),sK0)
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_131
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5054,f1211]) ).

fof(f5054,plain,
    ( sdtasdt0(sdtpldt0(xm,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,xm),sK0)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5043,f1591]) ).

fof(f5043,plain,
    ( sdtasdt0(sdtpldt0(xm,sz10),sK0) = sdtpldt0(sdtasdt0(xm,sK0),sK0)
    | ~ spl3_8
    | ~ spl3_302 ),
    inference(resolution,[],[f4143,f149]) ).

fof(f26037,plain,
    ( spl3_1172
    | ~ spl3_2
    | ~ spl3_302 ),
    inference(avatar_split_clause,[],[f5045,f4142,f117,f26034]) ).

fof(f26034,plain,
    ( spl3_1172
  <=> sdtasdt0(sdtpldt0(sK0,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1172])]) ).

fof(f5045,plain,
    ( sdtasdt0(sdtpldt0(sK0,sz10),sK0) = sdtpldt0(sdtasdt0(sK0,sK0),sK0)
    | ~ spl3_2
    | ~ spl3_302 ),
    inference(resolution,[],[f4143,f119]) ).

fof(f26032,plain,
    ( spl3_1171
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_296 ),
    inference(avatar_split_clause,[],[f4921,f4117,f1794,f112,f26029]) ).

fof(f26029,plain,
    ( spl3_1171
  <=> sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1171])]) ).

fof(f4117,plain,
    ( spl3_296
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_296])]) ).

fof(f4921,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_296 ),
    inference(forward_demodulation,[],[f4908,f1796]) ).

fof(f4908,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,sK0),sdtasdt0(sK1,xn))
    | ~ spl3_1
    | ~ spl3_296 ),
    inference(resolution,[],[f4118,f114]) ).

fof(f4118,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xn)) )
    | ~ spl3_296 ),
    inference(avatar_component_clause,[],[f4117]) ).

fof(f26027,plain,
    ( spl3_1170
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_137
    | ~ spl3_296 ),
    inference(avatar_split_clause,[],[f4920,f4117,f1674,f1203,f152,f26024]) ).

fof(f26024,plain,
    ( spl3_1170
  <=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1170])]) ).

fof(f4920,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(xn,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_137
    | ~ spl3_296 ),
    inference(forward_demodulation,[],[f4919,f1240]) ).

fof(f4919,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(xn,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_296 ),
    inference(forward_demodulation,[],[f4906,f1676]) ).

fof(f4906,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,sK0),sdtasdt0(xn,xn))
    | ~ spl3_9
    | ~ spl3_296 ),
    inference(resolution,[],[f4118,f154]) ).

fof(f26022,plain,
    ( spl3_1169
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_296 ),
    inference(avatar_split_clause,[],[f4918,f4117,f1589,f147,f26019]) ).

fof(f26019,plain,
    ( spl3_1169
  <=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1169])]) ).

fof(f4918,plain,
    ( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(xm,xn))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_296 ),
    inference(forward_demodulation,[],[f4905,f1591]) ).

fof(f4905,plain,
    ( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,sK0),sdtasdt0(xm,xn))
    | ~ spl3_8
    | ~ spl3_296 ),
    inference(resolution,[],[f4118,f149]) ).

fof(f26017,plain,
    ( spl3_1168
    | ~ spl3_2
    | ~ spl3_296 ),
    inference(avatar_split_clause,[],[f4907,f4117,f117,f26014]) ).

fof(f26014,plain,
    ( spl3_1168
  <=> sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1168])]) ).

fof(f4907,plain,
    ( sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,xn))
    | ~ spl3_2
    | ~ spl3_296 ),
    inference(resolution,[],[f4118,f119]) ).

fof(f26011,plain,
    ( spl3_1167
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_156
    | ~ spl3_295 ),
    inference(avatar_split_clause,[],[f4897,f4113,f1933,f1203,f152,f26008]) ).

fof(f26008,plain,
    ( spl3_1167
  <=> sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1167])]) ).

fof(f4113,plain,
    ( spl3_295
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_295])]) ).

fof(f4897,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(xm,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_156
    | ~ spl3_295 ),
    inference(forward_demodulation,[],[f4896,f1935]) ).

fof(f4896,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(xm,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_295 ),
    inference(forward_demodulation,[],[f4883,f1240]) ).

fof(f4883,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,sK1),sdtasdt0(xn,xm))
    | ~ spl3_9
    | ~ spl3_295 ),
    inference(resolution,[],[f4114,f154]) ).

fof(f4114,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xm)) )
    | ~ spl3_295 ),
    inference(avatar_component_clause,[],[f4113]) ).

fof(f26006,plain,
    ( spl3_1166
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_295 ),
    inference(avatar_split_clause,[],[f4895,f4113,f1851,f147,f26003]) ).

fof(f26003,plain,
    ( spl3_1166
  <=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1166])]) ).

fof(f4895,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(xm,xm))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_295 ),
    inference(forward_demodulation,[],[f4882,f1853]) ).

fof(f4882,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,sK1),sdtasdt0(xm,xm))
    | ~ spl3_8
    | ~ spl3_295 ),
    inference(resolution,[],[f4114,f149]) ).

fof(f26001,plain,
    ( spl3_1165
    | ~ spl3_1
    | ~ spl3_295 ),
    inference(avatar_split_clause,[],[f4885,f4113,f112,f25998]) ).

fof(f25998,plain,
    ( spl3_1165
  <=> sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1165])]) ).

fof(f4885,plain,
    ( sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,sK1),sdtasdt0(sK1,xm))
    | ~ spl3_1
    | ~ spl3_295 ),
    inference(resolution,[],[f4114,f114]) ).

fof(f25996,plain,
    ( spl3_1164
    | ~ spl3_2
    | ~ spl3_295 ),
    inference(avatar_split_clause,[],[f4884,f4113,f117,f25993]) ).

fof(f25993,plain,
    ( spl3_1164
  <=> sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1164])]) ).

fof(f4884,plain,
    ( sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,xm))
    | ~ spl3_2
    | ~ spl3_295 ),
    inference(resolution,[],[f4114,f119]) ).

fof(f25990,plain,
    ( spl3_1163
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_285 ),
    inference(avatar_split_clause,[],[f4874,f4056,f1512,f152,f25987]) ).

fof(f25987,plain,
    ( spl3_1163
  <=> sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1163])]) ).

fof(f4056,plain,
    ( spl3_285
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(X0,sK1),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_285])]) ).

fof(f4874,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,xn),sz10)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_285 ),
    inference(forward_demodulation,[],[f4864,f1514]) ).

fof(f4864,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(xn,sK1),sz10)
    | ~ spl3_9
    | ~ spl3_285 ),
    inference(resolution,[],[f4057,f154]) ).

fof(f4057,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(X0,sK1),sz10) )
    | ~ spl3_285 ),
    inference(avatar_component_clause,[],[f4056]) ).

fof(f25984,plain,
    ( spl3_1162
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_285 ),
    inference(avatar_split_clause,[],[f4871,f4056,f1437,f162,f25981]) ).

fof(f25981,plain,
    ( spl3_1162
  <=> sdtpldt0(sz10,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1162])]) ).

fof(f4871,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_285 ),
    inference(forward_demodulation,[],[f4859,f1439]) ).

fof(f4859,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sz10,sK1),sz10)
    | ~ spl3_11
    | ~ spl3_285 ),
    inference(resolution,[],[f4057,f164]) ).

fof(f25979,plain,
    ( spl3_1161
    | ~ spl3_1
    | ~ spl3_285 ),
    inference(avatar_split_clause,[],[f4866,f4056,f112,f25976]) ).

fof(f25976,plain,
    ( spl3_1161
  <=> sdtpldt0(sK1,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1161])]) ).

fof(f4866,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK1,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_285 ),
    inference(resolution,[],[f4057,f114]) ).

fof(f25974,plain,
    ( spl3_1160
    | ~ spl3_2
    | ~ spl3_285 ),
    inference(avatar_split_clause,[],[f4865,f4056,f117,f25971]) ).

fof(f4865,plain,
    ( sdtpldt0(sK0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10)
    | ~ spl3_2
    | ~ spl3_285 ),
    inference(resolution,[],[f4057,f119]) ).

fof(f25968,plain,
    ( spl3_1159
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_284 ),
    inference(avatar_split_clause,[],[f4854,f4052,f1368,f112,f25965]) ).

fof(f25965,plain,
    ( spl3_1159
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1159])]) ).

fof(f4052,plain,
    ( spl3_284
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(X0,sK0),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_284])]) ).

fof(f4854,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_284 ),
    inference(forward_demodulation,[],[f4845,f1370]) ).

fof(f4845,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK1,sK0),sz10)
    | ~ spl3_1
    | ~ spl3_284 ),
    inference(resolution,[],[f4053,f114]) ).

fof(f4053,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(X0,sK0),sz10) )
    | ~ spl3_284 ),
    inference(avatar_component_clause,[],[f4052]) ).

fof(f25962,plain,
    ( spl3_1158
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_284 ),
    inference(avatar_split_clause,[],[f4851,f4052,f1271,f147,f25959]) ).

fof(f25959,plain,
    ( spl3_1158
  <=> sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1158])]) ).

fof(f4851,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,xm),sz10)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_284 ),
    inference(forward_demodulation,[],[f4842,f1273]) ).

fof(f4842,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(xm,sK0),sz10)
    | ~ spl3_8
    | ~ spl3_284 ),
    inference(resolution,[],[f4053,f149]) ).

fof(f25955,plain,
    ( spl3_1157
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_284 ),
    inference(avatar_split_clause,[],[f4850,f4052,f1194,f162,f25952]) ).

fof(f25952,plain,
    ( spl3_1157
  <=> sdtpldt0(sz10,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1157])]) ).

fof(f4850,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_284 ),
    inference(forward_demodulation,[],[f4838,f1196]) ).

fof(f4838,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sz10,sK0),sz10)
    | ~ spl3_11
    | ~ spl3_284 ),
    inference(resolution,[],[f4053,f164]) ).

fof(f25950,plain,
    ( spl3_1156
    | ~ spl3_2
    | ~ spl3_284 ),
    inference(avatar_split_clause,[],[f4844,f4052,f117,f25947]) ).

fof(f25947,plain,
    ( spl3_1156
  <=> sdtpldt0(sK0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sK0),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1156])]) ).

fof(f4844,plain,
    ( sdtpldt0(sK0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sK0),sz10)
    | ~ spl3_2
    | ~ spl3_284 ),
    inference(resolution,[],[f4053,f119]) ).

fof(f25944,plain,
    ( spl3_1155
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_283 ),
    inference(avatar_split_clause,[],[f4832,f4048,f1512,f152,f25941]) ).

fof(f25941,plain,
    ( spl3_1155
  <=> sdtpldt0(xn,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1155])]) ).

fof(f4048,plain,
    ( spl3_283
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(X0,sK1),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_283])]) ).

fof(f4832,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_283 ),
    inference(forward_demodulation,[],[f4823,f1514]) ).

fof(f4823,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(xn,sK1),xn)
    | ~ spl3_9
    | ~ spl3_283 ),
    inference(resolution,[],[f4049,f154]) ).

fof(f4049,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(X0,sK1),xn) )
    | ~ spl3_283 ),
    inference(avatar_component_clause,[],[f4048]) ).

fof(f25938,plain,
    ( spl3_1154
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_283 ),
    inference(avatar_split_clause,[],[f4830,f4048,f1437,f162,f25935]) ).

fof(f25935,plain,
    ( spl3_1154
  <=> sdtpldt0(sz10,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,sz10),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1154])]) ).

fof(f4830,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,sz10),xn)
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_283 ),
    inference(forward_demodulation,[],[f4818,f1439]) ).

fof(f4818,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sz10,sK1),xn)
    | ~ spl3_11
    | ~ spl3_283 ),
    inference(resolution,[],[f4049,f164]) ).

fof(f25933,plain,
    ( spl3_1153
    | ~ spl3_1
    | ~ spl3_283 ),
    inference(avatar_split_clause,[],[f4825,f4048,f112,f25930]) ).

fof(f25930,plain,
    ( spl3_1153
  <=> sdtpldt0(sK1,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1153])]) ).

fof(f4825,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(sK1,sK1),xn)
    | ~ spl3_1
    | ~ spl3_283 ),
    inference(resolution,[],[f4049,f114]) ).

fof(f25927,plain,
    ( spl3_1152
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_282 ),
    inference(avatar_split_clause,[],[f4809,f4044,f1271,f147,f25924]) ).

fof(f25924,plain,
    ( spl3_1152
  <=> sdtpldt0(xm,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1152])]) ).

fof(f4044,plain,
    ( spl3_282
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(X0,sK0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_282])]) ).

fof(f4809,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_282 ),
    inference(forward_demodulation,[],[f4800,f1273]) ).

fof(f4800,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(xm,sK0),xm)
    | ~ spl3_8
    | ~ spl3_282 ),
    inference(resolution,[],[f4045,f149]) ).

fof(f4045,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(X0,sK0),xm) )
    | ~ spl3_282 ),
    inference(avatar_component_clause,[],[f4044]) ).

fof(f25921,plain,
    ( spl3_1151
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_282 ),
    inference(avatar_split_clause,[],[f4808,f4044,f1194,f162,f25918]) ).

fof(f25918,plain,
    ( spl3_1151
  <=> sdtpldt0(sz10,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,sz10),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1151])]) ).

fof(f4808,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,sz10),xm)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_282 ),
    inference(forward_demodulation,[],[f4796,f1196]) ).

fof(f4796,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sz10,sK0),xm)
    | ~ spl3_11
    | ~ spl3_282 ),
    inference(resolution,[],[f4045,f164]) ).

fof(f25916,plain,
    ( spl3_1150
    | ~ spl3_2
    | ~ spl3_282 ),
    inference(avatar_split_clause,[],[f4802,f4044,f117,f25913]) ).

fof(f25913,plain,
    ( spl3_1150
  <=> sdtpldt0(sK0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,sK0),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1150])]) ).

fof(f4802,plain,
    ( sdtpldt0(sK0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(sK0,sK0),xm)
    | ~ spl3_2
    | ~ spl3_282 ),
    inference(resolution,[],[f4045,f119]) ).

fof(f25910,plain,
    ( spl3_1149
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_281 ),
    inference(avatar_split_clause,[],[f4792,f4040,f1933,f152,f25907]) ).

fof(f25907,plain,
    ( spl3_1149
  <=> sdtasdt0(xn,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1149])]) ).

fof(f4040,plain,
    ( spl3_281
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(X0,sK1),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_281])]) ).

fof(f4792,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_281 ),
    inference(forward_demodulation,[],[f4782,f1935]) ).

fof(f4782,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(xn,sK1),xn)
    | ~ spl3_9
    | ~ spl3_281 ),
    inference(resolution,[],[f4041,f154]) ).

fof(f4041,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(X0,sK1),xn) )
    | ~ spl3_281 ),
    inference(avatar_component_clause,[],[f4040]) ).

fof(f25904,plain,
    ( spl3_1148
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_281 ),
    inference(avatar_split_clause,[],[f4791,f4040,f1851,f147,f25901]) ).

fof(f25901,plain,
    ( spl3_1148
  <=> sdtasdt0(xm,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1148])]) ).

fof(f4791,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,xm),xn)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_281 ),
    inference(forward_demodulation,[],[f4781,f1853]) ).

fof(f4781,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(xm,sK1),xn)
    | ~ spl3_8
    | ~ spl3_281 ),
    inference(resolution,[],[f4041,f149]) ).

fof(f25898,plain,
    ( spl3_1147
    | ~ spl3_1
    | ~ spl3_281 ),
    inference(avatar_split_clause,[],[f4784,f4040,f112,f25895]) ).

fof(f25895,plain,
    ( spl3_1147
  <=> sdtasdt0(sK1,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1147])]) ).

fof(f4784,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK1,sK1),xn)
    | ~ spl3_1
    | ~ spl3_281 ),
    inference(resolution,[],[f4041,f114]) ).

fof(f25893,plain,
    ( spl3_1146
    | ~ spl3_2
    | ~ spl3_281 ),
    inference(avatar_split_clause,[],[f4783,f4040,f117,f25890]) ).

fof(f25890,plain,
    ( spl3_1146
  <=> sdtasdt0(sK0,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK0,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1146])]) ).

fof(f4783,plain,
    ( sdtasdt0(sK0,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(sK0,sK1),xn)
    | ~ spl3_2
    | ~ spl3_281 ),
    inference(resolution,[],[f4041,f119]) ).

fof(f25887,plain,
    ( spl3_1145
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_280 ),
    inference(avatar_split_clause,[],[f4772,f4036,f1794,f112,f25884]) ).

fof(f25884,plain,
    ( spl3_1145
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1145])]) ).

fof(f4036,plain,
    ( spl3_280
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(X0,sK0),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_280])]) ).

fof(f4772,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,sK1),xn)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_280 ),
    inference(forward_demodulation,[],[f4763,f1796]) ).

fof(f4763,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK1,sK0),xn)
    | ~ spl3_1
    | ~ spl3_280 ),
    inference(resolution,[],[f4037,f114]) ).

fof(f4037,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(X0,sK0),xn) )
    | ~ spl3_280 ),
    inference(avatar_component_clause,[],[f4036]) ).

fof(f25881,plain,
    ( spl3_1144
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_280 ),
    inference(avatar_split_clause,[],[f4771,f4036,f1674,f152,f25878]) ).

fof(f25878,plain,
    ( spl3_1144
  <=> sdtasdt0(xn,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1144])]) ).

fof(f4771,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xn),xn)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_280 ),
    inference(forward_demodulation,[],[f4761,f1676]) ).

fof(f4761,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(xn,sK0),xn)
    | ~ spl3_9
    | ~ spl3_280 ),
    inference(resolution,[],[f4037,f154]) ).

fof(f25875,plain,
    ( spl3_1143
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_280 ),
    inference(avatar_split_clause,[],[f4770,f4036,f1589,f147,f25872]) ).

fof(f25872,plain,
    ( spl3_1143
  <=> sdtasdt0(xm,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1143])]) ).

fof(f4770,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xm),xn)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_280 ),
    inference(forward_demodulation,[],[f4760,f1591]) ).

fof(f4760,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(xm,sK0),xn)
    | ~ spl3_8
    | ~ spl3_280 ),
    inference(resolution,[],[f4037,f149]) ).

fof(f25870,plain,
    ( spl3_1142
    | ~ spl3_2
    | ~ spl3_280 ),
    inference(avatar_split_clause,[],[f4762,f4036,f117,f25867]) ).

fof(f25867,plain,
    ( spl3_1142
  <=> sdtasdt0(sK0,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,sK0),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1142])]) ).

fof(f4762,plain,
    ( sdtasdt0(sK0,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,sK0),xn)
    | ~ spl3_2
    | ~ spl3_280 ),
    inference(resolution,[],[f4037,f119]) ).

fof(f25864,plain,
    ( spl3_1141
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_279 ),
    inference(avatar_split_clause,[],[f4752,f4032,f1933,f152,f25861]) ).

fof(f25861,plain,
    ( spl3_1141
  <=> sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1141])]) ).

fof(f4032,plain,
    ( spl3_279
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(X0,sK1),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_279])]) ).

fof(f4752,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,xn),xm)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_279 ),
    inference(forward_demodulation,[],[f4742,f1935]) ).

fof(f4742,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(xn,sK1),xm)
    | ~ spl3_9
    | ~ spl3_279 ),
    inference(resolution,[],[f4033,f154]) ).

fof(f4033,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(X0,sK1),xm) )
    | ~ spl3_279 ),
    inference(avatar_component_clause,[],[f4032]) ).

fof(f25858,plain,
    ( spl3_1140
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_279 ),
    inference(avatar_split_clause,[],[f4751,f4032,f1851,f147,f25855]) ).

fof(f25855,plain,
    ( spl3_1140
  <=> sdtasdt0(xm,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1140])]) ).

fof(f4751,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,xm),xm)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_279 ),
    inference(forward_demodulation,[],[f4741,f1853]) ).

fof(f4741,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(xm,sK1),xm)
    | ~ spl3_8
    | ~ spl3_279 ),
    inference(resolution,[],[f4033,f149]) ).

fof(f25853,plain,
    ( spl3_1139
    | ~ spl3_1
    | ~ spl3_279 ),
    inference(avatar_split_clause,[],[f4744,f4032,f112,f25850]) ).

fof(f25850,plain,
    ( spl3_1139
  <=> sdtasdt0(sK1,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1139])]) ).

fof(f4744,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK1,sK1),xm)
    | ~ spl3_1
    | ~ spl3_279 ),
    inference(resolution,[],[f4033,f114]) ).

fof(f25848,plain,
    ( spl3_1138
    | ~ spl3_2
    | ~ spl3_279 ),
    inference(avatar_split_clause,[],[f4743,f4032,f117,f25845]) ).

fof(f25845,plain,
    ( spl3_1138
  <=> sdtasdt0(sK0,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK0,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1138])]) ).

fof(f4743,plain,
    ( sdtasdt0(sK0,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(sK0,sK1),xm)
    | ~ spl3_2
    | ~ spl3_279 ),
    inference(resolution,[],[f4033,f119]) ).

fof(f25841,plain,
    ( spl3_1137
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_278 ),
    inference(avatar_split_clause,[],[f4732,f4028,f1794,f112,f25838]) ).

fof(f25838,plain,
    ( spl3_1137
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1137])]) ).

fof(f4028,plain,
    ( spl3_278
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(X0,sK0),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_278])]) ).

fof(f4732,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,sK1),xm)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_278 ),
    inference(forward_demodulation,[],[f4723,f1796]) ).

fof(f4723,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK1,sK0),xm)
    | ~ spl3_1
    | ~ spl3_278 ),
    inference(resolution,[],[f4029,f114]) ).

fof(f4029,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(X0,sK0),xm) )
    | ~ spl3_278 ),
    inference(avatar_component_clause,[],[f4028]) ).

fof(f25835,plain,
    ( spl3_1136
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_278 ),
    inference(avatar_split_clause,[],[f4731,f4028,f1674,f152,f25832]) ).

fof(f25832,plain,
    ( spl3_1136
  <=> sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1136])]) ).

fof(f4731,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xn),xm)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_278 ),
    inference(forward_demodulation,[],[f4721,f1676]) ).

fof(f4721,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(xn,sK0),xm)
    | ~ spl3_9
    | ~ spl3_278 ),
    inference(resolution,[],[f4029,f154]) ).

fof(f25829,plain,
    ( spl3_1135
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_278 ),
    inference(avatar_split_clause,[],[f4730,f4028,f1589,f147,f25826]) ).

fof(f25826,plain,
    ( spl3_1135
  <=> sdtasdt0(xm,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1135])]) ).

fof(f4730,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_278 ),
    inference(forward_demodulation,[],[f4720,f1591]) ).

fof(f4720,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(xm,sK0),xm)
    | ~ spl3_8
    | ~ spl3_278 ),
    inference(resolution,[],[f4029,f149]) ).

fof(f25824,plain,
    ( spl3_1134
    | ~ spl3_2
    | ~ spl3_278 ),
    inference(avatar_split_clause,[],[f4722,f4028,f117,f25821]) ).

fof(f25821,plain,
    ( spl3_1134
  <=> sdtasdt0(sK0,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,sK0),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1134])]) ).

fof(f4722,plain,
    ( sdtasdt0(sK0,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,sK0),xm)
    | ~ spl3_2
    | ~ spl3_278 ),
    inference(resolution,[],[f4029,f119]) ).

fof(f25819,plain,
    ( spl3_1133
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_156
    | ~ spl3_272 ),
    inference(avatar_split_clause,[],[f4583,f4003,f1933,f1203,f152,f25816]) ).

fof(f25816,plain,
    ( spl3_1133
  <=> sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1133])]) ).

fof(f4003,plain,
    ( spl3_272
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_272])]) ).

fof(f4583,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_156
    | ~ spl3_272 ),
    inference(forward_demodulation,[],[f4582,f1240]) ).

fof(f4582,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_272 ),
    inference(forward_demodulation,[],[f4569,f1935]) ).

fof(f4569,plain,
    ( sdtasdt0(xn,xn) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xn,sK1))
    | ~ spl3_9
    | ~ spl3_272 ),
    inference(resolution,[],[f4004,f154]) ).

fof(f4004,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK1)) )
    | ~ spl3_272 ),
    inference(avatar_component_clause,[],[f4003]) ).

fof(f25814,plain,
    ( spl3_1132
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_272 ),
    inference(avatar_split_clause,[],[f4581,f4003,f1851,f147,f25811]) ).

fof(f25811,plain,
    ( spl3_1132
  <=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1132])]) ).

fof(f4581,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_272 ),
    inference(forward_demodulation,[],[f4568,f1853]) ).

fof(f4568,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(xm,sK1))
    | ~ spl3_8
    | ~ spl3_272 ),
    inference(resolution,[],[f4004,f149]) ).

fof(f25809,plain,
    ( spl3_1131
    | ~ spl3_1
    | ~ spl3_272 ),
    inference(avatar_split_clause,[],[f4571,f4003,f112,f25806]) ).

fof(f25806,plain,
    ( spl3_1131
  <=> sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1131])]) ).

fof(f4571,plain,
    ( sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,xm),sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_272 ),
    inference(resolution,[],[f4004,f114]) ).

fof(f25804,plain,
    ( spl3_1130
    | ~ spl3_2
    | ~ spl3_272 ),
    inference(avatar_split_clause,[],[f4570,f4003,f117,f25801]) ).

fof(f25801,plain,
    ( spl3_1130
  <=> sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1130])]) ).

fof(f4570,plain,
    ( sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,xm),sdtasdt0(sK0,sK1))
    | ~ spl3_2
    | ~ spl3_272 ),
    inference(resolution,[],[f4004,f119]) ).

fof(f25799,plain,
    ( spl3_1129
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_270 ),
    inference(avatar_split_clause,[],[f4533,f3995,f1794,f112,f25796]) ).

fof(f25796,plain,
    ( spl3_1129
  <=> sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1129])]) ).

fof(f3995,plain,
    ( spl3_270
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_270])]) ).

fof(f4533,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_270 ),
    inference(forward_demodulation,[],[f4520,f1796]) ).

fof(f4520,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,xn),sdtasdt0(sK1,sK0))
    | ~ spl3_1
    | ~ spl3_270 ),
    inference(resolution,[],[f3996,f114]) ).

fof(f3996,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK0)) )
    | ~ spl3_270 ),
    inference(avatar_component_clause,[],[f3995]) ).

fof(f25794,plain,
    ( spl3_1128
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_137
    | ~ spl3_270 ),
    inference(avatar_split_clause,[],[f4532,f3995,f1674,f1203,f152,f25791]) ).

fof(f25791,plain,
    ( spl3_1128
  <=> sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1128])]) ).

fof(f4532,plain,
    ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_137
    | ~ spl3_270 ),
    inference(forward_demodulation,[],[f4531,f1240]) ).

fof(f4531,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_270 ),
    inference(forward_demodulation,[],[f4518,f1676]) ).

fof(f4518,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xn),sdtasdt0(xn,sK0))
    | ~ spl3_9
    | ~ spl3_270 ),
    inference(resolution,[],[f3996,f154]) ).

fof(f25788,plain,
    ( spl3_1127
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_270 ),
    inference(avatar_split_clause,[],[f4530,f3995,f1589,f147,f25785]) ).

fof(f25785,plain,
    ( spl3_1127
  <=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1127])]) ).

fof(f4530,plain,
    ( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_270 ),
    inference(forward_demodulation,[],[f4517,f1591]) ).

fof(f4517,plain,
    ( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,sK0))
    | ~ spl3_8
    | ~ spl3_270 ),
    inference(resolution,[],[f3996,f149]) ).

fof(f25783,plain,
    ( spl3_1126
    | ~ spl3_2
    | ~ spl3_270 ),
    inference(avatar_split_clause,[],[f4519,f3995,f117,f25780]) ).

fof(f25780,plain,
    ( spl3_1126
  <=> sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1126])]) ).

fof(f4519,plain,
    ( sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,xn),sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_270 ),
    inference(resolution,[],[f3996,f119]) ).

fof(f25778,plain,
    ( spl3_1125
    | ~ spl3_1
    | ~ spl3_268 ),
    inference(avatar_split_clause,[],[f4471,f3987,f112,f25775]) ).

fof(f25775,plain,
    ( spl3_1125
  <=> sdtpldt0(sdtpldt0(sK1,xn),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1125])]) ).

fof(f25773,plain,
    ( spl3_1124
    | ~ spl3_9
    | ~ spl3_268 ),
    inference(avatar_split_clause,[],[f4469,f3987,f152,f25770]) ).

fof(f25770,plain,
    ( spl3_1124
  <=> sdtpldt0(sdtpldt0(xn,xn),sK1) = sdtpldt0(xn,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1124])]) ).

fof(f4469,plain,
    ( sdtpldt0(sdtpldt0(xn,xn),sK1) = sdtpldt0(xn,sdtpldt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_268 ),
    inference(resolution,[],[f3988,f154]) ).

fof(f25768,plain,
    ( spl3_1123
    | ~ spl3_11
    | ~ spl3_268 ),
    inference(avatar_split_clause,[],[f4464,f3987,f162,f25765]) ).

fof(f25765,plain,
    ( spl3_1123
  <=> sdtpldt0(sdtpldt0(sz10,xn),sK1) = sdtpldt0(sz10,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1123])]) ).

fof(f25762,plain,
    ( spl3_1122
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_267 ),
    inference(avatar_split_clause,[],[f4460,f3983,f1199,f162,f152,f25759]) ).

fof(f4460,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(sz10,xn),sK1)
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_267 ),
    inference(forward_demodulation,[],[f4450,f1223]) ).

fof(f4450,plain,
    ( sdtpldt0(sdtpldt0(xn,sz10),sK1) = sdtpldt0(xn,sdtpldt0(sK1,sz10))
    | ~ spl3_9
    | ~ spl3_267 ),
    inference(resolution,[],[f3984,f154]) ).

fof(f25757,plain,
    ( spl3_1121
    | ~ spl3_1
    | ~ spl3_267 ),
    inference(avatar_split_clause,[],[f4452,f3983,f112,f25754]) ).

fof(f25754,plain,
    ( spl3_1121
  <=> sdtpldt0(sdtpldt0(sK1,sz10),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1121])]) ).

fof(f25752,plain,
    ( spl3_1120
    | ~ spl3_2
    | ~ spl3_267 ),
    inference(avatar_split_clause,[],[f4451,f3983,f117,f25749]) ).

fof(f25749,plain,
    ( spl3_1120
  <=> sdtpldt0(sdtpldt0(sK0,sz10),sK1) = sdtpldt0(sK0,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1120])]) ).

fof(f25747,plain,
    ( spl3_1119
    | ~ spl3_11
    | ~ spl3_267 ),
    inference(avatar_split_clause,[],[f4445,f3983,f162,f25744]) ).

fof(f25744,plain,
    ( spl3_1119
  <=> sdtpldt0(sdtpldt0(sz10,sz10),sK1) = sdtpldt0(sz10,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1119])]) ).

fof(f4445,plain,
    ( sdtpldt0(sdtpldt0(sz10,sz10),sK1) = sdtpldt0(sz10,sdtpldt0(sK1,sz10))
    | ~ spl3_11
    | ~ spl3_267 ),
    inference(resolution,[],[f3984,f164]) ).

fof(f25741,plain,
    ( spl3_1118
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_266 ),
    inference(avatar_split_clause,[],[f4436,f3979,f1512,f152,f25738]) ).

fof(f4436,plain,
    ( sdtpldt0(xn,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,xn),sK1)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_266 ),
    inference(forward_demodulation,[],[f4426,f1514]) ).

fof(f4426,plain,
    ( sdtpldt0(sdtpldt0(xn,sK1),sK1) = sdtpldt0(xn,sdtpldt0(sK1,sK1))
    | ~ spl3_9
    | ~ spl3_266 ),
    inference(resolution,[],[f3980,f154]) ).

fof(f25736,plain,
    ( spl3_1117
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_1019 ),
    inference(avatar_split_clause,[],[f25038,f20446,f1512,f152,f25733]) ).

fof(f25733,plain,
    ( spl3_1117
  <=> sK1 = sdtmndt0(sdtpldt0(sK1,xn),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1117])]) ).

fof(f20446,plain,
    ( spl3_1019
  <=> ! [X0] :
        ( sK1 = sdtmndt0(sdtpldt0(X0,sK1),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1019])]) ).

fof(f25038,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sK1,xn),xn)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_1019 ),
    inference(forward_demodulation,[],[f25027,f1514]) ).

fof(f25027,plain,
    ( sK1 = sdtmndt0(sdtpldt0(xn,sK1),xn)
    | ~ spl3_9
    | ~ spl3_1019 ),
    inference(resolution,[],[f20447,f154]) ).

fof(f20447,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK1 = sdtmndt0(sdtpldt0(X0,sK1),X0) )
    | ~ spl3_1019 ),
    inference(avatar_component_clause,[],[f20446]) ).

fof(f25730,plain,
    ( spl3_1116
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_266 ),
    inference(avatar_split_clause,[],[f4433,f3979,f1437,f162,f25727]) ).

fof(f4433,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtpldt0(sK1,sz10),sK1)
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_266 ),
    inference(forward_demodulation,[],[f4421,f1439]) ).

fof(f4421,plain,
    ( sdtpldt0(sdtpldt0(sz10,sK1),sK1) = sdtpldt0(sz10,sdtpldt0(sK1,sK1))
    | ~ spl3_11
    | ~ spl3_266 ),
    inference(resolution,[],[f3980,f164]) ).

fof(f25725,plain,
    ( spl3_1115
    | ~ spl3_1
    | ~ spl3_266 ),
    inference(avatar_split_clause,[],[f4428,f3979,f112,f25722]) ).

fof(f25722,plain,
    ( spl3_1115
  <=> sdtpldt0(sdtpldt0(sK1,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1115])]) ).

fof(f4428,plain,
    ( sdtpldt0(sdtpldt0(sK1,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_266 ),
    inference(resolution,[],[f3980,f114]) ).

fof(f25720,plain,
    ( spl3_1114
    | ~ spl3_2
    | ~ spl3_266 ),
    inference(avatar_split_clause,[],[f4427,f3979,f117,f25717]) ).

fof(f25717,plain,
    ( spl3_1114
  <=> sdtpldt0(sdtpldt0(sK0,sK1),sK1) = sdtpldt0(sK0,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1114])]) ).

fof(f25714,plain,
    ( spl3_1113
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_265 ),
    inference(avatar_split_clause,[],[f4416,f3975,f1368,f112,f25711]) ).

fof(f3975,plain,
    ( spl3_265
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(X0,sK0),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_265])]) ).

fof(f4416,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_265 ),
    inference(forward_demodulation,[],[f4405,f1370]) ).

fof(f4405,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK1,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_265 ),
    inference(resolution,[],[f3976,f114]) ).

fof(f3976,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(X0,sK0),sK1) )
    | ~ spl3_265 ),
    inference(avatar_component_clause,[],[f3975]) ).

fof(f25708,plain,
    ( spl3_1112
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_120
    | ~ spl3_261
    | ~ spl3_263
    | ~ spl3_265 ),
    inference(avatar_split_clause,[],[f4411,f3975,f3966,f3958,f1437,f1194,f162,f112,f25705]) ).

fof(f4411,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sK0,sz10),sK1)
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_120
    | ~ spl3_261
    | ~ spl3_263
    | ~ spl3_265 ),
    inference(forward_demodulation,[],[f4410,f4390]) ).

fof(f4390,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sz10,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_261
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4389,f4342]) ).

fof(f4342,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,sz10))
    | ~ spl3_1
    | ~ spl3_261 ),
    inference(resolution,[],[f3959,f114]) ).

fof(f4389,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4376,f1439]) ).

fof(f4376,plain,
    ( sdtpldt0(sdtpldt0(sz10,sK1),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,sK1))
    | ~ spl3_11
    | ~ spl3_263 ),
    inference(resolution,[],[f3967,f164]) ).

fof(f4410,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sz10),sK1)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_265 ),
    inference(forward_demodulation,[],[f4398,f1196]) ).

fof(f4398,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sz10,sK0),sK1)
    | ~ spl3_11
    | ~ spl3_265 ),
    inference(resolution,[],[f3976,f164]) ).

fof(f25703,plain,
    ( spl3_1111
    | ~ spl3_2
    | ~ spl3_265 ),
    inference(avatar_split_clause,[],[f4404,f3975,f117,f25700]) ).

fof(f25700,plain,
    ( spl3_1111
  <=> sdtpldt0(sK0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1111])]) ).

fof(f4404,plain,
    ( sdtpldt0(sK0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(sK0,sK0),sK1)
    | ~ spl3_2
    | ~ spl3_265 ),
    inference(resolution,[],[f3976,f119]) ).

fof(f25698,plain,
    ( spl3_1110
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_261
    | ~ spl3_263 ),
    inference(avatar_split_clause,[],[f4390,f3966,f3958,f1437,f162,f112,f25695]) ).

fof(f25695,plain,
    ( spl3_1110
  <=> sdtpldt0(sK1,sdtpldt0(sK0,sz10)) = sdtpldt0(sz10,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1110])]) ).

fof(f25693,plain,
    ( spl3_1109
    | ~ spl3_1
    | ~ spl3_263 ),
    inference(avatar_split_clause,[],[f4383,f3966,f112,f25690]) ).

fof(f25690,plain,
    ( spl3_1109
  <=> sdtpldt0(sdtpldt0(sK1,sK1),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1109])]) ).

fof(f4383,plain,
    ( sdtpldt0(sdtpldt0(sK1,sK1),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_263 ),
    inference(resolution,[],[f3967,f114]) ).

fof(f25688,plain,
    ( spl3_1108
    | ~ spl3_2
    | ~ spl3_263 ),
    inference(avatar_split_clause,[],[f4382,f3966,f117,f25685]) ).

fof(f25685,plain,
    ( spl3_1108
  <=> sdtpldt0(sdtpldt0(sK0,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1108])]) ).

fof(f25683,plain,
    ( spl3_1107
    | ~ spl3_2
    | ~ spl3_262 ),
    inference(avatar_split_clause,[],[f4360,f3962,f117,f25680]) ).

fof(f25680,plain,
    ( spl3_1107
  <=> sdtpldt0(sdtpldt0(sK0,xm),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1107])]) ).

fof(f25678,plain,
    ( spl3_1106
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_1019 ),
    inference(avatar_split_clause,[],[f25036,f20446,f1437,f162,f25675]) ).

fof(f25675,plain,
    ( spl3_1106
  <=> sK1 = sdtmndt0(sdtpldt0(sK1,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1106])]) ).

fof(f25036,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sK1,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_1019 ),
    inference(forward_demodulation,[],[f25022,f1439]) ).

fof(f25022,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sz10,sK1),sz10)
    | ~ spl3_11
    | ~ spl3_1019 ),
    inference(resolution,[],[f20447,f164]) ).

fof(f25673,plain,
    ( spl3_1105
    | ~ spl3_8
    | ~ spl3_262 ),
    inference(avatar_split_clause,[],[f4358,f3962,f147,f25670]) ).

fof(f25670,plain,
    ( spl3_1105
  <=> sdtpldt0(sdtpldt0(xm,xm),sK0) = sdtpldt0(xm,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1105])]) ).

fof(f4358,plain,
    ( sdtpldt0(sdtpldt0(xm,xm),sK0) = sdtpldt0(xm,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_262 ),
    inference(resolution,[],[f3963,f149]) ).

fof(f25668,plain,
    ( spl3_1104
    | ~ spl3_11
    | ~ spl3_262 ),
    inference(avatar_split_clause,[],[f4354,f3962,f162,f25665]) ).

fof(f25665,plain,
    ( spl3_1104
  <=> sdtpldt0(sdtpldt0(sz10,xm),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1104])]) ).

fof(f25662,plain,
    ( spl3_1103
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_261 ),
    inference(avatar_split_clause,[],[f4348,f3958,f1190,f162,f147,f25659]) ).

fof(f4348,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(sz10,xm),sK0)
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_261 ),
    inference(forward_demodulation,[],[f4339,f1211]) ).

fof(f4339,plain,
    ( sdtpldt0(sdtpldt0(xm,sz10),sK0) = sdtpldt0(xm,sdtpldt0(sK0,sz10))
    | ~ spl3_8
    | ~ spl3_261 ),
    inference(resolution,[],[f3959,f149]) ).

fof(f25657,plain,
    ( spl3_1102
    | ~ spl3_1
    | ~ spl3_261 ),
    inference(avatar_split_clause,[],[f4342,f3958,f112,f25654]) ).

fof(f25654,plain,
    ( spl3_1102
  <=> sdtpldt0(sdtpldt0(sK1,sz10),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1102])]) ).

fof(f25652,plain,
    ( spl3_1101
    | ~ spl3_2
    | ~ spl3_261 ),
    inference(avatar_split_clause,[],[f4341,f3958,f117,f25649]) ).

fof(f25649,plain,
    ( spl3_1101
  <=> sdtpldt0(sdtpldt0(sK0,sz10),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1101])]) ).

fof(f25647,plain,
    ( spl3_1100
    | ~ spl3_11
    | ~ spl3_261 ),
    inference(avatar_split_clause,[],[f4335,f3958,f162,f25644]) ).

fof(f25644,plain,
    ( spl3_1100
  <=> sdtpldt0(sdtpldt0(sz10,sz10),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1100])]) ).

fof(f4335,plain,
    ( sdtpldt0(sdtpldt0(sz10,sz10),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,sz10))
    | ~ spl3_11
    | ~ spl3_261 ),
    inference(resolution,[],[f3959,f164]) ).

fof(f25641,plain,
    ( spl3_1099
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_260 ),
    inference(avatar_split_clause,[],[f4330,f3954,f1368,f112,f25638]) ).

fof(f3954,plain,
    ( spl3_260
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_260])]) ).

fof(f4330,plain,
    ( sdtpldt0(sK1,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_260 ),
    inference(forward_demodulation,[],[f4321,f1370]) ).

fof(f4321,plain,
    ( sdtpldt0(sdtpldt0(sK1,sK0),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,sK0))
    | ~ spl3_1
    | ~ spl3_260 ),
    inference(resolution,[],[f3955,f114]) ).

fof(f3955,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK0)) )
    | ~ spl3_260 ),
    inference(avatar_component_clause,[],[f3954]) ).

fof(f25635,plain,
    ( spl3_1098
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_260 ),
    inference(avatar_split_clause,[],[f4327,f3954,f1271,f147,f25632]) ).

fof(f4327,plain,
    ( sdtpldt0(xm,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,xm),sK0)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_260 ),
    inference(forward_demodulation,[],[f4318,f1273]) ).

fof(f4318,plain,
    ( sdtpldt0(sdtpldt0(xm,sK0),sK0) = sdtpldt0(xm,sdtpldt0(sK0,sK0))
    | ~ spl3_8
    | ~ spl3_260 ),
    inference(resolution,[],[f3955,f149]) ).

fof(f25629,plain,
    ( spl3_1097
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_260 ),
    inference(avatar_split_clause,[],[f4326,f3954,f1194,f162,f25626]) ).

fof(f4326,plain,
    ( sdtpldt0(sz10,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtpldt0(sK0,sz10),sK0)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_260 ),
    inference(forward_demodulation,[],[f4314,f1196]) ).

fof(f4314,plain,
    ( sdtpldt0(sdtpldt0(sz10,sK0),sK0) = sdtpldt0(sz10,sdtpldt0(sK0,sK0))
    | ~ spl3_11
    | ~ spl3_260 ),
    inference(resolution,[],[f3955,f164]) ).

fof(f25624,plain,
    ( spl3_1096
    | ~ spl3_2
    | ~ spl3_260 ),
    inference(avatar_split_clause,[],[f4320,f3954,f117,f25621]) ).

fof(f25621,plain,
    ( spl3_1096
  <=> sdtpldt0(sdtpldt0(sK0,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1096])]) ).

fof(f4320,plain,
    ( sdtpldt0(sdtpldt0(sK0,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_260 ),
    inference(resolution,[],[f3955,f119]) ).

fof(f25619,plain,
    ( spl3_1095
    | ~ spl3_1
    | ~ spl3_1019 ),
    inference(avatar_split_clause,[],[f25029,f20446,f112,f25616]) ).

fof(f25616,plain,
    ( spl3_1095
  <=> sK1 = sdtmndt0(sdtpldt0(sK1,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1095])]) ).

fof(f25029,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sK1,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_1019 ),
    inference(resolution,[],[f20447,f114]) ).

fof(f25614,plain,
    ( spl3_1094
    | ~ spl3_1
    | ~ spl3_259 ),
    inference(avatar_split_clause,[],[f4303,f3950,f112,f25611]) ).

fof(f25611,plain,
    ( spl3_1094
  <=> sdtasdt0(sdtasdt0(sK1,xn),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1094])]) ).

fof(f25609,plain,
    ( spl3_1093
    | ~ spl3_2
    | ~ spl3_259 ),
    inference(avatar_split_clause,[],[f4302,f3950,f117,f25606]) ).

fof(f25606,plain,
    ( spl3_1093
  <=> sdtasdt0(sdtasdt0(sK0,xn),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1093])]) ).

fof(f25604,plain,
    ( spl3_1092
    | ~ spl3_9
    | ~ spl3_259 ),
    inference(avatar_split_clause,[],[f4301,f3950,f152,f25601]) ).

fof(f25601,plain,
    ( spl3_1092
  <=> sdtasdt0(sdtasdt0(xn,xn),sK1) = sdtasdt0(xn,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1092])]) ).

fof(f4301,plain,
    ( sdtasdt0(sdtasdt0(xn,xn),sK1) = sdtasdt0(xn,sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_259 ),
    inference(resolution,[],[f3951,f154]) ).

fof(f25599,plain,
    ( spl3_1091
    | ~ spl3_8
    | ~ spl3_259 ),
    inference(avatar_split_clause,[],[f4300,f3950,f147,f25596]) ).

fof(f25596,plain,
    ( spl3_1091
  <=> sdtasdt0(sdtasdt0(xm,xn),sK1) = sdtasdt0(xm,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1091])]) ).

fof(f25593,plain,
    ( spl3_1090
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_258 ),
    inference(avatar_split_clause,[],[f4292,f3946,f1203,f152,f25590]) ).

fof(f4292,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK1)
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_258 ),
    inference(forward_demodulation,[],[f4282,f1240]) ).

fof(f4282,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),sK1) = sdtasdt0(xn,sdtasdt0(sK1,xm))
    | ~ spl3_9
    | ~ spl3_258 ),
    inference(resolution,[],[f3947,f154]) ).

fof(f25588,plain,
    ( spl3_1089
    | ~ spl3_1
    | ~ spl3_258 ),
    inference(avatar_split_clause,[],[f4284,f3946,f112,f25585]) ).

fof(f25585,plain,
    ( spl3_1089
  <=> sdtasdt0(sdtasdt0(sK1,xm),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1089])]) ).

fof(f25583,plain,
    ( spl3_1088
    | ~ spl3_2
    | ~ spl3_258 ),
    inference(avatar_split_clause,[],[f4283,f3946,f117,f25580]) ).

fof(f25580,plain,
    ( spl3_1088
  <=> sdtasdt0(sdtasdt0(sK0,xm),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1088])]) ).

fof(f25578,plain,
    ( spl3_1087
    | ~ spl3_8
    | ~ spl3_258 ),
    inference(avatar_split_clause,[],[f4281,f3946,f147,f25575]) ).

fof(f25575,plain,
    ( spl3_1087
  <=> sdtasdt0(sdtasdt0(xm,xm),sK1) = sdtasdt0(xm,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1087])]) ).

fof(f4281,plain,
    ( sdtasdt0(sdtasdt0(xm,xm),sK1) = sdtasdt0(xm,sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_258 ),
    inference(resolution,[],[f3947,f149]) ).

fof(f25572,plain,
    ( spl3_1086
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_257 ),
    inference(avatar_split_clause,[],[f4273,f3942,f1933,f152,f25569]) ).

fof(f4273,plain,
    ( sdtasdt0(xn,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xn),sK1)
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_257 ),
    inference(forward_demodulation,[],[f4263,f1935]) ).

fof(f4263,plain,
    ( sdtasdt0(sdtasdt0(xn,sK1),sK1) = sdtasdt0(xn,sdtasdt0(sK1,sK1))
    | ~ spl3_9
    | ~ spl3_257 ),
    inference(resolution,[],[f3943,f154]) ).

fof(f25566,plain,
    ( spl3_1085
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_257 ),
    inference(avatar_split_clause,[],[f4272,f3942,f1851,f147,f25563]) ).

fof(f4272,plain,
    ( sdtasdt0(xm,sdtasdt0(sK1,sK1)) = sdtasdt0(sdtasdt0(sK1,xm),sK1)
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_257 ),
    inference(forward_demodulation,[],[f4262,f1853]) ).

fof(f4262,plain,
    ( sdtasdt0(sdtasdt0(xm,sK1),sK1) = sdtasdt0(xm,sdtasdt0(sK1,sK1))
    | ~ spl3_8
    | ~ spl3_257 ),
    inference(resolution,[],[f3943,f149]) ).

fof(f25561,plain,
    ( spl3_1084
    | ~ spl3_2
    | ~ spl3_1019 ),
    inference(avatar_split_clause,[],[f25028,f20446,f117,f25558]) ).

fof(f25028,plain,
    ( sK1 = sdtmndt0(sdtpldt0(sK0,sK1),sK0)
    | ~ spl3_2
    | ~ spl3_1019 ),
    inference(resolution,[],[f20447,f119]) ).

fof(f25556,plain,
    ( spl3_1083
    | ~ spl3_1
    | ~ spl3_257 ),
    inference(avatar_split_clause,[],[f4265,f3942,f112,f25553]) ).

fof(f25553,plain,
    ( spl3_1083
  <=> sdtasdt0(sdtasdt0(sK1,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1083])]) ).

fof(f4265,plain,
    ( sdtasdt0(sdtasdt0(sK1,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_257 ),
    inference(resolution,[],[f3943,f114]) ).

fof(f25551,plain,
    ( spl3_1082
    | ~ spl3_2
    | ~ spl3_257 ),
    inference(avatar_split_clause,[],[f4264,f3942,f117,f25548]) ).

fof(f25548,plain,
    ( spl3_1082
  <=> sdtasdt0(sdtasdt0(sK0,sK1),sK1) = sdtasdt0(sK0,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1082])]) ).

fof(f25545,plain,
    ( spl3_1081
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_256 ),
    inference(avatar_split_clause,[],[f4253,f3938,f1794,f112,f25542]) ).

fof(f3938,plain,
    ( spl3_256
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(X0,sK0),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_256])]) ).

fof(f4253,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_256 ),
    inference(forward_demodulation,[],[f4242,f1796]) ).

fof(f4242,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK1,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_256 ),
    inference(resolution,[],[f3939,f114]) ).

fof(f3939,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(X0,sK0),sK1) )
    | ~ spl3_256 ),
    inference(avatar_component_clause,[],[f3938]) ).

fof(f25539,plain,
    ( spl3_1080
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_156
    | ~ spl3_254
    | ~ spl3_255
    | ~ spl3_256 ),
    inference(avatar_split_clause,[],[f4252,f3938,f3934,f3930,f1933,f1674,f152,f112,f25536]) ).

fof(f4252,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(sK0,xn),sK1)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_156
    | ~ spl3_254
    | ~ spl3_255
    | ~ spl3_256 ),
    inference(forward_demodulation,[],[f4251,f4226]) ).

fof(f4226,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(xn,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_254
    | ~ spl3_255 ),
    inference(forward_demodulation,[],[f4225,f4197]) ).

fof(f4197,plain,
    ( sdtasdt0(sdtasdt0(sK1,xn),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,xn))
    | ~ spl3_1
    | ~ spl3_254 ),
    inference(resolution,[],[f3931,f114]) ).

fof(f4225,plain,
    ( sdtasdt0(sdtasdt0(sK1,xn),sK0) = sdtasdt0(xn,sdtasdt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_255 ),
    inference(forward_demodulation,[],[f4213,f1935]) ).

fof(f4213,plain,
    ( sdtasdt0(sdtasdt0(xn,sK1),sK0) = sdtasdt0(xn,sdtasdt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_255 ),
    inference(resolution,[],[f3935,f154]) ).

fof(f4251,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,xn),sK1)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_256 ),
    inference(forward_demodulation,[],[f4240,f1676]) ).

fof(f4240,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(xn,sK0),sK1)
    | ~ spl3_9
    | ~ spl3_256 ),
    inference(resolution,[],[f3939,f154]) ).

fof(f25533,plain,
    ( spl3_1079
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_151
    | ~ spl3_252
    | ~ spl3_255
    | ~ spl3_256 ),
    inference(avatar_split_clause,[],[f4250,f3938,f3934,f3921,f1851,f1589,f147,f112,f25530]) ).

fof(f4250,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(sK0,xm),sK1)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_151
    | ~ spl3_252
    | ~ spl3_255
    | ~ spl3_256 ),
    inference(forward_demodulation,[],[f4249,f4224]) ).

fof(f4224,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(xm,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_252
    | ~ spl3_255 ),
    inference(forward_demodulation,[],[f4223,f4178]) ).

fof(f4178,plain,
    ( sdtasdt0(sdtasdt0(sK1,xm),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,xm))
    | ~ spl3_1
    | ~ spl3_252 ),
    inference(resolution,[],[f3922,f114]) ).

fof(f4223,plain,
    ( sdtasdt0(sdtasdt0(sK1,xm),sK0) = sdtasdt0(xm,sdtasdt0(sK0,sK1))
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_255 ),
    inference(forward_demodulation,[],[f4212,f1853]) ).

fof(f4212,plain,
    ( sdtasdt0(sdtasdt0(xm,sK1),sK0) = sdtasdt0(xm,sdtasdt0(sK0,sK1))
    | ~ spl3_8
    | ~ spl3_255 ),
    inference(resolution,[],[f3935,f149]) ).

fof(f4249,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,xm),sK1)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_256 ),
    inference(forward_demodulation,[],[f4239,f1591]) ).

fof(f4239,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(xm,sK0),sK1)
    | ~ spl3_8
    | ~ spl3_256 ),
    inference(resolution,[],[f3939,f149]) ).

fof(f25528,plain,
    ( spl3_1078
    | ~ spl3_2
    | ~ spl3_256 ),
    inference(avatar_split_clause,[],[f4241,f3938,f117,f25525]) ).

fof(f25525,plain,
    ( spl3_1078
  <=> sdtasdt0(sK0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1078])]) ).

fof(f4241,plain,
    ( sdtasdt0(sK0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(sK0,sK0),sK1)
    | ~ spl3_2
    | ~ spl3_256 ),
    inference(resolution,[],[f3939,f119]) ).

fof(f25523,plain,
    ( spl3_1077
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_156
    | ~ spl3_254
    | ~ spl3_255 ),
    inference(avatar_split_clause,[],[f4226,f3934,f3930,f1933,f152,f112,f25520]) ).

fof(f25520,plain,
    ( spl3_1077
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xn)) = sdtasdt0(xn,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1077])]) ).

fof(f25518,plain,
    ( spl3_1076
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_151
    | ~ spl3_252
    | ~ spl3_255 ),
    inference(avatar_split_clause,[],[f4224,f3934,f3921,f1851,f147,f112,f25515]) ).

fof(f25515,plain,
    ( spl3_1076
  <=> sdtasdt0(sK1,sdtasdt0(sK0,xm)) = sdtasdt0(xm,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1076])]) ).

fof(f25513,plain,
    ( spl3_1075
    | ~ spl3_1
    | ~ spl3_255 ),
    inference(avatar_split_clause,[],[f4215,f3934,f112,f25510]) ).

fof(f25510,plain,
    ( spl3_1075
  <=> sdtasdt0(sdtasdt0(sK1,sK1),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1075])]) ).

fof(f4215,plain,
    ( sdtasdt0(sdtasdt0(sK1,sK1),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_255 ),
    inference(resolution,[],[f3935,f114]) ).

fof(f25508,plain,
    ( spl3_1074
    | ~ spl3_2
    | ~ spl3_255 ),
    inference(avatar_split_clause,[],[f4214,f3934,f117,f25505]) ).

fof(f25505,plain,
    ( spl3_1074
  <=> sdtasdt0(sdtasdt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1074])]) ).

fof(f25503,plain,
    ( spl3_1073
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_1018 ),
    inference(avatar_split_clause,[],[f25013,f20442,f1368,f112,f25500]) ).

fof(f20442,plain,
    ( spl3_1018
  <=> ! [X0] :
        ( sK0 = sdtmndt0(sdtpldt0(X0,sK0),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1018])]) ).

fof(f25013,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK0,sK1),sK1)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_1018 ),
    inference(forward_demodulation,[],[f25003,f1370]) ).

fof(f25003,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK1,sK0),sK1)
    | ~ spl3_1
    | ~ spl3_1018 ),
    inference(resolution,[],[f20443,f114]) ).

fof(f20443,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK0 = sdtmndt0(sdtpldt0(X0,sK0),X0) )
    | ~ spl3_1018 ),
    inference(avatar_component_clause,[],[f20442]) ).

fof(f25498,plain,
    ( spl3_1072
    | ~ spl3_1
    | ~ spl3_254 ),
    inference(avatar_split_clause,[],[f4197,f3930,f112,f25495]) ).

fof(f25495,plain,
    ( spl3_1072
  <=> sdtasdt0(sdtasdt0(sK1,xn),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1072])]) ).

fof(f25493,plain,
    ( spl3_1071
    | ~ spl3_2
    | ~ spl3_254 ),
    inference(avatar_split_clause,[],[f4196,f3930,f117,f25490]) ).

fof(f25490,plain,
    ( spl3_1071
  <=> sdtasdt0(sdtasdt0(sK0,xn),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1071])]) ).

fof(f25488,plain,
    ( spl3_1070
    | ~ spl3_9
    | ~ spl3_254 ),
    inference(avatar_split_clause,[],[f4195,f3930,f152,f25485]) ).

fof(f25485,plain,
    ( spl3_1070
  <=> sdtasdt0(sdtasdt0(xn,xn),sK0) = sdtasdt0(xn,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1070])]) ).

fof(f4195,plain,
    ( sdtasdt0(sdtasdt0(xn,xn),sK0) = sdtasdt0(xn,sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_254 ),
    inference(resolution,[],[f3931,f154]) ).

fof(f25483,plain,
    ( spl3_1069
    | ~ spl3_8
    | ~ spl3_254 ),
    inference(avatar_split_clause,[],[f4194,f3930,f147,f25480]) ).

fof(f25480,plain,
    ( spl3_1069
  <=> sdtasdt0(sdtasdt0(xm,xn),sK0) = sdtasdt0(xm,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1069])]) ).

fof(f25477,plain,
    ( spl3_1068
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_252 ),
    inference(avatar_split_clause,[],[f4186,f3921,f1203,f152,f25474]) ).

