TSTP Solution File: NUM503+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM503+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 14:28:43 EDT 2024
% Result : Theorem 34.28s 5.25s
% Output : Refutation 34.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1330
% Syntax : Number of formulae : 5168 ( 117 unt; 0 def)
% Number of atoms : 21273 (4063 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 29089 (12984 ~;14551 |; 198 &)
% (1293 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 1285 (1283 usr;1277 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 3182 (3162 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64286,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f318,f323,f328,f333,f338,f343,f348,f353,f358,f363,f367,f378,f383,f387,f391,f395,f400,f417,f422,f426,f430,f434,f439,f443,f447,f451,f491,f496,f500,f518,f532,f536,f540,f544,f548,f553,f557,f561,f565,f569,f636,f640,f644,f648,f652,f656,f660,f666,f670,f674,f680,f684,f688,f740,f746,f750,f754,f808,f812,f816,f821,f849,f853,f861,f865,f869,f874,f878,f882,f937,f941,f945,f951,f955,f959,f1005,f1019,f1023,f1039,f1043,f1060,f1073,f1083,f1088,f1093,f1098,f1103,f1108,f1113,f1118,f1123,f1128,f1133,f1138,f1143,f1148,f1153,f1158,f1163,f1168,f1173,f1178,f1183,f1188,f1193,f1198,f1203,f1230,f1248,f1449,f1902,f1908,f1914,f1920,f1926,f1932,f1937,f1958,f1964,f1969,f2101,f2105,f2147,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2229,f2255,f2259,f2390,f2463,f2569,f2574,f2578,f2583,f2587,f2591,f2697,f2702,f2712,f2717,f2741,f2764,f2788,f2811,f2815,f2820,f2846,f2851,f2877,f2882,f2908,f2914,f2918,f2944,f2949,f2955,f2960,f2966,f2970,f2975,f2979,f2989,f3001,f3013,f3018,f3023,f3049,f3054,f3080,f3084,f3088,f3093,f3119,f3125,f3129,f3155,f3159,f3163,f3168,f3172,f3176,f3181,f3186,f3315,f3322,f3327,f3331,f3337,f3345,f3351,f3359,f3365,f3388,f3395,f3399,f3422,f3427,f3447,f3452,f3472,f3477,f3482,f3514,f3519,f3551,f3556,f3588,f3593,f3626,f3630,f3634,f3638,f3643,f3708,f3712,f3716,f3721,f3725,f3729,f3733,f3737,f3741,f3899,f3989,f3995,f4003,f4009,f4017,f4023,f4027,f4035,f4040,f4048,f4054,f4077,f4083,f4088,f4111,f4116,f4139,f4144,f4167,f4172,f4215,f4219,f4224,f4228,f4233,f4237,f4382,f4391,f4394,f4396,f4402,f4408,f4418,f4436,f4456,f4465,f4542,f4682,f4717,f4741,f4747,f4758,f5177,f5351,f5353,f5365,f5379,f5382,f5387,f5414,f5416,f5500,f5505,f5520,f5546,f5618,f5716,f5721,f5746,f5794,f5800,f5804,f5831,f5836,f5845,f5880,f5909,f5938,f5961,f5967,f6000,f6010,f6059,f6064,f6068,f6111,f6133,f6162,f6190,f6194,f6198,f6202,f6206,f6210,f6214,f6218,f6330,f6334,f6338,f6342,f6456,f6460,f6464,f6468,f6472,f6476,f6480,f6484,f6488,f6514,f6518,f6834,f6838,f6842,f6846,f6850,f6854,f6858,f6886,f6890,f7058,f7085,f7112,f7117,f7139,f7144,f7187,f7191,f7195,f7200,f7255,f7260,f7315,f7342,f7346,f7351,f7406,f7411,f7466,f7470,f7738,f7760,f7786,f7810,f7814,f7818,f7822,f7826,f7830,f7834,f7938,f8088,f8092,f8096,f8100,f8104,f8131,f8191,f8196,f8220,f8225,f8249,f8255,f8256,f8337,f8364,f8373,f8379,f8654,f8655,f8688,f8694,f8704,f8733,f8739,f8743,f8986,f8995,f9029,f9038,f9088,f9092,f9221,f9226,f9236,f9241,f9267,f9289,f9465,f9496,f9504,f9602,f10085,f10798,f11648,f11656,f11735,f11739,f11977,f12421,f12427,f12801,f12866,f12872,f12877,f12896,f12935,f12940,f12944,f12949,f12954,f13308,f13314,f13319,f13450,f13454,f13458,f13462,f13467,f13495,f13499,f13535,f13956,f13961,f13988,f13993,f14021,f14026,f14053,f14058,f14086,f14090,f14171,f14175,f14181,f14219,f14225,f14263,f14268,f14303,f14308,f14313,f14554,f14561,f14588,f14593,f14597,f14601,f14605,f14609,f14613,f14617,f14621,f14626,f14634,f14636,f14829,f14835,f14889,f15002,f15046,f15078,f15174,f15202,f15576,f15581,f15589,f15595,f15599,f15641,f15646,f15707,f15712,f15856,f15861,f15869,f15874,f15930,f15935,f15991,f15996,f16005,f16010,f16073,f16078,f16104,f16109,f16135,f16178,f16182,f16186,f16274,f16278,f16284,f16361,f16366,f16391,f16396,f16419,f16424,f16449,f16454,f16477,f16481,f16485,f16489,f16532,f16582,f16661,f16665,f16669,f16673,f16677,f16681,f16686,f16718,f16723,f16874,f16878,f16884,f17298,f17302,f17307,f17332,f17334,f17458,f17481,f17486,f17511,f17516,f17602,f17683,f17687,f17691,f17695,f17699,f17703,f17708,f17866,f18171,f18176,f18202,f18207,f18233,f18238,f18322,f18328,f18336,f18341,f18346,f18374,f18379,f18405,f18409,f18413,f18419,f18541,f18663,f18667,f18671,f18675,f19471,f19477,f19482,f19539,f19544,f19611,f19615,f19619,f19623,f19627,f19633,f19638,f19767,f19772,f20270,f20276,f20280,f20364,f20369,f20533,f20538,f20543,f20692,f20698,f20702,f20707,f20776,f20781,f20850,f20855,f20924,f20930,f20934,f21013,f21092,f21111,f21136,f21143,f21149,f21155,f21161,f21167,f21173,f21178,f21182,f21186,f21192,f21198,f21202,f21207,f21211,f21216,f21220,f21224,f21228,f21232,f21242,f21251,f21256,f21261,f21267,f21361,f21366,f21370,f21374,f21565,f21575,f21581,f21587,f21592,f21597,f21602,f21608,f21613,f21618,f21624,f21625,f21765,f21820,f21825,f21830,f21834,f21838,f21840,f21844,f21848,f21852,f21857,f21862,f21866,f21870,f21884,f21888,f21892,f21894,f21899,f21903,f21907,f21911,f21916,f21954,f21964,f22192,f22546,f22551,f22556,f22566,f22571,f22576,f22809,f22845,f22850,f22855,f22860,f22865,f22870,f22875,f22881,f22886,f22981,f22992,f23030,f23122,f23128,f23133,f23138,f23143,f23151,f23156,f23162,f23166,f23167,f23172,f23651,f23656,f23745,f23871,f23872,f24212,f24251,f24345,f24350,f24352,f24363,f24408,f24418,f24574,f24651,f24657,f24742,f24748,f24754,f24759,f24765,f25278,f25299,f25311,f25466,f25520,f26211,f26356,f26651,f26661,f26666,f26719,f26775,f26825,f26886,f26891,f26901,f26939,f27124,f27283,f27480,f27750,f28019,f28658,f29225,f29233,f29273,f29515,f29521,f29710,f29717,f29771,f29777,f29783,f29785,f29840,f29849,f29964,f29970,f30827,f30838,f30844,f30848,f30857,f31112,f31482,f31496,f31500,f32192,f32193,f32201,f32254,f32299,f32325,f32339,f32434,f32435,f32818,f33028,f33033,f33038,f33043,f33048,f33053,f33058,f33170,f33221,f33226,f33273,f33279,f33285,f33290,f33295,f33301,f33306,f33311,f33317,f33323,f33328,f33333,f33338,f33593,f33673,f33683,f33689,f33692,f33868,f34284,f34331,f34336,f34477,f34509,f34559,f34590,f34629,f34676,f34681,f34978,f35524,f35525,f35536,f35541,f35546,f35812,f35816,f35848,f35853,f35859,f36282,f36713,f36812,f37141,f37184,f37202,f37205,f37284,f37291,f37355,f37363,f37368,f37373,f37378,f37383,f37388,f37395,f37400,f37405,f37410,f37453,f37458,f37463,f37468,f37473,f37478,f37483,f37488,f37493,f37498,f37503,f37508,f37513,f37518,f37523,f37528,f37533,f38127,f38691,f38927,f39353,f39359,f39411,f39451,f39456,f39559,f39570,f39576,f39582,f39588,f39593,f39599,f39605,f39610,f39615,f39619,f39620,f39624,f39629,f39633,f39637,f39642,f39646,f39651,f40506,f41166,f41196,f41201,f41205,f41209,f41213,f41217,f41221,f41225,f41230,f41235,f41240,f41245,f41250,f41255,f41260,f41265,f41270,f41275,f41279,f41283,f41287,f41292,f41296,f41300,f41304,f41308,f41313,f41318,f41323,f41328,f41333,f41338,f41339,f41345,f41350,f41355,f41359,f41363,f41367,f41371,f41375,f41379,f41383,f41384,f41686,f41693,f41698,f41704,f41710,f41715,f41720,f41725,f41731,f41736,f41741,f41746,f41751,f41756,f41761,f41832,f41837,f41843,f41849,f41854,f41859,f41864,f41869,f41874,f41883,f42092,f42198,f42203,f42208,f42372,f42378,f42385,f42392,f42399,f42406,f42413,f42420,f42427,f42434,f42440,f42446,f42453,f42460,f42470,f42477,f42486,f42491,f42497,f42503,f42558,f42564,f42570,f42576,f42582,f42588,f42644,f42650,f42656,f42662,f42667,f42672,f42677,f42682,f42687,f42691,f42696,f42701,f42706,f42718,f42785,f42790,f42795,f42800,f42806,f42811,f42816,f42821,f42826,f42832,f42838,f42844,f42849,f42853,f42857,f42861,f43147,f43154,f43159,f43206,f43253,f43570,f44330,f46899,f47125,f47130,f47135,f47140,f47236,f47241,f47397,f47612,f47916,f48002,f48072,f48318,f48324,f48410,f48416,f48502,f48628,f48698,f48704,f48709,f48716,f48775,f48847,f48848,f49767,f49818,f49823,f50859,f50864,f51467,f51593,f51644,f51719,f51724,f51830,f51872,f51883,f51901,f51960,f51961,f51975,f52263,f52310,f52364,f52421,f52476,f52477,f52580,f52585,f52597,f52674,f52744,f52747,f52824,f52871,f52918,f52924,f52930,f52931,f53016,f53017,f53026,f53040,f53359,f56047,f56225,f56227,f56233,f56295,f56355,f56418,f56482,f56483,f56488,f56493,f56498,f56503,f56508,f56567,f56571,f56575,f56579,f56806,f56956,f56991,f56996,f57001,f57006,f57008,f57202,f57207,f57212,f57219,f57225,f57230,f57236,f57241,f57301,f57361,f57366,f57368,f57724,f57729,f57730,f58039,f58044,f58069,f58108,f58169,f58232,f58291,f58301,f58363,f58369,f58435,f58441,f58507,f58513,f58518,f58584,f58590,f58661,f58667,f58738,f58744,f58745,f58911,f58916,f58921,f58927,f58932,f58937,f58942,f58947,f58952,f58956,f58960,f58969,f58978,f58985,f58990,f59000,f59004,f59009,f59014,f59019,f59024,f59029,f59034,f59038,f59042,f59047,f59106,f59166,f59228,f59290,f59356,f59427,f59492,f59497,f59571,f59576,f59581,f59587,f59590,f59600,f59606,f59845,f59935,f60155,f60238,f60239,f60447,f60601,f60661,f60667,f60672,f60719,f61147,f61153,f61275,f61280,f61285,f61289,f61294,f61402,f61645,f61774,f61775,f61874,f61920,f61965,f61969,f61973,f62010,f62015,f62021,f62027,f62033,f62038,f62045,f62051,f62056,f62062,f62069,f62076,f62080,f62085,f62096,f62107,f62114,f62120,f62125,f62130,f62136,f62140,f62145,f62150,f62155,f62160,f62165,f62170,f62175,f62180,f62186,f62192,f62197,f62257,f62263,f62321,f62327,f62387,f62393,f62398,f62456,f62462,f62525,f62531,f62591,f62597,f62655,f62660,f62666,f62726,f62732,f62790,f62796,f62800,f62816,f62821,f62825,f62830,f62835,f62840,f62845,f62850,f62856,f62861,f62866,f62870,f62874,f62878,f62883,f62888,f62892,f62896,f62901,f62906,f62937,f62950,f62954,f62958,f62962,f62966,f62972,f62977,f62981,f62985,f62989,f62995,f62999,f63004,f63008,f63012,f63017,f63022,f63026,f63030,f63034,f63040,f63042,f63053,f63061,f63069,f63080,f63092,f63098,f63103,f63109,f63113,f63119,f63125,f63130,f63136,f63142,f63147,f63154,f63160,f63220,f63225,f63231,f63289,f63295,f63355,f63361,f63419,f63425,f63476,f63484,f63982,f64164,f64173,f64178,f64181,f64265,f64285]) ).
fof(f64285,plain,
( ~ spl6_291
| spl6_30
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f5475,f410,f402,f5713]) ).
fof(f5713,plain,
( spl6_291
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f402,plain,
( spl6_30
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f410,plain,
( spl6_32
<=> sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f5475,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xk)
| spl6_30
| ~ spl6_32 ),
inference(superposition,[],[f403,f412]) ).
fof(f412,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f403,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
| spl6_30 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f64265,plain,
( spl6_475
| ~ spl6_291
| ~ spl6_425 ),
inference(avatar_split_clause,[],[f29520,f12893,f5713,f14832]) ).
fof(f14832,plain,
( spl6_475
<=> sdtlseqdt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f12893,plain,
( spl6_425
<=> sdtlseqdt0(sdtasdt0(xp,xk),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
fof(f29520,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_291
| ~ spl6_425 ),
inference(forward_demodulation,[],[f12894,f5714]) ).
fof(f5714,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl6_291 ),
inference(avatar_component_clause,[],[f5713]) ).
fof(f12894,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),xp)
| ~ spl6_425 ),
inference(avatar_component_clause,[],[f12893]) ).
fof(f64181,plain,
( ~ spl6_208
| ~ spl6_291
| spl6_423 ),
inference(avatar_split_clause,[],[f23708,f12869,f5713,f3308]) ).
fof(f3308,plain,
( spl6_208
<=> xp = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f12869,plain,
( spl6_423
<=> xp = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
fof(f23708,plain,
( xp != sdtasdt0(xn,xm)
| ~ spl6_291
| spl6_423 ),
inference(superposition,[],[f12871,f5714]) ).
fof(f12871,plain,
( xp != sdtasdt0(xp,xk)
| spl6_423 ),
inference(avatar_component_clause,[],[f12869]) ).
fof(f64178,plain,
( spl6_1276
| ~ spl6_6
| ~ spl6_33
| ~ spl6_106
| ~ spl6_146
| ~ spl6_147
| ~ spl6_291
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f63553,f52573,f5713,f2174,f2170,f1110,f414,f280,f64175]) ).
fof(f64175,plain,
( spl6_1276
<=> sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1276])]) ).
fof(f280,plain,
( spl6_6
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f414,plain,
( spl6_33
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f1110,plain,
( spl6_106
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f2170,plain,
( spl6_146
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f2174,plain,
( spl6_147
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f52573,plain,
( spl6_1028
<=> sdtasdt0(xm,xp) = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1028])]) ).
fof(f63553,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xn,xm))
| ~ spl6_6
| ~ spl6_33
| ~ spl6_106
| ~ spl6_146
| ~ spl6_147
| ~ spl6_291
| ~ spl6_1028 ),
inference(forward_demodulation,[],[f63552,f52575]) ).
fof(f52575,plain,
( sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ spl6_1028 ),
inference(avatar_component_clause,[],[f52573]) ).
fof(f63552,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
| ~ spl6_6
| ~ spl6_33
| ~ spl6_106
| ~ spl6_146
| ~ spl6_147
| ~ spl6_291 ),
inference(forward_demodulation,[],[f51650,f2500]) ).
fof(f2500,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ spl6_6
| ~ spl6_146 ),
inference(resolution,[],[f2171,f282]) ).
fof(f282,plain,
( aNaturalNumber0(xp)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f2171,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ spl6_146 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f51650,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl6_33
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291 ),
inference(forward_demodulation,[],[f4710,f23349]) ).
fof(f23349,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xk,xp)
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291 ),
inference(forward_demodulation,[],[f4485,f5714]) ).
fof(f4485,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
| ~ spl6_106
| ~ spl6_147 ),
inference(resolution,[],[f1111,f2175]) ).
fof(f2175,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ spl6_147 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f1111,plain,
( aNaturalNumber0(xk)
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f4710,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xk,xp))
| ~ spl6_33
| ~ spl6_106
| ~ spl6_147 ),
inference(forward_demodulation,[],[f415,f4485]) ).
fof(f415,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f64173,plain,
( ~ spl6_1275
| ~ spl6_6
| ~ spl6_7
| ~ spl6_8
| ~ spl6_98
| ~ spl6_123
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| spl6_1017
| ~ spl6_1028
| ~ spl6_1127
| ~ spl6_1128 ),
inference(avatar_split_clause,[],[f64163,f59495,f59490,f52573,f51721,f41215,f37450,f24736,f2170,f1195,f1066,f290,f285,f280,f64170]) ).
fof(f64170,plain,
( spl6_1275
<=> xp = sdtasdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1275])]) ).
fof(f285,plain,
( spl6_7
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f290,plain,
( spl6_8
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f1066,plain,
( spl6_98
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f1195,plain,
( spl6_123
<=> xp = sdtasdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f24736,plain,
( spl6_709
<=> aNaturalNumber0(sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_709])]) ).
fof(f37450,plain,
( spl6_813
<=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_813])]) ).
fof(f41215,plain,
( spl6_858
<=> ! [X0] :
( xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_858])]) ).
fof(f51721,plain,
( spl6_1017
<=> sdtasdt0(xp,xm) = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1017])]) ).
fof(f59490,plain,
( spl6_1127
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),xm) = sdtasdt0(X0,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1127])]) ).
fof(f59495,plain,
( spl6_1128
<=> ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1128])]) ).
fof(f64163,plain,
( xp != sdtasdt0(xp,xm)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_8
| ~ spl6_98
| ~ spl6_123
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| spl6_1017
| ~ spl6_1028
| ~ spl6_1127
| ~ spl6_1128 ),
inference(forward_demodulation,[],[f51722,f64049]) ).
fof(f64049,plain,
( xp = sdtsldt0(xp,xp)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_8
| ~ spl6_98
| ~ spl6_123
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127
| ~ spl6_1128 ),
inference(forward_demodulation,[],[f60961,f59527]) ).
fof(f59527,plain,
( xp = sdtasdt0(xp,xm)
| ~ spl6_8
| ~ spl6_123
| ~ spl6_1128 ),
inference(forward_demodulation,[],[f59499,f1197]) ).
fof(f1197,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_123 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f59499,plain,
( sdtasdt0(sz10,xp) = sdtasdt0(sdtasdt0(sz10,xp),xm)
| ~ spl6_8
| ~ spl6_1128 ),
inference(resolution,[],[f59496,f292]) ).
fof(f292,plain,
( aNaturalNumber0(sz10)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f59496,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),xm) )
| ~ spl6_1128 ),
inference(avatar_component_clause,[],[f59495]) ).
fof(f60961,plain,
( sdtasdt0(xp,xm) = sdtsldt0(xp,xp)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_98
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60960,f60957]) ).
fof(f60957,plain,
( sdtsldt0(xp,xp) = sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60956,f52575]) ).
fof(f60956,plain,
( sdtasdt0(xm,xp) = sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_146
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60955,f2500]) ).
fof(f60955,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60954,f52575]) ).
fof(f60954,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_709
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60919,f49234]) ).
fof(f49234,plain,
( xp = sdtasdt0(sdtasdt0(xm,xp),xp)
| ~ spl6_7
| ~ spl6_813
| ~ spl6_858 ),
inference(forward_demodulation,[],[f44129,f37452]) ).
fof(f37452,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sz00)
| ~ spl6_813 ),
inference(avatar_component_clause,[],[f37450]) ).
fof(f44129,plain,
( xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),sz00),xp)
| ~ spl6_7
| ~ spl6_858 ),
inference(resolution,[],[f41216,f287]) ).
fof(f287,plain,
( aNaturalNumber0(sz00)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f41216,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),xp) )
| ~ spl6_858 ),
inference(avatar_component_clause,[],[f41215]) ).
fof(f60919,plain,
( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp)) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),xp),xm)
| ~ spl6_709
| ~ spl6_1127 ),
inference(resolution,[],[f59491,f24737]) ).
fof(f24737,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| ~ spl6_709 ),
inference(avatar_component_clause,[],[f24736]) ).
fof(f59491,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xp),xm) = sdtasdt0(X0,sdtsldt0(xp,xp)) )
| ~ spl6_1127 ),
inference(avatar_component_clause,[],[f59490]) ).
fof(f60960,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_98
| ~ spl6_146
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1028
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60959,f52575]) ).
fof(f60959,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_98
| ~ spl6_146
| ~ spl6_813
| ~ spl6_858
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60958,f49234]) ).
fof(f60958,plain,
( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp)) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),xp),xm)
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f60920,f2500]) ).
fof(f60920,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),xp),xm) = sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(xp,xp))
| ~ spl6_98
| ~ spl6_1127 ),
inference(resolution,[],[f59491,f1067]) ).
fof(f1067,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f51722,plain,
( sdtasdt0(xp,xm) != sdtsldt0(xp,xp)
| spl6_1017 ),
inference(avatar_component_clause,[],[f51721]) ).
fof(f64164,plain,
( spl6_208
| ~ spl6_8
| ~ spl6_32
| ~ spl6_123
| ~ spl6_291
| ~ spl6_1128 ),
inference(avatar_split_clause,[],[f64053,f59495,f5713,f1195,f410,f290,f3308]) ).
fof(f64053,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl6_8
| ~ spl6_32
| ~ spl6_123
| ~ spl6_291
| ~ spl6_1128 ),
inference(forward_demodulation,[],[f51713,f59527]) ).
fof(f51713,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ spl6_32
| ~ spl6_291 ),
inference(forward_demodulation,[],[f412,f5714]) ).
fof(f63982,plain,
( spl6_1037
| ~ spl6_32
| ~ spl6_291
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f60279,f51721,f5713,f410,f52927]) ).
fof(f52927,plain,
( spl6_1037
<=> sdtasdt0(xn,xm) = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1037])]) ).
fof(f60279,plain,
( sdtasdt0(xn,xm) = sdtsldt0(xp,xp)
| ~ spl6_32
| ~ spl6_291
| ~ spl6_1017 ),
inference(forward_demodulation,[],[f51713,f51723]) ).
fof(f51723,plain,
( sdtasdt0(xp,xm) = sdtsldt0(xp,xp)
| ~ spl6_1017 ),
inference(avatar_component_clause,[],[f51721]) ).
fof(f63484,plain,
( spl6_1237
| ~ spl6_291
| ~ spl6_425
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f63434,f52927,f12893,f5713,f62992]) ).
fof(f62992,plain,
( spl6_1237
<=> sdtlseqdt0(sdtsldt0(xp,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1237])]) ).
fof(f63434,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),xp)
| ~ spl6_291
| ~ spl6_425
| ~ spl6_1037 ),
inference(forward_demodulation,[],[f29520,f52929]) ).
fof(f52929,plain,
( sdtasdt0(xn,xm) = sdtsldt0(xp,xp)
| ~ spl6_1037 ),
inference(avatar_component_clause,[],[f52927]) ).
fof(f63476,plain,
( ~ spl6_1237
| spl6_475
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f63475,f52927,f14832,f62992]) ).
fof(f63475,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),xp)
| spl6_475
| ~ spl6_1037 ),
inference(forward_demodulation,[],[f14833,f52929]) ).
fof(f14833,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),xp)
| spl6_475 ),
inference(avatar_component_clause,[],[f14832]) ).
fof(f63425,plain,
( spl6_1274
| ~ spl6_812
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53112,f52927,f37407,f63422]) ).
fof(f63422,plain,
( spl6_1274
<=> sdtlseqdt0(sdtsldt0(xp,xp),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1274])]) ).
fof(f37407,plain,
( spl6_812
<=> sdtlseqdt0(sdtasdt0(xn,xm),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_812])]) ).
fof(f53112,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),xk)
| ~ spl6_812
| ~ spl6_1037 ),
inference(superposition,[],[f37409,f52929]) ).
fof(f37409,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xk)
| ~ spl6_812 ),
inference(avatar_component_clause,[],[f37407]) ).
fof(f63419,plain,
( spl6_1273
| ~ spl6_156
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32480,f32332,f2585,f63416]) ).
fof(f63416,plain,
( spl6_1273
<=> sdtasdt0(xr,xp) = sdtpldt0(sdtasdt0(xr,xp),sK5(sdtasdt0(xr,xp),sdtasdt0(xr,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1273])]) ).
fof(f2585,plain,
( spl6_156
<=> ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f32332,plain,
( spl6_748
<=> aNaturalNumber0(sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_748])]) ).
fof(f32480,plain,
( sdtasdt0(xr,xp) = sdtpldt0(sdtasdt0(xr,xp),sK5(sdtasdt0(xr,xp),sdtasdt0(xr,xp)))
| ~ spl6_156
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2586]) ).
fof(f2586,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK5(X0,X0)) = X0 )
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f2585]) ).
fof(f32333,plain,
( aNaturalNumber0(sdtasdt0(xr,xp))
| ~ spl6_748 ),
inference(avatar_component_clause,[],[f32332]) ).
fof(f63361,plain,
( spl6_1272
| ~ spl6_1037
| ~ spl6_1271 ),
inference(avatar_split_clause,[],[f63356,f63352,f52927,f63358]) ).
fof(f63358,plain,
( spl6_1272
<=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtsldt0(xp,xp),sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1272])]) ).
fof(f63352,plain,
( spl6_1271
<=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1271])]) ).
fof(f63356,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(sdtsldt0(xp,xp),sz00))
| ~ spl6_1037
| ~ spl6_1271 ),
inference(forward_demodulation,[],[f63354,f52929]) ).
fof(f63354,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sz00))
| ~ spl6_1271 ),
inference(avatar_component_clause,[],[f63352]) ).
fof(f63355,plain,
( spl6_1271
| ~ spl6_7
| ~ spl6_134
| ~ spl6_232
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f32075,f23868,f3586,f1952,f285,f63352]) ).
fof(f1952,plain,
( spl6_134
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f3586,plain,
( spl6_232
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f23868,plain,
( spl6_702
<=> sdtlseqdt0(sz00,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_702])]) ).
fof(f32075,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sz00))
| ~ spl6_232
| ~ spl6_702 ),
inference(resolution,[],[f23869,f3587]) ).
fof(f3587,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_232 ),
inference(avatar_component_clause,[],[f3586]) ).
fof(f23869,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ spl6_702 ),
inference(avatar_component_clause,[],[f23868]) ).
fof(f63295,plain,
( spl6_1270
| ~ spl6_1037
| ~ spl6_1269 ),
inference(avatar_split_clause,[],[f63290,f63286,f52927,f63292]) ).
fof(f63292,plain,
( spl6_1270
<=> sz00 = sdtasdt0(sdtmndt0(sdtsldt0(xp,xp),sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1270])]) ).
fof(f63286,plain,
( spl6_1269
<=> sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1269])]) ).
fof(f63290,plain,
( sz00 = sdtasdt0(sdtmndt0(sdtsldt0(xp,xp),sz00),sz00)
| ~ spl6_1037
| ~ spl6_1269 ),
inference(forward_demodulation,[],[f63288,f52929]) ).
fof(f63288,plain,
( sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sz00),sz00)
| ~ spl6_1269 ),
inference(avatar_component_clause,[],[f63286]) ).
fof(f63289,plain,
( spl6_1269
| ~ spl6_7
| ~ spl6_134
| ~ spl6_230
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f32074,f23868,f3549,f1952,f285,f63286]) ).
fof(f3549,plain,
( spl6_230
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f32074,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),sz00),sz00)
| ~ spl6_230
| ~ spl6_702 ),
inference(resolution,[],[f23869,f3550]) ).
fof(f3550,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_230 ),
inference(avatar_component_clause,[],[f3549]) ).
fof(f63231,plain,
( spl6_1268
| ~ spl6_1037
| ~ spl6_1267 ),
inference(avatar_split_clause,[],[f63226,f63222,f52927,f63228]) ).
fof(f63228,plain,
( spl6_1268
<=> sz00 = sdtasdt0(sz00,sK5(sz00,sdtsldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1268])]) ).
fof(f63222,plain,
( spl6_1267
<=> sz00 = sdtasdt0(sz00,sK5(sz00,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1267])]) ).
fof(f63226,plain,
( sz00 = sdtasdt0(sz00,sK5(sz00,sdtsldt0(xp,xp)))
| ~ spl6_1037
| ~ spl6_1267 ),
inference(forward_demodulation,[],[f63224,f52929]) ).
fof(f63224,plain,
( sz00 = sdtasdt0(sz00,sK5(sz00,sdtasdt0(xn,xm)))
| ~ spl6_1267 ),
inference(avatar_component_clause,[],[f63222]) ).
fof(f63225,plain,
( spl6_1267
| ~ spl6_7
| ~ spl6_134
| ~ spl6_228
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f32073,f23868,f3512,f1952,f285,f63222]) ).
fof(f3512,plain,
( spl6_228
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f32073,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sz00,sK5(sz00,sdtasdt0(xn,xm)))
| ~ spl6_228
| ~ spl6_702 ),
inference(resolution,[],[f23869,f3513]) ).
fof(f3513,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_228 ),
inference(avatar_component_clause,[],[f3512]) ).
fof(f63220,plain,
( spl6_1266
| ~ spl6_738
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53108,f52927,f29780,f63217]) ).
fof(f63217,plain,
( spl6_1266
<=> sdtlseqdt0(sdtsldt0(xp,xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1266])]) ).
fof(f29780,plain,
( spl6_738
<=> sdtlseqdt0(sdtasdt0(xn,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_738])]) ).
fof(f53108,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),xr)
| ~ spl6_738
| ~ spl6_1037 ),
inference(superposition,[],[f29782,f52929]) ).
fof(f29782,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xr)
| ~ spl6_738 ),
inference(avatar_component_clause,[],[f29780]) ).
fof(f63160,plain,
( spl6_1265
| ~ spl6_1037
| ~ spl6_1264 ),
inference(avatar_split_clause,[],[f63155,f63151,f52927,f63157]) ).
fof(f63157,plain,
( spl6_1265
<=> sz00 = sdtasdt0(sK5(sz00,sdtsldt0(xp,xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1265])]) ).
fof(f63151,plain,
( spl6_1264
<=> sz00 = sdtasdt0(sK5(sz00,sdtasdt0(xn,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1264])]) ).
fof(f63155,plain,
( sz00 = sdtasdt0(sK5(sz00,sdtsldt0(xp,xp)),sz00)
| ~ spl6_1037
| ~ spl6_1264 ),
inference(forward_demodulation,[],[f63153,f52929]) ).
fof(f63153,plain,
( sz00 = sdtasdt0(sK5(sz00,sdtasdt0(xn,xm)),sz00)
| ~ spl6_1264 ),
inference(avatar_component_clause,[],[f63151]) ).
fof(f63154,plain,
( spl6_1264
| ~ spl6_7
| ~ spl6_134
| ~ spl6_225
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f32072,f23868,f3470,f1952,f285,f63151]) ).
fof(f3470,plain,
( spl6_225
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f32072,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sK5(sz00,sdtasdt0(xn,xm)),sz00)
| ~ spl6_225
| ~ spl6_702 ),
inference(resolution,[],[f23869,f3471]) ).
fof(f3471,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_225 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f63147,plain,
( spl6_1263
| ~ spl6_40
| ~ spl6_273
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27428,f24736,f4231,f445,f63145]) ).
fof(f63145,plain,
( spl6_1263
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1263])]) ).
fof(f445,plain,
( spl6_40
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f4231,plain,
( spl6_273
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f27428,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_273
| ~ spl6_709 ),
inference(forward_demodulation,[],[f27351,f27294]) ).
fof(f27294,plain,
( sdtasdt0(xm,xp) = sdtasdt0(sdtasdt0(xm,xp),sz10)
| ~ spl6_40
| ~ spl6_709 ),
inference(resolution,[],[f24737,f446]) ).
fof(f446,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f27351,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xm,xp),sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_273
| ~ spl6_709 ),
inference(resolution,[],[f24737,f4232]) ).
fof(f4232,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_273 ),
inference(avatar_component_clause,[],[f4231]) ).
fof(f63142,plain,
( spl6_1262
| ~ spl6_37
| ~ spl6_270
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27425,f24736,f4217,f432,f63140]) ).
fof(f63140,plain,
( spl6_1262
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xp)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1262])]) ).
fof(f432,plain,
( spl6_37
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f4217,plain,
( spl6_270
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f27425,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xp)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_37
| ~ spl6_270
| ~ spl6_709 ),
inference(forward_demodulation,[],[f27348,f27292]) ).
fof(f27292,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sz00)
| ~ spl6_37
| ~ spl6_709 ),
inference(resolution,[],[f24737,f433]) ).
fof(f433,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f27348,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xm,xp),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_270
| ~ spl6_709 ),
inference(resolution,[],[f24737,f4218]) ).
fof(f4218,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_270 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f63136,plain,
( spl6_1261
| ~ spl6_200
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27327,f24736,f3157,f63134]) ).
fof(f63134,plain,
( spl6_1261
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xm,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1261])]) ).
fof(f3157,plain,
( spl6_200
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f27327,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xm,xp),X0)) )
| ~ spl6_200
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3158]) ).
fof(f3158,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl6_200 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f63130,plain,
( spl6_1260
| ~ spl6_199
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27326,f24736,f3153,f63128]) ).
fof(f63128,plain,
( spl6_1260
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1260])]) ).
fof(f3153,plain,
( spl6_199
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f27326,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz10) )
| ~ spl6_199
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3154]) ).
fof(f3154,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl6_199 ),
inference(avatar_component_clause,[],[f3153]) ).