fof(f4186,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(xm,xn),sK0)
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_252 ),
    inference(forward_demodulation,[],[f4176,f1240]) ).

fof(f4176,plain,
    ( sdtasdt0(sdtasdt0(xn,xm),sK0) = sdtasdt0(xn,sdtasdt0(sK0,xm))
    | ~ spl3_9
    | ~ spl3_252 ),
    inference(resolution,[],[f3922,f154]) ).

fof(f25472,plain,
    ( spl3_1067
    | ~ spl3_1
    | ~ spl3_252 ),
    inference(avatar_split_clause,[],[f4178,f3921,f112,f25469]) ).

fof(f25469,plain,
    ( spl3_1067
  <=> sdtasdt0(sdtasdt0(sK1,xm),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1067])]) ).

fof(f25467,plain,
    ( spl3_1066
    | ~ spl3_2
    | ~ spl3_252 ),
    inference(avatar_split_clause,[],[f4177,f3921,f117,f25464]) ).

fof(f25464,plain,
    ( spl3_1066
  <=> sdtasdt0(sdtasdt0(sK0,xm),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1066])]) ).

fof(f25462,plain,
    ( spl3_1065
    | ~ spl3_8
    | ~ spl3_252 ),
    inference(avatar_split_clause,[],[f4175,f3921,f147,f25459]) ).

fof(f25459,plain,
    ( spl3_1065
  <=> sdtasdt0(sdtasdt0(xm,xm),sK0) = sdtasdt0(xm,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1065])]) ).

fof(f4175,plain,
    ( sdtasdt0(sdtasdt0(xm,xm),sK0) = sdtasdt0(xm,sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_252 ),
    inference(resolution,[],[f3922,f149]) ).

fof(f25456,plain,
    ( spl3_1064
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_251 ),
    inference(avatar_split_clause,[],[f4166,f3917,f1794,f112,f25453]) ).

fof(f3917,plain,
    ( spl3_251
  <=> ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK0),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_251])]) ).

fof(f4166,plain,
    ( sdtasdt0(sK1,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,sK1),sK0)
    | ~ spl3_1
    | ~ spl3_143
    | ~ spl3_251 ),
    inference(forward_demodulation,[],[f4157,f1796]) ).

fof(f4157,plain,
    ( sdtasdt0(sdtasdt0(sK1,sK0),sK0) = sdtasdt0(sK1,sdtasdt0(sK0,sK0))
    | ~ spl3_1
    | ~ spl3_251 ),
    inference(resolution,[],[f3918,f114]) ).

fof(f3918,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,sK0),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK0)) )
    | ~ spl3_251 ),
    inference(avatar_component_clause,[],[f3917]) ).

fof(f25450,plain,
    ( spl3_1063
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_251 ),
    inference(avatar_split_clause,[],[f4165,f3917,f1674,f152,f25447]) ).

fof(f4165,plain,
    ( sdtasdt0(xn,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xn),sK0)
    | ~ spl3_9
    | ~ spl3_137
    | ~ spl3_251 ),
    inference(forward_demodulation,[],[f4155,f1676]) ).

fof(f4155,plain,
    ( sdtasdt0(sdtasdt0(xn,sK0),sK0) = sdtasdt0(xn,sdtasdt0(sK0,sK0))
    | ~ spl3_9
    | ~ spl3_251 ),
    inference(resolution,[],[f3918,f154]) ).

fof(f25445,plain,
    ( spl3_1062
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_1018 ),
    inference(avatar_split_clause,[],[f25011,f20442,f1271,f147,f25442]) ).

fof(f25442,plain,
    ( spl3_1062
  <=> sK0 = sdtmndt0(sdtpldt0(sK0,xm),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1062])]) ).

fof(f25011,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK0,xm),xm)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_1018 ),
    inference(forward_demodulation,[],[f25000,f1273]) ).

fof(f25000,plain,
    ( sK0 = sdtmndt0(sdtpldt0(xm,sK0),xm)
    | ~ spl3_8
    | ~ spl3_1018 ),
    inference(resolution,[],[f20443,f149]) ).

fof(f25439,plain,
    ( spl3_1061
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_251 ),
    inference(avatar_split_clause,[],[f4164,f3917,f1589,f147,f25436]) ).

fof(f4164,plain,
    ( sdtasdt0(xm,sdtasdt0(sK0,sK0)) = sdtasdt0(sdtasdt0(sK0,xm),sK0)
    | ~ spl3_8
    | ~ spl3_131
    | ~ spl3_251 ),
    inference(forward_demodulation,[],[f4154,f1591]) ).

fof(f4154,plain,
    ( sdtasdt0(sdtasdt0(xm,sK0),sK0) = sdtasdt0(xm,sdtasdt0(sK0,sK0))
    | ~ spl3_8
    | ~ spl3_251 ),
    inference(resolution,[],[f3918,f149]) ).

fof(f25434,plain,
    ( spl3_1060
    | ~ spl3_2
    | ~ spl3_251 ),
    inference(avatar_split_clause,[],[f4156,f3917,f117,f25431]) ).

fof(f25431,plain,
    ( spl3_1060
  <=> sdtasdt0(sdtasdt0(sK0,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1060])]) ).

fof(f4156,plain,
    ( sdtasdt0(sdtasdt0(sK0,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_251 ),
    inference(resolution,[],[f3918,f119]) ).

fof(f25428,plain,
    ( ~ spl3_1
    | ~ spl3_8
    | spl3_1059
    | ~ spl3_9
    | ~ spl3_63
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1774,f1691,f702,f152,f25425,f147,f112]) ).

fof(f702,plain,
    ( spl3_63
  <=> xn = sdtpldt0(sK1,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f1691,plain,
    ( spl3_141
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_141])]) ).

fof(f1774,plain,
    ( ~ aNaturalNumber0(xn)
    | xm = sdtmndt0(xn,sK1)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK1)
    | ~ spl3_63
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f704]) ).

fof(f704,plain,
    ( xn = sdtpldt0(sK1,xm)
    | ~ spl3_63 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1692,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_141 ),
    inference(avatar_component_clause,[],[f1691]) ).

fof(f25422,plain,
    ( ~ spl3_2
    | ~ spl3_9
    | spl3_1058
    | ~ spl3_8
    | ~ spl3_57
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1772,f1691,f644,f147,f25419,f152,f117]) ).

fof(f25419,plain,
    ( spl3_1058
  <=> xn = sdtmndt0(xm,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1058])]) ).

fof(f644,plain,
    ( spl3_57
  <=> xm = sdtpldt0(sK0,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).

fof(f1772,plain,
    ( ~ aNaturalNumber0(xm)
    | xn = sdtmndt0(xm,sK0)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_57
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f646]) ).

fof(f646,plain,
    ( xm = sdtpldt0(sK0,xn)
    | ~ spl3_57 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f25411,plain,
    ( spl3_1057
    | ~ spl3_10
    | ~ spl3_1
    | ~ spl3_92
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1573,f1551,f1041,f112,f157,f25408]) ).

fof(f25408,plain,
    ( spl3_1057
  <=> sz00 = sdtasdt0(sz00,sK2(sz00,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1057])]) ).

fof(f157,plain,
    ( spl3_10
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f1041,plain,
    ( spl3_92
  <=> sdtlseqdt0(sz00,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).

fof(f1551,plain,
    ( spl3_128
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).

fof(f1573,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(sz00,sK2(sz00,sK1))
    | ~ spl3_92
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f1043]) ).

fof(f1043,plain,
    ( sdtlseqdt0(sz00,sK1)
    | ~ spl3_92 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1552,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X1)) )
    | ~ spl3_128 ),
    inference(avatar_component_clause,[],[f1551]) ).

fof(f25400,plain,
    ( spl3_1056
    | ~ spl3_10
    | ~ spl3_2
    | ~ spl3_79
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1572,f1551,f919,f117,f157,f25397]) ).

fof(f25397,plain,
    ( spl3_1056
  <=> sz00 = sdtasdt0(sz00,sK2(sz00,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1056])]) ).

fof(f919,plain,
    ( spl3_79
  <=> sdtlseqdt0(sz00,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).

fof(f1572,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(sz00,sK2(sz00,sK0))
    | ~ spl3_79
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f921]) ).

fof(f921,plain,
    ( sdtlseqdt0(sz00,sK0)
    | ~ spl3_79 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f25389,plain,
    ( spl3_1055
    | ~ spl3_10
    | ~ spl3_1
    | ~ spl3_92
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1565,f1547,f1041,f112,f157,f25386]) ).

fof(f25386,plain,
    ( spl3_1055
  <=> sz00 = sdtasdt0(sK2(sz00,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1055])]) ).

fof(f1547,plain,
    ( spl3_127
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).

fof(f1565,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(sK2(sz00,sK1),sz00)
    | ~ spl3_92
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f1043]) ).

fof(f1548,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X1),sz00) )
    | ~ spl3_127 ),
    inference(avatar_component_clause,[],[f1547]) ).

fof(f25378,plain,
    ( spl3_1054
    | ~ spl3_10
    | ~ spl3_2
    | ~ spl3_79
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1564,f1547,f919,f117,f157,f25375]) ).

fof(f25375,plain,
    ( spl3_1054
  <=> sz00 = sdtasdt0(sK2(sz00,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1054])]) ).

fof(f1564,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | sz00 = sdtasdt0(sK2(sz00,sK0),sz00)
    | ~ spl3_79
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f921]) ).

fof(f25359,plain,
    ( ~ spl3_10
    | ~ spl3_1
    | spl3_1053
    | ~ spl3_32
    | ~ spl3_92 ),
    inference(avatar_split_clause,[],[f1115,f1041,f343,f25356,f112,f157]) ).

fof(f25356,plain,
    ( spl3_1053
  <=> sK1 = sdtpldt0(sz00,sK2(sz00,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1053])]) ).

fof(f343,plain,
    ( spl3_32
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK2(X0,X1)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f1115,plain,
    ( sK1 = sdtpldt0(sz00,sK2(sz00,sK1))
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_32
    | ~ spl3_92 ),
    inference(resolution,[],[f1043,f344]) ).

fof(f344,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sK2(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f25339,plain,
    ( ~ spl3_10
    | ~ spl3_2
    | spl3_1052
    | ~ spl3_32
    | ~ spl3_79 ),
    inference(avatar_split_clause,[],[f982,f919,f343,f25336,f117,f157]) ).

fof(f25336,plain,
    ( spl3_1052
  <=> sK0 = sdtpldt0(sz00,sK2(sz00,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1052])]) ).

fof(f982,plain,
    ( sK0 = sdtpldt0(sz00,sK2(sz00,sK0))
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_32
    | ~ spl3_79 ),
    inference(resolution,[],[f921,f344]) ).

fof(f25334,plain,
    ( spl3_1050
    | ~ spl3_11
    | ~ spl3_1051
    | ~ spl3_66
    | ~ spl3_467 ),
    inference(avatar_split_clause,[],[f8203,f8150,f737,f25331,f162,f25327]) ).

fof(f25327,plain,
    ( spl3_1050
  <=> sz10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1050])]) ).

fof(f25331,plain,
    ( spl3_1051
  <=> xm = sdtpldt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1051])]) ).

fof(f737,plain,
    ( spl3_66
  <=> ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f8150,plain,
    ( spl3_467
  <=> sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_467])]) ).

fof(f8203,plain,
    ( xm != sdtpldt0(sz10,xn)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK0
    | ~ spl3_66
    | ~ spl3_467 ),
    inference(superposition,[],[f738,f8152]) ).

fof(f8152,plain,
    ( sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn)
    | ~ spl3_467 ),
    inference(avatar_component_clause,[],[f8150]) ).

fof(f738,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 )
    | ~ spl3_66 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f25325,plain,
    ( spl3_192
    | ~ spl3_8
    | ~ spl3_1049
    | ~ spl3_66
    | ~ spl3_466 ),
    inference(avatar_split_clause,[],[f8188,f8145,f737,f25322,f147,f2598]) ).

fof(f2598,plain,
    ( spl3_192
  <=> xm = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_192])]) ).

fof(f25322,plain,
    ( spl3_1049
  <=> xm = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1049])]) ).

fof(f8145,plain,
    ( spl3_466
  <=> sdtpldt0(xm,xn) = sdtpldt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_466])]) ).

fof(f8188,plain,
    ( xm != sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(xm)
    | xm = sK0
    | ~ spl3_66
    | ~ spl3_466 ),
    inference(superposition,[],[f738,f8147]) ).

fof(f8147,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
    | ~ spl3_466 ),
    inference(avatar_component_clause,[],[f8145]) ).

fof(f25320,plain,
    ( spl3_379
    | ~ spl3_11
    | ~ spl3_1048
    | ~ spl3_65
    | ~ spl3_465 ),
    inference(avatar_split_clause,[],[f8179,f8140,f728,f25317,f162,f6406]) ).

fof(f6406,plain,
    ( spl3_379
  <=> sz10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_379])]) ).

fof(f25317,plain,
    ( spl3_1048
  <=> xn = sdtpldt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1048])]) ).

fof(f728,plain,
    ( spl3_65
  <=> ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f8140,plain,
    ( spl3_465
  <=> sdtpldt0(xm,sz10) = sdtpldt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_465])]) ).

fof(f8179,plain,
    ( xn != sdtpldt0(sz10,xm)
    | ~ aNaturalNumber0(sz10)
    | sz10 = sK1
    | ~ spl3_65
    | ~ spl3_465 ),
    inference(superposition,[],[f729,f8142]) ).

fof(f8142,plain,
    ( sdtpldt0(xm,sz10) = sdtpldt0(sz10,xm)
    | ~ spl3_465 ),
    inference(avatar_component_clause,[],[f8140]) ).

fof(f729,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 )
    | ~ spl3_65 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f25315,plain,
    ( spl3_5
    | ~ spl3_9
    | ~ spl3_1047
    | ~ spl3_67
    | ~ spl3_126 ),
    inference(avatar_split_clause,[],[f2513,f1512,f746,f25312,f152,f132]) ).

fof(f25312,plain,
    ( spl3_1047
  <=> xn = sdtpldt0(sK1,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1047])]) ).

fof(f746,plain,
    ( spl3_67
  <=> ! [X0] :
        ( xn != sdtpldt0(X0,sK1)
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f2513,plain,
    ( xn != sdtpldt0(sK1,xn)
    | ~ aNaturalNumber0(xn)
    | xm = xn
    | ~ spl3_67
    | ~ spl3_126 ),
    inference(superposition,[],[f747,f1514]) ).

fof(f747,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,sK1)
        | ~ aNaturalNumber0(X0)
        | xm = X0 )
    | ~ spl3_67 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f25310,plain,
    ( spl3_412
    | ~ spl3_1
    | ~ spl3_1046
    | ~ spl3_66
    | ~ spl3_126 ),
    inference(avatar_split_clause,[],[f2512,f1512,f737,f25307,f112,f6880]) ).

fof(f6880,plain,
    ( spl3_412
  <=> sK0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_412])]) ).

fof(f25307,plain,
    ( spl3_1046
  <=> xm = sdtpldt0(sK1,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1046])]) ).

fof(f2512,plain,
    ( xm != sdtpldt0(sK1,xn)
    | ~ aNaturalNumber0(sK1)
    | sK0 = sK1
    | ~ spl3_66
    | ~ spl3_126 ),
    inference(superposition,[],[f738,f1514]) ).

fof(f25305,plain,
    ( spl3_1044
    | ~ spl3_11
    | ~ spl3_1045
    | ~ spl3_67
    | ~ spl3_120 ),
    inference(avatar_split_clause,[],[f2503,f1437,f746,f25302,f162,f25298]) ).

fof(f25298,plain,
    ( spl3_1044
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1044])]) ).

fof(f25302,plain,
    ( spl3_1045
  <=> xn = sdtpldt0(sK1,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1045])]) ).

fof(f2503,plain,
    ( xn != sdtpldt0(sK1,sz10)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xm
    | ~ spl3_67
    | ~ spl3_120 ),
    inference(superposition,[],[f747,f1439]) ).

fof(f25296,plain,
    ( spl3_191
    | ~ spl3_1
    | ~ spl3_1043
    | ~ spl3_68
    | ~ spl3_113 ),
    inference(avatar_split_clause,[],[f2494,f1368,f752,f25293,f112,f2593]) ).

fof(f2593,plain,
    ( spl3_191
  <=> xn = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_191])]) ).

fof(f25293,plain,
    ( spl3_1043
  <=> xm = sdtpldt0(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1043])]) ).

fof(f752,plain,
    ( spl3_68
  <=> ! [X0] :
        ( xm != sdtpldt0(X0,sK0)
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f2494,plain,
    ( xm != sdtpldt0(sK0,sK1)
    | ~ aNaturalNumber0(sK1)
    | xn = sK1
    | ~ spl3_68
    | ~ spl3_113 ),
    inference(superposition,[],[f753,f1370]) ).

fof(f753,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,sK0)
        | ~ aNaturalNumber0(X0)
        | xn = X0 )
    | ~ spl3_68 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f25291,plain,
    ( spl3_5
    | ~ spl3_8
    | ~ spl3_1042
    | ~ spl3_68
    | ~ spl3_108 ),
    inference(avatar_split_clause,[],[f2125,f1271,f752,f25288,f147,f132]) ).

fof(f25288,plain,
    ( spl3_1042
  <=> xm = sdtpldt0(sK0,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1042])]) ).

fof(f2125,plain,
    ( xm != sdtpldt0(sK0,xm)
    | ~ aNaturalNumber0(xm)
    | xm = xn
    | ~ spl3_68
    | ~ spl3_108 ),
    inference(superposition,[],[f753,f1273]) ).

fof(f25286,plain,
    ( spl3_412
    | ~ spl3_2
    | ~ spl3_1041
    | ~ spl3_65
    | ~ spl3_108 ),
    inference(avatar_split_clause,[],[f2124,f1271,f728,f25283,f117,f6880]) ).

fof(f25283,plain,
    ( spl3_1041
  <=> xn = sdtpldt0(sK0,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1041])]) ).

fof(f2124,plain,
    ( xn != sdtpldt0(sK0,xm)
    | ~ aNaturalNumber0(sK0)
    | sK0 = sK1
    | ~ spl3_65
    | ~ spl3_108 ),
    inference(superposition,[],[f729,f1273]) ).

fof(f25281,plain,
    ( spl3_1039
    | ~ spl3_11
    | ~ spl3_1040
    | ~ spl3_68
    | ~ spl3_101 ),
    inference(avatar_split_clause,[],[f2006,f1194,f752,f25278,f162,f25274]) ).

fof(f25274,plain,
    ( spl3_1039
  <=> sz10 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1039])]) ).

fof(f25278,plain,
    ( spl3_1040
  <=> xm = sdtpldt0(sK0,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1040])]) ).

fof(f2006,plain,
    ( xm != sdtpldt0(sK0,sz10)
    | ~ aNaturalNumber0(sz10)
    | sz10 = xn
    | ~ spl3_68
    | ~ spl3_101 ),
    inference(superposition,[],[f753,f1196]) ).

fof(f25258,plain,
    ( spl3_1038
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_1018 ),
    inference(avatar_split_clause,[],[f25010,f20442,f1194,f162,f25255]) ).

fof(f25255,plain,
    ( spl3_1038
  <=> sK0 = sdtmndt0(sdtpldt0(sK0,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1038])]) ).

fof(f25010,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK0,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_1018 ),
    inference(forward_demodulation,[],[f24996,f1196]) ).

fof(f24996,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sz10,sK0),sz10)
    | ~ spl3_11
    | ~ spl3_1018 ),
    inference(resolution,[],[f20443,f164]) ).

fof(f25113,plain,
    ( spl3_1037
    | ~ spl3_2
    | ~ spl3_1018 ),
    inference(avatar_split_clause,[],[f25002,f20442,f117,f25110]) ).

fof(f25110,plain,
    ( spl3_1037
  <=> sK0 = sdtmndt0(sdtpldt0(sK0,sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1037])]) ).

fof(f25002,plain,
    ( sK0 = sdtmndt0(sdtpldt0(sK0,sK0),sK0)
    | ~ spl3_2
    | ~ spl3_1018 ),
    inference(resolution,[],[f20443,f119]) ).

fof(f22624,plain,
    ( ~ spl3_1
    | ~ spl3_13
    | spl3_404 ),
    inference(avatar_split_clause,[],[f22524,f6748,f172,f112]) ).

fof(f172,plain,
    ( spl3_13
  <=> ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f6748,plain,
    ( spl3_404
  <=> sdtlseqdt0(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_404])]) ).

fof(f22524,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ spl3_13
    | spl3_404 ),
    inference(resolution,[],[f6749,f173]) ).

fof(f173,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f6749,plain,
    ( ~ sdtlseqdt0(sK1,sK1)
    | spl3_404 ),
    inference(avatar_component_clause,[],[f6748]) ).

fof(f22523,plain,
    ( ~ spl3_1
    | ~ spl3_404
    | ~ spl3_26
    | spl3_1017 ),
    inference(avatar_split_clause,[],[f20440,f20435,f276,f6748,f112]) ).

fof(f276,plain,
    ( spl3_26
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f20435,plain,
    ( spl3_1017
  <=> aNaturalNumber0(sK2(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1017])]) ).

fof(f20440,plain,
    ( ~ sdtlseqdt0(sK1,sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ spl3_26
    | spl3_1017 ),
    inference(duplicate_literal_removal,[],[f20439]) ).

fof(f20439,plain,
    ( ~ sdtlseqdt0(sK1,sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ spl3_26
    | spl3_1017 ),
    inference(resolution,[],[f20437,f277]) ).

fof(f277,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f20437,plain,
    ( ~ aNaturalNumber0(sK2(sK1,sK1))
    | spl3_1017 ),
    inference(avatar_component_clause,[],[f20435]) ).

fof(f20575,plain,
    ( ~ spl3_2
    | ~ spl3_13
    | spl3_1020 ),
    inference(avatar_split_clause,[],[f20504,f20450,f172,f117]) ).

fof(f20450,plain,
    ( spl3_1020
  <=> sdtlseqdt0(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1020])]) ).

fof(f20504,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ spl3_13
    | spl3_1020 ),
    inference(resolution,[],[f20452,f173]) ).

fof(f20452,plain,
    ( ~ sdtlseqdt0(sK0,sK0)
    | spl3_1020 ),
    inference(avatar_component_clause,[],[f20450]) ).

fof(f20534,plain,
    ( spl3_1036
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_677 ),
    inference(avatar_split_clause,[],[f12848,f12398,f479,f112,f20531]) ).

fof(f20531,plain,
    ( spl3_1036
  <=> sdtpldt0(sK1,sK1) = sdtasdt0(sK1,sdtpldt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1036])]) ).

fof(f12398,plain,
    ( spl3_677
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_677])]) ).

fof(f12848,plain,
    ( sdtpldt0(sK1,sK1) = sdtasdt0(sK1,sdtpldt0(sz10,sz10))
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_677 ),
    inference(forward_demodulation,[],[f12838,f481]) ).

fof(f12838,plain,
    ( sdtasdt0(sK1,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(sK1,sz10),sdtasdt0(sK1,sz10))
    | ~ spl3_1
    | ~ spl3_677 ),
    inference(resolution,[],[f12399,f114]) ).

fof(f12399,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10)) )
    | ~ spl3_677 ),
    inference(avatar_component_clause,[],[f12398]) ).

fof(f20529,plain,
    ( spl3_1035
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_677 ),
    inference(avatar_split_clause,[],[f12847,f12398,f474,f117,f20526]) ).

fof(f20526,plain,
    ( spl3_1035
  <=> sdtpldt0(sK0,sK0) = sdtasdt0(sK0,sdtpldt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1035])]) ).

fof(f12847,plain,
    ( sdtpldt0(sK0,sK0) = sdtasdt0(sK0,sdtpldt0(sz10,sz10))
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_677 ),
    inference(forward_demodulation,[],[f12837,f476]) ).

fof(f12837,plain,
    ( sdtasdt0(sK0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(sK0,sz10),sdtasdt0(sK0,sz10))
    | ~ spl3_2
    | ~ spl3_677 ),
    inference(resolution,[],[f12399,f119]) ).

fof(f20524,plain,
    ( spl3_1034
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_588 ),
    inference(avatar_split_clause,[],[f10787,f10528,f644,f117,f20521]) ).

fof(f20521,plain,
    ( spl3_1034
  <=> sdtpldt0(xm,xn) = sdtpldt0(sK0,sdtpldt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1034])]) ).

fof(f10787,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(sK0,sdtpldt0(xn,xn))
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_588 ),
    inference(forward_demodulation,[],[f10781,f646]) ).

fof(f10781,plain,
    ( sdtpldt0(sdtpldt0(sK0,xn),xn) = sdtpldt0(sK0,sdtpldt0(xn,xn))
    | ~ spl3_2
    | ~ spl3_588 ),
    inference(resolution,[],[f10529,f119]) ).

fof(f20519,plain,
    ( spl3_1033
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_240
    | ~ spl3_586 ),
    inference(avatar_split_clause,[],[f10750,f10520,f3285,f1194,f162,f117,f20516]) ).

fof(f20516,plain,
    ( spl3_1033
  <=> sdtpldt0(sz10,xm) = sdtpldt0(sK0,sdtpldt0(sz10,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1033])]) ).

fof(f3285,plain,
    ( spl3_240
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sK0),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_240])]) ).

fof(f10750,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(sK0,sdtpldt0(sz10,xn))
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_240
    | ~ spl3_586 ),
    inference(forward_demodulation,[],[f10742,f3781]) ).

fof(f3781,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(sdtpldt0(sK0,sz10),xn)
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_240 ),
    inference(forward_demodulation,[],[f3768,f1196]) ).

fof(f3768,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(sdtpldt0(sz10,sK0),xn)
    | ~ spl3_11
    | ~ spl3_240 ),
    inference(resolution,[],[f3286,f164]) ).

fof(f3286,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sK0),xn) )
    | ~ spl3_240 ),
    inference(avatar_component_clause,[],[f3285]) ).

fof(f10742,plain,
    ( sdtpldt0(sdtpldt0(sK0,sz10),xn) = sdtpldt0(sK0,sdtpldt0(sz10,xn))
    | ~ spl3_2
    | ~ spl3_586 ),
    inference(resolution,[],[f10521,f119]) ).

fof(f20514,plain,
    ( spl3_1032
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_239
    | ~ spl3_585 ),
    inference(avatar_split_clause,[],[f10724,f10516,f3281,f1512,f152,f112,f20511]) ).

fof(f20511,plain,
    ( spl3_1032
  <=> sdtpldt0(xn,xn) = sdtpldt0(sK1,sdtpldt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1032])]) ).

fof(f3281,plain,
    ( spl3_239
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sK1),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_239])]) ).

fof(f10516,plain,
    ( spl3_585
  <=> ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xm,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_585])]) ).

fof(f10724,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(sK1,sdtpldt0(xm,xn))
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_239
    | ~ spl3_585 ),
    inference(forward_demodulation,[],[f10717,f3762]) ).

fof(f3762,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(sK1,xn),xm)
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_239 ),
    inference(forward_demodulation,[],[f3752,f1514]) ).

fof(f3752,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(xn,sK1),xm)
    | ~ spl3_9
    | ~ spl3_239 ),
    inference(resolution,[],[f3282,f154]) ).

fof(f3282,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sK1),xm) )
    | ~ spl3_239 ),
    inference(avatar_component_clause,[],[f3281]) ).

fof(f10717,plain,
    ( sdtpldt0(sdtpldt0(sK1,xn),xm) = sdtpldt0(sK1,sdtpldt0(xm,xn))
    | ~ spl3_1
    | ~ spl3_585 ),
    inference(resolution,[],[f10517,f114]) ).

fof(f10517,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
    | ~ spl3_585 ),
    inference(avatar_component_clause,[],[f10516]) ).

fof(f20509,plain,
    ( spl3_1031
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_585 ),
    inference(avatar_split_clause,[],[f10723,f10516,f644,f117,f20506]) ).

fof(f20506,plain,
    ( spl3_1031
  <=> sdtpldt0(xm,xm) = sdtpldt0(sK0,sdtpldt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1031])]) ).

fof(f10723,plain,
    ( sdtpldt0(xm,xm) = sdtpldt0(sK0,sdtpldt0(xm,xn))
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_585 ),
    inference(forward_demodulation,[],[f10716,f646]) ).

fof(f10716,plain,
    ( sdtpldt0(sdtpldt0(sK0,xn),xm) = sdtpldt0(sK0,sdtpldt0(xm,xn))
    | ~ spl3_2
    | ~ spl3_585 ),
    inference(resolution,[],[f10517,f119]) ).

fof(f20503,plain,
    ( spl3_1030
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_466
    | ~ spl3_584 ),
    inference(avatar_split_clause,[],[f10704,f10512,f8145,f702,f112,f20500]) ).

fof(f20500,plain,
    ( spl3_1030
  <=> sdtpldt0(xm,xn) = sdtpldt0(sK1,sdtpldt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1030])]) ).

fof(f10704,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(sK1,sdtpldt0(xm,xm))
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_466
    | ~ spl3_584 ),
    inference(forward_demodulation,[],[f10703,f8147]) ).

fof(f10703,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sK1,sdtpldt0(xm,xm))
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_584 ),
    inference(forward_demodulation,[],[f10697,f704]) ).

fof(f10697,plain,
    ( sdtpldt0(sdtpldt0(sK1,xm),xm) = sdtpldt0(sK1,sdtpldt0(xm,xm))
    | ~ spl3_1
    | ~ spl3_584 ),
    inference(resolution,[],[f10513,f114]) ).

fof(f20498,plain,
    ( spl3_1029
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_239
    | ~ spl3_583 ),
    inference(avatar_split_clause,[],[f10685,f10508,f3281,f1437,f162,f112,f20495]) ).

fof(f20495,plain,
    ( spl3_1029
  <=> sdtpldt0(sz10,xn) = sdtpldt0(sK1,sdtpldt0(sz10,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1029])]) ).

fof(f10685,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(sK1,sdtpldt0(sz10,xm))
    | ~ spl3_1
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_239
    | ~ spl3_583 ),
    inference(forward_demodulation,[],[f10678,f3760]) ).

fof(f3760,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(sdtpldt0(sK1,sz10),xm)
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_239 ),
    inference(forward_demodulation,[],[f3747,f1439]) ).

fof(f3747,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(sdtpldt0(sz10,sK1),xm)
    | ~ spl3_11
    | ~ spl3_239 ),
    inference(resolution,[],[f3282,f164]) ).

fof(f10678,plain,
    ( sdtpldt0(sdtpldt0(sK1,sz10),xm) = sdtpldt0(sK1,sdtpldt0(sz10,xm))
    | ~ spl3_1
    | ~ spl3_583 ),
    inference(resolution,[],[f10509,f114]) ).

fof(f20493,plain,
    ( spl3_1028
    | ~ spl3_1
    | ~ spl3_568 ),
    inference(avatar_split_clause,[],[f10391,f9792,f112,f20490]) ).

fof(f20490,plain,
    ( spl3_1028
  <=> sK2(sK1,sK1) = sdtpldt0(sz00,sK2(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1028])]) ).

fof(f9792,plain,
    ( spl3_568
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sz00,sK2(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_568])]) ).

fof(f10391,plain,
    ( sK2(sK1,sK1) = sdtpldt0(sz00,sK2(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_568 ),
    inference(resolution,[],[f9793,f114]) ).

fof(f9793,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sz00,sK2(X0,X0)) )
    | ~ spl3_568 ),
    inference(avatar_component_clause,[],[f9792]) ).

fof(f20488,plain,
    ( spl3_1027
    | ~ spl3_2
    | ~ spl3_568 ),
    inference(avatar_split_clause,[],[f10390,f9792,f117,f20485]) ).

fof(f20485,plain,
    ( spl3_1027
  <=> sK2(sK0,sK0) = sdtpldt0(sz00,sK2(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1027])]) ).

fof(f10390,plain,
    ( sK2(sK0,sK0) = sdtpldt0(sz00,sK2(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_568 ),
    inference(resolution,[],[f9793,f119]) ).

fof(f20483,plain,
    ( spl3_1026
    | ~ spl3_1
    | ~ spl3_567 ),
    inference(avatar_split_clause,[],[f10377,f9788,f112,f20480]) ).

fof(f20480,plain,
    ( spl3_1026
  <=> sK2(sK1,sK1) = sdtpldt0(sK2(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1026])]) ).

fof(f9788,plain,
    ( spl3_567
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sK2(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_567])]) ).

fof(f10377,plain,
    ( sK2(sK1,sK1) = sdtpldt0(sK2(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_567 ),
    inference(resolution,[],[f9789,f114]) ).

fof(f9789,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sK2(X0,X0),sz00) )
    | ~ spl3_567 ),
    inference(avatar_component_clause,[],[f9788]) ).

fof(f20478,plain,
    ( spl3_1025
    | ~ spl3_2
    | ~ spl3_567 ),
    inference(avatar_split_clause,[],[f10376,f9788,f117,f20475]) ).

fof(f20475,plain,
    ( spl3_1025
  <=> sK2(sK0,sK0) = sdtpldt0(sK2(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1025])]) ).

fof(f10376,plain,
    ( sK2(sK0,sK0) = sdtpldt0(sK2(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_567 ),
    inference(resolution,[],[f9789,f119]) ).

fof(f20473,plain,
    ( spl3_1024
    | ~ spl3_1
    | ~ spl3_566 ),
    inference(avatar_split_clause,[],[f10363,f9784,f112,f20470]) ).

fof(f20470,plain,
    ( spl3_1024
  <=> sK2(sK1,sK1) = sdtasdt0(sz10,sK2(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1024])]) ).

fof(f9784,plain,
    ( spl3_566
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sz10,sK2(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_566])]) ).

fof(f10363,plain,
    ( sK2(sK1,sK1) = sdtasdt0(sz10,sK2(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_566 ),
    inference(resolution,[],[f9785,f114]) ).

fof(f9785,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sz10,sK2(X0,X0)) )
    | ~ spl3_566 ),
    inference(avatar_component_clause,[],[f9784]) ).

fof(f20468,plain,
    ( spl3_1023
    | ~ spl3_2
    | ~ spl3_566 ),
    inference(avatar_split_clause,[],[f10362,f9784,f117,f20465]) ).

fof(f20465,plain,
    ( spl3_1023
  <=> sK2(sK0,sK0) = sdtasdt0(sz10,sK2(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1023])]) ).

fof(f10362,plain,
    ( sK2(sK0,sK0) = sdtasdt0(sz10,sK2(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_566 ),
    inference(resolution,[],[f9785,f119]) ).

fof(f20463,plain,
    ( spl3_1022
    | ~ spl3_1
    | ~ spl3_565 ),
    inference(avatar_split_clause,[],[f10349,f9780,f112,f20460]) ).

fof(f20460,plain,
    ( spl3_1022
  <=> sK2(sK1,sK1) = sdtasdt0(sK2(sK1,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1022])]) ).

fof(f9780,plain,
    ( spl3_565
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sK2(X0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_565])]) ).

fof(f10349,plain,
    ( sK2(sK1,sK1) = sdtasdt0(sK2(sK1,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_565 ),
    inference(resolution,[],[f9781,f114]) ).

fof(f9781,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sK2(X0,X0),sz10) )
    | ~ spl3_565 ),
    inference(avatar_component_clause,[],[f9780]) ).

fof(f20458,plain,
    ( spl3_1021
    | ~ spl3_2
    | ~ spl3_565 ),
    inference(avatar_split_clause,[],[f10348,f9780,f117,f20455]) ).

fof(f20455,plain,
    ( spl3_1021
  <=> sK2(sK0,sK0) = sdtasdt0(sK2(sK0,sK0),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1021])]) ).

fof(f10348,plain,
    ( sK2(sK0,sK0) = sdtasdt0(sK2(sK0,sK0),sz10)
    | ~ spl3_2
    | ~ spl3_565 ),
    inference(resolution,[],[f9781,f119]) ).

fof(f20453,plain,
    ( ~ spl3_2
    | ~ spl3_1020
    | ~ spl3_26
    | spl3_1015 ),
    inference(avatar_split_clause,[],[f20429,f20424,f276,f20450,f117]) ).

fof(f20424,plain,
    ( spl3_1015
  <=> aNaturalNumber0(sK2(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1015])]) ).

fof(f20429,plain,
    ( ~ sdtlseqdt0(sK0,sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_26
    | spl3_1015 ),
    inference(duplicate_literal_removal,[],[f20428]) ).

fof(f20428,plain,
    ( ~ sdtlseqdt0(sK0,sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_26
    | spl3_1015 ),
    inference(resolution,[],[f20426,f277]) ).

fof(f20426,plain,
    ( ~ aNaturalNumber0(sK2(sK0,sK0))
    | spl3_1015 ),
    inference(avatar_component_clause,[],[f20424]) ).

fof(f20448,plain,
    ( spl3_1019
    | ~ spl3_1
    | ~ spl3_564 ),
    inference(avatar_split_clause,[],[f10335,f9776,f112,f20446]) ).

fof(f9776,plain,
    ( spl3_564
  <=> ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_564])]) ).

fof(f10335,plain,
    ( ! [X0] :
        ( sK1 = sdtmndt0(sdtpldt0(X0,sK1),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_564 ),
    inference(resolution,[],[f9777,f114]) ).

fof(f9777,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_564 ),
    inference(avatar_component_clause,[],[f9776]) ).

fof(f20444,plain,
    ( spl3_1018
    | ~ spl3_2
    | ~ spl3_564 ),
    inference(avatar_split_clause,[],[f10334,f9776,f117,f20442]) ).

fof(f10334,plain,
    ( ! [X0] :
        ( sK0 = sdtmndt0(sdtpldt0(X0,sK0),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_564 ),
    inference(resolution,[],[f9777,f119]) ).

fof(f20438,plain,
    ( spl3_1016
    | ~ spl3_1017
    | ~ spl3_177
    | ~ spl3_311 ),
    inference(avatar_split_clause,[],[f5118,f5110,f2324,f20435,f20431]) ).

fof(f20431,plain,
    ( spl3_1016
  <=> sz00 = sK2(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1016])]) ).

fof(f2324,plain,
    ( spl3_177
  <=> sK1 = sdtpldt0(sK1,sK2(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_177])]) ).

fof(f5110,plain,
    ( spl3_311
  <=> ! [X0] :
        ( sK1 != sdtpldt0(sK1,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_311])]) ).

fof(f5118,plain,
    ( ~ aNaturalNumber0(sK2(sK1,sK1))
    | sz00 = sK2(sK1,sK1)
    | ~ spl3_177
    | ~ spl3_311 ),
    inference(trivial_inequality_removal,[],[f5117]) ).

fof(f5117,plain,
    ( sK1 != sK1
    | ~ aNaturalNumber0(sK2(sK1,sK1))
    | sz00 = sK2(sK1,sK1)
    | ~ spl3_177
    | ~ spl3_311 ),
    inference(superposition,[],[f5111,f2326]) ).

fof(f2326,plain,
    ( sK1 = sdtpldt0(sK1,sK2(sK1,sK1))
    | ~ spl3_177 ),
    inference(avatar_component_clause,[],[f2324]) ).

fof(f5111,plain,
    ( ! [X0] :
        ( sK1 != sdtpldt0(sK1,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl3_311 ),
    inference(avatar_component_clause,[],[f5110]) ).

fof(f20427,plain,
    ( spl3_1014
    | ~ spl3_1015
    | ~ spl3_171
    | ~ spl3_308 ),
    inference(avatar_split_clause,[],[f5092,f5085,f2249,f20424,f20420]) ).

fof(f20420,plain,
    ( spl3_1014
  <=> sz00 = sK2(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1014])]) ).

fof(f2249,plain,
    ( spl3_171
  <=> sK0 = sdtpldt0(sK0,sK2(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_171])]) ).

fof(f5085,plain,
    ( spl3_308
  <=> ! [X0] :
        ( sK0 != sdtpldt0(sK0,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_308])]) ).

fof(f5092,plain,
    ( ~ aNaturalNumber0(sK2(sK0,sK0))
    | sz00 = sK2(sK0,sK0)
    | ~ spl3_171
    | ~ spl3_308 ),
    inference(trivial_inequality_removal,[],[f5091]) ).

fof(f5091,plain,
    ( sK0 != sK0
    | ~ aNaturalNumber0(sK2(sK0,sK0))
    | sz00 = sK2(sK0,sK0)
    | ~ spl3_171
    | ~ spl3_308 ),
    inference(superposition,[],[f5086,f2251]) ).

fof(f2251,plain,
    ( sK0 = sdtpldt0(sK0,sK2(sK0,sK0))
    | ~ spl3_171 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f5086,plain,
    ( ! [X0] :
        ( sK0 != sdtpldt0(sK0,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl3_308 ),
    inference(avatar_component_clause,[],[f5085]) ).

fof(f20418,plain,
    ( spl3_1013
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_303 ),
    inference(avatar_split_clause,[],[f5077,f4146,f489,f162,f20415]) ).

fof(f20415,plain,
    ( spl3_1013
  <=> sdtpldt0(sK1,sK1) = sdtasdt0(sdtpldt0(sz10,sz10),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1013])]) ).

fof(f5077,plain,
    ( sdtpldt0(sK1,sK1) = sdtasdt0(sdtpldt0(sz10,sz10),sK1)
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_303 ),
    inference(forward_demodulation,[],[f5063,f491]) ).

fof(f5063,plain,
    ( sdtasdt0(sdtpldt0(sz10,sz10),sK1) = sdtpldt0(sdtasdt0(sz10,sK1),sK1)
    | ~ spl3_11
    | ~ spl3_303 ),
    inference(resolution,[],[f4147,f164]) ).

fof(f20413,plain,
    ( spl3_1012
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_302 ),
    inference(avatar_split_clause,[],[f5053,f4142,f484,f162,f20410]) ).

fof(f20410,plain,
    ( spl3_1012
  <=> sdtpldt0(sK0,sK0) = sdtasdt0(sdtpldt0(sz10,sz10),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1012])]) ).

fof(f5053,plain,
    ( sdtpldt0(sK0,sK0) = sdtasdt0(sdtpldt0(sz10,sz10),sK0)
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_302 ),
    inference(forward_demodulation,[],[f5039,f486]) ).

fof(f5039,plain,
    ( sdtasdt0(sdtpldt0(sz10,sz10),sK0) = sdtpldt0(sdtasdt0(sz10,sK0),sK0)
    | ~ spl3_11
    | ~ spl3_302 ),
    inference(resolution,[],[f4143,f164]) ).

fof(f20408,plain,
    ( spl3_1011
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_216
    | ~ spl3_268 ),
    inference(avatar_split_clause,[],[f4477,f3987,f3179,f1190,f152,f147,f20405]) ).

fof(f20405,plain,
    ( spl3_1011
  <=> sdtpldt0(xn,xn) = sdtpldt0(xm,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1011])]) ).

fof(f3179,plain,
    ( spl3_216
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_216])]) ).

fof(f4477,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(xm,sdtpldt0(sK1,xn))
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_216
    | ~ spl3_268 ),
    inference(forward_demodulation,[],[f4468,f3457]) ).

fof(f3457,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(xm,xn),sK1)
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_216 ),
    inference(forward_demodulation,[],[f3449,f1216]) ).

fof(f1216,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
    | ~ spl3_9
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f154]) ).

fof(f3449,plain,
    ( sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(xn,xm),sK1)
    | ~ spl3_9
    | ~ spl3_216 ),
    inference(resolution,[],[f3180,f154]) ).

fof(f3180,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),sK1) )
    | ~ spl3_216 ),
    inference(avatar_component_clause,[],[f3179]) ).

fof(f4468,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),sK1) = sdtpldt0(xm,sdtpldt0(sK1,xn))
    | ~ spl3_8
    | ~ spl3_268 ),
    inference(resolution,[],[f3988,f149]) ).

fof(f20403,plain,
    ( spl3_1010
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_216
    | ~ spl3_267 ),
    inference(avatar_split_clause,[],[f4459,f3983,f3179,f1190,f162,f147,f20400]) ).

fof(f20400,plain,
    ( spl3_1010
  <=> sdtpldt0(sz10,xn) = sdtpldt0(xm,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1010])]) ).

fof(f4459,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(xm,sdtpldt0(sK1,sz10))
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_216
    | ~ spl3_267 ),
    inference(forward_demodulation,[],[f4458,f3444]) ).

fof(f3444,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(sdtpldt0(sz10,xm),sK1)
    | ~ spl3_11
    | ~ spl3_216 ),
    inference(resolution,[],[f3180,f164]) ).

fof(f4458,plain,
    ( sdtpldt0(sdtpldt0(sz10,xm),sK1) = sdtpldt0(xm,sdtpldt0(sK1,sz10))
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_267 ),
    inference(forward_demodulation,[],[f4449,f1211]) ).

fof(f4449,plain,
    ( sdtpldt0(sdtpldt0(xm,sz10),sK1) = sdtpldt0(xm,sdtpldt0(sK1,sz10))
    | ~ spl3_8
    | ~ spl3_267 ),
    inference(resolution,[],[f3984,f149]) ).

fof(f20398,plain,
    ( spl3_1009
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_126
    | ~ spl3_266 ),
    inference(avatar_split_clause,[],[f4435,f3979,f1512,f147,f137,f20395]) ).

fof(f20395,plain,
    ( spl3_1009
  <=> sdtpldt0(sK1,xn) = sdtpldt0(xm,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1009])]) ).

fof(f137,plain,
    ( spl3_6
  <=> xn = sdtpldt0(xm,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f4435,plain,
    ( sdtpldt0(sK1,xn) = sdtpldt0(xm,sdtpldt0(sK1,sK1))
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_126
    | ~ spl3_266 ),
    inference(forward_demodulation,[],[f4434,f1514]) ).

fof(f4434,plain,
    ( sdtpldt0(xn,sK1) = sdtpldt0(xm,sdtpldt0(sK1,sK1))
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_266 ),
    inference(forward_demodulation,[],[f4425,f139]) ).

fof(f139,plain,
    ( xn = sdtpldt0(xm,sK1)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f4425,plain,
    ( sdtpldt0(sdtpldt0(xm,sK1),sK1) = sdtpldt0(xm,sdtpldt0(sK1,sK1))
    | ~ spl3_8
    | ~ spl3_266 ),
    inference(resolution,[],[f3980,f149]) ).

fof(f20393,plain,
    ( spl3_1008
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_214
    | ~ spl3_262 ),
    inference(avatar_split_clause,[],[f4368,f3962,f3171,f1190,f152,f147,f20390]) ).

fof(f20390,plain,
    ( spl3_1008
  <=> sdtpldt0(xm,xm) = sdtpldt0(xn,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1008])]) ).

fof(f3171,plain,
    ( spl3_214
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xn),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_214])]) ).

fof(f4368,plain,
    ( sdtpldt0(xm,xm) = sdtpldt0(xn,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_214
    | ~ spl3_262 ),
    inference(forward_demodulation,[],[f4367,f3413]) ).

fof(f3413,plain,
    ( sdtpldt0(xm,xm) = sdtpldt0(sdtpldt0(xm,xn),sK0)
    | ~ spl3_8
    | ~ spl3_214 ),
    inference(resolution,[],[f3172,f149]) ).

fof(f3172,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xn),sK0) )
    | ~ spl3_214 ),
    inference(avatar_component_clause,[],[f3171]) ).

fof(f4367,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),sK0) = sdtpldt0(xn,sdtpldt0(sK0,xm))
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_262 ),
    inference(forward_demodulation,[],[f4359,f1216]) ).

fof(f4359,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),sK0) = sdtpldt0(xn,sdtpldt0(sK0,xm))
    | ~ spl3_9
    | ~ spl3_262 ),
    inference(resolution,[],[f3963,f154]) ).

fof(f20388,plain,
    ( spl3_1007
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_214
    | ~ spl3_261 ),
    inference(avatar_split_clause,[],[f4350,f3958,f3171,f1199,f162,f152,f20385]) ).

fof(f20385,plain,
    ( spl3_1007
  <=> sdtpldt0(sz10,xm) = sdtpldt0(xn,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1007])]) ).

fof(f4350,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(xn,sdtpldt0(sK0,sz10))
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_214
    | ~ spl3_261 ),
    inference(forward_demodulation,[],[f4349,f3409]) ).

fof(f3409,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(sdtpldt0(sz10,xn),sK0)
    | ~ spl3_11
    | ~ spl3_214 ),
    inference(resolution,[],[f3172,f164]) ).

fof(f4349,plain,
    ( sdtpldt0(sdtpldt0(sz10,xn),sK0) = sdtpldt0(xn,sdtpldt0(sK0,sz10))
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_261 ),
    inference(forward_demodulation,[],[f4340,f1223]) ).

fof(f4340,plain,
    ( sdtpldt0(sdtpldt0(xn,sz10),sK0) = sdtpldt0(xn,sdtpldt0(sK0,sz10))
    | ~ spl3_9
    | ~ spl3_261 ),
    inference(resolution,[],[f3959,f154]) ).

fof(f20383,plain,
    ( spl3_1006
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_108
    | ~ spl3_260 ),
    inference(avatar_split_clause,[],[f4329,f3954,f1271,f152,f142,f20380]) ).

fof(f20380,plain,
    ( spl3_1006
  <=> sdtpldt0(sK0,xm) = sdtpldt0(xn,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1006])]) ).

fof(f142,plain,
    ( spl3_7
  <=> xm = sdtpldt0(xn,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f4329,plain,
    ( sdtpldt0(sK0,xm) = sdtpldt0(xn,sdtpldt0(sK0,sK0))
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_108
    | ~ spl3_260 ),
    inference(forward_demodulation,[],[f4328,f1273]) ).

fof(f4328,plain,
    ( sdtpldt0(xm,sK0) = sdtpldt0(xn,sdtpldt0(sK0,sK0))
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_260 ),
    inference(forward_demodulation,[],[f4319,f144]) ).

fof(f144,plain,
    ( xm = sdtpldt0(xn,sK0)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f4319,plain,
    ( sdtpldt0(sdtpldt0(xn,sK0),sK0) = sdtpldt0(xn,sdtpldt0(sK0,sK0))
    | ~ spl3_9
    | ~ spl3_260 ),
    inference(resolution,[],[f3955,f154]) ).

fof(f20378,plain,
    ( spl3_1005
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_240 ),
    inference(avatar_split_clause,[],[f3782,f3285,f1271,f147,f20375]) ).

fof(f20375,plain,
    ( spl3_1005
  <=> sdtpldt0(xm,xm) = sdtpldt0(sdtpldt0(sK0,xm),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1005])]) ).

fof(f3782,plain,
    ( sdtpldt0(xm,xm) = sdtpldt0(sdtpldt0(sK0,xm),xn)
    | ~ spl3_8
    | ~ spl3_108
    | ~ spl3_240 ),
    inference(forward_demodulation,[],[f3772,f1273]) ).

fof(f3772,plain,
    ( sdtpldt0(xm,xm) = sdtpldt0(sdtpldt0(xm,sK0),xn)
    | ~ spl3_8
    | ~ spl3_240 ),
    inference(resolution,[],[f3286,f149]) ).

fof(f20373,plain,
    ( spl3_1004
    | ~ spl3_11
    | ~ spl3_101
    | ~ spl3_240 ),
    inference(avatar_split_clause,[],[f3781,f3285,f1194,f162,f20370]) ).

fof(f20370,plain,
    ( spl3_1004
  <=> sdtpldt0(sz10,xm) = sdtpldt0(sdtpldt0(sK0,sz10),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1004])]) ).

fof(f20368,plain,
    ( spl3_1003
    | ~ spl3_2
    | ~ spl3_240 ),
    inference(avatar_split_clause,[],[f3774,f3285,f117,f20365]) ).

fof(f20365,plain,
    ( spl3_1003
  <=> sdtpldt0(sK0,xm) = sdtpldt0(sdtpldt0(sK0,sK0),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1003])]) ).

fof(f3774,plain,
    ( sdtpldt0(sK0,xm) = sdtpldt0(sdtpldt0(sK0,sK0),xn)
    | ~ spl3_2
    | ~ spl3_240 ),
    inference(resolution,[],[f3286,f119]) ).

fof(f20363,plain,
    ( spl3_1002
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_239 ),
    inference(avatar_split_clause,[],[f3762,f3281,f1512,f152,f20360]) ).

fof(f20360,plain,
    ( spl3_1002
  <=> sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(sK1,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1002])]) ).

fof(f20358,plain,
    ( spl3_1001
    | ~ spl3_11
    | ~ spl3_120
    | ~ spl3_239 ),
    inference(avatar_split_clause,[],[f3760,f3281,f1437,f162,f20355]) ).

fof(f20355,plain,
    ( spl3_1001
  <=> sdtpldt0(sz10,xn) = sdtpldt0(sdtpldt0(sK1,sz10),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1001])]) ).

fof(f20353,plain,
    ( spl3_1000
    | ~ spl3_1
    | ~ spl3_239 ),
    inference(avatar_split_clause,[],[f3754,f3281,f112,f20350]) ).

fof(f20350,plain,
    ( spl3_1000
  <=> sdtpldt0(sK1,xn) = sdtpldt0(sdtpldt0(sK1,sK1),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1000])]) ).

fof(f3754,plain,
    ( sdtpldt0(sK1,xn) = sdtpldt0(sdtpldt0(sK1,sK1),xm)
    | ~ spl3_1
    | ~ spl3_239 ),
    inference(resolution,[],[f3282,f114]) ).

fof(f20348,plain,
    ( spl3_999
    | ~ spl3_1
    | ~ spl3_234 ),
    inference(avatar_split_clause,[],[f3731,f3253,f112,f20345]) ).

fof(f20345,plain,
    ( spl3_999
  <=> sdtasdt0(sK1,sK1) = sdtasdt0(sdtasdt0(sK1,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_999])]) ).

fof(f3253,plain,
    ( spl3_234
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sdtasdt0(sK1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_234])]) ).

fof(f3731,plain,
    ( sdtasdt0(sK1,sK1) = sdtasdt0(sdtasdt0(sK1,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_234 ),
    inference(resolution,[],[f3254,f114]) ).

fof(f3254,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sdtasdt0(sK1,X0),sz10) )
    | ~ spl3_234 ),
    inference(avatar_component_clause,[],[f3253]) ).

fof(f20343,plain,
    ( spl3_998
    | ~ spl3_9
    | ~ spl3_234 ),
    inference(avatar_split_clause,[],[f3729,f3253,f152,f20340]) ).

fof(f20340,plain,
    ( spl3_998
  <=> sdtasdt0(sK1,xn) = sdtasdt0(sdtasdt0(sK1,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_998])]) ).

fof(f3729,plain,
    ( sdtasdt0(sK1,xn) = sdtasdt0(sdtasdt0(sK1,xn),sz10)
    | ~ spl3_9
    | ~ spl3_234 ),
    inference(resolution,[],[f3254,f154]) ).

fof(f20338,plain,
    ( spl3_997
    | ~ spl3_8
    | ~ spl3_234 ),
    inference(avatar_split_clause,[],[f3728,f3253,f147,f20335]) ).

fof(f20335,plain,
    ( spl3_997
  <=> sdtasdt0(sK1,xm) = sdtasdt0(sdtasdt0(sK1,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_997])]) ).

fof(f3728,plain,
    ( sdtasdt0(sK1,xm) = sdtasdt0(sdtasdt0(sK1,xm),sz10)
    | ~ spl3_8
    | ~ spl3_234 ),
    inference(resolution,[],[f3254,f149]) ).

fof(f20333,plain,
    ( spl3_996
    | ~ spl3_1
    | ~ spl3_233 ),
    inference(avatar_split_clause,[],[f3715,f3249,f112,f20330]) ).

fof(f20330,plain,
    ( spl3_996
  <=> sdtasdt0(sK0,sK1) = sdtasdt0(sdtasdt0(sK0,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_996])]) ).

fof(f3249,plain,
    ( spl3_233
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sdtasdt0(sK0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_233])]) ).

fof(f3715,plain,
    ( sdtasdt0(sK0,sK1) = sdtasdt0(sdtasdt0(sK0,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_233 ),
    inference(resolution,[],[f3250,f114]) ).

fof(f3250,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sdtasdt0(sK0,X0),sz10) )
    | ~ spl3_233 ),
    inference(avatar_component_clause,[],[f3249]) ).

fof(f20328,plain,
    ( spl3_995
    | ~ spl3_2
    | ~ spl3_233 ),
    inference(avatar_split_clause,[],[f3714,f3249,f117,f20325]) ).

fof(f20325,plain,
    ( spl3_995
  <=> sdtasdt0(sK0,sK0) = sdtasdt0(sdtasdt0(sK0,sK0),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_995])]) ).

fof(f3714,plain,
    ( sdtasdt0(sK0,sK0) = sdtasdt0(sdtasdt0(sK0,sK0),sz10)
    | ~ spl3_2
    | ~ spl3_233 ),
    inference(resolution,[],[f3250,f119]) ).

fof(f20323,plain,
    ( spl3_994
    | ~ spl3_9
    | ~ spl3_233 ),
    inference(avatar_split_clause,[],[f3713,f3249,f152,f20320]) ).

fof(f20320,plain,
    ( spl3_994
  <=> sdtasdt0(sK0,xn) = sdtasdt0(sdtasdt0(sK0,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_994])]) ).

fof(f3713,plain,
    ( sdtasdt0(sK0,xn) = sdtasdt0(sdtasdt0(sK0,xn),sz10)
    | ~ spl3_9
    | ~ spl3_233 ),
    inference(resolution,[],[f3250,f154]) ).

fof(f20318,plain,
    ( spl3_993
    | ~ spl3_8
    | ~ spl3_233 ),
    inference(avatar_split_clause,[],[f3712,f3249,f147,f20315]) ).

fof(f20315,plain,
    ( spl3_993
  <=> sdtasdt0(sK0,xm) = sdtasdt0(sdtasdt0(sK0,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_993])]) ).

fof(f3712,plain,
    ( sdtasdt0(sK0,xm) = sdtasdt0(sdtasdt0(sK0,xm),sz10)
    | ~ spl3_8
    | ~ spl3_233 ),
    inference(resolution,[],[f3250,f149]) ).

fof(f20313,plain,
    ( spl3_992
    | ~ spl3_1
    | ~ spl3_232 ),
    inference(avatar_split_clause,[],[f3697,f3245,f112,f20310]) ).

fof(f20310,plain,
    ( spl3_992
  <=> sdtasdt0(sK1,sK1) = sdtasdt0(sz10,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_992])]) ).

fof(f3245,plain,
    ( spl3_232
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sz10,sdtasdt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_232])]) ).

fof(f3697,plain,
    ( sdtasdt0(sK1,sK1) = sdtasdt0(sz10,sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_232 ),
    inference(resolution,[],[f3246,f114]) ).

fof(f3246,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sz10,sdtasdt0(sK1,X0)) )
    | ~ spl3_232 ),
    inference(avatar_component_clause,[],[f3245]) ).

fof(f20308,plain,
    ( spl3_991
    | ~ spl3_9
    | ~ spl3_232 ),
    inference(avatar_split_clause,[],[f3695,f3245,f152,f20305]) ).

fof(f20305,plain,
    ( spl3_991
  <=> sdtasdt0(sK1,xn) = sdtasdt0(sz10,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_991])]) ).

fof(f3695,plain,
    ( sdtasdt0(sK1,xn) = sdtasdt0(sz10,sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_232 ),
    inference(resolution,[],[f3246,f154]) ).

fof(f20303,plain,
    ( spl3_990
    | ~ spl3_8
    | ~ spl3_232 ),
    inference(avatar_split_clause,[],[f3694,f3245,f147,f20300]) ).

fof(f20300,plain,
    ( spl3_990
  <=> sdtasdt0(sK1,xm) = sdtasdt0(sz10,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_990])]) ).

fof(f3694,plain,
    ( sdtasdt0(sK1,xm) = sdtasdt0(sz10,sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_232 ),
    inference(resolution,[],[f3246,f149]) ).

fof(f20298,plain,
    ( spl3_989
    | ~ spl3_1
    | ~ spl3_231 ),
    inference(avatar_split_clause,[],[f3681,f3241,f112,f20295]) ).

fof(f20295,plain,
    ( spl3_989
  <=> sdtasdt0(sK0,sK1) = sdtasdt0(sz10,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_989])]) ).

fof(f3241,plain,
    ( spl3_231
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sz10,sdtasdt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_231])]) ).

fof(f3681,plain,
    ( sdtasdt0(sK0,sK1) = sdtasdt0(sz10,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_231 ),
    inference(resolution,[],[f3242,f114]) ).

fof(f3242,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sz10,sdtasdt0(sK0,X0)) )
    | ~ spl3_231 ),
    inference(avatar_component_clause,[],[f3241]) ).

fof(f20293,plain,
    ( spl3_988
    | ~ spl3_2
    | ~ spl3_231 ),
    inference(avatar_split_clause,[],[f3680,f3241,f117,f20290]) ).

fof(f20290,plain,
    ( spl3_988
  <=> sdtasdt0(sK0,sK0) = sdtasdt0(sz10,sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_988])]) ).

fof(f3680,plain,
    ( sdtasdt0(sK0,sK0) = sdtasdt0(sz10,sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_231 ),
    inference(resolution,[],[f3242,f119]) ).

fof(f20288,plain,
    ( spl3_987
    | ~ spl3_9
    | ~ spl3_231 ),
    inference(avatar_split_clause,[],[f3679,f3241,f152,f20285]) ).

fof(f20285,plain,
    ( spl3_987
  <=> sdtasdt0(sK0,xn) = sdtasdt0(sz10,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_987])]) ).

fof(f3679,plain,
    ( sdtasdt0(sK0,xn) = sdtasdt0(sz10,sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_231 ),
    inference(resolution,[],[f3242,f154]) ).

fof(f20283,plain,
    ( spl3_986
    | ~ spl3_8
    | ~ spl3_231 ),
    inference(avatar_split_clause,[],[f3678,f3241,f147,f20280]) ).

fof(f20280,plain,
    ( spl3_986
  <=> sdtasdt0(sK0,xm) = sdtasdt0(sz10,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_986])]) ).

fof(f3678,plain,
    ( sdtasdt0(sK0,xm) = sdtasdt0(sz10,sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_231 ),
    inference(resolution,[],[f3242,f149]) ).

fof(f20278,plain,
    ( spl3_985
    | ~ spl3_1
    | ~ spl3_229 ),
    inference(avatar_split_clause,[],[f3663,f3232,f112,f20275]) ).

fof(f20275,plain,
    ( spl3_985
  <=> sdtasdt0(sK1,sK1) = sdtpldt0(sdtasdt0(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_985])]) ).

fof(f3232,plain,
    ( spl3_229
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sdtasdt0(sK1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_229])]) ).

fof(f3663,plain,
    ( sdtasdt0(sK1,sK1) = sdtpldt0(sdtasdt0(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_229 ),
    inference(resolution,[],[f3233,f114]) ).

fof(f3233,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sdtasdt0(sK1,X0),sz00) )
    | ~ spl3_229 ),
    inference(avatar_component_clause,[],[f3232]) ).

fof(f20273,plain,
    ( spl3_984
    | ~ spl3_9
    | ~ spl3_229 ),
    inference(avatar_split_clause,[],[f3661,f3232,f152,f20270]) ).

fof(f20270,plain,
    ( spl3_984
  <=> sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_984])]) ).

fof(f3661,plain,
    ( sdtasdt0(sK1,xn) = sdtpldt0(sdtasdt0(sK1,xn),sz00)
    | ~ spl3_9
    | ~ spl3_229 ),
    inference(resolution,[],[f3233,f154]) ).

fof(f20268,plain,
    ( spl3_983
    | ~ spl3_8
    | ~ spl3_229 ),
    inference(avatar_split_clause,[],[f3660,f3232,f147,f20265]) ).

fof(f20265,plain,
    ( spl3_983
  <=> sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_983])]) ).

fof(f3660,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sdtasdt0(sK1,xm),sz00)
    | ~ spl3_8
    | ~ spl3_229 ),
    inference(resolution,[],[f3233,f149]) ).

fof(f20263,plain,
    ( spl3_982
    | ~ spl3_1
    | ~ spl3_228 ),
    inference(avatar_split_clause,[],[f3647,f3228,f112,f20260]) ).

fof(f20260,plain,
    ( spl3_982
  <=> sdtasdt0(sK0,sK1) = sdtpldt0(sdtasdt0(sK0,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_982])]) ).

fof(f3228,plain,
    ( spl3_228
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sdtasdt0(sK0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_228])]) ).

fof(f3647,plain,
    ( sdtasdt0(sK0,sK1) = sdtpldt0(sdtasdt0(sK0,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_228 ),
    inference(resolution,[],[f3229,f114]) ).

fof(f3229,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sdtasdt0(sK0,X0),sz00) )
    | ~ spl3_228 ),
    inference(avatar_component_clause,[],[f3228]) ).

fof(f20258,plain,
    ( spl3_981
    | ~ spl3_2
    | ~ spl3_228 ),
    inference(avatar_split_clause,[],[f3646,f3228,f117,f20255]) ).

fof(f20255,plain,
    ( spl3_981
  <=> sdtasdt0(sK0,sK0) = sdtpldt0(sdtasdt0(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_981])]) ).

fof(f3646,plain,
    ( sdtasdt0(sK0,sK0) = sdtpldt0(sdtasdt0(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_228 ),
    inference(resolution,[],[f3229,f119]) ).

fof(f20253,plain,
    ( spl3_980
    | ~ spl3_9
    | ~ spl3_228 ),
    inference(avatar_split_clause,[],[f3645,f3228,f152,f20250]) ).

fof(f20250,plain,
    ( spl3_980
  <=> sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_980])]) ).

fof(f3645,plain,
    ( sdtasdt0(sK0,xn) = sdtpldt0(sdtasdt0(sK0,xn),sz00)
    | ~ spl3_9
    | ~ spl3_228 ),
    inference(resolution,[],[f3229,f154]) ).

fof(f20248,plain,
    ( spl3_979
    | ~ spl3_8
    | ~ spl3_228 ),
    inference(avatar_split_clause,[],[f3644,f3228,f147,f20245]) ).

fof(f20245,plain,
    ( spl3_979
  <=> sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_979])]) ).

fof(f3644,plain,
    ( sdtasdt0(sK0,xm) = sdtpldt0(sdtasdt0(sK0,xm),sz00)
    | ~ spl3_8
    | ~ spl3_228 ),
    inference(resolution,[],[f3229,f149]) ).

fof(f20243,plain,
    ( spl3_978
    | ~ spl3_1
    | ~ spl3_227 ),
    inference(avatar_split_clause,[],[f3629,f3224,f112,f20240]) ).

fof(f20240,plain,
    ( spl3_978
  <=> sdtasdt0(sK1,sK1) = sdtpldt0(sz00,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_978])]) ).

fof(f3224,plain,
    ( spl3_227
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sz00,sdtasdt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_227])]) ).

fof(f3629,plain,
    ( sdtasdt0(sK1,sK1) = sdtpldt0(sz00,sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_227 ),
    inference(resolution,[],[f3225,f114]) ).

fof(f3225,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sz00,sdtasdt0(sK1,X0)) )
    | ~ spl3_227 ),
    inference(avatar_component_clause,[],[f3224]) ).

fof(f20238,plain,
    ( spl3_977
    | ~ spl3_9
    | ~ spl3_227 ),
    inference(avatar_split_clause,[],[f3627,f3224,f152,f20235]) ).

fof(f20235,plain,
    ( spl3_977
  <=> sdtasdt0(sK1,xn) = sdtpldt0(sz00,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_977])]) ).

fof(f3627,plain,
    ( sdtasdt0(sK1,xn) = sdtpldt0(sz00,sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_227 ),
    inference(resolution,[],[f3225,f154]) ).

fof(f20233,plain,
    ( spl3_976
    | ~ spl3_8
    | ~ spl3_227 ),
    inference(avatar_split_clause,[],[f3626,f3224,f147,f20230]) ).

fof(f20230,plain,
    ( spl3_976
  <=> sdtasdt0(sK1,xm) = sdtpldt0(sz00,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_976])]) ).

fof(f3626,plain,
    ( sdtasdt0(sK1,xm) = sdtpldt0(sz00,sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_227 ),
    inference(resolution,[],[f3225,f149]) ).

fof(f20228,plain,
    ( spl3_975
    | ~ spl3_1
    | ~ spl3_226 ),
    inference(avatar_split_clause,[],[f3613,f3220,f112,f20225]) ).

fof(f20225,plain,
    ( spl3_975
  <=> sdtasdt0(sK0,sK1) = sdtpldt0(sz00,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_975])]) ).

fof(f3220,plain,
    ( spl3_226
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sz00,sdtasdt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_226])]) ).

fof(f3613,plain,
    ( sdtasdt0(sK0,sK1) = sdtpldt0(sz00,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_226 ),
    inference(resolution,[],[f3221,f114]) ).

fof(f3221,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sz00,sdtasdt0(sK0,X0)) )
    | ~ spl3_226 ),
    inference(avatar_component_clause,[],[f3220]) ).

fof(f20223,plain,
    ( spl3_974
    | ~ spl3_2
    | ~ spl3_226 ),
    inference(avatar_split_clause,[],[f3612,f3220,f117,f20220]) ).

fof(f20220,plain,
    ( spl3_974
  <=> sdtasdt0(sK0,sK0) = sdtpldt0(sz00,sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_974])]) ).

fof(f3612,plain,
    ( sdtasdt0(sK0,sK0) = sdtpldt0(sz00,sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_226 ),
    inference(resolution,[],[f3221,f119]) ).

fof(f20218,plain,
    ( spl3_973
    | ~ spl3_9
    | ~ spl3_226 ),
    inference(avatar_split_clause,[],[f3611,f3220,f152,f20215]) ).

fof(f20215,plain,
    ( spl3_973
  <=> sdtasdt0(sK0,xn) = sdtpldt0(sz00,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_973])]) ).

fof(f3611,plain,
    ( sdtasdt0(sK0,xn) = sdtpldt0(sz00,sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_226 ),
    inference(resolution,[],[f3221,f154]) ).

fof(f20131,plain,
    ( spl3_972
    | ~ spl3_26
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2379,f2337,f276,f20129]) ).

fof(f20129,plain,
    ( spl3_972
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK2(X3,X4)) = sdtpldt0(sdtasdt0(X0,sK2(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sK2(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_972])]) ).

fof(f2337,plain,
    ( spl3_180
  <=> ! [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,[spl3_180])]) ).

fof(f2379,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK2(X3,X4)) = sdtpldt0(sdtasdt0(X0,sK2(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sK2(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f277]) ).

fof(f2338,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) )
    | ~ spl3_180 ),
    inference(avatar_component_clause,[],[f2337]) ).

fof(f20127,plain,
    ( spl3_971
    | ~ spl3_8
    | ~ spl3_226 ),
    inference(avatar_split_clause,[],[f3610,f3220,f147,f20124]) ).

fof(f20124,plain,
    ( spl3_971
  <=> sdtasdt0(sK0,xm) = sdtpldt0(sz00,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_971])]) ).

fof(f3610,plain,
    ( sdtasdt0(sK0,xm) = sdtpldt0(sz00,sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_226 ),
    inference(resolution,[],[f3221,f149]) ).

fof(f20122,plain,
    ( spl3_970
    | ~ spl3_27
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2374,f2337,f280,f20120]) ).

fof(f20120,plain,
    ( spl3_970
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtmndt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtmndt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_970])]) ).

fof(f280,plain,
    ( spl3_27
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f2374,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtmndt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtmndt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f281]) ).

fof(f281,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X1,X0))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f20118,plain,
    ( spl3_969
    | ~ spl3_26
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2369,f2333,f276,f20116]) ).

fof(f20116,plain,
    ( spl3_969
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK2(X3,X4)) = sdtpldt0(sdtasdt0(X0,sK2(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sK2(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_969])]) ).

fof(f2333,plain,
    ( spl3_179
  <=> ! [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,[spl3_179])]) ).

fof(f2369,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK2(X3,X4)) = sdtpldt0(sdtasdt0(X0,sK2(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sK2(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f277]) ).

fof(f2334,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) )
    | ~ spl3_179 ),
    inference(avatar_component_clause,[],[f2333]) ).

fof(f20114,plain,
    ( spl3_968
    | ~ spl3_27
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2364,f2333,f280,f20112]) ).

fof(f20112,plain,
    ( spl3_968
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtmndt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtmndt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_968])]) ).

fof(f2364,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtmndt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtmndt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f281]) ).

fof(f20028,plain,
    ( spl3_967
    | ~ spl3_26
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2359,f2329,f276,f20026]) ).

fof(f20026,plain,
    ( spl3_967
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK2(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_967])]) ).

fof(f2329,plain,
    ( spl3_178
  <=> ! [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,[spl3_178])]) ).

fof(f2359,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK2(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f277]) ).

fof(f2330,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) )
    | ~ spl3_178 ),
    inference(avatar_component_clause,[],[f2329]) ).

fof(f20024,plain,
    ( spl3_966
    | ~ spl3_27
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2354,f2329,f280,f20022]) ).

fof(f20022,plain,
    ( spl3_966
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_966])]) ).

fof(f2354,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f281]) ).

fof(f20020,plain,
    ( spl3_965
    | ~ spl3_26
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2349,f2320,f276,f20018]) ).

fof(f20018,plain,
    ( spl3_965
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK2(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_965])]) ).

fof(f2320,plain,
    ( spl3_176
  <=> ! [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,[spl3_176])]) ).

fof(f2349,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK2(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f277]) ).

fof(f2321,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) )
    | ~ spl3_176 ),
    inference(avatar_component_clause,[],[f2320]) ).

fof(f20016,plain,
    ( spl3_964
    | ~ spl3_1
    | ~ spl3_225 ),
    inference(avatar_split_clause,[],[f3595,f3216,f112,f20013]) ).

fof(f20013,plain,
    ( spl3_964
  <=> sdtpldt0(sK1,sK1) = sdtasdt0(sdtpldt0(sK1,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_964])]) ).

fof(f3216,plain,
    ( spl3_225
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sdtpldt0(sK1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_225])]) ).

fof(f3595,plain,
    ( sdtpldt0(sK1,sK1) = sdtasdt0(sdtpldt0(sK1,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_225 ),
    inference(resolution,[],[f3217,f114]) ).

fof(f3217,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sdtpldt0(sK1,X0),sz10) )
    | ~ spl3_225 ),
    inference(avatar_component_clause,[],[f3216]) ).

fof(f20011,plain,
    ( spl3_963
    | ~ spl3_27
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2344,f2320,f280,f20009]) ).

fof(f20009,plain,
    ( spl3_963
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_963])]) ).

fof(f2344,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f281]) ).

fof(f19615,plain,
    ( spl3_962
    | ~ spl3_31
    | ~ spl3_189 ),
    inference(avatar_split_clause,[],[f2492,f2450,f337,f19613]) ).

fof(f19613,plain,
    ( spl3_962
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,sdtpldt0(X2,X3)),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_962])]) ).

fof(f337,plain,
    ( spl3_31
  <=> ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f2450,plain,
    ( spl3_189
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK2(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK2(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_189])]) ).

fof(f2492,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,sdtpldt0(X2,X3)),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_189 ),
    inference(duplicate_literal_removal,[],[f2487]) ).

fof(f2487,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,sdtpldt0(X2,X3)),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_189 ),
    inference(resolution,[],[f2451,f338]) ).

fof(f338,plain,
    ( ! [X2,X0] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2451,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | sdtasdt0(sdtpldt0(X0,sK2(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK2(X1,X2),X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_189 ),
    inference(avatar_component_clause,[],[f2450]) ).

fof(f19611,plain,
    ( spl3_961
    | ~ spl3_9
    | ~ spl3_225 ),
    inference(avatar_split_clause,[],[f3593,f3216,f152,f19608]) ).

fof(f19608,plain,
    ( spl3_961
  <=> sdtpldt0(sK1,xn) = sdtasdt0(sdtpldt0(sK1,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_961])]) ).

fof(f3593,plain,
    ( sdtpldt0(sK1,xn) = sdtasdt0(sdtpldt0(sK1,xn),sz10)
    | ~ spl3_9
    | ~ spl3_225 ),
    inference(resolution,[],[f3217,f154]) ).

fof(f19606,plain,
    ( spl3_960
    | ~ spl3_31
    | ~ spl3_188 ),
    inference(avatar_split_clause,[],[f2482,f2446,f337,f19604]) ).

fof(f19604,plain,
    ( spl3_960
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(sdtpldt0(X2,X3),X2),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_960])]) ).

fof(f2446,plain,
    ( spl3_188
  <=> ! [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,[spl3_188])]) ).

fof(f2482,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(sdtpldt0(X2,X3),X2),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_188 ),
    inference(duplicate_literal_removal,[],[f2477]) ).

fof(f2477,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(sdtpldt0(X2,X3),X2),X1))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_188 ),
    inference(resolution,[],[f2447,f338]) ).

fof(f2447,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtmndt0(X1,X2),X3))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_188 ),
    inference(avatar_component_clause,[],[f2446]) ).

fof(f19602,plain,
    ( spl3_959
    | ~ spl3_31
    | ~ spl3_187 ),
    inference(avatar_split_clause,[],[f2474,f2442,f337,f19600]) ).

fof(f19600,plain,
    ( spl3_959
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_959])]) ).

fof(f2442,plain,
    ( spl3_187
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_187])]) ).

fof(f2474,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_187 ),
    inference(duplicate_literal_removal,[],[f2469]) ).

fof(f2469,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_187 ),
    inference(resolution,[],[f2443,f338]) ).

fof(f2443,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2,X3)))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_187 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f19598,plain,
    ( spl3_958
    | ~ spl3_31
    | ~ spl3_186 ),
    inference(avatar_split_clause,[],[f2459,f2438,f337,f19596]) ).

fof(f19596,plain,
    ( spl3_958
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_958])]) ).

fof(f2438,plain,
    ( spl3_186
  <=> ! [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,[spl3_186])]) ).

fof(f2459,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_186 ),
    inference(duplicate_literal_removal,[],[f2454]) ).

fof(f2454,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_186 ),
    inference(resolution,[],[f2439,f338]) ).

fof(f2439,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtmndt0(X2,X3)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_186 ),
    inference(avatar_component_clause,[],[f2438]) ).

fof(f19594,plain,
    ( spl3_957
    | ~ spl3_22
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2373,f2337,f245,f19592]) ).

fof(f19592,plain,
    ( spl3_957
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_957])]) ).

fof(f245,plain,
    ( spl3_22
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f2373,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f246]) ).

fof(f246,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f19590,plain,
    ( spl3_956
    | ~ spl3_21
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2372,f2337,f241,f19588]) ).

fof(f19588,plain,
    ( spl3_956
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_956])]) ).

fof(f2372,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f242]) ).

fof(f19586,plain,
    ( spl3_955
    | ~ spl3_22
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2363,f2333,f245,f19584]) ).

fof(f19584,plain,
    ( spl3_955
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtasdt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_955])]) ).

fof(f2363,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtasdt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f246]) ).

fof(f19582,plain,
    ( spl3_954
    | ~ spl3_21
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2362,f2333,f241,f19580]) ).

fof(f19580,plain,
    ( spl3_954
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_954])]) ).

fof(f2362,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f242]) ).

fof(f19519,plain,
    ( spl3_953
    | ~ spl3_11
    | ~ spl3_225 ),
    inference(avatar_split_clause,[],[f3588,f3216,f162,f19516]) ).

fof(f19516,plain,
    ( spl3_953
  <=> sdtpldt0(sK1,sz10) = sdtasdt0(sdtpldt0(sK1,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_953])]) ).

fof(f3588,plain,
    ( sdtpldt0(sK1,sz10) = sdtasdt0(sdtpldt0(sK1,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_225 ),
    inference(resolution,[],[f3217,f164]) ).

fof(f19409,plain,
    ( spl3_952
    | ~ spl3_26
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2318,f2276,f276,f19407]) ).

fof(f19407,plain,
    ( spl3_952
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK2(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_952])]) ).

fof(f2276,plain,
    ( spl3_175
  <=> ! [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,[spl3_175])]) ).

fof(f2318,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK2(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f277]) ).

fof(f2277,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) )
    | ~ spl3_175 ),
    inference(avatar_component_clause,[],[f2276]) ).

fof(f19405,plain,
    ( spl3_951
    | ~ spl3_27
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2313,f2276,f280,f19403]) ).

fof(f19403,plain,
    ( spl3_951
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtmndt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_951])]) ).

fof(f2313,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtmndt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f281]) ).

fof(f19401,plain,
    ( spl3_950
    | ~ spl3_26
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2308,f2272,f276,f19399]) ).

fof(f19399,plain,
    ( spl3_950
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK2(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_950])]) ).

fof(f2272,plain,
    ( spl3_174
  <=> ! [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,[spl3_174])]) ).

fof(f2308,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK2(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f277]) ).

fof(f2273,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) )
    | ~ spl3_174 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f19397,plain,
    ( spl3_949
    | ~ spl3_27
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2303,f2272,f280,f19395]) ).

fof(f19395,plain,
    ( spl3_949
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtmndt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_949])]) ).

fof(f2303,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtmndt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f281]) ).

fof(f19393,plain,
    ( spl3_948
    | ~ spl3_26
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2298,f2268,f276,f19391]) ).

fof(f19391,plain,
    ( spl3_948
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK2(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_948])]) ).

fof(f2268,plain,
    ( spl3_173
  <=> ! [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,[spl3_173])]) ).

fof(f2298,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK2(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f277]) ).

fof(f2269,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) )
    | ~ spl3_173 ),
    inference(avatar_component_clause,[],[f2268]) ).

fof(f19389,plain,
    ( spl3_947
    | ~ spl3_1
    | ~ spl3_224 ),
    inference(avatar_split_clause,[],[f3579,f3212,f112,f19386]) ).

fof(f19386,plain,
    ( spl3_947
  <=> sdtpldt0(sK0,sK1) = sdtasdt0(sdtpldt0(sK0,sK1),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_947])]) ).

fof(f3212,plain,
    ( spl3_224
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sdtpldt0(sK0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_224])]) ).

fof(f3579,plain,
    ( sdtpldt0(sK0,sK1) = sdtasdt0(sdtpldt0(sK0,sK1),sz10)
    | ~ spl3_1
    | ~ spl3_224 ),
    inference(resolution,[],[f3213,f114]) ).

fof(f3213,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sdtpldt0(sK0,X0),sz10) )
    | ~ spl3_224 ),
    inference(avatar_component_clause,[],[f3212]) ).

fof(f19384,plain,
    ( spl3_946
    | ~ spl3_27
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2293,f2268,f280,f19382]) ).

fof(f19382,plain,
    ( spl3_946
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtmndt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_946])]) ).

fof(f2293,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtmndt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f281]) ).

fof(f19380,plain,
    ( spl3_945
    | ~ spl3_26
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2288,f2264,f276,f19378]) ).

fof(f19378,plain,
    ( spl3_945
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK2(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_945])]) ).

fof(f2264,plain,
    ( spl3_172
  <=> ! [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,[spl3_172])]) ).

fof(f2288,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK2(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK2(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_26
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f277]) ).

fof(f2265,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) )
    | ~ spl3_172 ),
    inference(avatar_component_clause,[],[f2264]) ).

fof(f19376,plain,
    ( spl3_944
    | ~ spl3_27
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2283,f2264,f280,f19374]) ).

fof(f19374,plain,
    ( spl3_944
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtmndt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_944])]) ).

fof(f2283,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtmndt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtmndt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X4,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl3_27
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f281]) ).

fof(f18994,plain,
    ( spl3_943
    | ~ spl3_2
    | ~ spl3_224 ),
    inference(avatar_split_clause,[],[f3578,f3212,f117,f18991]) ).

fof(f18991,plain,
    ( spl3_943
  <=> sdtpldt0(sK0,sK0) = sdtasdt0(sdtpldt0(sK0,sK0),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_943])]) ).

fof(f3578,plain,
    ( sdtpldt0(sK0,sK0) = sdtasdt0(sdtpldt0(sK0,sK0),sz10)
    | ~ spl3_2
    | ~ spl3_224 ),
    inference(resolution,[],[f3213,f119]) ).

fof(f18975,plain,
    ( spl3_942
    | ~ spl3_31
    | ~ spl3_185 ),
    inference(avatar_split_clause,[],[f2435,f2398,f337,f18973]) ).

fof(f18973,plain,
    ( spl3_942
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_942])]) ).

fof(f2398,plain,
    ( spl3_185
  <=> ! [X0,X3,X2,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK2(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_185])]) ).

fof(f2435,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_185 ),
    inference(duplicate_literal_removal,[],[f2430]) ).

fof(f2430,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_185 ),
    inference(resolution,[],[f2399,f338]) ).

fof(f2399,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X0,X1),sK2(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_185 ),
    inference(avatar_component_clause,[],[f2398]) ).

fof(f18971,plain,
    ( spl3_941
    | ~ spl3_31
    | ~ spl3_183 ),
    inference(avatar_split_clause,[],[f2425,f2389,f337,f18969]) ).

fof(f18969,plain,
    ( spl3_941
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_941])]) ).

fof(f2389,plain,
    ( spl3_183
  <=> ! [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,[spl3_183])]) ).

fof(f2425,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_183 ),
    inference(duplicate_literal_removal,[],[f2420]) ).

fof(f2420,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_183 ),
    inference(resolution,[],[f2390,f338]) ).

fof(f2390,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) )
    | ~ spl3_183 ),
    inference(avatar_component_clause,[],[f2389]) ).

fof(f18967,plain,
    ( spl3_940
    | ~ spl3_31
    | ~ spl3_182 ),
    inference(avatar_split_clause,[],[f2417,f2385,f337,f18965]) ).

fof(f18965,plain,
    ( spl3_940
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_940])]) ).

fof(f2385,plain,
    ( spl3_182
  <=> ! [X0,X3,X2,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK2(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_182])]) ).

fof(f2417,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_182 ),
    inference(duplicate_literal_removal,[],[f2412]) ).

fof(f2412,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,sdtpldt0(X2,X3))))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_182 ),
    inference(resolution,[],[f2386,f338]) ).

fof(f2386,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X0,X1),sK2(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_182 ),
    inference(avatar_component_clause,[],[f2385]) ).

fof(f18963,plain,
    ( spl3_939
    | ~ spl3_31
    | ~ spl3_181 ),
    inference(avatar_split_clause,[],[f2407,f2381,f337,f18961]) ).

fof(f18961,plain,
    ( spl3_939
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_939])]) ).

fof(f2381,plain,
    ( spl3_181
  <=> ! [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,[spl3_181])]) ).

fof(f2407,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_31
    | ~ spl3_181 ),
    inference(duplicate_literal_removal,[],[f2402]) ).

fof(f2402,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(sdtpldt0(X2,X3),X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(sdtpldt0(X2,X3),X2)))
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sdtpldt0(X2,X3))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_31
    | ~ spl3_181 ),
    inference(resolution,[],[f2382,f338]) ).

fof(f2382,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) )
    | ~ spl3_181 ),
    inference(avatar_component_clause,[],[f2381]) ).

fof(f18959,plain,
    ( spl3_938
    | ~ spl3_22
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2353,f2329,f245,f18957]) ).

fof(f18957,plain,
    ( spl3_938
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_938])]) ).

fof(f2353,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f246]) ).

fof(f18955,plain,
    ( spl3_937
    | ~ spl3_21
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2352,f2329,f241,f18953]) ).

fof(f18953,plain,
    ( spl3_937
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_937])]) ).

fof(f2352,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f242]) ).

fof(f18951,plain,
    ( spl3_936
    | ~ spl3_22
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2343,f2320,f245,f18949]) ).

fof(f18949,plain,
    ( spl3_936
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_936])]) ).

fof(f2343,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f246]) ).

fof(f18947,plain,
    ( spl3_935
    | ~ spl3_21
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2342,f2320,f241,f18945]) ).

fof(f18945,plain,
    ( spl3_935
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_935])]) ).

fof(f2342,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f242]) ).

fof(f18929,plain,
    ( spl3_934
    | ~ spl3_8
    | ~ spl3_224 ),
    inference(avatar_split_clause,[],[f3576,f3212,f147,f18926]) ).

fof(f18926,plain,
    ( spl3_934
  <=> sdtpldt0(sK0,xm) = sdtasdt0(sdtpldt0(sK0,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_934])]) ).

fof(f3576,plain,
    ( sdtpldt0(sK0,xm) = sdtasdt0(sdtpldt0(sK0,xm),sz10)
    | ~ spl3_8
    | ~ spl3_224 ),
    inference(resolution,[],[f3213,f149]) ).

fof(f18826,plain,
    ( spl3_933
    | ~ spl3_22
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2312,f2276,f245,f18824]) ).

fof(f18824,plain,
    ( spl3_933
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_933])]) ).

fof(f2312,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f246]) ).

fof(f18822,plain,
    ( spl3_932
    | ~ spl3_21
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2311,f2276,f241,f18820]) ).

fof(f18820,plain,
    ( spl3_932
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_932])]) ).

fof(f2311,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f242]) ).

fof(f18818,plain,
    ( spl3_931
    | ~ spl3_22
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2302,f2272,f245,f18816]) ).

fof(f18816,plain,
    ( spl3_931
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_931])]) ).

fof(f2302,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f246]) ).

fof(f18814,plain,
    ( spl3_930
    | ~ spl3_11
    | ~ spl3_224 ),
    inference(avatar_split_clause,[],[f3572,f3212,f162,f18811]) ).

fof(f18811,plain,
    ( spl3_930
  <=> sdtpldt0(sK0,sz10) = sdtasdt0(sdtpldt0(sK0,sz10),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_930])]) ).

fof(f3572,plain,
    ( sdtpldt0(sK0,sz10) = sdtasdt0(sdtpldt0(sK0,sz10),sz10)
    | ~ spl3_11
    | ~ spl3_224 ),
    inference(resolution,[],[f3213,f164]) ).

fof(f18809,plain,
    ( spl3_929
    | ~ spl3_21
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2301,f2272,f241,f18807]) ).

fof(f18807,plain,
    ( spl3_929
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_929])]) ).

fof(f2301,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f242]) ).

fof(f18805,plain,
    ( spl3_928
    | ~ spl3_22
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2292,f2268,f245,f18803]) ).

fof(f18803,plain,
    ( spl3_928
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_928])]) ).

fof(f2292,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f246]) ).

fof(f18801,plain,
    ( spl3_927
    | ~ spl3_21
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2291,f2268,f241,f18799]) ).

fof(f18799,plain,
    ( spl3_927
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_927])]) ).

fof(f2291,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f242]) ).

fof(f18797,plain,
    ( spl3_926
    | ~ spl3_22
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2282,f2264,f245,f18795]) ).

fof(f18795,plain,
    ( spl3_926
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_926])]) ).

fof(f2282,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_22
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f246]) ).

fof(f18793,plain,
    ( spl3_925
    | ~ spl3_21
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2281,f2264,f241,f18791]) ).

fof(f18791,plain,
    ( spl3_925
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_925])]) ).

fof(f2281,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_21
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f242]) ).

fof(f18699,plain,
    ( spl3_924
    | ~ spl3_26
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2113,f2016,f276,f18697]) ).

fof(f18697,plain,
    ( spl3_924
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sz10,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_924])]) ).

fof(f2016,plain,
    ( spl3_164
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_164])]) ).

fof(f2113,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sz10,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f277]) ).

fof(f2017,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1)) )
    | ~ spl3_164 ),
    inference(avatar_component_clause,[],[f2016]) ).

fof(f18695,plain,
    ( spl3_923
    | ~ spl3_1
    | ~ spl3_223 ),
    inference(avatar_split_clause,[],[f3556,f3208,f112,f18692]) ).

fof(f18692,plain,
    ( spl3_923
  <=> sdtpldt0(sK1,sK1) = sdtasdt0(sz10,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_923])]) ).

fof(f3208,plain,
    ( spl3_223
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sz10,sdtpldt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_223])]) ).

fof(f3556,plain,
    ( sdtpldt0(sK1,sK1) = sdtasdt0(sz10,sdtpldt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_223 ),
    inference(resolution,[],[f3209,f114]) ).

fof(f3209,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sz10,sdtpldt0(sK1,X0)) )
    | ~ spl3_223 ),
    inference(avatar_component_clause,[],[f3208]) ).

fof(f18690,plain,
    ( spl3_922
    | ~ spl3_27
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2108,f2016,f280,f18688]) ).

fof(f18688,plain,
    ( spl3_922
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sz10,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_922])]) ).

fof(f2108,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sz10,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f281]) ).

fof(f18686,plain,
    ( spl3_921
    | ~ spl3_26
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2097,f2003,f276,f18684]) ).

fof(f18684,plain,
    ( spl3_921
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sz00,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_921])]) ).

fof(f2003,plain,
    ( spl3_163
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_163])]) ).

fof(f2097,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sz00,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f277]) ).

fof(f2004,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1)) )
    | ~ spl3_163 ),
    inference(avatar_component_clause,[],[f2003]) ).

fof(f18682,plain,
    ( spl3_920
    | ~ spl3_27
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2092,f2003,f280,f18680]) ).

fof(f18680,plain,
    ( spl3_920
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sz00,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_920])]) ).

fof(f2092,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sz00,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f281]) ).

fof(f18588,plain,
    ( spl3_919
    | ~ spl3_26
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1972,f1916,f276,f18586]) ).

fof(f18586,plain,
    ( spl3_919
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(xn,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_919])]) ).

fof(f1916,plain,
    ( spl3_155
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_155])]) ).

fof(f1972,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(xn,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f277]) ).

fof(f1917,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1)) )
    | ~ spl3_155 ),
    inference(avatar_component_clause,[],[f1916]) ).

fof(f18584,plain,
    ( spl3_918
    | ~ spl3_27
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1967,f1916,f280,f18582]) ).

fof(f18582,plain,
    ( spl3_918
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(xn,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_918])]) ).

fof(f1967,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(xn,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f281]) ).

fof(f18580,plain,
    ( spl3_917
    | ~ spl3_26
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1958,f1912,f276,f18578]) ).

fof(f18578,plain,
    ( spl3_917
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(xm,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_917])]) ).

fof(f1912,plain,
    ( spl3_154
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_154])]) ).

fof(f1958,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(xm,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f277]) ).

fof(f1913,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1)) )
    | ~ spl3_154 ),
    inference(avatar_component_clause,[],[f1912]) ).

fof(f18576,plain,
    ( spl3_916
    | ~ spl3_9
    | ~ spl3_223 ),
    inference(avatar_split_clause,[],[f3554,f3208,f152,f18573]) ).

fof(f18573,plain,
    ( spl3_916
  <=> sdtpldt0(sK1,xn) = sdtasdt0(sz10,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_916])]) ).

fof(f3554,plain,
    ( sdtpldt0(sK1,xn) = sdtasdt0(sz10,sdtpldt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_223 ),
    inference(resolution,[],[f3209,f154]) ).

fof(f18571,plain,
    ( spl3_915
    | ~ spl3_27
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1953,f1912,f280,f18569]) ).

fof(f18569,plain,
    ( spl3_915
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(xm,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_915])]) ).

fof(f1953,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(xm,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f281]) ).

fof(f18381,plain,
    ( spl3_914
    | ~ spl3_11
    | ~ spl3_223 ),
    inference(avatar_split_clause,[],[f3549,f3208,f162,f18378]) ).

fof(f18378,plain,
    ( spl3_914
  <=> sdtpldt0(sK1,sz10) = sdtasdt0(sz10,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_914])]) ).

fof(f3549,plain,
    ( sdtpldt0(sK1,sz10) = sdtasdt0(sz10,sdtpldt0(sK1,sz10))
    | ~ spl3_11
    | ~ spl3_223 ),
    inference(resolution,[],[f3209,f164]) ).

fof(f18312,plain,
    ( spl3_913
    | ~ spl3_26
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2084,f1999,f276,f18310]) ).

fof(f18310,plain,
    ( spl3_913
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_913])]) ).

fof(f1999,plain,
    ( spl3_162
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_162])]) ).

fof(f2084,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f277]) ).

fof(f2000,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_162 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f18308,plain,
    ( spl3_912
    | ~ spl3_27
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2079,f1999,f280,f18306]) ).

fof(f18306,plain,
    ( spl3_912
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_912])]) ).

fof(f2079,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f281]) ).

fof(f18304,plain,
    ( spl3_911
    | ~ spl3_26
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2068,f1995,f276,f18302]) ).

fof(f18302,plain,
    ( spl3_911
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_911])]) ).

fof(f1995,plain,
    ( spl3_161
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_161])]) ).

fof(f2068,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f277]) ).

fof(f1996,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_161 ),
    inference(avatar_component_clause,[],[f1995]) ).

fof(f18300,plain,
    ( spl3_910
    | ~ spl3_27
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2063,f1995,f280,f18298]) ).

fof(f18298,plain,
    ( spl3_910
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_910])]) ).

fof(f2063,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f281]) ).

fof(f18296,plain,
    ( spl3_909
    | ~ spl3_26
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2058,f1991,f276,f18294]) ).

fof(f18294,plain,
    ( spl3_909
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK2(X2,X3))) = sdtasdt0(sdtasdt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_909])]) ).

fof(f1991,plain,
    ( spl3_160
  <=> ! [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,[spl3_160])]) ).

fof(f2058,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK2(X2,X3))) = sdtasdt0(sdtasdt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f277]) ).

fof(f1992,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_160 ),
    inference(avatar_component_clause,[],[f1991]) ).

fof(f18292,plain,
    ( spl3_908
    | ~ spl3_27
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2053,f1991,f280,f18290]) ).

fof(f18290,plain,
    ( spl3_908
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_908])]) ).

fof(f2053,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_27
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f281]) ).

fof(f18288,plain,
    ( spl3_907
    | ~ spl3_26
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2048,f1987,f276,f18286]) ).

fof(f18286,plain,
    ( spl3_907
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtasdt0(sdtpldt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_907])]) ).

fof(f1987,plain,
    ( spl3_159
  <=> ! [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,[spl3_159])]) ).

fof(f2048,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtasdt0(sdtpldt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f277]) ).

fof(f1988,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_159 ),
    inference(avatar_component_clause,[],[f1987]) ).

fof(f18284,plain,
    ( spl3_906
    | ~ spl3_1
    | ~ spl3_222 ),
    inference(avatar_split_clause,[],[f3540,f3204,f112,f18281]) ).

fof(f18281,plain,
    ( spl3_906
  <=> sdtpldt0(sK0,sK1) = sdtasdt0(sz10,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_906])]) ).

fof(f3204,plain,
    ( spl3_222
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sz10,sdtpldt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_222])]) ).

fof(f3540,plain,
    ( sdtpldt0(sK0,sK1) = sdtasdt0(sz10,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_222 ),
    inference(resolution,[],[f3205,f114]) ).

fof(f3205,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sz10,sdtpldt0(sK0,X0)) )
    | ~ spl3_222 ),
    inference(avatar_component_clause,[],[f3204]) ).

fof(f18279,plain,
    ( spl3_905
    | ~ spl3_27
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2043,f1987,f280,f18277]) ).

fof(f18277,plain,
    ( spl3_905
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_905])]) ).

fof(f2043,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_27
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f281]) ).

fof(f18275,plain,
    ( spl3_904
    | ~ spl3_26
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2038,f1983,f276,f18273]) ).

fof(f18273,plain,
    ( spl3_904
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK2(X2,X3))) = sdtpldt0(sdtasdt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_904])]) ).

fof(f1983,plain,
    ( spl3_158
  <=> ! [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,[spl3_158])]) ).

fof(f2038,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK2(X2,X3))) = sdtpldt0(sdtasdt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f277]) ).

fof(f1984,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_158 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f18271,plain,
    ( spl3_903
    | ~ spl3_27
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2033,f1983,f280,f18269]) ).

fof(f18269,plain,
    ( spl3_903
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_903])]) ).

fof(f2033,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_27
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f281]) ).

fof(f18267,plain,
    ( spl3_902
    | ~ spl3_26
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2028,f1979,f276,f18265]) ).

fof(f18265,plain,
    ( spl3_902
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtpldt0(sdtpldt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_902])]) ).

fof(f1979,plain,
    ( spl3_157
  <=> ! [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,[spl3_157])]) ).

fof(f2028,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtpldt0(sdtpldt0(X1,sK2(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f277]) ).

fof(f1980,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_157 ),
    inference(avatar_component_clause,[],[f1979]) ).

fof(f18263,plain,
    ( spl3_901
    | ~ spl3_27
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2023,f1979,f280,f18261]) ).

fof(f18261,plain,
    ( spl3_901
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_901])]) ).

fof(f2023,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtmndt0(X2,X3)),X0)
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X3,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl3_27
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f281]) ).

fof(f18173,plain,
    ( spl3_900
    | ~ spl3_26
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1946,f1908,f276,f18171]) ).

fof(f18171,plain,
    ( spl3_900
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_900])]) ).

fof(f1908,plain,
    ( spl3_153
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_153])]) ).

fof(f1946,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f277]) ).

fof(f1909,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_153 ),
    inference(avatar_component_clause,[],[f1908]) ).

fof(f18169,plain,
    ( spl3_899
    | ~ spl3_2
    | ~ spl3_222 ),
    inference(avatar_split_clause,[],[f3539,f3204,f117,f18166]) ).

fof(f18166,plain,
    ( spl3_899
  <=> sdtpldt0(sK0,sK0) = sdtasdt0(sz10,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_899])]) ).

fof(f3539,plain,
    ( sdtpldt0(sK0,sK0) = sdtasdt0(sz10,sdtpldt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_222 ),
    inference(resolution,[],[f3205,f119]) ).

fof(f18164,plain,
    ( spl3_898
    | ~ spl3_27
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1941,f1908,f280,f18162]) ).

fof(f18162,plain,
    ( spl3_898
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_898])]) ).

fof(f1941,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),xn)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f281]) ).

fof(f18160,plain,
    ( spl3_897
    | ~ spl3_26
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1928,f1904,f276,f18158]) ).

fof(f18158,plain,
    ( spl3_897
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_897])]) ).

fof(f1904,plain,
    ( spl3_152
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_152])]) ).

fof(f1928,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f277]) ).

fof(f1905,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_152 ),
    inference(avatar_component_clause,[],[f1904]) ).

fof(f18156,plain,
    ( spl3_896
    | ~ spl3_27
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1923,f1904,f280,f18154]) ).

fof(f18154,plain,
    ( spl3_896
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_896])]) ).

fof(f1923,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),xm)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f281]) ).

fof(f17774,plain,
    ( spl3_895
    | ~ spl3_8
    | ~ spl3_222 ),
    inference(avatar_split_clause,[],[f3537,f3204,f147,f17771]) ).

fof(f17771,plain,
    ( spl3_895
  <=> sdtpldt0(sK0,xm) = sdtasdt0(sz10,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_895])]) ).

fof(f3537,plain,
    ( sdtpldt0(sK0,xm) = sdtasdt0(sz10,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_222 ),
    inference(resolution,[],[f3205,f149]) ).

fof(f17755,plain,
    ( spl3_894
    | ~ spl3_31
    | ~ spl3_170 ),
    inference(avatar_split_clause,[],[f2259,f2219,f337,f17753]) ).

fof(f17753,plain,
    ( spl3_894
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_894])]) ).

fof(f2219,plain,
    ( spl3_170
  <=> ! [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,[spl3_170])]) ).

fof(f2259,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_170 ),
    inference(duplicate_literal_removal,[],[f2254]) ).

fof(f2254,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_170 ),
    inference(resolution,[],[f2220,f338]) ).

fof(f2220,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_170 ),
    inference(avatar_component_clause,[],[f2219]) ).

fof(f17751,plain,
    ( spl3_893
    | ~ spl3_31
    | ~ spl3_169 ),
    inference(avatar_split_clause,[],[f2244,f2215,f337,f17749]) ).

fof(f17749,plain,
    ( spl3_893
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_893])]) ).

fof(f2215,plain,
    ( spl3_169
  <=> ! [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,[spl3_169])]) ).

fof(f2244,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_169 ),
    inference(duplicate_literal_removal,[],[f2239]) ).

fof(f2239,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_169 ),
    inference(resolution,[],[f2216,f338]) ).

fof(f2216,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_169 ),
    inference(avatar_component_clause,[],[f2215]) ).

fof(f17747,plain,
    ( spl3_892
    | ~ spl3_31
    | ~ spl3_168 ),
    inference(avatar_split_clause,[],[f2236,f2211,f337,f17745]) ).

fof(f17745,plain,
    ( spl3_892
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_892])]) ).

fof(f2211,plain,
    ( spl3_168
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,X1)) = sdtasdt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_168])]) ).

fof(f2236,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_168 ),
    inference(duplicate_literal_removal,[],[f2231]) ).

fof(f2231,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_168 ),
    inference(resolution,[],[f2212,f338]) ).

fof(f2212,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,X1)) = sdtasdt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_168 ),
    inference(avatar_component_clause,[],[f2211]) ).

fof(f17743,plain,
    ( spl3_891
    | ~ spl3_31
    | ~ spl3_167 ),
    inference(avatar_split_clause,[],[f2228,f2207,f337,f17741]) ).

fof(f17741,plain,
    ( spl3_891
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_891])]) ).

fof(f2207,plain,
    ( spl3_167
  <=> ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_167])]) ).

fof(f2228,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_167 ),
    inference(duplicate_literal_removal,[],[f2223]) ).

fof(f2223,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,sdtpldt0(X0,X1))) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_167 ),
    inference(resolution,[],[f2208,f338]) ).

fof(f2208,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_167 ),
    inference(avatar_component_clause,[],[f2207]) ).

fof(f17739,plain,
    ( spl3_890
    | ~ spl3_22
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2107,f2016,f245,f17737]) ).

fof(f17737,plain,
    ( spl3_890
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz10,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_890])]) ).

fof(f2107,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz10,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f246]) ).

fof(f17735,plain,
    ( spl3_889
    | ~ spl3_21
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2106,f2016,f241,f17733]) ).

fof(f17733,plain,
    ( spl3_889
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz10,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_889])]) ).

fof(f2106,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz10,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f242]) ).

fof(f17731,plain,
    ( spl3_888
    | ~ spl3_22
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2091,f2003,f245,f17729]) ).

fof(f17729,plain,
    ( spl3_888
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz00,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_888])]) ).

fof(f2091,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz00,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f246]) ).

fof(f17727,plain,
    ( spl3_887
    | ~ spl3_21
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2090,f2003,f241,f17725]) ).

fof(f17725,plain,
    ( spl3_887
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz00,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_887])]) ).

fof(f2090,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz00,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f242]) ).

fof(f17709,plain,
    ( spl3_886
    | ~ spl3_11
    | ~ spl3_222 ),
    inference(avatar_split_clause,[],[f3533,f3204,f162,f17706]) ).

fof(f17706,plain,
    ( spl3_886
  <=> sdtpldt0(sK0,sz10) = sdtasdt0(sz10,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_886])]) ).

fof(f3533,plain,
    ( sdtpldt0(sK0,sz10) = sdtasdt0(sz10,sdtpldt0(sK0,sz10))
    | ~ spl3_11
    | ~ spl3_222 ),
    inference(resolution,[],[f3205,f164]) ).

fof(f17662,plain,
    ( spl3_885
    | ~ spl3_22
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1966,f1916,f245,f17660]) ).

fof(f17660,plain,
    ( spl3_885
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xn,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_885])]) ).

fof(f1966,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xn,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f246]) ).

fof(f17658,plain,
    ( spl3_884
    | ~ spl3_21
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1965,f1916,f241,f17656]) ).

fof(f17656,plain,
    ( spl3_884
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xn,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_884])]) ).

fof(f1965,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xn,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f242]) ).

fof(f17654,plain,
    ( spl3_883
    | ~ spl3_22
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1952,f1912,f245,f17652]) ).

fof(f17652,plain,
    ( spl3_883
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xm,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_883])]) ).

fof(f1952,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xm,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f246]) ).

fof(f17650,plain,
    ( spl3_882
    | ~ spl3_21
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1951,f1912,f241,f17648]) ).

fof(f17648,plain,
    ( spl3_882
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xm,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_882])]) ).

fof(f1951,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xm,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f242]) ).

fof(f17585,plain,
    ( spl3_881
    | ~ spl3_1
    | ~ spl3_221 ),
    inference(avatar_split_clause,[],[f3522,f3200,f112,f17582]) ).

fof(f17582,plain,
    ( spl3_881
  <=> sdtpldt0(sK1,sK1) = sdtpldt0(sdtpldt0(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_881])]) ).

fof(f3200,plain,
    ( spl3_221
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sdtpldt0(sK1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_221])]) ).

fof(f3522,plain,
    ( sdtpldt0(sK1,sK1) = sdtpldt0(sdtpldt0(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_221 ),
    inference(resolution,[],[f3201,f114]) ).

fof(f3201,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sdtpldt0(sK1,X0),sz00) )
    | ~ spl3_221 ),
    inference(avatar_component_clause,[],[f3200]) ).

fof(f17465,plain,
    ( spl3_880
    | ~ spl3_26
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1751,f1687,f276,f17463]) ).

fof(f17463,plain,
    ( spl3_880
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_880])]) ).

fof(f1687,plain,
    ( spl3_140
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_140])]) ).

fof(f1751,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f277]) ).

fof(f1688,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_140 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f17461,plain,
    ( spl3_879
    | ~ spl3_27
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1746,f1687,f280,f17459]) ).

fof(f17459,plain,
    ( spl3_879
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_879])]) ).

fof(f1746,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f281]) ).

fof(f17457,plain,
    ( spl3_878
    | ~ spl3_26
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1735,f1683,f276,f17455]) ).

fof(f17455,plain,
    ( spl3_878
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_878])]) ).

fof(f1683,plain,
    ( spl3_139
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_139])]) ).

fof(f1735,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f277]) ).

fof(f1684,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_139 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f17453,plain,
    ( spl3_877
    | ~ spl3_27
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1730,f1683,f280,f17451]) ).

fof(f17451,plain,
    ( spl3_877
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_877])]) ).

fof(f1730,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f281]) ).

fof(f17449,plain,
    ( spl3_876
    | ~ spl3_26
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1719,f1679,f276,f17447]) ).

fof(f17447,plain,
    ( spl3_876
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_876])]) ).

fof(f1679,plain,
    ( spl3_138
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_138])]) ).

fof(f1719,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f277]) ).

fof(f1680,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_138 ),
    inference(avatar_component_clause,[],[f1679]) ).

fof(f17445,plain,
    ( spl3_875
    | ~ spl3_9
    | ~ spl3_221 ),
    inference(avatar_split_clause,[],[f3520,f3200,f152,f17442]) ).

fof(f17442,plain,
    ( spl3_875
  <=> sdtpldt0(sK1,xn) = sdtpldt0(sdtpldt0(sK1,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_875])]) ).

fof(f3520,plain,
    ( sdtpldt0(sK1,xn) = sdtpldt0(sdtpldt0(sK1,xn),sz00)
    | ~ spl3_9
    | ~ spl3_221 ),
    inference(resolution,[],[f3201,f154]) ).

fof(f17440,plain,
    ( spl3_874
    | ~ spl3_27
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1714,f1679,f280,f17438]) ).

fof(f17438,plain,
    ( spl3_874
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_874])]) ).

fof(f1714,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f281]) ).

fof(f17436,plain,
    ( spl3_873
    | ~ spl3_26
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1703,f1670,f276,f17434]) ).

fof(f17434,plain,
    ( spl3_873
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_873])]) ).

fof(f1670,plain,
    ( spl3_136
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).

fof(f1703,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f277]) ).

fof(f1671,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_136 ),
    inference(avatar_component_clause,[],[f1670]) ).

fof(f17432,plain,
    ( spl3_872
    | ~ spl3_27
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1698,f1670,f280,f17430]) ).

fof(f17430,plain,
    ( spl3_872
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_872])]) ).

fof(f1698,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f281]) ).

fof(f17283,plain,
    ( spl3_871
    | ~ spl3_11
    | ~ spl3_221 ),
    inference(avatar_split_clause,[],[f3515,f3200,f162,f17280]) ).

fof(f17280,plain,
    ( spl3_871
  <=> sdtpldt0(sK1,sz10) = sdtpldt0(sdtpldt0(sK1,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_871])]) ).

fof(f3515,plain,
    ( sdtpldt0(sK1,sz10) = sdtpldt0(sdtpldt0(sK1,sz10),sz00)
    | ~ spl3_11
    | ~ spl3_221 ),
    inference(resolution,[],[f3201,f164]) ).

fof(f17255,plain,
    ( spl3_870
    | ~ spl3_26
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1666,f1616,f276,f17253]) ).

fof(f17253,plain,
    ( spl3_870
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_870])]) ).

fof(f1616,plain,
    ( spl3_135
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).

fof(f1666,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f277]) ).

fof(f1617,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_135 ),
    inference(avatar_component_clause,[],[f1616]) ).

fof(f17251,plain,
    ( spl3_869
    | ~ spl3_27
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1661,f1616,f280,f17249]) ).

fof(f17249,plain,
    ( spl3_869
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_869])]) ).

fof(f1661,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f281]) ).

fof(f17247,plain,
    ( spl3_868
    | ~ spl3_26
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1653,f1612,f276,f17245]) ).

fof(f17245,plain,
    ( spl3_868
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_868])]) ).

fof(f1612,plain,
    ( spl3_134
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).

fof(f1653,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f277]) ).

fof(f1613,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_134 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f17243,plain,
    ( spl3_867
    | ~ spl3_27
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1648,f1612,f280,f17241]) ).

fof(f17241,plain,
    ( spl3_867
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_867])]) ).

fof(f1648,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f281]) ).

fof(f17239,plain,
    ( spl3_866
    | ~ spl3_26
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1641,f1608,f276,f17237]) ).

fof(f17237,plain,
    ( spl3_866
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_866])]) ).

fof(f1608,plain,
    ( spl3_133
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).

fof(f1641,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f277]) ).

fof(f1609,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_133 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f17235,plain,
    ( spl3_865
    | ~ spl3_27
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1636,f1608,f280,f17233]) ).

fof(f17233,plain,
    ( spl3_865
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_865])]) ).

fof(f1636,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f281]) ).

fof(f17231,plain,
    ( spl3_864
    | ~ spl3_26
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1628,f1604,f276,f17229]) ).

fof(f17229,plain,
    ( spl3_864
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_864])]) ).

fof(f1604,plain,
    ( spl3_132
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).

fof(f1628,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f277]) ).

fof(f1605,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_132 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f17227,plain,
    ( spl3_863
    | ~ spl3_27
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1623,f1604,f280,f17225]) ).

fof(f17225,plain,
    ( spl3_863
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_863])]) ).

fof(f1623,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f281]) ).

fof(f17208,plain,
    ( spl3_862
    | ~ spl3_1
    | ~ spl3_220 ),
    inference(avatar_split_clause,[],[f3506,f3196,f112,f17205]) ).

fof(f17205,plain,
    ( spl3_862
  <=> sdtpldt0(sK0,sK1) = sdtpldt0(sdtpldt0(sK0,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_862])]) ).

fof(f3196,plain,
    ( spl3_220
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sdtpldt0(sK0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_220])]) ).

fof(f3506,plain,
    ( sdtpldt0(sK0,sK1) = sdtpldt0(sdtpldt0(sK0,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_220 ),
    inference(resolution,[],[f3197,f114]) ).

fof(f3197,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sdtpldt0(sK0,X0),sz00) )
    | ~ spl3_220 ),
    inference(avatar_component_clause,[],[f3196]) ).

fof(f17027,plain,
    ( spl3_861
    | ~ spl3_2
    | ~ spl3_220 ),
    inference(avatar_split_clause,[],[f3505,f3196,f117,f17024]) ).

fof(f17024,plain,
    ( spl3_861
  <=> sdtpldt0(sK0,sK0) = sdtpldt0(sdtpldt0(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_861])]) ).

fof(f3505,plain,
    ( sdtpldt0(sK0,sK0) = sdtpldt0(sdtpldt0(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_220 ),
    inference(resolution,[],[f3197,f119]) ).

fof(f16874,plain,
    ( spl3_860
    | ~ spl3_8
    | ~ spl3_220 ),
    inference(avatar_split_clause,[],[f3503,f3196,f147,f16871]) ).

fof(f16871,plain,
    ( spl3_860
  <=> sdtpldt0(sK0,xm) = sdtpldt0(sdtpldt0(sK0,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_860])]) ).

fof(f3503,plain,
    ( sdtpldt0(sK0,xm) = sdtpldt0(sdtpldt0(sK0,xm),sz00)
    | ~ spl3_8
    | ~ spl3_220 ),
    inference(resolution,[],[f3197,f149]) ).

fof(f16827,plain,
    ( spl3_859
    | ~ spl3_13
    | ~ spl3_189 ),
    inference(avatar_split_clause,[],[f2493,f2450,f172,f16825]) ).

fof(f16825,plain,
    ( spl3_859
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,X2),X1))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_859])]) ).

fof(f2493,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,X2),X1))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_189 ),
    inference(duplicate_literal_removal,[],[f2486]) ).

fof(f2486,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(X2,X2),X1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_189 ),
    inference(resolution,[],[f2451,f173]) ).

fof(f16823,plain,
    ( spl3_858
    | ~ spl3_13
    | ~ spl3_188 ),
    inference(avatar_split_clause,[],[f2483,f2446,f172,f16821]) ).

fof(f16821,plain,
    ( spl3_858
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(X2,X2),X1))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_858])]) ).