fof(f63125,plain,
( spl6_1259
| ~ spl6_194
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27324,f24736,f3086,f63123]) ).
fof(f63123,plain,
( spl6_1259
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1259])]) ).
fof(f3086,plain,
( spl6_194
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f27324,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00) )
| ~ spl6_194
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3087]) ).
fof(f3087,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_194 ),
inference(avatar_component_clause,[],[f3086]) ).
fof(f63119,plain,
( spl6_1258
| ~ spl6_193
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27323,f24736,f3082,f63117]) ).
fof(f63117,plain,
( spl6_1258
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xm,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1258])]) ).
fof(f3082,plain,
( spl6_193
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f27323,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xm,xp),X0)) )
| ~ spl6_193
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3083]) ).
fof(f3083,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl6_193 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f63113,plain,
( spl6_1257
| ~ spl6_192
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27322,f24736,f3078,f63111]) ).
fof(f63111,plain,
( spl6_1257
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1257])]) ).
fof(f3078,plain,
( spl6_192
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f27322,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz10) )
| ~ spl6_192
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3079]) ).
fof(f3079,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl6_192 ),
inference(avatar_component_clause,[],[f3078]) ).
fof(f63109,plain,
( spl6_1256
| ~ spl6_703
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53096,f52927,f24209,f63106]) ).
fof(f63106,plain,
( spl6_1256
<=> iLess0(xm,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1256])]) ).
fof(f24209,plain,
( spl6_703
<=> iLess0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_703])]) ).
fof(f53096,plain,
( iLess0(xm,sdtsldt0(xp,xp))
| ~ spl6_703
| ~ spl6_1037 ),
inference(superposition,[],[f24211,f52929]) ).
fof(f24211,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ~ spl6_703 ),
inference(avatar_component_clause,[],[f24209]) ).
fof(f63103,plain,
( spl6_1255
| ~ spl6_187
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27320,f24736,f3011,f63101]) ).
fof(f63101,plain,
( spl6_1255
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1255])]) ).
fof(f3011,plain,
( spl6_187
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f27320,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz00) )
| ~ spl6_187
| ~ spl6_709 ),
inference(resolution,[],[f24737,f3012]) ).
fof(f3012,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_187 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f63098,plain,
( spl6_1254
| ~ spl6_157
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27315,f24736,f2589,f63095]) ).
fof(f63095,plain,
( spl6_1254
<=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1254])]) ).
fof(f2589,plain,
( spl6_157
<=> ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f27315,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp)))
| ~ spl6_157
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2590]) ).
fof(f2590,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f63092,plain,
( spl6_1253
| ~ spl6_156
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27314,f24736,f2585,f63089]) ).
fof(f63089,plain,
( spl6_1253
<=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1253])]) ).
fof(f27314,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xm,xp)))
| ~ spl6_156
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2586]) ).
fof(f63080,plain,
( spl6_209
| ~ spl6_6
| spl6_17
| spl6_1251
| ~ spl6_1252
| ~ spl6_268
| ~ spl6_731 ),
inference(avatar_split_clause,[],[f27142,f27122,f4170,f63077,f63073,f335,f280,f3312]) ).
fof(f3312,plain,
( spl6_209
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f335,plain,
( spl6_17
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f63073,plain,
( spl6_1251
<=> sdtlseqdt0(sK3(xp),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1251])]) ).
fof(f63077,plain,
( spl6_1252
<=> aNaturalNumber0(sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1252])]) ).
fof(f4170,plain,
( spl6_268
<=> ! [X0] :
( xm = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f27122,plain,
( spl6_731
<=> ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_731])]) ).
fof(f27142,plain,
( ~ aNaturalNumber0(sK3(xp))
| sdtlseqdt0(sK3(xp),xk)
| xm = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| ~ spl6_268
| ~ spl6_731 ),
inference(duplicate_literal_removal,[],[f27141]) ).
fof(f27141,plain,
( ~ aNaturalNumber0(sK3(xp))
| sdtlseqdt0(sK3(xp),xk)
| xm = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xp))
| sz10 = xp
| ~ spl6_268
| ~ spl6_731 ),
inference(resolution,[],[f27123,f4171]) ).
fof(f4171,plain,
( ! [X0] :
( sdtlseqdt0(sK3(X0),X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_268 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f27123,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xk) )
| ~ spl6_731 ),
inference(avatar_component_clause,[],[f27122]) ).
fof(f63069,plain,
( spl6_1250
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26237,f26209,f2170,f1066,f280,f63066]) ).
fof(f63066,plain,
( spl6_1250
<=> sdtasdt0(sdtasdt0(xm,xp),xk) = sdtsldt0(sdtasdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1250])]) ).
fof(f26209,plain,
( spl6_719
<=> ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_719])]) ).
fof(f26237,plain,
( sdtasdt0(sdtasdt0(xm,xp),xk) = sdtsldt0(sdtasdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)),xp)
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26218,f2500]) ).
fof(f26218,plain,
( sdtasdt0(sdtasdt0(xp,xm),xk) = sdtsldt0(sdtasdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),xp)
| ~ spl6_98
| ~ spl6_719 ),
inference(resolution,[],[f26210,f1067]) ).
fof(f26210,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk) )
| ~ spl6_719 ),
inference(avatar_component_clause,[],[f26209]) ).
fof(f63061,plain,
( spl6_1249
| ~ spl6_716
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26219,f26209,f25308,f63058]) ).
fof(f63058,plain,
( spl6_1249
<=> sdtsldt0(sdtasdt0(sdtasdt0(xk,xm),sdtasdt0(xn,xm)),xp) = sdtasdt0(sdtasdt0(xk,xm),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1249])]) ).
fof(f25308,plain,
( spl6_716
<=> aNaturalNumber0(sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_716])]) ).
fof(f26219,plain,
( sdtsldt0(sdtasdt0(sdtasdt0(xk,xm),sdtasdt0(xn,xm)),xp) = sdtasdt0(sdtasdt0(xk,xm),xk)
| ~ spl6_716
| ~ spl6_719 ),
inference(resolution,[],[f26210,f25310]) ).
fof(f25310,plain,
( aNaturalNumber0(sdtasdt0(xk,xm))
| ~ spl6_716 ),
inference(avatar_component_clause,[],[f25308]) ).
fof(f63053,plain,
( spl6_1248
| ~ spl6_717
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26217,f26209,f25459,f63050]) ).
fof(f63050,plain,
( spl6_1248
<=> sdtsldt0(sdtasdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xm)),xp) = sdtasdt0(sdtasdt0(xm,xm),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1248])]) ).
fof(f25459,plain,
( spl6_717
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_717])]) ).
fof(f26217,plain,
( sdtsldt0(sdtasdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xm)),xp) = sdtasdt0(sdtasdt0(xm,xm),xk)
| ~ spl6_717
| ~ spl6_719 ),
inference(resolution,[],[f26210,f25460]) ).
fof(f25460,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_717 ),
inference(avatar_component_clause,[],[f25459]) ).
fof(f63042,plain,
( ~ spl6_798
| spl6_700
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53094,f52927,f23648,f37138]) ).
fof(f37138,plain,
( spl6_798
<=> sdtlseqdt0(sdtsldt0(xp,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_798])]) ).
fof(f23648,plain,
( spl6_700
<=> sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_700])]) ).
fof(f53094,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| spl6_700
| ~ spl6_1037 ),
inference(superposition,[],[f23649,f52929]) ).
fof(f23649,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| spl6_700 ),
inference(avatar_component_clause,[],[f23648]) ).
fof(f63040,plain,
( spl6_1247
| ~ spl6_134
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26216,f26209,f1952,f63037]) ).
fof(f63037,plain,
( spl6_1247
<=> sdtasdt0(sdtasdt0(xn,xm),xk) = sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1247])]) ).
fof(f26216,plain,
( sdtasdt0(sdtasdt0(xn,xm),xk) = sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),xp)
| ~ spl6_134
| ~ spl6_719 ),
inference(resolution,[],[f26210,f1953]) ).
fof(f1953,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_134 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f63034,plain,
( spl6_1246
| ~ spl6_40
| ~ spl6_273
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25941,f25459,f4231,f445,f63032]) ).
fof(f63032,plain,
( spl6_1246
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1246])]) ).
fof(f25941,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_273
| ~ spl6_717 ),
inference(forward_demodulation,[],[f25866,f25809]) ).
fof(f25809,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10)
| ~ spl6_40
| ~ spl6_717 ),
inference(resolution,[],[f25460,f446]) ).
fof(f25866,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xm,xm),sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_273
| ~ spl6_717 ),
inference(resolution,[],[f25460,f4232]) ).
fof(f63030,plain,
( spl6_1245
| ~ spl6_37
| ~ spl6_270
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25938,f25459,f4217,f432,f63028]) ).
fof(f63028,plain,
( spl6_1245
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1245])]) ).
fof(f25938,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_37
| ~ spl6_270
| ~ spl6_717 ),
inference(forward_demodulation,[],[f25863,f25807]) ).
fof(f25807,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_37
| ~ spl6_717 ),
inference(resolution,[],[f25460,f433]) ).
fof(f25863,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xm,xm)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xm,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_270
| ~ spl6_717 ),
inference(resolution,[],[f25460,f4218]) ).
fof(f63026,plain,
( spl6_1244
| ~ spl6_324
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25874,f25459,f6340,f63024]) ).
fof(f63024,plain,
( spl6_1244
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1244])]) ).
fof(f6340,plain,
( spl6_324
<=> ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f25874,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xm),X0),xp) )
| ~ spl6_324
| ~ spl6_717 ),
inference(resolution,[],[f25460,f6341]) ).
fof(f6341,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xp) )
| ~ spl6_324 ),
inference(avatar_component_clause,[],[f6340]) ).
fof(f63022,plain,
( spl6_1243
| ~ spl6_323
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25873,f25459,f6336,f63020]) ).
fof(f63020,plain,
( spl6_1243
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1243])]) ).
fof(f6336,plain,
( spl6_323
<=> ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(xp,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f25873,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_323
| ~ spl6_717 ),
inference(resolution,[],[f25460,f6337]) ).
fof(f6337,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(xp,sdtpldt0(X1,X0)) )
| ~ spl6_323 ),
inference(avatar_component_clause,[],[f6336]) ).
fof(f63017,plain,
( spl6_1242
| ~ spl6_200
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25842,f25459,f3157,f63015]) ).
fof(f63015,plain,
( spl6_1242
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1242])]) ).
fof(f25842,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_200
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3158]) ).
fof(f63012,plain,
( spl6_1241
| ~ spl6_199
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25841,f25459,f3153,f63010]) ).
fof(f63010,plain,
( spl6_1241
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1241])]) ).
fof(f25841,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz10) )
| ~ spl6_199
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3154]) ).
fof(f63008,plain,
( spl6_1240
| ~ spl6_196
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25840,f25459,f3117,f63006]) ).
fof(f63006,plain,
( spl6_1240
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1240])]) ).
fof(f3117,plain,
( spl6_196
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f25840,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_196
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3118]) ).
fof(f3118,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_196 ),
inference(avatar_component_clause,[],[f3117]) ).
fof(f63004,plain,
( spl6_1239
| ~ spl6_194
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25839,f25459,f3086,f63002]) ).
fof(f63002,plain,
( spl6_1239
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1239])]) ).
fof(f25839,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz00) )
| ~ spl6_194
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3087]) ).
fof(f62999,plain,
( spl6_1238
| ~ spl6_193
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25838,f25459,f3082,f62997]) ).
fof(f62997,plain,
( spl6_1238
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1238])]) ).
fof(f25838,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_193
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3083]) ).
fof(f62995,plain,
( spl6_1237
| ~ spl6_475
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53071,f52927,f14832,f62992]) ).
fof(f53071,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),xp)
| ~ spl6_475
| ~ spl6_1037 ),
inference(superposition,[],[f14834,f52929]) ).
fof(f14834,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_475 ),
inference(avatar_component_clause,[],[f14832]) ).
fof(f62989,plain,
( spl6_1236
| ~ spl6_192
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25837,f25459,f3078,f62987]) ).
fof(f62987,plain,
( spl6_1236
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1236])]) ).
fof(f25837,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz10) )
| ~ spl6_192
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3079]) ).
fof(f62985,plain,
( spl6_1235
| ~ spl6_190
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25836,f25459,f3047,f62983]) ).
fof(f62983,plain,
( spl6_1235
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1235])]) ).
fof(f3047,plain,
( spl6_190
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f25836,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_190
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3048]) ).
fof(f3048,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_190 ),
inference(avatar_component_clause,[],[f3047]) ).
fof(f62981,plain,
( spl6_1234
| ~ spl6_187
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25835,f25459,f3011,f62979]) ).
fof(f62979,plain,
( spl6_1234
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1234])]) ).
fof(f25835,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz00) )
| ~ spl6_187
| ~ spl6_717 ),
inference(resolution,[],[f25460,f3012]) ).
fof(f62977,plain,
( spl6_1233
| ~ spl6_157
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25830,f25459,f2589,f62974]) ).
fof(f62974,plain,
( spl6_1233
<=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sdtmndt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1233])]) ).
fof(f25830,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sdtmndt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm)))
| ~ spl6_157
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2590]) ).
fof(f62972,plain,
( spl6_1232
| ~ spl6_156
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25829,f25459,f2585,f62969]) ).
fof(f62969,plain,
( spl6_1232
<=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sK5(sdtasdt0(xm,xm),sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1232])]) ).
fof(f25829,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sK5(sdtasdt0(xm,xm),sdtasdt0(xm,xm)))
| ~ spl6_156
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2586]) ).
fof(f62966,plain,
( spl6_1231
| ~ spl6_40
| ~ spl6_273
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25449,f25308,f4231,f445,f62964]) ).
fof(f62964,plain,
( spl6_1231
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xk,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1231])]) ).
fof(f25449,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xk,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_273
| ~ spl6_716 ),
inference(forward_demodulation,[],[f25374,f25317]) ).
fof(f25317,plain,
( sdtasdt0(xk,xm) = sdtasdt0(sdtasdt0(xk,xm),sz10)
| ~ spl6_40
| ~ spl6_716 ),
inference(resolution,[],[f25310,f446]) ).
fof(f25374,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xk,xm),sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_273
| ~ spl6_716 ),
inference(resolution,[],[f25310,f4232]) ).
fof(f62962,plain,
( spl6_1230
| ~ spl6_37
| ~ spl6_270
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25446,f25308,f4217,f432,f62960]) ).
fof(f62960,plain,
( spl6_1230
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xk,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xk,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1230])]) ).
fof(f25446,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xk,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xk,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_37
| ~ spl6_270
| ~ spl6_716 ),
inference(forward_demodulation,[],[f25371,f25315]) ).
fof(f25315,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sz00)
| ~ spl6_37
| ~ spl6_716 ),
inference(resolution,[],[f25310,f433]) ).
fof(f25371,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xk,xm)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xk,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_270
| ~ spl6_716 ),
inference(resolution,[],[f25310,f4218]) ).
fof(f62958,plain,
( spl6_1229
| ~ spl6_324
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25382,f25308,f6340,f62956]) ).
fof(f62956,plain,
( spl6_1229
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xk,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1229])]) ).
fof(f25382,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xk,xm),X0),xp) )
| ~ spl6_324
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6341]) ).
fof(f62954,plain,
( spl6_1228
| ~ spl6_323
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25381,f25308,f6336,f62952]) ).
fof(f62952,plain,
( spl6_1228
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1228])]) ).
fof(f25381,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_323
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6337]) ).
fof(f62950,plain,
( spl6_1227
| ~ spl6_322
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25380,f25308,f6332,f62948]) ).
fof(f62948,plain,
( spl6_1227
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xk,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1227])]) ).
fof(f6332,plain,
( spl6_322
<=> ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f25380,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xk,xm),X0),xp) )
| ~ spl6_322
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6333]) ).
fof(f6333,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xp) )
| ~ spl6_322 ),
inference(avatar_component_clause,[],[f6332]) ).
fof(f62937,plain,
( spl6_1226
| ~ spl6_299
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53056,f52927,f5828,f62934]) ).
fof(f62934,plain,
( spl6_1226
<=> iLess0(sdtsldt0(xp,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1226])]) ).
fof(f5828,plain,
( spl6_299
<=> iLess0(sdtasdt0(xn,xm),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f53056,plain,
( iLess0(sdtsldt0(xp,xp),xm)
| ~ spl6_299
| ~ spl6_1037 ),
inference(superposition,[],[f5830,f52929]) ).
fof(f5830,plain,
( iLess0(sdtasdt0(xn,xm),xm)
| ~ spl6_299 ),
inference(avatar_component_clause,[],[f5828]) ).
fof(f62906,plain,
( spl6_1225
| ~ spl6_321
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25379,f25308,f6328,f62904]) ).
fof(f62904,plain,
( spl6_1225
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1225])]) ).
fof(f6328,plain,
( spl6_321
<=> ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(xp,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f25379,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_321
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6329]) ).
fof(f6329,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(xp,sdtasdt0(X1,X0)) )
| ~ spl6_321 ),
inference(avatar_component_clause,[],[f6328]) ).
fof(f62901,plain,
( spl6_1224
| ~ spl6_200
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25350,f25308,f3157,f62899]) ).
fof(f62899,plain,
( spl6_1224
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1224])]) ).
fof(f25350,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_200
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3158]) ).
fof(f62896,plain,
( spl6_1223
| ~ spl6_199
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25349,f25308,f3153,f62894]) ).
fof(f62894,plain,
( spl6_1223
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1223])]) ).
fof(f25349,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz10) )
| ~ spl6_199
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3154]) ).
fof(f62892,plain,
( spl6_1222
| ~ spl6_196
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25348,f25308,f3117,f62890]) ).
fof(f62890,plain,
( spl6_1222
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1222])]) ).
fof(f25348,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_196
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3118]) ).
fof(f62888,plain,
( spl6_1221
| ~ spl6_194
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25347,f25308,f3086,f62886]) ).
fof(f62886,plain,
( spl6_1221
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1221])]) ).
fof(f25347,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz00) )
| ~ spl6_194
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3087]) ).
fof(f62883,plain,
( spl6_1220
| ~ spl6_193
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25346,f25308,f3082,f62881]) ).
fof(f62881,plain,
( spl6_1220
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1220])]) ).
fof(f25346,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_193
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3083]) ).
fof(f62878,plain,
( spl6_1219
| ~ spl6_192
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25345,f25308,f3078,f62876]) ).
fof(f62876,plain,
( spl6_1219
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1219])]) ).
fof(f25345,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz10) )
| ~ spl6_192
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3079]) ).
fof(f62874,plain,
( spl6_1218
| ~ spl6_190
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25344,f25308,f3047,f62872]) ).
fof(f62872,plain,
( spl6_1218
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1218])]) ).
fof(f25344,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_190
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3048]) ).
fof(f62870,plain,
( spl6_1217
| ~ spl6_187
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25343,f25308,f3011,f62868]) ).
fof(f62868,plain,
( spl6_1217
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1217])]) ).
fof(f25343,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xk,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz00) )
| ~ spl6_187
| ~ spl6_716 ),
inference(resolution,[],[f25310,f3012]) ).
fof(f62866,plain,
( spl6_1216
| ~ spl6_157
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25338,f25308,f2589,f62863]) ).
fof(f62863,plain,
( spl6_1216
<=> sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sdtmndt0(sdtasdt0(xk,xm),sdtasdt0(xk,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1216])]) ).
fof(f25338,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sdtmndt0(sdtasdt0(xk,xm),sdtasdt0(xk,xm)))
| ~ spl6_157
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2590]) ).
fof(f62861,plain,
( ~ spl6_1215
| spl6_210
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53049,f52927,f3319,f62858]) ).
fof(f62858,plain,
( spl6_1215
<=> xr = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1215])]) ).
fof(f3319,plain,
( spl6_210
<=> sdtasdt0(xn,xm) = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f53049,plain,
( xr != sdtsldt0(xp,xp)
| spl6_210
| ~ spl6_1037 ),
inference(superposition,[],[f3320,f52929]) ).
fof(f3320,plain,
( sdtasdt0(xn,xm) != xr
| spl6_210 ),
inference(avatar_component_clause,[],[f3319]) ).
fof(f62856,plain,
( spl6_1214
| ~ spl6_156
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25337,f25308,f2585,f62853]) ).
fof(f62853,plain,
( spl6_1214
<=> sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sK5(sdtasdt0(xk,xm),sdtasdt0(xk,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1214])]) ).
fof(f25337,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sK5(sdtasdt0(xk,xm),sdtasdt0(xk,xm)))
| ~ spl6_156
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2586]) ).
fof(f62850,plain,
( spl6_1213
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f24304,f3117,f2170,f1066,f280,f62848]) ).
fof(f62848,plain,
( spl6_1213
<=> ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1213])]) ).
fof(f24304,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_196 ),
inference(forward_demodulation,[],[f9646,f2500]) ).
fof(f9646,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_196 ),
inference(resolution,[],[f3118,f1067]) ).
fof(f62845,plain,
( spl6_1212
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f24303,f3047,f2170,f1066,f280,f62843]) ).
fof(f62843,plain,
( spl6_1212
<=> ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1212])]) ).
fof(f24303,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_190 ),
inference(forward_demodulation,[],[f9566,f2500]) ).
fof(f9566,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_190 ),
inference(resolution,[],[f3048,f1067]) ).
fof(f62840,plain,
( spl6_1211
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_324 ),
inference(avatar_split_clause,[],[f24267,f6340,f2170,f1066,f280,f62838]) ).
fof(f62838,plain,
( spl6_1211
<=> ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1211])]) ).
fof(f24267,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_324 ),
inference(forward_demodulation,[],[f6435,f2500]) ).
fof(f6435,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X0),xp) )
| ~ spl6_98
| ~ spl6_324 ),
inference(resolution,[],[f6341,f1067]) ).
fof(f62835,plain,
( spl6_1210
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_323 ),
inference(avatar_split_clause,[],[f24266,f6336,f2170,f1066,f280,f62833]) ).
fof(f62833,plain,
( spl6_1210
<=> ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1210])]) ).
fof(f24266,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_323 ),
inference(forward_demodulation,[],[f6391,f2500]) ).
fof(f6391,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_323 ),
inference(resolution,[],[f6337,f1067]) ).
fof(f62830,plain,
( spl6_1209
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_322 ),
inference(avatar_split_clause,[],[f24265,f6332,f2170,f1066,f280,f62828]) ).
fof(f62828,plain,
( spl6_1209
<=> ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1209])]) ).
fof(f24265,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_322 ),
inference(forward_demodulation,[],[f6369,f2500]) ).
fof(f6369,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X0),xp) )
| ~ spl6_98
| ~ spl6_322 ),
inference(resolution,[],[f6333,f1067]) ).
fof(f62825,plain,
( spl6_1208
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_321 ),
inference(avatar_split_clause,[],[f24264,f6328,f2170,f1066,f280,f62823]) ).
fof(f62823,plain,
( spl6_1208
<=> ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1208])]) ).
fof(f24264,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_321 ),
inference(forward_demodulation,[],[f6347,f2500]) ).
fof(f6347,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_321 ),
inference(resolution,[],[f6329,f1067]) ).
fof(f62821,plain,
( ~ spl6_1207
| spl6_631
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f62815,f52927,f21248,f62818]) ).
fof(f62818,plain,
( spl6_1207
<=> sdtsldt0(xp,xp) = sdtpldt0(xp,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1207])]) ).
fof(f21248,plain,
( spl6_631
<=> sdtasdt0(xn,xm) = sdtpldt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_631])]) ).
fof(f62815,plain,
( sdtsldt0(xp,xp) != sdtpldt0(xp,sdtsldt0(xp,xp))
| spl6_631
| ~ spl6_1037 ),
inference(forward_demodulation,[],[f21249,f52929]) ).
fof(f21249,plain,
( sdtasdt0(xn,xm) != sdtpldt0(xp,sdtasdt0(xn,xm))
| spl6_631 ),
inference(avatar_component_clause,[],[f21248]) ).
fof(f62816,plain,
( ~ spl6_1076
| spl6_208
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53048,f52927,f3308,f58066]) ).
fof(f58066,plain,
( spl6_1076
<=> xp = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1076])]) ).
fof(f53048,plain,
( xp != sdtsldt0(xp,xp)
| spl6_208
| ~ spl6_1037 ),
inference(superposition,[],[f3309,f52929]) ).
fof(f3309,plain,
( xp != sdtasdt0(xn,xm)
| spl6_208 ),
inference(avatar_component_clause,[],[f3308]) ).
fof(f62800,plain,
( spl6_1206
| ~ spl6_97
| ~ spl6_106
| ~ spl6_143
| ~ spl6_147
| ~ spl6_241
| ~ spl6_291
| ~ spl6_631 ),
inference(avatar_split_clause,[],[f23495,f21248,f5713,f3714,f2174,f2158,f1110,f1062,f62798]) ).
fof(f62798,plain,
( spl6_1206
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1206])]) ).
fof(f1062,plain,
( spl6_97
<=> aNaturalNumber0(sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f2158,plain,
( spl6_143
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f3714,plain,
( spl6_241
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f23495,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_97
| ~ spl6_106
| ~ spl6_143
| ~ spl6_147
| ~ spl6_241
| ~ spl6_291
| ~ spl6_631 ),
inference(forward_demodulation,[],[f23494,f21250]) ).
fof(f21250,plain,
( sdtasdt0(xn,xm) = sdtpldt0(xp,sdtasdt0(xn,xm))
| ~ spl6_631 ),
inference(avatar_component_clause,[],[f21248]) ).
fof(f23494,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),xp) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_97
| ~ spl6_106
| ~ spl6_143
| ~ spl6_147
| ~ spl6_241
| ~ spl6_291 ),
inference(forward_demodulation,[],[f4651,f23349]) ).
fof(f4651,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xk,xp)),xp) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xk,xp)))
| ~ aNaturalNumber0(X0) )
| ~ spl6_97
| ~ spl6_106
| ~ spl6_143
| ~ spl6_147
| ~ spl6_241 ),
inference(forward_demodulation,[],[f4650,f4616]) ).
fof(f4616,plain,
( sdtpldt0(sdtasdt0(xk,xp),xp) = sdtpldt0(xp,sdtasdt0(xk,xp))
| ~ spl6_97
| ~ spl6_106
| ~ spl6_143
| ~ spl6_147 ),
inference(forward_demodulation,[],[f4558,f4485]) ).
fof(f4558,plain,
( sdtpldt0(sdtasdt0(xp,xk),xp) = sdtpldt0(xp,sdtasdt0(xp,xk))
| ~ spl6_97
| ~ spl6_143 ),
inference(resolution,[],[f1063,f2159]) ).
fof(f2159,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f1063,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f4650,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xk,xp)),xp) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xk,xp),xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_97
| ~ spl6_106
| ~ spl6_147
| ~ spl6_241 ),
inference(forward_demodulation,[],[f4584,f4485]) ).
fof(f4584,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xp,xk)),xp) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xk),xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_97
| ~ spl6_241 ),
inference(resolution,[],[f1063,f3715]) ).
fof(f3715,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_241 ),
inference(avatar_component_clause,[],[f3714]) ).
fof(f62796,plain,
( ~ spl6_1205
| ~ spl6_1037
| spl6_1204 ),
inference(avatar_split_clause,[],[f62791,f62787,f52927,f62793]) ).
fof(f62793,plain,
( spl6_1205
<=> xp = sdtasdt0(sK5(xm,sdtsldt0(xp,xp)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1205])]) ).
fof(f62787,plain,
( spl6_1204
<=> xp = sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1204])]) ).
fof(f62791,plain,
( xp != sdtasdt0(sK5(xm,sdtsldt0(xp,xp)),xp)
| ~ spl6_1037
| spl6_1204 ),
inference(forward_demodulation,[],[f62788,f52929]) ).
fof(f62788,plain,
( xp != sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),xp)
| spl6_1204 ),
inference(avatar_component_clause,[],[f62787]) ).
fof(f62790,plain,
( ~ spl6_5
| ~ spl6_134
| spl6_1204
| ~ spl6_300
| ~ spl6_329 ),
inference(avatar_split_clause,[],[f17891,f6470,f5833,f62787,f1952,f275]) ).
fof(f275,plain,
( spl6_5
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f5833,plain,
( spl6_300
<=> sdtlseqdt0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f6470,plain,
( spl6_329
<=> ! [X0,X1] :
( xp = sdtasdt0(sK5(X0,X1),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f17891,plain,
( xp = sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_300
| ~ spl6_329 ),
inference(resolution,[],[f5834,f6471]) ).
fof(f6471,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xp = sdtasdt0(sK5(X0,X1),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_329 ),
inference(avatar_component_clause,[],[f6470]) ).
fof(f5834,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_300 ),
inference(avatar_component_clause,[],[f5833]) ).
fof(f62732,plain,
( spl6_1203
| ~ spl6_1037
| ~ spl6_1202 ),
inference(avatar_split_clause,[],[f62727,f62723,f52927,f62729]) ).
fof(f62729,plain,
( spl6_1203
<=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtsldt0(xp,xp),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1203])]) ).
fof(f62723,plain,
( spl6_1202
<=> sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1202])]) ).
fof(f62727,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(sdtsldt0(xp,xp),xm))
| ~ spl6_1037
| ~ spl6_1202 ),
inference(forward_demodulation,[],[f62725,f52929]) ).
fof(f62725,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),xm))
| ~ spl6_1202 ),
inference(avatar_component_clause,[],[f62723]) ).
fof(f62726,plain,
( spl6_1202
| ~ spl6_5
| ~ spl6_134
| ~ spl6_232
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f17885,f5833,f3586,f1952,f275,f62723]) ).
fof(f17885,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(xn,xm),xm))
| ~ spl6_232
| ~ spl6_300 ),
inference(resolution,[],[f5834,f3587]) ).
fof(f62666,plain,
( spl6_1201
| ~ spl6_1037
| ~ spl6_1200 ),
inference(avatar_split_clause,[],[f62661,f62657,f52927,f62663]) ).
fof(f62663,plain,
( spl6_1201
<=> sz00 = sdtasdt0(sdtmndt0(sdtsldt0(xp,xp),xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1201])]) ).
fof(f62657,plain,
( spl6_1200
<=> sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1200])]) ).
fof(f62661,plain,
( sz00 = sdtasdt0(sdtmndt0(sdtsldt0(xp,xp),xm),sz00)
| ~ spl6_1037
| ~ spl6_1200 ),
inference(forward_demodulation,[],[f62659,f52929]) ).
fof(f62659,plain,
( sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),xm),sz00)
| ~ spl6_1200 ),
inference(avatar_component_clause,[],[f62657]) ).
fof(f62660,plain,
( spl6_1200
| ~ spl6_5
| ~ spl6_134
| ~ spl6_230
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f17883,f5833,f3549,f1952,f275,f62657]) ).
fof(f17883,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sdtmndt0(sdtasdt0(xn,xm),xm),sz00)
| ~ spl6_230
| ~ spl6_300 ),
inference(resolution,[],[f5834,f3550]) ).
fof(f62655,plain,
( spl6_1199
| ~ spl6_25
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53042,f52927,f380,f62652]) ).
fof(f62652,plain,
( spl6_1199
<=> doDivides0(xr,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1199])]) ).
fof(f380,plain,
( spl6_25
<=> doDivides0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f53042,plain,
( doDivides0(xr,sdtsldt0(xp,xp))
| ~ spl6_25
| ~ spl6_1037 ),
inference(superposition,[],[f382,f52929]) ).
fof(f382,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f62597,plain,
( spl6_1198
| ~ spl6_1037
| ~ spl6_1197 ),
inference(avatar_split_clause,[],[f62592,f62588,f52927,f62594]) ).
fof(f62594,plain,
( spl6_1198
<=> sz00 = sdtasdt0(sz00,sK5(xm,sdtsldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1198])]) ).
fof(f62588,plain,
( spl6_1197
<=> sz00 = sdtasdt0(sz00,sK5(xm,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1197])]) ).
fof(f62592,plain,
( sz00 = sdtasdt0(sz00,sK5(xm,sdtsldt0(xp,xp)))
| ~ spl6_1037
| ~ spl6_1197 ),
inference(forward_demodulation,[],[f62590,f52929]) ).
fof(f62590,plain,
( sz00 = sdtasdt0(sz00,sK5(xm,sdtasdt0(xn,xm)))
| ~ spl6_1197 ),
inference(avatar_component_clause,[],[f62588]) ).
fof(f62591,plain,
( spl6_1197
| ~ spl6_5
| ~ spl6_134
| ~ spl6_228
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f17881,f5833,f3512,f1952,f275,f62588]) ).
fof(f17881,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sz00,sK5(xm,sdtasdt0(xn,xm)))
| ~ spl6_228
| ~ spl6_300 ),
inference(resolution,[],[f5834,f3513]) ).
fof(f62531,plain,
( spl6_1196
| ~ spl6_1037
| ~ spl6_1195 ),
inference(avatar_split_clause,[],[f62526,f62522,f52927,f62528]) ).
fof(f62528,plain,
( spl6_1196
<=> sz00 = sdtasdt0(sK5(xm,sdtsldt0(xp,xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1196])]) ).
fof(f62522,plain,
( spl6_1195
<=> sz00 = sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1195])]) ).
fof(f62526,plain,
( sz00 = sdtasdt0(sK5(xm,sdtsldt0(xp,xp)),sz00)
| ~ spl6_1037
| ~ spl6_1195 ),
inference(forward_demodulation,[],[f62524,f52929]) ).
fof(f62524,plain,
( sz00 = sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),sz00)
| ~ spl6_1195 ),
inference(avatar_component_clause,[],[f62522]) ).
fof(f62525,plain,
( spl6_1195
| ~ spl6_5
| ~ spl6_134
| ~ spl6_225
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f17879,f5833,f3470,f1952,f275,f62522]) ).
fof(f17879,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sK5(xm,sdtasdt0(xn,xm)),sz00)
| ~ spl6_225
| ~ spl6_300 ),
inference(resolution,[],[f5834,f3471]) ).
fof(f62462,plain,
( spl6_1194
| ~ spl6_1037
| ~ spl6_1193 ),
inference(avatar_split_clause,[],[f62457,f62453,f52927,f62459]) ).
fof(f62459,plain,
( spl6_1194
<=> xp = sdtasdt0(sK5(sdtsldt0(xp,xp),xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1194])]) ).
fof(f62453,plain,
( spl6_1193
<=> xp = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1193])]) ).
fof(f62457,plain,
( xp = sdtasdt0(sK5(sdtsldt0(xp,xp),xp),xp)
| ~ spl6_1037
| ~ spl6_1193 ),
inference(forward_demodulation,[],[f62455,f52929]) ).
fof(f62455,plain,
( xp = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),xp)
| ~ spl6_1193 ),
inference(avatar_component_clause,[],[f62453]) ).
fof(f62456,plain,
( ~ spl6_134
| ~ spl6_6
| spl6_1193
| ~ spl6_329
| ~ spl6_475 ),
inference(avatar_split_clause,[],[f14853,f14832,f6470,f62453,f280,f1952]) ).
fof(f14853,plain,
( xp = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_329
| ~ spl6_475 ),
inference(resolution,[],[f14834,f6471]) ).
fof(f62398,plain,
( spl6_1192
| ~ spl6_1007
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52768,f52573,f48706,f62395]) ).
fof(f62395,plain,
( spl6_1192
<=> sdtlseqdt0(xn,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1192])]) ).
fof(f48706,plain,
( spl6_1007
<=> sdtlseqdt0(xn,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1007])]) ).
fof(f52768,plain,
( sdtlseqdt0(xn,sdtsldt0(xp,xp))
| ~ spl6_1007
| ~ spl6_1028 ),
inference(superposition,[],[f48708,f52575]) ).
fof(f48708,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xp))
| ~ spl6_1007 ),
inference(avatar_component_clause,[],[f48706]) ).
fof(f62393,plain,
( spl6_1191
| ~ spl6_1037
| ~ spl6_1190 ),
inference(avatar_split_clause,[],[f62388,f62384,f52927,f62390]) ).
fof(f62390,plain,
( spl6_1191
<=> sz00 = sdtasdt0(sz00,sdtmndt0(xp,sdtsldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1191])]) ).
fof(f62384,plain,
( spl6_1190
<=> sz00 = sdtasdt0(sz00,sdtmndt0(xp,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1190])]) ).
fof(f62388,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(xp,sdtsldt0(xp,xp)))
| ~ spl6_1037
| ~ spl6_1190 ),
inference(forward_demodulation,[],[f62386,f52929]) ).
fof(f62386,plain,
( sz00 = sdtasdt0(sz00,sdtmndt0(xp,sdtasdt0(xn,xm)))
| ~ spl6_1190 ),
inference(avatar_component_clause,[],[f62384]) ).
fof(f62387,plain,
( spl6_1190
| ~ spl6_134
| ~ spl6_6
| ~ spl6_232
| ~ spl6_475 ),
inference(avatar_split_clause,[],[f14847,f14832,f3586,f280,f1952,f62384]) ).
fof(f14847,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtasdt0(sz00,sdtmndt0(xp,sdtasdt0(xn,xm)))
| ~ spl6_232
| ~ spl6_475 ),
inference(resolution,[],[f14834,f3587]) ).
fof(f62327,plain,
( spl6_1189
| ~ spl6_1037
| ~ spl6_1188 ),
inference(avatar_split_clause,[],[f62322,f62318,f52927,f62324]) ).
fof(f62324,plain,
( spl6_1189
<=> sz00 = sdtasdt0(sdtmndt0(xp,sdtsldt0(xp,xp)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1189])]) ).
fof(f62318,plain,
( spl6_1188
<=> sz00 = sdtasdt0(sdtmndt0(xp,sdtasdt0(xn,xm)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1188])]) ).
fof(f62322,plain,
( sz00 = sdtasdt0(sdtmndt0(xp,sdtsldt0(xp,xp)),sz00)
| ~ spl6_1037
| ~ spl6_1188 ),
inference(forward_demodulation,[],[f62320,f52929]) ).
fof(f62320,plain,
( sz00 = sdtasdt0(sdtmndt0(xp,sdtasdt0(xn,xm)),sz00)
| ~ spl6_1188 ),
inference(avatar_component_clause,[],[f62318]) ).
fof(f62321,plain,
( spl6_1188
| ~ spl6_134
| ~ spl6_6
| ~ spl6_230
| ~ spl6_475 ),
inference(avatar_split_clause,[],[f14845,f14832,f3549,f280,f1952,f62318]) ).
fof(f14845,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtasdt0(sdtmndt0(xp,sdtasdt0(xn,xm)),sz00)
| ~ spl6_230
| ~ spl6_475 ),
inference(resolution,[],[f14834,f3550]) ).
fof(f62263,plain,
( spl6_1187
| ~ spl6_1037
| ~ spl6_1186 ),
inference(avatar_split_clause,[],[f62258,f62254,f52927,f62260]) ).
fof(f62260,plain,
( spl6_1187
<=> sz00 = sdtasdt0(sz00,sK5(sdtsldt0(xp,xp),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1187])]) ).
fof(f62254,plain,
( spl6_1186
<=> sz00 = sdtasdt0(sz00,sK5(sdtasdt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1186])]) ).
fof(f62258,plain,
( sz00 = sdtasdt0(sz00,sK5(sdtsldt0(xp,xp),xp))
| ~ spl6_1037
| ~ spl6_1186 ),
inference(forward_demodulation,[],[f62256,f52929]) ).
fof(f62256,plain,
( sz00 = sdtasdt0(sz00,sK5(sdtasdt0(xn,xm),xp))
| ~ spl6_1186 ),
inference(avatar_component_clause,[],[f62254]) ).
fof(f62257,plain,
( spl6_1186
| ~ spl6_134
| ~ spl6_6
| ~ spl6_228
| ~ spl6_475 ),
inference(avatar_split_clause,[],[f14843,f14832,f3512,f280,f1952,f62254]) ).
fof(f14843,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtasdt0(sz00,sK5(sdtasdt0(xn,xm),xp))
| ~ spl6_228
| ~ spl6_475 ),
inference(resolution,[],[f14834,f3513]) ).
fof(f62197,plain,
( spl6_1185
| ~ spl6_1037
| ~ spl6_1183 ),
inference(avatar_split_clause,[],[f62187,f62183,f52927,f62194]) ).
fof(f62194,plain,
( spl6_1185
<=> sz00 = sdtasdt0(sK5(sdtsldt0(xp,xp),xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1185])]) ).
fof(f62183,plain,
( spl6_1183
<=> sz00 = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1183])]) ).
fof(f62187,plain,
( sz00 = sdtasdt0(sK5(sdtsldt0(xp,xp),xp),sz00)
| ~ spl6_1037
| ~ spl6_1183 ),
inference(forward_demodulation,[],[f62185,f52929]) ).
fof(f62185,plain,
( sz00 = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),sz00)
| ~ spl6_1183 ),
inference(avatar_component_clause,[],[f62183]) ).
fof(f62192,plain,
( ~ spl6_1184
| spl6_796
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52762,f52573,f35856,f62189]) ).
fof(f62189,plain,
( spl6_1184
<=> sdtlseqdt0(sdtsldt0(xp,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1184])]) ).
fof(f35856,plain,
( spl6_796
<=> sdtlseqdt0(sdtasdt0(xm,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_796])]) ).
fof(f52762,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),xm)
| spl6_796
| ~ spl6_1028 ),
inference(superposition,[],[f35858,f52575]) ).
fof(f35858,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xp),xm)
| spl6_796 ),
inference(avatar_component_clause,[],[f35856]) ).
fof(f62186,plain,
( spl6_1183
| ~ spl6_134
| ~ spl6_6
| ~ spl6_225
| ~ spl6_475 ),
inference(avatar_split_clause,[],[f14841,f14832,f3470,f280,f1952,f62183]) ).
fof(f14841,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtasdt0(sK5(sdtasdt0(xn,xm),xp),sz00)
| ~ spl6_225
| ~ spl6_475 ),
inference(resolution,[],[f14834,f3471]) ).
fof(f62180,plain,
( spl6_1182
| ~ spl6_37
| ~ spl6_134
| ~ spl6_270 ),
inference(avatar_split_clause,[],[f10650,f4217,f1952,f432,f62178]) ).
fof(f62178,plain,
( spl6_1182
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1182])]) ).
fof(f10650,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_37
| ~ spl6_134
| ~ spl6_270 ),
inference(forward_demodulation,[],[f10624,f2356]) ).
fof(f2356,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_37
| ~ spl6_134 ),
inference(resolution,[],[f1953,f433]) ).
fof(f10624,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xn,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_134
| ~ spl6_270 ),
inference(resolution,[],[f4218,f1953]) ).
fof(f62175,plain,
( spl6_1181
| ~ spl6_37
| ~ spl6_98
| ~ spl6_270 ),
inference(avatar_split_clause,[],[f10642,f4217,f1066,f432,f62173]) ).
fof(f62173,plain,
( spl6_1181
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xp,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1181])]) ).
fof(f10642,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xp,xm)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_37
| ~ spl6_98
| ~ spl6_270 ),
inference(forward_demodulation,[],[f10622,f1234]) ).
fof(f1234,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sz00)
| ~ spl6_37
| ~ spl6_98 ),
inference(resolution,[],[f1067,f433]) ).
fof(f10622,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_98
| ~ spl6_270 ),
inference(resolution,[],[f4218,f1067]) ).
fof(f62170,plain,
( spl6_1180
| ~ spl6_134
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f9648,f3117,f1952,f62168]) ).
fof(f62168,plain,
( spl6_1180
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1180])]) ).
fof(f9648,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_196 ),
inference(resolution,[],[f3118,f1953]) ).
fof(f62165,plain,
( spl6_1179
| ~ spl6_134
| ~ spl6_194 ),
inference(avatar_split_clause,[],[f9611,f3086,f1952,f62163]) ).
fof(f62163,plain,
( spl6_1179
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1179])]) ).
fof(f9611,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) )
| ~ spl6_134
| ~ spl6_194 ),
inference(resolution,[],[f3087,f1953]) ).
fof(f62160,plain,
( spl6_1178
| ~ spl6_98
| ~ spl6_194 ),
inference(avatar_split_clause,[],[f9609,f3086,f1066,f62158]) ).
fof(f62158,plain,
( spl6_1178
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1178])]) ).
fof(f9609,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00) )
| ~ spl6_98
| ~ spl6_194 ),
inference(resolution,[],[f3087,f1067]) ).
fof(f62155,plain,
( spl6_1177
| ~ spl6_134
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f9568,f3047,f1952,f62153]) ).
fof(f62153,plain,
( spl6_1177
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1177])]) ).
fof(f9568,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_190 ),
inference(resolution,[],[f3048,f1953]) ).
fof(f62150,plain,
( spl6_1176
| ~ spl6_134
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f9531,f3011,f1952,f62148]) ).
fof(f62148,plain,
( spl6_1176
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1176])]) ).
fof(f9531,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) )
| ~ spl6_134
| ~ spl6_187 ),
inference(resolution,[],[f3012,f1953]) ).
fof(f62145,plain,
( spl6_1175
| ~ spl6_98
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f9529,f3011,f1066,f62143]) ).
fof(f62143,plain,
( spl6_1175
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1175])]) ).
fof(f9529,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz00) )
| ~ spl6_98
| ~ spl6_187 ),
inference(resolution,[],[f3012,f1067]) ).
fof(f62140,plain,
( spl6_1174
| ~ spl6_134
| ~ spl6_324 ),
inference(avatar_split_clause,[],[f6437,f6340,f1952,f62138]) ).
fof(f62138,plain,
( spl6_1174
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1174])]) ).
fof(f6437,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),xp) )
| ~ spl6_134
| ~ spl6_324 ),
inference(resolution,[],[f6341,f1953]) ).
fof(f62136,plain,
( spl6_1173
| ~ spl6_759
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52758,f52573,f33218,f62133]) ).
fof(f62133,plain,
( spl6_1173
<=> sdtlseqdt0(xr,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1173])]) ).
fof(f33218,plain,
( spl6_759
<=> sdtlseqdt0(xr,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_759])]) ).
fof(f52758,plain,
( sdtlseqdt0(xr,sdtsldt0(xp,xp))
| ~ spl6_759
| ~ spl6_1028 ),
inference(superposition,[],[f33220,f52575]) ).
fof(f33220,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xp))
| ~ spl6_759 ),
inference(avatar_component_clause,[],[f33218]) ).
fof(f62130,plain,
( spl6_1172
| ~ spl6_134
| ~ spl6_323 ),
inference(avatar_split_clause,[],[f6393,f6336,f1952,f62128]) ).
fof(f62128,plain,
( spl6_1172
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1172])]) ).
fof(f6393,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(xp,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_323 ),
inference(resolution,[],[f6337,f1953]) ).
fof(f62125,plain,
( spl6_1171
| ~ spl6_134
| ~ spl6_322 ),
inference(avatar_split_clause,[],[f6371,f6332,f1952,f62123]) ).
fof(f62123,plain,
( spl6_1171
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1171])]) ).
fof(f6371,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),xp) )
| ~ spl6_134
| ~ spl6_322 ),
inference(resolution,[],[f6333,f1953]) ).
fof(f62120,plain,
( spl6_1170
| ~ spl6_134
| ~ spl6_321 ),
inference(avatar_split_clause,[],[f6349,f6328,f1952,f62118]) ).
fof(f62118,plain,
( spl6_1170
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1170])]) ).
fof(f6349,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtpldt0(xp,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_321 ),
inference(resolution,[],[f6329,f1953]) ).
fof(f62114,plain,
( spl6_1169
| ~ spl6_40
| ~ spl6_134
| ~ spl6_273 ),
inference(avatar_split_clause,[],[f5296,f4231,f1952,f445,f62112]) ).
fof(f62112,plain,
( spl6_1169
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1169])]) ).
fof(f5296,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_134
| ~ spl6_273 ),
inference(forward_demodulation,[],[f4303,f2358]) ).
fof(f2358,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10)
| ~ spl6_40
| ~ spl6_134 ),
inference(resolution,[],[f1953,f446]) ).
fof(f4303,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xn,xm),sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_134
| ~ spl6_273 ),
inference(resolution,[],[f4232,f1953]) ).
fof(f62107,plain,
( spl6_1168
| ~ spl6_40
| ~ spl6_98
| ~ spl6_273 ),
inference(avatar_split_clause,[],[f4317,f4231,f1066,f445,f62105]) ).
fof(f62105,plain,
( spl6_1168
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1168])]) ).
fof(f4317,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_40
| ~ spl6_98
| ~ spl6_273 ),
inference(forward_demodulation,[],[f4302,f1236]) ).
fof(f1236,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sdtasdt0(xp,xm),sz10)
| ~ spl6_40
| ~ spl6_98 ),
inference(resolution,[],[f1067,f446]) ).
fof(f4302,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xp,xm),sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_98
| ~ spl6_273 ),
inference(resolution,[],[f4232,f1067]) ).
fof(f62096,plain,
( spl6_1166
| spl6_998
| ~ spl6_1167
| ~ spl6_4
| spl6_999
| ~ spl6_185
| ~ spl6_268 ),
inference(avatar_split_clause,[],[f4186,f4170,f2987,f48315,f270,f62093,f48311,f62089]) ).
fof(f62089,plain,
( spl6_1166
<=> sdtlseqdt0(sK3(xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1166])]) ).
fof(f48311,plain,
( spl6_998
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_998])]) ).
fof(f62093,plain,
( spl6_1167
<=> aNaturalNumber0(sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1167])]) ).
fof(f270,plain,
( spl6_4
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f48315,plain,
( spl6_999
<=> xn = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_999])]) ).
fof(f2987,plain,
( spl6_185
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f4186,plain,
( xn = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn))
| sz10 = xn
| sdtlseqdt0(sK3(xn),xp)
| ~ spl6_185
| ~ spl6_268 ),
inference(duplicate_literal_removal,[],[f4183]) ).
fof(f4183,plain,
( xn = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn))
| sz10 = xn
| ~ aNaturalNumber0(sK3(xn))
| sdtlseqdt0(sK3(xn),xp)
| ~ spl6_185
| ~ spl6_268 ),
inference(resolution,[],[f4171,f2988]) ).
fof(f2988,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_185 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f62085,plain,
( spl6_1165
| ~ spl6_134
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f3266,f3157,f1952,f62083]) ).
fof(f62083,plain,
( spl6_1165
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1165])]) ).
fof(f3266,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_200 ),
inference(resolution,[],[f3158,f1953]) ).
fof(f62080,plain,
( spl6_1164
| ~ spl6_98
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f3265,f3157,f1066,f62078]) ).
fof(f62078,plain,
( spl6_1164
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xp,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1164])]) ).
fof(f3265,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_200 ),
inference(resolution,[],[f3158,f1067]) ).
fof(f62076,plain,
( spl6_1163
| ~ spl6_744
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52756,f52573,f30841,f62073]) ).
fof(f62073,plain,
( spl6_1163
<=> sdtlseqdt0(xm,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1163])]) ).
fof(f30841,plain,
( spl6_744
<=> sdtlseqdt0(xm,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_744])]) ).
fof(f52756,plain,
( sdtlseqdt0(xm,sdtsldt0(xp,xp))
| ~ spl6_744
| ~ spl6_1028 ),
inference(superposition,[],[f30843,f52575]) ).
fof(f30843,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xp))
| ~ spl6_744 ),
inference(avatar_component_clause,[],[f30841]) ).
fof(f62069,plain,
( spl6_1162
| ~ spl6_134
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f3244,f3153,f1952,f62067]) ).
fof(f62067,plain,
( spl6_1162
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1162])]) ).
fof(f3244,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz10) )
| ~ spl6_134
| ~ spl6_199 ),
inference(resolution,[],[f3154,f1953]) ).
fof(f62062,plain,
( spl6_1161
| ~ spl6_98
| ~ spl6_199 ),
inference(avatar_split_clause,[],[f3243,f3153,f1066,f62060]) ).
fof(f62060,plain,
( spl6_1161
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1161])]) ).
fof(f3243,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz10) )
| ~ spl6_98
| ~ spl6_199 ),
inference(resolution,[],[f3154,f1067]) ).
fof(f62056,plain,
( spl6_1160
| ~ spl6_134
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f3222,f3082,f1952,f62054]) ).
fof(f62054,plain,
( spl6_1160
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1160])]) ).
fof(f3222,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_193 ),
inference(resolution,[],[f3083,f1953]) ).
fof(f62051,plain,
( spl6_1159
| ~ spl6_98
| ~ spl6_193 ),
inference(avatar_split_clause,[],[f3221,f3082,f1066,f62049]) ).
fof(f62049,plain,
( spl6_1159
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xp,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1159])]) ).
fof(f3221,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_193 ),
inference(resolution,[],[f3083,f1067]) ).
fof(f62045,plain,
( spl6_1158
| ~ spl6_134
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f3200,f3078,f1952,f62043]) ).
fof(f62043,plain,
( spl6_1158
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1158])]) ).
fof(f3200,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz10) )
| ~ spl6_134
| ~ spl6_192 ),
inference(resolution,[],[f3079,f1953]) ).
fof(f62038,plain,
( spl6_1157
| ~ spl6_98
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f3199,f3078,f1066,f62036]) ).
fof(f62036,plain,
( spl6_1157
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1157])]) ).
fof(f3199,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz10) )
| ~ spl6_98
| ~ spl6_192 ),
inference(resolution,[],[f3079,f1067]) ).
fof(f62033,plain,
( spl6_1156
| ~ spl6_134
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f2668,f2589,f1952,f62030]) ).
fof(f62030,plain,
( spl6_1156
<=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1156])]) ).
fof(f2668,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ spl6_134
| ~ spl6_157 ),
inference(resolution,[],[f2590,f1953]) ).
fof(f62027,plain,
( spl6_1155
| ~ spl6_98
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f2667,f2589,f1066,f62024]) ).
fof(f62024,plain,
( spl6_1155
<=> sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtmndt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1155])]) ).
fof(f2667,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtmndt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)))
| ~ spl6_98
| ~ spl6_157 ),
inference(resolution,[],[f2590,f1067]) ).
fof(f62021,plain,
( spl6_1154
| ~ spl6_134
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f2646,f2585,f1952,f62018]) ).
fof(f62018,plain,
( spl6_1154
<=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1154])]) ).
fof(f2646,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ spl6_134
| ~ spl6_156 ),
inference(resolution,[],[f2586,f1953]) ).
fof(f62015,plain,
( spl6_1153
| ~ spl6_98
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f2645,f2585,f1066,f62012]) ).
fof(f62012,plain,
( spl6_1153
<=> sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sK5(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1153])]) ).
fof(f2645,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sK5(sdtasdt0(xp,xm),sdtasdt0(xp,xm)))
| ~ spl6_98
| ~ spl6_156 ),
inference(resolution,[],[f2586,f1067]) ).
fof(f62010,plain,
( ~ spl6_1152
| spl6_175
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51766,f51721,f2911,f62007]) ).
fof(f62007,plain,
( spl6_1152
<=> xm = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1152])]) ).
fof(f2911,plain,
( spl6_175
<=> xm = sdtasdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f51766,plain,
( xm != sdtsldt0(xp,xp)
| spl6_175
| ~ spl6_1017 ),
inference(superposition,[],[f2912,f51723]) ).
fof(f2912,plain,
( xm != sdtasdt0(xp,xm)
| spl6_175 ),
inference(avatar_component_clause,[],[f2911]) ).
fof(f61973,plain,
( spl6_1151
| ~ spl6_160
| ~ spl6_1142 ),
inference(avatar_split_clause,[],[f61281,f61278,f2694,f61971]) ).
fof(f61971,plain,
( spl6_1151
<=> ! [X0] :
( xr = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sP0(sK3(X0))
| isPrime0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1151])]) ).
fof(f2694,plain,
( spl6_160
<=> sz10 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f61278,plain,
( spl6_1142
<=> ! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sP0(sK3(X0))
| isPrime0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1142])]) ).
fof(f61281,plain,
( ! [X0] :
( xr = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sP0(sK3(X0))
| isPrime0(sK3(X0)) )
| ~ spl6_160
| ~ spl6_1142 ),
inference(forward_demodulation,[],[f61279,f2696]) ).
fof(f2696,plain,
( sz10 = xr
| ~ spl6_160 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f61279,plain,
( ! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sP0(sK3(X0))
| isPrime0(sK3(X0)) )
| ~ spl6_1142 ),
inference(avatar_component_clause,[],[f61278]) ).
fof(f61969,plain,
( spl6_1150
| ~ spl6_160
| ~ spl6_1141 ),
inference(avatar_split_clause,[],[f61276,f61273,f2694,f61967]) ).
fof(f61967,plain,
( spl6_1150
<=> ! [X0] :
( xr = X0
| sP0(X0)
| xm = X0
| ~ isPrime0(sK2(X0))
| sP0(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1150])]) ).
fof(f61273,plain,
( spl6_1141
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ isPrime0(sK2(X0))
| sP0(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1141])]) ).
fof(f61276,plain,
( ! [X0] :
( xr = X0
| sP0(X0)
| xm = X0
| ~ isPrime0(sK2(X0))
| sP0(sK2(X0)) )
| ~ spl6_160
| ~ spl6_1141 ),
inference(forward_demodulation,[],[f61274,f2696]) ).
fof(f61274,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ isPrime0(sK2(X0))
| sP0(sK2(X0)) )
| ~ spl6_1141 ),
inference(avatar_component_clause,[],[f61273]) ).
fof(f61965,plain,
( spl6_1149
| ~ spl6_160
| ~ spl6_1139 ),
inference(avatar_split_clause,[],[f61148,f61145,f2694,f61963]) ).
fof(f61963,plain,
( spl6_1149
<=> ! [X0] :
( xr = X0
| sP0(X0)
| xm = X0
| ~ sP0(sK2(X0))
| isPrime0(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1149])]) ).
fof(f61145,plain,
( spl6_1139
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ sP0(sK2(X0))
| isPrime0(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1139])]) ).
fof(f61148,plain,
( ! [X0] :
( xr = X0
| sP0(X0)
| xm = X0
| ~ sP0(sK2(X0))
| isPrime0(sK2(X0)) )
| ~ spl6_160
| ~ spl6_1139 ),
inference(forward_demodulation,[],[f61146,f2696]) ).
fof(f61146,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ sP0(sK2(X0))
| isPrime0(sK2(X0)) )
| ~ spl6_1139 ),
inference(avatar_component_clause,[],[f61145]) ).
fof(f61920,plain,
( ~ spl6_5
| spl6_1148
| ~ spl6_716
| ~ spl6_70
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(avatar_split_clause,[],[f61719,f4744,f2170,f1110,f744,f25308,f61917,f275]) ).
fof(f61917,plain,
( spl6_1148
<=> sdtasdt0(xk,xm) = sdtpldt0(xm,sK5(xm,sdtasdt0(xk,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1148])]) ).
fof(f744,plain,
( spl6_70
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f4744,plain,
( spl6_285
<=> sdtlseqdt0(xm,sdtasdt0(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f61719,plain,
( ~ aNaturalNumber0(sdtasdt0(xk,xm))
| sdtasdt0(xk,xm) = sdtpldt0(xm,sK5(xm,sdtasdt0(xk,xm)))
| ~ aNaturalNumber0(xm)
| ~ spl6_70
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f61718,f4484]) ).
fof(f4484,plain,
( sdtasdt0(xk,xm) = sdtasdt0(xm,xk)
| ~ spl6_106
| ~ spl6_146 ),
inference(resolution,[],[f1111,f2171]) ).
fof(f61718,plain,
( sdtasdt0(xk,xm) = sdtpldt0(xm,sK5(xm,sdtasdt0(xk,xm)))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_70
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f4750,f4484]) ).
fof(f4750,plain,
( sdtasdt0(xm,xk) = sdtpldt0(xm,sK5(xm,sdtasdt0(xm,xk)))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_70
| ~ spl6_285 ),
inference(resolution,[],[f4746,f745]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f4746,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xk))
| ~ spl6_285 ),
inference(avatar_component_clause,[],[f4744]) ).
fof(f61874,plain,
( ~ spl6_5
| spl6_1147
| ~ spl6_716
| ~ spl6_71
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(avatar_split_clause,[],[f61717,f4744,f2170,f1110,f748,f25308,f61871,f275]) ).
fof(f61871,plain,
( spl6_1147
<=> sdtasdt0(xk,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xk,xm),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1147])]) ).
fof(f748,plain,
( spl6_71
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f61717,plain,
( ~ aNaturalNumber0(sdtasdt0(xk,xm))
| sdtasdt0(xk,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xk,xm),xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f61716,f4484]) ).
fof(f61716,plain,
( sdtasdt0(xk,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xk,xm),xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f4751,f4484]) ).
fof(f4751,plain,
( sdtasdt0(xm,xk) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xm,xk),xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_285 ),
inference(resolution,[],[f4746,f749]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f61775,plain,
( spl6_1140
| ~ spl6_6
| ~ spl6_7
| ~ spl6_808
| ~ spl6_885
| ~ spl6_892
| ~ spl6_893 ),
inference(avatar_split_clause,[],[f48935,f41377,f41373,f41342,f37385,f285,f280,f61150]) ).
fof(f61150,plain,
( spl6_1140
<=> xp = sdtasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1140])]) ).
fof(f37385,plain,
( spl6_808
<=> sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_808])]) ).
fof(f41342,plain,
( spl6_885
<=> sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xp,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_885])]) ).
fof(f41373,plain,
( spl6_892
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_892])]) ).
fof(f41377,plain,
( spl6_893
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_893])]) ).
fof(f48935,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_808
| ~ spl6_885
| ~ spl6_892
| ~ spl6_893 ),
inference(forward_demodulation,[],[f48934,f47000]) ).
fof(f47000,plain,
( xp = sdtasdt0(xp,sdtasdt0(xm,xm))
| ~ spl6_7
| ~ spl6_808
| ~ spl6_893 ),
inference(forward_demodulation,[],[f46973,f37387]) ).
fof(f37387,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_808 ),
inference(avatar_component_clause,[],[f37385]) ).
fof(f46973,plain,
( xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xm),sz00))
| ~ spl6_7
| ~ spl6_893 ),
inference(resolution,[],[f41378,f287]) ).
fof(f41378,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_893 ),
inference(avatar_component_clause,[],[f41377]) ).
fof(f48934,plain,
( xp = sdtasdt0(sdtasdt0(xp,sdtasdt0(xm,xm)),xp)
| ~ spl6_6
| ~ spl6_885
| ~ spl6_892 ),
inference(forward_demodulation,[],[f46920,f41344]) ).
fof(f41344,plain,
( sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xp,sdtasdt0(xm,xm))
| ~ spl6_885 ),
inference(avatar_component_clause,[],[f41342]) ).
fof(f46920,plain,
( xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),xp),xp)
| ~ spl6_6
| ~ spl6_892 ),
inference(resolution,[],[f41374,f282]) ).
fof(f41374,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),xp) )
| ~ spl6_892 ),
inference(avatar_component_clause,[],[f41373]) ).
fof(f61774,plain,
( ~ spl6_5
| spl6_1146
| ~ spl6_716
| ~ spl6_75
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(avatar_split_clause,[],[f61715,f4744,f2170,f1110,f814,f25308,f61772,f275]) ).
fof(f61772,plain,
( spl6_1146
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1146])]) ).
fof(f814,plain,
( spl6_75
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f61715,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xk,xm))
| sdtlseqdt0(X0,sdtasdt0(xk,xm))
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f61714,f4484]) ).
fof(f61714,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xm))
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_106
| ~ spl6_146
| ~ spl6_285 ),
inference(forward_demodulation,[],[f4752,f4484]) ).
fof(f4752,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xm,xk))
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_285 ),
inference(resolution,[],[f4746,f815]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f61645,plain,
( spl6_125
| ~ spl6_5
| ~ spl6_106
| ~ spl6_716
| ~ spl6_775
| ~ spl6_487
| spl6_715 ),
inference(avatar_split_clause,[],[f26154,f25296,f15705,f33670,f25308,f1110,f275,f1245]) ).
fof(f1245,plain,
( spl6_125
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f33670,plain,
( spl6_775
<=> sdtlseqdt0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_775])]) ).
fof(f15705,plain,
( spl6_487
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f25296,plain,
( spl6_715
<=> sdtlseqdt0(xm,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_715])]) ).
fof(f26154,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ spl6_487
| spl6_715 ),
inference(duplicate_literal_removal,[],[f26105]) ).
fof(f26105,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_487
| spl6_715 ),
inference(resolution,[],[f15706,f25298]) ).
fof(f25298,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xk,xm))
| spl6_715 ),
inference(avatar_component_clause,[],[f25296]) ).
fof(f15706,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_487 ),
inference(avatar_component_clause,[],[f15705]) ).
fof(f61402,plain,
( ~ spl6_5
| ~ spl6_106
| ~ spl6_716
| ~ spl6_775
| spl6_17
| ~ spl6_488
| spl6_715 ),
inference(avatar_split_clause,[],[f25306,f25296,f15710,f335,f33670,f25308,f1110,f275]) ).
fof(f15710,plain,
( spl6_488
<=> ! [X2,X0,X1] :
( xp = X2
| sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f25306,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_488
| spl6_715 ),
inference(duplicate_literal_removal,[],[f25300]) ).
fof(f25300,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_488
| spl6_715 ),
inference(resolution,[],[f25298,f15711]) ).
fof(f15711,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| xp = X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_488 ),
inference(avatar_component_clause,[],[f15710]) ).
fof(f61294,plain,
( spl6_1145
| ~ spl6_1037
| ~ spl6_1144 ),
inference(avatar_split_clause,[],[f61290,f61287,f52927,f61292]) ).
fof(f61292,plain,
( spl6_1145
<=> ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1145])]) ).
fof(f61287,plain,
( spl6_1144
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1144])]) ).
fof(f61290,plain,
( ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_1037
| ~ spl6_1144 ),
inference(forward_demodulation,[],[f61288,f52929]) ).
fof(f61288,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_1144 ),
inference(avatar_component_clause,[],[f61287]) ).
fof(f61289,plain,
( ~ spl6_134
| spl6_1144
| ~ spl6_45
| ~ spl6_476 ),
inference(avatar_split_clause,[],[f15029,f15000,f516,f61287,f1952]) ).
fof(f516,plain,
( spl6_45
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f15000,plain,
( spl6_476
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f15029,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) )
| ~ spl6_45
| ~ spl6_476 ),
inference(duplicate_literal_removal,[],[f15009]) ).
fof(f15009,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_45
| ~ spl6_476 ),
inference(resolution,[],[f15001,f517]) ).
fof(f517,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f15001,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_476 ),
inference(avatar_component_clause,[],[f15000]) ).
fof(f61285,plain,
( spl6_1143
| ~ spl6_27
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2962,f2958,f389,f61283]) ).
fof(f61283,plain,
( spl6_1143
<=> ! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ isPrime0(sK3(X0))
| sP0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1143])]) ).
fof(f389,plain,
( spl6_27
<=> ! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f2958,plain,
( spl6_180
<=> ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f2962,plain,
( ! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ isPrime0(sK3(X0))
| sP0(sK3(X0)) )
| ~ spl6_27
| ~ spl6_180 ),
inference(resolution,[],[f2959,f390]) ).
fof(f390,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f2959,plain,
( ! [X0] :
( sP1(sK3(X0))
| sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0 )
| ~ spl6_180 ),
inference(avatar_component_clause,[],[f2958]) ).
fof(f61280,plain,
( spl6_1142
| ~ spl6_28
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2961,f2958,f393,f61278]) ).
fof(f393,plain,
( spl6_28
<=> ! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f2961,plain,
( ! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sP0(sK3(X0))
| isPrime0(sK3(X0)) )
| ~ spl6_28
| ~ spl6_180 ),
inference(resolution,[],[f2959,f394]) ).
fof(f394,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f61275,plain,
( spl6_1141
| ~ spl6_27
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2951,f2947,f389,f61273]) ).
fof(f2947,plain,
( spl6_178
<=> ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f2951,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ isPrime0(sK2(X0))
| sP0(sK2(X0)) )
| ~ spl6_27
| ~ spl6_178 ),
inference(resolution,[],[f2948,f390]) ).
fof(f2948,plain,
( ! [X0] :
( sP1(sK2(X0))
| sP0(X0)
| sz10 = X0
| xm = X0 )
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f2947]) ).
fof(f61153,plain,
( spl6_1140
| ~ spl6_6
| ~ spl6_7
| ~ spl6_813
| ~ spl6_856
| ~ spl6_858 ),
inference(avatar_split_clause,[],[f49240,f41215,f41207,f37450,f285,f280,f61150]) ).
fof(f41207,plain,
( spl6_856
<=> ! [X0] :
( xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_856])]) ).
fof(f49240,plain,
( xp = sdtasdt0(xp,xp)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_813
| ~ spl6_856
| ~ spl6_858 ),
inference(forward_demodulation,[],[f43948,f49234]) ).
fof(f43948,plain,
( xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),xp),xp)
| ~ spl6_6
| ~ spl6_856 ),
inference(resolution,[],[f41208,f282]) ).
fof(f41208,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),xp) )
| ~ spl6_856 ),
inference(avatar_component_clause,[],[f41207]) ).
fof(f61147,plain,
( spl6_1139
| ~ spl6_28
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2950,f2947,f393,f61145]) ).