fof(f2483,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(X2,X2),X1))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_188 ),
    inference(duplicate_literal_removal,[],[f2476]) ).

fof(f2476,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sdtmndt0(X2,X2)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sdtmndt0(X2,X2),X1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_188 ),
    inference(resolution,[],[f2447,f173]) ).

fof(f16819,plain,
    ( spl3_857
    | ~ spl3_13
    | ~ spl3_187 ),
    inference(avatar_split_clause,[],[f2475,f2442,f172,f16817]) ).

fof(f16817,plain,
    ( spl3_857
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_857])]) ).

fof(f2475,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_187 ),
    inference(duplicate_literal_removal,[],[f2468]) ).

fof(f2468,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_187 ),
    inference(resolution,[],[f2443,f173]) ).

fof(f16815,plain,
    ( spl3_856
    | ~ spl3_13
    | ~ spl3_186 ),
    inference(avatar_split_clause,[],[f2460,f2438,f172,f16813]) ).

fof(f16813,plain,
    ( spl3_856
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_856])]) ).

fof(f2460,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_186 ),
    inference(duplicate_literal_removal,[],[f2453]) ).

fof(f2453,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_186 ),
    inference(resolution,[],[f2439,f173]) ).

fof(f16811,plain,
    ( spl3_855
    | ~ spl3_11
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2371,f2337,f162,f16809]) ).

fof(f16809,plain,
    ( spl3_855
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_855])]) ).

fof(f2371,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f164]) ).

fof(f16807,plain,
    ( spl3_854
    | ~ spl3_10
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2370,f2337,f157,f16805]) ).

fof(f16805,plain,
    ( spl3_854
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_854])]) ).

fof(f2370,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f159]) ).

fof(f159,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f16803,plain,
    ( spl3_853
    | ~ spl3_11
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2361,f2333,f162,f16801]) ).

fof(f16801,plain,
    ( spl3_853
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_853])]) ).

fof(f2361,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f164]) ).

fof(f16799,plain,
    ( spl3_852
    | ~ spl3_11
    | ~ spl3_220 ),
    inference(avatar_split_clause,[],[f3499,f3196,f162,f16796]) ).

fof(f16796,plain,
    ( spl3_852
  <=> sdtpldt0(sK0,sz10) = sdtpldt0(sdtpldt0(sK0,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_852])]) ).

fof(f3499,plain,
    ( sdtpldt0(sK0,sz10) = sdtpldt0(sdtpldt0(sK0,sz10),sz00)
    | ~ spl3_11
    | ~ spl3_220 ),
    inference(resolution,[],[f3197,f164]) ).

fof(f16794,plain,
    ( spl3_851
    | ~ spl3_10
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2360,f2333,f157,f16792]) ).

fof(f16792,plain,
    ( spl3_851
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_851])]) ).

fof(f2360,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f159]) ).

fof(f16790,plain,
    ( spl3_850
    | ~ spl3_11
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2351,f2329,f162,f16788]) ).

fof(f16788,plain,
    ( spl3_850
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_850])]) ).

fof(f2351,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f164]) ).

fof(f16786,plain,
    ( spl3_849
    | ~ spl3_10
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2350,f2329,f157,f16784]) ).

fof(f16784,plain,
    ( spl3_849
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_849])]) ).

fof(f2350,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f159]) ).

fof(f16782,plain,
    ( spl3_848
    | ~ spl3_11
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2341,f2320,f162,f16780]) ).

fof(f16780,plain,
    ( spl3_848
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_848])]) ).

fof(f2341,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f164]) ).

fof(f16778,plain,
    ( spl3_847
    | ~ spl3_10
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2340,f2320,f157,f16776]) ).

fof(f16776,plain,
    ( spl3_847
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_847])]) ).

fof(f2340,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f159]) ).

fof(f16774,plain,
    ( spl3_846
    | ~ spl3_22
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2078,f1999,f245,f16772]) ).

fof(f16772,plain,
    ( spl3_846
  <=> ! [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,[spl3_846])]) ).

fof(f2078,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) )
    | ~ spl3_22
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f246]) ).

fof(f16770,plain,
    ( spl3_845
    | ~ spl3_21
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2077,f1999,f241,f16768]) ).

fof(f16768,plain,
    ( spl3_845
  <=> ! [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,[spl3_845])]) ).

fof(f2077,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) )
    | ~ spl3_21
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f242]) ).

fof(f16766,plain,
    ( spl3_844
    | ~ spl3_22
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2062,f1995,f245,f16764]) ).

fof(f16764,plain,
    ( spl3_844
  <=> ! [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,[spl3_844])]) ).

fof(f2062,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) )
    | ~ spl3_22
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f246]) ).

fof(f16762,plain,
    ( spl3_843
    | ~ spl3_21
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2061,f1995,f241,f16760]) ).

fof(f16760,plain,
    ( spl3_843
  <=> ! [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,[spl3_843])]) ).

fof(f2061,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) )
    | ~ spl3_21
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f242]) ).

fof(f16758,plain,
    ( spl3_842
    | ~ spl3_22
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2052,f1991,f245,f16756]) ).

fof(f16756,plain,
    ( spl3_842
  <=> ! [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,[spl3_842])]) ).

fof(f2052,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) )
    | ~ spl3_22
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f246]) ).

fof(f16754,plain,
    ( spl3_841
    | ~ spl3_1
    | ~ spl3_218 ),
    inference(avatar_split_clause,[],[f3488,f3187,f112,f16751]) ).

fof(f16751,plain,
    ( spl3_841
  <=> sdtpldt0(sK1,sK1) = sdtpldt0(sz00,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_841])]) ).

fof(f3187,plain,
    ( spl3_218
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sz00,sdtpldt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_218])]) ).

fof(f3488,plain,
    ( sdtpldt0(sK1,sK1) = sdtpldt0(sz00,sdtpldt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_218 ),
    inference(resolution,[],[f3188,f114]) ).

fof(f3188,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sz00,sdtpldt0(sK1,X0)) )
    | ~ spl3_218 ),
    inference(avatar_component_clause,[],[f3187]) ).

fof(f16749,plain,
    ( spl3_840
    | ~ spl3_21
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2051,f1991,f241,f16747]) ).

fof(f16747,plain,
    ( spl3_840
  <=> ! [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,[spl3_840])]) ).

fof(f2051,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) )
    | ~ spl3_21
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f242]) ).

fof(f16745,plain,
    ( spl3_839
    | ~ spl3_22
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2042,f1987,f245,f16743]) ).

fof(f16743,plain,
    ( spl3_839
  <=> ! [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,[spl3_839])]) ).

fof(f2042,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) )
    | ~ spl3_22
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f246]) ).

fof(f16741,plain,
    ( spl3_838
    | ~ spl3_21
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2041,f1987,f241,f16739]) ).

fof(f16739,plain,
    ( spl3_838
  <=> ! [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,[spl3_838])]) ).

fof(f2041,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) )
    | ~ spl3_21
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f242]) ).

fof(f16737,plain,
    ( spl3_837
    | ~ spl3_22
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2032,f1983,f245,f16735]) ).

fof(f16735,plain,
    ( spl3_837
  <=> ! [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,[spl3_837])]) ).

fof(f2032,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) )
    | ~ spl3_22
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f246]) ).

fof(f16733,plain,
    ( spl3_836
    | ~ spl3_21
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2031,f1983,f241,f16731]) ).

fof(f16731,plain,
    ( spl3_836
  <=> ! [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,[spl3_836])]) ).

fof(f2031,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) )
    | ~ spl3_21
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f242]) ).

fof(f16729,plain,
    ( spl3_835
    | ~ spl3_22
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2022,f1979,f245,f16727]) ).

fof(f16727,plain,
    ( spl3_835
  <=> ! [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,[spl3_835])]) ).

fof(f2022,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) )
    | ~ spl3_22
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f246]) ).

fof(f16725,plain,
    ( spl3_834
    | ~ spl3_21
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2021,f1979,f241,f16723]) ).

fof(f16723,plain,
    ( spl3_834
  <=> ! [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,[spl3_834])]) ).

fof(f2021,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) )
    | ~ spl3_21
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f242]) ).

fof(f16679,plain,
    ( spl3_833
    | ~ spl3_9
    | ~ spl3_218 ),
    inference(avatar_split_clause,[],[f3486,f3187,f152,f16676]) ).

fof(f16676,plain,
    ( spl3_833
  <=> sdtpldt0(sK1,xn) = sdtpldt0(sz00,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_833])]) ).

fof(f3486,plain,
    ( sdtpldt0(sK1,xn) = sdtpldt0(sz00,sdtpldt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_218 ),
    inference(resolution,[],[f3188,f154]) ).

fof(f16536,plain,
    ( spl3_832
    | ~ spl3_9
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2376,f2337,f152,f16534]) ).

fof(f16534,plain,
    ( spl3_832
  <=> ! [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,[spl3_832])]) ).

fof(f2376,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) )
    | ~ spl3_9
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f154]) ).

fof(f16532,plain,
    ( spl3_831
    | ~ spl3_11
    | ~ spl3_218 ),
    inference(avatar_split_clause,[],[f3481,f3187,f162,f16529]) ).

fof(f16529,plain,
    ( spl3_831
  <=> sdtpldt0(sK1,sz10) = sdtpldt0(sz00,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_831])]) ).

fof(f3481,plain,
    ( sdtpldt0(sK1,sz10) = sdtpldt0(sz00,sdtpldt0(sK1,sz10))
    | ~ spl3_11
    | ~ spl3_218 ),
    inference(resolution,[],[f3188,f164]) ).

fof(f16527,plain,
    ( spl3_830
    | ~ spl3_8
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2375,f2337,f147,f16525]) ).

fof(f16525,plain,
    ( spl3_830
  <=> ! [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,[spl3_830])]) ).

fof(f2375,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) )
    | ~ spl3_8
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f149]) ).

fof(f16523,plain,
    ( spl3_829
    | ~ spl3_9
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2366,f2333,f152,f16521]) ).

fof(f16521,plain,
    ( spl3_829
  <=> ! [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,[spl3_829])]) ).

fof(f2366,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) )
    | ~ spl3_9
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f154]) ).

fof(f16519,plain,
    ( spl3_828
    | ~ spl3_8
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2365,f2333,f147,f16517]) ).

fof(f16517,plain,
    ( spl3_828
  <=> ! [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,[spl3_828])]) ).

fof(f2365,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) )
    | ~ spl3_8
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f149]) ).

fof(f16515,plain,
    ( spl3_827
    | ~ spl3_9
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2356,f2329,f152,f16513]) ).

fof(f16513,plain,
    ( spl3_827
  <=> ! [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,[spl3_827])]) ).

fof(f2356,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) )
    | ~ spl3_9
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f154]) ).

fof(f16511,plain,
    ( spl3_826
    | ~ spl3_8
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2355,f2329,f147,f16509]) ).

fof(f16509,plain,
    ( spl3_826
  <=> ! [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,[spl3_826])]) ).

fof(f2355,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) )
    | ~ spl3_8
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f149]) ).

fof(f16507,plain,
    ( spl3_825
    | ~ spl3_9
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2346,f2320,f152,f16505]) ).

fof(f16505,plain,
    ( spl3_825
  <=> ! [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,[spl3_825])]) ).

fof(f2346,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) )
    | ~ spl3_9
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f154]) ).

fof(f16503,plain,
    ( spl3_824
    | ~ spl3_8
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2345,f2320,f147,f16501]) ).

fof(f16501,plain,
    ( spl3_824
  <=> ! [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,[spl3_824])]) ).

fof(f2345,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) )
    | ~ spl3_8
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f149]) ).

fof(f16499,plain,
    ( spl3_823
    | ~ spl3_22
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1940,f1908,f245,f16497]) ).

fof(f16497,plain,
    ( spl3_823
  <=> ! [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,[spl3_823])]) ).

fof(f1940,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) )
    | ~ spl3_22
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f246]) ).

fof(f16495,plain,
    ( spl3_822
    | ~ spl3_21
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1939,f1908,f241,f16493]) ).

fof(f16493,plain,
    ( spl3_822
  <=> ! [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,[spl3_822])]) ).

fof(f1939,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) )
    | ~ spl3_21
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f242]) ).

fof(f16491,plain,
    ( spl3_821
    | ~ spl3_22
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1922,f1904,f245,f16489]) ).

fof(f16489,plain,
    ( spl3_821
  <=> ! [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,[spl3_821])]) ).

fof(f1922,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) )
    | ~ spl3_22
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f246]) ).

fof(f16487,plain,
    ( spl3_820
    | ~ spl3_1
    | ~ spl3_217 ),
    inference(avatar_split_clause,[],[f3472,f3183,f112,f16484]) ).

fof(f16484,plain,
    ( spl3_820
  <=> sdtpldt0(sK0,sK1) = sdtpldt0(sz00,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_820])]) ).

fof(f3183,plain,
    ( spl3_217
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sz00,sdtpldt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_217])]) ).

fof(f3472,plain,
    ( sdtpldt0(sK0,sK1) = sdtpldt0(sz00,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_217 ),
    inference(resolution,[],[f3184,f114]) ).

fof(f3184,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sz00,sdtpldt0(sK0,X0)) )
    | ~ spl3_217 ),
    inference(avatar_component_clause,[],[f3183]) ).

fof(f16482,plain,
    ( spl3_819
    | ~ spl3_21
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1921,f1904,f241,f16480]) ).

fof(f16480,plain,
    ( spl3_819
  <=> ! [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,[spl3_819])]) ).

fof(f1921,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) )
    | ~ spl3_21
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f242]) ).

fof(f16296,plain,
    ( spl3_818
    | ~ spl3_2
    | ~ spl3_217 ),
    inference(avatar_split_clause,[],[f3471,f3183,f117,f16293]) ).

fof(f16293,plain,
    ( spl3_818
  <=> sdtpldt0(sK0,sK0) = sdtpldt0(sz00,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_818])]) ).

fof(f3471,plain,
    ( sdtpldt0(sK0,sK0) = sdtpldt0(sz00,sdtpldt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_217 ),
    inference(resolution,[],[f3184,f119]) ).

fof(f16086,plain,
    ( spl3_817
    | ~ spl3_8
    | ~ spl3_217 ),
    inference(avatar_split_clause,[],[f3469,f3183,f147,f16083]) ).

fof(f16083,plain,
    ( spl3_817
  <=> sdtpldt0(sK0,xm) = sdtpldt0(sz00,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_817])]) ).

fof(f3469,plain,
    ( sdtpldt0(sK0,xm) = sdtpldt0(sz00,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_217 ),
    inference(resolution,[],[f3184,f149]) ).

fof(f16058,plain,
    ( spl3_816
    | ~ spl3_26
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1545,f1458,f276,f16056]) ).

fof(f16056,plain,
    ( spl3_816
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtasdt0(sdtasdt0(sK2(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_816])]) ).

fof(f1458,plain,
    ( spl3_125
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).

fof(f1545,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtasdt0(sdtasdt0(sK2(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f277]) ).

fof(f1459,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl3_125 ),
    inference(avatar_component_clause,[],[f1458]) ).

fof(f16054,plain,
    ( spl3_815
    | ~ spl3_27
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1540,f1458,f280,f16052]) ).

fof(f16052,plain,
    ( spl3_815
  <=> ! [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,[spl3_815])]) ).

fof(f1540,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) )
    | ~ spl3_27
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f281]) ).

fof(f16050,plain,
    ( spl3_814
    | ~ spl3_26
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1535,f1454,f276,f16048]) ).

fof(f16048,plain,
    ( spl3_814
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_814])]) ).

fof(f1454,plain,
    ( spl3_124
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).

fof(f1535,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f277]) ).

fof(f1455,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl3_124 ),
    inference(avatar_component_clause,[],[f1454]) ).

fof(f16046,plain,
    ( spl3_813
    | ~ spl3_27
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1530,f1454,f280,f16044]) ).

fof(f16044,plain,
    ( spl3_813
  <=> ! [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,[spl3_813])]) ).

fof(f1530,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) )
    | ~ spl3_27
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f281]) ).

fof(f16042,plain,
    ( spl3_812
    | ~ spl3_26
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1525,f1450,f276,f16040]) ).

fof(f16040,plain,
    ( spl3_812
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtpldt0(sdtasdt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_812])]) ).

fof(f1450,plain,
    ( spl3_123
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).

fof(f1525,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtpldt0(sdtasdt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f277]) ).

fof(f1451,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl3_123 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f16038,plain,
    ( spl3_811
    | ~ spl3_27
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1520,f1450,f280,f16036]) ).

fof(f16036,plain,
    ( spl3_811
  <=> ! [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,[spl3_811])]) ).

fof(f1520,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) )
    | ~ spl3_27
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f281]) ).

fof(f16034,plain,
    ( spl3_810
    | ~ spl3_26
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1510,f1446,f276,f16032]) ).

fof(f16032,plain,
    ( spl3_810
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_810])]) ).

fof(f1446,plain,
    ( spl3_122
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).

fof(f1510,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK2(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f277]) ).

fof(f1447,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl3_122 ),
    inference(avatar_component_clause,[],[f1446]) ).

fof(f16030,plain,
    ( spl3_809
    | ~ spl3_27
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1505,f1446,f280,f16028]) ).

fof(f16028,plain,
    ( spl3_809
  <=> ! [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,[spl3_809])]) ).

fof(f1505,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) )
    | ~ spl3_27
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f281]) ).

fof(f16026,plain,
    ( spl3_808
    | ~ spl3_26
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1500,f1442,f276,f16024]) ).

fof(f16024,plain,
    ( spl3_808
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtasdt0(sdtpldt0(sK2(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_808])]) ).

fof(f1442,plain,
    ( spl3_121
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).

fof(f1500,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtasdt0(sdtpldt0(sK2(X1,X2),X0),sz10)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f277]) ).

fof(f1443,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl3_121 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f16022,plain,
    ( spl3_807
    | ~ spl3_11
    | ~ spl3_217 ),
    inference(avatar_split_clause,[],[f3465,f3183,f162,f16019]) ).

fof(f16019,plain,
    ( spl3_807
  <=> sdtpldt0(sK0,sz10) = sdtpldt0(sz00,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_807])]) ).

fof(f3465,plain,
    ( sdtpldt0(sK0,sz10) = sdtpldt0(sz00,sdtpldt0(sK0,sz10))
    | ~ spl3_11
    | ~ spl3_217 ),
    inference(resolution,[],[f3184,f164]) ).

fof(f16017,plain,
    ( spl3_806
    | ~ spl3_27
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1495,f1442,f280,f16015]) ).

fof(f16015,plain,
    ( spl3_806
  <=> ! [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,[spl3_806])]) ).

fof(f1495,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) )
    | ~ spl3_27
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f281]) ).

fof(f16013,plain,
    ( spl3_805
    | ~ spl3_26
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1490,f1433,f276,f16011]) ).

fof(f16011,plain,
    ( spl3_805
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_805])]) ).

fof(f1433,plain,
    ( spl3_119
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).

fof(f1490,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f277]) ).

fof(f1434,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl3_119 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f16009,plain,
    ( spl3_804
    | ~ spl3_27
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1485,f1433,f280,f16007]) ).

fof(f16007,plain,
    ( spl3_804
  <=> ! [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,[spl3_804])]) ).

fof(f1485,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) )
    | ~ spl3_27
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f281]) ).

fof(f16005,plain,
    ( spl3_803
    | ~ spl3_26
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1480,f1429,f276,f16003]) ).

fof(f16003,plain,
    ( spl3_803
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtpldt0(sdtpldt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_803])]) ).

fof(f1429,plain,
    ( spl3_118
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).

fof(f1480,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtpldt0(sdtpldt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f277]) ).

fof(f1430,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl3_118 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f16001,plain,
    ( spl3_802
    | ~ spl3_27
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1475,f1429,f280,f15999]) ).

fof(f15999,plain,
    ( spl3_802
  <=> ! [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,[spl3_802])]) ).

fof(f1475,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) )
    | ~ spl3_27
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f281]) ).

fof(f15997,plain,
    ( spl3_801
    | ~ spl3_26
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1470,f1425,f276,f15995]) ).

fof(f15995,plain,
    ( spl3_801
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_801])]) ).

fof(f1425,plain,
    ( spl3_117
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).

fof(f1470,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK2(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f277]) ).

fof(f1426,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl3_117 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f15993,plain,
    ( spl3_800
    | ~ spl3_27
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1465,f1425,f280,f15991]) ).

fof(f15991,plain,
    ( spl3_800
  <=> ! [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,[spl3_800])]) ).

fof(f1465,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) )
    | ~ spl3_27
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f281]) ).

fof(f15989,plain,
    ( spl3_799
    | ~ spl3_26
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1362,f1284,f276,f15987]) ).

fof(f15987,plain,
    ( spl3_799
  <=> ! [X0,X1] :
        ( sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sdtmndt0(sK2(X0,X1),sK2(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_799])]) ).

fof(f1284,plain,
    ( spl3_111
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).

fof(f1362,plain,
    ( ! [X0,X1] :
        ( sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sdtmndt0(sK2(X0,X1),sK2(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f277]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
    | ~ spl3_111 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f15985,plain,
    ( spl3_798
    | ~ spl3_27
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1357,f1284,f280,f15983]) ).

fof(f15983,plain,
    ( spl3_798
  <=> ! [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,[spl3_798])]) ).

fof(f1357,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sdtmndt0(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f281]) ).

fof(f15981,plain,
    ( spl3_797
    | ~ spl3_26
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1352,f1280,f276,f15979]) ).

fof(f15979,plain,
    ( spl3_797
  <=> ! [X0,X1] :
        ( sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sK2(sK2(X0,X1),sK2(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_797])]) ).

fof(f1280,plain,
    ( spl3_110
  <=> ! [X0] :
        ( sdtpldt0(X0,sK2(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).

fof(f1352,plain,
    ( ! [X0,X1] :
        ( sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sK2(sK2(X0,X1),sK2(X0,X1)))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f277]) ).

fof(f1281,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK2(X0,X0)) = X0 )
    | ~ spl3_110 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f15977,plain,
    ( spl3_796
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_216 ),
    inference(avatar_split_clause,[],[f3457,f3179,f1190,f152,f15974]) ).

fof(f15974,plain,
    ( spl3_796
  <=> sdtpldt0(xn,xn) = sdtpldt0(sdtpldt0(xm,xn),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_796])]) ).

fof(f15972,plain,
    ( spl3_795
    | ~ spl3_27
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1347,f1280,f280,f15970]) ).

fof(f15970,plain,
    ( spl3_795
  <=> ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_795])]) ).

fof(f1347,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(X0,X1),sK2(sdtmndt0(X0,X1),sdtmndt0(X0,X1)))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f281]) ).

fof(f15789,plain,
    ( spl3_794
    | ~ spl3_8
    | ~ spl3_216 ),
    inference(avatar_split_clause,[],[f3448,f3179,f147,f15786]) ).

fof(f15786,plain,
    ( spl3_794
  <=> sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_794])]) ).

fof(f3448,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xm),sK1)
    | ~ spl3_8
    | ~ spl3_216 ),
    inference(resolution,[],[f3180,f149]) ).

fof(f15134,plain,
    ( spl3_793
    | ~ spl3_11
    | ~ spl3_216 ),
    inference(avatar_split_clause,[],[f3444,f3179,f162,f15131]) ).

fof(f15131,plain,
    ( spl3_793
  <=> sdtpldt0(sz10,xn) = sdtpldt0(sdtpldt0(sz10,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_793])]) ).

fof(f14934,plain,
    ( spl3_792
    | ~ spl3_13
    | ~ spl3_185 ),
    inference(avatar_split_clause,[],[f2436,f2398,f172,f14932]) ).

fof(f14932,plain,
    ( spl3_792
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_792])]) ).

fof(f2436,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_185 ),
    inference(duplicate_literal_removal,[],[f2429]) ).

fof(f2429,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_185 ),
    inference(resolution,[],[f2399,f173]) ).

fof(f14930,plain,
    ( spl3_791
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_214 ),
    inference(avatar_split_clause,[],[f3422,f3171,f1190,f152,f14927]) ).

fof(f14927,plain,
    ( spl3_791
  <=> sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xn,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_791])]) ).

fof(f3422,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xn,xn),sK0)
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_214 ),
    inference(forward_demodulation,[],[f3414,f1216]) ).

fof(f3414,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xn,xn),sK0)
    | ~ spl3_9
    | ~ spl3_214 ),
    inference(resolution,[],[f3172,f154]) ).

fof(f14925,plain,
    ( spl3_790
    | ~ spl3_13
    | ~ spl3_183 ),
    inference(avatar_split_clause,[],[f2426,f2389,f172,f14923]) ).

fof(f14923,plain,
    ( spl3_790
  <=> ! [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,[spl3_790])]) ).

fof(f2426,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(X2,X2)) = sdtpldt0(X1,sdtpldt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_183 ),
    inference(duplicate_literal_removal,[],[f2419]) ).

fof(f2419,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) )
    | ~ spl3_13
    | ~ spl3_183 ),
    inference(resolution,[],[f2390,f173]) ).

fof(f14921,plain,
    ( spl3_789
    | ~ spl3_13
    | ~ spl3_182 ),
    inference(avatar_split_clause,[],[f2418,f2385,f172,f14919]) ).

fof(f14919,plain,
    ( spl3_789
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_789])]) ).

fof(f2418,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_182 ),
    inference(duplicate_literal_removal,[],[f2411]) ).

fof(f2411,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sK2(X2,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_182 ),
    inference(resolution,[],[f2386,f173]) ).

fof(f14917,plain,
    ( spl3_788
    | ~ spl3_13
    | ~ spl3_181 ),
    inference(avatar_split_clause,[],[f2408,f2381,f172,f14915]) ).

fof(f14915,plain,
    ( spl3_788
  <=> ! [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,[spl3_788])]) ).

fof(f2408,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtmndt0(X2,X2)) = sdtasdt0(X1,sdtasdt0(X0,sdtmndt0(X2,X2)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_13
    | ~ spl3_181 ),
    inference(duplicate_literal_removal,[],[f2401]) ).

fof(f2401,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) )
    | ~ spl3_13
    | ~ spl3_181 ),
    inference(resolution,[],[f2382,f173]) ).

fof(f14913,plain,
    ( spl3_787
    | ~ spl3_11
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2310,f2276,f162,f14911]) ).

fof(f14911,plain,
    ( spl3_787
  <=> ! [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,[spl3_787])]) ).

fof(f2310,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f164]) ).

fof(f14909,plain,
    ( spl3_786
    | ~ spl3_10
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2309,f2276,f157,f14907]) ).

fof(f14907,plain,
    ( spl3_786
  <=> ! [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,[spl3_786])]) ).

fof(f2309,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f159]) ).

fof(f14905,plain,
    ( spl3_785
    | ~ spl3_11
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2300,f2272,f162,f14903]) ).

fof(f14903,plain,
    ( spl3_785
  <=> ! [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,[spl3_785])]) ).

fof(f2300,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f164]) ).

fof(f14901,plain,
    ( spl3_784
    | ~ spl3_10
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2299,f2272,f157,f14899]) ).

fof(f14899,plain,
    ( spl3_784
  <=> ! [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,[spl3_784])]) ).

fof(f2299,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f159]) ).

fof(f14897,plain,
    ( spl3_783
    | ~ spl3_11
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2290,f2268,f162,f14895]) ).

fof(f14895,plain,
    ( spl3_783
  <=> ! [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,[spl3_783])]) ).

fof(f2290,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f164]) ).

fof(f14893,plain,
    ( spl3_782
    | ~ spl3_10
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2289,f2268,f157,f14891]) ).

fof(f14891,plain,
    ( spl3_782
  <=> ! [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,[spl3_782])]) ).

fof(f2289,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f159]) ).

fof(f14889,plain,
    ( spl3_781
    | ~ spl3_11
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2280,f2264,f162,f14887]) ).

fof(f14887,plain,
    ( spl3_781
  <=> ! [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,[spl3_781])]) ).

fof(f2280,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_11
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f164]) ).

fof(f14885,plain,
    ( spl3_780
    | ~ spl3_8
    | ~ spl3_214 ),
    inference(avatar_split_clause,[],[f3413,f3171,f147,f14882]) ).

fof(f14882,plain,
    ( spl3_780
  <=> sdtpldt0(xm,xm) = sdtpldt0(sdtpldt0(xm,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_780])]) ).

fof(f14880,plain,
    ( spl3_779
    | ~ spl3_10
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2279,f2264,f157,f14878]) ).

fof(f14878,plain,
    ( spl3_779
  <=> ! [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,[spl3_779])]) ).

fof(f2279,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_10
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f159]) ).

fof(f14876,plain,
    ( spl3_778
    | ~ spl3_31
    | ~ spl3_150 ),
    inference(avatar_split_clause,[],[f1899,f1823,f337,f14874]) ).

fof(f14874,plain,
    ( spl3_778
  <=> ! [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,[spl3_778])]) ).

fof(f1823,plain,
    ( spl3_150
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_150])]) ).

fof(f1899,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_150 ),
    inference(duplicate_literal_removal,[],[f1894]) ).

fof(f1894,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) )
    | ~ spl3_31
    | ~ spl3_150 ),
    inference(resolution,[],[f1824,f338]) ).

fof(f1824,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl3_150 ),
    inference(avatar_component_clause,[],[f1823]) ).

fof(f14872,plain,
    ( spl3_777
    | ~ spl3_31
    | ~ spl3_149 ),
    inference(avatar_split_clause,[],[f1889,f1819,f337,f14870]) ).

fof(f14870,plain,
    ( spl3_777
  <=> ! [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,[spl3_777])]) ).

fof(f1819,plain,
    ( spl3_149
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_149])]) ).

fof(f1889,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_149 ),
    inference(duplicate_literal_removal,[],[f1884]) ).

fof(f1884,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) )
    | ~ spl3_31
    | ~ spl3_149 ),
    inference(resolution,[],[f1820,f338]) ).

fof(f1820,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl3_149 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f14868,plain,
    ( spl3_776
    | ~ spl3_31
    | ~ spl3_148 ),
    inference(avatar_split_clause,[],[f1879,f1815,f337,f14866]) ).

fof(f14866,plain,
    ( spl3_776
  <=> ! [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,[spl3_776])]) ).

fof(f1815,plain,
    ( spl3_148
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_148])]) ).

fof(f1879,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sz10,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_148 ),
    inference(duplicate_literal_removal,[],[f1874]) ).

fof(f1874,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) )
    | ~ spl3_31
    | ~ spl3_148 ),
    inference(resolution,[],[f1816,f338]) ).

fof(f1816,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
    | ~ spl3_148 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f14864,plain,
    ( spl3_775
    | ~ spl3_31
    | ~ spl3_147 ),
    inference(avatar_split_clause,[],[f1869,f1811,f337,f14862]) ).

fof(f14862,plain,
    ( spl3_775
  <=> ! [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,[spl3_775])]) ).

fof(f1811,plain,
    ( spl3_147
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_147])]) ).

fof(f1869,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X0,X1),X0) = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz10)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_147 ),
    inference(duplicate_literal_removal,[],[f1864]) ).

fof(f1864,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) )
    | ~ spl3_31
    | ~ spl3_147 ),
    inference(resolution,[],[f1812,f338]) ).

fof(f1812,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
    | ~ spl3_147 ),
    inference(avatar_component_clause,[],[f1811]) ).

fof(f14860,plain,
    ( spl3_774
    | ~ spl3_31
    | ~ spl3_146 ),
    inference(avatar_split_clause,[],[f1861,f1807,f337,f14858]) ).

fof(f14858,plain,
    ( spl3_774
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_774])]) ).

fof(f1807,plain,
    ( spl3_146
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sz00,sK2(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_146])]) ).

fof(f1861,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_146 ),
    inference(duplicate_literal_removal,[],[f1856]) ).

fof(f1856,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_146 ),
    inference(resolution,[],[f1808,f338]) ).

fof(f1808,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sz00,sK2(X0,X1)) )
    | ~ spl3_146 ),
    inference(avatar_component_clause,[],[f1807]) ).

fof(f14856,plain,
    ( spl3_773
    | ~ spl3_31
    | ~ spl3_145 ),
    inference(avatar_split_clause,[],[f1848,f1803,f337,f14854]) ).

fof(f14854,plain,
    ( spl3_773
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_773])]) ).

fof(f1803,plain,
    ( spl3_145
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_145])]) ).

fof(f1848,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_145 ),
    inference(duplicate_literal_removal,[],[f1843]) ).

fof(f1843,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtpldt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_145 ),
    inference(resolution,[],[f1804,f338]) ).

fof(f1804,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sz00) )
    | ~ spl3_145 ),
    inference(avatar_component_clause,[],[f1803]) ).

fof(f14852,plain,
    ( spl3_772
    | ~ spl3_31
    | ~ spl3_144 ),
    inference(avatar_split_clause,[],[f1840,f1799,f337,f14850]) ).

fof(f14850,plain,
    ( spl3_772
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_772])]) ).

fof(f1799,plain,
    ( spl3_144
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sz10,sK2(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_144])]) ).

fof(f1840,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_144 ),
    inference(duplicate_literal_removal,[],[f1835]) ).

fof(f1835,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_144 ),
    inference(resolution,[],[f1800,f338]) ).

fof(f1800,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sz10,sK2(X0,X1)) )
    | ~ spl3_144 ),
    inference(avatar_component_clause,[],[f1799]) ).

fof(f14848,plain,
    ( spl3_771
    | ~ spl3_31
    | ~ spl3_142 ),
    inference(avatar_split_clause,[],[f1832,f1790,f337,f14846]) ).

fof(f14846,plain,
    ( spl3_771
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_771])]) ).

fof(f1790,plain,
    ( spl3_142
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sK2(X0,X1),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_142])]) ).

fof(f1832,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_142 ),
    inference(duplicate_literal_removal,[],[f1827]) ).

fof(f1827,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sK2(X0,sdtpldt0(X0,X1)) = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_142 ),
    inference(resolution,[],[f1791,f338]) ).

fof(f1791,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sK2(X0,X1),sz10) )
    | ~ spl3_142 ),
    inference(avatar_component_clause,[],[f1790]) ).

fof(f14844,plain,
    ( spl3_770
    | ~ spl3_22
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1745,f1687,f245,f14842]) ).

fof(f14842,plain,
    ( spl3_770
  <=> ! [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,[spl3_770])]) ).

fof(f1745,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f246]) ).

fof(f14840,plain,
    ( spl3_769
    | ~ spl3_11
    | ~ spl3_214 ),
    inference(avatar_split_clause,[],[f3409,f3171,f162,f14837]) ).

fof(f14837,plain,
    ( spl3_769
  <=> sdtpldt0(sz10,xm) = sdtpldt0(sdtpldt0(sz10,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_769])]) ).

fof(f14835,plain,
    ( spl3_768
    | ~ spl3_21
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1744,f1687,f241,f14833]) ).

fof(f14833,plain,
    ( spl3_768
  <=> ! [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,[spl3_768])]) ).

fof(f1744,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f242]) ).

fof(f14831,plain,
    ( spl3_767
    | ~ spl3_22
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1729,f1683,f245,f14829]) ).

fof(f14829,plain,
    ( spl3_767
  <=> ! [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,[spl3_767])]) ).

fof(f1729,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f246]) ).

fof(f14827,plain,
    ( spl3_766
    | ~ spl3_21
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1728,f1683,f241,f14825]) ).

fof(f14825,plain,
    ( spl3_766
  <=> ! [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,[spl3_766])]) ).

fof(f1728,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f242]) ).

fof(f14823,plain,
    ( spl3_765
    | ~ spl3_22
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1713,f1679,f245,f14821]) ).

fof(f14821,plain,
    ( spl3_765
  <=> ! [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,[spl3_765])]) ).

fof(f1713,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f246]) ).

fof(f14819,plain,
    ( spl3_764
    | ~ spl3_21
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1712,f1679,f241,f14817]) ).

fof(f14817,plain,
    ( spl3_764
  <=> ! [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,[spl3_764])]) ).

fof(f1712,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f242]) ).

fof(f14815,plain,
    ( spl3_763
    | ~ spl3_22
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1697,f1670,f245,f14813]) ).

fof(f14813,plain,
    ( spl3_763
  <=> ! [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,[spl3_763])]) ).

fof(f1697,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f246]) ).

fof(f14811,plain,
    ( spl3_762
    | ~ spl3_21
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1696,f1670,f241,f14809]) ).

fof(f14809,plain,
    ( spl3_762
  <=> ! [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,[spl3_762])]) ).

fof(f1696,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f242]) ).

fof(f14527,plain,
    ( ~ spl3_1
    | ~ spl3_9
    | ~ spl3_8
    | spl3_761
    | ~ spl3_31
    | ~ spl3_63 ),
    inference(avatar_split_clause,[],[f813,f702,f337,f14524,f147,f152,f112]) ).

fof(f14524,plain,
    ( spl3_761
  <=> sdtlseqdt0(sK1,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_761])]) ).

fof(f813,plain,
    ( sdtlseqdt0(sK1,xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sK1)
    | ~ spl3_31
    | ~ spl3_63 ),
    inference(superposition,[],[f338,f704]) ).

fof(f14480,plain,
    ( spl3_760
    | ~ spl3_9
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2315,f2276,f152,f14478]) ).

fof(f14478,plain,
    ( spl3_760
  <=> ! [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,[spl3_760])]) ).

fof(f2315,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_9
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f154]) ).

fof(f14476,plain,
    ( spl3_759
    | ~ spl3_8
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2314,f2276,f147,f14474]) ).

fof(f14474,plain,
    ( spl3_759
  <=> ! [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,[spl3_759])]) ).

fof(f2314,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_8
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f149]) ).

fof(f14472,plain,
    ( spl3_758
    | ~ spl3_9
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2305,f2272,f152,f14470]) ).

fof(f14470,plain,
    ( spl3_758
  <=> ! [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,[spl3_758])]) ).

fof(f2305,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xn)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_9
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f154]) ).

fof(f14468,plain,
    ( spl3_757
    | ~ spl3_8
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2304,f2272,f147,f14466]) ).

fof(f14466,plain,
    ( spl3_757
  <=> ! [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,[spl3_757])]) ).

fof(f2304,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xm)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_8
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f149]) ).

fof(f14464,plain,
    ( spl3_756
    | ~ spl3_9
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2295,f2268,f152,f14462]) ).

fof(f14462,plain,
    ( spl3_756
  <=> ! [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,[spl3_756])]) ).

fof(f2295,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_9
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f154]) ).

fof(f14460,plain,
    ( spl3_755
    | ~ spl3_8
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2294,f2268,f147,f14458]) ).

fof(f14458,plain,
    ( spl3_755
  <=> ! [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,[spl3_755])]) ).

fof(f2294,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_8
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f149]) ).

fof(f14456,plain,
    ( spl3_754
    | ~ spl3_9
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2285,f2264,f152,f14454]) ).

fof(f14454,plain,
    ( spl3_754
  <=> ! [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,[spl3_754])]) ).

fof(f2285,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xn)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xn)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_9
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f154]) ).

fof(f14378,plain,
    ( spl3_753
    | ~ spl3_8
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2284,f2264,f147,f14376]) ).

fof(f14376,plain,
    ( spl3_753
  <=> ! [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,[spl3_753])]) ).

fof(f2284,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xm)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xm)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_8
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f149]) ).

fof(f14374,plain,
    ( spl3_752
    | ~ spl3_22
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1660,f1616,f245,f14372]) ).

fof(f14372,plain,
    ( spl3_752
  <=> ! [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,[spl3_752])]) ).

fof(f1660,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f246]) ).

fof(f14370,plain,
    ( spl3_751
    | ~ spl3_21
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1659,f1616,f241,f14368]) ).

fof(f14368,plain,
    ( spl3_751
  <=> ! [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,[spl3_751])]) ).

fof(f1659,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f242]) ).

fof(f14366,plain,
    ( spl3_750
    | ~ spl3_22
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1647,f1612,f245,f14364]) ).

fof(f14364,plain,
    ( spl3_750
  <=> ! [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,[spl3_750])]) ).

fof(f1647,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f246]) ).

fof(f14362,plain,
    ( spl3_749
    | ~ spl3_21
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1646,f1612,f241,f14360]) ).

fof(f14360,plain,
    ( spl3_749
  <=> ! [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,[spl3_749])]) ).

fof(f1646,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xm) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f242]) ).

fof(f14358,plain,
    ( spl3_748
    | ~ spl3_22
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1635,f1608,f245,f14356]) ).

fof(f14356,plain,
    ( spl3_748
  <=> ! [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,[spl3_748])]) ).

fof(f1635,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f246]) ).

fof(f14354,plain,
    ( spl3_747
    | ~ spl3_21
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1634,f1608,f241,f14352]) ).

fof(f14352,plain,
    ( spl3_747
  <=> ! [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,[spl3_747])]) ).

fof(f1634,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xn) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xn))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f242]) ).

fof(f14350,plain,
    ( spl3_746
    | ~ spl3_22
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1622,f1604,f245,f14348]) ).

fof(f14348,plain,
    ( spl3_746
  <=> ! [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,[spl3_746])]) ).

fof(f1622,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f246]) ).

fof(f14346,plain,
    ( spl3_745
    | ~ spl3_21
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1621,f1604,f241,f14344]) ).

fof(f14344,plain,
    ( spl3_745
  <=> ! [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,[spl3_745])]) ).

fof(f1621,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xm) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f242]) ).

fof(f14328,plain,
    ( ~ spl3_2
    | ~ spl3_8
    | ~ spl3_9
    | spl3_744
    | ~ spl3_31
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f758,f644,f337,f14325,f152,f147,f117]) ).

fof(f14325,plain,
    ( spl3_744
  <=> sdtlseqdt0(sK0,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_744])]) ).

fof(f758,plain,
    ( sdtlseqdt0(sK0,xm)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_31
    | ~ spl3_57 ),
    inference(superposition,[],[f338,f646]) ).

fof(f14051,plain,
    ( spl3_743
    | ~ spl3_22
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1539,f1458,f245,f14049]) ).

fof(f14049,plain,
    ( spl3_743
  <=> ! [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,[spl3_743])]) ).

fof(f1539,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f246]) ).

fof(f14041,plain,
    ( spl3_742
    | ~ spl3_21
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1538,f1458,f241,f14039]) ).

fof(f14039,plain,
    ( spl3_742
  <=> ! [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,[spl3_742])]) ).

fof(f1538,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f242]) ).

fof(f14037,plain,
    ( spl3_741
    | ~ spl3_22
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1529,f1454,f245,f14035]) ).

fof(f14035,plain,
    ( spl3_741
  <=> ! [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,[spl3_741])]) ).

fof(f1529,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f246]) ).

fof(f14033,plain,
    ( spl3_740
    | ~ spl3_21
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1528,f1454,f241,f14031]) ).

fof(f14031,plain,
    ( spl3_740
  <=> ! [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,[spl3_740])]) ).

fof(f1528,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f242]) ).

fof(f14029,plain,
    ( spl3_739
    | ~ spl3_22
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1519,f1450,f245,f14027]) ).

fof(f14027,plain,
    ( spl3_739
  <=> ! [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,[spl3_739])]) ).

fof(f1519,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f246]) ).

fof(f14025,plain,
    ( spl3_738
    | ~ spl3_21
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1518,f1450,f241,f14023]) ).

fof(f14023,plain,
    ( spl3_738
  <=> ! [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,[spl3_738])]) ).

fof(f1518,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f242]) ).

fof(f14021,plain,
    ( spl3_737
    | ~ spl3_22
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1504,f1446,f245,f14019]) ).

fof(f14019,plain,
    ( spl3_737
  <=> ! [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,[spl3_737])]) ).

fof(f1504,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f246]) ).

fof(f14017,plain,
    ( spl3_736
    | ~ spl3_21
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1503,f1446,f241,f14015]) ).

fof(f14015,plain,
    ( spl3_736
  <=> ! [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,[spl3_736])]) ).

fof(f1503,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f242]) ).

fof(f14013,plain,
    ( spl3_735
    | ~ spl3_22
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1494,f1442,f245,f14011]) ).

fof(f14011,plain,
    ( spl3_735
  <=> ! [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,[spl3_735])]) ).

fof(f1494,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f246]) ).

fof(f14009,plain,
    ( spl3_734
    | ~ spl3_21
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1493,f1442,f241,f14007]) ).

fof(f14007,plain,
    ( spl3_734
  <=> ! [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,[spl3_734])]) ).

fof(f1493,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f242]) ).

fof(f14005,plain,
    ( spl3_733
    | ~ spl3_22
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1484,f1433,f245,f14003]) ).

fof(f14003,plain,
    ( spl3_733
  <=> ! [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,[spl3_733])]) ).

fof(f1484,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f246]) ).

fof(f13995,plain,
    ( spl3_732
    | ~ spl3_21
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1483,f1433,f241,f13993]) ).

fof(f13993,plain,
    ( spl3_732
  <=> ! [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,[spl3_732])]) ).

fof(f1483,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f242]) ).

fof(f13991,plain,
    ( spl3_731
    | ~ spl3_22
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1474,f1429,f245,f13989]) ).

fof(f13989,plain,
    ( spl3_731
  <=> ! [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,[spl3_731])]) ).

fof(f1474,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f246]) ).

fof(f13987,plain,
    ( spl3_730
    | ~ spl3_21
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1473,f1429,f241,f13985]) ).

fof(f13985,plain,
    ( spl3_730
  <=> ! [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,[spl3_730])]) ).

fof(f1473,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f242]) ).

fof(f13983,plain,
    ( spl3_729
    | ~ spl3_22
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1464,f1425,f245,f13981]) ).

fof(f13981,plain,
    ( spl3_729
  <=> ! [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,[spl3_729])]) ).

fof(f1464,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f246]) ).

fof(f13979,plain,
    ( spl3_728
    | ~ spl3_21
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1463,f1425,f241,f13977]) ).

fof(f13977,plain,
    ( spl3_728
  <=> ! [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,[spl3_728])]) ).

fof(f1463,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f242]) ).

fof(f13975,plain,
    ( spl3_727
    | ~ spl3_22
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1356,f1284,f245,f13973]) ).

fof(f13973,plain,
    ( spl3_727
  <=> ! [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,[spl3_727])]) ).

fof(f1356,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f246]) ).

fof(f13971,plain,
    ( spl3_726
    | ~ spl3_21
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1355,f1284,f241,f13969]) ).

fof(f13969,plain,
    ( spl3_726
  <=> ! [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,[spl3_726])]) ).

fof(f1355,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f242]) ).

fof(f13967,plain,
    ( spl3_725
    | ~ spl3_22
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1346,f1280,f245,f13965]) ).

fof(f13965,plain,
    ( spl3_725
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK2(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_725])]) ).

fof(f1346,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sK2(sdtasdt0(X0,X1),sdtasdt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f246]) ).

fof(f13963,plain,
    ( spl3_724
    | ~ spl3_21
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1345,f1280,f241,f13961]) ).

fof(f13961,plain,
    ( spl3_724
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_724])]) ).

fof(f1345,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f242]) ).

fof(f13632,plain,
    ( spl3_723
    | ~ spl3_26
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1423,f1381,f276,f13630]) ).

fof(f13630,plain,
    ( spl3_723
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_723])]) ).

fof(f1381,plain,
    ( spl3_116
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).

fof(f1423,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f277]) ).

fof(f1382,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl3_116 ),
    inference(avatar_component_clause,[],[f1381]) ).

fof(f13628,plain,
    ( spl3_722
    | ~ spl3_27
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1418,f1381,f280,f13626]) ).

fof(f13626,plain,
    ( spl3_722
  <=> ! [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,[spl3_722])]) ).

fof(f1418,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f281]) ).

fof(f13624,plain,
    ( spl3_721
    | ~ spl3_26
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1413,f1377,f276,f13622]) ).

fof(f13622,plain,
    ( spl3_721
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_721])]) ).

fof(f1377,plain,
    ( spl3_115
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).

fof(f1413,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f277]) ).

fof(f1378,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl3_115 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f13620,plain,
    ( spl3_720
    | ~ spl3_27
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1408,f1377,f280,f13618]) ).

fof(f13618,plain,
    ( spl3_720
  <=> ! [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,[spl3_720])]) ).

fof(f1408,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f281]) ).

fof(f13616,plain,
    ( spl3_719
    | ~ spl3_26
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1403,f1373,f276,f13614]) ).

fof(f13614,plain,
    ( spl3_719
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_719])]) ).

fof(f1373,plain,
    ( spl3_114
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).

fof(f1403,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK2(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f277]) ).

fof(f1374,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl3_114 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f13600,plain,
    ( spl3_718
    | ~ spl3_27
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1398,f1373,f280,f13598]) ).

fof(f13598,plain,
    ( spl3_718
  <=> ! [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,[spl3_718])]) ).

fof(f1398,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f281]) ).

fof(f13596,plain,
    ( spl3_717
    | ~ spl3_26
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1393,f1364,f276,f13594]) ).

fof(f13594,plain,
    ( spl3_717
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_717])]) ).

fof(f1364,plain,
    ( spl3_112
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).

fof(f1393,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X1,X2),X0))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f277]) ).

fof(f1365,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl3_112 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f13592,plain,
    ( spl3_716
    | ~ spl3_27
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1388,f1364,f280,f13590]) ).

fof(f13590,plain,
    ( spl3_716
  <=> ! [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,[spl3_716])]) ).

fof(f1388,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f281]) ).

fof(f13588,plain,
    ( spl3_715
    | ~ spl3_26
    | ~ spl3_109 ),
    inference(avatar_split_clause,[],[f1337,f1276,f276,f13586]) ).

fof(f13586,plain,
    ( spl3_715
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sz10) = sdtasdt0(sz10,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_715])]) ).

fof(f1276,plain,
    ( spl3_109
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).

fof(f1337,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sz10) = sdtasdt0(sz10,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_109 ),
    inference(resolution,[],[f1277,f277]) ).

fof(f1277,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
    | ~ spl3_109 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f13584,plain,
    ( spl3_714
    | ~ spl3_27
    | ~ spl3_109 ),
    inference(avatar_split_clause,[],[f1332,f1276,f280,f13582]) ).

fof(f13582,plain,
    ( spl3_714
  <=> ! [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,[spl3_714])]) ).

fof(f1332,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz10) = sdtasdt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_109 ),
    inference(resolution,[],[f1277,f281]) ).

fof(f13580,plain,
    ( spl3_713
    | ~ spl3_26
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f1322,f1267,f276,f13578]) ).

fof(f13578,plain,
    ( spl3_713
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sz00) = sdtasdt0(sz00,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_713])]) ).

fof(f1267,plain,
    ( spl3_107
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f1322,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sz00) = sdtasdt0(sz00,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_107 ),
    inference(resolution,[],[f1268,f277]) ).

fof(f1268,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
    | ~ spl3_107 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f13576,plain,
    ( spl3_712
    | ~ spl3_27
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f1317,f1267,f280,f13574]) ).

fof(f13574,plain,
    ( spl3_712
  <=> ! [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,[spl3_712])]) ).

fof(f1317,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sz00) = sdtasdt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_107 ),
    inference(resolution,[],[f1268,f281]) ).

fof(f13572,plain,
    ( spl3_711
    | ~ spl3_26
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f1311,f1263,f276,f13570]) ).

fof(f13570,plain,
    ( spl3_711
  <=> ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sz10) = sdtpldt0(sz10,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_711])]) ).

fof(f1311,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sz10) = sdtpldt0(sz10,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_106 ),
    inference(resolution,[],[f1264,f277]) ).

fof(f13568,plain,
    ( spl3_710
    | ~ spl3_27
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f1306,f1263,f280,f13566]) ).

fof(f13566,plain,
    ( spl3_710
  <=> ! [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,[spl3_710])]) ).

fof(f1306,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz10) = sdtpldt0(sz10,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_106 ),
    inference(resolution,[],[f1264,f281]) ).

fof(f13564,plain,
    ( spl3_709
    | ~ spl3_26
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f1296,f1259,f276,f13562]) ).

fof(f13562,plain,
    ( spl3_709
  <=> ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sz00) = sdtpldt0(sz00,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_709])]) ).

fof(f1259,plain,
    ( spl3_105
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f1296,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sz00) = sdtpldt0(sz00,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_105 ),
    inference(resolution,[],[f1260,f277]) ).

fof(f1260,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
    | ~ spl3_105 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f13548,plain,
    ( spl3_708
    | ~ spl3_27
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f1291,f1259,f280,f13546]) ).

fof(f13546,plain,
    ( spl3_708
  <=> ! [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,[spl3_708])]) ).

fof(f1291,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sz00) = sdtpldt0(sz00,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_105 ),
    inference(resolution,[],[f1260,f281]) ).

fof(f13400,plain,
    ( spl3_707
    | ~ spl3_26
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f1255,f1207,f276,f13398]) ).

fof(f13398,plain,
    ( spl3_707
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),xn) = sdtasdt0(xn,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_707])]) ).

fof(f1207,plain,
    ( spl3_104
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f1255,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),xn) = sdtasdt0(xn,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_104 ),
    inference(resolution,[],[f1208,f277]) ).

fof(f1208,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
    | ~ spl3_104 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f13387,plain,
    ( spl3_706
    | ~ spl3_27
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f1250,f1207,f280,f13385]) ).

fof(f13385,plain,
    ( spl3_706
  <=> ! [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,[spl3_706])]) ).

fof(f1250,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xn) = sdtasdt0(xn,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_104 ),
    inference(resolution,[],[f1208,f281]) ).

fof(f13383,plain,
    ( spl3_705
    | ~ spl3_26
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1243,f1203,f276,f13381]) ).

fof(f13381,plain,
    ( spl3_705
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),xm) = sdtasdt0(xm,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_705])]) ).

fof(f1243,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),xm) = sdtasdt0(xm,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_103 ),
    inference(resolution,[],[f1204,f277]) ).

fof(f13379,plain,
    ( spl3_704
    | ~ spl3_27
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1238,f1203,f280,f13377]) ).

fof(f13377,plain,
    ( spl3_704
  <=> ! [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,[spl3_704])]) ).

fof(f1238,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),xm) = sdtasdt0(xm,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_103 ),
    inference(resolution,[],[f1204,f281]) ).

fof(f13375,plain,
    ( spl3_703
    | ~ spl3_26
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f1231,f1199,f276,f13373]) ).

fof(f13373,plain,
    ( spl3_703
  <=> ! [X0,X1] :
        ( sdtpldt0(xn,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_703])]) ).

fof(f1231,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xn,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),xn)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_102 ),
    inference(resolution,[],[f1200,f277]) ).

fof(f13371,plain,
    ( spl3_702
    | ~ spl3_27
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f1226,f1199,f280,f13369]) ).

fof(f13369,plain,
    ( spl3_702
  <=> ! [X0,X1] :
        ( sdtpldt0(xn,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xn)
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_702])]) ).

fof(f1226,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xn,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xn)
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_102 ),
    inference(resolution,[],[f1200,f281]) ).

fof(f13367,plain,
    ( spl3_701
    | ~ spl3_26
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1219,f1190,f276,f13365]) ).

fof(f13365,plain,
    ( spl3_701
  <=> ! [X0,X1] :
        ( sdtpldt0(xm,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),xm)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_701])]) ).

fof(f1219,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xm,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),xm)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f277]) ).

fof(f13363,plain,
    ( spl3_700
    | ~ spl3_27
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1214,f1190,f280,f13361]) ).

fof(f13361,plain,
    ( spl3_700
  <=> ! [X0,X1] :
        ( sdtpldt0(xm,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xm)
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_700])]) ).

fof(f1214,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xm,sdtmndt0(X0,X1)) = sdtpldt0(sdtmndt0(X0,X1),xm)
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f281]) ).

fof(f13038,plain,
    ( spl3_699
    | ~ spl3_31
    | ~ spl3_130 ),
    inference(avatar_split_clause,[],[f1599,f1559,f337,f13036]) ).

fof(f13036,plain,
    ( spl3_699
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_699])]) ).

fof(f1559,plain,
    ( spl3_130
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).

fof(f1599,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_130 ),
    inference(duplicate_literal_removal,[],[f1594]) ).

fof(f1594,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) )
    | ~ spl3_31
    | ~ spl3_130 ),
    inference(resolution,[],[f1560,f338]) ).

fof(f1560,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl3_130 ),
    inference(avatar_component_clause,[],[f1559]) ).

fof(f13034,plain,
    ( spl3_698
    | ~ spl3_31
    | ~ spl3_129 ),
    inference(avatar_split_clause,[],[f1584,f1555,f337,f13032]) ).

fof(f13032,plain,
    ( spl3_698
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_698])]) ).

fof(f1555,plain,
    ( spl3_129
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).

fof(f1584,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(sdtpldt0(X0,X1),X0),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_129 ),
    inference(duplicate_literal_removal,[],[f1579]) ).

fof(f1579,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) )
    | ~ spl3_31
    | ~ spl3_129 ),
    inference(resolution,[],[f1556,f338]) ).

fof(f1556,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl3_129 ),
    inference(avatar_component_clause,[],[f1555]) ).

fof(f13030,plain,
    ( spl3_697
    | ~ spl3_31
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1576,f1551,f337,f13028]) ).

fof(f13028,plain,
    ( spl3_697
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_697])]) ).

fof(f1576,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_128 ),
    inference(duplicate_literal_removal,[],[f1571]) ).

fof(f1571,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f338]) ).

fof(f13026,plain,
    ( spl3_696
    | ~ spl3_31
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1568,f1547,f337,f13024]) ).

fof(f13024,plain,
    ( spl3_696
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_696])]) ).

fof(f1568,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_127 ),
    inference(duplicate_literal_removal,[],[f1563]) ).

fof(f1563,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,sdtpldt0(X0,X1)),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f338]) ).

fof(f13016,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_9
    | spl3_695
    | ~ spl3_40
    | ~ spl3_87 ),
    inference(avatar_split_clause,[],[f1047,f972,f420,f13014,f152,f167,f162]) ).

fof(f167,plain,
    ( spl3_12
  <=> sz00 = sz10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f13014,plain,
    ( spl3_695
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_695])]) ).

fof(f420,plain,
    ( spl3_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,[spl3_40])]) ).

fof(f1047,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != xn
        | xn = X0
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_40
    | ~ spl3_87 ),
    inference(superposition,[],[f421,f974]) ).

fof(f421,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_40 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f13010,plain,
    ( ~ spl3_9
    | spl3_58
    | ~ spl3_11
    | spl3_694
    | ~ spl3_41
    | ~ spl3_87 ),
    inference(avatar_split_clause,[],[f1045,f972,f424,f13008,f162,f661,f152]) ).

fof(f661,plain,
    ( spl3_58
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f13008,plain,
    ( spl3_694
  <=> ! [X0] :
        ( xn != sdtasdt0(X0,xn)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_694])]) ).

fof(f424,plain,
    ( spl3_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,[spl3_41])]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(X0,xn)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = xn
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_41
    | ~ spl3_87 ),
    inference(superposition,[],[f425,f974]) ).