fof(f2950,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| xm = X0
| ~ sP0(sK2(X0))
| isPrime0(sK2(X0)) )
| ~ spl6_28
| ~ spl6_178 ),
inference(resolution,[],[f2948,f394]) ).
fof(f60719,plain,
( spl6_1138
| ~ spl6_7
| ~ spl6_763
| ~ spl6_892 ),
inference(avatar_split_clause,[],[f48945,f41373,f33282,f285,f60716]) ).
fof(f60716,plain,
( spl6_1138
<=> xp = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1138])]) ).
fof(f33282,plain,
( spl6_763
<=> sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_763])]) ).
fof(f48945,plain,
( xp = sdtasdt0(sz00,xp)
| ~ spl6_7
| ~ spl6_763
| ~ spl6_892 ),
inference(forward_demodulation,[],[f46900,f33284]) ).
fof(f33284,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_763 ),
inference(avatar_component_clause,[],[f33282]) ).
fof(f46900,plain,
( xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),sz00),xp)
| ~ spl6_7
| ~ spl6_892 ),
inference(resolution,[],[f41374,f287]) ).
fof(f60672,plain,
( spl6_1137
| ~ spl6_982
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f60321,f52927,f43250,f60669]) ).
fof(f60669,plain,
( spl6_1137
<=> sdtsldt0(xp,xp) = sdtsldt0(sdtasdt0(xp,sdtsldt0(xp,xp)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1137])]) ).
fof(f43250,plain,
( spl6_982
<=> sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xm)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_982])]) ).
fof(f60321,plain,
( sdtsldt0(xp,xp) = sdtsldt0(sdtasdt0(xp,sdtsldt0(xp,xp)),xp)
| ~ spl6_982
| ~ spl6_1037 ),
inference(forward_demodulation,[],[f43252,f52929]) ).
fof(f43252,plain,
( sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xm)),xp)
| ~ spl6_982 ),
inference(avatar_component_clause,[],[f43250]) ).
fof(f60667,plain,
( ~ spl6_1136
| ~ spl6_1037
| spl6_1105 ),
inference(avatar_split_clause,[],[f58972,f58962,f52927,f60664]) ).
fof(f60664,plain,
( spl6_1136
<=> xk = sK4(xp,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1136])]) ).
fof(f58962,plain,
( spl6_1105
<=> xk = sK4(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1105])]) ).
fof(f58972,plain,
( xk != sK4(xp,sdtsldt0(xp,xp))
| ~ spl6_1037
| spl6_1105 ),
inference(forward_demodulation,[],[f58963,f52929]) ).
fof(f58963,plain,
( xk != sK4(xp,sdtasdt0(xn,xm))
| spl6_1105 ),
inference(avatar_component_clause,[],[f58962]) ).
fof(f60661,plain,
( ~ spl6_1135
| ~ spl6_1037
| spl6_1106 ),
inference(avatar_split_clause,[],[f58970,f58966,f52927,f60658]) ).
fof(f60658,plain,
( spl6_1135
<=> aNaturalNumber0(sK4(xp,sdtsldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1135])]) ).
fof(f58966,plain,
( spl6_1106
<=> aNaturalNumber0(sK4(xp,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1106])]) ).
fof(f58970,plain,
( ~ aNaturalNumber0(sK4(xp,sdtsldt0(xp,xp)))
| ~ spl6_1037
| spl6_1106 ),
inference(forward_demodulation,[],[f58968,f52929]) ).
fof(f58968,plain,
( ~ aNaturalNumber0(sK4(xp,sdtasdt0(xn,xm)))
| spl6_1106 ),
inference(avatar_component_clause,[],[f58966]) ).
fof(f60601,plain,
( ~ spl6_7
| ~ spl6_802
| ~ spl6_799
| spl6_801
| ~ spl6_66
| ~ spl6_798 ),
inference(avatar_split_clause,[],[f37143,f37138,f678,f37195,f37181,f37199,f285]) ).
fof(f37199,plain,
( spl6_802
<=> aNaturalNumber0(sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_802])]) ).
fof(f37181,plain,
( spl6_799
<=> sdtlseqdt0(sz00,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_799])]) ).
fof(f37195,plain,
( spl6_801
<=> sz00 = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_801])]) ).
fof(f678,plain,
( spl6_66
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f37143,plain,
( sz00 = sdtsldt0(xp,xp)
| ~ sdtlseqdt0(sz00,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_798 ),
inference(resolution,[],[f37140,f679]) ).
fof(f679,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f37140,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| ~ spl6_798 ),
inference(avatar_component_clause,[],[f37138]) ).
fof(f60447,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_280
| spl6_1027
| ~ spl6_92
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51792,f51721,f1017,f52474,f4415,f275,f280]) ).
fof(f4415,plain,
( spl6_280
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f52474,plain,
( spl6_1027
<=> ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1027])]) ).
fof(f1017,plain,
( spl6_92
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f51792,plain,
( ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) )
| ~ spl6_92
| ~ spl6_1017 ),
inference(superposition,[],[f1018,f51723]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_92 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f60239,plain,
( ~ spl6_802
| ~ spl6_7
| spl6_801
| spl6_800
| ~ spl6_64
| ~ spl6_798 ),
inference(avatar_split_clause,[],[f37142,f37138,f668,f37191,f37195,f285,f37199]) ).
fof(f37191,plain,
( spl6_800
<=> iLess0(sdtsldt0(xp,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_800])]) ).
fof(f668,plain,
( spl6_64
<=> ! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f37142,plain,
( iLess0(sdtsldt0(xp,xp),sz00)
| sz00 = sdtsldt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ spl6_64
| ~ spl6_798 ),
inference(resolution,[],[f37140,f669]) ).
fof(f669,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f60238,plain,
( ~ spl6_523
| ~ spl6_160
| spl6_209 ),
inference(avatar_split_clause,[],[f57964,f3312,f2694,f16579]) ).
fof(f16579,plain,
( spl6_523
<=> xp = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_523])]) ).
fof(f57964,plain,
( xp != xr
| ~ spl6_160
| spl6_209 ),
inference(forward_demodulation,[],[f3313,f2696]) ).
fof(f3313,plain,
( sz10 != xp
| spl6_209 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f60155,plain,
( spl6_392
| ~ spl6_123
| ~ spl6_160
| ~ spl6_747 ),
inference(avatar_split_clause,[],[f59946,f32322,f2694,f1195,f8691]) ).
fof(f8691,plain,
( spl6_392
<=> sdtlseqdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f32322,plain,
( spl6_747
<=> sdtlseqdt0(sdtasdt0(xr,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_747])]) ).
fof(f59946,plain,
( sdtlseqdt0(xp,sz00)
| ~ spl6_123
| ~ spl6_160
| ~ spl6_747 ),
inference(forward_demodulation,[],[f32323,f42137]) ).
fof(f42137,plain,
( xp = sdtasdt0(xr,xp)
| ~ spl6_123
| ~ spl6_160 ),
inference(superposition,[],[f1197,f2696]) ).
fof(f32323,plain,
( sdtlseqdt0(sdtasdt0(xr,xp),sz00)
| ~ spl6_747 ),
inference(avatar_component_clause,[],[f32322]) ).
fof(f59935,plain,
( spl6_392
| ~ spl6_798
| ~ spl6_1076 ),
inference(avatar_split_clause,[],[f59930,f58066,f37138,f8691]) ).
fof(f59930,plain,
( sdtlseqdt0(xp,sz00)
| ~ spl6_798
| ~ spl6_1076 ),
inference(forward_demodulation,[],[f37140,f58068]) ).
fof(f58068,plain,
( xp = sdtsldt0(xp,xp)
| ~ spl6_1076 ),
inference(avatar_component_clause,[],[f58066]) ).
fof(f59845,plain,
( ~ spl6_5
| spl6_432
| ~ spl6_149
| ~ spl6_793 ),
inference(avatar_split_clause,[],[f35825,f35814,f2252,f13311,f275]) ).
fof(f13311,plain,
( spl6_432
<=> sdtlseqdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
fof(f2252,plain,
( spl6_149
<=> sdtlseqdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f35814,plain,
( spl6_793
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_793])]) ).
fof(f35825,plain,
( sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_149
| ~ spl6_793 ),
inference(resolution,[],[f35815,f2253]) ).
fof(f2253,plain,
( sdtlseqdt0(xm,xm)
| ~ spl6_149 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f35815,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_793 ),
inference(avatar_component_clause,[],[f35814]) ).
fof(f59606,plain,
( spl6_1134
| ~ spl6_1076
| ~ spl6_1133 ),
inference(avatar_split_clause,[],[f59601,f59597,f58066,f59603]) ).
fof(f59603,plain,
( spl6_1134
<=> doDivides0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1134])]) ).
fof(f59597,plain,
( spl6_1133
<=> doDivides0(xm,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1133])]) ).
fof(f59601,plain,
( doDivides0(xm,xp)
| ~ spl6_1076
| ~ spl6_1133 ),
inference(forward_demodulation,[],[f59599,f58068]) ).
fof(f59599,plain,
( doDivides0(xm,sdtsldt0(xp,xp))
| ~ spl6_1133 ),
inference(avatar_component_clause,[],[f59597]) ).
fof(f59600,plain,
( ~ spl6_5
| ~ spl6_802
| ~ spl6_6
| spl6_1133
| ~ spl6_67
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52775,f52573,f682,f59597,f280,f37199,f275]) ).
fof(f682,plain,
( spl6_67
<=> ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f52775,plain,
( doDivides0(xm,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(xm)
| ~ spl6_67
| ~ spl6_1028 ),
inference(superposition,[],[f683,f52575]) ).
fof(f683,plain,
( ! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f59590,plain,
( ~ spl6_432
| spl6_125
| ~ spl6_7
| spl6_798
| ~ spl6_102
| ~ spl6_1027 ),
inference(avatar_split_clause,[],[f52551,f52474,f1090,f37138,f285,f1245,f13311]) ).
fof(f1090,plain,
( spl6_102
<=> sz00 = sdtasdt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f52551,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| ~ aNaturalNumber0(sz00)
| sz00 = xm
| ~ sdtlseqdt0(xm,sz00)
| ~ spl6_102
| ~ spl6_1027 ),
inference(superposition,[],[f52475,f1092]) ).
fof(f1092,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f52475,plain,
( ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_1027 ),
inference(avatar_component_clause,[],[f52474]) ).
fof(f59587,plain,
( spl6_1132
| ~ spl6_160
| ~ spl6_393
| ~ spl6_398
| ~ spl6_794
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52215,f37199,f35845,f8741,f8697,f2694,f59584]) ).
fof(f59584,plain,
( spl6_1132
<=> sdtasdt0(sdtsldt0(xp,xp),xk) = sdtsldt0(sdtasdt0(sdtsldt0(xp,xp),xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1132])]) ).
fof(f8697,plain,
( spl6_393
<=> xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f8741,plain,
( spl6_398
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f35845,plain,
( spl6_794
<=> sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_794])]) ).
fof(f52215,plain,
( sdtasdt0(sdtsldt0(xp,xp),xk) = sdtsldt0(sdtasdt0(sdtsldt0(xp,xp),xk),xr)
| ~ spl6_160
| ~ spl6_393
| ~ spl6_398
| ~ spl6_794
| ~ spl6_802 ),
inference(forward_demodulation,[],[f52079,f42189]) ).
fof(f42189,plain,
( xk = sdtsldt0(xk,xr)
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794 ),
inference(forward_demodulation,[],[f42165,f8699]) ).
fof(f8699,plain,
( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
| ~ spl6_393 ),
inference(avatar_component_clause,[],[f8697]) ).
fof(f42165,plain,
( sdtsldt0(xk,xr) = sdtasdt0(xr,sdtsldt0(xk,xr))
| ~ spl6_160
| ~ spl6_794 ),
inference(superposition,[],[f35847,f2696]) ).
fof(f35847,plain,
( sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr))
| ~ spl6_794 ),
inference(avatar_component_clause,[],[f35845]) ).
fof(f52079,plain,
( sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sdtsldt0(xp,xp),xk),xr)
| ~ spl6_398
| ~ spl6_802 ),
inference(resolution,[],[f37200,f8742]) ).
fof(f8742,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl6_398 ),
inference(avatar_component_clause,[],[f8741]) ).
fof(f37200,plain,
( aNaturalNumber0(sdtsldt0(xp,xp))
| ~ spl6_802 ),
inference(avatar_component_clause,[],[f37199]) ).
fof(f59581,plain,
( spl6_1131
| ~ spl6_272
| ~ spl6_563
| ~ spl6_802
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f52191,f51721,f37199,f18343,f4226,f59579]) ).
fof(f59579,plain,
( spl6_1131
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1131])]) ).
fof(f4226,plain,
( spl6_272
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f18343,plain,
( spl6_563
<=> sz00 = sdtasdt0(sdtasdt0(xp,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_563])]) ).
fof(f52191,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_563
| ~ spl6_802
| ~ spl6_1017 ),
inference(forward_demodulation,[],[f52051,f51768]) ).
fof(f51768,plain,
( sz00 = sdtasdt0(sdtsldt0(xp,xp),sz00)
| ~ spl6_563
| ~ spl6_1017 ),
inference(superposition,[],[f18345,f51723]) ).
fof(f18345,plain,
( sz00 = sdtasdt0(sdtasdt0(xp,xm),sz00)
| ~ spl6_563 ),
inference(avatar_component_clause,[],[f18343]) ).
fof(f52051,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),sz00) = sdtasdt0(X0,sdtasdt0(sdtsldt0(xp,xp),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_802 ),
inference(resolution,[],[f37200,f4227]) ).
fof(f4227,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272 ),
inference(avatar_component_clause,[],[f4226]) ).
fof(f59576,plain,
( spl6_1130
| ~ spl6_52
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f51999,f37199,f555,f59574]) ).
fof(f59574,plain,
( spl6_1130
<=> ! [X0] :
( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1130])]) ).
fof(f555,plain,
( spl6_52
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f51999,plain,
( ! [X0] :
( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_802 ),
inference(resolution,[],[f37200,f556]) ).
fof(f556,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f59571,plain,
( spl6_1129
| ~ spl6_50
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f51998,f37199,f546,f59569]) ).
fof(f59569,plain,
( spl6_1129
<=> ! [X0] :
( sdtpldt0(X0,sdtsldt0(xp,xp)) = sdtpldt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1129])]) ).
fof(f546,plain,
( spl6_50
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f51998,plain,
( ! [X0] :
( sdtpldt0(X0,sdtsldt0(xp,xp)) = sdtpldt0(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_802 ),
inference(resolution,[],[f37200,f547]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f59497,plain,
( spl6_1128
| ~ spl6_1076
| ~ spl6_1127 ),
inference(avatar_split_clause,[],[f59493,f59490,f58066,f59495]) ).
fof(f59493,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_1076
| ~ spl6_1127 ),
inference(forward_demodulation,[],[f59491,f58068]) ).
fof(f59492,plain,
( spl6_1127
| ~ spl6_6
| ~ spl6_7
| ~ spl6_32
| ~ spl6_245
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51682,f43250,f23126,f21158,f5713,f3731,f410,f285,f280,f59490]) ).
fof(f3731,plain,
( spl6_245
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f21158,plain,
( spl6_614
<=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_614])]) ).
fof(f23126,plain,
( spl6_693
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_693])]) ).
fof(f51682,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),xm) = sdtasdt0(X0,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_7
| ~ spl6_32
| ~ spl6_245
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51681,f51534]) ).
fof(f51534,plain,
( sdtasdt0(xn,xm) = sdtsldt0(xp,xp)
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f43252,f40862]) ).
fof(f40862,plain,
( xp = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693 ),
inference(forward_demodulation,[],[f40836,f21160]) ).
fof(f21160,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_614 ),
inference(avatar_component_clause,[],[f21158]) ).
fof(f40836,plain,
( xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xn,xm),sz00))
| ~ spl6_7
| ~ spl6_693 ),
inference(resolution,[],[f23127,f287]) ).
fof(f23127,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_693 ),
inference(avatar_component_clause,[],[f23126]) ).
fof(f51681,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_32
| ~ spl6_245
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5458,f5714]) ).
fof(f5458,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xp),xm) = sdtasdt0(X0,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_32
| ~ spl6_245 ),
inference(forward_demodulation,[],[f3910,f412]) ).
fof(f3910,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_245 ),
inference(resolution,[],[f3732,f282]) ).
fof(f3732,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_245 ),
inference(avatar_component_clause,[],[f3731]) ).
fof(f59427,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1126
| ~ spl6_160
| ~ spl6_357
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f51585,f33670,f7313,f2694,f59424,f1110,f275]) ).
fof(f59424,plain,
( spl6_1126
<=> sK5(xm,xk) = sdtasdt0(sK5(xm,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1126])]) ).
fof(f7313,plain,
( spl6_357
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f51585,plain,
( sK5(xm,xk) = sdtasdt0(sK5(xm,xk),xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_160
| ~ spl6_357
| ~ spl6_775 ),
inference(forward_demodulation,[],[f49693,f2696]) ).
fof(f49693,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sK5(xm,xk) = sdtasdt0(sK5(xm,xk),sz10)
| ~ spl6_357
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7314]) ).
fof(f7314,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) )
| ~ spl6_357 ),
inference(avatar_component_clause,[],[f7313]) ).
fof(f33671,plain,
( sdtlseqdt0(xm,xk)
| ~ spl6_775 ),
inference(avatar_component_clause,[],[f33670]) ).
fof(f59356,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1125
| ~ spl6_160
| ~ spl6_358
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f51584,f33670,f7340,f2694,f59353,f1110,f275]) ).
fof(f59353,plain,
( spl6_1125
<=> sK5(xm,xk) = sdtasdt0(xr,sK5(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1125])]) ).
fof(f7340,plain,
( spl6_358
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f51584,plain,
( sK5(xm,xk) = sdtasdt0(xr,sK5(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_160
| ~ spl6_358
| ~ spl6_775 ),
inference(forward_demodulation,[],[f49694,f2696]) ).
fof(f49694,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sK5(xm,xk) = sdtasdt0(sz10,sK5(xm,xk))
| ~ spl6_358
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7341]) ).
fof(f7341,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) )
| ~ spl6_358 ),
inference(avatar_component_clause,[],[f7340]) ).
fof(f59290,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1124
| ~ spl6_362
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49698,f33670,f7409,f59287,f1110,f275]) ).
fof(f59287,plain,
( spl6_1124
<=> sdtmndt0(xk,xm) = sdtpldt0(xp,sdtmndt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1124])]) ).
fof(f7409,plain,
( spl6_362
<=> ! [X0,X1] :
( sdtmndt0(X1,X0) = sdtpldt0(xp,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f49698,plain,
( sdtmndt0(xk,xm) = sdtpldt0(xp,sdtmndt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_362
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7410]) ).
fof(f7410,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) = sdtpldt0(xp,sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_362 ),
inference(avatar_component_clause,[],[f7409]) ).
fof(f59228,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1123
| ~ spl6_356
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49692,f33670,f7258,f59225,f1110,f275]) ).
fof(f59225,plain,
( spl6_1123
<=> sK5(xm,xk) = sdtpldt0(xp,sK5(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1123])]) ).
fof(f7258,plain,
( spl6_356
<=> ! [X0,X1] :
( sK5(X0,X1) = sdtpldt0(xp,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f49692,plain,
( sK5(xm,xk) = sdtpldt0(xp,sK5(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_356
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7259]) ).
fof(f7259,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sK5(X0,X1) = sdtpldt0(xp,sK5(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_356 ),
inference(avatar_component_clause,[],[f7258]) ).
fof(f59166,plain,
( spl6_1122
| ~ spl6_5
| ~ spl6_106
| ~ spl6_355
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49691,f33670,f7253,f1110,f275,f59163]) ).
fof(f59163,plain,
( spl6_1122
<=> sK5(xm,xk) = sdtpldt0(sz00,sK5(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1122])]) ).
fof(f7253,plain,
( spl6_355
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f49691,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sK5(xm,xk) = sdtpldt0(sz00,sK5(xm,xk))
| ~ spl6_355
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7254]) ).
fof(f7254,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) )
| ~ spl6_355 ),
inference(avatar_component_clause,[],[f7253]) ).
fof(f59106,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1121
| ~ spl6_354
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49690,f33670,f7198,f59103,f1110,f275]) ).
fof(f59103,plain,
( spl6_1121
<=> sK5(xm,xk) = sdtpldt0(sK5(xm,xk),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1121])]) ).
fof(f7198,plain,
( spl6_354
<=> ! [X0,X1] :
( sK5(X0,X1) = sdtpldt0(sK5(X0,X1),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f49690,plain,
( sK5(xm,xk) = sdtpldt0(sK5(xm,xk),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_354
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7199]) ).
fof(f7199,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_354 ),
inference(avatar_component_clause,[],[f7198]) ).
fof(f59047,plain,
( spl6_1120
| ~ spl6_5
| ~ spl6_106
| ~ spl6_353
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49689,f33670,f7193,f1110,f275,f59044]) ).
fof(f59044,plain,
( spl6_1120
<=> sK5(xm,xk) = sdtpldt0(sK5(xm,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1120])]) ).
fof(f7193,plain,
( spl6_353
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f49689,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sK5(xm,xk) = sdtpldt0(sK5(xm,xk),sz00)
| ~ spl6_353
| ~ spl6_775 ),
inference(resolution,[],[f33671,f7194]) ).
fof(f7194,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) )
| ~ spl6_353 ),
inference(avatar_component_clause,[],[f7193]) ).
fof(f59042,plain,
( spl6_1119
| ~ spl6_35
| ~ spl6_272
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33534,f29837,f4226,f424,f59040]) ).
fof(f59040,plain,
( spl6_1119
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xk)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1119])]) ).
fof(f424,plain,
( spl6_35
<=> ! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f29837,plain,
( spl6_741
<=> aNaturalNumber0(sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_741])]) ).
fof(f33534,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xk)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_272
| ~ spl6_741 ),
inference(forward_demodulation,[],[f33423,f33363]) ).
fof(f33363,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,xk),sz00)
| ~ spl6_35
| ~ spl6_741 ),
inference(resolution,[],[f29838,f425]) ).
fof(f425,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) )
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f29838,plain,
( aNaturalNumber0(sdtasdt0(xn,xk))
| ~ spl6_741 ),
inference(avatar_component_clause,[],[f29837]) ).
fof(f33423,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xk)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xn,xk),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_741 ),
inference(resolution,[],[f29838,f4227]) ).
fof(f59038,plain,
( spl6_1118
| ~ spl6_52
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33370,f29837,f555,f59036]) ).
fof(f59036,plain,
( spl6_1118
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xk)) = sdtasdt0(sdtasdt0(xn,xk),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1118])]) ).
fof(f33370,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xk)) = sdtasdt0(sdtasdt0(xn,xk),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_741 ),
inference(resolution,[],[f29838,f556]) ).
fof(f59034,plain,
( spl6_1117
| ~ spl6_50
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33369,f29837,f546,f59032]) ).
fof(f59032,plain,
( spl6_1117
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1117])]) ).
fof(f33369,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_741 ),
inference(resolution,[],[f29838,f547]) ).
fof(f59029,plain,
( spl6_1116
| ~ spl6_35
| ~ spl6_272
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32601,f32332,f4226,f424,f59027]) ).
fof(f59027,plain,
( spl6_1116
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xr,xp)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1116])]) ).
fof(f32601,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xr,xp)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_272
| ~ spl6_748 ),
inference(forward_demodulation,[],[f32516,f32456]) ).
fof(f32456,plain,
( sz00 = sdtasdt0(sdtasdt0(xr,xp),sz00)
| ~ spl6_35
| ~ spl6_748 ),
inference(resolution,[],[f32333,f425]) ).
fof(f32516,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xr,xp)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xr,xp),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_748 ),
inference(resolution,[],[f32333,f4227]) ).
fof(f59024,plain,
( spl6_1115
| ~ spl6_52
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32463,f32332,f555,f59022]) ).
fof(f59022,plain,
( spl6_1115
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1115])]) ).
fof(f32463,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_748 ),
inference(resolution,[],[f32333,f556]) ).
fof(f59019,plain,
( spl6_1114
| ~ spl6_50
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32462,f32332,f546,f59017]) ).
fof(f59017,plain,
( spl6_1114
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xr,xp)) = sdtpldt0(sdtasdt0(xr,xp),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1114])]) ).
fof(f32462,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xr,xp)) = sdtpldt0(sdtasdt0(xr,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_748 ),
inference(resolution,[],[f32333,f547]) ).
fof(f59014,plain,
( spl6_1113
| ~ spl6_35
| ~ spl6_272
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27427,f24736,f4226,f424,f59012]) ).
fof(f59012,plain,
( spl6_1113
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1113])]) ).
fof(f27427,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_272
| ~ spl6_709 ),
inference(forward_demodulation,[],[f27350,f27290]) ).
fof(f27290,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xp),sz00)
| ~ spl6_35
| ~ spl6_709 ),
inference(resolution,[],[f24737,f425]) ).
fof(f27350,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xm,xp),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_709 ),
inference(resolution,[],[f24737,f4227]) ).
fof(f59009,plain,
( spl6_1112
| ~ spl6_52
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27297,f24736,f555,f59007]) ).
fof(f59007,plain,
( spl6_1112
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1112])]) ).
fof(f27297,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_709 ),
inference(resolution,[],[f24737,f556]) ).
fof(f59004,plain,
( spl6_1111
| ~ spl6_50
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27296,f24736,f546,f59002]) ).
fof(f59002,plain,
( spl6_1111
<=> ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1111])]) ).
fof(f27296,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_709 ),
inference(resolution,[],[f24737,f547]) ).
fof(f59000,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1110
| ~ spl6_18
| ~ spl6_143
| ~ spl6_360
| ~ spl6_634 ),
inference(avatar_split_clause,[],[f27288,f21264,f7349,f2158,f340,f58997,f280,f275]) ).
fof(f58997,plain,
( spl6_1110
<=> sdtmndt0(xp,xm) = sdtpldt0(xp,sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1110])]) ).
fof(f340,plain,
( spl6_18
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f7349,plain,
( spl6_360
<=> ! [X0,X1] :
( sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f21264,plain,
( spl6_634
<=> aNaturalNumber0(sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_634])]) ).
fof(f27288,plain,
( sdtmndt0(xp,xm) = sdtpldt0(xp,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_18
| ~ spl6_143
| ~ spl6_360
| ~ spl6_634 ),
inference(forward_demodulation,[],[f7373,f26955]) ).
fof(f26955,plain,
( sdtpldt0(sdtmndt0(xp,xm),xp) = sdtpldt0(xp,sdtmndt0(xp,xm))
| ~ spl6_143
| ~ spl6_634 ),
inference(resolution,[],[f21265,f2159]) ).
fof(f21265,plain,
( aNaturalNumber0(sdtmndt0(xp,xm))
| ~ spl6_634 ),
inference(avatar_component_clause,[],[f21264]) ).
fof(f7373,plain,
( sdtmndt0(xp,xm) = sdtpldt0(sdtmndt0(xp,xm),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_18
| ~ spl6_360 ),
inference(resolution,[],[f7350,f342]) ).
fof(f342,plain,
( sdtlseqdt0(xm,xp)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f7350,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_360 ),
inference(avatar_component_clause,[],[f7349]) ).
fof(f58990,plain,
( ~ spl6_1109
| spl6_19
| ~ spl6_7
| spl6_700
| ~ spl6_102
| ~ spl6_722 ),
inference(avatar_split_clause,[],[f26708,f26664,f1090,f23648,f285,f345,f58987]) ).
fof(f58987,plain,
( spl6_1109
<=> sdtlseqdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1109])]) ).
fof(f345,plain,
( spl6_19
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f26664,plain,
( spl6_722
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xk = X0
| ~ sdtlseqdt0(xk,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_722])]) ).
fof(f26708,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| sz00 = xk
| ~ sdtlseqdt0(xk,sz00)
| ~ spl6_102
| ~ spl6_722 ),
inference(superposition,[],[f26665,f1092]) ).
fof(f26665,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xk = X0
| ~ sdtlseqdt0(xk,X0) )
| ~ spl6_722 ),
inference(avatar_component_clause,[],[f26664]) ).
fof(f58985,plain,
( ~ spl6_1108
| ~ spl6_1037
| ~ spl6_1076
| spl6_1105 ),
inference(avatar_split_clause,[],[f58973,f58962,f58066,f52927,f58982]) ).
fof(f58982,plain,
( spl6_1108
<=> xk = sK4(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1108])]) ).
fof(f58973,plain,
( xk != sK4(xp,xp)
| ~ spl6_1037
| ~ spl6_1076
| spl6_1105 ),
inference(forward_demodulation,[],[f58972,f58068]) ).
fof(f58978,plain,
( ~ spl6_1107
| ~ spl6_1037
| ~ spl6_1076
| spl6_1106 ),
inference(avatar_split_clause,[],[f58971,f58966,f58066,f52927,f58975]) ).
fof(f58975,plain,
( spl6_1107
<=> aNaturalNumber0(sK4(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1107])]) ).
fof(f58971,plain,
( ~ aNaturalNumber0(sK4(xp,xp))
| ~ spl6_1037
| ~ spl6_1076
| spl6_1106 ),
inference(forward_demodulation,[],[f58970,f58068]) ).
fof(f58969,plain,
( spl6_1105
| ~ spl6_1106
| ~ spl6_365
| ~ spl6_720 ),
inference(avatar_split_clause,[],[f26657,f26649,f7735,f58966,f58962]) ).
fof(f7735,plain,
( spl6_365
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f26649,plain,
( spl6_720
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_720])]) ).
fof(f26657,plain,
( ~ aNaturalNumber0(sK4(xp,sdtasdt0(xn,xm)))
| xk = sK4(xp,sdtasdt0(xn,xm))
| ~ spl6_365
| ~ spl6_720 ),
inference(trivial_inequality_removal,[],[f26656]) ).
fof(f26656,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sK4(xp,sdtasdt0(xn,xm)))
| xk = sK4(xp,sdtasdt0(xn,xm))
| ~ spl6_365
| ~ spl6_720 ),
inference(superposition,[],[f26650,f7737]) ).
fof(f7737,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm)))
| ~ spl6_365 ),
inference(avatar_component_clause,[],[f7735]) ).
fof(f26650,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| xk = X0 )
| ~ spl6_720 ),
inference(avatar_component_clause,[],[f26649]) ).
fof(f58960,plain,
( spl6_1104
| ~ spl6_35
| ~ spl6_272
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25940,f25459,f4226,f424,f58958]) ).
fof(f58958,plain,
( spl6_1104
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1104])]) ).
fof(f25940,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_272
| ~ spl6_717 ),
inference(forward_demodulation,[],[f25865,f25805]) ).
fof(f25805,plain,
( sz00 = sdtasdt0(sdtasdt0(xm,xm),sz00)
| ~ spl6_35
| ~ spl6_717 ),
inference(resolution,[],[f25460,f425]) ).
fof(f25865,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xm,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_717 ),
inference(resolution,[],[f25460,f4227]) ).
fof(f58956,plain,
( spl6_1103
| ~ spl6_52
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25812,f25459,f555,f58954]) ).
fof(f58954,plain,
( spl6_1103
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(xm,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1103])]) ).
fof(f25812,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(xm,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_717 ),
inference(resolution,[],[f25460,f556]) ).
fof(f58952,plain,
( spl6_1102
| ~ spl6_1028
| ~ spl6_1029
| ~ spl6_1076 ),
inference(avatar_split_clause,[],[f58101,f58066,f52577,f52573,f58949]) ).
fof(f58949,plain,
( spl6_1102
<=> iLess0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1102])]) ).
fof(f52577,plain,
( spl6_1029
<=> iLess0(sdtasdt0(xm,xp),sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1029])]) ).
fof(f58101,plain,
( iLess0(xp,xp)
| ~ spl6_1028
| ~ spl6_1029
| ~ spl6_1076 ),
inference(forward_demodulation,[],[f58100,f58068]) ).
fof(f58100,plain,
( iLess0(sdtsldt0(xp,xp),xp)
| ~ spl6_1028
| ~ spl6_1029
| ~ spl6_1076 ),
inference(forward_demodulation,[],[f58082,f52575]) ).
fof(f58082,plain,
( iLess0(sdtasdt0(xm,xp),xp)
| ~ spl6_1029
| ~ spl6_1076 ),
inference(superposition,[],[f52579,f58068]) ).
fof(f52579,plain,
( iLess0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| ~ spl6_1029 ),
inference(avatar_component_clause,[],[f52577]) ).
fof(f58947,plain,
( spl6_1101
| ~ spl6_50
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25811,f25459,f546,f58945]) ).
fof(f58945,plain,
( spl6_1101
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xm)) = sdtpldt0(sdtasdt0(xm,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1101])]) ).
fof(f25811,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xm,xm)) = sdtpldt0(sdtasdt0(xm,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_717 ),
inference(resolution,[],[f25460,f547]) ).
fof(f58942,plain,
( spl6_1100
| ~ spl6_35
| ~ spl6_272
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25448,f25308,f4226,f424,f58940]) ).
fof(f58940,plain,
( spl6_1100
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1100])]) ).
fof(f25448,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_272
| ~ spl6_716 ),
inference(forward_demodulation,[],[f25373,f25313]) ).
fof(f25313,plain,
( sz00 = sdtasdt0(sdtasdt0(xk,xm),sz00)
| ~ spl6_35
| ~ spl6_716 ),
inference(resolution,[],[f25310,f425]) ).
fof(f25373,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xk,xm)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xk,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_272
| ~ spl6_716 ),
inference(resolution,[],[f25310,f4227]) ).
fof(f58937,plain,
( spl6_1099
| ~ spl6_52
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25320,f25308,f555,f58935]) ).
fof(f58935,plain,
( spl6_1099
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xk,xm)) = sdtasdt0(sdtasdt0(xk,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1099])]) ).
fof(f25320,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xk,xm)) = sdtasdt0(sdtasdt0(xk,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_716 ),
inference(resolution,[],[f25310,f556]) ).
fof(f58932,plain,
( spl6_1098
| ~ spl6_50
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25319,f25308,f546,f58930]) ).
fof(f58930,plain,
( spl6_1098
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xk,xm)) = sdtpldt0(sdtasdt0(xk,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1098])]) ).
fof(f25319,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xk,xm)) = sdtpldt0(sdtasdt0(xk,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_716 ),
inference(resolution,[],[f25310,f547]) ).
fof(f58927,plain,
( spl6_1097
| ~ spl6_8
| ~ spl6_41
| ~ spl6_134
| ~ spl6_522 ),
inference(avatar_split_clause,[],[f16707,f16576,f1952,f449,f290,f58924]) ).
fof(f58924,plain,
( spl6_1097
<=> sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1097])]) ).
fof(f449,plain,
( spl6_41
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f16576,plain,
( spl6_522
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_522])]) ).