fof(f425,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_41 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f12989,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_8
    | spl3_693
    | ~ spl3_40
    | ~ spl3_86 ),
    inference(avatar_split_clause,[],[f1036,f967,f420,f12987,f147,f167,f162]) ).

fof(f12987,plain,
    ( spl3_693
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_693])]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != xm
        | xm = X0
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_40
    | ~ spl3_86 ),
    inference(superposition,[],[f421,f969]) ).

fof(f12982,plain,
    ( ~ spl3_8
    | spl3_59
    | ~ spl3_11
    | spl3_692
    | ~ spl3_41
    | ~ spl3_86 ),
    inference(avatar_split_clause,[],[f1034,f967,f424,f12980,f162,f666,f147]) ).

fof(f666,plain,
    ( spl3_59
  <=> sz00 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).

fof(f12980,plain,
    ( spl3_692
  <=> ! [X0] :
        ( xm != sdtasdt0(X0,xm)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_692])]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( xm != sdtasdt0(X0,xm)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_41
    | ~ spl3_86 ),
    inference(superposition,[],[f425,f969]) ).

fof(f12973,plain,
    ( ~ spl3_9
    | spl3_58
    | ~ spl3_11
    | spl3_691
    | ~ spl3_40
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f1030,f962,f420,f12971,f162,f661,f152]) ).

fof(f12971,plain,
    ( spl3_691
  <=> ! [X0] :
        ( xn != sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_691])]) ).

fof(f1030,plain,
    ( ! [X0] :
        ( xn != sdtasdt0(xn,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = xn
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_40
    | ~ spl3_85 ),
    inference(superposition,[],[f421,f964]) ).

fof(f12963,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_9
    | spl3_690
    | ~ spl3_41
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f1028,f962,f424,f12961,f152,f167,f162]) ).

fof(f12961,plain,
    ( spl3_690
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_690])]) ).

fof(f1028,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != xn
        | xn = X0
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_41
    | ~ spl3_85 ),
    inference(superposition,[],[f425,f964]) ).

fof(f12955,plain,
    ( ~ spl3_8
    | spl3_59
    | ~ spl3_11
    | spl3_689
    | ~ spl3_40
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f1024,f957,f420,f12953,f162,f666,f147]) ).

fof(f12953,plain,
    ( spl3_689
  <=> ! [X0] :
        ( xm != sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_689])]) ).

fof(f1024,plain,
    ( ! [X0] :
        ( xm != sdtasdt0(xm,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = xm
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_40
    | ~ spl3_84 ),
    inference(superposition,[],[f421,f959]) ).

fof(f12945,plain,
    ( spl3_688
    | ~ spl3_1
    | ~ spl3_502 ),
    inference(avatar_split_clause,[],[f8893,f8670,f112,f12942]) ).

fof(f12942,plain,
    ( spl3_688
  <=> sz00 = sdtasdt0(sz00,sK2(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_688])]) ).

fof(f8670,plain,
    ( spl3_502
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_502])]) ).

fof(f8893,plain,
    ( sz00 = sdtasdt0(sz00,sK2(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_502 ),
    inference(resolution,[],[f8671,f114]) ).

fof(f8671,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X0)) )
    | ~ spl3_502 ),
    inference(avatar_component_clause,[],[f8670]) ).

fof(f12940,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_8
    | spl3_687
    | ~ spl3_41
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f1022,f957,f424,f12938,f147,f167,f162]) ).

fof(f12938,plain,
    ( spl3_687
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_687])]) ).

fof(f1022,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != xm
        | xm = X0
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_41
    | ~ spl3_84 ),
    inference(superposition,[],[f425,f959]) ).

fof(f12785,plain,
    ( spl3_686
    | ~ spl3_2
    | ~ spl3_502 ),
    inference(avatar_split_clause,[],[f8892,f8670,f117,f12782]) ).

fof(f12782,plain,
    ( spl3_686
  <=> sz00 = sdtasdt0(sz00,sK2(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_686])]) ).

fof(f8892,plain,
    ( sz00 = sdtasdt0(sz00,sK2(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_502 ),
    inference(resolution,[],[f8671,f119]) ).

fof(f12602,plain,
    ( spl3_685
    | ~ spl3_1
    | ~ spl3_501 ),
    inference(avatar_split_clause,[],[f8879,f8666,f112,f12599]) ).

fof(f12599,plain,
    ( spl3_685
  <=> sz00 = sdtasdt0(sK2(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_685])]) ).

fof(f8666,plain,
    ( spl3_501
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_501])]) ).

fof(f8879,plain,
    ( sz00 = sdtasdt0(sK2(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_501 ),
    inference(resolution,[],[f8667,f114]) ).

fof(f8667,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X0),sz00) )
    | ~ spl3_501 ),
    inference(avatar_component_clause,[],[f8666]) ).

fof(f12457,plain,
    ( spl3_684
    | ~ spl3_2
    | ~ spl3_501 ),
    inference(avatar_split_clause,[],[f8878,f8666,f117,f12454]) ).

fof(f12454,plain,
    ( spl3_684
  <=> sz00 = sdtasdt0(sK2(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_684])]) ).

fof(f8878,plain,
    ( sz00 = sdtasdt0(sK2(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_501 ),
    inference(resolution,[],[f8667,f119]) ).

fof(f12424,plain,
    ( spl3_683
    | ~ spl3_13
    | ~ spl3_170 ),
    inference(avatar_split_clause,[],[f2260,f2219,f172,f12422]) ).

fof(f12422,plain,
    ( spl3_683
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_683])]) ).

fof(f2260,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_13
    | ~ spl3_170 ),
    inference(duplicate_literal_removal,[],[f2253]) ).

fof(f2253,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtmndt0(X0,X0)) = sdtasdt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_170 ),
    inference(resolution,[],[f2220,f173]) ).

fof(f12420,plain,
    ( spl3_682
    | ~ spl3_13
    | ~ spl3_169 ),
    inference(avatar_split_clause,[],[f2245,f2215,f172,f12418]) ).

fof(f12418,plain,
    ( spl3_682
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_682])]) ).

fof(f2245,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_13
    | ~ spl3_169 ),
    inference(duplicate_literal_removal,[],[f2238]) ).

fof(f2238,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sdtmndt0(X0,X0)) = sdtpldt0(sdtmndt0(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_169 ),
    inference(resolution,[],[f2216,f173]) ).

fof(f12416,plain,
    ( spl3_681
    | ~ spl3_13
    | ~ spl3_168 ),
    inference(avatar_split_clause,[],[f2237,f2211,f172,f12414]) ).

fof(f12414,plain,
    ( spl3_681
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK2(X0,X0)) = sdtasdt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_681])]) ).

fof(f2237,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK2(X0,X0)) = sdtasdt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_13
    | ~ spl3_168 ),
    inference(duplicate_literal_removal,[],[f2230]) ).

fof(f2230,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sK2(X0,X0)) = sdtasdt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_168 ),
    inference(resolution,[],[f2212,f173]) ).

fof(f12412,plain,
    ( spl3_680
    | ~ spl3_13
    | ~ spl3_167 ),
    inference(avatar_split_clause,[],[f2229,f2207,f172,f12410]) ).

fof(f12410,plain,
    ( spl3_680
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK2(X0,X0)) = sdtpldt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_680])]) ).

fof(f2229,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK2(X0,X0)) = sdtpldt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_13
    | ~ spl3_167 ),
    inference(duplicate_literal_removal,[],[f2222]) ).

fof(f2222,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X1,sK2(X0,X0)) = sdtpldt0(sK2(X0,X0),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_167 ),
    inference(resolution,[],[f2208,f173]) ).

fof(f12408,plain,
    ( spl3_679
    | ~ spl3_21
    | ~ spl3_166 ),
    inference(avatar_split_clause,[],[f2205,f2135,f241,f12406]) ).

fof(f12406,plain,
    ( spl3_679
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_679])]) ).

fof(f2135,plain,
    ( spl3_166
  <=> ! [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,[spl3_166])]) ).

fof(f2205,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_166 ),
    inference(duplicate_literal_removal,[],[f2172]) ).

fof(f2172,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_166 ),
    inference(resolution,[],[f2136,f242]) ).

fof(f2136,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_166 ),
    inference(avatar_component_clause,[],[f2135]) ).

fof(f12404,plain,
    ( spl3_678
    | ~ spl3_21
    | ~ spl3_165 ),
    inference(avatar_split_clause,[],[f2171,f2121,f241,f12402]) ).

fof(f12402,plain,
    ( spl3_678
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_678])]) ).

fof(f2121,plain,
    ( spl3_165
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_165])]) ).

fof(f2171,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_165 ),
    inference(duplicate_literal_removal,[],[f2138]) ).

fof(f2138,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_165 ),
    inference(resolution,[],[f2122,f242]) ).

fof(f2122,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_165 ),
    inference(avatar_component_clause,[],[f2121]) ).

fof(f12400,plain,
    ( spl3_677
    | ~ spl3_11
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2076,f1999,f162,f12398]) ).

fof(f2076,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f164]) ).

fof(f12396,plain,
    ( spl3_676
    | ~ spl3_11
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2050,f1991,f162,f12394]) ).

fof(f12394,plain,
    ( spl3_676
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_676])]) ).

fof(f2050,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f164]) ).

fof(f12382,plain,
    ( spl3_675
    | ~ spl3_10
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2049,f1991,f157,f12380]) ).

fof(f12380,plain,
    ( spl3_675
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_675])]) ).

fof(f2049,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f159]) ).

fof(f12378,plain,
    ( spl3_674
    | ~ spl3_11
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2040,f1987,f162,f12376]) ).

fof(f12376,plain,
    ( spl3_674
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_674])]) ).

fof(f2040,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f164]) ).

fof(f12374,plain,
    ( spl3_673
    | ~ spl3_10
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2039,f1987,f157,f12372]) ).

fof(f12372,plain,
    ( spl3_673
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_673])]) ).

fof(f2039,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f159]) ).

fof(f12370,plain,
    ( spl3_672
    | ~ spl3_11
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2030,f1983,f162,f12368]) ).

fof(f12368,plain,
    ( spl3_672
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_672])]) ).

fof(f2030,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f164]) ).

fof(f12366,plain,
    ( spl3_671
    | ~ spl3_10
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2029,f1983,f157,f12364]) ).

fof(f12364,plain,
    ( spl3_671
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_671])]) ).

fof(f2029,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f159]) ).

fof(f12362,plain,
    ( spl3_670
    | ~ spl3_11
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2020,f1979,f162,f12360]) ).

fof(f12360,plain,
    ( spl3_670
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_670])]) ).

fof(f2020,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f164]) ).

fof(f12358,plain,
    ( spl3_669
    | ~ spl3_10
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2019,f1979,f157,f12356]) ).

fof(f12356,plain,
    ( spl3_669
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_669])]) ).

fof(f2019,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f159]) ).

fof(f12354,plain,
    ( spl3_668
    | ~ spl3_22
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1417,f1381,f245,f12352]) ).

fof(f12352,plain,
    ( spl3_668
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_668])]) ).

fof(f1417,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f246]) ).

fof(f12350,plain,
    ( spl3_667
    | ~ spl3_21
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1416,f1381,f241,f12348]) ).

fof(f12348,plain,
    ( spl3_667
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_667])]) ).

fof(f1416,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f242]) ).

fof(f12346,plain,
    ( spl3_666
    | ~ spl3_22
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1407,f1377,f245,f12344]) ).

fof(f12344,plain,
    ( spl3_666
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_666])]) ).

fof(f1407,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f246]) ).

fof(f12329,plain,
    ( spl3_665
    | ~ spl3_21
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1406,f1377,f241,f12327]) ).

fof(f12327,plain,
    ( spl3_665
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_665])]) ).

fof(f1406,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f242]) ).

fof(f12325,plain,
    ( spl3_664
    | ~ spl3_22
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1397,f1373,f245,f12323]) ).

fof(f12323,plain,
    ( spl3_664
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_664])]) ).

fof(f1397,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f246]) ).

fof(f12321,plain,
    ( spl3_663
    | ~ spl3_21
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1396,f1373,f241,f12319]) ).

fof(f12319,plain,
    ( spl3_663
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_663])]) ).

fof(f1396,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f242]) ).

fof(f12317,plain,
    ( spl3_662
    | ~ spl3_22
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1387,f1364,f245,f12315]) ).

fof(f12315,plain,
    ( spl3_662
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_662])]) ).

fof(f1387,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f246]) ).

fof(f12313,plain,
    ( spl3_661
    | ~ spl3_21
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1386,f1364,f241,f12311]) ).

fof(f12311,plain,
    ( spl3_661
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_661])]) ).

fof(f1386,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f242]) ).

fof(f12309,plain,
    ( spl3_660
    | ~ spl3_22
    | ~ spl3_109 ),
    inference(avatar_split_clause,[],[f1331,f1276,f245,f12307]) ).

fof(f12307,plain,
    ( spl3_660
  <=> ! [X0,X1] :
        ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_660])]) ).

fof(f1331,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_109 ),
    inference(resolution,[],[f1277,f246]) ).

fof(f12305,plain,
    ( spl3_659
    | ~ spl3_21
    | ~ spl3_109 ),
    inference(avatar_split_clause,[],[f1330,f1276,f241,f12303]) ).

fof(f12303,plain,
    ( spl3_659
  <=> ! [X0,X1] :
        ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_659])]) ).

fof(f1330,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_109 ),
    inference(resolution,[],[f1277,f242]) ).

fof(f12301,plain,
    ( spl3_658
    | ~ spl3_22
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f1316,f1267,f245,f12299]) ).

fof(f12299,plain,
    ( spl3_658
  <=> ! [X0,X1] :
        ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_658])]) ).

fof(f1316,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_107 ),
    inference(resolution,[],[f1268,f246]) ).

fof(f12297,plain,
    ( spl3_657
    | ~ spl3_21
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f1315,f1267,f241,f12295]) ).

fof(f12295,plain,
    ( spl3_657
  <=> ! [X0,X1] :
        ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_657])]) ).

fof(f1315,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_107 ),
    inference(resolution,[],[f1268,f242]) ).

fof(f12293,plain,
    ( spl3_656
    | ~ spl3_22
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f1305,f1263,f245,f12291]) ).

fof(f12291,plain,
    ( spl3_656
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_656])]) ).

fof(f1305,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_106 ),
    inference(resolution,[],[f1264,f246]) ).

fof(f12283,plain,
    ( spl3_655
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f1304,f1263,f241,f12281]) ).

fof(f12281,plain,
    ( spl3_655
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_655])]) ).

fof(f1304,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(resolution,[],[f1264,f242]) ).

fof(f12279,plain,
    ( spl3_654
    | ~ spl3_22
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f1290,f1259,f245,f12277]) ).

fof(f12277,plain,
    ( spl3_654
  <=> ! [X0,X1] :
        ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_654])]) ).

fof(f1290,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_105 ),
    inference(resolution,[],[f1260,f246]) ).

fof(f12275,plain,
    ( spl3_653
    | ~ spl3_21
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f1289,f1259,f241,f12273]) ).

fof(f12273,plain,
    ( spl3_653
  <=> ! [X0,X1] :
        ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_653])]) ).

fof(f1289,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_105 ),
    inference(resolution,[],[f1260,f242]) ).

fof(f12265,plain,
    ( spl3_12
    | ~ spl3_11
    | spl3_652
    | ~ spl3_41
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1156,f1105,f424,f12263,f162,f167]) ).

fof(f12263,plain,
    ( spl3_652
  <=> ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_652])]) ).

fof(f1105,plain,
    ( spl3_96
  <=> sz10 = sdtasdt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).

fof(f1156,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10 )
    | ~ spl3_41
    | ~ spl3_96 ),
    inference(duplicate_literal_removal,[],[f1145]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(X0,sz10)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_41
    | ~ spl3_96 ),
    inference(superposition,[],[f425,f1107]) ).

fof(f1107,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl3_96 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f12255,plain,
    ( spl3_12
    | ~ spl3_11
    | spl3_651
    | ~ spl3_40
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1154,f1105,f420,f12253,f162,f167]) ).

fof(f12253,plain,
    ( spl3_651
  <=> ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_651])]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10 )
    | ~ spl3_40
    | ~ spl3_96 ),
    inference(duplicate_literal_removal,[],[f1147]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( sz10 != sdtasdt0(sz10,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_40
    | ~ spl3_96 ),
    inference(superposition,[],[f421,f1107]) ).

fof(f11702,plain,
    ( spl3_650
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2087,f1999,f1199,f162,f152,f11700]) ).

fof(f2087,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_162 ),
    inference(forward_demodulation,[],[f2081,f1223]) ).

fof(f2081,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sz10)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f154]) ).

fof(f11698,plain,
    ( spl3_649
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2086,f1999,f1190,f162,f147,f11696]) ).

fof(f2086,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_162 ),
    inference(forward_demodulation,[],[f2080,f1211]) ).

fof(f2080,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f149]) ).

fof(f11694,plain,
    ( spl3_648
    | ~ spl3_9
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2055,f1991,f152,f11692]) ).

fof(f11692,plain,
    ( spl3_648
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_648])]) ).

fof(f2055,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xn)) = sdtasdt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_9
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f154]) ).

fof(f11690,plain,
    ( spl3_647
    | ~ spl3_8
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2054,f1991,f147,f11688]) ).

fof(f11688,plain,
    ( spl3_647
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_647])]) ).

fof(f2054,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_8
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f149]) ).

fof(f11686,plain,
    ( spl3_646
    | ~ spl3_9
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2045,f1987,f152,f11684]) ).

fof(f11684,plain,
    ( spl3_646
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_646])]) ).

fof(f2045,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtasdt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_9
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f154]) ).

fof(f11676,plain,
    ( spl3_645
    | ~ spl3_8
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2044,f1987,f147,f11674]) ).

fof(f11674,plain,
    ( spl3_645
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_645])]) ).

fof(f2044,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtasdt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_8
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f149]) ).

fof(f11672,plain,
    ( spl3_644
    | ~ spl3_9
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2035,f1983,f152,f11670]) ).

fof(f11670,plain,
    ( spl3_644
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_644])]) ).

fof(f2035,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xn)) = sdtpldt0(sdtasdt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_9
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f154]) ).

fof(f11668,plain,
    ( spl3_643
    | ~ spl3_8
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2034,f1983,f147,f11666]) ).

fof(f11666,plain,
    ( spl3_643
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_643])]) ).

fof(f2034,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,xm)) = sdtpldt0(sdtasdt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_8
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f149]) ).

fof(f11664,plain,
    ( spl3_642
    | ~ spl3_9
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2025,f1979,f152,f11662]) ).

fof(f11662,plain,
    ( spl3_642
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_642])]) ).

fof(f2025,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X1,xn),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_9
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f154]) ).

fof(f11660,plain,
    ( spl3_641
    | ~ spl3_8
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2024,f1979,f147,f11658]) ).

fof(f11658,plain,
    ( spl3_641
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_641])]) ).

fof(f2024,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtpldt0(X1,xm),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_8
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f149]) ).

fof(f11656,plain,
    ( spl3_640
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1975,f1916,f1203,f152,f147,f11654]) ).

fof(f11654,plain,
    ( spl3_640
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_640])]) ).

fof(f1975,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_155 ),
    inference(forward_demodulation,[],[f1968,f1240]) ).

fof(f1968,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm)) )
    | ~ spl3_8
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f149]) ).

fof(f11652,plain,
    ( spl3_639
    | ~ spl3_9
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1969,f1916,f152,f11650]) ).

fof(f11650,plain,
    ( spl3_639
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_639])]) ).

fof(f1969,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) )
    | ~ spl3_9
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f154]) ).

fof(f11648,plain,
    ( spl3_638
    | ~ spl3_9
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1955,f1912,f152,f11646]) ).

fof(f11646,plain,
    ( spl3_638
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_638])]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) )
    | ~ spl3_9
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f154]) ).

fof(f11644,plain,
    ( spl3_637
    | ~ spl3_8
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1954,f1912,f147,f11642]) ).

fof(f11642,plain,
    ( spl3_637
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_637])]) ).

fof(f1954,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) )
    | ~ spl3_8
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f149]) ).

fof(f11640,plain,
    ( spl3_636
    | ~ spl3_9
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1943,f1908,f152,f11638]) ).

fof(f11638,plain,
    ( spl3_636
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_636])]) ).

fof(f1943,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f154]) ).

fof(f11630,plain,
    ( spl3_635
    | ~ spl3_8
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1942,f1908,f147,f11628]) ).

fof(f11628,plain,
    ( spl3_635
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_635])]) ).

fof(f1942,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f149]) ).

fof(f11626,plain,
    ( spl3_634
    | ~ spl3_11
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1938,f1908,f162,f11624]) ).

fof(f1938,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f164]) ).

fof(f11622,plain,
    ( spl3_633
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1930,f1904,f1190,f152,f11620]) ).

fof(f11620,plain,
    ( spl3_633
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_633])]) ).

fof(f1930,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_152 ),
    inference(forward_demodulation,[],[f1925,f1216]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f154]) ).

fof(f11618,plain,
    ( spl3_632
    | ~ spl3_8
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1924,f1904,f147,f11616]) ).

fof(f11616,plain,
    ( spl3_632
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_632])]) ).

fof(f1924,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f149]) ).

fof(f11614,plain,
    ( spl3_631
    | ~ spl3_11
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1920,f1904,f162,f11612]) ).

fof(f1920,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f164]) ).

fof(f11610,plain,
    ( spl3_630
    | ~ spl3_22
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f1249,f1207,f245,f11608]) ).

fof(f11608,plain,
    ( spl3_630
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_630])]) ).

fof(f1249,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_104 ),
    inference(resolution,[],[f1208,f246]) ).

fof(f11606,plain,
    ( spl3_629
    | ~ spl3_21
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f1248,f1207,f241,f11604]) ).

fof(f11604,plain,
    ( spl3_629
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_629])]) ).

fof(f1248,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_104 ),
    inference(resolution,[],[f1208,f242]) ).

fof(f11602,plain,
    ( spl3_628
    | ~ spl3_22
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1237,f1203,f245,f11600]) ).

fof(f11600,plain,
    ( spl3_628
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_628])]) ).

fof(f1237,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_103 ),
    inference(resolution,[],[f1204,f246]) ).

fof(f11598,plain,
    ( spl3_627
    | ~ spl3_21
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1236,f1203,f241,f11596]) ).

fof(f11596,plain,
    ( spl3_627
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_627])]) ).

fof(f1236,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_103 ),
    inference(resolution,[],[f1204,f242]) ).

fof(f11594,plain,
    ( spl3_626
    | ~ spl3_22
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f1225,f1199,f245,f11592]) ).

fof(f11592,plain,
    ( spl3_626
  <=> ! [X0,X1] :
        ( sdtpldt0(xn,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_626])]) ).

fof(f1225,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xn,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xn)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_102 ),
    inference(resolution,[],[f1200,f246]) ).

fof(f11584,plain,
    ( spl3_625
    | ~ spl3_21
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f1224,f1199,f241,f11582]) ).

fof(f11582,plain,
    ( spl3_625
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_625])]) ).

fof(f1224,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_102 ),
    inference(resolution,[],[f1200,f242]) ).

fof(f11580,plain,
    ( spl3_624
    | ~ spl3_22
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1213,f1190,f245,f11578]) ).

fof(f11578,plain,
    ( spl3_624
  <=> ! [X0,X1] :
        ( sdtpldt0(xm,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xm)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_624])]) ).

fof(f1213,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(xm,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xm)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f246]) ).

fof(f11576,plain,
    ( spl3_623
    | ~ spl3_21
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1212,f1190,f241,f11574]) ).

fof(f11574,plain,
    ( spl3_623
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_623])]) ).

fof(f1212,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_100 ),
    inference(resolution,[],[f1191,f242]) ).

fof(f11569,plain,
    ( ~ spl3_11
    | ~ spl3_10
    | spl3_622
    | ~ spl3_36
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f1186,f1122,f371,f11567,f157,f162]) ).

fof(f11567,plain,
    ( spl3_622
  <=> ! [X0] :
        ( sz10 != sdtpldt0(X0,sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_622])]) ).

fof(f371,plain,
    ( spl3_36
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).

fof(f1122,plain,
    ( spl3_99
  <=> sz10 = sdtpldt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f1186,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(X0,sz10)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_36
    | ~ spl3_99 ),
    inference(superposition,[],[f372,f1124]) ).

fof(f1124,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl3_99 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f372,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_36 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f11551,plain,
    ( ~ spl3_10
    | ~ spl3_11
    | spl3_621
    | ~ spl3_35
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f1184,f1122,f367,f11549,f162,f157]) ).

fof(f11549,plain,
    ( spl3_621
  <=> ! [X0] :
        ( sz10 != sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_621])]) ).

fof(f367,plain,
    ( spl3_35
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(sz00,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_35
    | ~ spl3_99 ),
    inference(superposition,[],[f368,f1124]) ).

fof(f368,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f11541,plain,
    ( ~ spl3_10
    | ~ spl3_11
    | spl3_620
    | ~ spl3_36
    | ~ spl3_98 ),
    inference(avatar_split_clause,[],[f1177,f1117,f371,f11539,f162,f157]) ).

fof(f11539,plain,
    ( spl3_620
  <=> ! [X0] :
        ( sz10 != sdtpldt0(X0,sz00)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_620])]) ).

fof(f1177,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(X0,sz00)
        | sz10 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_36
    | ~ spl3_98 ),
    inference(superposition,[],[f372,f1119]) ).

fof(f11524,plain,
    ( ~ spl3_11
    | ~ spl3_10
    | spl3_619
    | ~ spl3_35
    | ~ spl3_98 ),
    inference(avatar_split_clause,[],[f1175,f1117,f367,f11522,f157,f162]) ).

fof(f11522,plain,
    ( spl3_619
  <=> ! [X0] :
        ( sz10 != sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_619])]) ).

fof(f1175,plain,
    ( ! [X0] :
        ( sz10 != sdtpldt0(sz10,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_35
    | ~ spl3_98 ),
    inference(superposition,[],[f368,f1119]) ).

fof(f11518,plain,
    ( ~ spl3_9
    | ~ spl3_10
    | spl3_618
    | ~ spl3_36
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f1086,f994,f371,f11516,f157,f152]) ).

fof(f11516,plain,
    ( spl3_618
  <=> ! [X0] :
        ( xn != sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_618])]) ).

fof(f994,plain,
    ( spl3_91
  <=> xn = sdtpldt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).

fof(f1086,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,xn)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_36
    | ~ spl3_91 ),
    inference(superposition,[],[f372,f996]) ).

fof(f996,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl3_91 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f11501,plain,
    ( ~ spl3_10
    | ~ spl3_9
    | spl3_617
    | ~ spl3_35
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f1084,f994,f367,f11499,f152,f157]) ).

fof(f11499,plain,
    ( spl3_617
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_617])]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_35
    | ~ spl3_91 ),
    inference(superposition,[],[f368,f996]) ).

fof(f11494,plain,
    ( ~ spl3_8
    | ~ spl3_10
    | spl3_616
    | ~ spl3_36
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1077,f989,f371,f11492,f157,f147]) ).

fof(f989,plain,
    ( spl3_90
  <=> xm = sdtpldt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).

fof(f1077,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,xm)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_36
    | ~ spl3_90 ),
    inference(superposition,[],[f372,f991]) ).

fof(f991,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl3_90 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f11477,plain,
    ( ~ spl3_10
    | ~ spl3_8
    | spl3_615
    | ~ spl3_35
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1075,f989,f367,f11475,f147,f157]) ).

fof(f11475,plain,
    ( spl3_615
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_615])]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_35
    | ~ spl3_90 ),
    inference(superposition,[],[f368,f991]) ).

fof(f11461,plain,
    ( ~ spl3_10
    | ~ spl3_9
    | spl3_614
    | ~ spl3_36
    | ~ spl3_89 ),
    inference(avatar_split_clause,[],[f1068,f984,f371,f11459,f152,f157]) ).

fof(f11459,plain,
    ( spl3_614
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != xn
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_614])]) ).

fof(f984,plain,
    ( spl3_89
  <=> xn = sdtpldt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != xn
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_36
    | ~ spl3_89 ),
    inference(superposition,[],[f372,f986]) ).

fof(f986,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl3_89 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f11446,plain,
    ( ~ spl3_9
    | ~ spl3_10
    | spl3_613
    | ~ spl3_35
    | ~ spl3_89 ),
    inference(avatar_split_clause,[],[f1066,f984,f367,f11444,f157,f152]) ).

fof(f11444,plain,
    ( spl3_613
  <=> ! [X0] :
        ( xn != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_613])]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xn,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_35
    | ~ spl3_89 ),
    inference(superposition,[],[f368,f986]) ).

fof(f11436,plain,
    ( ~ spl3_10
    | ~ spl3_8
    | spl3_612
    | ~ spl3_36
    | ~ spl3_88 ),
    inference(avatar_split_clause,[],[f1058,f977,f371,f11434,f147,f157]) ).

fof(f11434,plain,
    ( spl3_612
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != xm
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_612])]) ).

fof(f977,plain,
    ( spl3_88
  <=> xm = sdtpldt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != xm
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_36
    | ~ spl3_88 ),
    inference(superposition,[],[f372,f979]) ).

fof(f979,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl3_88 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f11422,plain,
    ( ~ spl3_8
    | ~ spl3_10
    | spl3_611
    | ~ spl3_35
    | ~ spl3_88 ),
    inference(avatar_split_clause,[],[f1056,f977,f367,f11420,f157,f147]) ).

fof(f11420,plain,
    ( spl3_611
  <=> ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_611])]) ).

fof(f1056,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_35
    | ~ spl3_88 ),
    inference(superposition,[],[f368,f979]) ).

fof(f11189,plain,
    ( spl3_610
    | ~ spl3_11
    | ~ spl3_96
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2115,f2016,f1105,f162,f11187]) ).

fof(f11187,plain,
    ( spl3_610
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_610])]) ).

fof(f2115,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_96
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2105,f1107]) ).

fof(f2105,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10)) )
    | ~ spl3_11
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f164]) ).

fof(f11185,plain,
    ( spl3_609
    | ~ spl3_10
    | ~ spl3_94
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2114,f2016,f1095,f157,f11183]) ).

fof(f11183,plain,
    ( spl3_609
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_609])]) ).

fof(f1095,plain,
    ( spl3_94
  <=> sz00 = sdtasdt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).

fof(f2114,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_94
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2104,f1097]) ).

fof(f1097,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl3_94 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f2104,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00)) )
    | ~ spl3_10
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f159]) ).

fof(f11181,plain,
    ( spl3_608
    | ~ spl3_11
    | ~ spl3_95
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2099,f2003,f1100,f162,f11179]) ).

fof(f11179,plain,
    ( spl3_608
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_608])]) ).

fof(f1100,plain,
    ( spl3_95
  <=> sz00 = sdtasdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).

fof(f2099,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_95
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2089,f1102]) ).

fof(f1102,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl3_95 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f2089,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10)) )
    | ~ spl3_11
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f164]) ).

fof(f11177,plain,
    ( spl3_607
    | ~ spl3_10
    | ~ spl3_93
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2098,f2003,f1090,f157,f11175]) ).

fof(f11175,plain,
    ( spl3_607
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_607])]) ).

fof(f1090,plain,
    ( spl3_93
  <=> sz00 = sdtasdt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).

fof(f2098,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_93
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2088,f1092]) ).

fof(f1092,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl3_93 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f2088,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) )
    | ~ spl3_10
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f159]) ).

fof(f11173,plain,
    ( spl3_606
    | ~ spl3_10
    | ~ spl3_99
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2085,f1999,f1122,f157,f11171]) ).

fof(f11171,plain,
    ( spl3_606
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_606])]) ).

fof(f2085,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_99
    | ~ spl3_162 ),
    inference(forward_demodulation,[],[f2075,f1124]) ).

fof(f2075,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f159]) ).

fof(f11163,plain,
    ( spl3_605
    | ~ spl3_11
    | ~ spl3_98
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2070,f1995,f1117,f162,f11161]) ).

fof(f11161,plain,
    ( spl3_605
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_605])]) ).

fof(f2070,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_98
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2060,f1119]) ).

fof(f2060,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f164]) ).

fof(f11159,plain,
    ( spl3_604
    | ~ spl3_10
    | ~ spl3_97
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2069,f1995,f1110,f157,f11157]) ).

fof(f11157,plain,
    ( spl3_604
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_604])]) ).

fof(f1110,plain,
    ( spl3_97
  <=> sz00 = sdtpldt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_97
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2059,f1112]) ).

fof(f1112,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl3_97 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f2059,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f159]) ).

fof(f11155,plain,
    ( spl3_603
    | ~ spl3_11
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1743,f1687,f162,f11153]) ).

fof(f1743,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f164]) ).

fof(f10598,plain,
    ( spl3_602
    | ~ spl3_9
    | ~ spl3_87
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2117,f2016,f972,f152,f10596]) ).

fof(f10596,plain,
    ( spl3_602
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_602])]) ).

fof(f2117,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_87
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2110,f974]) ).

fof(f2110,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz10,xn)) )
    | ~ spl3_9
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f154]) ).

fof(f10594,plain,
    ( spl3_601
    | ~ spl3_8
    | ~ spl3_86
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2116,f2016,f967,f147,f10592]) ).

fof(f10592,plain,
    ( spl3_601
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_601])]) ).

fof(f2116,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_86
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2109,f969]) ).

fof(f2109,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz10,xm)) )
    | ~ spl3_8
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f149]) ).

fof(f10590,plain,
    ( spl3_600
    | ~ spl3_9
    | ~ spl3_83
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2101,f2003,f952,f152,f10588]) ).

fof(f10588,plain,
    ( spl3_600
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_600])]) ).

fof(f952,plain,
    ( spl3_83
  <=> sz00 = sdtasdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f2101,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_83
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2094,f954]) ).

fof(f954,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl3_83 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f2094,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz00,xn)) )
    | ~ spl3_9
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f154]) ).

fof(f10580,plain,
    ( spl3_599
    | ~ spl3_8
    | ~ spl3_82
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2100,f2003,f947,f147,f10578]) ).

fof(f10578,plain,
    ( spl3_599
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_599])]) ).

fof(f947,plain,
    ( spl3_82
  <=> sz00 = sdtasdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).

fof(f2100,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_82
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2093,f949]) ).

fof(f949,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl3_82 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f2093,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz00,xm)) )
    | ~ spl3_8
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f149]) ).

fof(f10576,plain,
    ( spl3_598
    | ~ spl3_9
    | ~ spl3_89
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2072,f1995,f984,f152,f10574]) ).

fof(f10574,plain,
    ( spl3_598
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_598])]) ).

fof(f2072,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_89
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2065,f986]) ).

fof(f2065,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sz00)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f154]) ).

fof(f10572,plain,
    ( spl3_597
    | ~ spl3_8
    | ~ spl3_88
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2071,f1995,f977,f147,f10570]) ).

fof(f10570,plain,
    ( spl3_597
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_597])]) ).

fof(f2071,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_88
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2064,f979]) ).

fof(f2064,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sz00)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f149]) ).

fof(f10568,plain,
    ( spl3_596
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1974,f1916,f962,f162,f10566]) ).

fof(f10566,plain,
    ( spl3_596
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_596])]) ).

fof(f1974,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_85
    | ~ spl3_155 ),
    inference(forward_demodulation,[],[f1964,f964]) ).

fof(f1964,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xn,sz10)) )
    | ~ spl3_11
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f164]) ).

fof(f10564,plain,
    ( spl3_595
    | ~ spl3_10
    | ~ spl3_81
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1973,f1916,f942,f157,f10562]) ).

fof(f10562,plain,
    ( spl3_595
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_595])]) ).

fof(f942,plain,
    ( spl3_81
  <=> sz00 = sdtasdt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).

fof(f1973,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_81
    | ~ spl3_155 ),
    inference(forward_demodulation,[],[f1963,f944]) ).

fof(f944,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl3_81 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f1963,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,sz00)) )
    | ~ spl3_10
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f159]) ).

fof(f10560,plain,
    ( spl3_594
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1960,f1912,f957,f162,f10558]) ).

fof(f10558,plain,
    ( spl3_594
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_594])]) ).

fof(f1960,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_84
    | ~ spl3_154 ),
    inference(forward_demodulation,[],[f1950,f959]) ).

fof(f1950,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xm,sz10)) )
    | ~ spl3_11
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f164]) ).

fof(f10556,plain,
    ( spl3_593
    | ~ spl3_10
    | ~ spl3_80
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1959,f1912,f937,f157,f10554]) ).

fof(f10554,plain,
    ( spl3_593
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_593])]) ).

fof(f937,plain,
    ( spl3_80
  <=> sz00 = sdtasdt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_80
    | ~ spl3_154 ),
    inference(forward_demodulation,[],[f1949,f939]) ).

fof(f939,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl3_80 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f1949,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,sz00)) )
    | ~ spl3_10
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f159]) ).

fof(f10552,plain,
    ( spl3_592
    | ~ spl3_10
    | ~ spl3_91
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1947,f1908,f994,f157,f10550]) ).

fof(f10550,plain,
    ( spl3_592
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_592])]) ).

fof(f1947,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_91
    | ~ spl3_153 ),
    inference(forward_demodulation,[],[f1937,f996]) ).

fof(f1937,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,xn)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f159]) ).

fof(f10548,plain,
    ( spl3_591
    | ~ spl3_10
    | ~ spl3_90
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1929,f1904,f989,f157,f10546]) ).

fof(f10546,plain,
    ( spl3_591
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_591])]) ).

fof(f1929,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_90
    | ~ spl3_152 ),
    inference(forward_demodulation,[],[f1919,f991]) ).

fof(f1919,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,xm)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f159]) ).

fof(f10544,plain,
    ( spl3_590
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1754,f1687,f1199,f162,f152,f10542]) ).

fof(f1754,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sz10,xn)) = sdtpldt0(sdtpldt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_11
    | ~ spl3_102
    | ~ spl3_140 ),
    inference(forward_demodulation,[],[f1748,f1223]) ).

fof(f1748,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sz10) = sdtpldt0(X0,sdtpldt0(xn,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f154]) ).

fof(f10534,plain,
    ( spl3_589
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1753,f1687,f1190,f162,f147,f10532]) ).

fof(f1753,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sz10,xm)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_11
    | ~ spl3_100
    | ~ spl3_140 ),
    inference(forward_demodulation,[],[f1747,f1211]) ).

fof(f1747,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sz10) = sdtpldt0(X0,sdtpldt0(xm,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f149]) ).

fof(f10530,plain,
    ( spl3_588
    | ~ spl3_9
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1663,f1616,f152,f10528]) ).

fof(f1663,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xn) = sdtpldt0(X0,sdtpldt0(xn,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f154]) ).

fof(f10526,plain,
    ( spl3_587
    | ~ spl3_8
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1662,f1616,f147,f10524]) ).

fof(f10524,plain,
    ( spl3_587
  <=> ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_587])]) ).

fof(f1662,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f149]) ).

fof(f10522,plain,
    ( spl3_586
    | ~ spl3_11
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1658,f1616,f162,f10520]) ).

fof(f1658,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xn) = sdtpldt0(X0,sdtpldt0(sz10,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f164]) ).

fof(f10518,plain,
    ( spl3_585
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1655,f1612,f1190,f152,f10516]) ).

fof(f1655,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_100
    | ~ spl3_134 ),
    inference(forward_demodulation,[],[f1650,f1216]) ).

fof(f1650,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f154]) ).

fof(f10514,plain,
    ( spl3_584
    | ~ spl3_8
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1649,f1612,f147,f10512]) ).

fof(f1649,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f149]) ).

fof(f10510,plain,
    ( spl3_583
    | ~ spl3_11
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1645,f1612,f162,f10508]) ).

fof(f1645,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f164]) ).

fof(f10506,plain,
    ( spl3_582
    | ~ spl3_9
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1638,f1608,f152,f10504]) ).

fof(f1638,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sdtasdt0(xn,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f154]) ).

fof(f10502,plain,
    ( spl3_581
    | ~ spl3_8
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1637,f1608,f147,f10500]) ).

fof(f1637,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(X0,xm),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f149]) ).

fof(f10498,plain,
    ( spl3_580
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1631,f1604,f1203,f152,f10496]) ).

fof(f1631,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xm,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_103
    | ~ spl3_132 ),
    inference(forward_demodulation,[],[f1625,f1240]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),xm) = sdtasdt0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f154]) ).

fof(f10494,plain,
    ( spl3_579
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_57
    | ~ spl3_268 ),
    inference(avatar_split_clause,[],[f4479,f3987,f644,f137,f117,f10491]) ).

fof(f10491,plain,
    ( spl3_579
  <=> xn = sdtpldt0(sK0,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_579])]) ).

fof(f4479,plain,
    ( xn = sdtpldt0(sK0,sdtpldt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_57
    | ~ spl3_268 ),
    inference(forward_demodulation,[],[f4478,f139]) ).

fof(f4478,plain,
    ( sdtpldt0(xm,sK1) = sdtpldt0(sK0,sdtpldt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_268 ),
    inference(forward_demodulation,[],[f4470,f646]) ).

fof(f4470,plain,
    ( sdtpldt0(sdtpldt0(sK0,xn),sK1) = sdtpldt0(sK0,sdtpldt0(sK1,xn))
    | ~ spl3_2
    | ~ spl3_268 ),
    inference(resolution,[],[f3988,f119]) ).

fof(f10489,plain,
    ( spl3_578
    | ~ spl3_8
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1624,f1604,f147,f10487]) ).

fof(f1624,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),xm) = sdtasdt0(X0,sdtasdt0(xm,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f149]) ).

fof(f10121,plain,
    ( spl3_577
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_63
    | ~ spl3_126
    | ~ spl3_214
    | ~ spl3_263 ),
    inference(avatar_split_clause,[],[f4394,f3966,f3171,f1512,f702,f152,f112,f10118]) ).

fof(f10118,plain,
    ( spl3_577
  <=> xn = sdtpldt0(xn,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_577])]) ).

fof(f4394,plain,
    ( xn = sdtpldt0(xn,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_63
    | ~ spl3_126
    | ~ spl3_214
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4393,f3424]) ).

fof(f3424,plain,
    ( xn = sdtpldt0(sdtpldt0(sK1,xn),sK0)
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_214 ),
    inference(forward_demodulation,[],[f3416,f704]) ).

fof(f3416,plain,
    ( sdtpldt0(sK1,xm) = sdtpldt0(sdtpldt0(sK1,xn),sK0)
    | ~ spl3_1
    | ~ spl3_214 ),
    inference(resolution,[],[f3172,f114]) ).

fof(f4393,plain,
    ( sdtpldt0(sdtpldt0(sK1,xn),sK0) = sdtpldt0(xn,sdtpldt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_126
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4381,f1514]) ).

fof(f4381,plain,
    ( sdtpldt0(sdtpldt0(xn,sK1),sK0) = sdtpldt0(xn,sdtpldt0(sK0,sK1))
    | ~ spl3_9
    | ~ spl3_263 ),
    inference(resolution,[],[f3967,f154]) ).

fof(f9905,plain,
    ( spl3_576
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_263 ),
    inference(avatar_split_clause,[],[f4392,f3966,f147,f142,f137,f9902]) ).

fof(f9902,plain,
    ( spl3_576
  <=> xm = sdtpldt0(xm,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_576])]) ).

fof(f4392,plain,
    ( xm = sdtpldt0(xm,sdtpldt0(sK0,sK1))
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4391,f144]) ).

fof(f4391,plain,
    ( sdtpldt0(xn,sK0) = sdtpldt0(xm,sdtpldt0(sK0,sK1))
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_263 ),
    inference(forward_demodulation,[],[f4380,f139]) ).

fof(f4380,plain,
    ( sdtpldt0(sdtpldt0(xm,sK1),sK0) = sdtpldt0(xm,sdtpldt0(sK0,sK1))
    | ~ spl3_8
    | ~ spl3_263 ),
    inference(resolution,[],[f3967,f149]) ).

fof(f9836,plain,
    ( ~ spl3_10
    | spl3_575
    | ~ spl3_11
    | ~ spl3_99
    | ~ spl3_166 ),
    inference(avatar_split_clause,[],[f2203,f2135,f1122,f162,f9833,f157]) ).

fof(f9833,plain,
    ( spl3_575
  <=> sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_575])]) ).

fof(f2203,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_99
    | ~ spl3_166 ),
    inference(duplicate_literal_removal,[],[f2174]) ).

fof(f2174,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sdtmndt0(sz10,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl3_99
    | ~ spl3_166 ),
    inference(superposition,[],[f2136,f1124]) ).

fof(f9820,plain,
    ( ~ spl3_10
    | spl3_574
    | ~ spl3_11
    | ~ spl3_99
    | ~ spl3_165 ),
    inference(avatar_split_clause,[],[f2169,f2121,f1122,f162,f9817,f157]) ).

fof(f9817,plain,
    ( spl3_574
  <=> sz10 = sdtpldt0(sz00,sK2(sz00,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_574])]) ).

fof(f2169,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sK2(sz00,sz10))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_99
    | ~ spl3_165 ),
    inference(duplicate_literal_removal,[],[f2140]) ).

fof(f2140,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtpldt0(sz00,sK2(sz00,sz10))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl3_99
    | ~ spl3_165 ),
    inference(superposition,[],[f2122,f1124]) ).

fof(f9815,plain,
    ( spl3_573
    | ~ spl3_13
    | ~ spl3_150 ),
    inference(avatar_split_clause,[],[f1900,f1823,f172,f9813]) ).

fof(f9813,plain,
    ( spl3_573
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_573])]) ).

fof(f1900,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_150 ),
    inference(duplicate_literal_removal,[],[f1893]) ).

fof(f1893,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sz00,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_150 ),
    inference(resolution,[],[f1824,f173]) ).

fof(f9811,plain,
    ( spl3_572
    | ~ spl3_13
    | ~ spl3_149 ),
    inference(avatar_split_clause,[],[f1890,f1819,f172,f9809]) ).

fof(f9809,plain,
    ( spl3_572
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_572])]) ).

fof(f1890,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00) )
    | ~ spl3_13
    | ~ spl3_149 ),
    inference(duplicate_literal_removal,[],[f1883]) ).

fof(f1883,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtpldt0(sdtmndt0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_149 ),
    inference(resolution,[],[f1820,f173]) ).

fof(f9807,plain,
    ( spl3_571
    | ~ spl3_13
    | ~ spl3_148 ),
    inference(avatar_split_clause,[],[f1880,f1815,f172,f9805]) ).

fof(f9805,plain,
    ( spl3_571
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_571])]) ).

fof(f1880,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_148 ),
    inference(duplicate_literal_removal,[],[f1873]) ).

fof(f1873,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sz10,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_148 ),
    inference(resolution,[],[f1816,f173]) ).

fof(f9803,plain,
    ( spl3_570
    | ~ spl3_13
    | ~ spl3_147 ),
    inference(avatar_split_clause,[],[f1870,f1811,f172,f9801]) ).

fof(f9801,plain,
    ( spl3_570
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_570])]) ).

fof(f1870,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10) )
    | ~ spl3_13
    | ~ spl3_147 ),
    inference(duplicate_literal_removal,[],[f1863]) ).

fof(f1863,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X0,X0) = sdtasdt0(sdtmndt0(X0,X0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_147 ),
    inference(resolution,[],[f1812,f173]) ).

fof(f9799,plain,
    ( spl3_569
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_63
    | ~ spl3_262 ),
    inference(avatar_split_clause,[],[f4370,f3962,f702,f142,f112,f9796]) ).

fof(f9796,plain,
    ( spl3_569
  <=> xm = sdtpldt0(sK1,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_569])]) ).

fof(f4370,plain,
    ( xm = sdtpldt0(sK1,sdtpldt0(sK0,xm))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_63
    | ~ spl3_262 ),
    inference(forward_demodulation,[],[f4369,f144]) ).

fof(f4369,plain,
    ( sdtpldt0(xn,sK0) = sdtpldt0(sK1,sdtpldt0(sK0,xm))
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_262 ),
    inference(forward_demodulation,[],[f4361,f704]) ).

fof(f4361,plain,
    ( sdtpldt0(sdtpldt0(sK1,xm),sK0) = sdtpldt0(sK1,sdtpldt0(sK0,xm))
    | ~ spl3_1
    | ~ spl3_262 ),
    inference(resolution,[],[f3963,f114]) ).

fof(f9794,plain,
    ( spl3_568
    | ~ spl3_13
    | ~ spl3_146 ),
    inference(avatar_split_clause,[],[f1862,f1807,f172,f9792]) ).

fof(f1862,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sz00,sK2(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_146 ),
    inference(duplicate_literal_removal,[],[f1855]) ).

fof(f1855,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sz00,sK2(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_146 ),
    inference(resolution,[],[f1808,f173]) ).

fof(f9790,plain,
    ( spl3_567
    | ~ spl3_13
    | ~ spl3_145 ),
    inference(avatar_split_clause,[],[f1849,f1803,f172,f9788]) ).

fof(f1849,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sK2(X0,X0),sz00) )
    | ~ spl3_13
    | ~ spl3_145 ),
    inference(duplicate_literal_removal,[],[f1842]) ).

fof(f1842,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtpldt0(sK2(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_145 ),
    inference(resolution,[],[f1804,f173]) ).

fof(f9786,plain,
    ( spl3_566
    | ~ spl3_13
    | ~ spl3_144 ),
    inference(avatar_split_clause,[],[f1841,f1799,f172,f9784]) ).

fof(f1841,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sz10,sK2(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_144 ),
    inference(duplicate_literal_removal,[],[f1834]) ).

fof(f1834,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sz10,sK2(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_144 ),
    inference(resolution,[],[f1800,f173]) ).

fof(f9782,plain,
    ( spl3_565
    | ~ spl3_13
    | ~ spl3_142 ),
    inference(avatar_split_clause,[],[f1833,f1790,f172,f9780]) ).

fof(f1833,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sK2(X0,X0),sz10) )
    | ~ spl3_13
    | ~ spl3_142 ),
    inference(duplicate_literal_removal,[],[f1826]) ).

fof(f1826,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X0) = sdtasdt0(sK2(X0,X0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_142 ),
    inference(resolution,[],[f1791,f173]) ).

fof(f9778,plain,
    ( spl3_564
    | ~ spl3_21
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1786,f1691,f241,f9776]) ).

fof(f1786,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1755]) ).

fof(f1755,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_141 ),
    inference(resolution,[],[f1692,f242]) ).

fof(f9774,plain,
    ( spl3_563
    | ~ spl3_10
    | ~ spl3_99
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1752,f1687,f1122,f157,f9772]) ).

fof(f9772,plain,
    ( spl3_563
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_563])]) ).

fof(f1752,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_99
    | ~ spl3_140 ),
    inference(forward_demodulation,[],[f1742,f1124]) ).

fof(f1742,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(X0,sdtpldt0(sz00,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f159]) ).

fof(f9770,plain,
    ( spl3_562
    | ~ spl3_11
    | ~ spl3_98
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1737,f1683,f1117,f162,f9768]) ).

fof(f9768,plain,
    ( spl3_562
  <=> ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_562])]) ).

fof(f1737,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_98
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1727,f1119]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f164]) ).

fof(f9766,plain,
    ( spl3_561
    | ~ spl3_10
    | ~ spl3_97
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1736,f1683,f1110,f157,f9764]) ).

fof(f9764,plain,
    ( spl3_561
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_561])]) ).

fof(f1736,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_97
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1726,f1112]) ).

fof(f1726,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f159]) ).

fof(f9762,plain,
    ( spl3_560
    | ~ spl3_11
    | ~ spl3_96
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1721,f1679,f1105,f162,f9760]) ).

fof(f9760,plain,
    ( spl3_560
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_560])]) ).

fof(f1721,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_96
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1711,f1107]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f164]) ).

fof(f9758,plain,
    ( spl3_559
    | ~ spl3_10
    | ~ spl3_95
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1720,f1679,f1100,f157,f9756]) ).

fof(f9756,plain,
    ( spl3_559
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_559])]) ).

fof(f1720,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_95
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1710,f1102]) ).

fof(f1710,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f159]) ).

fof(f9748,plain,
    ( spl3_558
    | ~ spl3_11
    | ~ spl3_94
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1705,f1670,f1095,f162,f9746]) ).

fof(f9746,plain,
    ( spl3_558
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_558])]) ).

fof(f1705,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_94
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1695,f1097]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f164]) ).

fof(f9744,plain,
    ( spl3_557
    | ~ spl3_10
    | ~ spl3_93
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1704,f1670,f1090,f157,f9742]) ).

fof(f9742,plain,
    ( spl3_557
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_557])]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_93
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1694,f1092]) ).

fof(f1694,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f159]) ).

fof(f9740,plain,
    ( spl3_556
    | ~ spl3_11
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1537,f1458,f162,f9738]) ).

fof(f9738,plain,
    ( spl3_556
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_556])]) ).

fof(f1537,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
    | ~ spl3_11
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f164]) ).

fof(f9736,plain,
    ( spl3_555
    | ~ spl3_10
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1536,f1458,f157,f9734]) ).

fof(f9734,plain,
    ( spl3_555
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_555])]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
    | ~ spl3_10
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f159]) ).

fof(f9732,plain,
    ( spl3_554
    | ~ spl3_11
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1527,f1454,f162,f9730]) ).

fof(f9730,plain,
    ( spl3_554
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_554])]) ).

fof(f1527,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f164]) ).

fof(f9728,plain,
    ( spl3_553
    | ~ spl3_10
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1526,f1454,f157,f9726]) ).

fof(f9726,plain,
    ( spl3_553
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_553])]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f159]) ).

fof(f9724,plain,
    ( spl3_552
    | ~ spl3_11
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1517,f1450,f162,f9722]) ).

fof(f9722,plain,
    ( spl3_552
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_552])]) ).

fof(f1517,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
    | ~ spl3_11
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f164]) ).

fof(f9720,plain,
    ( spl3_551
    | ~ spl3_10
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1516,f1450,f157,f9718]) ).

fof(f9718,plain,
    ( spl3_551
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_551])]) ).

fof(f1516,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
    | ~ spl3_10
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f159]) ).

fof(f9716,plain,
    ( spl3_550
    | ~ spl3_11
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1502,f1446,f162,f9714]) ).

fof(f9714,plain,
    ( spl3_550
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_550])]) ).

fof(f1502,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f164]) ).

fof(f9712,plain,
    ( spl3_549
    | ~ spl3_10
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1501,f1446,f157,f9710]) ).

fof(f9710,plain,
    ( spl3_549
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_549])]) ).

fof(f1501,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f159]) ).

fof(f9702,plain,
    ( spl3_548
    | ~ spl3_11
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1492,f1442,f162,f9700]) ).

fof(f9700,plain,
    ( spl3_548
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_548])]) ).

fof(f1492,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
    | ~ spl3_11
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f164]) ).

fof(f9698,plain,
    ( spl3_547
    | ~ spl3_10
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1491,f1442,f157,f9696]) ).

fof(f9696,plain,
    ( spl3_547
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_547])]) ).

fof(f1491,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
    | ~ spl3_10
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f159]) ).

fof(f9694,plain,
    ( spl3_546
    | ~ spl3_11
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1482,f1433,f162,f9692]) ).

fof(f9692,plain,
    ( spl3_546
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_546])]) ).

fof(f1482,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f164]) ).

fof(f9690,plain,
    ( spl3_545
    | ~ spl3_10
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1481,f1433,f157,f9688]) ).

fof(f9688,plain,
    ( spl3_545
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_545])]) ).

fof(f1481,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f159]) ).

fof(f9686,plain,
    ( spl3_544
    | ~ spl3_11
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1472,f1429,f162,f9684]) ).

fof(f9684,plain,
    ( spl3_544
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_544])]) ).

fof(f1472,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
    | ~ spl3_11
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f164]) ).

fof(f9682,plain,
    ( spl3_543
    | ~ spl3_10
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1471,f1429,f157,f9680]) ).

fof(f9680,plain,
    ( spl3_543
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_543])]) ).

fof(f1471,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
    | ~ spl3_10
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f159]) ).

fof(f9678,plain,
    ( spl3_542
    | ~ spl3_11
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1462,f1425,f162,f9676]) ).

fof(f9676,plain,
    ( spl3_542
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_542])]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f164]) ).

fof(f9674,plain,
    ( spl3_541
    | ~ spl3_10
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1461,f1425,f157,f9672]) ).

fof(f9672,plain,
    ( spl3_541
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_541])]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f159]) ).

fof(f9118,plain,
    ( ~ spl3_10
    | spl3_540
    | ~ spl3_8
    | ~ spl3_90
    | ~ spl3_166 ),
    inference(avatar_split_clause,[],[f2202,f2135,f989,f147,f9115,f157]) ).

fof(f9115,plain,
    ( spl3_540
  <=> xm = sdtpldt0(sz00,sdtmndt0(xm,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_540])]) ).

fof(f2202,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtpldt0(sz00,sdtmndt0(xm,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_90
    | ~ spl3_166 ),
    inference(duplicate_literal_removal,[],[f2175]) ).

fof(f2175,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtpldt0(sz00,sdtmndt0(xm,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_90
    | ~ spl3_166 ),
    inference(superposition,[],[f2136,f991]) ).

fof(f9112,plain,
    ( ~ spl3_10
    | spl3_539
    | ~ spl3_9
    | ~ spl3_91
    | ~ spl3_166 ),
    inference(avatar_split_clause,[],[f2201,f2135,f994,f152,f9109,f157]) ).

fof(f9109,plain,
    ( spl3_539
  <=> xn = sdtpldt0(sz00,sdtmndt0(xn,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_539])]) ).

fof(f2201,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtpldt0(sz00,sdtmndt0(xn,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_91
    | ~ spl3_166 ),
    inference(duplicate_literal_removal,[],[f2176]) ).

fof(f2176,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtpldt0(sz00,sdtmndt0(xn,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_91
    | ~ spl3_166 ),
    inference(superposition,[],[f2136,f996]) ).

fof(f9097,plain,
    ( ~ spl3_10
    | spl3_538
    | ~ spl3_8
    | ~ spl3_90
    | ~ spl3_165 ),
    inference(avatar_split_clause,[],[f2168,f2121,f989,f147,f9094,f157]) ).

fof(f9094,plain,
    ( spl3_538
  <=> xm = sdtpldt0(sz00,sK2(sz00,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_538])]) ).

fof(f2168,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtpldt0(sz00,sK2(sz00,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_90
    | ~ spl3_165 ),
    inference(duplicate_literal_removal,[],[f2141]) ).

fof(f2141,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtpldt0(sz00,sK2(sz00,xm))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_90
    | ~ spl3_165 ),
    inference(superposition,[],[f2122,f991]) ).

fof(f9075,plain,
    ( ~ spl3_10
    | spl3_537
    | ~ spl3_9
    | ~ spl3_91
    | ~ spl3_165 ),
    inference(avatar_split_clause,[],[f2167,f2121,f994,f152,f9072,f157]) ).

fof(f9072,plain,
    ( spl3_537
  <=> xn = sdtpldt0(sz00,sK2(sz00,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_537])]) ).

fof(f2167,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtpldt0(sz00,sK2(sz00,xn))
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_91
    | ~ spl3_165 ),
    inference(duplicate_literal_removal,[],[f2142]) ).

fof(f2142,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtpldt0(sz00,sK2(sz00,xn))
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_91
    | ~ spl3_165 ),
    inference(superposition,[],[f2122,f996]) ).

fof(f9070,plain,
    ( spl3_536
    | ~ spl3_9
    | ~ spl3_89
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1739,f1683,f984,f152,f9068]) ).

fof(f9068,plain,
    ( spl3_536
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_536])]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_89
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1732,f986]) ).

fof(f1732,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sz00) = sdtpldt0(X0,sdtpldt0(xn,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f154]) ).

fof(f9066,plain,
    ( spl3_535
    | ~ spl3_8
    | ~ spl3_88
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1738,f1683,f977,f147,f9064]) ).

fof(f9064,plain,
    ( spl3_535
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_535])]) ).

fof(f1738,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_88
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1731,f979]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sz00) = sdtpldt0(X0,sdtpldt0(xm,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f149]) ).

fof(f9062,plain,
    ( spl3_534
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1723,f1679,f962,f152,f9060]) ).

fof(f9060,plain,
    ( spl3_534
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_534])]) ).

fof(f1723,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xn),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_85
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1716,f964]) ).

fof(f1716,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sz10) = sdtasdt0(X0,sdtasdt0(xn,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f154]) ).

fof(f9058,plain,
    ( spl3_533
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1722,f1679,f957,f147,f9056]) ).

fof(f9056,plain,
    ( spl3_533
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_533])]) ).

fof(f1722,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xm),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_84
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1715,f959]) ).

fof(f1715,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sz10) = sdtasdt0(X0,sdtasdt0(xm,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f149]) ).

fof(f9054,plain,
    ( spl3_532
    | ~ spl3_9
    | ~ spl3_81
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1707,f1670,f942,f152,f9052]) ).

fof(f9052,plain,
    ( spl3_532
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_532])]) ).

fof(f1707,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xn),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_81
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1700,f944]) ).

fof(f1700,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sz00) = sdtasdt0(X0,sdtasdt0(xn,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f154]) ).

fof(f9050,plain,
    ( spl3_531
    | ~ spl3_8
    | ~ spl3_80
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1706,f1670,f937,f147,f9048]) ).

fof(f9048,plain,
    ( spl3_531
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_531])]) ).

fof(f1706,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,xm),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_80
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1699,f939]) ).

fof(f1699,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sz00) = sdtasdt0(X0,sdtasdt0(xm,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f149]) ).

fof(f9046,plain,
    ( spl3_530
    | ~ spl3_10
    | ~ spl3_91
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1667,f1616,f994,f157,f9044]) ).

fof(f9044,plain,
    ( spl3_530
  <=> ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_530])]) ).

fof(f1667,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_91
    | ~ spl3_135 ),
    inference(forward_demodulation,[],[f1657,f996]) ).

fof(f1657,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),xn) = sdtpldt0(X0,sdtpldt0(sz00,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f159]) ).

fof(f9042,plain,
    ( spl3_529
    | ~ spl3_10
    | ~ spl3_90
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1654,f1612,f989,f157,f9040]) ).

fof(f9040,plain,
    ( spl3_529
  <=> ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_529])]) ).

fof(f1654,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_90
    | ~ spl3_134 ),
    inference(forward_demodulation,[],[f1644,f991]) ).

fof(f1644,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),xm) = sdtpldt0(X0,sdtpldt0(sz00,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f159]) ).

fof(f9038,plain,
    ( spl3_528
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_113
    | ~ spl3_240 ),
    inference(avatar_split_clause,[],[f3785,f3285,f1368,f702,f112,f9035]) ).

fof(f9035,plain,
    ( spl3_528
  <=> xn = sdtpldt0(sdtpldt0(sK0,sK1),xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_528])]) ).

fof(f3785,plain,
    ( xn = sdtpldt0(sdtpldt0(sK0,sK1),xn)
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_113
    | ~ spl3_240 ),
    inference(forward_demodulation,[],[f3784,f704]) ).

fof(f3784,plain,
    ( sdtpldt0(sK1,xm) = sdtpldt0(sdtpldt0(sK0,sK1),xn)
    | ~ spl3_1
    | ~ spl3_113
    | ~ spl3_240 ),
    inference(forward_demodulation,[],[f3775,f1370]) ).

fof(f3775,plain,
    ( sdtpldt0(sK1,xm) = sdtpldt0(sdtpldt0(sK1,sK0),xn)
    | ~ spl3_1
    | ~ spl3_240 ),
    inference(resolution,[],[f3286,f114]) ).

fof(f9033,plain,
    ( spl3_527
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1643,f1608,f972,f162,f9031]) ).

fof(f9031,plain,
    ( spl3_527
  <=> ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_527])]) ).

fof(f1643,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,sz10),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_87
    | ~ spl3_133 ),
    inference(forward_demodulation,[],[f1633,f974]) ).

fof(f1633,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),xn) = sdtasdt0(X0,sdtasdt0(sz10,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f164]) ).

fof(f9029,plain,
    ( spl3_526
    | ~ spl3_10
    | ~ spl3_83
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1642,f1608,f952,f157,f9027]) ).

fof(f9027,plain,
    ( spl3_526
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_526])]) ).

fof(f1642,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_83
    | ~ spl3_133 ),
    inference(forward_demodulation,[],[f1632,f954]) ).

fof(f1632,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),xn) = sdtasdt0(X0,sdtasdt0(sz00,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f159]) ).

fof(f9025,plain,
    ( spl3_525
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1630,f1604,f967,f162,f9023]) ).

fof(f9023,plain,
    ( spl3_525
  <=> ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_525])]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sz10),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_86
    | ~ spl3_132 ),
    inference(forward_demodulation,[],[f1620,f969]) ).

fof(f1620,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),xm) = sdtasdt0(X0,sdtasdt0(sz10,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f164]) ).

fof(f9021,plain,
    ( spl3_524
    | ~ spl3_10
    | ~ spl3_82
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1629,f1604,f947,f157,f9019]) ).

fof(f9019,plain,
    ( spl3_524
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_524])]) ).

fof(f1629,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_82
    | ~ spl3_132 ),
    inference(forward_demodulation,[],[f1619,f949]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),xm) = sdtasdt0(X0,sdtasdt0(sz00,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f159]) ).

fof(f9017,plain,
    ( spl3_523
    | ~ spl3_9
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1542,f1458,f152,f9015]) ).

fof(f9015,plain,
    ( spl3_523
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_523])]) ).

fof(f1542,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sdtasdt0(xn,X0),sz10) )
    | ~ spl3_9
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f154]) ).

fof(f9013,plain,
    ( spl3_522
    | ~ spl3_8
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1541,f1458,f147,f9011]) ).

fof(f9011,plain,
    ( spl3_522
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_522])]) ).

fof(f1541,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sdtasdt0(xm,X0),sz10) )
    | ~ spl3_8
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f149]) ).

fof(f9009,plain,
    ( spl3_521
    | ~ spl3_9
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1532,f1454,f152,f9007]) ).

fof(f9007,plain,
    ( spl3_521
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_521])]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtasdt0(sz10,sdtasdt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f154]) ).

fof(f9005,plain,
    ( spl3_520
    | ~ spl3_8
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1531,f1454,f147,f9003]) ).

fof(f9003,plain,
    ( spl3_520
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_520])]) ).

fof(f1531,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtasdt0(sz10,sdtasdt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f149]) ).

fof(f9001,plain,
    ( spl3_519
    | ~ spl3_9
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1522,f1450,f152,f8999]) ).

fof(f8999,plain,
    ( spl3_519
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_519])]) ).

fof(f1522,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xn,X0),sz00) )
    | ~ spl3_9
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f154]) ).

fof(f8997,plain,
    ( spl3_518
    | ~ spl3_8
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1521,f1450,f147,f8995]) ).

fof(f8995,plain,
    ( spl3_518
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_518])]) ).

fof(f1521,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sdtasdt0(xm,X0),sz00) )
    | ~ spl3_8
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f149]) ).

fof(f8993,plain,
    ( spl3_517
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_239 ),
    inference(avatar_split_clause,[],[f3763,f3281,f644,f117,f8990]) ).

fof(f3763,plain,
    ( xm = sdtpldt0(sdtpldt0(sK0,sK1),xm)
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_239 ),
    inference(forward_demodulation,[],[f3753,f646]) ).

fof(f3753,plain,
    ( sdtpldt0(sK0,xn) = sdtpldt0(sdtpldt0(sK0,sK1),xm)
    | ~ spl3_2
    | ~ spl3_239 ),
    inference(resolution,[],[f3282,f119]) ).

fof(f8988,plain,
    ( spl3_516
    | ~ spl3_9
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1507,f1446,f152,f8986]) ).

fof(f8986,plain,
    ( spl3_516
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_516])]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,X0) = sdtpldt0(sz00,sdtasdt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f154]) ).

fof(f8984,plain,
    ( spl3_515
    | ~ spl3_8
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1506,f1446,f147,f8982]) ).

fof(f8982,plain,
    ( spl3_515
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_515])]) ).

fof(f1506,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xm,X0) = sdtpldt0(sz00,sdtasdt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f149]) ).

fof(f8980,plain,
    ( spl3_514
    | ~ spl3_9
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1497,f1442,f152,f8978]) ).

fof(f8978,plain,
    ( spl3_514
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_514])]) ).

fof(f1497,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sdtpldt0(xn,X0),sz10) )
    | ~ spl3_9
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f154]) ).

fof(f8976,plain,
    ( spl3_513
    | ~ spl3_8
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1496,f1442,f147,f8974]) ).

fof(f8974,plain,
    ( spl3_513
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_513])]) ).

fof(f1496,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sdtpldt0(xm,X0),sz10) )
    | ~ spl3_8
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f149]) ).

fof(f8972,plain,
    ( spl3_512
    | ~ spl3_9
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1487,f1433,f152,f8970]) ).

fof(f8970,plain,
    ( spl3_512
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_512])]) ).

fof(f1487,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtasdt0(sz10,sdtpldt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f154]) ).

fof(f8968,plain,
    ( spl3_511
    | ~ spl3_8
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1486,f1433,f147,f8966]) ).

fof(f8966,plain,
    ( spl3_511
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_511])]) ).

fof(f1486,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtasdt0(sz10,sdtpldt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f149]) ).

fof(f8964,plain,
    ( spl3_510
    | ~ spl3_9
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1477,f1429,f152,f8962]) ).

fof(f8962,plain,
    ( spl3_510
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_510])]) ).

fof(f1477,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sdtpldt0(xn,X0),sz00) )
    | ~ spl3_9
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f154]) ).

fof(f8960,plain,
    ( spl3_509
    | ~ spl3_8
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1476,f1429,f147,f8958]) ).

fof(f8958,plain,
    ( spl3_509
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_509])]) ).

fof(f1476,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sdtpldt0(xm,X0),sz00) )
    | ~ spl3_8
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f149]) ).

fof(f8956,plain,
    ( spl3_508
    | ~ spl3_9
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1467,f1425,f152,f8954]) ).

fof(f8954,plain,
    ( spl3_508
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_508])]) ).

fof(f1467,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xn,X0) = sdtpldt0(sz00,sdtpldt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f154]) ).

fof(f8952,plain,
    ( spl3_507
    | ~ spl3_8
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1466,f1425,f147,f8950]) ).

fof(f8950,plain,
    ( spl3_507
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_507])]) ).

fof(f1466,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(xm,X0) = sdtpldt0(sz00,sdtpldt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f149]) ).

fof(f8693,plain,
    ( ~ spl3_10
    | spl3_506
    | ~ spl3_11
    | ~ spl3_99
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1784,f1691,f1122,f162,f8690,f157]) ).

fof(f8690,plain,
    ( spl3_506
  <=> sz10 = sdtmndt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_506])]) ).

fof(f1784,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtmndt0(sz10,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_99
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1757]) ).

fof(f1757,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz10 = sdtmndt0(sz10,sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_99
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f1124]) ).

fof(f8685,plain,
    ( ~ spl3_10
    | spl3_505
    | ~ spl3_11
    | ~ spl3_98
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1779,f1691,f1117,f162,f8682,f157]) ).

fof(f8682,plain,
    ( spl3_505
  <=> sz00 = sdtmndt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_505])]) ).

fof(f1779,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz00 = sdtmndt0(sz10,sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_98
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1762]) ).

fof(f1762,plain,
    ( ~ aNaturalNumber0(sz10)
    | sz00 = sdtmndt0(sz10,sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz10)
    | ~ spl3_98
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f1119]) ).

fof(f8680,plain,
    ( spl3_504
    | ~ spl3_13
    | ~ spl3_130 ),
    inference(avatar_split_clause,[],[f1600,f1559,f172,f8678]) ).

fof(f8678,plain,
    ( spl3_504
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_504])]) ).

fof(f1600,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_130 ),
    inference(duplicate_literal_removal,[],[f1593]) ).

fof(f1593,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_130 ),
    inference(resolution,[],[f1560,f173]) ).

fof(f8676,plain,
    ( spl3_503
    | ~ spl3_13
    | ~ spl3_129 ),
    inference(avatar_split_clause,[],[f1585,f1555,f172,f8674]) ).

fof(f8674,plain,
    ( spl3_503
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_503])]) ).

fof(f1585,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00) )
    | ~ spl3_13
    | ~ spl3_129 ),
    inference(duplicate_literal_removal,[],[f1578]) ).

fof(f1578,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_129 ),
    inference(resolution,[],[f1556,f173]) ).

fof(f8672,plain,
    ( spl3_502
    | ~ spl3_13
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1577,f1551,f172,f8670]) ).

fof(f1577,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X0)) )
    | ~ spl3_13
    | ~ spl3_128 ),
    inference(duplicate_literal_removal,[],[f1570]) ).

fof(f1570,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f173]) ).

fof(f8668,plain,
    ( spl3_501
    | ~ spl3_13
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1569,f1547,f172,f8666]) ).

fof(f1569,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X0),sz00) )
    | ~ spl3_13
    | ~ spl3_127 ),
    inference(duplicate_literal_removal,[],[f1562]) ).

fof(f1562,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f173]) ).

fof(f8664,plain,
    ( spl3_500
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_216 ),
    inference(avatar_split_clause,[],[f3458,f3179,f644,f117,f8661]) ).

fof(f8661,plain,
    ( spl3_500
  <=> xm = sdtpldt0(sdtpldt0(sK0,xm),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_500])]) ).

fof(f3458,plain,
    ( xm = sdtpldt0(sdtpldt0(sK0,xm),sK1)
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_216 ),
    inference(forward_demodulation,[],[f3450,f646]) ).

fof(f3450,plain,
    ( sdtpldt0(sK0,xn) = sdtpldt0(sdtpldt0(sK0,xm),sK1)
    | ~ spl3_2
    | ~ spl3_216 ),
    inference(resolution,[],[f3180,f119]) ).

fof(f8659,plain,
    ( spl3_499
    | ~ spl3_11
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1415,f1381,f162,f8657]) ).

fof(f8657,plain,
    ( spl3_499
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_499])]) ).

fof(f1415,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X0),sz00) )
    | ~ spl3_11
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f164]) ).

fof(f8655,plain,
    ( spl3_498
    | ~ spl3_10
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1414,f1381,f157,f8653]) ).

fof(f8653,plain,
    ( spl3_498
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_498])]) ).

fof(f1414,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
    | ~ spl3_10
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f159]) ).

fof(f8651,plain,
    ( spl3_497
    | ~ spl3_11
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1405,f1377,f162,f8649]) ).

fof(f8649,plain,
    ( spl3_497
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_497])]) ).

fof(f1405,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f164]) ).

fof(f8647,plain,
    ( spl3_496
    | ~ spl3_10
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1404,f1377,f157,f8645]) ).

fof(f8645,plain,
    ( spl3_496
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_496])]) ).

fof(f1404,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f159]) ).

fof(f8643,plain,
    ( spl3_495
    | ~ spl3_11
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1395,f1373,f162,f8641]) ).

fof(f8641,plain,
    ( spl3_495
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_495])]) ).

fof(f1395,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) )
    | ~ spl3_11
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f164]) ).

fof(f8639,plain,
    ( spl3_494
    | ~ spl3_10
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1394,f1373,f157,f8637]) ).

fof(f8637,plain,
    ( spl3_494
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_494])]) ).

fof(f1394,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
    | ~ spl3_10
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f159]) ).

fof(f8635,plain,
    ( spl3_493
    | ~ spl3_11
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1385,f1364,f162,f8633]) ).

fof(f8633,plain,
    ( spl3_493
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_493])]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
    | ~ spl3_11
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f164]) ).

fof(f8631,plain,
    ( spl3_492
    | ~ spl3_10
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1384,f1364,f157,f8629]) ).

fof(f8629,plain,
    ( spl3_492
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_492])]) ).

fof(f1384,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
    | ~ spl3_10
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f159]) ).

fof(f8586,plain,
    ( spl3_491
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_214 ),
    inference(avatar_split_clause,[],[f3424,f3171,f702,f112,f8583]) ).

fof(f8583,plain,
    ( spl3_491
  <=> xn = sdtpldt0(sdtpldt0(sK1,xn),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_491])]) ).

fof(f8461,plain,
    ( ~ spl3_10
    | spl3_490
    | ~ spl3_8
    | ~ spl3_90
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1783,f1691,f989,f147,f8458,f157]) ).

fof(f8458,plain,
    ( spl3_490
  <=> xm = sdtmndt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_490])]) ).

fof(f1783,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtmndt0(xm,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_90
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1758]) ).

fof(f1758,plain,
    ( ~ aNaturalNumber0(xm)
    | xm = sdtmndt0(xm,sz00)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_90
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f991]) ).

fof(f8455,plain,
    ( ~ spl3_10
    | spl3_489
    | ~ spl3_9
    | ~ spl3_91
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1782,f1691,f994,f152,f8452,f157]) ).

fof(f1782,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtmndt0(xn,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_91
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1759]) ).

fof(f1759,plain,
    ( ~ aNaturalNumber0(xn)
    | xn = sdtmndt0(xn,sz00)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_91
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f996]) ).

fof(f8441,plain,
    ( ~ spl3_10
    | spl3_488
    | ~ spl3_8
    | ~ spl3_88
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1778,f1691,f977,f147,f8438,f157]) ).

fof(f8438,plain,
    ( spl3_488
  <=> sz00 = sdtmndt0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_488])]) ).

fof(f1778,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = sdtmndt0(xm,xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_88
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1763]) ).

fof(f1763,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = sdtmndt0(xm,xm)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_88
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f979]) ).

fof(f8433,plain,
    ( ~ spl3_10
    | spl3_487
    | ~ spl3_9
    | ~ spl3_89
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1777,f1691,f984,f152,f8430,f157]) ).

fof(f8430,plain,
    ( spl3_487
  <=> sz00 = sdtmndt0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_487])]) ).

fof(f1777,plain,
    ( ~ aNaturalNumber0(xn)
    | sz00 = sdtmndt0(xn,xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_89
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1767]) ).

fof(f1767,plain,
    ( ~ aNaturalNumber0(xn)
    | sz00 = sdtmndt0(xn,xn)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_89
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f986]) ).

fof(f8428,plain,
    ( spl3_486
    | ~ spl3_9
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1420,f1381,f152,f8426]) ).

fof(f8426,plain,
    ( spl3_486
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_486])]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xn,X0),sz00) )
    | ~ spl3_9
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f154]) ).

fof(f8424,plain,
    ( spl3_485
    | ~ spl3_8
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1419,f1381,f147,f8422]) ).

fof(f8422,plain,
    ( spl3_485
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_485])]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(xm,X0),sz00) )
    | ~ spl3_8
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f149]) ).

fof(f8420,plain,
    ( spl3_484
    | ~ spl3_9
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1410,f1377,f152,f8418]) ).

fof(f8418,plain,
    ( spl3_484
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_484])]) ).

fof(f1410,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f154]) ).

fof(f8416,plain,
    ( spl3_483
    | ~ spl3_8
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1409,f1377,f147,f8414]) ).

fof(f8414,plain,
    ( spl3_483
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_483])]) ).

fof(f1409,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f149]) ).

fof(f8412,plain,
    ( spl3_482
    | ~ spl3_9
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1400,f1373,f152,f8410]) ).

fof(f8410,plain,
    ( spl3_482
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_482])]) ).

fof(f1400,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) )
    | ~ spl3_9
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f154]) ).

fof(f8408,plain,
    ( spl3_481
    | ~ spl3_8
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1399,f1373,f147,f8406]) ).

fof(f8406,plain,
    ( spl3_481
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_481])]) ).

fof(f1399,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) )
    | ~ spl3_8
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f149]) ).

fof(f8398,plain,
    ( spl3_480
    | ~ spl3_9
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1390,f1364,f152,f8396]) ).

fof(f8396,plain,
    ( spl3_480
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_480])]) ).

fof(f1390,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) )
    | ~ spl3_9
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f154]) ).

fof(f8394,plain,
    ( spl3_479
    | ~ spl3_8
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1389,f1364,f147,f8392]) ).

fof(f8392,plain,
    ( spl3_479
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_479])]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) )
    | ~ spl3_8
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f149]) ).

fof(f8343,plain,
    ( spl3_478
    | ~ spl3_10
    | ~ spl3_97
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1785,f1691,f1110,f157,f8340]) ).

fof(f8340,plain,
    ( spl3_478
  <=> sz00 = sdtmndt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_478])]) ).

fof(f1785,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtmndt0(sz00,sz00)
    | ~ spl3_97
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1756]) ).

fof(f1756,plain,
    ( ~ aNaturalNumber0(sz00)
    | sz00 = sdtmndt0(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_97
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f1112]) ).

fof(f8338,plain,
    ( spl3_477
    | ~ spl3_11
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1354,f1284,f162,f8335]) ).

fof(f8335,plain,
    ( spl3_477
  <=> sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_477])]) ).

fof(f1354,plain,
    ( sz10 = sdtpldt0(sz10,sdtmndt0(sz10,sz10))
    | ~ spl3_11
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f164]) ).

fof(f8333,plain,
    ( spl3_476
    | ~ spl3_10
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1353,f1284,f157,f8330]) ).

fof(f8330,plain,
    ( spl3_476
  <=> sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_476])]) ).

fof(f1353,plain,
    ( sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00))
    | ~ spl3_10
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f159]) ).

fof(f8322,plain,
    ( spl3_475
    | ~ spl3_11
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1344,f1280,f162,f8319]) ).

fof(f8319,plain,
    ( spl3_475
  <=> sz10 = sdtpldt0(sz10,sK2(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_475])]) ).

fof(f1344,plain,
    ( sz10 = sdtpldt0(sz10,sK2(sz10,sz10))
    | ~ spl3_11
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f164]) ).

fof(f8317,plain,
    ( spl3_474
    | ~ spl3_10
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1343,f1280,f157,f8314]) ).

fof(f8314,plain,
    ( spl3_474
  <=> sz00 = sdtpldt0(sz00,sK2(sz00,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_474])]) ).

fof(f1343,plain,
    ( sz00 = sdtpldt0(sz00,sK2(sz00,sz00))
    | ~ spl3_10
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f159]) ).

fof(f8262,plain,
    ( ~ spl3_10
    | ~ spl3_11
    | spl3_473
    | ~ spl3_31
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f1188,f1122,f337,f8259,f162,f157]) ).

fof(f1188,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_99 ),
    inference(duplicate_literal_removal,[],[f1183]) ).

fof(f1183,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_99 ),
    inference(superposition,[],[f338,f1124]) ).

fof(f8178,plain,
    ( spl3_472
    | ~ spl3_9
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1359,f1284,f152,f8175]) ).

fof(f8175,plain,
    ( spl3_472
  <=> xn = sdtpldt0(xn,sdtmndt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_472])]) ).

fof(f1359,plain,
    ( xn = sdtpldt0(xn,sdtmndt0(xn,xn))
    | ~ spl3_9
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f154]) ).

fof(f8173,plain,
    ( spl3_471
    | ~ spl3_8
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1358,f1284,f147,f8170]) ).

fof(f8170,plain,
    ( spl3_471
  <=> xm = sdtpldt0(xm,sdtmndt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_471])]) ).

fof(f1358,plain,
    ( xm = sdtpldt0(xm,sdtmndt0(xm,xm))
    | ~ spl3_8
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f149]) ).

fof(f8168,plain,
    ( spl3_470
    | ~ spl3_9
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1349,f1280,f152,f8165]) ).

fof(f8165,plain,
    ( spl3_470
  <=> xn = sdtpldt0(xn,sK2(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_470])]) ).

fof(f1349,plain,
    ( xn = sdtpldt0(xn,sK2(xn,xn))
    | ~ spl3_9
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f154]) ).

fof(f8163,plain,
    ( spl3_469
    | ~ spl3_8
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1348,f1280,f147,f8160]) ).

fof(f8160,plain,
    ( spl3_469
  <=> xm = sdtpldt0(xm,sK2(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_469])]) ).

fof(f1348,plain,
    ( xm = sdtpldt0(xm,sK2(xm,xm))
    | ~ spl3_8
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f149]) ).

fof(f8158,plain,
    ( spl3_468
    | ~ spl3_9
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1240,f1203,f152,f8155]) ).

fof(f8155,plain,
    ( spl3_468
  <=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_468])]) ).

fof(f8153,plain,
    ( spl3_467
    | ~ spl3_11
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f1223,f1199,f162,f8150]) ).

fof(f8148,plain,
    ( spl3_466
    | ~ spl3_9
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1216,f1190,f152,f8145]) ).

fof(f8143,plain,
    ( spl3_465
    | ~ spl3_11
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1211,f1190,f162,f8140]) ).

fof(f8138,plain,
    ( spl3_464
    | ~ spl3_1
    | ~ spl3_204 ),
    inference(avatar_split_clause,[],[f2958,f2818,f112,f8135]) ).

fof(f8135,plain,
    ( spl3_464
  <=> sz00 = sdtasdt0(sdtasdt0(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_464])]) ).

fof(f2818,plain,
    ( spl3_204
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_204])]) ).

fof(f2958,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_204 ),
    inference(resolution,[],[f2819,f114]) ).

fof(f2819,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK1,X0),sz00) )
    | ~ spl3_204 ),
    inference(avatar_component_clause,[],[f2818]) ).

fof(f8083,plain,
    ( ~ spl3_10
    | ~ spl3_9
    | spl3_463
    | ~ spl3_31
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f1088,f994,f337,f8080,f152,f157]) ).

fof(f8080,plain,
    ( spl3_463
  <=> sdtlseqdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_463])]) ).

fof(f1088,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_91 ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1083,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_91 ),
    inference(superposition,[],[f338,f996]) ).

fof(f8028,plain,
    ( ~ spl3_10
    | ~ spl3_8
    | spl3_462
    | ~ spl3_31
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1079,f989,f337,f8025,f147,f157]) ).

fof(f1079,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_90 ),
    inference(duplicate_literal_removal,[],[f1074]) ).

fof(f1074,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_90 ),
    inference(superposition,[],[f338,f991]) ).

fof(f7965,plain,
    ( spl3_461
    | ~ spl3_26
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f932,f874,f276,f7963]) ).

fof(f7963,plain,
    ( spl3_461
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sK1,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_461])]) ).

fof(f874,plain,
    ( spl3_78
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK1),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK1,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f932,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sK1,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f277]) ).

fof(f875,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK1,X1)) )
    | ~ spl3_78 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f7961,plain,
    ( spl3_460
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f927,f874,f280,f7959]) ).

fof(f7959,plain,
    ( spl3_460
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sK1,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_460])]) ).

fof(f927,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sK1,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f281]) ).

fof(f7957,plain,
    ( spl3_459
    | ~ spl3_9
    | ~ spl3_204 ),
    inference(avatar_split_clause,[],[f2956,f2818,f152,f7954]) ).

fof(f7954,plain,
    ( spl3_459
  <=> sz00 = sdtasdt0(sdtasdt0(sK1,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_459])]) ).

fof(f2956,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK1,xn),sz00)
    | ~ spl3_9
    | ~ spl3_204 ),
    inference(resolution,[],[f2819,f154]) ).

fof(f7952,plain,
    ( spl3_458
    | ~ spl3_26
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f915,f870,f276,f7950]) ).

fof(f7950,plain,
    ( spl3_458
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sK0,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_458])]) ).

fof(f870,plain,
    ( spl3_77
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK0),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).

fof(f915,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK2(X1,X2)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(sK0,sK2(X1,X2)))
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f277]) ).

fof(f871,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK0,X1)) )
    | ~ spl3_77 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f7948,plain,
    ( spl3_457
    | ~ spl3_27
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f910,f870,f280,f7946]) ).

fof(f7946,plain,
    ( spl3_457
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sK0,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_457])]) ).

fof(f910,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtmndt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(sK0,sdtmndt0(X1,X2)))
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f281]) ).

fof(f7886,plain,
    ( spl3_456
    | ~ spl3_26
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f901,f866,f276,f7884]) ).

fof(f7884,plain,
    ( spl3_456
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_456])]) ).

fof(f866,plain,
    ( spl3_76
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).

fof(f901,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f277]) ).

fof(f867,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_76 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f7882,plain,
    ( spl3_455
    | ~ spl3_27
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f896,f866,f280,f7880]) ).

fof(f7880,plain,
    ( spl3_455
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_455])]) ).

fof(f896,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f281]) ).

fof(f7878,plain,
    ( spl3_454
    | ~ spl3_26
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f886,f862,f276,f7876]) ).

fof(f7876,plain,
    ( spl3_454
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_454])]) ).

fof(f862,plain,
    ( spl3_75
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK0)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).

fof(f886,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sK2(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sK2(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f277]) ).

fof(f863,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,sdtpldt0(X1,sK0)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_75 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f7874,plain,
    ( spl3_453
    | ~ spl3_27
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f881,f862,f280,f7872]) ).

fof(f7872,plain,
    ( spl3_453
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_453])]) ).

fof(f881,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f281]) ).

fof(f7870,plain,
    ( spl3_452
    | ~ spl3_8
    | ~ spl3_204 ),
    inference(avatar_split_clause,[],[f2955,f2818,f147,f7867]) ).

fof(f7867,plain,
    ( spl3_452
  <=> sz00 = sdtasdt0(sdtasdt0(sK1,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_452])]) ).

fof(f2955,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK1,xm),sz00)
    | ~ spl3_8
    | ~ spl3_204 ),
    inference(resolution,[],[f2819,f149]) ).

fof(f7808,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_451
    | ~ spl3_4
    | ~ spl3_189 ),
    inference(avatar_split_clause,[],[f2491,f2450,f127,f7806,f147,f152]) ).

fof(f7806,plain,
    ( spl3_451
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK2(xn,xm)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(xn,xm),X1))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_451])]) ).

fof(f127,plain,
    ( spl3_4
  <=> sdtlseqdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f2491,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(xn,xm)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(xn,xm),X1))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_4
    | ~ spl3_189 ),
    inference(resolution,[],[f2451,f129]) ).

fof(f129,plain,
    ( sdtlseqdt0(xn,xm)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f7803,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_450
    | ~ spl3_3
    | ~ spl3_189 ),
    inference(avatar_split_clause,[],[f2490,f2450,f122,f7801,f152,f147]) ).

fof(f7801,plain,
    ( spl3_450
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK2(xm,xn)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(xm,xn),X1))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_450])]) ).

fof(f122,plain,
    ( spl3_3
  <=> sdtlseqdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f2490,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtpldt0(X0,sK2(xm,xn)),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK2(xm,xn),X1))
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_3
    | ~ spl3_189 ),
    inference(resolution,[],[f2451,f124]) ).

fof(f124,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f7798,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_449
    | ~ spl3_4
    | ~ spl3_187 ),
    inference(avatar_split_clause,[],[f2473,f2442,f127,f7796,f147,f152]) ).

fof(f7796,plain,
    ( spl3_449
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(xn,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(xn,xm)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_449])]) ).

fof(f2473,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(xn,xm))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(xn,xm)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_4
    | ~ spl3_187 ),
    inference(resolution,[],[f2443,f129]) ).

fof(f7793,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_448
    | ~ spl3_3
    | ~ spl3_187 ),
    inference(avatar_split_clause,[],[f2472,f2442,f122,f7791,f152,f147]) ).

fof(f7791,plain,
    ( spl3_448
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(xm,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(xm,xn)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_448])]) ).

fof(f2472,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sK2(xm,xn))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sK2(xm,xn)))
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_3
    | ~ spl3_187 ),
    inference(resolution,[],[f2443,f124]) ).

fof(f7789,plain,
    ( spl3_447
    | ~ spl3_22
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f926,f874,f245,f7787]) ).

fof(f7787,plain,
    ( spl3_447
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sK1,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_447])]) ).

fof(f926,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sK1,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f246]) ).

fof(f7785,plain,
    ( spl3_446
    | ~ spl3_21
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f925,f874,f241,f7783]) ).

fof(f7783,plain,
    ( spl3_446
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sK1,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_446])]) ).

fof(f925,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sK1,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f242]) ).

fof(f7781,plain,
    ( spl3_445
    | ~ spl3_22
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f909,f870,f245,f7779]) ).

fof(f7779,plain,
    ( spl3_445
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sK0,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_445])]) ).

fof(f909,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sK0,sdtasdt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f246]) ).

fof(f7777,plain,
    ( spl3_444
    | ~ spl3_21
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f908,f870,f241,f7775]) ).

fof(f7775,plain,
    ( spl3_444
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sK0,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_444])]) ).

fof(f908,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sK0,sdtpldt0(X1,X2)))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f242]) ).

fof(f7683,plain,
    ( spl3_443
    | ~ spl3_20
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6323,f6314,f212,f7680]) ).

fof(f7680,plain,
    ( spl3_443
  <=> sK1 = sdtasdt0(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_443])]) ).

fof(f212,plain,
    ( spl3_20
  <=> sz00 = sdtasdt0(sK0,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f6323,plain,
    ( sK1 = sdtasdt0(sK0,sK1)
    | ~ spl3_20
    | ~ spl3_370 ),
    inference(superposition,[],[f214,f6316]) ).

fof(f214,plain,
    ( sz00 = sdtasdt0(sK0,sz00)
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f7644,plain,
    ( spl3_442
    | ~ spl3_26
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f856,f792,f276,f7642]) ).

fof(f7642,plain,
    ( spl3_442
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_442])]) ).

fof(f792,plain,
    ( spl3_74
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(X0,sdtpldt0(X1,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f856,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f277]) ).

fof(f793,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(X0,sdtpldt0(X1,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_74 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f7640,plain,
    ( spl3_441
    | ~ spl3_27
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f851,f792,f280,f7638]) ).

fof(f7638,plain,
    ( spl3_441
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_441])]) ).

fof(f851,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f281]) ).

fof(f7636,plain,
    ( spl3_440
    | ~ spl3_26
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f841,f788,f276,f7634]) ).

fof(f7634,plain,
    ( spl3_440
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_440])]) ).

fof(f788,plain,
    ( spl3_73
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(X0,sdtpldt0(X1,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).

fof(f841,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sK2(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sK2(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f277]) ).

fof(f789,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(X0,sdtpldt0(X1,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_73 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f7632,plain,
    ( spl3_439
    | ~ spl3_27
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f836,f788,f280,f7630]) ).

fof(f7630,plain,
    ( spl3_439
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_439])]) ).

fof(f836,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtmndt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtmndt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f281]) ).

fof(f7628,plain,
    ( spl3_438
    | ~ spl3_26
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f827,f784,f276,f7626]) ).

fof(f7626,plain,
    ( spl3_438
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_438])]) ).

fof(f784,plain,
    ( spl3_72
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(X0,sdtasdt0(X1,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f827,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f277]) ).

fof(f785,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(X0,sdtasdt0(X1,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_72 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f7624,plain,
    ( spl3_437
    | ~ spl3_27
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f822,f784,f280,f7622]) ).

fof(f7622,plain,
    ( spl3_437
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_437])]) ).

fof(f822,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f281]) ).

fof(f7620,plain,
    ( spl3_436
    | ~ spl3_26
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f804,f780,f276,f7618]) ).

fof(f7618,plain,
    ( spl3_436
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_436])]) ).

fof(f780,plain,
    ( spl3_71
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(X0,sdtasdt0(X1,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f804,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sK2(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sK2(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f277]) ).

fof(f781,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(X0,sdtasdt0(X1,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_71 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f7616,plain,
    ( spl3_435
    | ~ spl3_27
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f799,f780,f280,f7614]) ).

fof(f7614,plain,
    ( spl3_435
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_435])]) ).

fof(f799,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtmndt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtmndt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_27
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f281]) ).

fof(f7331,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_434
    | ~ spl3_4
    | ~ spl3_185 ),
    inference(avatar_split_clause,[],[f2434,f2398,f127,f7329,f147,f152]) ).

fof(f7329,plain,
    ( spl3_434
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(xn,xm)) = sdtpldt0(X1,sdtpldt0(X0,sK2(xn,xm)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_434])]) ).

fof(f2434,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(xn,xm)) = sdtpldt0(X1,sdtpldt0(X0,sK2(xn,xm)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_4
    | ~ spl3_185 ),
    inference(resolution,[],[f2399,f129]) ).

fof(f7326,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_433
    | ~ spl3_3
    | ~ spl3_185 ),
    inference(avatar_split_clause,[],[f2433,f2398,f122,f7324,f152,f147]) ).

fof(f7324,plain,
    ( spl3_433
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(xm,xn)) = sdtpldt0(X1,sdtpldt0(X0,sK2(xm,xn)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_433])]) ).

fof(f2433,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sK2(xm,xn)) = sdtpldt0(X1,sdtpldt0(X0,sK2(xm,xn)))
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_3
    | ~ spl3_185 ),
    inference(resolution,[],[f2399,f124]) ).

fof(f7321,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_432
    | ~ spl3_4
    | ~ spl3_182 ),
    inference(avatar_split_clause,[],[f2416,f2385,f127,f7319,f147,f152]) ).

fof(f7319,plain,
    ( spl3_432
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(xn,xm)) = sdtasdt0(X1,sdtasdt0(X0,sK2(xn,xm)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_432])]) ).

fof(f2416,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(xn,xm)) = sdtasdt0(X1,sdtasdt0(X0,sK2(xn,xm)))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_4
    | ~ spl3_182 ),
    inference(resolution,[],[f2386,f129]) ).

fof(f7316,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_431
    | ~ spl3_3
    | ~ spl3_182 ),
    inference(avatar_split_clause,[],[f2415,f2385,f122,f7314,f152,f147]) ).

fof(f7314,plain,
    ( spl3_431
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(xm,xn)) = sdtasdt0(X1,sdtasdt0(X0,sK2(xm,xn)))
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_431])]) ).

fof(f2415,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sK2(xm,xn)) = sdtasdt0(X1,sdtasdt0(X0,sK2(xm,xn)))
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_3
    | ~ spl3_182 ),
    inference(resolution,[],[f2386,f124]) ).

fof(f7312,plain,
    ( spl3_430
    | ~ spl3_1
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2378,f2337,f112,f7310]) ).

fof(f7310,plain,
    ( spl3_430
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_430])]) ).

fof(f2378,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f114]) ).

fof(f7308,plain,
    ( spl3_429
    | ~ spl3_2
    | ~ spl3_180 ),
    inference(avatar_split_clause,[],[f2377,f2337,f117,f7306]) ).

fof(f7306,plain,
    ( spl3_429
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_429])]) ).

fof(f2377,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_180 ),
    inference(resolution,[],[f2338,f119]) ).

fof(f7304,plain,
    ( spl3_428
    | ~ spl3_1
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2368,f2333,f112,f7302]) ).

fof(f7302,plain,
    ( spl3_428
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_428])]) ).

fof(f2368,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f114]) ).

fof(f7300,plain,
    ( spl3_427
    | ~ spl3_2
    | ~ spl3_179 ),
    inference(avatar_split_clause,[],[f2367,f2333,f117,f7298]) ).

fof(f7298,plain,
    ( spl3_427
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_427])]) ).

fof(f2367,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_179 ),
    inference(resolution,[],[f2334,f119]) ).

fof(f7243,plain,
    ( spl3_426
    | ~ spl3_1
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2358,f2329,f112,f7241]) ).

fof(f7241,plain,
    ( spl3_426
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK1))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_426])]) ).

fof(f2358,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK1))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f114]) ).

fof(f7239,plain,
    ( spl3_425
    | ~ spl3_2
    | ~ spl3_178 ),
    inference(avatar_split_clause,[],[f2357,f2329,f117,f7237]) ).

fof(f7237,plain,
    ( spl3_425
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK0))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_425])]) ).

fof(f2357,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK0))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_178 ),
    inference(resolution,[],[f2330,f119]) ).

fof(f7235,plain,
    ( spl3_424
    | ~ spl3_1
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2348,f2320,f112,f7233]) ).

fof(f7233,plain,
    ( spl3_424
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK1))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_424])]) ).

fof(f2348,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK1))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f114]) ).

fof(f7231,plain,
    ( spl3_423
    | ~ spl3_2
    | ~ spl3_176 ),
    inference(avatar_split_clause,[],[f2347,f2320,f117,f7229]) ).

fof(f7229,plain,
    ( spl3_423
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK0))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_423])]) ).

fof(f2347,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK0))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_176 ),
    inference(resolution,[],[f2321,f119]) ).

fof(f7227,plain,
    ( spl3_422
    | ~ spl3_22
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f895,f866,f245,f7225]) ).

fof(f7225,plain,
    ( spl3_422
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_422])]) ).

fof(f895,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f246]) ).

fof(f7223,plain,
    ( spl3_421
    | ~ spl3_21
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f894,f866,f241,f7221]) ).

fof(f7221,plain,
    ( spl3_421
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_421])]) ).

fof(f894,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK1)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f242]) ).

fof(f7219,plain,
    ( spl3_420
    | ~ spl3_22
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f880,f862,f245,f7217]) ).

fof(f7217,plain,
    ( spl3_420
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_420])]) ).

fof(f880,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f246]) ).

fof(f7215,plain,
    ( spl3_419
    | ~ spl3_21
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f879,f862,f241,f7213]) ).

fof(f7213,plain,
    ( spl3_419
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_419])]) ).

fof(f879,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK0)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f242]) ).

fof(f6907,plain,
    ( spl3_418
    | ~ spl3_1
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2317,f2276,f112,f6905]) ).

fof(f6905,plain,
    ( spl3_418
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK1)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_418])]) ).

fof(f2317,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK1)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f114]) ).

fof(f6903,plain,
    ( spl3_417
    | ~ spl3_2
    | ~ spl3_175 ),
    inference(avatar_split_clause,[],[f2316,f2276,f117,f6901]) ).

fof(f6901,plain,
    ( spl3_417
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK0)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_417])]) ).

fof(f2316,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sK0)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_175 ),
    inference(resolution,[],[f2277,f119]) ).

fof(f6899,plain,
    ( spl3_416
    | ~ spl3_1
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2307,f2272,f112,f6897]) ).

fof(f6897,plain,
    ( spl3_416
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK1)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_416])]) ).

fof(f2307,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK1)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f114]) ).

fof(f6895,plain,
    ( spl3_415
    | ~ spl3_2
    | ~ spl3_174 ),
    inference(avatar_split_clause,[],[f2306,f2272,f117,f6893]) ).

fof(f6893,plain,
    ( spl3_415
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK0)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_415])]) ).

fof(f2306,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sK0)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_174 ),
    inference(resolution,[],[f2273,f119]) ).

fof(f6891,plain,
    ( spl3_414
    | ~ spl3_1
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2297,f2268,f112,f6889]) ).

fof(f6889,plain,
    ( spl3_414
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK1)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_414])]) ).

fof(f2297,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK1)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f114]) ).

fof(f6887,plain,
    ( spl3_413
    | ~ spl3_2
    | ~ spl3_173 ),
    inference(avatar_split_clause,[],[f2296,f2268,f117,f6885]) ).

fof(f6885,plain,
    ( spl3_413
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK0)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_413])]) ).

fof(f2296,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sK0)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_173 ),
    inference(resolution,[],[f2269,f119]) ).

fof(f6883,plain,
    ( ~ spl3_412
    | spl3_367
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6355,f6314,f6294,f6880]) ).

fof(f6294,plain,
    ( spl3_367
  <=> sz00 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_367])]) ).

fof(f6355,plain,
    ( sK0 != sK1
    | spl3_367
    | ~ spl3_370 ),
    inference(superposition,[],[f6295,f6316]) ).

fof(f6295,plain,
    ( sz00 != sK0
    | spl3_367 ),
    inference(avatar_component_clause,[],[f6294]) ).

fof(f6878,plain,
    ( spl3_411
    | ~ spl3_1
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2287,f2264,f112,f6876]) ).

fof(f6876,plain,
    ( spl3_411
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK1)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_411])]) ).

fof(f2287,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK1)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK1)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_1
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f114]) ).

fof(f6874,plain,
    ( spl3_410
    | ~ spl3_2
    | ~ spl3_172 ),
    inference(avatar_split_clause,[],[f2286,f2264,f117,f6872]) ).

fof(f6872,plain,
    ( spl3_410
  <=> ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK0)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_410])]) ).

fof(f2286,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sK0)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sK0)))
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_2
    | ~ spl3_172 ),
    inference(resolution,[],[f2265,f119]) ).

fof(f6870,plain,
    ( spl3_409
    | ~ spl3_22
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f850,f792,f245,f6868]) ).

fof(f6868,plain,
    ( spl3_409
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_409])]) ).

fof(f850,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f246]) ).

fof(f6866,plain,
    ( spl3_408
    | ~ spl3_21
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f849,f792,f241,f6864]) ).

fof(f6864,plain,
    ( spl3_408
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_408])]) ).

fof(f849,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK1) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f242]) ).

fof(f6862,plain,
    ( spl3_407
    | ~ spl3_22
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f835,f788,f245,f6860]) ).

fof(f6860,plain,
    ( spl3_407
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_407])]) ).

fof(f835,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f246]) ).

fof(f6858,plain,
    ( spl3_406
    | ~ spl3_21
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f834,f788,f241,f6856]) ).

fof(f6856,plain,
    ( spl3_406
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_406])]) ).

fof(f834,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sK0) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f242]) ).

fof(f6775,plain,
    ( ~ spl3_1
    | spl3_370
    | ~ spl3_11
    | spl3_405
    | ~ spl3_41
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f549,f489,f424,f6773,f162,f6314,f112]) ).

fof(f6773,plain,
    ( spl3_405
  <=> ! [X0] :
        ( sK1 != sdtasdt0(X0,sK1)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_405])]) ).

fof(f549,plain,
    ( ! [X0] :
        ( sK1 != sdtasdt0(X0,sK1)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK1
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_41
    | ~ spl3_48 ),
    inference(superposition,[],[f425,f491]) ).

fof(f6751,plain,
    ( spl3_404
    | ~ spl3_92
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6342,f6314,f1041,f6748]) ).

fof(f6342,plain,
    ( sdtlseqdt0(sK1,sK1)
    | ~ spl3_92
    | ~ spl3_370 ),
    inference(superposition,[],[f1043,f6316]) ).

fof(f6746,plain,
    ( spl3_403
    | ~ spl3_22
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f821,f784,f245,f6744]) ).

fof(f6744,plain,
    ( spl3_403
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_403])]) ).

fof(f821,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f246]) ).

fof(f6742,plain,
    ( spl3_402
    | ~ spl3_21
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f820,f784,f241,f6740]) ).

fof(f6740,plain,
    ( spl3_402
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_402])]) ).

fof(f820,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sK1) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sK1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f242]) ).

fof(f6738,plain,
    ( spl3_401
    | ~ spl3_22
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f798,f780,f245,f6736]) ).

fof(f6736,plain,
    ( spl3_401
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_401])]) ).

fof(f798,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f246]) ).

fof(f6734,plain,
    ( spl3_400
    | ~ spl3_21
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f797,f780,f241,f6732]) ).

fof(f6732,plain,
    ( spl3_400
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_400])]) ).

fof(f797,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sK0) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f242]) ).

fof(f6664,plain,
    ( spl3_399
    | ~ spl3_79
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6333,f6314,f919,f6661]) ).

fof(f6661,plain,
    ( spl3_399
  <=> sdtlseqdt0(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_399])]) ).

fof(f6333,plain,
    ( sdtlseqdt0(sK1,sK0)
    | ~ spl3_79
    | ~ spl3_370 ),
    inference(superposition,[],[f921,f6316]) ).

fof(f6636,plain,
    ( ~ spl3_396
    | ~ spl3_9
    | spl3_398
    | ~ spl3_36
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f725,f715,f371,f6634,f152,f6567]) ).

fof(f6567,plain,
    ( spl3_396
  <=> aNaturalNumber0(sdtmndt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_396])]) ).

fof(f6634,plain,
    ( spl3_398
  <=> ! [X0] :
        ( xm != sdtpldt0(X0,sdtmndt0(xm,xn))
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_398])]) ).

fof(f715,plain,
    ( spl3_64
  <=> xm = sdtpldt0(xn,sdtmndt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).

fof(f725,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,sdtmndt0(xm,xn))
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sdtmndt0(xm,xn)) )
    | ~ spl3_36
    | ~ spl3_64 ),
    inference(superposition,[],[f372,f717]) ).

fof(f717,plain,
    ( xm = sdtpldt0(xn,sdtmndt0(xm,xn))
    | ~ spl3_64 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f6575,plain,
    ( ~ spl3_2
    | ~ spl3_70
    | spl3_396 ),
    inference(avatar_split_clause,[],[f6574,f6567,f773,f117]) ).

fof(f773,plain,
    ( spl3_70
  <=> sK0 = sdtmndt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f6574,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ spl3_70
    | spl3_396 ),
    inference(forward_demodulation,[],[f6569,f775]) ).

fof(f775,plain,
    ( sK0 = sdtmndt0(xm,xn)
    | ~ spl3_70 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f6569,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xm,xn))
    | spl3_396 ),
    inference(avatar_component_clause,[],[f6567]) ).

fof(f6573,plain,
    ( ~ spl3_9
    | ~ spl3_396
    | spl3_397
    | ~ spl3_35
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f723,f715,f367,f6571,f6567,f152]) ).

fof(f6571,plain,
    ( spl3_397
  <=> ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(xm,xn) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_397])]) ).

fof(f723,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | sdtmndt0(xm,xn) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtmndt0(xm,xn))
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_35
    | ~ spl3_64 ),
    inference(superposition,[],[f368,f717]) ).

fof(f6564,plain,
    ( ~ spl3_393
    | ~ spl3_8
    | spl3_395
    | ~ spl3_36
    | ~ spl3_62 ),
    inference(avatar_split_clause,[],[f712,f697,f371,f6562,f147,f6468]) ).

fof(f6468,plain,
    ( spl3_393
  <=> aNaturalNumber0(sdtmndt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_393])]) ).

fof(f6562,plain,
    ( spl3_395
  <=> ! [X0] :
        ( xn != sdtpldt0(X0,sdtmndt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_395])]) ).

fof(f697,plain,
    ( spl3_62
  <=> xn = sdtpldt0(xm,sdtmndt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f712,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,sdtmndt0(xn,xm))
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sdtmndt0(xn,xm)) )
    | ~ spl3_36
    | ~ spl3_62 ),
    inference(superposition,[],[f372,f699]) ).

fof(f699,plain,
    ( xn = sdtpldt0(xm,sdtmndt0(xn,xm))
    | ~ spl3_62 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f6476,plain,
    ( ~ spl3_1
    | ~ spl3_69
    | spl3_393 ),
    inference(avatar_split_clause,[],[f6475,f6468,f766,f112]) ).

fof(f766,plain,
    ( spl3_69
  <=> sK1 = sdtmndt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f6475,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ spl3_69
    | spl3_393 ),
    inference(forward_demodulation,[],[f6470,f768]) ).

fof(f768,plain,
    ( sK1 = sdtmndt0(xn,xm)
    | ~ spl3_69 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f6470,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xn,xm))
    | spl3_393 ),
    inference(avatar_component_clause,[],[f6468]) ).

fof(f6474,plain,
    ( ~ spl3_8
    | ~ spl3_393
    | spl3_394
    | ~ spl3_35
    | ~ spl3_62 ),
    inference(avatar_split_clause,[],[f710,f697,f367,f6472,f6468,f147]) ).

fof(f6472,plain,
    ( spl3_394
  <=> ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(xn,xm) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_394])]) ).

fof(f710,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | sdtmndt0(xn,xm) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sdtmndt0(xn,xm))
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_35
    | ~ spl3_62 ),
    inference(superposition,[],[f368,f699]) ).

fof(f6465,plain,
    ( ~ spl3_196
    | ~ spl3_9
    | spl3_392
    | ~ spl3_36
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f694,f684,f371,f6463,f152,f2617]) ).

fof(f2617,plain,
    ( spl3_196
  <=> aNaturalNumber0(sK2(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_196])]) ).

fof(f6463,plain,
    ( spl3_392
  <=> ! [X0] :
        ( xm != sdtpldt0(X0,sK2(xn,xm))
        | ~ aNaturalNumber0(X0)
        | xn = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_392])]) ).

fof(f684,plain,
    ( spl3_61
  <=> xm = sdtpldt0(xn,sK2(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f694,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,sK2(xn,xm))
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sK2(xn,xm)) )
    | ~ spl3_36
    | ~ spl3_61 ),
    inference(superposition,[],[f372,f686]) ).

fof(f686,plain,
    ( xm = sdtpldt0(xn,sK2(xn,xm))
    | ~ spl3_61 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f6460,plain,
    ( ~ spl3_9
    | ~ spl3_196
    | spl3_391
    | ~ spl3_35
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f692,f684,f367,f6458,f2617,f152]) ).

fof(f6458,plain,
    ( spl3_391
  <=> ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | ~ aNaturalNumber0(X0)
        | sK2(xn,xm) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_391])]) ).

fof(f692,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | sK2(xn,xm) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(xn,xm))
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_35
    | ~ spl3_61 ),
    inference(superposition,[],[f368,f686]) ).

fof(f6456,plain,
    ( ~ spl3_390
    | spl3_59
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6332,f6314,f666,f6453]) ).

fof(f6453,plain,
    ( spl3_390
  <=> xm = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_390])]) ).

fof(f6332,plain,
    ( xm != sK1
    | spl3_59
    | ~ spl3_370 ),
    inference(superposition,[],[f668,f6316]) ).

fof(f668,plain,
    ( sz00 != xm
    | spl3_59 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f6450,plain,
    ( ~ spl3_194
    | ~ spl3_8
    | spl3_389
    | ~ spl3_36
    | ~ spl3_60 ),
    inference(avatar_split_clause,[],[f681,f671,f371,f6448,f147,f2607]) ).

fof(f2607,plain,
    ( spl3_194
  <=> aNaturalNumber0(sK2(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_194])]) ).

fof(f6448,plain,
    ( spl3_389
  <=> ! [X0] :
        ( xn != sdtpldt0(X0,sK2(xm,xn))
        | ~ aNaturalNumber0(X0)
        | xm = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_389])]) ).

fof(f671,plain,
    ( spl3_60
  <=> xn = sdtpldt0(xm,sK2(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f681,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,sK2(xm,xn))
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sK2(xm,xn)) )
    | ~ spl3_36
    | ~ spl3_60 ),
    inference(superposition,[],[f372,f673]) ).

fof(f673,plain,
    ( xn = sdtpldt0(xm,sK2(xm,xn))
    | ~ spl3_60 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f6445,plain,
    ( ~ spl3_8
    | ~ spl3_194
    | spl3_388
    | ~ spl3_35
    | ~ spl3_60 ),
    inference(avatar_split_clause,[],[f679,f671,f367,f6443,f2607,f147]) ).

fof(f6443,plain,
    ( spl3_388
  <=> ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0)
        | sK2(xm,xn) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_388])]) ).

fof(f679,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | sK2(xm,xn) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(xm,xn))
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_35
    | ~ spl3_60 ),
    inference(superposition,[],[f368,f673]) ).

fof(f6441,plain,
    ( spl3_387
    | ~ spl3_26
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f657,f604,f276,f6439]) ).

fof(f6439,plain,
    ( spl3_387
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sK1) = sdtasdt0(sK1,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_387])]) ).

fof(f604,plain,
    ( spl3_56
  <=> ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f657,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sK1) = sdtasdt0(sK1,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f277]) ).

fof(f605,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0) )
    | ~ spl3_56 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f6437,plain,
    ( spl3_386
    | ~ spl3_27
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f652,f604,f280,f6435]) ).

fof(f6435,plain,
    ( spl3_386
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sK1) = sdtasdt0(sK1,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_386])]) ).

fof(f652,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sK1) = sdtasdt0(sK1,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f281]) ).

fof(f6433,plain,
    ( spl3_385
    | ~ spl3_26
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f640,f600,f276,f6431]) ).

fof(f6431,plain,
    ( spl3_385
  <=> ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sK0) = sdtasdt0(sK0,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_385])]) ).

fof(f600,plain,
    ( spl3_55
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).

fof(f640,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sK2(X0,X1),sK0) = sdtasdt0(sK0,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f277]) ).

fof(f601,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0) )
    | ~ spl3_55 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f6429,plain,
    ( spl3_384
    | ~ spl3_27
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f635,f600,f280,f6427]) ).

fof(f6427,plain,
    ( spl3_384
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sK0) = sdtasdt0(sK0,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_384])]) ).

fof(f635,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtmndt0(X0,X1),sK0) = sdtasdt0(sK0,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f281]) ).

fof(f6425,plain,
    ( spl3_383
    | ~ spl3_26
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f628,f596,f276,f6423]) ).

fof(f6423,plain,
    ( spl3_383
  <=> ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sK1) = sdtpldt0(sK1,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_383])]) ).

fof(f596,plain,
    ( spl3_54
  <=> ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).

fof(f628,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sK1) = sdtpldt0(sK1,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f277]) ).

fof(f597,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) )
    | ~ spl3_54 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f6421,plain,
    ( spl3_382
    | ~ spl3_27
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f623,f596,f280,f6419]) ).

fof(f6419,plain,
    ( spl3_382
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sK1) = sdtpldt0(sK1,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_382])]) ).

fof(f623,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sK1) = sdtpldt0(sK1,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f281]) ).

fof(f6417,plain,
    ( spl3_381
    | ~ spl3_26
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f616,f592,f276,f6415]) ).

fof(f6415,plain,
    ( spl3_381
  <=> ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sK0) = sdtpldt0(sK0,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_381])]) ).

fof(f592,plain,
    ( spl3_53
  <=> ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sK0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).