fof(f16707,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ spl6_8
| ~ spl6_41
| ~ spl6_134
| ~ spl6_522 ),
inference(forward_demodulation,[],[f16690,f2359]) ).
fof(f2359,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm))
| ~ spl6_41
| ~ spl6_134 ),
inference(resolution,[],[f1953,f450]) ).
fof(f450,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f16690,plain,
( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(sz10,sdtasdt0(xn,xm)),xr)
| ~ spl6_8
| ~ spl6_522 ),
inference(resolution,[],[f16577,f292]) ).
fof(f16577,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) )
| ~ spl6_522 ),
inference(avatar_component_clause,[],[f16576]) ).
fof(f58921,plain,
( spl6_1096
| ~ spl6_35
| ~ spl6_134
| ~ spl6_272 ),
inference(avatar_split_clause,[],[f10702,f4226,f1952,f424,f58919]) ).
fof(f58919,plain,
( spl6_1096
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1096])]) ).
fof(f10702,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_134
| ~ spl6_272 ),
inference(forward_demodulation,[],[f10676,f2354]) ).
fof(f2354,plain,
( sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_35
| ~ spl6_134 ),
inference(resolution,[],[f1953,f425]) ).
fof(f10676,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xn,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_134
| ~ spl6_272 ),
inference(resolution,[],[f4227,f1953]) ).
fof(f58916,plain,
( spl6_1095
| ~ spl6_35
| ~ spl6_98
| ~ spl6_272 ),
inference(avatar_split_clause,[],[f10694,f4226,f1066,f424,f58914]) ).
fof(f58914,plain,
( spl6_1095
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1095])]) ).
fof(f10694,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ~ aNaturalNumber0(X0) )
| ~ spl6_35
| ~ spl6_98
| ~ spl6_272 ),
inference(forward_demodulation,[],[f10674,f1232]) ).
fof(f1232,plain,
( sz00 = sdtasdt0(sdtasdt0(xp,xm),sz00)
| ~ spl6_35
| ~ spl6_98 ),
inference(resolution,[],[f1067,f425]) ).
fof(f10674,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xp,xm),sz00))
| ~ aNaturalNumber0(X0) )
| ~ spl6_98
| ~ spl6_272 ),
inference(resolution,[],[f4227,f1067]) ).
fof(f58911,plain,
( ~ spl6_1094
| spl6_209
| ~ spl6_8
| spl6_286
| ~ spl6_122
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f6104,f6066,f1190,f5348,f290,f3312,f58908]) ).
fof(f58908,plain,
( spl6_1094
<=> sdtlseqdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1094])]) ).
fof(f5348,plain,
( spl6_286
<=> sdtlseqdt0(sdtasdt0(xn,xm),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f1190,plain,
( spl6_122
<=> xm = sdtasdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f6066,plain,
( spl6_309
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f6104,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xm)
| ~ aNaturalNumber0(sz10)
| sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ spl6_122
| ~ spl6_309 ),
inference(superposition,[],[f6067,f1192]) ).
fof(f1192,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f6067,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) )
| ~ spl6_309 ),
inference(avatar_component_clause,[],[f6066]) ).
fof(f58745,plain,
( spl6_803
| ~ spl6_1024
| ~ spl6_1076 ),
inference(avatar_split_clause,[],[f58079,f58066,f52307,f37360]) ).
fof(f37360,plain,
( spl6_803
<=> doDivides0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_803])]) ).
fof(f52307,plain,
( spl6_1024
<=> doDivides0(xp,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1024])]) ).
fof(f58079,plain,
( doDivides0(xp,xp)
| ~ spl6_1024
| ~ spl6_1076 ),
inference(superposition,[],[f52309,f58068]) ).
fof(f52309,plain,
( doDivides0(xp,sdtsldt0(xp,xp))
| ~ spl6_1024 ),
inference(avatar_component_clause,[],[f52307]) ).
fof(f58744,plain,
( spl6_1093
| ~ spl6_160
| ~ spl6_1092 ),
inference(avatar_split_clause,[],[f58739,f58735,f2694,f58741]) ).
fof(f58741,plain,
( spl6_1093
<=> sK3(xp) = sdtasdt0(xr,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1093])]) ).
fof(f58735,plain,
( spl6_1092
<=> sK3(xp) = sdtasdt0(sz10,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1092])]) ).
fof(f58739,plain,
( sK3(xp) = sdtasdt0(xr,sK3(xp))
| ~ spl6_160
| ~ spl6_1092 ),
inference(forward_demodulation,[],[f58737,f2696]) ).
fof(f58737,plain,
( sK3(xp) = sdtasdt0(sz10,sK3(xp))
| ~ spl6_1092 ),
inference(avatar_component_clause,[],[f58735]) ).
fof(f58738,plain,
( spl6_1092
| spl6_17
| spl6_209
| ~ spl6_6
| ~ spl6_266 ),
inference(avatar_split_clause,[],[f4155,f4142,f280,f3312,f335,f58735]) ).
fof(f4142,plain,
( spl6_266
<=> ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f4155,plain,
( sz10 = xp
| xm = xp
| sK3(xp) = sdtasdt0(sz10,sK3(xp))
| ~ spl6_6
| ~ spl6_266 ),
inference(resolution,[],[f4143,f282]) ).
fof(f4143,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 = X0
| xm = X0
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_266 ),
inference(avatar_component_clause,[],[f4142]) ).
fof(f58667,plain,
( spl6_1091
| ~ spl6_160
| ~ spl6_1090 ),
inference(avatar_split_clause,[],[f58662,f58658,f2694,f58664]) ).
fof(f58664,plain,
( spl6_1091
<=> sK3(xn) = sdtasdt0(xr,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1091])]) ).
fof(f58658,plain,
( spl6_1090
<=> sK3(xn) = sdtasdt0(sz10,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1090])]) ).
fof(f58662,plain,
( sK3(xn) = sdtasdt0(xr,sK3(xn))
| ~ spl6_160
| ~ spl6_1090 ),
inference(forward_demodulation,[],[f58660,f2696]) ).
fof(f58660,plain,
( sK3(xn) = sdtasdt0(sz10,sK3(xn))
| ~ spl6_1090 ),
inference(avatar_component_clause,[],[f58658]) ).
fof(f58661,plain,
( spl6_1090
| spl6_999
| spl6_998
| ~ spl6_4
| ~ spl6_266 ),
inference(avatar_split_clause,[],[f4153,f4142,f270,f48311,f48315,f58658]) ).
fof(f4153,plain,
( sz10 = xn
| xn = xm
| sK3(xn) = sdtasdt0(sz10,sK3(xn))
| ~ spl6_4
| ~ spl6_266 ),
inference(resolution,[],[f4143,f272]) ).
fof(f272,plain,
( aNaturalNumber0(xn)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f58590,plain,
( spl6_1089
| ~ spl6_160
| ~ spl6_1088 ),
inference(avatar_split_clause,[],[f58585,f58581,f2694,f58587]) ).
fof(f58587,plain,
( spl6_1089
<=> sK3(sz00) = sdtasdt0(xr,sK3(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1089])]) ).
fof(f58581,plain,
( spl6_1088
<=> sK3(sz00) = sdtasdt0(sz10,sK3(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1088])]) ).
fof(f58585,plain,
( sK3(sz00) = sdtasdt0(xr,sK3(sz00))
| ~ spl6_160
| ~ spl6_1088 ),
inference(forward_demodulation,[],[f58583,f2696]) ).
fof(f58583,plain,
( sK3(sz00) = sdtasdt0(sz10,sK3(sz00))
| ~ spl6_1088 ),
inference(avatar_component_clause,[],[f58581]) ).
fof(f58584,plain,
( spl6_1088
| spl6_125
| spl6_22
| ~ spl6_7
| ~ spl6_266 ),
inference(avatar_split_clause,[],[f4145,f4142,f285,f360,f1245,f58581]) ).
fof(f360,plain,
( spl6_22
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f4145,plain,
( sz00 = sz10
| sz00 = xm
| sK3(sz00) = sdtasdt0(sz10,sK3(sz00))
| ~ spl6_7
| ~ spl6_266 ),
inference(resolution,[],[f4143,f287]) ).
fof(f58518,plain,
( spl6_1087
| ~ spl6_160
| ~ spl6_1085 ),
inference(avatar_split_clause,[],[f58508,f58504,f2694,f58515]) ).
fof(f58515,plain,
( spl6_1087
<=> sK3(xp) = sdtasdt0(sK3(xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1087])]) ).
fof(f58504,plain,
( spl6_1085
<=> sK3(xp) = sdtasdt0(sK3(xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1085])]) ).
fof(f58508,plain,
( sK3(xp) = sdtasdt0(sK3(xp),xr)
| ~ spl6_160
| ~ spl6_1085 ),
inference(forward_demodulation,[],[f58506,f2696]) ).
fof(f58506,plain,
( sK3(xp) = sdtasdt0(sK3(xp),sz10)
| ~ spl6_1085 ),
inference(avatar_component_clause,[],[f58504]) ).
fof(f58513,plain,
( ~ spl6_1086
| spl6_800
| ~ spl6_1076 ),
inference(avatar_split_clause,[],[f58073,f58066,f37191,f58510]) ).
fof(f58510,plain,
( spl6_1086
<=> iLess0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1086])]) ).
fof(f58073,plain,
( ~ iLess0(xp,sz00)
| spl6_800
| ~ spl6_1076 ),
inference(superposition,[],[f37192,f58068]) ).
fof(f37192,plain,
( ~ iLess0(sdtsldt0(xp,xp),sz00)
| spl6_800 ),
inference(avatar_component_clause,[],[f37191]) ).
fof(f58507,plain,
( spl6_1085
| spl6_17
| spl6_209
| ~ spl6_6
| ~ spl6_264 ),
inference(avatar_split_clause,[],[f4127,f4114,f280,f3312,f335,f58504]) ).
fof(f4114,plain,
( spl6_264
<=> ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f4127,plain,
( sz10 = xp
| xm = xp
| sK3(xp) = sdtasdt0(sK3(xp),sz10)
| ~ spl6_6
| ~ spl6_264 ),
inference(resolution,[],[f4115,f282]) ).
fof(f4115,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 = X0
| xm = X0
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_264 ),
inference(avatar_component_clause,[],[f4114]) ).
fof(f58441,plain,
( spl6_1084
| ~ spl6_160
| ~ spl6_1083 ),
inference(avatar_split_clause,[],[f58436,f58432,f2694,f58438]) ).
fof(f58438,plain,
( spl6_1084
<=> sK3(xn) = sdtasdt0(sK3(xn),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1084])]) ).
fof(f58432,plain,
( spl6_1083
<=> sK3(xn) = sdtasdt0(sK3(xn),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1083])]) ).
fof(f58436,plain,
( sK3(xn) = sdtasdt0(sK3(xn),xr)
| ~ spl6_160
| ~ spl6_1083 ),
inference(forward_demodulation,[],[f58434,f2696]) ).
fof(f58434,plain,
( sK3(xn) = sdtasdt0(sK3(xn),sz10)
| ~ spl6_1083 ),
inference(avatar_component_clause,[],[f58432]) ).
fof(f58435,plain,
( spl6_1083
| spl6_999
| spl6_998
| ~ spl6_4
| ~ spl6_264 ),
inference(avatar_split_clause,[],[f4125,f4114,f270,f48311,f48315,f58432]) ).
fof(f4125,plain,
( sz10 = xn
| xn = xm
| sK3(xn) = sdtasdt0(sK3(xn),sz10)
| ~ spl6_4
| ~ spl6_264 ),
inference(resolution,[],[f4115,f272]) ).
fof(f58369,plain,
( spl6_1082
| ~ spl6_160
| ~ spl6_1081 ),
inference(avatar_split_clause,[],[f58364,f58360,f2694,f58366]) ).
fof(f58366,plain,
( spl6_1082
<=> sK3(sz00) = sdtasdt0(sK3(sz00),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1082])]) ).
fof(f58360,plain,
( spl6_1081
<=> sK3(sz00) = sdtasdt0(sK3(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1081])]) ).
fof(f58364,plain,
( sK3(sz00) = sdtasdt0(sK3(sz00),xr)
| ~ spl6_160
| ~ spl6_1081 ),
inference(forward_demodulation,[],[f58362,f2696]) ).
fof(f58362,plain,
( sK3(sz00) = sdtasdt0(sK3(sz00),sz10)
| ~ spl6_1081 ),
inference(avatar_component_clause,[],[f58360]) ).
fof(f58363,plain,
( spl6_1081
| spl6_125
| spl6_22
| ~ spl6_7
| ~ spl6_264 ),
inference(avatar_split_clause,[],[f4117,f4114,f285,f360,f1245,f58360]) ).
fof(f4117,plain,
( sz00 = sz10
| sz00 = xm
| sK3(sz00) = sdtasdt0(sK3(sz00),sz10)
| ~ spl6_7
| ~ spl6_264 ),
inference(resolution,[],[f4115,f287]) ).
fof(f58301,plain,
( spl6_1080
| spl6_209
| spl6_17
| ~ spl6_6
| ~ spl6_261 ),
inference(avatar_split_clause,[],[f4099,f4081,f280,f335,f3312,f58298]) ).
fof(f58298,plain,
( spl6_1080
<=> sK3(xp) = sdtpldt0(xm,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1080])]) ).
fof(f4081,plain,
( spl6_261
<=> ! [X0] :
( sK3(X0) = sdtpldt0(xm,sK3(X0))
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f4099,plain,
( xm = xp
| sz10 = xp
| sK3(xp) = sdtpldt0(xm,sK3(xp))
| ~ spl6_6
| ~ spl6_261 ),
inference(resolution,[],[f4082,f282]) ).
fof(f4082,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = X0
| sz10 = X0
| sK3(X0) = sdtpldt0(xm,sK3(X0)) )
| ~ spl6_261 ),
inference(avatar_component_clause,[],[f4081]) ).
fof(f58291,plain,
( ~ spl6_392
| spl6_798
| ~ spl6_1076 ),
inference(avatar_split_clause,[],[f58071,f58066,f37138,f8691]) ).
fof(f58071,plain,
( ~ sdtlseqdt0(xp,sz00)
| spl6_798
| ~ spl6_1076 ),
inference(superposition,[],[f37139,f58068]) ).
fof(f37139,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| spl6_798 ),
inference(avatar_component_clause,[],[f37138]) ).
fof(f58232,plain,
( spl6_1079
| spl6_998
| spl6_999
| ~ spl6_4
| ~ spl6_261 ),
inference(avatar_split_clause,[],[f4097,f4081,f270,f48315,f48311,f58229]) ).
fof(f58229,plain,
( spl6_1079
<=> sK3(xn) = sdtpldt0(xm,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1079])]) ).
fof(f4097,plain,
( xn = xm
| sz10 = xn
| sK3(xn) = sdtpldt0(xm,sK3(xn))
| ~ spl6_4
| ~ spl6_261 ),
inference(resolution,[],[f4082,f272]) ).
fof(f58169,plain,
( spl6_1078
| spl6_22
| spl6_125
| ~ spl6_7
| ~ spl6_261 ),
inference(avatar_split_clause,[],[f4089,f4081,f285,f1245,f360,f58166]) ).
fof(f58166,plain,
( spl6_1078
<=> sK3(sz00) = sdtpldt0(xm,sK3(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1078])]) ).
fof(f4089,plain,
( sz00 = xm
| sz00 = sz10
| sK3(sz00) = sdtpldt0(xm,sK3(sz00))
| ~ spl6_7
| ~ spl6_261 ),
inference(resolution,[],[f4082,f287]) ).
fof(f58108,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_523
| spl6_1077
| ~ spl6_14
| ~ spl6_454
| ~ spl6_1070 ),
inference(avatar_split_clause,[],[f57744,f57358,f14179,f320,f58105,f16579,f1110,f260]) ).
fof(f260,plain,
( spl6_2
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f58105,plain,
( spl6_1077
<=> xk = sdtpldt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1077])]) ).
fof(f320,plain,
( spl6_14
<=> doDivides0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f14179,plain,
( spl6_454
<=> ! [X0,X1] :
( sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xp)
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f57358,plain,
( spl6_1070
<=> xk = sdtsldt0(xk,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1070])]) ).
fof(f57744,plain,
( xk = sdtpldt0(xk,xp)
| xp = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_454
| ~ spl6_1070 ),
inference(forward_demodulation,[],[f14190,f57360]) ).
fof(f57360,plain,
( xk = sdtsldt0(xk,xr)
| ~ spl6_1070 ),
inference(avatar_component_clause,[],[f57358]) ).
fof(f14190,plain,
( xp = xr
| sdtsldt0(xk,xr) = sdtpldt0(sdtsldt0(xk,xr),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_454 ),
inference(resolution,[],[f14180,f322]) ).
fof(f322,plain,
( doDivides0(xr,xk)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f14180,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| xp = X0
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_454 ),
inference(avatar_component_clause,[],[f14179]) ).
fof(f58069,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_523
| spl6_1076
| ~ spl6_14
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291
| ~ spl6_387
| ~ spl6_1037
| ~ spl6_1070 ),
inference(avatar_split_clause,[],[f57733,f57358,f52927,f8253,f5713,f2174,f1110,f320,f58066,f16579,f1110,f260]) ).
fof(f8253,plain,
( spl6_387
<=> ! [X0,X1] :
( xp = sdtasdt0(sdtsldt0(X1,X0),xp)
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f57733,plain,
( xp = sdtsldt0(xp,xp)
| xp = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291
| ~ spl6_387
| ~ spl6_1037
| ~ spl6_1070 ),
inference(forward_demodulation,[],[f57732,f52929]) ).
fof(f57732,plain,
( xp = sdtasdt0(xn,xm)
| xp = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291
| ~ spl6_387
| ~ spl6_1070 ),
inference(forward_demodulation,[],[f57731,f23349]) ).
fof(f57731,plain,
( xp = sdtasdt0(xk,xp)
| xp = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_387
| ~ spl6_1070 ),
inference(forward_demodulation,[],[f12379,f57360]) ).
fof(f12379,plain,
( xp = xr
| xp = sdtasdt0(sdtsldt0(xk,xr),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_387 ),
inference(resolution,[],[f8254,f322]) ).
fof(f8254,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| xp = X0
| xp = sdtasdt0(sdtsldt0(X1,X0),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_387 ),
inference(avatar_component_clause,[],[f8253]) ).
fof(f58044,plain,
( spl6_461
| spl6_1075
| ~ spl6_2
| ~ spl6_120
| ~ spl6_160
| ~ spl6_497
| ~ spl6_820 ),
inference(avatar_split_clause,[],[f57963,f37485,f16003,f2694,f1180,f260,f58041,f14547]) ).
fof(f14547,plain,
( spl6_461
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f58041,plain,
( spl6_1075
<=> xr = sdtsldt0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1075])]) ).
fof(f1180,plain,
( spl6_120
<=> xr = sdtasdt0(xr,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f16003,plain,
( spl6_497
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f37485,plain,
( spl6_820
<=> sdtsldt0(xr,xr) = sdtasdt0(sz10,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_820])]) ).
fof(f57963,plain,
( ~ aNaturalNumber0(xr)
| xr = sdtsldt0(xr,xr)
| sz00 = xr
| ~ spl6_120
| ~ spl6_160
| ~ spl6_497
| ~ spl6_820 ),
inference(duplicate_literal_removal,[],[f57962]) ).
fof(f57962,plain,
( ~ aNaturalNumber0(xr)
| xr = sdtsldt0(xr,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ spl6_120
| ~ spl6_160
| ~ spl6_497
| ~ spl6_820 ),
inference(forward_demodulation,[],[f57961,f2696]) ).
fof(f57961,plain,
( xr = sdtsldt0(xr,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ aNaturalNumber0(sz10)
| ~ spl6_120
| ~ spl6_160
| ~ spl6_497
| ~ spl6_820 ),
inference(forward_demodulation,[],[f27199,f42172]) ).
fof(f42172,plain,
( sdtsldt0(xr,xr) = sdtasdt0(xr,sdtsldt0(xr,xr))
| ~ spl6_160
| ~ spl6_820 ),
inference(superposition,[],[f37487,f2696]) ).
fof(f37487,plain,
( sdtsldt0(xr,xr) = sdtasdt0(sz10,sdtsldt0(xr,xr))
| ~ spl6_820 ),
inference(avatar_component_clause,[],[f37485]) ).
fof(f27199,plain,
( ~ aNaturalNumber0(xr)
| sz00 = xr
| xr = sdtasdt0(xr,sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sz10)
| ~ spl6_120
| ~ spl6_497 ),
inference(duplicate_literal_removal,[],[f27174]) ).
fof(f27174,plain,
( ~ aNaturalNumber0(xr)
| sz00 = xr
| xr = sdtasdt0(xr,sdtsldt0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ spl6_120
| ~ spl6_497 ),
inference(superposition,[],[f16004,f1182]) ).
fof(f1182,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f16004,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X0
| sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_497 ),
inference(avatar_component_clause,[],[f16003]) ).
fof(f58039,plain,
( spl6_1074
| ~ spl6_585
| ~ spl6_852
| ~ spl6_935 ),
inference(avatar_split_clause,[],[f43769,f42457,f39648,f19630,f58036]) ).
fof(f58036,plain,
( spl6_1074
<=> sz00 = sdtsldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1074])]) ).
fof(f19630,plain,
( spl6_585
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_585])]) ).
fof(f39648,plain,
( spl6_852
<=> sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_852])]) ).
fof(f42457,plain,
( spl6_935
<=> sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xn,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_935])]) ).
fof(f43769,plain,
( sz00 = sdtsldt0(sz00,xr)
| ~ spl6_585
| ~ spl6_852
| ~ spl6_935 ),
inference(forward_demodulation,[],[f43729,f19632]) ).
fof(f19632,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm))
| ~ spl6_585 ),
inference(avatar_component_clause,[],[f19630]) ).
fof(f43729,plain,
( sdtasdt0(sz00,sdtasdt0(xn,xm)) = sdtsldt0(sz00,xr)
| ~ spl6_852
| ~ spl6_935 ),
inference(superposition,[],[f39650,f42459]) ).
fof(f42459,plain,
( sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl6_935 ),
inference(avatar_component_clause,[],[f42457]) ).
fof(f39650,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ spl6_852 ),
inference(avatar_component_clause,[],[f39648]) ).
fof(f57730,plain,
( ~ spl6_736
| ~ spl6_137
| ~ spl6_160
| ~ spl6_523
| spl6_747 ),
inference(avatar_split_clause,[],[f57636,f32322,f16579,f2694,f1966,f29768]) ).
fof(f29768,plain,
( spl6_736
<=> sdtlseqdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_736])]) ).
fof(f1966,plain,
( spl6_137
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f57636,plain,
( ~ sdtlseqdt0(xr,sz00)
| ~ spl6_137
| ~ spl6_160
| ~ spl6_523
| spl6_747 ),
inference(forward_demodulation,[],[f57491,f33612]) ).
fof(f33612,plain,
( xr = sdtasdt0(xr,xr)
| ~ spl6_137
| ~ spl6_160 ),
inference(superposition,[],[f1968,f2696]) ).
fof(f1968,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_137 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f57491,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xr),sz00)
| ~ spl6_523
| spl6_747 ),
inference(superposition,[],[f32324,f16581]) ).
fof(f16581,plain,
( xp = xr
| ~ spl6_523 ),
inference(avatar_component_clause,[],[f16579]) ).
fof(f32324,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xp),sz00)
| spl6_747 ),
inference(avatar_component_clause,[],[f32322]) ).
fof(f57729,plain,
( spl6_1073
| ~ spl6_160
| ~ spl6_289
| ~ spl6_523
| ~ spl6_829 ),
inference(avatar_split_clause,[],[f57383,f37530,f16579,f5502,f2694,f57726]) ).
fof(f57726,plain,
( spl6_1073
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1073])]) ).
fof(f5502,plain,
( spl6_289
<=> sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f37530,plain,
( spl6_829
<=> xk = sdtasdt0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_829])]) ).
fof(f57383,plain,
( sdtlseqdt0(xk,xk)
| ~ spl6_160
| ~ spl6_289
| ~ spl6_523
| ~ spl6_829 ),
inference(forward_demodulation,[],[f16622,f48073]) ).
fof(f48073,plain,
( xk = sdtasdt0(xr,xk)
| ~ spl6_160
| ~ spl6_829 ),
inference(superposition,[],[f37532,f2696]) ).
fof(f37532,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_829 ),
inference(avatar_component_clause,[],[f37530]) ).
fof(f16622,plain,
( sdtlseqdt0(sdtasdt0(xr,xk),sdtasdt0(xr,xk))
| ~ spl6_289
| ~ spl6_523 ),
inference(superposition,[],[f5504,f16581]) ).
fof(f5504,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk))
| ~ spl6_289 ),
inference(avatar_component_clause,[],[f5502]) ).
fof(f57724,plain,
( spl6_1072
| ~ spl6_160
| ~ spl6_297
| ~ spl6_523
| ~ spl6_829 ),
inference(avatar_split_clause,[],[f57382,f37530,f16579,f5797,f2694,f57721]) ).
fof(f57721,plain,
( spl6_1072
<=> iLess0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1072])]) ).
fof(f5797,plain,
( spl6_297
<=> iLess0(xm,sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f57382,plain,
( iLess0(xm,xk)
| ~ spl6_160
| ~ spl6_297
| ~ spl6_523
| ~ spl6_829 ),
inference(forward_demodulation,[],[f16626,f48073]) ).
fof(f16626,plain,
( iLess0(xm,sdtasdt0(xr,xk))
| ~ spl6_297
| ~ spl6_523 ),
inference(superposition,[],[f5799,f16581]) ).
fof(f5799,plain,
( iLess0(xm,sdtasdt0(xp,xk))
| ~ spl6_297 ),
inference(avatar_component_clause,[],[f5797]) ).
fof(f57368,plain,
( spl6_523
| ~ spl6_160
| ~ spl6_209 ),
inference(avatar_split_clause,[],[f57367,f3312,f2694,f16579]) ).
fof(f57367,plain,
( xp = xr
| ~ spl6_160
| ~ spl6_209 ),
inference(forward_demodulation,[],[f3314,f2696]) ).
fof(f3314,plain,
( sz10 = xp
| ~ spl6_209 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f57366,plain,
( spl6_1071
| spl6_209
| spl6_17
| ~ spl6_6
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f4065,f4052,f280,f335,f3312,f57363]) ).
fof(f57363,plain,
( spl6_1071
<=> sK3(xp) = sdtpldt0(sK3(xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1071])]) ).
fof(f4052,plain,
( spl6_259
<=> ! [X0] :
( sK3(X0) = sdtpldt0(sK3(X0),xm)
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f4065,plain,
( xm = xp
| sz10 = xp
| sK3(xp) = sdtpldt0(sK3(xp),xm)
| ~ spl6_6
| ~ spl6_259 ),
inference(resolution,[],[f4053,f282]) ).
fof(f4053,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = X0
| sz10 = X0
| sK3(X0) = sdtpldt0(sK3(X0),xm) )
| ~ spl6_259 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f57361,plain,
( spl6_1070
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794 ),
inference(avatar_split_clause,[],[f42189,f35845,f8697,f2694,f57358]) ).
fof(f57301,plain,
( spl6_1069
| spl6_998
| spl6_999
| ~ spl6_4
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f4063,f4052,f270,f48315,f48311,f57298]) ).
fof(f57298,plain,
( spl6_1069
<=> sK3(xn) = sdtpldt0(sK3(xn),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1069])]) ).
fof(f4063,plain,
( xn = xm
| sz10 = xn
| sK3(xn) = sdtpldt0(sK3(xn),xm)
| ~ spl6_4
| ~ spl6_259 ),
inference(resolution,[],[f4053,f272]) ).
fof(f57241,plain,
( spl6_1068
| spl6_22
| spl6_125
| ~ spl6_7
| ~ spl6_259 ),
inference(avatar_split_clause,[],[f4055,f4052,f285,f1245,f360,f57238]) ).
fof(f57238,plain,
( spl6_1068
<=> sK3(sz00) = sdtpldt0(sK3(sz00),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1068])]) ).
fof(f4055,plain,
( sz00 = xm
| sz00 = sz10
| sK3(sz00) = sdtpldt0(sK3(sz00),xm)
| ~ spl6_7
| ~ spl6_259 ),
inference(resolution,[],[f4053,f287]) ).
fof(f57236,plain,
( ~ spl6_1067
| ~ spl6_160
| spl6_1066 ),
inference(avatar_split_clause,[],[f57231,f57227,f2694,f57233]) ).
fof(f57233,plain,
( spl6_1067
<=> sK2(sz00) = sdtasdt0(xr,sK2(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1067])]) ).
fof(f57227,plain,
( spl6_1066
<=> sK2(sz00) = sdtasdt0(sz10,sK2(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1066])]) ).
fof(f57231,plain,
( sK2(sz00) != sdtasdt0(xr,sK2(sz00))
| ~ spl6_160
| spl6_1066 ),
inference(forward_demodulation,[],[f57228,f2696]) ).
fof(f57228,plain,
( sK2(sz00) != sdtasdt0(sz10,sK2(sz00))
| spl6_1066 ),
inference(avatar_component_clause,[],[f57227]) ).
fof(f57230,plain,
( spl6_1066
| spl6_22
| spl6_125
| spl6_10
| ~ spl6_257 ),
inference(avatar_split_clause,[],[f4041,f4038,f300,f1245,f360,f57227]) ).
fof(f300,plain,
( spl6_10
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f4038,plain,
( spl6_257
<=> ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f4041,plain,
( sz00 = xm
| sz00 = sz10
| sK2(sz00) = sdtasdt0(sz10,sK2(sz00))
| spl6_10
| ~ spl6_257 ),
inference(resolution,[],[f4039,f302]) ).
fof(f302,plain,
( ~ sP0(sz00)
| spl6_10 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f4039,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| sz10 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_257 ),
inference(avatar_component_clause,[],[f4038]) ).
fof(f57225,plain,
( ~ spl6_1065
| ~ spl6_160
| spl6_1064 ),
inference(avatar_split_clause,[],[f57220,f57216,f2694,f57222]) ).
fof(f57222,plain,
( spl6_1065
<=> sK2(sz00) = sdtasdt0(sK2(sz00),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1065])]) ).
fof(f57216,plain,
( spl6_1064
<=> sK2(sz00) = sdtasdt0(sK2(sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1064])]) ).
fof(f57220,plain,
( sK2(sz00) != sdtasdt0(sK2(sz00),xr)
| ~ spl6_160
| spl6_1064 ),
inference(forward_demodulation,[],[f57217,f2696]) ).
fof(f57217,plain,
( sK2(sz00) != sdtasdt0(sK2(sz00),sz10)
| spl6_1064 ),
inference(avatar_component_clause,[],[f57216]) ).
fof(f57219,plain,
( spl6_1064
| spl6_22
| spl6_125
| spl6_10
| ~ spl6_255 ),
inference(avatar_split_clause,[],[f4028,f4025,f300,f1245,f360,f57216]) ).
fof(f4025,plain,
( spl6_255
<=> ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f4028,plain,
( sz00 = xm
| sz00 = sz10
| sK2(sz00) = sdtasdt0(sK2(sz00),sz10)
| spl6_10
| ~ spl6_255 ),
inference(resolution,[],[f4026,f302]) ).
fof(f4026,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| sz10 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_255 ),
inference(avatar_component_clause,[],[f4025]) ).
fof(f57212,plain,
( spl6_22
| spl6_1063
| spl6_125
| spl6_10
| ~ spl6_252 ),
inference(avatar_split_clause,[],[f4010,f4007,f300,f1245,f57209,f360]) ).
fof(f57209,plain,
( spl6_1063
<=> sK2(sz00) = sdtpldt0(xm,sK2(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1063])]) ).
fof(f4007,plain,
( spl6_252
<=> ! [X0] :
( sK2(X0) = sdtpldt0(xm,sK2(X0))
| xm = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f4010,plain,
( sz00 = xm
| sK2(sz00) = sdtpldt0(xm,sK2(sz00))
| sz00 = sz10
| spl6_10
| ~ spl6_252 ),
inference(resolution,[],[f4008,f302]) ).
fof(f4008,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| sK2(X0) = sdtpldt0(xm,sK2(X0))
| sz10 = X0 )
| ~ spl6_252 ),
inference(avatar_component_clause,[],[f4007]) ).
fof(f57207,plain,
( spl6_22
| spl6_1062
| spl6_125
| spl6_10
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f3996,f3993,f300,f1245,f57204,f360]) ).
fof(f57204,plain,
( spl6_1062
<=> sK2(sz00) = sdtpldt0(sK2(sz00),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1062])]) ).
fof(f3993,plain,
( spl6_250
<=> ! [X0] :
( sK2(X0) = sdtpldt0(sK2(X0),xm)
| xm = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f3996,plain,
( sz00 = xm
| sK2(sz00) = sdtpldt0(sK2(sz00),xm)
| sz00 = sz10
| spl6_10
| ~ spl6_250 ),
inference(resolution,[],[f3994,f302]) ).
fof(f3994,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| sK2(X0) = sdtpldt0(sK2(X0),xm)
| sz10 = X0 )
| ~ spl6_250 ),
inference(avatar_component_clause,[],[f3993]) ).
fof(f57202,plain,
( ~ spl6_1061
| spl6_913
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f57048,f52927,f41846,f57199]) ).
fof(f57199,plain,
( spl6_1061
<=> sdtasdt0(xk,xk) = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1061])]) ).
fof(f41846,plain,
( spl6_913
<=> sdtasdt0(xn,xm) = sdtasdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_913])]) ).
fof(f57048,plain,
( sdtasdt0(xk,xk) != sdtsldt0(xp,xp)
| spl6_913
| ~ spl6_1037 ),
inference(forward_demodulation,[],[f41847,f52929]) ).
fof(f41847,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xk,xk)
| spl6_913 ),
inference(avatar_component_clause,[],[f41846]) ).
fof(f57008,plain,
( spl6_726
| ~ spl6_106
| ~ spl6_721
| ~ spl6_913 ),
inference(avatar_split_clause,[],[f41972,f41846,f26659,f1110,f26879]) ).
fof(f26879,plain,
( spl6_726
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_726])]) ).
fof(f26659,plain,
( spl6_721
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_721])]) ).
fof(f41972,plain,
( ~ aNaturalNumber0(xk)
| xp = xk
| ~ spl6_721
| ~ spl6_913 ),
inference(trivial_inequality_removal,[],[f41893]) ).
fof(f41893,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xk)
| xp = xk
| ~ spl6_721
| ~ spl6_913 ),
inference(superposition,[],[f26660,f41848]) ).
fof(f41848,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xk,xk)
| ~ spl6_913 ),
inference(avatar_component_clause,[],[f41846]) ).