fof(f616,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sK2(X0,X1),sK0) = sdtpldt0(sK0,sK2(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_26
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f277]) ).

fof(f593,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK0) = sdtpldt0(sK0,X0) )
    | ~ spl3_53 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f6413,plain,
    ( spl3_380
    | ~ spl3_27
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f611,f592,f280,f6411]) ).

fof(f6411,plain,
    ( spl3_380
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sK0) = sdtpldt0(sK0,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_380])]) ).

fof(f611,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtmndt0(X0,X1),sK0) = sdtpldt0(sK0,sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_27
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f281]) ).

fof(f6409,plain,
    ( ~ spl3_379
    | spl3_12
    | ~ spl3_370 ),
    inference(avatar_split_clause,[],[f6322,f6314,f167,f6406]) ).

fof(f6322,plain,
    ( sz10 != sK1
    | spl3_12
    | ~ spl3_370 ),
    inference(superposition,[],[f169,f6316]) ).

fof(f169,plain,
    ( sz00 != sz10
    | spl3_12 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f6403,plain,
    ( spl3_378
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_168 ),
    inference(avatar_split_clause,[],[f2235,f2211,f127,f147,f152,f6401]) ).

fof(f6401,plain,
    ( spl3_378
  <=> ! [X0] :
        ( sdtasdt0(X0,sK2(xn,xm)) = sdtasdt0(sK2(xn,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_378])]) ).

fof(f2235,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn)
        | sdtasdt0(X0,sK2(xn,xm)) = sdtasdt0(sK2(xn,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_4
    | ~ spl3_168 ),
    inference(resolution,[],[f2212,f129]) ).

fof(f6398,plain,
    ( spl3_377
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_168 ),
    inference(avatar_split_clause,[],[f2234,f2211,f122,f152,f147,f6396]) ).

fof(f6396,plain,
    ( spl3_377
  <=> ! [X0] :
        ( sdtasdt0(X0,sK2(xm,xn)) = sdtasdt0(sK2(xm,xn),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_377])]) ).

fof(f2234,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm)
        | sdtasdt0(X0,sK2(xm,xn)) = sdtasdt0(sK2(xm,xn),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_3
    | ~ spl3_168 ),
    inference(resolution,[],[f2212,f124]) ).

fof(f6393,plain,
    ( spl3_376
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_167 ),
    inference(avatar_split_clause,[],[f2227,f2207,f127,f147,f152,f6391]) ).

fof(f6391,plain,
    ( spl3_376
  <=> ! [X0] :
        ( sdtpldt0(X0,sK2(xn,xm)) = sdtpldt0(sK2(xn,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_376])]) ).

fof(f2227,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xn)
        | sdtpldt0(X0,sK2(xn,xm)) = sdtpldt0(sK2(xn,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_4
    | ~ spl3_167 ),
    inference(resolution,[],[f2208,f129]) ).

fof(f6388,plain,
    ( spl3_375
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_167 ),
    inference(avatar_split_clause,[],[f2226,f2207,f122,f152,f147,f6386]) ).

fof(f6386,plain,
    ( spl3_375
  <=> ! [X0] :
        ( sdtpldt0(X0,sK2(xm,xn)) = sdtpldt0(sK2(xm,xn),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_375])]) ).

fof(f2226,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(xm)
        | sdtpldt0(X0,sK2(xm,xn)) = sdtpldt0(sK2(xm,xn),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_3
    | ~ spl3_167 ),
    inference(resolution,[],[f2208,f124]) ).

fof(f6378,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_1
    | spl3_374
    | ~ spl3_40
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f551,f489,f420,f6376,f112,f167,f162]) ).

fof(f6376,plain,
    ( spl3_374
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != sK1
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_374])]) ).

fof(f551,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != sK1
        | sK1 = X0
        | ~ aNaturalNumber0(sK1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_40
    | ~ spl3_48 ),
    inference(superposition,[],[f421,f491]) ).

fof(f6368,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_2
    | spl3_373
    | ~ spl3_40
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f545,f484,f420,f6366,f117,f167,f162]) ).

fof(f6366,plain,
    ( spl3_373
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) != sK0
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_373])]) ).

fof(f545,plain,
    ( ! [X0] :
        ( sdtasdt0(sz10,X0) != sK0
        | sK0 = X0
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_40
    | ~ spl3_47 ),
    inference(superposition,[],[f421,f486]) ).

fof(f6359,plain,
    ( ~ spl3_2
    | spl3_367
    | ~ spl3_11
    | spl3_372
    | ~ spl3_41
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f543,f484,f424,f6357,f162,f6294,f117]) ).

fof(f6357,plain,
    ( spl3_372
  <=> ! [X0] :
        ( sK0 != sdtasdt0(X0,sK0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_372])]) ).

fof(f543,plain,
    ( ! [X0] :
        ( sK0 != sdtasdt0(X0,sK0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK0
        | ~ aNaturalNumber0(sK0) )
    | ~ spl3_41
    | ~ spl3_47 ),
    inference(superposition,[],[f425,f486]) ).

fof(f6320,plain,
    ( ~ spl3_1
    | spl3_370
    | ~ spl3_11
    | spl3_371
    | ~ spl3_40
    | ~ spl3_46 ),
    inference(avatar_split_clause,[],[f539,f479,f420,f6318,f162,f6314,f112]) ).

fof(f6318,plain,
    ( spl3_371
  <=> ! [X0] :
        ( sK1 != sdtasdt0(sK1,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_371])]) ).

fof(f539,plain,
    ( ! [X0] :
        ( sK1 != sdtasdt0(sK1,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK1
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_40
    | ~ spl3_46 ),
    inference(superposition,[],[f421,f481]) ).

fof(f6306,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_1
    | spl3_369
    | ~ spl3_41
    | ~ spl3_46 ),
    inference(avatar_split_clause,[],[f537,f479,f424,f6304,f112,f167,f162]) ).

fof(f6304,plain,
    ( spl3_369
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != sK1
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_369])]) ).

fof(f537,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != sK1
        | sK1 = X0
        | ~ aNaturalNumber0(sK1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_41
    | ~ spl3_46 ),
    inference(superposition,[],[f425,f481]) ).

fof(f6300,plain,
    ( ~ spl3_2
    | spl3_367
    | ~ spl3_11
    | spl3_368
    | ~ spl3_40
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f533,f474,f420,f6298,f162,f6294,f117]) ).

fof(f6298,plain,
    ( spl3_368
  <=> ! [X0] :
        ( sK0 != sdtasdt0(sK0,X0)
        | ~ aNaturalNumber0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_368])]) ).

fof(f533,plain,
    ( ! [X0] :
        ( sK0 != sdtasdt0(sK0,X0)
        | sz10 = X0
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0)
        | sz00 = sK0
        | ~ aNaturalNumber0(sK0) )
    | ~ spl3_40
    | ~ spl3_45 ),
    inference(superposition,[],[f421,f476]) ).

fof(f6286,plain,
    ( ~ spl3_11
    | spl3_12
    | ~ spl3_2
    | spl3_366
    | ~ spl3_41
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f531,f474,f424,f6284,f117,f167,f162]) ).

fof(f6284,plain,
    ( spl3_366
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) != sK0
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_366])]) ).

fof(f531,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) != sK0
        | sK0 = X0
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sz10
        | ~ aNaturalNumber0(sz10) )
    | ~ spl3_41
    | ~ spl3_45 ),
    inference(superposition,[],[f425,f476]) ).

fof(f6226,plain,
    ( spl3_365
    | ~ spl3_1
    | ~ spl3_203 ),
    inference(avatar_split_clause,[],[f2944,f2647,f112,f6223]) ).

fof(f6223,plain,
    ( spl3_365
  <=> sz00 = sdtasdt0(sdtasdt0(sK0,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_365])]) ).

fof(f2647,plain,
    ( spl3_203
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_203])]) ).

fof(f2944,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK0,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_203 ),
    inference(resolution,[],[f2648,f114]) ).

fof(f2648,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK0,X0),sz00) )
    | ~ spl3_203 ),
    inference(avatar_component_clause,[],[f2647]) ).

fof(f6013,plain,
    ( spl3_364
    | ~ spl3_2
    | ~ spl3_203 ),
    inference(avatar_split_clause,[],[f2943,f2647,f117,f6010]) ).

fof(f6010,plain,
    ( spl3_364
  <=> sz00 = sdtasdt0(sdtasdt0(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_364])]) ).

fof(f2943,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_203 ),
    inference(resolution,[],[f2648,f119]) ).

fof(f5726,plain,
    ( spl3_363
    | ~ spl3_9
    | ~ spl3_203 ),
    inference(avatar_split_clause,[],[f2942,f2647,f152,f5723]) ).

fof(f5723,plain,
    ( spl3_363
  <=> sz00 = sdtasdt0(sdtasdt0(sK0,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_363])]) ).

fof(f2942,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK0,xn),sz00)
    | ~ spl3_9
    | ~ spl3_203 ),
    inference(resolution,[],[f2648,f154]) ).

fof(f5468,plain,
    ( spl3_362
    | ~ spl3_8
    | ~ spl3_203 ),
    inference(avatar_split_clause,[],[f2941,f2647,f147,f5465]) ).

fof(f5465,plain,
    ( spl3_362
  <=> sz00 = sdtasdt0(sdtasdt0(sK0,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_362])]) ).

fof(f2941,plain,
    ( sz00 = sdtasdt0(sdtasdt0(sK0,xm),sz00)
    | ~ spl3_8
    | ~ spl3_203 ),
    inference(resolution,[],[f2648,f149]) ).

fof(f5351,plain,
    ( spl3_361
    | ~ spl3_1
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2083,f1999,f112,f5349]) ).

fof(f2083,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f114]) ).

fof(f5347,plain,
    ( spl3_360
    | ~ spl3_2
    | ~ spl3_162 ),
    inference(avatar_split_clause,[],[f2082,f1999,f117,f5345]) ).

fof(f2082,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_162 ),
    inference(resolution,[],[f2000,f119]) ).

fof(f5343,plain,
    ( spl3_359
    | ~ spl3_1
    | ~ spl3_202 ),
    inference(avatar_split_clause,[],[f2929,f2643,f112,f5340]) ).

fof(f5340,plain,
    ( spl3_359
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_359])]) ).

fof(f2643,plain,
    ( spl3_202
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_202])]) ).

fof(f2929,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_202 ),
    inference(resolution,[],[f2644,f114]) ).

fof(f2644,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK1,X0)) )
    | ~ spl3_202 ),
    inference(avatar_component_clause,[],[f2643]) ).

fof(f5338,plain,
    ( spl3_358
    | ~ spl3_1
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2057,f1991,f112,f5336]) ).

fof(f5336,plain,
    ( spl3_358
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK1)) = sdtasdt0(sdtasdt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_358])]) ).

fof(f2057,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK1)) = sdtasdt0(sdtasdt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f114]) ).

fof(f5334,plain,
    ( spl3_357
    | ~ spl3_2
    | ~ spl3_160 ),
    inference(avatar_split_clause,[],[f2056,f1991,f117,f5332]) ).

fof(f5332,plain,
    ( spl3_357
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK0)) = sdtasdt0(sdtasdt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_357])]) ).

fof(f2056,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtasdt0(X1,sK0)) = sdtasdt0(sdtasdt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_160 ),
    inference(resolution,[],[f1992,f119]) ).

fof(f5330,plain,
    ( spl3_356
    | ~ spl3_1
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2047,f1987,f112,f5328]) ).

fof(f5328,plain,
    ( spl3_356
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtasdt0(sdtpldt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_356])]) ).

fof(f2047,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtasdt0(sdtpldt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f114]) ).

fof(f5326,plain,
    ( spl3_355
    | ~ spl3_2
    | ~ spl3_159 ),
    inference(avatar_split_clause,[],[f2046,f1987,f117,f5324]) ).

fof(f5324,plain,
    ( spl3_355
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK0)) = sdtasdt0(sdtpldt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_355])]) ).

fof(f2046,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtpldt0(X1,sK0)) = sdtasdt0(sdtpldt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_159 ),
    inference(resolution,[],[f1988,f119]) ).

fof(f5322,plain,
    ( spl3_354
    | ~ spl3_1
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2037,f1983,f112,f5320]) ).

fof(f5320,plain,
    ( spl3_354
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK1)) = sdtpldt0(sdtasdt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_354])]) ).

fof(f2037,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK1)) = sdtpldt0(sdtasdt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f114]) ).

fof(f5318,plain,
    ( spl3_353
    | ~ spl3_2
    | ~ spl3_158 ),
    inference(avatar_split_clause,[],[f2036,f1983,f117,f5316]) ).

fof(f5316,plain,
    ( spl3_353
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK0)) = sdtpldt0(sdtasdt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_353])]) ).

fof(f2036,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtasdt0(X1,sK0)) = sdtpldt0(sdtasdt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_158 ),
    inference(resolution,[],[f1984,f119]) ).

fof(f5314,plain,
    ( spl3_352
    | ~ spl3_1
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2027,f1979,f112,f5312]) ).

fof(f5312,plain,
    ( spl3_352
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtpldt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_352])]) ).

fof(f2027,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtpldt0(X1,sK1),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f114]) ).

fof(f5310,plain,
    ( spl3_351
    | ~ spl3_2
    | ~ spl3_157 ),
    inference(avatar_split_clause,[],[f2026,f1979,f117,f5308]) ).

fof(f5308,plain,
    ( spl3_351
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK0)) = sdtpldt0(sdtpldt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_351])]) ).

fof(f2026,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sdtpldt0(X1,sK0)) = sdtpldt0(sdtpldt0(X1,sK0),X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_157 ),
    inference(resolution,[],[f1980,f119]) ).

fof(f5306,plain,
    ( spl3_350
    | ~ spl3_1
    | ~ spl3_155
    | ~ spl3_156 ),
    inference(avatar_split_clause,[],[f1977,f1933,f1916,f112,f5304]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_155
    | ~ spl3_156 ),
    inference(forward_demodulation,[],[f1971,f1935]) ).

fof(f1971,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(xn,sK1)) )
    | ~ spl3_1
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f114]) ).

fof(f5302,plain,
    ( spl3_349
    | ~ spl3_2
    | ~ spl3_137
    | ~ spl3_155 ),
    inference(avatar_split_clause,[],[f1976,f1916,f1674,f117,f5300]) ).

fof(f1976,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xn),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_137
    | ~ spl3_155 ),
    inference(forward_demodulation,[],[f1970,f1676]) ).

fof(f1970,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xn),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(xn,sK0)) )
    | ~ spl3_2
    | ~ spl3_155 ),
    inference(resolution,[],[f1917,f119]) ).

fof(f5298,plain,
    ( spl3_348
    | ~ spl3_9
    | ~ spl3_202 ),
    inference(avatar_split_clause,[],[f2927,f2643,f152,f5295]) ).

fof(f5295,plain,
    ( spl3_348
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_348])]) ).

fof(f2927,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_202 ),
    inference(resolution,[],[f2644,f154]) ).

fof(f5293,plain,
    ( spl3_347
    | ~ spl3_1
    | ~ spl3_151
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1962,f1912,f1851,f112,f5291]) ).

fof(f1962,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_151
    | ~ spl3_154 ),
    inference(forward_demodulation,[],[f1957,f1853]) ).

fof(f1957,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(xm,sK1)) )
    | ~ spl3_1
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f114]) ).

fof(f5289,plain,
    ( spl3_346
    | ~ spl3_2
    | ~ spl3_131
    | ~ spl3_154 ),
    inference(avatar_split_clause,[],[f1961,f1912,f1589,f117,f5287]) ).

fof(f1961,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_131
    | ~ spl3_154 ),
    inference(forward_demodulation,[],[f1956,f1591]) ).

fof(f1956,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(xm,sK0)) )
    | ~ spl3_2
    | ~ spl3_154 ),
    inference(resolution,[],[f1913,f119]) ).

fof(f5285,plain,
    ( spl3_345
    | ~ spl3_1
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1945,f1908,f112,f5283]) ).

fof(f5283,plain,
    ( spl3_345
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,xn)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_345])]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,xn)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f114]) ).

fof(f5281,plain,
    ( spl3_344
    | ~ spl3_2
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1926,f1904,f117,f5279]) ).

fof(f5279,plain,
    ( spl3_344
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_344])]) ).

fof(f1926,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f119]) ).

fof(f5277,plain,
    ( spl3_343
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_55
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f935,f874,f600,f117,f112,f5275]) ).

fof(f935,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_55
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f930,f639]) ).

fof(f639,plain,
    ( sdtasdt0(sK1,sK0) = sdtasdt0(sK0,sK1)
    | ~ spl3_1
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f114]) ).

fof(f930,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK1,sK0)) )
    | ~ spl3_2
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f119]) ).

fof(f5273,plain,
    ( spl3_342
    | ~ spl3_1
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f931,f874,f112,f5271]) ).

fof(f931,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK1,sK1)) )
    | ~ spl3_1
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f114]) ).

fof(f5269,plain,
    ( spl3_341
    | ~ spl3_9
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f929,f874,f152,f5267]) ).

fof(f929,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK1,xn)) )
    | ~ spl3_9
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f154]) ).

fof(f5265,plain,
    ( spl3_340
    | ~ spl3_8
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f928,f874,f147,f5263]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK1,xm)) )
    | ~ spl3_8
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f149]) ).

fof(f5261,plain,
    ( spl3_339
    | ~ spl3_1
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f914,f870,f112,f5259]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sK0,sK1)) )
    | ~ spl3_1
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f114]) ).

fof(f5257,plain,
    ( spl3_338
    | ~ spl3_2
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f913,f870,f117,f5255]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK0)) )
    | ~ spl3_2
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f119]) ).

fof(f5253,plain,
    ( spl3_337
    | ~ spl3_8
    | ~ spl3_202 ),
    inference(avatar_split_clause,[],[f2926,f2643,f147,f5250]) ).

fof(f5250,plain,
    ( spl3_337
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK1,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_337])]) ).

fof(f2926,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK1,xm))
    | ~ spl3_8
    | ~ spl3_202 ),
    inference(resolution,[],[f2644,f149]) ).

fof(f5248,plain,
    ( spl3_336
    | ~ spl3_9
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f912,f870,f152,f5246]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xn) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sK0,xn)) )
    | ~ spl3_9
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f154]) ).

fof(f5244,plain,
    ( spl3_335
    | ~ spl3_8
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f911,f870,f147,f5242]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),xm) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sK0,xm)) )
    | ~ spl3_8
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f149]) ).

fof(f5240,plain,
    ( spl3_334
    | ~ spl3_9
    | ~ spl3_54
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f905,f866,f596,f152,f5238]) ).

fof(f905,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_54
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f898,f625]) ).

fof(f625,plain,
    ( sdtpldt0(xn,sK1) = sdtpldt0(sK1,xn)
    | ~ spl3_9
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f154]) ).

fof(f898,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sK1)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f154]) ).

fof(f5236,plain,
    ( spl3_333
    | ~ spl3_11
    | ~ spl3_54
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f903,f866,f596,f162,f5234]) ).

fof(f903,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_54
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f893,f620]) ).

fof(f620,plain,
    ( sdtpldt0(sz10,sK1) = sdtpldt0(sK1,sz10)
    | ~ spl3_11
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f164]) ).

fof(f893,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sK1)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f164]) ).

fof(f5232,plain,
    ( spl3_332
    | ~ spl3_1
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f900,f866,f112,f5230]) ).

fof(f900,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sK1)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f114]) ).

fof(f5228,plain,
    ( spl3_331
    | ~ spl3_2
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f899,f866,f117,f5226]) ).

fof(f5226,plain,
    ( spl3_331
  <=> ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_331])]) ).

fof(f899,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f119]) ).

fof(f5224,plain,
    ( spl3_330
    | ~ spl3_1
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f891,f862,f592,f112,f5222]) ).

fof(f891,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f885,f615]) ).

fof(f615,plain,
    ( sdtpldt0(sK1,sK0) = sdtpldt0(sK0,sK1)
    | ~ spl3_1
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f114]) ).

fof(f885,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sK0)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f114]) ).

fof(f5220,plain,
    ( spl3_329
    | ~ spl3_8
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f889,f862,f592,f147,f5218]) ).

fof(f889,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f882,f612]) ).

fof(f612,plain,
    ( sdtpldt0(xm,sK0) = sdtpldt0(sK0,xm)
    | ~ spl3_8
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f149]) ).

fof(f882,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sK0)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f149]) ).

fof(f5216,plain,
    ( spl3_328
    | ~ spl3_11
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f888,f862,f592,f162,f5214]) ).

fof(f888,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0)) = sdtasdt0(X0,sdtpldt0(sK0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_53
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f878,f608]) ).

fof(f608,plain,
    ( sdtpldt0(sz10,sK0) = sdtpldt0(sK0,sz10)
    | ~ spl3_11
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f164]) ).

fof(f878,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz10,sK0)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f164]) ).

fof(f5212,plain,
    ( spl3_327
    | ~ spl3_2
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f884,f862,f117,f5210]) ).

fof(f884,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sK0)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f119]) ).

fof(f5208,plain,
    ( spl3_326
    | ~ spl3_1
    | ~ spl3_201 ),
    inference(avatar_split_clause,[],[f2915,f2639,f112,f5205]) ).

fof(f5205,plain,
    ( spl3_326
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_326])]) ).

fof(f2639,plain,
    ( spl3_201
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_201])]) ).

fof(f2915,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_201 ),
    inference(resolution,[],[f2640,f114]) ).

fof(f2640,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK0,X0)) )
    | ~ spl3_201 ),
    inference(avatar_component_clause,[],[f2639]) ).

fof(f5203,plain,
    ( spl3_325
    | ~ spl3_22
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f651,f604,f245,f5201]) ).

fof(f5201,plain,
    ( spl3_325
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(sK1,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_325])]) ).

fof(f651,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(sK1,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f246]) ).

fof(f5199,plain,
    ( spl3_324
    | ~ spl3_21
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f650,f604,f241,f5197]) ).

fof(f5197,plain,
    ( spl3_324
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),sK1) = sdtasdt0(sK1,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_324])]) ).

fof(f650,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),sK1) = sdtasdt0(sK1,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f242]) ).

fof(f5195,plain,
    ( spl3_323
    | ~ spl3_22
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f634,f600,f245,f5193]) ).

fof(f5193,plain,
    ( spl3_323
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(sK0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_323])]) ).

fof(f634,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(sK0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f246]) ).

fof(f5191,plain,
    ( spl3_322
    | ~ spl3_21
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f633,f600,f241,f5189]) ).

fof(f5189,plain,
    ( spl3_322
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),sK0) = sdtasdt0(sK0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_322])]) ).

fof(f633,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,X1),sK0) = sdtasdt0(sK0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f242]) ).

fof(f5187,plain,
    ( spl3_321
    | ~ spl3_22
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f622,f596,f245,f5185]) ).

fof(f5185,plain,
    ( spl3_321
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sK1) = sdtpldt0(sK1,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_321])]) ).

fof(f622,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sK1) = sdtpldt0(sK1,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f246]) ).

fof(f5183,plain,
    ( spl3_320
    | ~ spl3_21
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f621,f596,f241,f5181]) ).

fof(f5181,plain,
    ( spl3_320
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(sK1,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_320])]) ).

fof(f621,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(sK1,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f242]) ).

fof(f5179,plain,
    ( spl3_319
    | ~ spl3_22
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f610,f592,f245,f5177]) ).

fof(f5177,plain,
    ( spl3_319
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sK0) = sdtpldt0(sK0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_319])]) ).

fof(f610,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtasdt0(X0,X1),sK0) = sdtpldt0(sK0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_22
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f246]) ).

fof(f5175,plain,
    ( spl3_318
    | ~ spl3_21
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f609,f592,f241,f5173]) ).

fof(f5173,plain,
    ( spl3_318
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(sK0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_318])]) ).

fof(f609,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(sK0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_21
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f242]) ).

fof(f5167,plain,
    ( ~ spl3_1
    | ~ spl3_10
    | spl3_317
    | ~ spl3_36
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f588,f509,f371,f5165,f157,f112]) ).

fof(f5165,plain,
    ( spl3_317
  <=> ! [X0] :
        ( sK1 != sdtpldt0(X0,sK1)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_317])]) ).

fof(f509,plain,
    ( spl3_52
  <=> sK1 = sdtpldt0(sz00,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).

fof(f588,plain,
    ( ! [X0] :
        ( sK1 != sdtpldt0(X0,sK1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_36
    | ~ spl3_52 ),
    inference(superposition,[],[f372,f511]) ).

fof(f511,plain,
    ( sK1 = sdtpldt0(sz00,sK1)
    | ~ spl3_52 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f5163,plain,
    ( spl3_316
    | ~ spl3_2
    | ~ spl3_201 ),
    inference(avatar_split_clause,[],[f2914,f2639,f117,f5160]) ).

fof(f5160,plain,
    ( spl3_316
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_316])]) ).

fof(f2914,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_201 ),
    inference(resolution,[],[f2640,f119]) ).

fof(f5152,plain,
    ( ~ spl3_10
    | ~ spl3_1
    | spl3_315
    | ~ spl3_35
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f586,f509,f367,f5150,f112,f157]) ).

fof(f5150,plain,
    ( spl3_315
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != sK1
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_315])]) ).

fof(f586,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != sK1
        | sK1 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK1)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_35
    | ~ spl3_52 ),
    inference(superposition,[],[f368,f511]) ).

fof(f5143,plain,
    ( ~ spl3_2
    | ~ spl3_10
    | spl3_314
    | ~ spl3_36
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f579,f504,f371,f5141,f157,f117]) ).

fof(f5141,plain,
    ( spl3_314
  <=> ! [X0] :
        ( sK0 != sdtpldt0(X0,sK0)
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_314])]) ).

fof(f504,plain,
    ( spl3_51
  <=> sK0 = sdtpldt0(sz00,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).

fof(f579,plain,
    ( ! [X0] :
        ( sK0 != sdtpldt0(X0,sK0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sK0) )
    | ~ spl3_36
    | ~ spl3_51 ),
    inference(superposition,[],[f372,f506]) ).

fof(f506,plain,
    ( sK0 = sdtpldt0(sz00,sK0)
    | ~ spl3_51 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f5133,plain,
    ( ~ spl3_10
    | ~ spl3_2
    | spl3_313
    | ~ spl3_35
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f577,f504,f367,f5131,f117,f157]) ).

fof(f5131,plain,
    ( spl3_313
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) != sK0
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_313])]) ).

fof(f577,plain,
    ( ! [X0] :
        ( sdtpldt0(sz00,X0) != sK0
        | sK0 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_35
    | ~ spl3_51 ),
    inference(superposition,[],[f368,f506]) ).

fof(f5123,plain,
    ( ~ spl3_10
    | ~ spl3_1
    | spl3_312
    | ~ spl3_36
    | ~ spl3_50 ),
    inference(avatar_split_clause,[],[f570,f499,f371,f5121,f112,f157]) ).

fof(f5121,plain,
    ( spl3_312
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != sK1
        | ~ aNaturalNumber0(X0)
        | sK1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_312])]) ).

fof(f570,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != sK1
        | sK1 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK1)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_36
    | ~ spl3_50 ),
    inference(superposition,[],[f372,f501]) ).

fof(f5112,plain,
    ( ~ spl3_1
    | ~ spl3_10
    | spl3_311
    | ~ spl3_35
    | ~ spl3_50 ),
    inference(avatar_split_clause,[],[f568,f499,f367,f5110,f157,f112]) ).

fof(f568,plain,
    ( ! [X0] :
        ( sK1 != sdtpldt0(sK1,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_35
    | ~ spl3_50 ),
    inference(superposition,[],[f368,f501]) ).

fof(f5108,plain,
    ( spl3_310
    | ~ spl3_9
    | ~ spl3_201 ),
    inference(avatar_split_clause,[],[f2913,f2639,f152,f5105]) ).

fof(f5105,plain,
    ( spl3_310
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK0,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_310])]) ).

fof(f2913,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK0,xn))
    | ~ spl3_9
    | ~ spl3_201 ),
    inference(resolution,[],[f2640,f154]) ).

fof(f5097,plain,
    ( ~ spl3_10
    | ~ spl3_2
    | spl3_309
    | ~ spl3_36
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f561,f494,f371,f5095,f117,f157]) ).

fof(f5095,plain,
    ( spl3_309
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) != sK0
        | ~ aNaturalNumber0(X0)
        | sK0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_309])]) ).

fof(f561,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) != sK0
        | sK0 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(sz00) )
    | ~ spl3_36
    | ~ spl3_49 ),
    inference(superposition,[],[f372,f496]) ).

fof(f5087,plain,
    ( ~ spl3_2
    | ~ spl3_10
    | spl3_308
    | ~ spl3_35
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f559,f494,f367,f5085,f157,f117]) ).

fof(f559,plain,
    ( ! [X0] :
        ( sK0 != sdtpldt0(sK0,X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sz00)
        | ~ aNaturalNumber0(sK0) )
    | ~ spl3_35
    | ~ spl3_49 ),
    inference(superposition,[],[f368,f496]) ).

fof(f4929,plain,
    ( spl3_307
    | ~ spl3_8
    | ~ spl3_201 ),
    inference(avatar_split_clause,[],[f2912,f2639,f147,f4926]) ).

fof(f4926,plain,
    ( spl3_307
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_307])]) ).

fof(f2912,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_201 ),
    inference(resolution,[],[f2640,f149]) ).

fof(f4714,plain,
    ( spl3_306
    | ~ spl3_1
    | ~ spl3_200 ),
    inference(avatar_split_clause,[],[f2900,f2635,f112,f4711]) ).

fof(f4711,plain,
    ( spl3_306
  <=> sz00 = sdtasdt0(sdtpldt0(sK1,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_306])]) ).

fof(f2635,plain,
    ( spl3_200
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK1,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_200])]) ).

fof(f2900,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK1,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_200 ),
    inference(resolution,[],[f2636,f114]) ).

fof(f2636,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK1,X0),sz00) )
    | ~ spl3_200 ),
    inference(avatar_component_clause,[],[f2635]) ).

fof(f4443,plain,
    ( spl3_305
    | ~ spl3_9
    | ~ spl3_200 ),
    inference(avatar_split_clause,[],[f2898,f2635,f152,f4440]) ).

fof(f4440,plain,
    ( spl3_305
  <=> sz00 = sdtasdt0(sdtpldt0(sK1,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_305])]) ).

fof(f2898,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK1,xn),sz00)
    | ~ spl3_9
    | ~ spl3_200 ),
    inference(resolution,[],[f2636,f154]) ).

fof(f4233,plain,
    ( spl3_304
    | ~ spl3_11
    | ~ spl3_200 ),
    inference(avatar_split_clause,[],[f2893,f2635,f162,f4230]) ).

fof(f4230,plain,
    ( spl3_304
  <=> sz00 = sdtasdt0(sdtpldt0(sK1,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_304])]) ).

fof(f2893,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK1,sz10),sz00)
    | ~ spl3_11
    | ~ spl3_200 ),
    inference(resolution,[],[f2636,f164]) ).

fof(f4148,plain,
    ( spl3_303
    | ~ spl3_1
    | ~ spl3_48
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2119,f2016,f489,f112,f4146]) ).

fof(f2119,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_48
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2112,f491]) ).

fof(f2112,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sz10,sK1)) )
    | ~ spl3_1
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f114]) ).

fof(f4144,plain,
    ( spl3_302
    | ~ spl3_2
    | ~ spl3_47
    | ~ spl3_164 ),
    inference(avatar_split_clause,[],[f2118,f2016,f484,f117,f4142]) ).

fof(f2118,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_47
    | ~ spl3_164 ),
    inference(forward_demodulation,[],[f2111,f486]) ).

fof(f2111,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sz10,sK0)) )
    | ~ spl3_2
    | ~ spl3_164 ),
    inference(resolution,[],[f2017,f119]) ).

fof(f4140,plain,
    ( spl3_301
    | ~ spl3_1
    | ~ spl3_37
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2103,f2003,f375,f112,f4138]) ).

fof(f4138,plain,
    ( spl3_301
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_301])]) ).

fof(f375,plain,
    ( spl3_37
  <=> sz00 = sdtasdt0(sz00,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).

fof(f2103,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_37
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2096,f377]) ).

fof(f377,plain,
    ( sz00 = sdtasdt0(sz00,sK1)
    | ~ spl3_37 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2096,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(sz00,sK1)) )
    | ~ spl3_1
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f114]) ).

fof(f4136,plain,
    ( spl3_300
    | ~ spl3_2
    | ~ spl3_30
    | ~ spl3_163 ),
    inference(avatar_split_clause,[],[f2102,f2003,f332,f117,f4134]) ).

fof(f4134,plain,
    ( spl3_300
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_300])]) ).

fof(f332,plain,
    ( spl3_30
  <=> sz00 = sdtasdt0(sz00,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f2102,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sz00),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_30
    | ~ spl3_163 ),
    inference(forward_demodulation,[],[f2095,f334]) ).

fof(f334,plain,
    ( sz00 = sdtasdt0(sz00,sK0)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f2095,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sz00),sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(sz00,sK0)) )
    | ~ spl3_2
    | ~ spl3_163 ),
    inference(resolution,[],[f2004,f119]) ).

fof(f4132,plain,
    ( spl3_299
    | ~ spl3_1
    | ~ spl3_50
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2074,f1995,f499,f112,f4130]) ).

fof(f4130,plain,
    ( spl3_299
  <=> ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_299])]) ).

fof(f2074,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_50
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2067,f501]) ).

fof(f2067,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,sz00)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f114]) ).

fof(f4128,plain,
    ( spl3_298
    | ~ spl3_2
    | ~ spl3_49
    | ~ spl3_161 ),
    inference(avatar_split_clause,[],[f2073,f1995,f494,f117,f4126]) ).

fof(f4126,plain,
    ( spl3_298
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_298])]) ).

fof(f2073,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_49
    | ~ spl3_161 ),
    inference(forward_demodulation,[],[f2066,f496]) ).

fof(f2066,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,sz00)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_161 ),
    inference(resolution,[],[f1996,f119]) ).

fof(f4124,plain,
    ( spl3_297
    | ~ spl3_1
    | ~ spl3_199 ),
    inference(avatar_split_clause,[],[f2886,f2631,f112,f4121]) ).

fof(f4121,plain,
    ( spl3_297
  <=> sz00 = sdtasdt0(sdtpldt0(sK0,sK1),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_297])]) ).

fof(f2631,plain,
    ( spl3_199
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_199])]) ).

fof(f2886,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK0,sK1),sz00)
    | ~ spl3_1
    | ~ spl3_199 ),
    inference(resolution,[],[f2632,f114]) ).

fof(f2632,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK0,X0),sz00) )
    | ~ spl3_199 ),
    inference(avatar_component_clause,[],[f2631]) ).

fof(f4119,plain,
    ( spl3_296
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_153 ),
    inference(avatar_split_clause,[],[f1948,f1908,f644,f117,f4117]) ).

fof(f1948,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_153 ),
    inference(forward_demodulation,[],[f1944,f646]) ).

fof(f1944,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK0,xn)) = sdtpldt0(sdtasdt0(X0,sK0),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_153 ),
    inference(resolution,[],[f1909,f119]) ).

fof(f4115,plain,
    ( spl3_295
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_152 ),
    inference(avatar_split_clause,[],[f1931,f1904,f702,f112,f4113]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_152 ),
    inference(forward_demodulation,[],[f1927,f704]) ).

fof(f1927,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sK1,xm)) = sdtpldt0(sdtasdt0(X0,sK1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_152 ),
    inference(resolution,[],[f1905,f114]) ).

fof(f4110,plain,
    ( spl3_294
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_146 ),
    inference(avatar_split_clause,[],[f1860,f1807,f127,f147,f152,f4107]) ).

fof(f4107,plain,
    ( spl3_294
  <=> sK2(xn,xm) = sdtpldt0(sz00,sK2(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_294])]) ).

fof(f1860,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sK2(xn,xm) = sdtpldt0(sz00,sK2(xn,xm))
    | ~ spl3_4
    | ~ spl3_146 ),
    inference(resolution,[],[f1808,f129]) ).

fof(f4104,plain,
    ( spl3_293
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_146 ),
    inference(avatar_split_clause,[],[f1859,f1807,f122,f152,f147,f4101]) ).

fof(f4101,plain,
    ( spl3_293
  <=> sK2(xm,xn) = sdtpldt0(sz00,sK2(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_293])]) ).

fof(f1859,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sK2(xm,xn) = sdtpldt0(sz00,sK2(xm,xn))
    | ~ spl3_3
    | ~ spl3_146 ),
    inference(resolution,[],[f1808,f124]) ).

fof(f4098,plain,
    ( spl3_292
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_145 ),
    inference(avatar_split_clause,[],[f1847,f1803,f127,f147,f152,f4095]) ).

fof(f4095,plain,
    ( spl3_292
  <=> sK2(xn,xm) = sdtpldt0(sK2(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_292])]) ).

fof(f1847,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sK2(xn,xm) = sdtpldt0(sK2(xn,xm),sz00)
    | ~ spl3_4
    | ~ spl3_145 ),
    inference(resolution,[],[f1804,f129]) ).

fof(f4092,plain,
    ( spl3_291
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_145 ),
    inference(avatar_split_clause,[],[f1846,f1803,f122,f152,f147,f4089]) ).

fof(f4089,plain,
    ( spl3_291
  <=> sK2(xm,xn) = sdtpldt0(sK2(xm,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_291])]) ).

fof(f1846,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sK2(xm,xn) = sdtpldt0(sK2(xm,xn),sz00)
    | ~ spl3_3
    | ~ spl3_145 ),
    inference(resolution,[],[f1804,f124]) ).

fof(f4086,plain,
    ( spl3_290
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_144 ),
    inference(avatar_split_clause,[],[f1839,f1799,f127,f147,f152,f4083]) ).

fof(f4083,plain,
    ( spl3_290
  <=> sK2(xn,xm) = sdtasdt0(sz10,sK2(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_290])]) ).

fof(f1839,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sK2(xn,xm) = sdtasdt0(sz10,sK2(xn,xm))
    | ~ spl3_4
    | ~ spl3_144 ),
    inference(resolution,[],[f1800,f129]) ).

fof(f4080,plain,
    ( spl3_289
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_144 ),
    inference(avatar_split_clause,[],[f1838,f1799,f122,f152,f147,f4077]) ).

fof(f4077,plain,
    ( spl3_289
  <=> sK2(xm,xn) = sdtasdt0(sz10,sK2(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_289])]) ).

fof(f1838,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sK2(xm,xn) = sdtasdt0(sz10,sK2(xm,xn))
    | ~ spl3_3
    | ~ spl3_144 ),
    inference(resolution,[],[f1800,f124]) ).

fof(f4074,plain,
    ( spl3_288
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_142 ),
    inference(avatar_split_clause,[],[f1831,f1790,f127,f147,f152,f4071]) ).

fof(f4071,plain,
    ( spl3_288
  <=> sK2(xn,xm) = sdtasdt0(sK2(xn,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_288])]) ).

fof(f1831,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sK2(xn,xm) = sdtasdt0(sK2(xn,xm),sz10)
    | ~ spl3_4
    | ~ spl3_142 ),
    inference(resolution,[],[f1791,f129]) ).

fof(f4068,plain,
    ( spl3_287
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_142 ),
    inference(avatar_split_clause,[],[f1830,f1790,f122,f152,f147,f4065]) ).

fof(f4065,plain,
    ( spl3_287
  <=> sK2(xm,xn) = sdtasdt0(sK2(xm,xn),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_287])]) ).

fof(f1830,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sK2(xm,xn) = sdtasdt0(sK2(xm,xn),sz10)
    | ~ spl3_3
    | ~ spl3_142 ),
    inference(resolution,[],[f1791,f124]) ).

fof(f4063,plain,
    ( spl3_286
    | ~ spl3_2
    | ~ spl3_199 ),
    inference(avatar_split_clause,[],[f2885,f2631,f117,f4060]) ).

fof(f4060,plain,
    ( spl3_286
  <=> sz00 = sdtasdt0(sdtpldt0(sK0,sK0),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_286])]) ).

fof(f2885,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK0,sK0),sz00)
    | ~ spl3_2
    | ~ spl3_199 ),
    inference(resolution,[],[f2632,f119]) ).

fof(f4058,plain,
    ( spl3_285
    | ~ spl3_1
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1750,f1687,f112,f4056]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK1,sz10)) = sdtpldt0(sdtpldt0(X0,sK1),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f114]) ).

fof(f4054,plain,
    ( spl3_284
    | ~ spl3_2
    | ~ spl3_140 ),
    inference(avatar_split_clause,[],[f1749,f1687,f117,f4052]) ).

fof(f1749,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,sz10)) = sdtpldt0(sdtpldt0(X0,sK0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_140 ),
    inference(resolution,[],[f1688,f119]) ).

fof(f4050,plain,
    ( spl3_283
    | ~ spl3_1
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1665,f1616,f112,f4048]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK1,xn)) = sdtpldt0(sdtpldt0(X0,sK1),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f114]) ).

fof(f4046,plain,
    ( spl3_282
    | ~ spl3_2
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1651,f1612,f117,f4044]) ).

fof(f1651,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,xm)) = sdtpldt0(sdtpldt0(X0,sK0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f119]) ).

fof(f4042,plain,
    ( spl3_281
    | ~ spl3_1
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1640,f1608,f112,f4040]) ).

fof(f1640,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK1,xn)) = sdtasdt0(sdtasdt0(X0,sK1),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f114]) ).

fof(f4038,plain,
    ( spl3_280
    | ~ spl3_2
    | ~ spl3_133 ),
    inference(avatar_split_clause,[],[f1639,f1608,f117,f4036]) ).

fof(f1639,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,xn)) = sdtasdt0(sdtasdt0(X0,sK0),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_133 ),
    inference(resolution,[],[f1609,f119]) ).

fof(f4034,plain,
    ( spl3_279
    | ~ spl3_1
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1627,f1604,f112,f4032]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK1,xm)) = sdtasdt0(sdtasdt0(X0,sK1),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f114]) ).

fof(f4030,plain,
    ( spl3_278
    | ~ spl3_2
    | ~ spl3_132 ),
    inference(avatar_split_clause,[],[f1626,f1604,f117,f4028]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,xm)) = sdtasdt0(sdtasdt0(X0,sK0),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_132 ),
    inference(resolution,[],[f1605,f119]) ).

fof(f4026,plain,
    ( spl3_277
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f934,f874,f479,f162,f4024]) ).

fof(f4024,plain,
    ( spl3_277
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_277])]) ).

fof(f934,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_46
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f924,f481]) ).

fof(f924,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sK1,sz10)) )
    | ~ spl3_11
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f164]) ).

fof(f4022,plain,
    ( spl3_276
    | ~ spl3_10
    | ~ spl3_25
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f933,f874,f271,f157,f4020]) ).

fof(f4020,plain,
    ( spl3_276
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_276])]) ).

fof(f271,plain,
    ( spl3_25
  <=> sz00 = sdtasdt0(sK1,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f933,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_25
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f923,f273]) ).

fof(f273,plain,
    ( sz00 = sdtasdt0(sK1,sz00)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f923,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sK1,sz00)) )
    | ~ spl3_10
    | ~ spl3_78 ),
    inference(resolution,[],[f875,f159]) ).

fof(f4018,plain,
    ( spl3_275
    | ~ spl3_8
    | ~ spl3_199 ),
    inference(avatar_split_clause,[],[f2883,f2631,f147,f4015]) ).

fof(f4015,plain,
    ( spl3_275
  <=> sz00 = sdtasdt0(sdtpldt0(sK0,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_275])]) ).

fof(f2883,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK0,xm),sz00)
    | ~ spl3_8
    | ~ spl3_199 ),
    inference(resolution,[],[f2632,f149]) ).

fof(f4013,plain,
    ( spl3_274
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f917,f870,f474,f162,f4011]) ).

fof(f4011,plain,
    ( spl3_274
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK0),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_274])]) ).

fof(f917,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK0),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_45
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f907,f476]) ).

fof(f907,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sK0,sz10)) )
    | ~ spl3_11
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f164]) ).

fof(f4009,plain,
    ( spl3_273
    | ~ spl3_10
    | ~ spl3_20
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f916,f870,f212,f157,f4007]) ).

fof(f4007,plain,
    ( spl3_273
  <=> ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK0),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_273])]) ).

fof(f916,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtpldt0(X0,sK0),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_20
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f906,f214]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtpldt0(X0,sK0),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sK0,sz00)) )
    | ~ spl3_10
    | ~ spl3_77 ),
    inference(resolution,[],[f871,f159]) ).

fof(f4005,plain,
    ( spl3_272
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f904,f866,f147,f137,f4003]) ).

fof(f904,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f897,f139]) ).

fof(f897,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xm,sK1)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f149]) ).

fof(f4001,plain,
    ( spl3_271
    | ~ spl3_10
    | ~ spl3_52
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f902,f866,f509,f157,f3999]) ).

fof(f3999,plain,
    ( spl3_271
  <=> ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_271])]) ).

fof(f902,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_52
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f892,f511]) ).

fof(f892,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sK1)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_76 ),
    inference(resolution,[],[f867,f159]) ).

fof(f3997,plain,
    ( spl3_270
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f890,f862,f152,f142,f3995]) ).

fof(f890,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f883,f144]) ).

fof(f883,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(xn,sK0)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f154]) ).

fof(f3993,plain,
    ( spl3_269
    | ~ spl3_10
    | ~ spl3_51
    | ~ spl3_75 ),
    inference(avatar_split_clause,[],[f887,f862,f504,f157,f3991]) ).

fof(f3991,plain,
    ( spl3_269
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_269])]) ).

fof(f887,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_51
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f877,f506]) ).

fof(f877,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtpldt0(sz00,sK0)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_75 ),
    inference(resolution,[],[f863,f159]) ).

fof(f3989,plain,
    ( spl3_268
    | ~ spl3_9
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f860,f792,f596,f152,f3987]) ).

fof(f860,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(X0,sdtpldt0(sK1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f853,f625]) ).

fof(f853,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sK1) = sdtpldt0(X0,sdtpldt0(xn,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f154]) ).

fof(f3985,plain,
    ( spl3_267
    | ~ spl3_11
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f858,f792,f596,f162,f3983]) ).

fof(f858,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_54
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f848,f620]) ).

fof(f848,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK1) = sdtpldt0(X0,sdtpldt0(sz10,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f164]) ).

fof(f3981,plain,
    ( spl3_266
    | ~ spl3_1
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f855,f792,f112,f3979]) ).

fof(f855,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sK1) = sdtpldt0(X0,sdtpldt0(sK1,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f114]) ).

fof(f3977,plain,
    ( spl3_265
    | ~ spl3_2
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f854,f792,f117,f3975]) ).

fof(f854,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtpldt0(sK0,sK1)) = sdtpldt0(sdtpldt0(X0,sK0),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f119]) ).

fof(f3973,plain,
    ( spl3_264
    | ~ spl3_11
    | ~ spl3_199 ),
    inference(avatar_split_clause,[],[f2879,f2631,f162,f3970]) ).

fof(f3970,plain,
    ( spl3_264
  <=> sz00 = sdtasdt0(sdtpldt0(sK0,sz10),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_264])]) ).

fof(f2879,plain,
    ( sz00 = sdtasdt0(sdtpldt0(sK0,sz10),sz00)
    | ~ spl3_11
    | ~ spl3_199 ),
    inference(resolution,[],[f2632,f164]) ).

fof(f3968,plain,
    ( spl3_263
    | ~ spl3_1
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f846,f788,f592,f112,f3966]) ).

fof(f846,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f840,f615]) ).

fof(f840,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sK0) = sdtpldt0(X0,sdtpldt0(sK1,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f114]) ).

fof(f3964,plain,
    ( spl3_262
    | ~ spl3_8
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f844,f788,f592,f147,f3962]) ).

fof(f844,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(X0,sdtpldt0(sK0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f837,f612]) ).

fof(f837,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sK0) = sdtpldt0(X0,sdtpldt0(xm,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f149]) ).

fof(f3960,plain,
    ( spl3_261
    | ~ spl3_11
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f843,f788,f592,f162,f3958]) ).

fof(f843,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_53
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f833,f608]) ).

fof(f833,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz10),sK0) = sdtpldt0(X0,sdtpldt0(sz10,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f164]) ).

fof(f3956,plain,
    ( spl3_260
    | ~ spl3_2
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f839,f788,f117,f3954]) ).

fof(f839,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK0),sK0) = sdtpldt0(X0,sdtpldt0(sK0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f119]) ).

fof(f3952,plain,
    ( spl3_259
    | ~ spl3_9
    | ~ spl3_56
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f831,f784,f604,f152,f3950]) ).

fof(f831,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_56
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f824,f654]) ).

fof(f654,plain,
    ( sdtasdt0(xn,sK1) = sdtasdt0(sK1,xn)
    | ~ spl3_9
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f154]) ).

fof(f824,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK1) = sdtasdt0(X0,sdtasdt0(xn,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f154]) ).

fof(f3948,plain,
    ( spl3_258
    | ~ spl3_8
    | ~ spl3_56
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f830,f784,f604,f147,f3946]) ).

fof(f830,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK1) = sdtasdt0(X0,sdtasdt0(sK1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_56
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f823,f653]) ).

fof(f653,plain,
    ( sdtasdt0(xm,sK1) = sdtasdt0(sK1,xm)
    | ~ spl3_8
    | ~ spl3_56 ),
    inference(resolution,[],[f605,f149]) ).

fof(f823,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK1) = sdtasdt0(X0,sdtasdt0(xm,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f149]) ).

fof(f3944,plain,
    ( spl3_257
    | ~ spl3_1
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f826,f784,f112,f3942]) ).

fof(f826,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sK1) = sdtasdt0(X0,sdtasdt0(sK1,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f114]) ).

fof(f3940,plain,
    ( spl3_256
    | ~ spl3_2
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f825,f784,f117,f3938]) ).

fof(f825,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sdtasdt0(sK0,sK1)) = sdtasdt0(sdtasdt0(X0,sK0),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f119]) ).

fof(f3936,plain,
    ( spl3_255
    | ~ spl3_1
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f809,f780,f600,f112,f3934]) ).

fof(f809,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f803,f639]) ).

fof(f803,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sK0) = sdtasdt0(X0,sdtasdt0(sK1,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f114]) ).

fof(f3932,plain,
    ( spl3_254
    | ~ spl3_9
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f808,f780,f600,f152,f3930]) ).

fof(f808,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f801,f637]) ).

fof(f637,plain,
    ( sdtasdt0(xn,sK0) = sdtasdt0(sK0,xn)
    | ~ spl3_9
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f154]) ).

fof(f801,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xn),sK0) = sdtasdt0(X0,sdtasdt0(xn,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f154]) ).

fof(f3928,plain,
    ( spl3_253
    | ~ spl3_1
    | ~ spl3_198 ),
    inference(avatar_split_clause,[],[f2871,f2627,f112,f3925]) ).

fof(f3925,plain,
    ( spl3_253
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_253])]) ).

fof(f2627,plain,
    ( spl3_198
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_198])]) ).

fof(f2871,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_198 ),
    inference(resolution,[],[f2628,f114]) ).

fof(f2628,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK1,X0)) )
    | ~ spl3_198 ),
    inference(avatar_component_clause,[],[f2627]) ).

fof(f3923,plain,
    ( spl3_252
    | ~ spl3_8
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f807,f780,f600,f147,f3921]) ).

fof(f807,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK0) = sdtasdt0(X0,sdtasdt0(sK0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_55
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f800,f636]) ).

fof(f636,plain,
    ( sdtasdt0(xm,sK0) = sdtasdt0(sK0,xm)
    | ~ spl3_8
    | ~ spl3_55 ),
    inference(resolution,[],[f601,f149]) ).

fof(f800,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,xm),sK0) = sdtasdt0(X0,sdtasdt0(xm,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f149]) ).

fof(f3919,plain,
    ( spl3_251
    | ~ spl3_2
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f802,f780,f117,f3917]) ).

fof(f802,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK0),sK0) = sdtasdt0(X0,sdtasdt0(sK0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f119]) ).

fof(f3745,plain,
    ( spl3_250
    | ~ spl3_9
    | ~ spl3_198 ),
    inference(avatar_split_clause,[],[f2869,f2627,f152,f3742]) ).

fof(f3742,plain,
    ( spl3_250
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK1,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_250])]) ).

fof(f2869,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK1,xn))
    | ~ spl3_9
    | ~ spl3_198 ),
    inference(resolution,[],[f2628,f154]) ).

fof(f3570,plain,
    ( spl3_249
    | ~ spl3_11
    | ~ spl3_198 ),
    inference(avatar_split_clause,[],[f2864,f2627,f162,f3567]) ).

fof(f3567,plain,
    ( spl3_249
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK1,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_249])]) ).

fof(f2864,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK1,sz10))
    | ~ spl3_11
    | ~ spl3_198 ),
    inference(resolution,[],[f2628,f164]) ).

fof(f3393,plain,
    ( spl3_248
    | ~ spl3_1
    | ~ spl3_197 ),
    inference(avatar_split_clause,[],[f2857,f2623,f112,f3390]) ).

fof(f3390,plain,
    ( spl3_248
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_248])]) ).

fof(f2623,plain,
    ( spl3_197
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_197])]) ).

fof(f2857,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sK1))
    | ~ spl3_1
    | ~ spl3_197 ),
    inference(resolution,[],[f2624,f114]) ).

fof(f2624,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK0,X0)) )
    | ~ spl3_197 ),
    inference(avatar_component_clause,[],[f2623]) ).

fof(f3316,plain,
    ( spl3_247
    | ~ spl3_1
    | ~ spl3_50
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1741,f1683,f499,f112,f3314]) ).

fof(f3314,plain,
    ( spl3_247
  <=> ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sdtpldt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_247])]) ).

fof(f1741,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sdtpldt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_50
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1734,f501]) ).

fof(f1734,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),sz00) = sdtpldt0(X0,sdtpldt0(sK1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f114]) ).

fof(f3312,plain,
    ( spl3_246
    | ~ spl3_2
    | ~ spl3_49
    | ~ spl3_139 ),
    inference(avatar_split_clause,[],[f1740,f1683,f494,f117,f3310]) ).

fof(f3310,plain,
    ( spl3_246
  <=> ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sdtpldt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_246])]) ).

fof(f1740,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sdtpldt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_49
    | ~ spl3_139 ),
    inference(forward_demodulation,[],[f1733,f496]) ).

fof(f1733,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK0),sz00) = sdtpldt0(X0,sdtpldt0(sK0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_139 ),
    inference(resolution,[],[f1684,f119]) ).

fof(f3308,plain,
    ( spl3_245
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1725,f1679,f479,f112,f3306]) ).

fof(f3306,plain,
    ( spl3_245
  <=> ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sdtasdt0(X0,sK1),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_245])]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sdtasdt0(X0,sK1),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_46
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1718,f481]) ).

fof(f1718,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sz10) = sdtasdt0(X0,sdtasdt0(sK1,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f114]) ).

fof(f3304,plain,
    ( spl3_244
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_138 ),
    inference(avatar_split_clause,[],[f1724,f1679,f474,f117,f3302]) ).

fof(f3302,plain,
    ( spl3_244
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sdtasdt0(X0,sK0),sz10)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_244])]) ).

fof(f1724,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sdtasdt0(X0,sK0),sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_45
    | ~ spl3_138 ),
    inference(forward_demodulation,[],[f1717,f476]) ).

fof(f1717,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK0),sz10) = sdtasdt0(X0,sdtasdt0(sK0,sz10))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_138 ),
    inference(resolution,[],[f1680,f119]) ).

fof(f3300,plain,
    ( spl3_243
    | ~ spl3_1
    | ~ spl3_25
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1709,f1670,f271,f112,f3298]) ).

fof(f3298,plain,
    ( spl3_243
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_243])]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sK1),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_25
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1702,f273]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK1),sz00) = sdtasdt0(X0,sdtasdt0(sK1,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f114]) ).

fof(f3296,plain,
    ( spl3_242
    | ~ spl3_2
    | ~ spl3_20
    | ~ spl3_136 ),
    inference(avatar_split_clause,[],[f1708,f1670,f212,f117,f3294]) ).

fof(f3294,plain,
    ( spl3_242
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_242])]) ).

fof(f1708,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sK0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_20
    | ~ spl3_136 ),
    inference(forward_demodulation,[],[f1701,f214]) ).

fof(f1701,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sK0),sz00) = sdtasdt0(X0,sdtasdt0(sK0,sz00))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_136 ),
    inference(resolution,[],[f1671,f119]) ).

fof(f3292,plain,
    ( spl3_241
    | ~ spl3_2
    | ~ spl3_197 ),
    inference(avatar_split_clause,[],[f2856,f2623,f117,f3289]) ).

fof(f3289,plain,
    ( spl3_241
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_241])]) ).

fof(f2856,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_197 ),
    inference(resolution,[],[f2624,f119]) ).

fof(f3287,plain,
    ( spl3_240
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_135 ),
    inference(avatar_split_clause,[],[f1668,f1616,f644,f117,f3285]) ).

fof(f1668,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,sK0),xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_57
    | ~ spl3_135 ),
    inference(forward_demodulation,[],[f1664,f646]) ).

fof(f1664,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK0),xn) = sdtpldt0(X0,sdtpldt0(sK0,xn))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_135 ),
    inference(resolution,[],[f1617,f119]) ).

fof(f3283,plain,
    ( spl3_239
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_134 ),
    inference(avatar_split_clause,[],[f1656,f1612,f702,f112,f3281]) ).

fof(f1656,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sK1),xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_63
    | ~ spl3_134 ),
    inference(forward_demodulation,[],[f1652,f704]) ).

fof(f1652,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sK1),xm) = sdtpldt0(X0,sdtpldt0(sK1,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_134 ),
    inference(resolution,[],[f1613,f114]) ).

fof(f3278,plain,
    ( spl3_238
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1575,f1551,f127,f147,f152,f3275]) ).

fof(f3275,plain,
    ( spl3_238
  <=> sz00 = sdtasdt0(sz00,sK2(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_238])]) ).

fof(f1575,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sz00 = sdtasdt0(sz00,sK2(xn,xm))
    | ~ spl3_4
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f129]) ).

fof(f3272,plain,
    ( spl3_237
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_128 ),
    inference(avatar_split_clause,[],[f1574,f1551,f122,f152,f147,f3269]) ).

fof(f3269,plain,
    ( spl3_237
  <=> sz00 = sdtasdt0(sz00,sK2(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_237])]) ).

fof(f1574,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sz00 = sdtasdt0(sz00,sK2(xm,xn))
    | ~ spl3_3
    | ~ spl3_128 ),
    inference(resolution,[],[f1552,f124]) ).

fof(f3266,plain,
    ( spl3_236
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1567,f1547,f127,f147,f152,f3263]) ).