fof(f26660,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| xp = X0 )
| ~ spl6_721 ),
inference(avatar_component_clause,[],[f26659]) ).
fof(f57006,plain,
( spl6_1060
| ~ spl6_52
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2361,f1952,f555,f57004]) ).
fof(f57004,plain,
( spl6_1060
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1060])]) ).
fof(f2361,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xn,xm)) = sdtasdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_134 ),
inference(resolution,[],[f1953,f556]) ).
fof(f57001,plain,
( spl6_1059
| ~ spl6_50
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2360,f1952,f546,f56999]) ).
fof(f56999,plain,
( spl6_1059
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1059])]) ).
fof(f2360,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xn,xm)) = sdtpldt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_134 ),
inference(resolution,[],[f1953,f547]) ).
fof(f56996,plain,
( spl6_1058
| ~ spl6_52
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1239,f1066,f555,f56994]) ).
fof(f56994,plain,
( spl6_1058
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1058])]) ).
fof(f1239,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_52
| ~ spl6_98 ),
inference(resolution,[],[f1067,f556]) ).
fof(f56991,plain,
( spl6_1057
| ~ spl6_50
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1238,f1066,f546,f56989]) ).
fof(f56989,plain,
( spl6_1057
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xp,xm)) = sdtpldt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1057])]) ).
fof(f1238,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xp,xm)) = sdtpldt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_50
| ~ spl6_98 ),
inference(resolution,[],[f1067,f547]) ).
fof(f56956,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1056
| ~ spl6_75
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49679,f33670,f814,f56954,f1110,f275]) ).
fof(f56954,plain,
( spl6_1056
<=> ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1056])]) ).
fof(f49679,plain,
( ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_775 ),
inference(resolution,[],[f33671,f815]) ).
fof(f56806,plain,
( ~ spl6_1055
| spl6_900
| ~ spl6_913 ),
inference(avatar_split_clause,[],[f41889,f41846,f41712,f56803]) ).
fof(f56803,plain,
( spl6_1055
<=> sdtasdt0(xn,xm) = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1055])]) ).
fof(f41712,plain,
( spl6_900
<=> xk = sdtasdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_900])]) ).
fof(f41889,plain,
( sdtasdt0(xn,xm) != xk
| spl6_900
| ~ spl6_913 ),
inference(superposition,[],[f41714,f41848]) ).
fof(f41714,plain,
( xk != sdtasdt0(xk,xk)
| spl6_900 ),
inference(avatar_component_clause,[],[f41712]) ).
fof(f56579,plain,
( spl6_1054
| ~ spl6_174
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52021,f37199,f2906,f56577]) ).
fof(f56577,plain,
( spl6_1054
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtsldt0(xp,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1054])]) ).
fof(f2906,plain,
( spl6_174
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f52021,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtsldt0(xp,xp),X0)) )
| ~ spl6_174
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2907]) ).
fof(f2907,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_174 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f56575,plain,
( spl6_1053
| ~ spl6_172
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52020,f37199,f2875,f56573]) ).
fof(f56573,plain,
( spl6_1053
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtsldt0(xp,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1053])]) ).
fof(f2875,plain,
( spl6_172
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f52020,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtsldt0(xp,xp),X0),sz00) )
| ~ spl6_172
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2876]) ).
fof(f2876,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_172 ),
inference(avatar_component_clause,[],[f2875]) ).
fof(f56571,plain,
( spl6_1052
| ~ spl6_170
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52019,f37199,f2844,f56569]) ).
fof(f56569,plain,
( spl6_1052
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtsldt0(xp,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1052])]) ).
fof(f2844,plain,
( spl6_170
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f52019,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtsldt0(xp,xp),X0)) )
| ~ spl6_170
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2845]) ).
fof(f2845,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_170 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f56567,plain,
( spl6_1051
| ~ spl6_168
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52018,f37199,f2813,f56565]) ).
fof(f56565,plain,
( spl6_1051
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtsldt0(xp,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1051])]) ).
fof(f2813,plain,
( spl6_168
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f52018,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtsldt0(xp,xp),X0),sz00) )
| ~ spl6_168
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2814]) ).
fof(f2814,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_168 ),
inference(avatar_component_clause,[],[f2813]) ).
fof(f56508,plain,
( spl6_1050
| ~ spl6_147
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52010,f37199,f2174,f56505]) ).
fof(f56505,plain,
( spl6_1050
<=> sdtasdt0(xp,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1050])]) ).
fof(f52010,plain,
( sdtasdt0(xp,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),xp)
| ~ spl6_147
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2175]) ).
fof(f56503,plain,
( spl6_1049
| ~ spl6_146
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52009,f37199,f2170,f56500]) ).
fof(f56500,plain,
( spl6_1049
<=> sdtasdt0(xm,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1049])]) ).
fof(f52009,plain,
( sdtasdt0(xm,sdtsldt0(xp,xp)) = sdtasdt0(sdtsldt0(xp,xp),xm)
| ~ spl6_146
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2171]) ).
fof(f56498,plain,
( spl6_1048
| ~ spl6_145
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52008,f37199,f2166,f56495]) ).
fof(f56495,plain,
( spl6_1048
<=> sdtasdt0(sdtsldt0(xp,xp),xn) = sdtasdt0(xn,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1048])]) ).
fof(f2166,plain,
( spl6_145
<=> ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f52008,plain,
( sdtasdt0(sdtsldt0(xp,xp),xn) = sdtasdt0(xn,sdtsldt0(xp,xp))
| ~ spl6_145
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2167]) ).
fof(f2167,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ spl6_145 ),
inference(avatar_component_clause,[],[f2166]) ).
fof(f56493,plain,
( spl6_1047
| ~ spl6_144
| ~ spl6_802 ),
inference(avatar_split_clause,[],[f52007,f37199,f2162,f56490]) ).
fof(f56490,plain,
( spl6_1047
<=> sdtpldt0(sdtsldt0(xp,xp),xr) = sdtpldt0(xr,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1047])]) ).
fof(f2162,plain,
( spl6_144
<=> ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f52007,plain,
( sdtpldt0(sdtsldt0(xp,xp),xr) = sdtpldt0(xr,sdtsldt0(xp,xp))
| ~ spl6_144
| ~ spl6_802 ),
inference(resolution,[],[f37200,f2163]) ).
fof(f2163,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ spl6_144 ),
inference(avatar_component_clause,[],[f2162]) ).
fof(f56488,plain,
( spl6_1046
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_922
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51538,f43250,f42369,f23126,f21158,f285,f56485]) ).
fof(f56485,plain,
( spl6_1046
<=> sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtsldt0(xp,xp)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1046])]) ).
fof(f42369,plain,
( spl6_922
<=> sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_922])]) ).
fof(f51538,plain,
( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtsldt0(xp,xp)),xp)
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_922
| ~ spl6_982 ),
inference(forward_demodulation,[],[f42371,f51534]) ).
fof(f42371,plain,
( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xp)
| ~ spl6_922 ),
inference(avatar_component_clause,[],[f42369]) ).
fof(f56483,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1045
| ~ spl6_326
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49685,f33670,f6458,f56479,f1110,f275]) ).
fof(f56479,plain,
( spl6_1045
<=> xp = sdtasdt0(xp,sdtmndt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1045])]) ).
fof(f6458,plain,
( spl6_326
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f49685,plain,
( xp = sdtasdt0(xp,sdtmndt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_326
| ~ spl6_775 ),
inference(resolution,[],[f33671,f6459]) ).
fof(f6459,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xp = sdtasdt0(xp,sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_326 ),
inference(avatar_component_clause,[],[f6458]) ).
fof(f56482,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1045
| ~ spl6_147
| ~ spl6_327
| ~ spl6_775
| ~ spl6_967 ),
inference(avatar_split_clause,[],[f49724,f42808,f33670,f6462,f2174,f56479,f1110,f275]) ).
fof(f6462,plain,
( spl6_327
<=> ! [X0,X1] :
( xp = sdtasdt0(sdtmndt0(X1,X0),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f42808,plain,
( spl6_967
<=> aNaturalNumber0(sdtmndt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_967])]) ).
fof(f49724,plain,
( xp = sdtasdt0(xp,sdtmndt0(xk,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_147
| ~ spl6_327
| ~ spl6_775
| ~ spl6_967 ),
inference(forward_demodulation,[],[f49686,f42881]) ).
fof(f42881,plain,
( sdtasdt0(sdtmndt0(xk,xm),xp) = sdtasdt0(xp,sdtmndt0(xk,xm))
| ~ spl6_147
| ~ spl6_967 ),
inference(resolution,[],[f42810,f2175]) ).
fof(f42810,plain,
( aNaturalNumber0(sdtmndt0(xk,xm))
| ~ spl6_967 ),
inference(avatar_component_clause,[],[f42808]) ).
fof(f49686,plain,
( xp = sdtasdt0(sdtmndt0(xk,xm),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_327
| ~ spl6_775 ),
inference(resolution,[],[f33671,f6463]) ).
fof(f6463,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xp = sdtasdt0(sdtmndt0(X1,X0),xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_327 ),
inference(avatar_component_clause,[],[f6462]) ).
fof(f56418,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1044
| ~ spl6_329
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49688,f33670,f6470,f56415,f1110,f275]) ).
fof(f56415,plain,
( spl6_1044
<=> xp = sdtasdt0(sK5(xm,xk),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1044])]) ).
fof(f49688,plain,
( xp = sdtasdt0(sK5(xm,xk),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_329
| ~ spl6_775 ),
inference(resolution,[],[f33671,f6471]) ).
fof(f56355,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_1043
| ~ spl6_328
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49687,f33670,f6466,f56352,f1110,f275]) ).
fof(f56352,plain,
( spl6_1043
<=> xp = sdtasdt0(xp,sK5(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1043])]) ).
fof(f6466,plain,
( spl6_328
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f49687,plain,
( xp = sdtasdt0(xp,sK5(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_328
| ~ spl6_775 ),
inference(resolution,[],[f33671,f6467]) ).
fof(f6467,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xp = sdtasdt0(xp,sK5(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_328 ),
inference(avatar_component_clause,[],[f6466]) ).
fof(f56295,plain,
( spl6_1042
| ~ spl6_5
| ~ spl6_106
| ~ spl6_228
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49681,f33670,f3512,f1110,f275,f56292]) ).
fof(f56292,plain,
( spl6_1042
<=> sz00 = sdtasdt0(sz00,sK5(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1042])]) ).
fof(f49681,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sz00,sK5(xm,xk))
| ~ spl6_228
| ~ spl6_775 ),
inference(resolution,[],[f33671,f3513]) ).
fof(f56233,plain,
( spl6_1041
| ~ spl6_5
| ~ spl6_106
| ~ spl6_225
| ~ spl6_775 ),
inference(avatar_split_clause,[],[f49680,f33670,f3470,f1110,f275,f56230]) ).
fof(f56230,plain,
( spl6_1041
<=> sz00 = sdtasdt0(sK5(xm,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1041])]) ).
fof(f49680,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sz00 = sdtasdt0(sK5(xm,xk),sz00)
| ~ spl6_225
| ~ spl6_775 ),
inference(resolution,[],[f33671,f3471]) ).
fof(f56227,plain,
( spl6_926
| ~ spl6_160
| ~ spl6_931 ),
inference(avatar_split_clause,[],[f49334,f42431,f2694,f42396]) ).
fof(f42396,plain,
( spl6_926
<=> sdtpldt0(sdtasdt0(xm,xp),xr) = sdtpldt0(xr,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_926])]) ).
fof(f42431,plain,
( spl6_931
<=> sdtpldt0(sdtasdt0(xm,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_931])]) ).
fof(f49334,plain,
( sdtpldt0(sdtasdt0(xm,xp),xr) = sdtpldt0(xr,sdtasdt0(xm,xp))
| ~ spl6_160
| ~ spl6_931 ),
inference(forward_demodulation,[],[f42433,f2696]) ).
fof(f42433,plain,
( sdtpldt0(sdtasdt0(xm,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xp))
| ~ spl6_931 ),
inference(avatar_component_clause,[],[f42431]) ).
fof(f56225,plain,
( spl6_946
| ~ spl6_160
| ~ spl6_951 ),
inference(avatar_split_clause,[],[f49333,f42659,f2694,f42579]) ).
fof(f42579,plain,
( spl6_946
<=> sdtpldt0(sdtasdt0(xr,xp),xr) = sdtpldt0(xr,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_946])]) ).
fof(f42659,plain,
( spl6_951
<=> sdtpldt0(sdtasdt0(xr,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_951])]) ).
fof(f49333,plain,
( sdtpldt0(sdtasdt0(xr,xp),xr) = sdtpldt0(xr,sdtasdt0(xr,xp))
| ~ spl6_160
| ~ spl6_951 ),
inference(forward_demodulation,[],[f42661,f2696]) ).
fof(f42661,plain,
( sdtpldt0(sdtasdt0(xr,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xr,xp))
| ~ spl6_951 ),
inference(avatar_component_clause,[],[f42659]) ).
fof(f56047,plain,
( spl6_227
| ~ spl6_7
| ~ spl6_115
| ~ spl6_667 ),
inference(avatar_split_clause,[],[f40780,f21905,f1155,f285,f3479]) ).
fof(f3479,plain,
( spl6_227
<=> xp = sdtpldt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f1155,plain,
( spl6_115
<=> xp = sdtpldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f21905,plain,
( spl6_667
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_667])]) ).
fof(f40780,plain,
( xp = sdtpldt0(xp,xm)
| ~ spl6_7
| ~ spl6_115
| ~ spl6_667 ),
inference(forward_demodulation,[],[f40754,f1157]) ).
fof(f1157,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f40754,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sdtpldt0(sz00,xp),xm)
| ~ spl6_7
| ~ spl6_667 ),
inference(resolution,[],[f21906,f287]) ).
fof(f21906,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),xm) )
| ~ spl6_667 ),
inference(avatar_component_clause,[],[f21905]) ).
fof(f53359,plain,
( ~ spl6_1040
| spl6_207
| ~ spl6_1037 ),
inference(avatar_split_clause,[],[f53047,f52927,f3304,f53356]) ).
fof(f53356,plain,
( spl6_1040
<=> sP0(sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1040])]) ).
fof(f3304,plain,
( spl6_207
<=> sP0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f53047,plain,
( ~ sP0(sdtsldt0(xp,xp))
| spl6_207
| ~ spl6_1037 ),
inference(superposition,[],[f3306,f52929]) ).
fof(f3306,plain,
( ~ sP0(sdtasdt0(xn,xm))
| spl6_207 ),
inference(avatar_component_clause,[],[f3304]) ).
fof(f53040,plain,
( spl6_1039
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_712
| ~ spl6_982
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52814,f52573,f43250,f24751,f23126,f21158,f285,f53037]) ).
fof(f53037,plain,
( spl6_1039
<=> iLess0(sdtsldt0(xp,xp),sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1039])]) ).
fof(f24751,plain,
( spl6_712
<=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_712])]) ).
fof(f52814,plain,
( iLess0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_712
| ~ spl6_982
| ~ spl6_1028 ),
inference(forward_demodulation,[],[f52752,f51534]) ).
fof(f52752,plain,
( iLess0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))
| ~ spl6_712
| ~ spl6_1028 ),
inference(superposition,[],[f24753,f52575]) ).
fof(f24753,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ~ spl6_712 ),
inference(avatar_component_clause,[],[f24751]) ).
fof(f53026,plain,
( ~ spl6_1038
| ~ spl6_1028
| spl6_1030 ),
inference(avatar_split_clause,[],[f52772,f52582,f52573,f53013]) ).
fof(f53013,plain,
( spl6_1038
<=> sdtlseqdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1038])]) ).
fof(f52582,plain,
( spl6_1030
<=> sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1030])]) ).
fof(f52772,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_1028
| spl6_1030 ),
inference(superposition,[],[f52584,f52575]) ).
fof(f52584,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xm,xp))
| spl6_1030 ),
inference(avatar_component_clause,[],[f52582]) ).
fof(f53017,plain,
( ~ spl6_1038
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| spl6_707
| ~ spl6_982
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52813,f52573,f43250,f24405,f23126,f21158,f285,f53013]) ).
fof(f24405,plain,
( spl6_707
<=> sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_707])]) ).
fof(f52813,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| spl6_707
| ~ spl6_982
| ~ spl6_1028 ),
inference(forward_demodulation,[],[f52750,f51534]) ).
fof(f52750,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xn,xm))
| spl6_707
| ~ spl6_1028 ),
inference(superposition,[],[f24407,f52575]) ).
fof(f24407,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
| spl6_707 ),
inference(avatar_component_clause,[],[f24405]) ).
fof(f53016,plain,
( spl6_1038
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_706
| ~ spl6_982
| ~ spl6_1028 ),
inference(avatar_split_clause,[],[f52812,f52573,f43250,f24360,f23126,f21158,f285,f53013]) ).
fof(f24360,plain,
( spl6_706
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_706])]) ).
fof(f52812,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_706
| ~ spl6_982
| ~ spl6_1028 ),
inference(forward_demodulation,[],[f52749,f51534]) ).
fof(f52749,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))
| ~ spl6_706
| ~ spl6_1028 ),
inference(superposition,[],[f24362,f52575]) ).
fof(f24362,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ~ spl6_706 ),
inference(avatar_component_clause,[],[f24360]) ).
fof(f52931,plain,
( spl6_248
| ~ spl6_7
| ~ spl6_114
| ~ spl6_115
| ~ spl6_666 ),
inference(avatar_split_clause,[],[f40725,f21901,f1155,f1150,f285,f3896]) ).
fof(f3896,plain,
( spl6_248
<=> xp = sdtpldt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f1150,plain,
( spl6_114
<=> xm = sdtpldt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f21901,plain,
( spl6_666
<=> ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xm),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_666])]) ).
fof(f40725,plain,
( xp = sdtpldt0(xm,xp)
| ~ spl6_7
| ~ spl6_114
| ~ spl6_115
| ~ spl6_666 ),
inference(forward_demodulation,[],[f40724,f1157]) ).
fof(f40724,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(xm,xp)
| ~ spl6_7
| ~ spl6_114
| ~ spl6_666 ),
inference(forward_demodulation,[],[f40698,f1152]) ).
fof(f1152,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_114 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f40698,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sdtpldt0(sz00,xm),xp)
| ~ spl6_7
| ~ spl6_666 ),
inference(resolution,[],[f21902,f287]) ).
fof(f21902,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xm),xp) )
| ~ spl6_666 ),
inference(avatar_component_clause,[],[f21901]) ).
fof(f52930,plain,
( spl6_1037
| ~ spl6_7
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51534,f43250,f23126,f21158,f285,f52927]) ).
fof(f52924,plain,
( ~ spl6_709
| ~ spl6_802
| spl6_1036
| ~ spl6_71
| ~ spl6_1016 ),
inference(avatar_split_clause,[],[f51728,f51716,f748,f52921,f37199,f24736]) ).
fof(f52921,plain,
( spl6_1036
<=> sdtsldt0(xp,xp) = sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtsldt0(xp,xp),sdtasdt0(xm,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1036])]) ).
fof(f51716,plain,
( spl6_1016
<=> sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1016])]) ).
fof(f51728,plain,
( sdtsldt0(xp,xp) = sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtsldt0(xp,xp),sdtasdt0(xm,xp)))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ spl6_71
| ~ spl6_1016 ),
inference(resolution,[],[f51718,f749]) ).
fof(f51718,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| ~ spl6_1016 ),
inference(avatar_component_clause,[],[f51716]) ).
fof(f52918,plain,
( ~ spl6_709
| ~ spl6_802
| spl6_1035
| ~ spl6_70
| ~ spl6_1016 ),
inference(avatar_split_clause,[],[f51727,f51716,f744,f52915,f37199,f24736]) ).
fof(f52915,plain,
( spl6_1035
<=> sdtsldt0(xp,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtsldt0(xp,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1035])]) ).
fof(f51727,plain,
( sdtsldt0(xp,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtsldt0(xp,xp)))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ spl6_70
| ~ spl6_1016 ),
inference(resolution,[],[f51718,f745]) ).
fof(f52871,plain,
( ~ spl6_717
| ~ spl6_716
| spl6_1034
| ~ spl6_71
| ~ spl6_784 ),
inference(avatar_split_clause,[],[f51603,f34587,f748,f52868,f25308,f25459]) ).
fof(f52868,plain,
( spl6_1034
<=> sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xm,xm),sdtmndt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1034])]) ).
fof(f34587,plain,
( spl6_784
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_784])]) ).
fof(f51603,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xm,xm),sdtmndt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm)))
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_71
| ~ spl6_784 ),
inference(resolution,[],[f34588,f749]) ).
fof(f34588,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xk,xm))
| ~ spl6_784 ),
inference(avatar_component_clause,[],[f34587]) ).
fof(f52824,plain,
( ~ spl6_717
| ~ spl6_716
| spl6_1033
| ~ spl6_70
| ~ spl6_784 ),
inference(avatar_split_clause,[],[f51602,f34587,f744,f52821,f25308,f25459]) ).
fof(f52821,plain,
( spl6_1033
<=> sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xm,xm),sK5(sdtasdt0(xm,xm),sdtasdt0(xk,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1033])]) ).
fof(f51602,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xm,xm),sK5(sdtasdt0(xm,xm),sdtasdt0(xk,xm)))
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_70
| ~ spl6_784 ),
inference(resolution,[],[f34588,f745]) ).
fof(f52747,plain,
( spl6_1028
| ~ spl6_1016
| ~ spl6_802
| ~ spl6_709
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51986,f43250,f23126,f21158,f2170,f678,f406,f285,f280,f24736,f37199,f51716,f52573]) ).
fof(f406,plain,
( spl6_31
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f51986,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51649,f2500]) ).
fof(f51649,plain,
( ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51648,f51534]) ).
fof(f51648,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51647,f2500]) ).
fof(f51647,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xp,xp))
| sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51646,f51534]) ).
fof(f51646,plain,
( sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51645,f51534]) ).
fof(f51645,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_6
| ~ spl6_31
| ~ spl6_66
| ~ spl6_146 ),
inference(forward_demodulation,[],[f1949,f2500]) ).
fof(f1949,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl6_31
| ~ spl6_66 ),
inference(resolution,[],[f407,f679]) ).
fof(f407,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f52744,plain,
( spl6_275
| ~ spl6_7
| ~ spl6_114
| ~ spl6_136
| ~ spl6_665 ),
inference(avatar_split_clause,[],[f40669,f21897,f1961,f1150,f285,f4379]) ).
fof(f4379,plain,
( spl6_275
<=> sz10 = sdtpldt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f1961,plain,
( spl6_136
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f21897,plain,
( spl6_665
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_665])]) ).
fof(f40669,plain,
( sz10 = sdtpldt0(xm,sz10)
| ~ spl6_7
| ~ spl6_114
| ~ spl6_136
| ~ spl6_665 ),
inference(forward_demodulation,[],[f40668,f1963]) ).
fof(f1963,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f40668,plain,
( sdtpldt0(sz00,sz10) = sdtpldt0(xm,sz10)
| ~ spl6_7
| ~ spl6_114
| ~ spl6_665 ),
inference(forward_demodulation,[],[f40642,f1152]) ).
fof(f40642,plain,
( sdtpldt0(sz00,sz10) = sdtpldt0(sdtpldt0(sz00,xm),sz10)
| ~ spl6_7
| ~ spl6_665 ),
inference(resolution,[],[f21898,f287]) ).
fof(f21898,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,xm),sz10) )
| ~ spl6_665 ),
inference(avatar_component_clause,[],[f21897]) ).
fof(f52674,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_125
| spl6_1032
| ~ spl6_93
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51795,f51721,f1021,f52672,f1245,f280,f275]) ).
fof(f52672,plain,
( spl6_1032
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1032])]) ).
fof(f1021,plain,
( spl6_93
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f51795,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl6_93
| ~ spl6_1017 ),
inference(superposition,[],[f1022,f51723]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f52597,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_125
| spl6_1031
| ~ spl6_93
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51794,f51721,f1021,f52595,f1245,f280,f275]) ).
fof(f52595,plain,
( spl6_1031
<=> ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1031])]) ).
fof(f51794,plain,
( ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) )
| ~ spl6_93
| ~ spl6_1017 ),
inference(superposition,[],[f1022,f51723]) ).
fof(f52585,plain,
( ~ spl6_802
| ~ spl6_709
| ~ spl6_1030
| spl6_1028
| ~ spl6_66
| ~ spl6_1016 ),
inference(avatar_split_clause,[],[f51726,f51716,f678,f52573,f52582,f24736,f37199]) ).
fof(f51726,plain,
( sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ spl6_66
| ~ spl6_1016 ),
inference(resolution,[],[f51718,f679]) ).
fof(f52580,plain,
( ~ spl6_709
| ~ spl6_802
| spl6_1028
| spl6_1029
| ~ spl6_64
| ~ spl6_1016 ),
inference(avatar_split_clause,[],[f51725,f51716,f668,f52577,f52573,f37199,f24736]) ).
fof(f51725,plain,
( iLess0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| sdtasdt0(xm,xp) = sdtsldt0(xp,xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ spl6_64
| ~ spl6_1016 ),
inference(resolution,[],[f51718,f669]) ).
fof(f52477,plain,
( spl6_211
| ~ spl6_5
| ~ spl6_7
| ~ spl6_113
| ~ spl6_114
| ~ spl6_140
| ~ spl6_660 ),
inference(avatar_split_clause,[],[f40608,f21864,f2145,f1150,f1145,f285,f275,f3324]) ).
fof(f3324,plain,
( spl6_211
<=> xn = sdtpldt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f1145,plain,
( spl6_113
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f2145,plain,
( spl6_140
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f21864,plain,
( spl6_660
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_660])]) ).
fof(f40608,plain,
( xn = sdtpldt0(xn,xm)
| ~ spl6_5
| ~ spl6_7
| ~ spl6_113
| ~ spl6_114
| ~ spl6_140
| ~ spl6_660 ),
inference(forward_demodulation,[],[f40607,f1147]) ).
fof(f1147,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f40607,plain,
( sdtpldt0(xn,xm) = sdtpldt0(sz00,xn)
| ~ spl6_5
| ~ spl6_7
| ~ spl6_114
| ~ spl6_140
| ~ spl6_660 ),
inference(forward_demodulation,[],[f40606,f2189]) ).
fof(f2189,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
| ~ spl6_5
| ~ spl6_140 ),
inference(resolution,[],[f2146,f277]) ).
fof(f277,plain,
( aNaturalNumber0(xm)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f2146,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f2145]) ).
fof(f40606,plain,
( sdtpldt0(sz00,xn) = sdtpldt0(xm,xn)
| ~ spl6_7
| ~ spl6_114
| ~ spl6_660 ),
inference(forward_demodulation,[],[f40580,f1152]) ).
fof(f40580,plain,
( sdtpldt0(sz00,xn) = sdtpldt0(sdtpldt0(sz00,xm),xn)
| ~ spl6_7
| ~ spl6_660 ),
inference(resolution,[],[f21865,f287]) ).
fof(f21865,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),xn) )
| ~ spl6_660 ),
inference(avatar_component_clause,[],[f21864]) ).
fof(f52476,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_280
| spl6_1027
| ~ spl6_7
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51707,f43250,f23126,f21158,f5713,f1017,f410,f285,f52474,f4415,f275,f280]) ).
fof(f51707,plain,
( ! [X0] :
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) )
| ~ spl6_7
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51706,f51534]) ).
fof(f51706,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5486,f5714]) ).
fof(f5486,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_92 ),
inference(superposition,[],[f1018,f412]) ).
fof(f52421,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_280
| spl6_1026
| ~ spl6_7
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51705,f43250,f23126,f21158,f5713,f1017,f410,f285,f52419,f4415,f275,f280]) ).
fof(f52419,plain,
( spl6_1026
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1026])]) ).
fof(f51705,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_7
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51704,f51534]) ).
fof(f51704,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_92
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5487,f5714]) ).
fof(f5487,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_92 ),
inference(superposition,[],[f1018,f412]) ).
fof(f52364,plain,
( ~ spl6_709
| ~ spl6_802
| spl6_1025
| ~ spl6_75
| ~ spl6_1016 ),
inference(avatar_split_clause,[],[f51729,f51716,f814,f52362,f37199,f24736]) ).
fof(f52362,plain,
( spl6_1025
<=> ! [X0] :
( sdtlseqdt0(X0,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1025])]) ).
fof(f51729,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_1016 ),
inference(resolution,[],[f51718,f815]) ).
fof(f52310,plain,
( ~ spl6_6
| ~ spl6_802
| ~ spl6_5
| spl6_1024
| ~ spl6_67
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51786,f51721,f682,f52307,f275,f37199,f280]) ).
fof(f51786,plain,
( doDivides0(xp,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_67
| ~ spl6_1017 ),
inference(superposition,[],[f683,f51723]) ).
fof(f52263,plain,
( ~ spl6_802
| ~ spl6_7
| spl6_799
| ~ spl6_45
| spl6_798 ),
inference(avatar_split_clause,[],[f37289,f37138,f516,f37181,f285,f37199]) ).
fof(f37289,plain,
( sdtlseqdt0(sz00,sdtsldt0(xp,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ spl6_45
| spl6_798 ),
inference(resolution,[],[f37139,f517]) ).
fof(f51975,plain,
( spl6_802
| ~ spl6_98
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51764,f51721,f1066,f37199]) ).
fof(f51764,plain,
( aNaturalNumber0(sdtsldt0(xp,xp))
| ~ spl6_98
| ~ spl6_1017 ),
inference(superposition,[],[f1067,f51723]) ).
fof(f51961,plain,
( ~ spl6_716
| ~ spl6_717
| ~ spl6_718
| spl6_1022
| ~ spl6_66
| ~ spl6_784 ),
inference(avatar_split_clause,[],[f51601,f34587,f678,f51953,f25463,f25459,f25308]) ).
fof(f25463,plain,
( spl6_718
<=> sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_718])]) ).
fof(f51953,plain,
( spl6_1022
<=> sdtasdt0(xm,xm) = sdtasdt0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1022])]) ).
fof(f51601,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xk,xm)
| ~ sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ spl6_66
| ~ spl6_784 ),
inference(resolution,[],[f34588,f679]) ).
fof(f51960,plain,
( ~ spl6_717
| ~ spl6_716
| spl6_1022
| spl6_1023
| ~ spl6_64
| ~ spl6_784 ),
inference(avatar_split_clause,[],[f51600,f34587,f668,f51957,f51953,f25308,f25459]) ).
fof(f51957,plain,
( spl6_1023
<=> iLess0(sdtasdt0(xm,xm),sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1023])]) ).
fof(f51600,plain,
( iLess0(sdtasdt0(xm,xm),sdtasdt0(xk,xm))
| sdtasdt0(xm,xm) = sdtasdt0(xk,xm)
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_64
| ~ spl6_784 ),
inference(resolution,[],[f34588,f669]) ).
fof(f51901,plain,
( ~ spl6_717
| ~ spl6_716
| spl6_1021
| ~ spl6_75
| ~ spl6_784 ),
inference(avatar_split_clause,[],[f51604,f34587,f814,f51899,f25308,f25459]) ).
fof(f51899,plain,
( spl6_1021
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1021])]) ).
fof(f51604,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xk,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_784 ),
inference(resolution,[],[f34588,f815]) ).
fof(f51883,plain,
( ~ spl6_5
| spl6_125
| ~ spl6_6
| spl6_1020
| ~ spl6_7
| ~ spl6_32
| ~ spl6_86
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51710,f43250,f23126,f21158,f5713,f939,f410,f285,f51881,f280,f1245,f275]) ).
fof(f51881,plain,
( spl6_1020
<=> ! [X0] :
( sdtasdt0(X0,xm) != sdtsldt0(xp,xp)
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1020])]) ).
fof(f939,plain,
( spl6_86
<=> ! [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,[spl6_86])]) ).
fof(f51710,plain,
( ! [X0] :
( sdtasdt0(X0,xm) != sdtsldt0(xp,xp)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl6_7
| ~ spl6_32
| ~ spl6_86
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51709,f51534]) ).
fof(f51709,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl6_32
| ~ spl6_86
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5485,f5714]) ).
fof(f5485,plain,
( ! [X0] :
( sdtasdt0(xp,xk) != sdtasdt0(X0,xm)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl6_32
| ~ spl6_86 ),
inference(superposition,[],[f940,f412]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f51872,plain,
( ~ spl6_6
| spl6_280
| ~ spl6_5
| spl6_1019
| ~ spl6_7
| ~ spl6_32
| ~ spl6_85
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51657,f43250,f23126,f21158,f5713,f935,f410,f285,f51870,f275,f4415,f280]) ).
fof(f51870,plain,
( spl6_1019
<=> ! [X0] :
( sdtasdt0(xp,X0) != sdtsldt0(xp,xp)
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1019])]) ).
fof(f935,plain,
( spl6_85
<=> ! [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,[spl6_85])]) ).
fof(f51657,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtsldt0(xp,xp)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_7
| ~ spl6_32
| ~ spl6_85
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51656,f51534]) ).
fof(f51656,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_85
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5483,f5714]) ).
fof(f5483,plain,
( ! [X0] :
( sdtasdt0(xp,xk) != sdtasdt0(xp,X0)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_32
| ~ spl6_85 ),
inference(superposition,[],[f936,f412]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f51830,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_125
| spl6_1018
| ~ spl6_60
| ~ spl6_1017 ),
inference(avatar_split_clause,[],[f51785,f51721,f650,f51827,f1245,f280,f275]) ).
fof(f51827,plain,
( spl6_1018
<=> sdtlseqdt0(xp,sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1018])]) ).
fof(f650,plain,
( spl6_60
<=> ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f51785,plain,
( sdtlseqdt0(xp,sdtsldt0(xp,xp))
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_60
| ~ spl6_1017 ),
inference(superposition,[],[f651,f51723]) ).
fof(f651,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_60 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f51724,plain,
( spl6_1017
| ~ spl6_7
| ~ spl6_32
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51714,f43250,f23126,f21158,f5713,f410,f285,f51721]) ).
fof(f51714,plain,
( sdtasdt0(xp,xm) = sdtsldt0(xp,xp)
| ~ spl6_7
| ~ spl6_32
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51713,f51534]) ).
fof(f51719,plain,
( spl6_1016
| ~ spl6_6
| ~ spl6_7
| ~ spl6_33
| ~ spl6_106
| ~ spl6_146
| ~ spl6_147
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f51652,f43250,f23126,f21158,f5713,f2174,f2170,f1110,f414,f285,f280,f51716]) ).
fof(f51652,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sdtsldt0(xp,xp))
| ~ spl6_6
| ~ spl6_7
| ~ spl6_33
| ~ spl6_106
| ~ spl6_146
| ~ spl6_147
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51651,f2500]) ).
fof(f51651,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xp,xp))
| ~ spl6_7
| ~ spl6_33
| ~ spl6_106
| ~ spl6_147
| ~ spl6_291
| ~ spl6_614
| ~ spl6_693
| ~ spl6_982 ),
inference(forward_demodulation,[],[f51650,f51534]) ).
fof(f51644,plain,
( ~ spl6_6
| ~ spl6_5
| ~ spl6_106
| spl6_280
| spl6_132
| ~ spl6_775
| spl6_33
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f12882,f1017,f414,f33670,f1929,f4415,f1110,f275,f280]) ).
fof(f1929,plain,
( spl6_132
<=> xm = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f12882,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| spl6_33
| ~ spl6_92 ),
inference(resolution,[],[f416,f1018]) ).
fof(f416,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| spl6_33 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f51593,plain,
( spl6_784
| ~ spl6_106
| ~ spl6_146
| ~ spl6_415 ),
inference(avatar_split_clause,[],[f34497,f11653,f2170,f1110,f34587]) ).
fof(f11653,plain,
( spl6_415
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
fof(f34497,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_415 ),
inference(forward_demodulation,[],[f11654,f4484]) ).
fof(f11654,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xk))
| ~ spl6_415 ),
inference(avatar_component_clause,[],[f11653]) ).
fof(f51467,plain,
( ~ spl6_13
| spl6_12
| ~ spl6_132 ),
inference(avatar_split_clause,[],[f29523,f1929,f310,f315]) ).
fof(f315,plain,
( spl6_13
<=> sdtlseqdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f310,plain,
( spl6_12
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f29523,plain,
( ~ sdtlseqdt0(xp,xk)
| spl6_12
| ~ spl6_132 ),
inference(superposition,[],[f312,f1930]) ).
fof(f1930,plain,
( xm = xk
| ~ spl6_132 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f312,plain,
( ~ sdtlseqdt0(xp,xm)
| spl6_12 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f50864,plain,
( spl6_1015
| ~ spl6_106
| ~ spl6_132
| ~ spl6_147
| ~ spl6_291
| ~ spl6_744 ),
inference(avatar_split_clause,[],[f30847,f30841,f5713,f2174,f1929,f1110,f50861]) ).
fof(f50861,plain,
( spl6_1015
<=> sdtlseqdt0(xk,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1015])]) ).
fof(f30847,plain,
( sdtlseqdt0(xk,sdtasdt0(xn,xk))
| ~ spl6_106
| ~ spl6_132
| ~ spl6_147
| ~ spl6_291
| ~ spl6_744 ),
inference(forward_demodulation,[],[f30846,f1930]) ).
fof(f30846,plain,
( sdtlseqdt0(xk,sdtasdt0(xn,xm))
| ~ spl6_106
| ~ spl6_132
| ~ spl6_147
| ~ spl6_291
| ~ spl6_744 ),
inference(forward_demodulation,[],[f30845,f23349]) ).
fof(f30845,plain,
( sdtlseqdt0(xk,sdtasdt0(xk,xp))
| ~ spl6_132
| ~ spl6_744 ),
inference(forward_demodulation,[],[f30843,f1930]) ).
fof(f50859,plain,
( spl6_1014
| ~ spl6_132
| ~ spl6_738 ),
inference(avatar_split_clause,[],[f29784,f29780,f1929,f50856]) ).
fof(f50856,plain,
( spl6_1014
<=> sdtlseqdt0(sdtasdt0(xn,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1014])]) ).
fof(f29784,plain,
( sdtlseqdt0(sdtasdt0(xn,xk),xr)
| ~ spl6_132
| ~ spl6_738 ),
inference(forward_demodulation,[],[f29782,f1930]) ).
fof(f49823,plain,
( spl6_1013
| ~ spl6_8
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293
| ~ spl6_616
| ~ spl6_692
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f49577,f43250,f23120,f21170,f5743,f5713,f1929,f290,f49820]) ).
fof(f49820,plain,
( spl6_1013
<=> sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1013])]) ).
fof(f5743,plain,
( spl6_293
<=> sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f21170,plain,
( spl6_616
<=> sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_616])]) ).
fof(f23120,plain,
( spl6_692
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_692])]) ).
fof(f49577,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sdtasdt0(xn,xk))
| ~ spl6_8
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293
| ~ spl6_616
| ~ spl6_692
| ~ spl6_982 ),
inference(forward_demodulation,[],[f49576,f49306]) ).
fof(f49306,plain,
( sdtasdt0(xn,xm) = sdtsldt0(xp,xp)
| ~ spl6_8
| ~ spl6_616
| ~ spl6_692
| ~ spl6_982 ),
inference(forward_demodulation,[],[f43252,f40826]) ).
fof(f40826,plain,
( xp = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_8
| ~ spl6_616
| ~ spl6_692 ),
inference(forward_demodulation,[],[f40799,f21172]) ).
fof(f21172,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10)
| ~ spl6_616 ),
inference(avatar_component_clause,[],[f21170]) ).
fof(f40799,plain,
( xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xn,xm),sz10))
| ~ spl6_8
| ~ spl6_692 ),
inference(resolution,[],[f23121,f292]) ).
fof(f23121,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_692 ),
inference(avatar_component_clause,[],[f23120]) ).
fof(f49576,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xk))
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293 ),
inference(forward_demodulation,[],[f30831,f5714]) ).
fof(f30831,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xk))
| ~ spl6_132
| ~ spl6_293 ),
inference(forward_demodulation,[],[f5744,f1930]) ).
fof(f5744,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))
| ~ spl6_293 ),
inference(avatar_component_clause,[],[f5743]) ).
fof(f49818,plain,
( spl6_1012
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293 ),
inference(avatar_split_clause,[],[f30833,f5743,f5713,f1929,f49815]) ).
fof(f49815,plain,
( spl6_1012
<=> sdtlseqdt0(sdtasdt0(xn,xk),sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1012])]) ).
fof(f30833,plain,
( sdtlseqdt0(sdtasdt0(xn,xk),sdtasdt0(xn,xk))
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293 ),
inference(forward_demodulation,[],[f30832,f1930]) ).
fof(f30832,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xk))
| ~ spl6_132
| ~ spl6_291
| ~ spl6_293 ),
inference(forward_demodulation,[],[f30831,f5714]) ).
fof(f49767,plain,
( spl6_1011
| ~ spl6_132
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f29826,f23868,f1929,f49764]) ).
fof(f49764,plain,
( spl6_1011
<=> sdtlseqdt0(sz00,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1011])]) ).
fof(f29826,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xk))
| ~ spl6_132
| ~ spl6_702 ),
inference(forward_demodulation,[],[f23869,f1930]) ).
fof(f48848,plain,
( ~ spl6_792
| spl6_12
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41388,f26879,f310,f35543]) ).
fof(f35543,plain,
( spl6_792
<=> sdtlseqdt0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_792])]) ).
fof(f41388,plain,
( ~ sdtlseqdt0(xk,xm)
| spl6_12
| ~ spl6_726 ),
inference(superposition,[],[f312,f26881]) ).
fof(f26881,plain,
( xp = xk
| ~ spl6_726 ),
inference(avatar_component_clause,[],[f26879]) ).
fof(f48847,plain,
( ~ spl6_1010
| spl6_11
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41387,f26879,f305,f48844]) ).
fof(f48844,plain,
( spl6_1010
<=> sdtlseqdt0(xk,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1010])]) ).
fof(f305,plain,
( spl6_11
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f41387,plain,
( ~ sdtlseqdt0(xk,xn)
| spl6_11
| ~ spl6_726 ),
inference(superposition,[],[f307,f26881]) ).
fof(f307,plain,
( ~ sdtlseqdt0(xp,xn)
| spl6_11 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f48775,plain,
( spl6_1009
| ~ spl6_720
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41475,f26879,f26649,f48773]) ).
fof(f48773,plain,
( spl6_1009
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xk,X0)
| ~ aNaturalNumber0(X0)
| xk = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1009])]) ).
fof(f41475,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xk,X0)
| ~ aNaturalNumber0(X0)
| xk = X0 )
| ~ spl6_720
| ~ spl6_726 ),
inference(superposition,[],[f26650,f26881]) ).
fof(f48716,plain,
( spl6_1008
| ~ spl6_106
| ~ spl6_146
| ~ spl6_726
| ~ spl6_1007 ),
inference(avatar_split_clause,[],[f48711,f48706,f26879,f2170,f1110,f48713]) ).
fof(f48713,plain,
( spl6_1008
<=> sdtlseqdt0(xn,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1008])]) ).
fof(f48711,plain,
( sdtlseqdt0(xn,sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_726
| ~ spl6_1007 ),
inference(forward_demodulation,[],[f48710,f4484]) ).
fof(f48710,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xk))
| ~ spl6_726
| ~ spl6_1007 ),
inference(forward_demodulation,[],[f48708,f26881]) ).
fof(f48709,plain,
( ~ spl6_5
| spl6_125
| ~ spl6_4
| spl6_1007
| ~ spl6_6
| ~ spl6_60
| ~ spl6_135
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f24553,f2170,f1956,f650,f280,f48706,f270,f1245,f275]) ).
fof(f1956,plain,
( spl6_135
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f24553,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xn)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| ~ spl6_60
| ~ spl6_135
| ~ spl6_146 ),
inference(forward_demodulation,[],[f24548,f2500]) ).
fof(f24548,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl6_60
| ~ spl6_135 ),
inference(duplicate_literal_removal,[],[f24514]) ).
fof(f24514,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sz00 = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_60
| ~ spl6_135 ),
inference(resolution,[],[f1957,f651]) ).
fof(f1957,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtasdt0(xp,xm)) )
| ~ spl6_135 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f48704,plain,
( ~ spl6_1006
| ~ spl6_726
| spl6_1005 ),
inference(avatar_split_clause,[],[f48699,f48695,f26879,f48701]) ).
fof(f48701,plain,
( spl6_1006
<=> xm = sdtasdt0(xm,sK3(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1006])]) ).
fof(f48695,plain,
( spl6_1005
<=> xm = sdtasdt0(xm,sK3(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1005])]) ).
fof(f48699,plain,
( xm != sdtasdt0(xm,sK3(xk))
| ~ spl6_726
| spl6_1005 ),
inference(forward_demodulation,[],[f48696,f26881]) ).
fof(f48696,plain,
( xm != sdtasdt0(xm,sK3(xp))
| spl6_1005 ),
inference(avatar_component_clause,[],[f48695]) ).
fof(f48698,plain,
( spl6_1005
| spl6_209
| spl6_17
| ~ spl6_6
| ~ spl6_220 ),
inference(avatar_split_clause,[],[f3410,f3397,f280,f335,f3312,f48695]) ).
fof(f3397,plain,
( spl6_220
<=> ! [X0] :
( xm = sdtasdt0(xm,sK3(X0))
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f3410,plain,
( xm = xp
| sz10 = xp
| xm = sdtasdt0(xm,sK3(xp))
| ~ spl6_6
| ~ spl6_220 ),
inference(resolution,[],[f3398,f282]) ).
fof(f3398,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = X0
| sz10 = X0
| xm = sdtasdt0(xm,sK3(X0)) )
| ~ spl6_220 ),
inference(avatar_component_clause,[],[f3397]) ).
fof(f48628,plain,
( spl6_1004
| spl6_998
| spl6_999
| ~ spl6_4
| ~ spl6_220 ),
inference(avatar_split_clause,[],[f3408,f3397,f270,f48315,f48311,f48625]) ).
fof(f48625,plain,
( spl6_1004
<=> xm = sdtasdt0(xm,sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1004])]) ).
fof(f3408,plain,
( xn = xm
| sz10 = xn
| xm = sdtasdt0(xm,sK3(xn))
| ~ spl6_4
| ~ spl6_220 ),
inference(resolution,[],[f3398,f272]) ).
fof(f48502,plain,
( spl6_1003
| spl6_22
| spl6_125
| ~ spl6_7
| ~ spl6_220 ),
inference(avatar_split_clause,[],[f3400,f3397,f285,f1245,f360,f48499]) ).
fof(f48499,plain,
( spl6_1003
<=> xm = sdtasdt0(xm,sK3(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1003])]) ).
fof(f3400,plain,
( sz00 = xm
| sz00 = sz10
| xm = sdtasdt0(xm,sK3(sz00))
| ~ spl6_7
| ~ spl6_220 ),
inference(resolution,[],[f3398,f287]) ).
fof(f48416,plain,
( spl6_1002
| ~ spl6_726
| ~ spl6_1001 ),
inference(avatar_split_clause,[],[f48411,f48407,f26879,f48413]) ).
fof(f48413,plain,
( spl6_1002
<=> xm = sdtasdt0(sK3(xk),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1002])]) ).
fof(f48407,plain,
( spl6_1001
<=> xm = sdtasdt0(sK3(xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1001])]) ).
fof(f48411,plain,
( xm = sdtasdt0(sK3(xk),xm)
| ~ spl6_726
| ~ spl6_1001 ),
inference(forward_demodulation,[],[f48409,f26881]) ).
fof(f48409,plain,
( xm = sdtasdt0(sK3(xp),xm)
| ~ spl6_1001 ),
inference(avatar_component_clause,[],[f48407]) ).
fof(f48410,plain,
( spl6_1001
| spl6_209
| spl6_17
| ~ spl6_6
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f3376,f3363,f280,f335,f3312,f48407]) ).
fof(f3363,plain,
( spl6_217
<=> ! [X0] :
( xm = sdtasdt0(sK3(X0),xm)
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f3376,plain,
( xm = xp
| sz10 = xp
| xm = sdtasdt0(sK3(xp),xm)
| ~ spl6_6
| ~ spl6_217 ),
inference(resolution,[],[f3364,f282]) ).
fof(f3364,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = X0
| sz10 = X0
| xm = sdtasdt0(sK3(X0),xm) )
| ~ spl6_217 ),
inference(avatar_component_clause,[],[f3363]) ).
fof(f48324,plain,
( ~ spl6_1000
| ~ spl6_160
| spl6_998 ),
inference(avatar_split_clause,[],[f48319,f48311,f2694,f48321]) ).
fof(f48321,plain,
( spl6_1000
<=> xn = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1000])]) ).
fof(f48319,plain,
( xn != xr
| ~ spl6_160
| spl6_998 ),
inference(forward_demodulation,[],[f48312,f2696]) ).
fof(f48312,plain,
( sz10 != xn
| spl6_998 ),
inference(avatar_component_clause,[],[f48311]) ).
fof(f48318,plain,
( spl6_997
| spl6_998
| spl6_999
| ~ spl6_4
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f3374,f3363,f270,f48315,f48311,f48307]) ).
fof(f48307,plain,
( spl6_997
<=> xm = sdtasdt0(sK3(xn),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_997])]) ).
fof(f3374,plain,
( xn = xm
| sz10 = xn
| xm = sdtasdt0(sK3(xn),xm)
| ~ spl6_4
| ~ spl6_217 ),
inference(resolution,[],[f3364,f272]) ).
fof(f48072,plain,
( spl6_996
| spl6_22
| spl6_125
| ~ spl6_7
| ~ spl6_217 ),
inference(avatar_split_clause,[],[f3366,f3363,f285,f1245,f360,f48069]) ).
fof(f48069,plain,
( spl6_996
<=> xm = sdtasdt0(sK3(sz00),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_996])]) ).
fof(f3366,plain,
( sz00 = xm
| sz00 = sz10
| xm = sdtasdt0(sK3(sz00),xm)
| ~ spl6_7
| ~ spl6_217 ),
inference(resolution,[],[f3364,f287]) ).
fof(f48002,plain,
( spl6_22
| spl6_995
| spl6_125
| spl6_10
| ~ spl6_215 ),
inference(avatar_split_clause,[],[f3352,f3349,f300,f1245,f47999,f360]) ).
fof(f47999,plain,
( spl6_995
<=> xm = sdtasdt0(xm,sK2(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_995])]) ).
fof(f3349,plain,
( spl6_215
<=> ! [X0] :
( xm = sdtasdt0(xm,sK2(X0))
| xm = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f3352,plain,
( sz00 = xm
| xm = sdtasdt0(xm,sK2(sz00))
| sz00 = sz10
| spl6_10
| ~ spl6_215 ),
inference(resolution,[],[f3350,f302]) ).
fof(f3350,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| xm = sdtasdt0(xm,sK2(X0))
| sz10 = X0 )
| ~ spl6_215 ),
inference(avatar_component_clause,[],[f3349]) ).
fof(f47916,plain,
( spl6_22
| spl6_994
| spl6_125
| spl6_10
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f3338,f3335,f300,f1245,f47913,f360]) ).
fof(f47913,plain,
( spl6_994
<=> xm = sdtasdt0(sK2(sz00),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_994])]) ).
fof(f3335,plain,
( spl6_213
<=> ! [X0] :
( xm = sdtasdt0(sK2(X0),xm)
| xm = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f3338,plain,
( sz00 = xm
| xm = sdtasdt0(sK2(sz00),xm)
| sz00 = sz10
| spl6_10
| ~ spl6_213 ),
inference(resolution,[],[f3336,f302]) ).
fof(f3336,plain,
( ! [X0] :
( sP0(X0)
| xm = X0
| xm = sdtasdt0(sK2(X0),xm)
| sz10 = X0 )
| ~ spl6_213 ),
inference(avatar_component_clause,[],[f3335]) ).
fof(f47612,plain,
( spl6_993
| ~ spl6_726
| ~ spl6_982 ),
inference(avatar_split_clause,[],[f43254,f43250,f26879,f47609]) ).
fof(f47609,plain,
( spl6_993
<=> sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xm)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_993])]) ).
fof(f43254,plain,
( sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xm)),xk)
| ~ spl6_726
| ~ spl6_982 ),
inference(forward_demodulation,[],[f43252,f26881]) ).
fof(f47397,plain,
( spl6_992
| ~ spl6_726
| ~ spl6_970 ),
inference(avatar_split_clause,[],[f42827,f42823,f26879,f47394]) ).
fof(f47394,plain,
( spl6_992
<=> sdtasdt0(sdtasdt0(xn,xk),xk) = sdtasdt0(xk,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_992])]) ).
fof(f42823,plain,
( spl6_970
<=> sdtasdt0(xp,sdtasdt0(xn,xk)) = sdtasdt0(sdtasdt0(xn,xk),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_970])]) ).
fof(f42827,plain,
( sdtasdt0(sdtasdt0(xn,xk),xk) = sdtasdt0(xk,sdtasdt0(xn,xk))
| ~ spl6_726
| ~ spl6_970 ),
inference(forward_demodulation,[],[f42825,f26881]) ).
fof(f42825,plain,
( sdtasdt0(xp,sdtasdt0(xn,xk)) = sdtasdt0(sdtasdt0(xn,xk),xp)
| ~ spl6_970 ),
inference(avatar_component_clause,[],[f42823]) ).
fof(f47241,plain,
( ~ spl6_991
| ~ spl6_160
| spl6_679 ),
inference(avatar_split_clause,[],[f33627,f22806,f2694,f47238]) ).
fof(f47238,plain,
( spl6_991
<=> xr = sdtpldt0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_991])]) ).
fof(f22806,plain,
( spl6_679
<=> sz10 = sdtpldt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_679])]) ).
fof(f33627,plain,
( xr != sdtpldt0(xr,xr)
| ~ spl6_160
| spl6_679 ),
inference(superposition,[],[f22807,f2696]) ).
fof(f22807,plain,
( sz10 != sdtpldt0(sz10,xr)
| spl6_679 ),
inference(avatar_component_clause,[],[f22806]) ).
fof(f47236,plain,
( spl6_990
| ~ spl6_726
| ~ spl6_965 ),
inference(avatar_split_clause,[],[f42801,f42797,f26879,f47233]) ).
fof(f47233,plain,
( spl6_990
<=> sdtpldt0(xk,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_990])]) ).
fof(f42797,plain,
( spl6_965
<=> sdtpldt0(xp,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_965])]) ).
fof(f42801,plain,
( sdtpldt0(xk,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),xk)
| ~ spl6_726
| ~ spl6_965 ),
inference(forward_demodulation,[],[f42799,f26881]) ).
fof(f42799,plain,
( sdtpldt0(xp,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),xp)
| ~ spl6_965 ),
inference(avatar_component_clause,[],[f42797]) ).
fof(f47140,plain,
( spl6_989
| ~ spl6_106
| ~ spl6_146
| ~ spl6_726
| ~ spl6_929 ),
inference(avatar_split_clause,[],[f42422,f42417,f26879,f2170,f1110,f47137]) ).
fof(f47137,plain,
( spl6_989
<=> sdtasdt0(sdtasdt0(xk,xm),xk) = sdtasdt0(xk,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_989])]) ).
fof(f42417,plain,
( spl6_929
<=> sdtasdt0(xp,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_929])]) ).
fof(f42422,plain,
( sdtasdt0(sdtasdt0(xk,xm),xk) = sdtasdt0(xk,sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_726
| ~ spl6_929 ),
inference(forward_demodulation,[],[f42421,f4484]) ).
fof(f42421,plain,
( sdtasdt0(xk,sdtasdt0(xm,xk)) = sdtasdt0(sdtasdt0(xm,xk),xk)
| ~ spl6_726
| ~ spl6_929 ),
inference(forward_demodulation,[],[f42419,f26881]) ).
fof(f42419,plain,
( sdtasdt0(xp,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xp)
| ~ spl6_929 ),
inference(avatar_component_clause,[],[f42417]) ).
fof(f47135,plain,
( spl6_988
| ~ spl6_726
| ~ spl6_922 ),
inference(avatar_split_clause,[],[f42373,f42369,f26879,f47132]) ).
fof(f47132,plain,
( spl6_988
<=> sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_988])]) ).
fof(f42373,plain,
( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xk)
| ~ spl6_726
| ~ spl6_922 ),
inference(forward_demodulation,[],[f42371,f26881]) ).
fof(f47130,plain,
( spl6_987
| ~ spl6_478
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41445,f26879,f15075,f47127]) ).
fof(f47127,plain,
( spl6_987
<=> xk = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xk,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_987])]) ).
fof(f15075,plain,
( spl6_478
<=> xp = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xp,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f41445,plain,
( xk = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xk,sdtasdt0(xn,xm)))
| ~ spl6_478
| ~ spl6_726 ),
inference(superposition,[],[f15077,f26881]) ).
fof(f15077,plain,
( xp = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xp,sdtasdt0(xn,xm)))
| ~ spl6_478 ),
inference(avatar_component_clause,[],[f15075]) ).
fof(f47125,plain,
( spl6_986
| ~ spl6_477
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41444,f26879,f15043,f47122]) ).
fof(f47122,plain,
( spl6_986
<=> xk = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_986])]) ).
fof(f15043,plain,
( spl6_477
<=> xp = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f41444,plain,
( xk = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xk))
| ~ spl6_477
| ~ spl6_726 ),
inference(superposition,[],[f15045,f26881]) ).
fof(f15045,plain,
( xp = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xp))
| ~ spl6_477 ),
inference(avatar_component_clause,[],[f15043]) ).
fof(f46899,plain,
( spl6_985
| ~ spl6_160
| ~ spl6_630 ),
inference(avatar_split_clause,[],[f33626,f21239,f2694,f46896]) ).
fof(f46896,plain,
( spl6_985
<=> xm = sdtmndt0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_985])]) ).
fof(f21239,plain,
( spl6_630
<=> xm = sdtmndt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_630])]) ).
fof(f33626,plain,
( xm = sdtmndt0(xr,xr)
| ~ spl6_160
| ~ spl6_630 ),
inference(superposition,[],[f21241,f2696]) ).
fof(f21241,plain,
( xm = sdtmndt0(sz10,sz10)
| ~ spl6_630 ),
inference(avatar_component_clause,[],[f21239]) ).
fof(f44330,plain,
( spl6_984
| ~ spl6_726
| ~ spl6_797 ),
inference(avatar_split_clause,[],[f41509,f36279,f26879,f44327]) ).
fof(f44327,plain,
( spl6_984
<=> sP1(sdtsldt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_984])]) ).
fof(f36279,plain,
( spl6_797
<=> sP1(sdtsldt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_797])]) ).
fof(f41509,plain,
( sP1(sdtsldt0(xk,xk))
| ~ spl6_726
| ~ spl6_797 ),
inference(superposition,[],[f36281,f26881]) ).
fof(f36281,plain,
( sP1(sdtsldt0(xp,xp))
| ~ spl6_797 ),
inference(avatar_component_clause,[],[f36279]) ).
fof(f43570,plain,
( spl6_983
| ~ spl6_726
| ~ spl6_760 ),
inference(avatar_split_clause,[],[f41497,f33223,f26879,f43567]) ).
fof(f43567,plain,
( spl6_983
<=> sP1(sdtmndt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_983])]) ).
fof(f33223,plain,
( spl6_760
<=> sP1(sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_760])]) ).
fof(f41497,plain,
( sP1(sdtmndt0(xk,xm))
| ~ spl6_726
| ~ spl6_760 ),
inference(superposition,[],[f33225,f26881]) ).
fof(f33225,plain,
( sP1(sdtmndt0(xp,xm))
| ~ spl6_760 ),
inference(avatar_component_clause,[],[f33223]) ).
fof(f43253,plain,
( spl6_982
| ~ spl6_6
| ~ spl6_291
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f37292,f26209,f5713,f280,f43250]) ).
fof(f37292,plain,
( sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xm)),xp)
| ~ spl6_6
| ~ spl6_291
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26225,f5714]) ).
fof(f26225,plain,
( sdtasdt0(xp,xk) = sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,xm)),xp)
| ~ spl6_6
| ~ spl6_719 ),
inference(resolution,[],[f26210,f282]) ).
fof(f43206,plain,
( spl6_981
| ~ spl6_106
| ~ spl6_5
| ~ spl6_235
| spl6_775 ),
inference(avatar_split_clause,[],[f33675,f33670,f3628,f275,f1110,f43203]) ).
fof(f43203,plain,
( spl6_981
<=> xm = sdtpldt0(xk,sK5(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_981])]) ).
fof(f3628,plain,
( spl6_235
<=> ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f33675,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| xm = sdtpldt0(xk,sK5(xk,xm))
| ~ spl6_235
| spl6_775 ),
inference(resolution,[],[f33672,f3629]) ).
fof(f3629,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK5(X0,X1)) = X1 )
| ~ spl6_235 ),
inference(avatar_component_clause,[],[f3628]) ).
fof(f33672,plain,
( ~ sdtlseqdt0(xm,xk)
| spl6_775 ),
inference(avatar_component_clause,[],[f33670]) ).
fof(f43159,plain,
( spl6_980
| ~ spl6_106
| ~ spl6_5
| ~ spl6_236
| spl6_775 ),
inference(avatar_split_clause,[],[f33674,f33670,f3632,f275,f1110,f43156]) ).
fof(f43156,plain,
( spl6_980
<=> xm = sdtpldt0(xk,sdtmndt0(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_980])]) ).
fof(f3632,plain,
( spl6_236
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f33674,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| xm = sdtpldt0(xk,sdtmndt0(xm,xk))
| ~ spl6_236
| spl6_775 ),
inference(resolution,[],[f33672,f3633]) ).
fof(f3633,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ spl6_236 ),
inference(avatar_component_clause,[],[f3632]) ).
fof(f43154,plain,
( spl6_979
| ~ spl6_160
| ~ spl6_205 ),
inference(avatar_split_clause,[],[f33617,f3179,f2694,f43152]) ).
fof(f43152,plain,
( spl6_979
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xr)
| xr = X0
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_979])]) ).
fof(f3179,plain,
( spl6_205
<=> ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f33617,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xr)
| xr = X0
| ~ aNaturalNumber0(X0)
| xm = X0 )
| ~ spl6_160
| ~ spl6_205 ),
inference(superposition,[],[f3180,f2696]) ).
fof(f3180,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz10)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| xm = X0 )
| ~ spl6_205 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f43147,plain,
( spl6_978
| ~ spl6_160
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f33615,f3166,f2694,f43145]) ).
fof(f43145,plain,
( spl6_978
<=> ! [X0] :
( iLess0(xr,X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| xr = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_978])]) ).
fof(f3166,plain,
( spl6_202
<=> ! [X0] :
( xm = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f33615,plain,
( ! [X0] :
( iLess0(xr,X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| xr = X0 )
| ~ spl6_160
| ~ spl6_202 ),
inference(superposition,[],[f3167,f2696]) ).
fof(f3167,plain,
( ! [X0] :
( iLess0(sz10,X0)
| xm = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_202 ),
inference(avatar_component_clause,[],[f3166]) ).
fof(f42861,plain,
( spl6_977
| ~ spl6_174
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33392,f29837,f2906,f42859]) ).
fof(f42859,plain,
( spl6_977
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xk),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_977])]) ).
fof(f33392,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xk),X0)) )
| ~ spl6_174
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2907]) ).
fof(f42857,plain,
( spl6_976
| ~ spl6_172
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33391,f29837,f2875,f42855]) ).
fof(f42855,plain,
( spl6_976
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xk),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_976])]) ).
fof(f33391,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xk),X0),sz00) )
| ~ spl6_172
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2876]) ).
fof(f42853,plain,
( spl6_975
| ~ spl6_170
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33390,f29837,f2844,f42851]) ).
fof(f42851,plain,
( spl6_975
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xk),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_975])]) ).
fof(f33390,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xk),X0)) )
| ~ spl6_170
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2845]) ).
fof(f42849,plain,
( spl6_974
| ~ spl6_168
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33389,f29837,f2813,f42847]) ).
fof(f42847,plain,
( spl6_974
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xk),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_974])]) ).
fof(f33389,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xk),X0),sz00) )
| ~ spl6_168
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2814]) ).
fof(f42844,plain,
( spl6_973
| ~ spl6_155
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33386,f29837,f2581,f42841]) ).
fof(f42841,plain,
( spl6_973
<=> sdtasdt0(sdtasdt0(xn,xk),sz10) = sdtasdt0(sz10,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_973])]) ).
fof(f2581,plain,
( spl6_155
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f33386,plain,
( sdtasdt0(sdtasdt0(xn,xk),sz10) = sdtasdt0(sz10,sdtasdt0(xn,xk))
| ~ spl6_155
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2582]) ).
fof(f2582,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl6_155 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f42838,plain,
( spl6_972
| ~ spl6_153
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33384,f29837,f2572,f42835]) ).
fof(f42835,plain,
( spl6_972
<=> sdtpldt0(sdtasdt0(xn,xk),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_972])]) ).
fof(f2572,plain,
( spl6_153
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f33384,plain,
( sdtpldt0(sdtasdt0(xn,xk),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xk))
| ~ spl6_153
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2573]) ).
fof(f2573,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f42832,plain,
( spl6_971
| ~ spl6_148
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33382,f29837,f2178,f42829]) ).
fof(f42829,plain,
( spl6_971
<=> sdtasdt0(sdtasdt0(xn,xk),xr) = sdtasdt0(xr,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_971])]) ).
fof(f2178,plain,
( spl6_148
<=> ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f33382,plain,
( sdtasdt0(sdtasdt0(xn,xk),xr) = sdtasdt0(xr,sdtasdt0(xn,xk))
| ~ spl6_148
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2179]) ).
fof(f2179,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ spl6_148 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f42826,plain,
( spl6_970
| ~ spl6_147
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33381,f29837,f2174,f42823]) ).
fof(f33381,plain,
( sdtasdt0(xp,sdtasdt0(xn,xk)) = sdtasdt0(sdtasdt0(xn,xk),xp)
| ~ spl6_147
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2175]) ).
fof(f42821,plain,
( spl6_969
| ~ spl6_146
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33380,f29837,f2170,f42818]) ).
fof(f42818,plain,
( spl6_969
<=> sdtasdt0(sdtasdt0(xn,xk),xm) = sdtasdt0(xm,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_969])]) ).
fof(f33380,plain,
( sdtasdt0(sdtasdt0(xn,xk),xm) = sdtasdt0(xm,sdtasdt0(xn,xk))
| ~ spl6_146
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2171]) ).
fof(f42816,plain,
( spl6_968
| ~ spl6_145
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33379,f29837,f2166,f42813]) ).
fof(f42813,plain,
( spl6_968
<=> sdtasdt0(sdtasdt0(xn,xk),xn) = sdtasdt0(xn,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_968])]) ).
fof(f33379,plain,
( sdtasdt0(sdtasdt0(xn,xk),xn) = sdtasdt0(xn,sdtasdt0(xn,xk))
| ~ spl6_145
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2167]) ).
fof(f42811,plain,
( spl6_967
| ~ spl6_634
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41458,f26879,f21264,f42808]) ).
fof(f41458,plain,
( aNaturalNumber0(sdtmndt0(xk,xm))
| ~ spl6_634
| ~ spl6_726 ),
inference(superposition,[],[f21265,f26881]) ).
fof(f42806,plain,
( spl6_966
| ~ spl6_144
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33378,f29837,f2162,f42803]) ).
fof(f42803,plain,
( spl6_966
<=> sdtpldt0(sdtasdt0(xn,xk),xr) = sdtpldt0(xr,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_966])]) ).
fof(f33378,plain,
( sdtpldt0(sdtasdt0(xn,xk),xr) = sdtpldt0(xr,sdtasdt0(xn,xk))
| ~ spl6_144
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2163]) ).
fof(f42800,plain,
( spl6_965
| ~ spl6_143
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33377,f29837,f2158,f42797]) ).
fof(f33377,plain,
( sdtpldt0(xp,sdtasdt0(xn,xk)) = sdtpldt0(sdtasdt0(xn,xk),xp)
| ~ spl6_143
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2159]) ).
fof(f42795,plain,
( spl6_964
| ~ spl6_142
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33376,f29837,f2154,f42792]) ).
fof(f42792,plain,
( spl6_964
<=> sdtpldt0(sdtasdt0(xn,xk),xm) = sdtpldt0(xm,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_964])]) ).
fof(f2154,plain,
( spl6_142
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f33376,plain,
( sdtpldt0(sdtasdt0(xn,xk),xm) = sdtpldt0(xm,sdtasdt0(xn,xk))
| ~ spl6_142
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2155]) ).
fof(f2155,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ spl6_142 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f42790,plain,
( spl6_963
| ~ spl6_140
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33375,f29837,f2145,f42787]) ).
fof(f42787,plain,
( spl6_963
<=> sdtpldt0(sdtasdt0(xn,xk),xn) = sdtpldt0(xn,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_963])]) ).
fof(f33375,plain,
( sdtpldt0(sdtasdt0(xn,xk),xn) = sdtpldt0(xn,sdtasdt0(xn,xk))
| ~ spl6_140
| ~ spl6_741 ),
inference(resolution,[],[f29838,f2146]) ).