fof(f3263,plain,
    ( spl3_236
  <=> sz00 = sdtasdt0(sK2(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_236])]) ).

fof(f1567,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sz00 = sdtasdt0(sK2(xn,xm),sz00)
    | ~ spl3_4
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f129]) ).

fof(f3260,plain,
    ( spl3_235
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_127 ),
    inference(avatar_split_clause,[],[f1566,f1547,f122,f152,f147,f3257]) ).

fof(f3257,plain,
    ( spl3_235
  <=> sz00 = sdtasdt0(sK2(xm,xn),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_235])]) ).

fof(f1566,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | sz00 = sdtasdt0(sK2(xm,xn),sz00)
    | ~ spl3_3
    | ~ spl3_127 ),
    inference(resolution,[],[f1548,f124]) ).

fof(f3255,plain,
    ( spl3_234
    | ~ spl3_1
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1544,f1458,f112,f3253]) ).

fof(f1544,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sdtasdt0(sK1,X0),sz10) )
    | ~ spl3_1
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f114]) ).

fof(f3251,plain,
    ( spl3_233
    | ~ spl3_2
    | ~ spl3_125 ),
    inference(avatar_split_clause,[],[f1543,f1458,f117,f3249]) ).

fof(f1543,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sdtasdt0(sK0,X0),sz10) )
    | ~ spl3_2
    | ~ spl3_125 ),
    inference(resolution,[],[f1459,f119]) ).

fof(f3247,plain,
    ( spl3_232
    | ~ spl3_1
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1534,f1454,f112,f3245]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtasdt0(sz10,sdtasdt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f114]) ).

fof(f3243,plain,
    ( spl3_231
    | ~ spl3_2
    | ~ spl3_124 ),
    inference(avatar_split_clause,[],[f1533,f1454,f117,f3241]) ).

fof(f1533,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtasdt0(sz10,sdtasdt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_124 ),
    inference(resolution,[],[f1455,f119]) ).

fof(f3239,plain,
    ( spl3_230
    | ~ spl3_8
    | ~ spl3_197 ),
    inference(avatar_split_clause,[],[f2854,f2623,f147,f3236]) ).

fof(f3236,plain,
    ( spl3_230
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK0,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_230])]) ).

fof(f2854,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK0,xm))
    | ~ spl3_8
    | ~ spl3_197 ),
    inference(resolution,[],[f2624,f149]) ).

fof(f3234,plain,
    ( spl3_229
    | ~ spl3_1
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1524,f1450,f112,f3232]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sdtasdt0(sK1,X0),sz00) )
    | ~ spl3_1
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f114]) ).

fof(f3230,plain,
    ( spl3_228
    | ~ spl3_2
    | ~ spl3_123 ),
    inference(avatar_split_clause,[],[f1523,f1450,f117,f3228]) ).

fof(f1523,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sdtasdt0(sK0,X0),sz00) )
    | ~ spl3_2
    | ~ spl3_123 ),
    inference(resolution,[],[f1451,f119]) ).

fof(f3226,plain,
    ( spl3_227
    | ~ spl3_1
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1509,f1446,f112,f3224]) ).

fof(f1509,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK1,X0) = sdtpldt0(sz00,sdtasdt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f114]) ).

fof(f3222,plain,
    ( spl3_226
    | ~ spl3_2
    | ~ spl3_122 ),
    inference(avatar_split_clause,[],[f1508,f1446,f117,f3220]) ).

fof(f1508,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sK0,X0) = sdtpldt0(sz00,sdtasdt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_122 ),
    inference(resolution,[],[f1447,f119]) ).

fof(f3218,plain,
    ( spl3_225
    | ~ spl3_1
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1499,f1442,f112,f3216]) ).

fof(f1499,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sdtpldt0(sK1,X0),sz10) )
    | ~ spl3_1
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f114]) ).

fof(f3214,plain,
    ( spl3_224
    | ~ spl3_2
    | ~ spl3_121 ),
    inference(avatar_split_clause,[],[f1498,f1442,f117,f3212]) ).

fof(f1498,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sdtpldt0(sK0,X0),sz10) )
    | ~ spl3_2
    | ~ spl3_121 ),
    inference(resolution,[],[f1443,f119]) ).

fof(f3210,plain,
    ( spl3_223
    | ~ spl3_1
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1489,f1433,f112,f3208]) ).

fof(f1489,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtasdt0(sz10,sdtpldt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f114]) ).

fof(f3206,plain,
    ( spl3_222
    | ~ spl3_2
    | ~ spl3_119 ),
    inference(avatar_split_clause,[],[f1488,f1433,f117,f3204]) ).

fof(f1488,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtasdt0(sz10,sdtpldt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_119 ),
    inference(resolution,[],[f1434,f119]) ).

fof(f3202,plain,
    ( spl3_221
    | ~ spl3_1
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1479,f1429,f112,f3200]) ).

fof(f1479,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sdtpldt0(sK1,X0),sz00) )
    | ~ spl3_1
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f114]) ).

fof(f3198,plain,
    ( spl3_220
    | ~ spl3_2
    | ~ spl3_118 ),
    inference(avatar_split_clause,[],[f1478,f1429,f117,f3196]) ).

fof(f1478,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sdtpldt0(sK0,X0),sz00) )
    | ~ spl3_2
    | ~ spl3_118 ),
    inference(resolution,[],[f1430,f119]) ).

fof(f3194,plain,
    ( spl3_219
    | ~ spl3_11
    | ~ spl3_197 ),
    inference(avatar_split_clause,[],[f2850,f2623,f162,f3191]) ).

fof(f3191,plain,
    ( spl3_219
  <=> sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_219])]) ).

fof(f2850,plain,
    ( sz00 = sdtasdt0(sz00,sdtpldt0(sK0,sz10))
    | ~ spl3_11
    | ~ spl3_197 ),
    inference(resolution,[],[f2624,f164]) ).

fof(f3189,plain,
    ( spl3_218
    | ~ spl3_1
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1469,f1425,f112,f3187]) ).

fof(f1469,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK1,X0) = sdtpldt0(sz00,sdtpldt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f114]) ).

fof(f3185,plain,
    ( spl3_217
    | ~ spl3_2
    | ~ spl3_117 ),
    inference(avatar_split_clause,[],[f1468,f1425,f117,f3183]) ).

fof(f1468,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sK0,X0) = sdtpldt0(sz00,sdtpldt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_117 ),
    inference(resolution,[],[f1426,f119]) ).

fof(f3181,plain,
    ( spl3_216
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f859,f792,f147,f137,f3179]) ).

fof(f859,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f852,f139]) ).

fof(f852,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xm),sK1) = sdtpldt0(X0,sdtpldt0(xm,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f149]) ).

fof(f3177,plain,
    ( spl3_215
    | ~ spl3_10
    | ~ spl3_52
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f857,f792,f509,f157,f3175]) ).

fof(f3175,plain,
    ( spl3_215
  <=> ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sdtpldt0(X0,sz00),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_215])]) ).

fof(f857,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sdtpldt0(X0,sz00),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_52
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f847,f511]) ).

fof(f847,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sK1) = sdtpldt0(X0,sdtpldt0(sz00,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_74 ),
    inference(resolution,[],[f793,f159]) ).

fof(f3173,plain,
    ( spl3_214
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f845,f788,f152,f142,f3171]) ).

fof(f845,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xn),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f838,f144]) ).

fof(f838,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,xn),sK0) = sdtpldt0(X0,sdtpldt0(xn,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f154]) ).

fof(f3169,plain,
    ( spl3_213
    | ~ spl3_10
    | ~ spl3_51
    | ~ spl3_73 ),
    inference(avatar_split_clause,[],[f842,f788,f504,f157,f3167]) ).

fof(f3167,plain,
    ( spl3_213
  <=> ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sdtpldt0(X0,sz00),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_213])]) ).

fof(f842,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sdtpldt0(X0,sz00),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_51
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f832,f506]) ).

fof(f832,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtpldt0(X0,sz00),sK0) = sdtpldt0(X0,sdtpldt0(sz00,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_73 ),
    inference(resolution,[],[f789,f159]) ).

fof(f3165,plain,
    ( spl3_212
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f829,f784,f489,f162,f3163]) ).

fof(f3163,plain,
    ( spl3_212
  <=> ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sdtasdt0(X0,sz10),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_212])]) ).

fof(f829,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sdtasdt0(X0,sz10),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_48
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f819,f491]) ).

fof(f819,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sK1) = sdtasdt0(X0,sdtasdt0(sz10,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f164]) ).

fof(f3161,plain,
    ( spl3_211
    | ~ spl3_10
    | ~ spl3_37
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f828,f784,f375,f157,f3159]) ).

fof(f3159,plain,
    ( spl3_211
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sK1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_211])]) ).

fof(f828,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sK1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_37
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f818,f377]) ).

fof(f818,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sK1) = sdtasdt0(X0,sdtasdt0(sz00,sK1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_72 ),
    inference(resolution,[],[f785,f159]) ).

fof(f2973,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | ~ spl3_4
    | ~ spl3_26
    | spl3_196 ),
    inference(avatar_split_clause,[],[f2621,f2617,f276,f127,f147,f152]) ).

fof(f2621,plain,
    ( ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_26
    | spl3_196 ),
    inference(resolution,[],[f2619,f277]) ).

fof(f2619,plain,
    ( ~ aNaturalNumber0(sK2(xn,xm))
    | spl3_196 ),
    inference(avatar_component_clause,[],[f2617]) ).

fof(f2972,plain,
    ( spl3_210
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f806,f780,f484,f162,f2970]) ).

fof(f2970,plain,
    ( spl3_210
  <=> ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sdtasdt0(X0,sz10),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_210])]) ).

fof(f806,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sdtasdt0(X0,sz10),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_47
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f796,f486]) ).

fof(f796,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz10),sK0) = sdtasdt0(X0,sdtasdt0(sz10,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f164]) ).

fof(f2968,plain,
    ( spl3_209
    | ~ spl3_10
    | ~ spl3_30
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f805,f780,f332,f157,f2966]) ).

fof(f2966,plain,
    ( spl3_209
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sK0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_209])]) ).

fof(f805,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sK0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_30
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f795,f334]) ).

fof(f795,plain,
    ( ! [X0] :
        ( sdtasdt0(sdtasdt0(X0,sz00),sK0) = sdtasdt0(X0,sdtasdt0(sz00,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_71 ),
    inference(resolution,[],[f781,f159]) ).

fof(f2847,plain,
    ( ~ spl3_10
    | spl3_208
    | ~ spl3_2
    | ~ spl3_51
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1781,f1691,f504,f117,f2844,f157]) ).

fof(f2844,plain,
    ( spl3_208
  <=> sK0 = sdtmndt0(sK0,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_208])]) ).

fof(f1781,plain,
    ( ~ aNaturalNumber0(sK0)
    | sK0 = sdtmndt0(sK0,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_51
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1760]) ).

fof(f1760,plain,
    ( ~ aNaturalNumber0(sK0)
    | sK0 = sdtmndt0(sK0,sz00)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_51
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f506]) ).

fof(f2841,plain,
    ( ~ spl3_10
    | spl3_207
    | ~ spl3_1
    | ~ spl3_52
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1780,f1691,f509,f112,f2838,f157]) ).

fof(f2838,plain,
    ( spl3_207
  <=> sK1 = sdtmndt0(sK1,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_207])]) ).

fof(f1780,plain,
    ( ~ aNaturalNumber0(sK1)
    | sK1 = sdtmndt0(sK1,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_52
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1761]) ).

fof(f1761,plain,
    ( ~ aNaturalNumber0(sK1)
    | sK1 = sdtmndt0(sK1,sz00)
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_52
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f511]) ).

fof(f2833,plain,
    ( ~ spl3_10
    | spl3_206
    | ~ spl3_2
    | ~ spl3_49
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1776,f1691,f494,f117,f2830,f157]) ).

fof(f2830,plain,
    ( spl3_206
  <=> sz00 = sdtmndt0(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_206])]) ).

fof(f1776,plain,
    ( ~ aNaturalNumber0(sK0)
    | sz00 = sdtmndt0(sK0,sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_49
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1771]) ).

fof(f1771,plain,
    ( ~ aNaturalNumber0(sK0)
    | sz00 = sdtmndt0(sK0,sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK0)
    | ~ spl3_49
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f496]) ).

fof(f2825,plain,
    ( ~ spl3_10
    | spl3_205
    | ~ spl3_1
    | ~ spl3_50
    | ~ spl3_141 ),
    inference(avatar_split_clause,[],[f1775,f1691,f499,f112,f2822,f157]) ).

fof(f2822,plain,
    ( spl3_205
  <=> sz00 = sdtmndt0(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_205])]) ).

fof(f1775,plain,
    ( ~ aNaturalNumber0(sK1)
    | sz00 = sdtmndt0(sK1,sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_50
    | ~ spl3_141 ),
    inference(duplicate_literal_removal,[],[f1773]) ).

fof(f1773,plain,
    ( ~ aNaturalNumber0(sK1)
    | sz00 = sdtmndt0(sK1,sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK1)
    | ~ spl3_50
    | ~ spl3_141 ),
    inference(superposition,[],[f1692,f501]) ).

fof(f2820,plain,
    ( spl3_204
    | ~ spl3_1
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1422,f1381,f112,f2818]) ).

fof(f1422,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK1,X0),sz00) )
    | ~ spl3_1
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f114]) ).

fof(f2650,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | ~ spl3_3
    | ~ spl3_26
    | spl3_194 ),
    inference(avatar_split_clause,[],[f2611,f2607,f276,f122,f152,f147]) ).

fof(f2611,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_26
    | spl3_194 ),
    inference(resolution,[],[f2609,f277]) ).

fof(f2609,plain,
    ( ~ aNaturalNumber0(sK2(xm,xn))
    | spl3_194 ),
    inference(avatar_component_clause,[],[f2607]) ).

fof(f2649,plain,
    ( spl3_203
    | ~ spl3_2
    | ~ spl3_116 ),
    inference(avatar_split_clause,[],[f1421,f1381,f117,f2647]) ).

fof(f1421,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sK0,X0),sz00) )
    | ~ spl3_2
    | ~ spl3_116 ),
    inference(resolution,[],[f1382,f119]) ).

fof(f2645,plain,
    ( spl3_202
    | ~ spl3_1
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1412,f1377,f112,f2643]) ).

fof(f1412,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f114]) ).

fof(f2641,plain,
    ( spl3_201
    | ~ spl3_2
    | ~ spl3_115 ),
    inference(avatar_split_clause,[],[f1411,f1377,f117,f2639]) ).

fof(f1411,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_115 ),
    inference(resolution,[],[f1378,f119]) ).

fof(f2637,plain,
    ( spl3_200
    | ~ spl3_1
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1402,f1373,f112,f2635]) ).

fof(f1402,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK1,X0),sz00) )
    | ~ spl3_1
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f114]) ).

fof(f2633,plain,
    ( spl3_199
    | ~ spl3_2
    | ~ spl3_114 ),
    inference(avatar_split_clause,[],[f1401,f1373,f117,f2631]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sK0,X0),sz00) )
    | ~ spl3_2
    | ~ spl3_114 ),
    inference(resolution,[],[f1374,f119]) ).

fof(f2629,plain,
    ( spl3_198
    | ~ spl3_1
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1392,f1364,f112,f2627]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK1,X0)) )
    | ~ spl3_1
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f114]) ).

fof(f2625,plain,
    ( spl3_197
    | ~ spl3_2
    | ~ spl3_112 ),
    inference(avatar_split_clause,[],[f1391,f1364,f117,f2623]) ).

fof(f1391,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sK0,X0)) )
    | ~ spl3_2
    | ~ spl3_112 ),
    inference(resolution,[],[f1365,f119]) ).

fof(f2620,plain,
    ( spl3_195
    | ~ spl3_196
    | ~ spl3_61
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f744,f737,f684,f2617,f2613]) ).

fof(f2613,plain,
    ( spl3_195
  <=> sK0 = sK2(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_195])]) ).

fof(f744,plain,
    ( ~ aNaturalNumber0(sK2(xn,xm))
    | sK0 = sK2(xn,xm)
    | ~ spl3_61
    | ~ spl3_66 ),
    inference(trivial_inequality_removal,[],[f741]) ).

fof(f741,plain,
    ( xm != xm
    | ~ aNaturalNumber0(sK2(xn,xm))
    | sK0 = sK2(xn,xm)
    | ~ spl3_61
    | ~ spl3_66 ),
    inference(superposition,[],[f738,f686]) ).

fof(f2610,plain,
    ( spl3_193
    | ~ spl3_194
    | ~ spl3_60
    | ~ spl3_65 ),
    inference(avatar_split_clause,[],[f735,f728,f671,f2607,f2603]) ).

fof(f2603,plain,
    ( spl3_193
  <=> sK1 = sK2(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_193])]) ).

fof(f735,plain,
    ( ~ aNaturalNumber0(sK2(xm,xn))
    | sK1 = sK2(xm,xn)
    | ~ spl3_60
    | ~ spl3_65 ),
    inference(trivial_inequality_removal,[],[f732]) ).

fof(f732,plain,
    ( xn != xn
    | ~ aNaturalNumber0(sK2(xm,xn))
    | sK1 = sK2(xm,xn)
    | ~ spl3_60
    | ~ spl3_65 ),
    inference(superposition,[],[f729,f673]) ).

fof(f2601,plain,
    ( spl3_58
    | ~ spl3_10
    | ~ spl3_192
    | ~ spl3_51
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f763,f752,f504,f2598,f157,f661]) ).

fof(f763,plain,
    ( xm != sK0
    | ~ aNaturalNumber0(sz00)
    | sz00 = xn
    | ~ spl3_51
    | ~ spl3_68 ),
    inference(superposition,[],[f753,f506]) ).

fof(f2596,plain,
    ( spl3_59
    | ~ spl3_10
    | ~ spl3_191
    | ~ spl3_52
    | ~ spl3_67 ),
    inference(avatar_split_clause,[],[f749,f746,f509,f2593,f157,f666]) ).

fof(f749,plain,
    ( xn != sK1
    | ~ aNaturalNumber0(sz00)
    | sz00 = xm
    | ~ spl3_52
    | ~ spl3_67 ),
    inference(superposition,[],[f747,f511]) ).

fof(f2467,plain,
    ( spl3_190
    | ~ spl3_1
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1361,f1284,f112,f2464]) ).

fof(f2464,plain,
    ( spl3_190
  <=> sK1 = sdtpldt0(sK1,sdtmndt0(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_190])]) ).

fof(f1361,plain,
    ( sK1 = sdtpldt0(sK1,sdtmndt0(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f114]) ).

fof(f2452,plain,
    ( spl3_189
    | ~ spl3_26
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f464,f432,f276,f2450]) ).

fof(f432,plain,
    ( spl3_43
  <=> ! [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,[spl3_43])]) ).

fof(f464,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK2(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK2(X1,X2),X3))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3)
        | ~ sdtlseqdt0(X1,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_26
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f277]) ).

fof(f433,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_43 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2448,plain,
    ( spl3_188
    | ~ spl3_27
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f459,f432,f280,f2446]) ).

fof(f459,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) )
    | ~ spl3_27
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f281]) ).

fof(f2444,plain,
    ( spl3_187
    | ~ spl3_26
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f454,f428,f276,f2442]) ).

fof(f428,plain,
    ( spl3_42
  <=> ! [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,[spl3_42])]) ).

fof(f454,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK2(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f277]) ).

fof(f429,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_42 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f2440,plain,
    ( spl3_186
    | ~ spl3_27
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f449,f428,f280,f2438]) ).

fof(f449,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) )
    | ~ spl3_27
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f281]) ).

fof(f2400,plain,
    ( spl3_185
    | ~ spl3_26
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f418,f396,f276,f2398]) ).

fof(f396,plain,
    ( spl3_39
  <=> ! [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,[spl3_39])]) ).

fof(f418,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK2(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f277]) ).

fof(f397,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_39 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2396,plain,
    ( spl3_184
    | ~ spl3_2
    | ~ spl3_111 ),
    inference(avatar_split_clause,[],[f1360,f1284,f117,f2393]) ).

fof(f2393,plain,
    ( spl3_184
  <=> sK0 = sdtpldt0(sK0,sdtmndt0(sK0,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_184])]) ).

fof(f1360,plain,
    ( sK0 = sdtpldt0(sK0,sdtmndt0(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_111 ),
    inference(resolution,[],[f1285,f119]) ).

fof(f2391,plain,
    ( spl3_183
    | ~ spl3_27
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f413,f396,f280,f2389]) ).

fof(f413,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) )
    | ~ spl3_27
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f281]) ).

fof(f2387,plain,
    ( spl3_182
    | ~ spl3_26
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f408,f392,f276,f2385]) ).

fof(f392,plain,
    ( spl3_38
  <=> ! [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,[spl3_38])]) ).

fof(f408,plain,
    ( ! [X2,X3,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK2(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2,X3)))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_26
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f277]) ).

fof(f393,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_38 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2383,plain,
    ( spl3_181
    | ~ spl3_27
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f403,f392,f280,f2381]) ).

fof(f403,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) )
    | ~ spl3_27
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f281]) ).

fof(f2339,plain,
    ( spl3_180
    | ~ spl3_22
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f458,f432,f245,f2337]) ).

fof(f458,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) )
    | ~ spl3_22
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f246]) ).

fof(f2335,plain,
    ( spl3_179
    | ~ spl3_21
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f457,f432,f241,f2333]) ).

fof(f457,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) )
    | ~ spl3_21
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f242]) ).

fof(f2331,plain,
    ( spl3_178
    | ~ spl3_22
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f448,f428,f245,f2329]) ).

fof(f448,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) )
    | ~ spl3_22
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f246]) ).

fof(f2327,plain,
    ( spl3_177
    | ~ spl3_1
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1351,f1280,f112,f2324]) ).

fof(f1351,plain,
    ( sK1 = sdtpldt0(sK1,sK2(sK1,sK1))
    | ~ spl3_1
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f114]) ).

fof(f2322,plain,
    ( spl3_176
    | ~ spl3_21
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f447,f428,f241,f2320]) ).

fof(f447,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) )
    | ~ spl3_21
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f242]) ).

fof(f2278,plain,
    ( spl3_175
    | ~ spl3_22
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f412,f396,f245,f2276]) ).

fof(f412,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) )
    | ~ spl3_22
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f246]) ).

fof(f2274,plain,
    ( spl3_174
    | ~ spl3_21
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f411,f396,f241,f2272]) ).

fof(f411,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) )
    | ~ spl3_21
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f242]) ).

fof(f2270,plain,
    ( spl3_173
    | ~ spl3_22
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f402,f392,f245,f2268]) ).

fof(f402,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) )
    | ~ spl3_22
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f246]) ).

fof(f2266,plain,
    ( spl3_172
    | ~ spl3_21
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f401,f392,f241,f2264]) ).

fof(f401,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) )
    | ~ spl3_21
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f242]) ).

fof(f2252,plain,
    ( spl3_171
    | ~ spl3_2
    | ~ spl3_110 ),
    inference(avatar_split_clause,[],[f1350,f1280,f117,f2249]) ).

fof(f1350,plain,
    ( sK0 = sdtpldt0(sK0,sK2(sK0,sK0))
    | ~ spl3_2
    | ~ spl3_110 ),
    inference(resolution,[],[f1281,f119]) ).

fof(f2221,plain,
    ( spl3_170
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f314,f280,f267,f2219]) ).

fof(f267,plain,
    ( spl3_24
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f314,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f268]) ).

fof(f268,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f2217,plain,
    ( spl3_169
    | ~ spl3_23
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f313,f280,f263,f2215]) ).

fof(f263,plain,
    ( spl3_23
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f313,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_23
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f264]) ).

fof(f264,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f2213,plain,
    ( spl3_168
    | ~ spl3_24
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f306,f276,f267,f2211]) ).

fof(f306,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(X2,sK2(X0,X1)) = sdtasdt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_24
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f268]) ).

fof(f2209,plain,
    ( spl3_167
    | ~ spl3_23
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f305,f276,f263,f2207]) ).

fof(f305,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtpldt0(X2,sK2(X0,X1)) = sdtpldt0(sK2(X0,X1),X2)
        | ~ aNaturalNumber0(X2) )
    | ~ spl3_23
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f264]) ).

fof(f2137,plain,
    ( spl3_166
    | ~ spl3_31
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f360,f347,f337,f2135]) ).

fof(f347,plain,
    ( spl3_33
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).

fof(f360,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_33 ),
    inference(duplicate_literal_removal,[],[f359]) ).

fof(f359,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) )
    | ~ spl3_31
    | ~ spl3_33 ),
    inference(resolution,[],[f348,f338]) ).

fof(f348,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_33 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f2123,plain,
    ( spl3_165
    | ~ spl3_31
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f354,f343,f337,f2121]) ).

fof(f354,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_32 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f353,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1)))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_31
    | ~ spl3_32 ),
    inference(resolution,[],[f344,f338]) ).

fof(f2018,plain,
    ( spl3_164
    | ~ spl3_11
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f456,f432,f162,f2016]) ).

fof(f456,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_11
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f164]) ).

fof(f2005,plain,
    ( spl3_163
    | ~ spl3_10
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f455,f432,f157,f2003]) ).

fof(f455,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_10
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f159]) ).

fof(f2001,plain,
    ( spl3_162
    | ~ spl3_11
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f446,f428,f162,f1999]) ).

fof(f446,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f164]) ).

fof(f1997,plain,
    ( spl3_161
    | ~ spl3_10
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f445,f428,f157,f1995]) ).

fof(f445,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f159]) ).

fof(f1993,plain,
    ( spl3_160
    | ~ spl3_22
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f294,f267,f245,f1991]) ).

fof(f294,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f246]) ).

fof(f1989,plain,
    ( spl3_159
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f293,f267,f241,f1987]) ).

fof(f293,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f242]) ).

fof(f1985,plain,
    ( spl3_158
    | ~ spl3_22
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f286,f263,f245,f1983]) ).

fof(f286,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_22
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f246]) ).

fof(f1981,plain,
    ( spl3_157
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f285,f263,f241,f1979]) ).

fof(f285,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f242]) ).

fof(f1936,plain,
    ( spl3_156
    | ~ spl3_9
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f654,f604,f152,f1933]) ).

fof(f1918,plain,
    ( spl3_155
    | ~ spl3_9
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f461,f432,f152,f1916]) ).

fof(f461,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_9
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f154]) ).

fof(f1914,plain,
    ( spl3_154
    | ~ spl3_8
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f460,f432,f147,f1912]) ).

fof(f460,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_8
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f149]) ).

fof(f1910,plain,
    ( spl3_153
    | ~ spl3_9
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f451,f428,f152,f1908]) ).

fof(f451,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f154]) ).

fof(f1906,plain,
    ( spl3_152
    | ~ spl3_8
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f450,f428,f147,f1904]) ).

fof(f450,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f149]) ).

fof(f1854,plain,
    ( spl3_151
    | ~ spl3_8
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f653,f604,f147,f1851]) ).

fof(f1825,plain,
    ( spl3_150
    | ~ spl3_19
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f312,f280,f196,f1823]) ).

fof(f196,plain,
    ( spl3_19
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl3_19
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f197]) ).

fof(f197,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = X0 )
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f1821,plain,
    ( spl3_149
    | ~ spl3_18
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f311,f280,f192,f1819]) ).

fof(f192,plain,
    ( spl3_18
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl3_18
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f193]) ).

fof(f193,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = X0 )
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f1817,plain,
    ( spl3_148
    | ~ spl3_17
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f310,f280,f188,f1815]) ).

fof(f188,plain,
    ( spl3_17
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f310,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
    | ~ spl3_17
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f189]) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = X0 )
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f1813,plain,
    ( spl3_147
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f309,f280,f184,f1811]) ).

fof(f184,plain,
    ( spl3_16
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f309,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f185]) ).

fof(f185,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = X0 )
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f1809,plain,
    ( spl3_146
    | ~ spl3_19
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f304,f276,f196,f1807]) ).

fof(f304,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sz00,sK2(X0,X1)) )
    | ~ spl3_19
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f197]) ).

fof(f1805,plain,
    ( spl3_145
    | ~ spl3_18
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f303,f276,f192,f1803]) ).

fof(f303,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtpldt0(sK2(X0,X1),sz00) )
    | ~ spl3_18
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f193]) ).

fof(f1801,plain,
    ( spl3_144
    | ~ spl3_17
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f302,f276,f188,f1799]) ).

fof(f302,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sz10,sK2(X0,X1)) )
    | ~ spl3_17
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f189]) ).

fof(f1797,plain,
    ( spl3_143
    | ~ spl3_1
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f639,f600,f112,f1794]) ).

fof(f1792,plain,
    ( spl3_142
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f301,f276,f184,f1790]) ).

fof(f301,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sK2(X0,X1) = sdtasdt0(sK2(X0,X1),sz10) )
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f185]) ).

fof(f1693,plain,
    ( spl3_141
    | ~ spl3_31
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f472,f466,f337,f1691]) ).

fof(f466,plain,
    ( spl3_44
  <=> ! [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,[spl3_44])]) ).

fof(f472,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtmndt0(sdtpldt0(X1,X0),X1) = X0
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_31
    | ~ spl3_44 ),
    inference(duplicate_literal_removal,[],[f469]) ).

fof(f469,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) )
    | ~ spl3_31
    | ~ spl3_44 ),
    inference(resolution,[],[f467,f338]) ).

fof(f467,plain,
    ( ! [X2,X0] :
        ( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | sdtmndt0(sdtpldt0(X0,X2),X0) = X2
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_44 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1689,plain,
    ( spl3_140
    | ~ spl3_11
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f410,f396,f162,f1687]) ).

fof(f410,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f164]) ).

fof(f1685,plain,
    ( spl3_139
    | ~ spl3_10
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f409,f396,f157,f1683]) ).

fof(f409,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f159]) ).

fof(f1681,plain,
    ( spl3_138
    | ~ spl3_11
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f400,f392,f162,f1679]) ).

fof(f400,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f164]) ).

fof(f1677,plain,
    ( spl3_137
    | ~ spl3_9
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f637,f600,f152,f1674]) ).

fof(f1672,plain,
    ( spl3_136
    | ~ spl3_10
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f399,f392,f157,f1670]) ).

fof(f399,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f159]) ).

fof(f1618,plain,
    ( spl3_135
    | ~ spl3_9
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f415,f396,f152,f1616]) ).

fof(f415,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f154]) ).

fof(f1614,plain,
    ( spl3_134
    | ~ spl3_8
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f414,f396,f147,f1612]) ).

fof(f414,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f149]) ).

fof(f1610,plain,
    ( spl3_133
    | ~ spl3_9
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f405,f392,f152,f1608]) ).

fof(f405,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f154]) ).

fof(f1606,plain,
    ( spl3_132
    | ~ spl3_8
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f404,f392,f147,f1604]) ).

fof(f404,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f149]) ).

fof(f1592,plain,
    ( spl3_131
    | ~ spl3_8
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f636,f600,f147,f1589]) ).

fof(f1561,plain,
    ( spl3_130
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f308,f280,f180,f1559]) ).

fof(f180,plain,
    ( spl3_15
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f308,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f181]) ).

fof(f181,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,X0) )
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f1557,plain,
    ( spl3_129
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f307,f280,f176,f1555]) ).

fof(f176,plain,
    ( spl3_14
  <=> ! [X0] :
        ( sz00 = sdtasdt0(X0,sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f307,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(resolution,[],[f281,f177]) ).

fof(f177,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(X0,sz00) )
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f1553,plain,
    ( spl3_128
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f300,f276,f180,f1551]) ).

fof(f300,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sK2(X0,X1)) )
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f181]) ).

fof(f1549,plain,
    ( spl3_127
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(avatar_split_clause,[],[f299,f276,f176,f1547]) ).

fof(f299,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK2(X0,X1),sz00) )
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(resolution,[],[f277,f177]) ).

fof(f1515,plain,
    ( spl3_126
    | ~ spl3_9
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f625,f596,f152,f1512]) ).

fof(f1460,plain,
    ( spl3_125
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f259,f245,f184,f1458]) ).

fof(f259,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f185]) ).

fof(f1456,plain,
    ( spl3_124
    | ~ spl3_17
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f258,f245,f188,f1454]) ).

fof(f258,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
    | ~ spl3_17
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f189]) ).

fof(f1452,plain,
    ( spl3_123
    | ~ spl3_18
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f257,f245,f192,f1450]) ).

fof(f257,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl3_18
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f193]) ).

fof(f1448,plain,
    ( spl3_122
    | ~ spl3_19
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f256,f245,f196,f1446]) ).

fof(f256,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl3_19
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f197]) ).

fof(f1444,plain,
    ( spl3_121
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f251,f241,f184,f1442]) ).

fof(f251,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f185]) ).

fof(f1440,plain,
    ( spl3_120
    | ~ spl3_11
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f620,f596,f162,f1437]) ).

fof(f1435,plain,
    ( spl3_119
    | ~ spl3_17
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f250,f241,f188,f1433]) ).

fof(f250,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
    | ~ spl3_17
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f189]) ).

fof(f1431,plain,
    ( spl3_118
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f249,f241,f192,f1429]) ).

fof(f249,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f193]) ).

fof(f1427,plain,
    ( spl3_117
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f248,f241,f196,f1425]) ).

fof(f248,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f197]) ).

fof(f1383,plain,
    ( spl3_116
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f261,f245,f176,f1381]) ).

fof(f261,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f177]) ).

fof(f1379,plain,
    ( spl3_115
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f260,f245,f180,f1377]) ).

fof(f260,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(resolution,[],[f246,f181]) ).

fof(f1375,plain,
    ( spl3_114
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f253,f241,f176,f1373]) ).

fof(f253,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f177]) ).

fof(f1371,plain,
    ( spl3_113
    | ~ spl3_1
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f615,f592,f112,f1368]) ).

fof(f1366,plain,
    ( spl3_112
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f252,f241,f180,f1364]) ).

fof(f252,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(resolution,[],[f242,f181]) ).

fof(f1286,plain,
    ( spl3_111
    | ~ spl3_13
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f361,f347,f172,f1284]) ).

fof(f361,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_33 ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f358,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_33 ),
    inference(resolution,[],[f348,f173]) ).

fof(f1282,plain,
    ( spl3_110
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f355,f343,f172,f1280]) ).

fof(f355,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK2(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(duplicate_literal_removal,[],[f352]) ).

fof(f352,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK2(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(resolution,[],[f344,f173]) ).

fof(f1278,plain,
    ( spl3_109
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f292,f267,f162,f1276]) ).

fof(f292,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f164]) ).

fof(f1274,plain,
    ( spl3_108
    | ~ spl3_8
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f612,f592,f147,f1271]) ).

fof(f1269,plain,
    ( spl3_107
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f291,f267,f157,f1267]) ).

fof(f291,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f159]) ).

fof(f1265,plain,
    ( spl3_106
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f284,f263,f162,f1263]) ).

fof(f284,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f164]) ).

fof(f1261,plain,
    ( spl3_105
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f283,f263,f157,f1259]) ).

fof(f283,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f159]) ).

fof(f1209,plain,
    ( spl3_104
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f296,f267,f152,f1207]) ).

fof(f296,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f154]) ).

fof(f1205,plain,
    ( spl3_103
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f295,f267,f147,f1203]) ).

fof(f295,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f149]) ).

fof(f1201,plain,
    ( spl3_102
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f288,f263,f152,f1199]) ).

fof(f288,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,X0) = sdtpldt0(X0,xn)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f154]) ).

fof(f1197,plain,
    ( spl3_101
    | ~ spl3_11
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f608,f592,f162,f1194]) ).

fof(f1192,plain,
    ( spl3_100
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f287,f263,f147,f1190]) ).

fof(f287,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,X0) = sdtpldt0(X0,xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f149]) ).

fof(f1125,plain,
    ( spl3_99
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f235,f196,f162,f1122]) ).

fof(f235,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(resolution,[],[f197,f164]) ).

fof(f1120,plain,
    ( spl3_98
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f229,f192,f162,f1117]) ).

fof(f229,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f164]) ).

fof(f1113,plain,
    ( spl3_97
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f228,f192,f157,f1110]) ).

fof(f228,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f159]) ).

fof(f1108,plain,
    ( spl3_96
    | ~ spl3_11
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f217,f184,f162,f1105]) ).

fof(f217,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl3_11
    | ~ spl3_16 ),
    inference(resolution,[],[f185,f164]) ).

fof(f1103,plain,
    ( spl3_95
    | ~ spl3_11
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f206,f180,f162,f1100]) ).

fof(f206,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl3_11
    | ~ spl3_15 ),
    inference(resolution,[],[f181,f164]) ).

fof(f1098,plain,
    ( spl3_94
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f200,f176,f162,f1095]) ).

fof(f200,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f164]) ).

fof(f1093,plain,
    ( spl3_93
    | ~ spl3_10
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f199,f176,f157,f1090]) ).

fof(f199,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl3_10
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f159]) ).

fof(f1044,plain,
    ( ~ spl3_10
    | ~ spl3_1
    | spl3_92
    | ~ spl3_31
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f590,f509,f337,f1041,f112,f157]) ).

fof(f590,plain,
    ( sdtlseqdt0(sz00,sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_52 ),
    inference(duplicate_literal_removal,[],[f585]) ).

fof(f585,plain,
    ( sdtlseqdt0(sz00,sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_52 ),
    inference(superposition,[],[f338,f511]) ).

fof(f997,plain,
    ( spl3_91
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f237,f196,f152,f994]) ).

fof(f237,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(resolution,[],[f197,f154]) ).

fof(f992,plain,
    ( spl3_90
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f236,f196,f147,f989]) ).

fof(f236,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(resolution,[],[f197,f149]) ).

fof(f987,plain,
    ( spl3_89
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f231,f192,f152,f984]) ).

fof(f231,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f154]) ).

fof(f980,plain,
    ( spl3_88
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f230,f192,f147,f977]) ).

fof(f230,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f149]) ).

fof(f975,plain,
    ( spl3_87
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f225,f188,f152,f972]) ).

fof(f225,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(resolution,[],[f189,f154]) ).

fof(f970,plain,
    ( spl3_86
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f224,f188,f147,f967]) ).

fof(f224,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(resolution,[],[f189,f149]) ).

fof(f965,plain,
    ( spl3_85
    | ~ spl3_9
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f219,f184,f152,f962]) ).

fof(f219,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl3_9
    | ~ spl3_16 ),
    inference(resolution,[],[f185,f154]) ).

fof(f960,plain,
    ( spl3_84
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f218,f184,f147,f957]) ).

fof(f218,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(resolution,[],[f185,f149]) ).

fof(f955,plain,
    ( spl3_83
    | ~ spl3_9
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f208,f180,f152,f952]) ).

fof(f208,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl3_9
    | ~ spl3_15 ),
    inference(resolution,[],[f181,f154]) ).

fof(f950,plain,
    ( spl3_82
    | ~ spl3_8
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f207,f180,f147,f947]) ).

fof(f207,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl3_8
    | ~ spl3_15 ),
    inference(resolution,[],[f181,f149]) ).

fof(f945,plain,
    ( spl3_81
    | ~ spl3_9
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f202,f176,f152,f942]) ).

fof(f202,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl3_9
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f154]) ).

fof(f940,plain,
    ( spl3_80
    | ~ spl3_8
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f201,f176,f147,f937]) ).

fof(f201,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl3_8
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f149]) ).

fof(f922,plain,
    ( ~ spl3_10
    | ~ spl3_2
    | spl3_79
    | ~ spl3_31
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f581,f504,f337,f919,f117,f157]) ).

fof(f581,plain,
    ( sdtlseqdt0(sz00,sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_51 ),
    inference(duplicate_literal_removal,[],[f576]) ).

fof(f576,plain,
    ( sdtlseqdt0(sz00,sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(sz00)
    | ~ spl3_31
    | ~ spl3_51 ),
    inference(superposition,[],[f338,f506]) ).

fof(f876,plain,
    ( spl3_78
    | ~ spl3_1
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f463,f432,f112,f874]) ).

fof(f463,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK1),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK1,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_1
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f114]) ).

fof(f872,plain,
    ( spl3_77
    | ~ spl3_2
    | ~ spl3_43 ),
    inference(avatar_split_clause,[],[f462,f432,f117,f870]) ).

fof(f462,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sK0),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK0,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl3_2
    | ~ spl3_43 ),
    inference(resolution,[],[f433,f119]) ).

fof(f868,plain,
    ( spl3_76
    | ~ spl3_1
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f453,f428,f112,f866]) ).

fof(f453,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f114]) ).

fof(f864,plain,
    ( spl3_75
    | ~ spl3_2
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f452,f428,f117,f862]) ).

fof(f452,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sK0)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_42 ),
    inference(resolution,[],[f429,f119]) ).

fof(f794,plain,
    ( spl3_74
    | ~ spl3_1
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f417,f396,f112,f792]) ).

fof(f417,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(X0,sdtpldt0(X1,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f114]) ).

fof(f790,plain,
    ( spl3_73
    | ~ spl3_2
    | ~ spl3_39 ),
    inference(avatar_split_clause,[],[f416,f396,f117,f788]) ).

fof(f416,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(X0,sdtpldt0(X1,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_39 ),
    inference(resolution,[],[f397,f119]) ).

fof(f786,plain,
    ( spl3_72
    | ~ spl3_1
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f407,f392,f112,f784]) ).

fof(f407,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(X0,sdtasdt0(X1,sK1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f114]) ).

fof(f782,plain,
    ( spl3_71
    | ~ spl3_2
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f406,f392,f117,f780]) ).

fof(f406,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(X0,sdtasdt0(X1,sK0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_38 ),
    inference(resolution,[],[f393,f119]) ).

fof(f776,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_70
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f471,f466,f142,f127,f117,f773,f147,f152]) ).

fof(f471,plain,
    ( ~ sdtlseqdt0(xn,xm)
    | ~ aNaturalNumber0(sK0)
    | sK0 = sdtmndt0(xm,xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_7
    | ~ spl3_44 ),
    inference(superposition,[],[f467,f144]) ).

fof(f769,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_69
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f470,f466,f137,f122,f112,f766,f152,f147]) ).

fof(f470,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aNaturalNumber0(sK1)
    | sK1 = sdtmndt0(xn,xm)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_6
    | ~ spl3_44 ),
    inference(superposition,[],[f467,f139]) ).

fof(f754,plain,
    ( ~ spl3_2
    | ~ spl3_9
    | spl3_68
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f386,f371,f142,f752,f152,f117]) ).

fof(f386,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(X0,sK0)
        | xn = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(sK0) )
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(superposition,[],[f372,f144]) ).

fof(f748,plain,
    ( ~ spl3_1
    | ~ spl3_8
    | spl3_67
    | ~ spl3_6
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f385,f371,f137,f746,f147,f112]) ).

fof(f385,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(X0,sK1)
        | xm = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sK1) )
    | ~ spl3_6
    | ~ spl3_36 ),
    inference(superposition,[],[f372,f139]) ).

fof(f739,plain,
    ( ~ spl3_9
    | ~ spl3_2
    | spl3_66
    | ~ spl3_7
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f380,f367,f142,f737,f117,f152]) ).

fof(f380,plain,
    ( ! [X0] :
        ( xm != sdtpldt0(xn,X0)
        | sK0 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(xn) )
    | ~ spl3_7
    | ~ spl3_35 ),
    inference(superposition,[],[f368,f144]) ).

fof(f730,plain,
    ( ~ spl3_8
    | ~ spl3_1
    | spl3_65
    | ~ spl3_6
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f379,f367,f137,f728,f112,f147]) ).

fof(f379,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | sK1 = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK1)
        | ~ aNaturalNumber0(xm) )
    | ~ spl3_6
    | ~ spl3_35 ),
    inference(superposition,[],[f368,f139]) ).

fof(f718,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_64
    | ~ spl3_4
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f357,f347,f127,f715,f147,f152]) ).

fof(f357,plain,
    ( xm = sdtpldt0(xn,sdtmndt0(xm,xn))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_4
    | ~ spl3_33 ),
    inference(resolution,[],[f348,f129]) ).

fof(f705,plain,
    ( spl3_63
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f630,f596,f147,f137,f702]) ).

fof(f630,plain,
    ( xn = sdtpldt0(sK1,xm)
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_54 ),
    inference(forward_demodulation,[],[f624,f139]) ).

fof(f624,plain,
    ( sdtpldt0(xm,sK1) = sdtpldt0(sK1,xm)
    | ~ spl3_8
    | ~ spl3_54 ),
    inference(resolution,[],[f597,f149]) ).

fof(f700,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_62
    | ~ spl3_3
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f356,f347,f122,f697,f152,f147]) ).

fof(f356,plain,
    ( xn = sdtpldt0(xm,sdtmndt0(xn,xm))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_3
    | ~ spl3_33 ),
    inference(resolution,[],[f348,f124]) ).

fof(f687,plain,
    ( ~ spl3_9
    | ~ spl3_8
    | spl3_61
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f351,f343,f127,f684,f147,f152]) ).

fof(f351,plain,
    ( xm = sdtpldt0(xn,sK2(xn,xm))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(resolution,[],[f344,f129]) ).

fof(f674,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_60
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f350,f343,f122,f671,f152,f147]) ).

fof(f350,plain,
    ( xn = sdtpldt0(xm,sK2(xm,xn))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(resolution,[],[f344,f124]) ).

fof(f669,plain,
    ( ~ spl3_9
    | ~ spl3_2
    | spl3_5
    | ~ spl3_59
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f326,f316,f142,f666,f132,f117,f152]) ).

fof(f316,plain,
    ( spl3_28
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f326,plain,
    ( sz00 != xm
    | xm = xn
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(inner_rewriting,[],[f324]) ).

fof(f324,plain,
    ( sz00 != xm
    | sz00 = xn
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(xn)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(superposition,[],[f317,f144]) ).

fof(f317,plain,
    ( ! [X0,X1] :
        ( sz00 != sdtpldt0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f664,plain,
    ( ~ spl3_8
    | ~ spl3_1
    | spl3_5
    | ~ spl3_58
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f325,f316,f137,f661,f132,f112,f147]) ).

fof(f325,plain,
    ( sz00 != xn
    | xm = xn
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(inner_rewriting,[],[f323]) ).

fof(f323,plain,
    ( sz00 != xn
    | sz00 = xm
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(xm)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(superposition,[],[f317,f139]) ).

fof(f647,plain,
    ( spl3_57
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f618,f592,f152,f142,f644]) ).

fof(f618,plain,
    ( xm = sdtpldt0(sK0,xn)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f613,f144]) ).

fof(f613,plain,
    ( sdtpldt0(xn,sK0) = sdtpldt0(sK0,xn)
    | ~ spl3_9
    | ~ spl3_53 ),
    inference(resolution,[],[f593,f154]) ).

fof(f606,plain,
    ( spl3_56
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f298,f267,f112,f604]) ).

fof(f298,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f114]) ).

fof(f602,plain,
    ( spl3_55
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f297,f267,f117,f600]) ).

fof(f297,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(resolution,[],[f268,f119]) ).

fof(f598,plain,
    ( spl3_54
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f290,f263,f112,f596]) ).

fof(f290,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f114]) ).

fof(f594,plain,
    ( spl3_53
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f289,f263,f117,f592]) ).

fof(f289,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK0) = sdtpldt0(sK0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(resolution,[],[f264,f119]) ).

fof(f512,plain,
    ( spl3_52
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f239,f196,f112,f509]) ).

fof(f239,plain,
    ( sK1 = sdtpldt0(sz00,sK1)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(resolution,[],[f197,f114]) ).

fof(f507,plain,
    ( spl3_51
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f238,f196,f117,f504]) ).

fof(f238,plain,
    ( sK0 = sdtpldt0(sz00,sK0)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(resolution,[],[f197,f119]) ).

fof(f502,plain,
    ( spl3_50
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f233,f192,f112,f499]) ).

fof(f233,plain,
    ( sK1 = sdtpldt0(sK1,sz00)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f114]) ).

fof(f497,plain,
    ( spl3_49
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f232,f192,f117,f494]) ).

fof(f232,plain,
    ( sK0 = sdtpldt0(sK0,sz00)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(resolution,[],[f193,f119]) ).

fof(f492,plain,
    ( spl3_48
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f227,f188,f112,f489]) ).

fof(f227,plain,
    ( sK1 = sdtasdt0(sz10,sK1)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(resolution,[],[f189,f114]) ).

fof(f487,plain,
    ( spl3_47
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f226,f188,f117,f484]) ).

fof(f226,plain,
    ( sK0 = sdtasdt0(sz10,sK0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(resolution,[],[f189,f119]) ).

fof(f482,plain,
    ( spl3_46
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f221,f184,f112,f479]) ).

fof(f221,plain,
    ( sK1 = sdtasdt0(sK1,sz10)
    | ~ spl3_1
    | ~ spl3_16 ),
    inference(resolution,[],[f185,f114]) ).

fof(f477,plain,
    ( spl3_45
    | ~ spl3_2
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f220,f184,f117,f474]) ).

fof(f220,plain,
    ( sK0 = sdtasdt0(sK0,sz10)
    | ~ spl3_2
    | ~ spl3_16 ),
    inference(resolution,[],[f185,f119]) ).

fof(f468,plain,
    spl3_44,
    inference(avatar_split_clause,[],[f107,f466]) ).

fof(f107,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,[],[f94]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,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,[],[f61]) ).

fof(f61,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,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( sdtmndt0(X1,X0) = X2
          <=> ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f434,plain,
    spl3_43,
    inference(avatar_split_clause,[],[f104,f432]) ).

fof(f104,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,[],[f55]) ).

fof(f55,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,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

fof(f430,plain,
    spl3_42,
    inference(avatar_split_clause,[],[f103,f428]) ).

fof(f103,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,[],[f55]) ).

fof(f426,plain,
    spl3_41,
    inference(avatar_split_clause,[],[f87,f424]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,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,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).

fof(f422,plain,
    spl3_40,
    inference(avatar_split_clause,[],[f86,f420]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f398,plain,
    spl3_39,
    inference(avatar_split_clause,[],[f102,f396]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f394,plain,
    spl3_38,
    inference(avatar_split_clause,[],[f101,f392]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

fof(f378,plain,
    ( spl3_37
    | ~ spl3_1
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f210,f180,f112,f375]) ).

fof(f210,plain,
    ( sz00 = sdtasdt0(sz00,sK1)
    | ~ spl3_1
    | ~ spl3_15 ),
    inference(resolution,[],[f181,f114]) ).

fof(f373,plain,
    spl3_36,
    inference(avatar_split_clause,[],[f106,f371]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,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,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

fof(f369,plain,
    spl3_35,
    inference(avatar_split_clause,[],[f105,f367]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f365,plain,
    spl3_34,
    inference(avatar_split_clause,[],[f97,f363]) ).

fof(f363,plain,
    ( spl3_34
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 = X0
        | sz00 != sdtasdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtasdt0(X0,X1)
       => ( sz00 = X1
          | sz00 = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).

fof(f349,plain,
    spl3_33,
    inference(avatar_split_clause,[],[f108,f347]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f93]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X2) = X1
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f345,plain,
    spl3_32,
    inference(avatar_split_clause,[],[f99,f343]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sK2(X0,X1)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK2(X0,X1)) = X1
            & aNaturalNumber0(sK2(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f64,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK2(X0,X1)) = X1
        & aNaturalNumber0(sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,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,[],[f63]) ).

fof(f63,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,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).

fof(f339,plain,
    spl3_31,
    inference(avatar_split_clause,[],[f110,f337]) ).

fof(f110,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f335,plain,
    ( spl3_30
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f209,f180,f117,f332]) ).

fof(f209,plain,
    ( sz00 = sdtasdt0(sz00,sK0)
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(resolution,[],[f181,f119]) ).

fof(f322,plain,
    spl3_29,
    inference(avatar_split_clause,[],[f96,f320]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtpldt0(X0,X1)
       => ( sz00 = X1
          & sz00 = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).

fof(f318,plain,
    spl3_28,
    inference(avatar_split_clause,[],[f95,f316]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( sz00 = X0
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f282,plain,
    spl3_27,
    inference(avatar_split_clause,[],[f109,f280]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f92]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f278,plain,
    spl3_26,
    inference(avatar_split_clause,[],[f98,f276]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK2(X0,X1))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f274,plain,
    ( spl3_25
    | ~ spl3_1
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f204,f176,f112,f271]) ).

fof(f204,plain,
    ( sz00 = sdtasdt0(sK1,sz00)
    | ~ spl3_1
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f114]) ).

fof(f269,plain,
    spl3_24,
    inference(avatar_split_clause,[],[f91,f267]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f265,plain,
    spl3_23,
    inference(avatar_split_clause,[],[f90,f263]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

fof(f247,plain,
    spl3_22,
    inference(avatar_split_clause,[],[f89,f245]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f243,plain,
    spl3_21,
    inference(avatar_split_clause,[],[f88,f241]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

fof(f215,plain,
    ( spl3_20
    | ~ spl3_2
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f203,f176,f117,f212]) ).

fof(f203,plain,
    ( sz00 = sdtasdt0(sK0,sz00)
    | ~ spl3_2
    | ~ spl3_14 ),
    inference(resolution,[],[f177,f119]) ).

fof(f198,plain,
    spl3_19,
    inference(avatar_split_clause,[],[f85,f196]) ).

fof(f85,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

fof(f194,plain,
    spl3_18,
    inference(avatar_split_clause,[],[f84,f192]) ).

fof(f84,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f190,plain,
    spl3_17,
    inference(avatar_split_clause,[],[f83,f188]) ).

fof(f83,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f186,plain,
    spl3_16,
    inference(avatar_split_clause,[],[f82,f184]) ).

fof(f82,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f182,plain,
    spl3_15,
    inference(avatar_split_clause,[],[f81,f180]) ).

fof(f81,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

fof(f178,plain,
    spl3_14,
    inference(avatar_split_clause,[],[f80,f176]) ).

fof(f80,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f174,plain,
    spl3_13,
    inference(avatar_split_clause,[],[f79,f172]) ).

fof(f79,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).

fof(f170,plain,
    ~ spl3_12,
    inference(avatar_split_clause,[],[f78,f167]) ).

fof(f78,plain,
    sz00 != sz10,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f165,plain,
    spl3_11,
    inference(avatar_split_clause,[],[f77,f162]) ).

fof(f77,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f160,plain,
    spl3_10,
    inference(avatar_split_clause,[],[f76,f157]) ).

fof(f76,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(f155,plain,
    spl3_9,
    inference(avatar_split_clause,[],[f75,f152]) ).

fof(f75,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__745) ).

fof(f150,plain,
    spl3_8,
    inference(avatar_split_clause,[],[f74,f147]) ).

fof(f74,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f21]) ).

fof(f145,plain,
    spl3_7,
    inference(avatar_split_clause,[],[f71,f142]) ).

fof(f71,plain,
    xm = sdtpldt0(xn,sK0),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & xm = sdtpldt0(xn,sK0)
    & aNaturalNumber0(sK0)
    & sdtlseqdt0(xm,xn)
    & xn = sdtpldt0(xm,sK1)
    & aNaturalNumber0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f59,f58]) ).

fof(f58,plain,
    ( ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
   => ( xm = sdtpldt0(xn,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ( ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) )
   => ( xn = sdtpldt0(xm,sK1)
      & aNaturalNumber0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & sdtlseqdt0(xm,xn)
    & ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & sdtlseqdt0(xm,xn)
    & ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ( ( sdtlseqdt0(xn,xm)
        & ? [X0] :
            ( xm = sdtpldt0(xn,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn)
        & ? [X1] :
            ( xn = sdtpldt0(xm,X1)
            & aNaturalNumber0(X1) ) )
     => xm = xn ),
    inference(rectify,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ( ( sdtlseqdt0(xn,xm)
        & ? [X0] :
            ( xm = sdtpldt0(xn,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn)
        & ? [X0] :
            ( xn = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) ) )
     => xm = xn ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ( ( sdtlseqdt0(xn,xm)
      & ? [X0] :
          ( xm = sdtpldt0(xn,X0)
          & aNaturalNumber0(X0) )
      & sdtlseqdt0(xm,xn)
      & ? [X0] :
          ( xn = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) )
   => xm = xn ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f140,plain,
    spl3_6,
    inference(avatar_split_clause,[],[f68,f137]) ).

fof(f68,plain,
    xn = sdtpldt0(xm,sK1),
    inference(cnf_transformation,[],[f60]) ).

fof(f135,plain,
    ~ spl3_5,
    inference(avatar_split_clause,[],[f73,f132]) ).

fof(f73,plain,
    xm != xn,
    inference(cnf_transformation,[],[f60]) ).

fof(f130,plain,
    spl3_4,
    inference(avatar_split_clause,[],[f72,f127]) ).

fof(f72,plain,
    sdtlseqdt0(xn,xm),
    inference(cnf_transformation,[],[f60]) ).

fof(f125,plain,
    spl3_3,
    inference(avatar_split_clause,[],[f69,f122]) ).

fof(f69,plain,
    sdtlseqdt0(xm,xn),
    inference(cnf_transformation,[],[f60]) ).

fof(f120,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f70,f117]) ).

fof(f70,plain,
    aNaturalNumber0(sK0),
    inference(cnf_transformation,[],[f60]) ).

fof(f115,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f67,f112]) ).

fof(f67,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : NUM459+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n006.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Apr 29 23:35:20 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.32  % (25239)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (25242)WARNING: value z3 for option sas not known
% 0.16/0.33  % (25244)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33  % (25245)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33  % (25243)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33  % (25246)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33  % (25241)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33  % (25242)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33  % (25240)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [4]
% 0.16/0.35  TRYING [4]
% 0.16/0.39  TRYING [5]
% 0.16/0.39  TRYING [5]
% 0.16/0.51  TRYING [6]
% 0.16/0.52  TRYING [6]
% 3.71/0.85  TRYING [7]
% 4.03/0.89  TRYING [7]
% 4.03/0.89  TRYING [1]
% 4.03/0.89  TRYING [2]
% 4.03/0.89  TRYING [3]
% 4.03/0.90  TRYING [4]
% 4.44/0.95  TRYING [5]
% 5.36/1.11  TRYING [6]
% 6.51/1.25  % (25244)First to succeed.
% 6.51/1.32  % (25244)Refutation found. Thanks to Tanya!
% 6.51/1.32  % SZS status Theorem for theBenchmark
% 6.51/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.36  % (25244)------------------------------
% 7.10/1.36  % (25244)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.10/1.36  % (25244)Termination reason: Refutation
% 7.10/1.36  
% 7.10/1.36  % (25244)Memory used [KB]: 14927
% 7.10/1.36  % (25244)Time elapsed: 0.985 s
% 7.10/1.36  % (25244)Instructions burned: 1934 (million)
% 7.10/1.36  % (25244)------------------------------
% 7.10/1.36  % (25244)------------------------------
% 7.10/1.36  % (25239)Success in time 1.041 s
%------------------------------------------------------------------------------