fof(f42785,plain,
( ~ spl6_962
| ~ spl6_121
| ~ spl6_160
| spl6_960 ),
inference(avatar_split_clause,[],[f42713,f42703,f2694,f1185,f42782]) ).
fof(f42782,plain,
( spl6_962
<=> sdtasdt0(xn,sdtsldt0(xr,xr)) = sdtsldt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_962])]) ).
fof(f1185,plain,
( spl6_121
<=> xn = sdtasdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f42703,plain,
( spl6_960
<=> sdtsldt0(sdtasdt0(xr,xn),xr) = sdtasdt0(xn,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_960])]) ).
fof(f42713,plain,
( sdtasdt0(xn,sdtsldt0(xr,xr)) != sdtsldt0(xn,xr)
| ~ spl6_121
| ~ spl6_160
| spl6_960 ),
inference(forward_demodulation,[],[f42704,f33603]) ).
fof(f33603,plain,
( xn = sdtasdt0(xr,xn)
| ~ spl6_121
| ~ spl6_160 ),
inference(superposition,[],[f1187,f2696]) ).
fof(f1187,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_121 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f42704,plain,
( sdtsldt0(sdtasdt0(xr,xn),xr) != sdtasdt0(xn,sdtsldt0(xr,xr))
| spl6_960 ),
inference(avatar_component_clause,[],[f42703]) ).
fof(f42718,plain,
( spl6_961
| ~ spl6_608
| ~ spl6_726
| ~ spl6_942 ),
inference(avatar_split_clause,[],[f42707,f42555,f26879,f21010,f42715]) ).
fof(f42715,plain,
( spl6_961
<=> xk = sdtasdt0(xk,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_961])]) ).
fof(f21010,plain,
( spl6_608
<=> xk = sdtsldt0(sdtasdt0(xr,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_608])]) ).
fof(f42555,plain,
( spl6_942
<=> sdtasdt0(xp,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xr,xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_942])]) ).
fof(f42707,plain,
( xk = sdtasdt0(xk,sdtsldt0(xr,xr))
| ~ spl6_608
| ~ spl6_726
| ~ spl6_942 ),
inference(forward_demodulation,[],[f42559,f21012]) ).
fof(f21012,plain,
( xk = sdtsldt0(sdtasdt0(xr,xk),xr)
| ~ spl6_608 ),
inference(avatar_component_clause,[],[f21010]) ).
fof(f42559,plain,
( sdtsldt0(sdtasdt0(xr,xk),xr) = sdtasdt0(xk,sdtsldt0(xr,xr))
| ~ spl6_726
| ~ spl6_942 ),
inference(forward_demodulation,[],[f42557,f26881]) ).
fof(f42557,plain,
( sdtasdt0(xp,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xr,xp),xr)
| ~ spl6_942 ),
inference(avatar_component_clause,[],[f42555]) ).
fof(f42706,plain,
( spl6_960
| ~ spl6_2
| ~ spl6_4
| ~ spl6_145
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f33341,f32252,f2166,f270,f260,f42703]) ).
fof(f32252,plain,
( spl6_746
<=> ! [X0] :
( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_746])]) ).
fof(f33341,plain,
( sdtsldt0(sdtasdt0(xr,xn),xr) = sdtasdt0(xn,sdtsldt0(xr,xr))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_145
| ~ spl6_746 ),
inference(forward_demodulation,[],[f32269,f2475]) ).
fof(f2475,plain,
( sdtasdt0(xr,xn) = sdtasdt0(xn,xr)
| ~ spl6_2
| ~ spl6_145 ),
inference(resolution,[],[f2167,f262]) ).
fof(f262,plain,
( aNaturalNumber0(xr)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f32269,plain,
( sdtsldt0(sdtasdt0(xn,xr),xr) = sdtasdt0(xn,sdtsldt0(xr,xr))
| ~ spl6_4
| ~ spl6_746 ),
inference(resolution,[],[f32253,f272]) ).
fof(f32253,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ spl6_746 ),
inference(avatar_component_clause,[],[f32252]) ).
fof(f42701,plain,
( spl6_959
| ~ spl6_320
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32521,f32332,f6216,f42699]) ).
fof(f42699,plain,
( spl6_959
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xr,xp),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_959])]) ).
fof(f6216,plain,
( spl6_320
<=> ! [X0,X1] :
( xp = sdtasdt0(sdtpldt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f32521,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xr,xp),X0),xp) )
| ~ spl6_320
| ~ spl6_748 ),
inference(resolution,[],[f32333,f6217]) ).
fof(f6217,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(X1,X0),xp) )
| ~ spl6_320 ),
inference(avatar_component_clause,[],[f6216]) ).
fof(f42696,plain,
( spl6_958
| ~ spl6_290
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41423,f26879,f5517,f42693]) ).
fof(f42693,plain,
( spl6_958
<=> sP1(sdtasdt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_958])]) ).
fof(f5517,plain,
( spl6_290
<=> sP1(sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f41423,plain,
( sP1(sdtasdt0(xk,xk))
| ~ spl6_290
| ~ spl6_726 ),
inference(superposition,[],[f5519,f26881]) ).
fof(f5519,plain,
( sP1(sdtasdt0(xp,xk))
| ~ spl6_290 ),
inference(avatar_component_clause,[],[f5517]) ).
fof(f42691,plain,
( spl6_957
| ~ spl6_319
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32520,f32332,f6212,f42689]) ).
fof(f42689,plain,
( spl6_957
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xr,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_957])]) ).
fof(f6212,plain,
( spl6_319
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f32520,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xr,xp),X0)) )
| ~ spl6_319
| ~ spl6_748 ),
inference(resolution,[],[f32333,f6213]) ).
fof(f6213,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(X1,X0)) )
| ~ spl6_319 ),
inference(avatar_component_clause,[],[f6212]) ).
fof(f42687,plain,
( spl6_956
| ~ spl6_318
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32519,f32332,f6208,f42685]) ).
fof(f42685,plain,
( spl6_956
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xr,xp),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_956])]) ).
fof(f6208,plain,
( spl6_318
<=> ! [X0,X1] :
( xp = sdtasdt0(sdtasdt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f32519,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xr,xp),X0),xp) )
| ~ spl6_318
| ~ spl6_748 ),
inference(resolution,[],[f32333,f6209]) ).
fof(f6209,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(X1,X0),xp) )
| ~ spl6_318 ),
inference(avatar_component_clause,[],[f6208]) ).
fof(f42682,plain,
( spl6_955
| ~ spl6_174
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32485,f32332,f2906,f42680]) ).
fof(f42680,plain,
( spl6_955
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xr,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_955])]) ).
fof(f32485,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xr,xp),X0)) )
| ~ spl6_174
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2907]) ).
fof(f42677,plain,
( spl6_954
| ~ spl6_172
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32484,f32332,f2875,f42675]) ).
fof(f42675,plain,
( spl6_954
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xr,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_954])]) ).
fof(f32484,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xr,xp),X0),sz00) )
| ~ spl6_172
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2876]) ).
fof(f42672,plain,
( spl6_953
| ~ spl6_170
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32483,f32332,f2844,f42670]) ).
fof(f42670,plain,
( spl6_953
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xr,xp),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_953])]) ).
fof(f32483,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xr,xp),X0)) )
| ~ spl6_170
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2845]) ).
fof(f42667,plain,
( spl6_952
| ~ spl6_168
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32482,f32332,f2813,f42665]) ).
fof(f42665,plain,
( spl6_952
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xr,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_952])]) ).
fof(f32482,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xr,xp),X0),sz00) )
| ~ spl6_168
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2814]) ).
fof(f42662,plain,
( spl6_951
| ~ spl6_153
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32477,f32332,f2572,f42659]) ).
fof(f32477,plain,
( sdtpldt0(sdtasdt0(xr,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xr,xp))
| ~ spl6_153
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2573]) ).
fof(f42656,plain,
( spl6_950
| ~ spl6_148
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32475,f32332,f2178,f42653]) ).
fof(f42653,plain,
( spl6_950
<=> sdtasdt0(xr,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_950])]) ).
fof(f32475,plain,
( sdtasdt0(xr,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),xr)
| ~ spl6_148
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2179]) ).
fof(f42650,plain,
( spl6_949
| ~ spl6_147
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32474,f32332,f2174,f42647]) ).
fof(f42647,plain,
( spl6_949
<=> sdtasdt0(sdtasdt0(xr,xp),xp) = sdtasdt0(xp,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_949])]) ).
fof(f32474,plain,
( sdtasdt0(sdtasdt0(xr,xp),xp) = sdtasdt0(xp,sdtasdt0(xr,xp))
| ~ spl6_147
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2175]) ).
fof(f42644,plain,
( spl6_948
| ~ spl6_146
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32473,f32332,f2170,f42641]) ).
fof(f42641,plain,
( spl6_948
<=> sdtasdt0(xm,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_948])]) ).
fof(f32473,plain,
( sdtasdt0(xm,sdtasdt0(xr,xp)) = sdtasdt0(sdtasdt0(xr,xp),xm)
| ~ spl6_146
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2171]) ).
fof(f42588,plain,
( spl6_947
| ~ spl6_145
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32472,f32332,f2166,f42585]) ).
fof(f42585,plain,
( spl6_947
<=> sdtasdt0(sdtasdt0(xr,xp),xn) = sdtasdt0(xn,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_947])]) ).
fof(f32472,plain,
( sdtasdt0(sdtasdt0(xr,xp),xn) = sdtasdt0(xn,sdtasdt0(xr,xp))
| ~ spl6_145
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2167]) ).
fof(f42582,plain,
( spl6_946
| ~ spl6_144
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32471,f32332,f2162,f42579]) ).
fof(f32471,plain,
( sdtpldt0(sdtasdt0(xr,xp),xr) = sdtpldt0(xr,sdtasdt0(xr,xp))
| ~ spl6_144
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2163]) ).
fof(f42576,plain,
( spl6_945
| ~ spl6_143
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32470,f32332,f2158,f42573]) ).
fof(f42573,plain,
( spl6_945
<=> sdtpldt0(sdtasdt0(xr,xp),xp) = sdtpldt0(xp,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_945])]) ).
fof(f32470,plain,
( sdtpldt0(sdtasdt0(xr,xp),xp) = sdtpldt0(xp,sdtasdt0(xr,xp))
| ~ spl6_143
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2159]) ).
fof(f42570,plain,
( spl6_944
| ~ spl6_142
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32469,f32332,f2154,f42567]) ).
fof(f42567,plain,
( spl6_944
<=> sdtpldt0(sdtasdt0(xr,xp),xm) = sdtpldt0(xm,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_944])]) ).
fof(f32469,plain,
( sdtpldt0(sdtasdt0(xr,xp),xm) = sdtpldt0(xm,sdtasdt0(xr,xp))
| ~ spl6_142
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2155]) ).
fof(f42564,plain,
( spl6_943
| ~ spl6_140
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32468,f32332,f2145,f42561]) ).
fof(f42561,plain,
( spl6_943
<=> sdtpldt0(sdtasdt0(xr,xp),xn) = sdtpldt0(xn,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_943])]) ).
fof(f32468,plain,
( sdtpldt0(sdtasdt0(xr,xp),xn) = sdtpldt0(xn,sdtasdt0(xr,xp))
| ~ spl6_140
| ~ spl6_748 ),
inference(resolution,[],[f32333,f2146]) ).
fof(f42558,plain,
( spl6_942
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f32294,f32252,f2174,f280,f260,f42555]) ).
fof(f32294,plain,
( sdtasdt0(xp,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xr,xp),xr)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_147
| ~ spl6_746 ),
inference(forward_demodulation,[],[f32271,f2525]) ).
fof(f2525,plain,
( sdtasdt0(xr,xp) = sdtasdt0(xp,xr)
| ~ spl6_2
| ~ spl6_147 ),
inference(resolution,[],[f2175,f262]) ).
fof(f32271,plain,
( sdtasdt0(xp,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xp,xr),xr)
| ~ spl6_6
| ~ spl6_746 ),
inference(resolution,[],[f32253,f282]) ).
fof(f42503,plain,
( spl6_941
| ~ spl6_122
| ~ spl6_160
| ~ spl6_940 ),
inference(avatar_split_clause,[],[f42498,f42494,f2694,f1190,f42500]) ).
fof(f42500,plain,
( spl6_941
<=> sdtsldt0(xm,xr) = sdtasdt0(xm,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_941])]) ).
fof(f42494,plain,
( spl6_940
<=> sdtsldt0(sdtasdt0(xr,xm),xr) = sdtasdt0(xm,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_940])]) ).
fof(f42498,plain,
( sdtsldt0(xm,xr) = sdtasdt0(xm,sdtsldt0(xr,xr))
| ~ spl6_122
| ~ spl6_160
| ~ spl6_940 ),
inference(forward_demodulation,[],[f42496,f33604]) ).
fof(f33604,plain,
( xm = sdtasdt0(xr,xm)
| ~ spl6_122
| ~ spl6_160 ),
inference(superposition,[],[f1192,f2696]) ).
fof(f42496,plain,
( sdtsldt0(sdtasdt0(xr,xm),xr) = sdtasdt0(xm,sdtsldt0(xr,xr))
| ~ spl6_940 ),
inference(avatar_component_clause,[],[f42494]) ).
fof(f42497,plain,
( spl6_940
| ~ spl6_2
| ~ spl6_5
| ~ spl6_146
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f32293,f32252,f2170,f275,f260,f42494]) ).
fof(f32293,plain,
( sdtsldt0(sdtasdt0(xr,xm),xr) = sdtasdt0(xm,sdtsldt0(xr,xr))
| ~ spl6_2
| ~ spl6_5
| ~ spl6_146
| ~ spl6_746 ),
inference(forward_demodulation,[],[f32270,f2501]) ).
fof(f2501,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ spl6_2
| ~ spl6_146 ),
inference(resolution,[],[f2171,f262]) ).
fof(f32270,plain,
( sdtasdt0(xm,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xm,xr),xr)
| ~ spl6_5
| ~ spl6_746 ),
inference(resolution,[],[f32253,f277]) ).
fof(f42491,plain,
( spl6_939
| ~ spl6_2
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f32273,f32252,f260,f42488]) ).
fof(f42488,plain,
( spl6_939
<=> sdtasdt0(xr,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xr,xr),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_939])]) ).
fof(f32273,plain,
( sdtasdt0(xr,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(xr,xr),xr)
| ~ spl6_2
| ~ spl6_746 ),
inference(resolution,[],[f32253,f262]) ).
fof(f42486,plain,
( spl6_938
| ~ spl6_726
| ~ spl6_844 ),
inference(avatar_split_clause,[],[f41525,f39612,f26879,f42483]) ).
fof(f42483,plain,
( spl6_938
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_938])]) ).
fof(f39612,plain,
( spl6_844
<=> sdtlseqdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_844])]) ).
fof(f41525,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl6_726
| ~ spl6_844 ),
inference(superposition,[],[f39614,f26881]) ).
fof(f39614,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_844 ),
inference(avatar_component_clause,[],[f39612]) ).
fof(f42477,plain,
( spl6_937
| ~ spl6_106
| ~ spl6_146
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794
| ~ spl6_936 ),
inference(avatar_split_clause,[],[f42472,f42467,f35845,f8697,f2694,f2170,f1110,f42474]) ).
fof(f42474,plain,
( spl6_937
<=> sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xk,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_937])]) ).
fof(f42467,plain,
( spl6_936
<=> sdtasdt0(xm,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_936])]) ).
fof(f42472,plain,
( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xk,xm),xr)
| ~ spl6_106
| ~ spl6_146
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794
| ~ spl6_936 ),
inference(forward_demodulation,[],[f42471,f4484]) ).
fof(f42471,plain,
( sdtasdt0(xm,xk) = sdtsldt0(sdtasdt0(xk,xm),xr)
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794
| ~ spl6_936 ),
inference(forward_demodulation,[],[f42469,f42189]) ).
fof(f42469,plain,
( sdtasdt0(xm,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,xm),xr)
| ~ spl6_936 ),
inference(avatar_component_clause,[],[f42467]) ).
fof(f42470,plain,
( spl6_936
| ~ spl6_5
| ~ spl6_106
| ~ spl6_146
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f32040,f8741,f2170,f1110,f275,f42467]) ).
fof(f32040,plain,
( sdtasdt0(xm,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xk,xm),xr)
| ~ spl6_5
| ~ spl6_106
| ~ spl6_146
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9057,f4484]) ).
fof(f9057,plain,
( sdtasdt0(xm,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xm,xk),xr)
| ~ spl6_5
| ~ spl6_398 ),
inference(resolution,[],[f8742,f277]) ).
fof(f42460,plain,
( spl6_935
| ~ spl6_160
| ~ spl6_291
| ~ spl6_393
| ~ spl6_794
| ~ spl6_934 ),
inference(avatar_split_clause,[],[f42455,f42450,f35845,f8697,f5713,f2694,f42457]) ).
fof(f42450,plain,
( spl6_934
<=> sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_934])]) ).
fof(f42455,plain,
( sdtasdt0(xn,xm) = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl6_160
| ~ spl6_291
| ~ spl6_393
| ~ spl6_794
| ~ spl6_934 ),
inference(forward_demodulation,[],[f42454,f5714]) ).
fof(f42454,plain,
( sdtasdt0(xp,xk) = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl6_160
| ~ spl6_393
| ~ spl6_794
| ~ spl6_934 ),
inference(forward_demodulation,[],[f42452,f42189]) ).
fof(f42452,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ spl6_934 ),
inference(avatar_component_clause,[],[f42450]) ).
fof(f42453,plain,
( spl6_934
| ~ spl6_6
| ~ spl6_291
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f32037,f8741,f5713,f280,f42450]) ).
fof(f32037,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ spl6_6
| ~ spl6_291
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9058,f5714]) ).
fof(f9058,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xp,xk),xr)
| ~ spl6_6
| ~ spl6_398 ),
inference(resolution,[],[f8742,f282]) ).
fof(f42446,plain,
( spl6_933
| ~ spl6_172
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27318,f24736,f2875,f42444]) ).
fof(f42444,plain,
( spl6_933
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_933])]) ).
fof(f27318,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00) )
| ~ spl6_172
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2876]) ).
fof(f42440,plain,
( spl6_932
| ~ spl6_168
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27316,f24736,f2813,f42438]) ).
fof(f42438,plain,
( spl6_932
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_932])]) ).
fof(f27316,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sz00) )
| ~ spl6_168
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2814]) ).
fof(f42434,plain,
( spl6_931
| ~ spl6_153
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27311,f24736,f2572,f42431]) ).
fof(f27311,plain,
( sdtpldt0(sdtasdt0(xm,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xp))
| ~ spl6_153
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2573]) ).
fof(f42427,plain,
( spl6_930
| ~ spl6_148
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27309,f24736,f2178,f42424]) ).
fof(f42424,plain,
( spl6_930
<=> sdtasdt0(xr,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_930])]) ).
fof(f27309,plain,
( sdtasdt0(xr,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xr)
| ~ spl6_148
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2179]) ).
fof(f42420,plain,
( spl6_929
| ~ spl6_147
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27308,f24736,f2174,f42417]) ).
fof(f27308,plain,
( sdtasdt0(xp,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xp)
| ~ spl6_147
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2175]) ).
fof(f42413,plain,
( spl6_928
| ~ spl6_146
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27307,f24736,f2170,f42410]) ).
fof(f42410,plain,
( spl6_928
<=> sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_928])]) ).
fof(f27307,plain,
( sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xm)
| ~ spl6_146
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2171]) ).
fof(f42406,plain,
( spl6_927
| ~ spl6_145
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27306,f24736,f2166,f42403]) ).
fof(f42403,plain,
( spl6_927
<=> sdtasdt0(xn,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_927])]) ).
fof(f27306,plain,
( sdtasdt0(xn,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xm,xp),xn)
| ~ spl6_145
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2167]) ).
fof(f42399,plain,
( spl6_926
| ~ spl6_144
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27305,f24736,f2162,f42396]) ).
fof(f27305,plain,
( sdtpldt0(sdtasdt0(xm,xp),xr) = sdtpldt0(xr,sdtasdt0(xm,xp))
| ~ spl6_144
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2163]) ).
fof(f42392,plain,
( spl6_925
| ~ spl6_143
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27304,f24736,f2158,f42389]) ).
fof(f42389,plain,
( spl6_925
<=> sdtpldt0(sdtasdt0(xm,xp),xp) = sdtpldt0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_925])]) ).
fof(f27304,plain,
( sdtpldt0(sdtasdt0(xm,xp),xp) = sdtpldt0(xp,sdtasdt0(xm,xp))
| ~ spl6_143
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2159]) ).
fof(f42385,plain,
( spl6_924
| ~ spl6_142
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27303,f24736,f2154,f42382]) ).
fof(f42382,plain,
( spl6_924
<=> sdtpldt0(sdtasdt0(xm,xp),xm) = sdtpldt0(xm,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_924])]) ).
fof(f27303,plain,
( sdtpldt0(sdtasdt0(xm,xp),xm) = sdtpldt0(xm,sdtasdt0(xm,xp))
| ~ spl6_142
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2155]) ).
fof(f42378,plain,
( spl6_923
| ~ spl6_140
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27302,f24736,f2145,f42375]) ).
fof(f42375,plain,
( spl6_923
<=> sdtpldt0(sdtasdt0(xm,xp),xn) = sdtpldt0(xn,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_923])]) ).
fof(f27302,plain,
( sdtpldt0(sdtasdt0(xm,xp),xn) = sdtpldt0(xn,sdtasdt0(xm,xp))
| ~ spl6_140
| ~ spl6_709 ),
inference(resolution,[],[f24737,f2146]) ).
fof(f42372,plain,
( spl6_922
| ~ spl6_5
| ~ spl6_106
| ~ spl6_146
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26238,f26209,f2170,f1110,f275,f42369]) ).
fof(f26238,plain,
( sdtasdt0(xk,xm) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xp)
| ~ spl6_5
| ~ spl6_106
| ~ spl6_146
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26224,f4484]) ).
fof(f26224,plain,
( sdtasdt0(xm,xk) = sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,xm)),xp)
| ~ spl6_5
| ~ spl6_719 ),
inference(resolution,[],[f26210,f277]) ).
fof(f42208,plain,
( spl6_921
| ~ spl6_41
| ~ spl6_155
| ~ spl6_160
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33502,f29837,f2694,f2581,f449,f42205]) ).
fof(f42205,plain,
( spl6_921
<=> sdtasdt0(xn,xk) = sdtasdt0(sdtasdt0(xn,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_921])]) ).
fof(f33502,plain,
( sdtasdt0(xn,xk) = sdtasdt0(sdtasdt0(xn,xk),xr)
| ~ spl6_41
| ~ spl6_155
| ~ spl6_160
| ~ spl6_741 ),
inference(forward_demodulation,[],[f33501,f33496]) ).
fof(f33496,plain,
( sdtasdt0(xn,xk) = sdtasdt0(xr,sdtasdt0(xn,xk))
| ~ spl6_41
| ~ spl6_160
| ~ spl6_741 ),
inference(forward_demodulation,[],[f33368,f2696]) ).
fof(f33368,plain,
( sdtasdt0(xn,xk) = sdtasdt0(sz10,sdtasdt0(xn,xk))
| ~ spl6_41
| ~ spl6_741 ),
inference(resolution,[],[f29838,f450]) ).
fof(f33501,plain,
( sdtasdt0(sdtasdt0(xn,xk),xr) = sdtasdt0(xr,sdtasdt0(xn,xk))
| ~ spl6_155
| ~ spl6_160
| ~ spl6_741 ),
inference(forward_demodulation,[],[f33386,f2696]) ).
fof(f42203,plain,
( spl6_920
| ~ spl6_41
| ~ spl6_160
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33496,f29837,f2694,f449,f42200]) ).
fof(f42200,plain,
( spl6_920
<=> sdtasdt0(xn,xk) = sdtasdt0(xr,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_920])]) ).
fof(f42198,plain,
( ~ spl6_674
| spl6_9
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f33595,f2694,f295,f22548]) ).
fof(f22548,plain,
( spl6_674
<=> sP0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_674])]) ).
fof(f295,plain,
( spl6_9
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f33595,plain,
( ~ sP0(xr)
| spl6_9
| ~ spl6_160 ),
inference(superposition,[],[f297,f2696]) ).
fof(f297,plain,
( ~ sP0(sz10)
| spl6_9 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f42092,plain,
( spl6_483
| ~ spl6_1
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41385,f26879,f255,f15592]) ).
fof(f15592,plain,
( spl6_483
<=> isPrime0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f255,plain,
( spl6_1
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f41385,plain,
( isPrime0(xk)
| ~ spl6_1
| ~ spl6_726 ),
inference(superposition,[],[f257,f26881]) ).
fof(f257,plain,
( isPrime0(xp)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f41883,plain,
( spl6_919
| ~ spl6_106
| ~ spl6_106
| ~ spl6_157
| ~ spl6_362
| ~ spl6_726
| ~ spl6_728 ),
inference(avatar_split_clause,[],[f41655,f26888,f26879,f7409,f2589,f1110,f1110,f41880]) ).
fof(f41880,plain,
( spl6_919
<=> xk = sdtmndt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_919])]) ).
fof(f26888,plain,
( spl6_728
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_728])]) ).
fof(f41655,plain,
( ~ aNaturalNumber0(xk)
| xk = sdtmndt0(xk,xk)
| ~ spl6_106
| ~ spl6_157
| ~ spl6_362
| ~ spl6_726
| ~ spl6_728 ),
inference(duplicate_literal_removal,[],[f41654]) ).
fof(f41654,plain,
( ~ aNaturalNumber0(xk)
| xk = sdtmndt0(xk,xk)
| ~ aNaturalNumber0(xk)
| ~ spl6_106
| ~ spl6_157
| ~ spl6_362
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41653,f26881]) ).
fof(f41653,plain,
( xk = sdtmndt0(xk,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_106
| ~ spl6_157
| ~ spl6_362
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41652,f4490]) ).
fof(f4490,plain,
( xk = sdtpldt0(xk,sdtmndt0(xk,xk))
| ~ spl6_106
| ~ spl6_157 ),
inference(resolution,[],[f1111,f2590]) ).
fof(f41652,plain,
( sdtmndt0(xk,xk) = sdtpldt0(xk,sdtmndt0(xk,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_362
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41578,f26881]) ).
fof(f41578,plain,
( sdtmndt0(xp,xk) = sdtpldt0(xp,sdtmndt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_362
| ~ spl6_728 ),
inference(resolution,[],[f26889,f7410]) ).
fof(f26889,plain,
( sdtlseqdt0(xk,xp)
| ~ spl6_728 ),
inference(avatar_component_clause,[],[f26888]) ).
fof(f41874,plain,
( spl6_918
| ~ spl6_106
| ~ spl6_106
| ~ spl6_156
| ~ spl6_356
| ~ spl6_726
| ~ spl6_728 ),
inference(avatar_split_clause,[],[f41636,f26888,f26879,f7258,f2585,f1110,f1110,f41871]) ).
fof(f41871,plain,
( spl6_918
<=> xk = sK5(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_918])]) ).
fof(f41636,plain,
( ~ aNaturalNumber0(xk)
| xk = sK5(xk,xk)
| ~ spl6_106
| ~ spl6_156
| ~ spl6_356
| ~ spl6_726
| ~ spl6_728 ),
inference(duplicate_literal_removal,[],[f41635]) ).
fof(f41635,plain,
( ~ aNaturalNumber0(xk)
| xk = sK5(xk,xk)
| ~ aNaturalNumber0(xk)
| ~ spl6_106
| ~ spl6_156
| ~ spl6_356
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41634,f26881]) ).
fof(f41634,plain,
( xk = sK5(xk,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_106
| ~ spl6_156
| ~ spl6_356
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41633,f4489]) ).
fof(f4489,plain,
( xk = sdtpldt0(xk,sK5(xk,xk))
| ~ spl6_106
| ~ spl6_156 ),
inference(resolution,[],[f1111,f2586]) ).
fof(f41633,plain,
( sK5(xk,xk) = sdtpldt0(xk,sK5(xk,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_356
| ~ spl6_726
| ~ spl6_728 ),
inference(forward_demodulation,[],[f41572,f26881]) ).
fof(f41572,plain,
( sK5(xk,xp) = sdtpldt0(xp,sK5(xk,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_356
| ~ spl6_728 ),
inference(resolution,[],[f26889,f7259]) ).
fof(f41869,plain,
( spl6_917
| ~ spl6_106
| ~ spl6_146
| ~ spl6_712
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41538,f26879,f24751,f2170,f1110,f41866]) ).
fof(f41866,plain,
( spl6_917
<=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_917])]) ).
fof(f41538,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_712
| ~ spl6_726 ),
inference(forward_demodulation,[],[f41473,f4484]) ).
fof(f41473,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xk))
| ~ spl6_712
| ~ spl6_726 ),
inference(superposition,[],[f24753,f26881]) ).
fof(f41864,plain,
( ~ spl6_916
| ~ spl6_106
| ~ spl6_146
| spl6_707
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41536,f26879,f24405,f2170,f1110,f41861]) ).
fof(f41861,plain,
( spl6_916
<=> sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_916])]) ).
fof(f41536,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xn,xm))
| ~ spl6_106
| ~ spl6_146
| spl6_707
| ~ spl6_726 ),
inference(forward_demodulation,[],[f41471,f4484]) ).
fof(f41471,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xk),sdtasdt0(xn,xm))
| spl6_707
| ~ spl6_726 ),
inference(superposition,[],[f24407,f26881]) ).
fof(f41859,plain,
( spl6_915
| ~ spl6_106
| ~ spl6_146
| ~ spl6_706
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41535,f26879,f24360,f2170,f1110,f41856]) ).
fof(f41856,plain,
( spl6_915
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_915])]) ).
fof(f41535,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_706
| ~ spl6_726 ),
inference(forward_demodulation,[],[f41470,f4484]) ).
fof(f41470,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xk))
| ~ spl6_706
| ~ spl6_726 ),
inference(superposition,[],[f24362,f26881]) ).
fof(f41854,plain,
( spl6_914
| ~ spl6_726
| ~ spl6_780 ),
inference(avatar_split_clause,[],[f41504,f34333,f26879,f41851]) ).
fof(f41851,plain,
( spl6_914
<=> sdtlseqdt0(sdtasdt0(xr,xk),sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_914])]) ).
fof(f34333,plain,
( spl6_780
<=> sdtlseqdt0(sdtasdt0(xr,xp),sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_780])]) ).
fof(f41504,plain,
( sdtlseqdt0(sdtasdt0(xr,xk),sdtasdt0(xr,xn))
| ~ spl6_726
| ~ spl6_780 ),
inference(superposition,[],[f34335,f26881]) ).
fof(f34335,plain,
( sdtlseqdt0(sdtasdt0(xr,xp),sdtasdt0(xr,xn))
| ~ spl6_780 ),
inference(avatar_component_clause,[],[f34333]) ).
fof(f41849,plain,
( spl6_913
| ~ spl6_291
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41424,f26879,f5713,f41846]) ).
fof(f41424,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xk,xk)
| ~ spl6_291
| ~ spl6_726 ),
inference(superposition,[],[f5714,f26881]) ).
fof(f41843,plain,
( spl6_912
| ~ spl6_289
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41422,f26879,f5502,f41840]) ).
fof(f41840,plain,
( spl6_912
<=> sdtlseqdt0(sdtasdt0(xk,xk),sdtasdt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_912])]) ).
fof(f41422,plain,
( sdtlseqdt0(sdtasdt0(xk,xk),sdtasdt0(xk,xk))
| ~ spl6_289
| ~ spl6_726 ),
inference(superposition,[],[f5504,f26881]) ).
fof(f41837,plain,
( ~ spl6_911
| spl6_33
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41396,f26879,f414,f41834]) ).
fof(f41834,plain,
( spl6_911
<=> sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_911])]) ).
fof(f41396,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xk,xk))
| spl6_33
| ~ spl6_726 ),
inference(superposition,[],[f416,f26881]) ).
fof(f41832,plain,
( ~ spl6_910
| spl6_30
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41395,f26879,f402,f41829]) ).
fof(f41829,plain,
( spl6_910
<=> sdtasdt0(xn,xm) = sdtasdt0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_910])]) ).
fof(f41395,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xk,xm)
| spl6_30
| ~ spl6_726 ),
inference(superposition,[],[f403,f26881]) ).
fof(f41761,plain,
( ~ spl6_909
| ~ spl6_726
| spl6_803 ),
inference(avatar_split_clause,[],[f41515,f37360,f26879,f41758]) ).
fof(f41758,plain,
( spl6_909
<=> doDivides0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_909])]) ).
fof(f41515,plain,
( ~ doDivides0(xk,xk)
| ~ spl6_726
| spl6_803 ),
inference(superposition,[],[f37362,f26881]) ).
fof(f37362,plain,
( ~ doDivides0(xp,xp)
| spl6_803 ),
inference(avatar_component_clause,[],[f37360]) ).
fof(f41756,plain,
( ~ spl6_908
| ~ spl6_726
| spl6_801 ),
inference(avatar_split_clause,[],[f41513,f37195,f26879,f41753]) ).
fof(f41753,plain,
( spl6_908
<=> sz00 = sdtsldt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_908])]) ).
fof(f41513,plain,
( sz00 != sdtsldt0(xk,xk)
| ~ spl6_726
| spl6_801 ),
inference(superposition,[],[f37196,f26881]) ).
fof(f37196,plain,
( sz00 != sdtsldt0(xp,xp)
| spl6_801 ),
inference(avatar_component_clause,[],[f37195]) ).
fof(f41751,plain,
( ~ spl6_907
| ~ spl6_726
| spl6_800 ),
inference(avatar_split_clause,[],[f41512,f37191,f26879,f41748]) ).
fof(f41748,plain,
( spl6_907
<=> iLess0(sdtsldt0(xk,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_907])]) ).
fof(f41512,plain,
( ~ iLess0(sdtsldt0(xk,xk),sz00)
| ~ spl6_726
| spl6_800 ),
inference(superposition,[],[f37192,f26881]) ).
fof(f41746,plain,
( ~ spl6_906
| ~ spl6_726
| spl6_799 ),
inference(avatar_split_clause,[],[f41511,f37181,f26879,f41743]) ).
fof(f41743,plain,
( spl6_906
<=> sdtlseqdt0(sz00,sdtsldt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_906])]) ).
fof(f41511,plain,
( ~ sdtlseqdt0(sz00,sdtsldt0(xk,xk))
| ~ spl6_726
| spl6_799 ),
inference(superposition,[],[f37183,f26881]) ).
fof(f37183,plain,
( ~ sdtlseqdt0(sz00,sdtsldt0(xp,xp))
| spl6_799 ),
inference(avatar_component_clause,[],[f37181]) ).
fof(f41741,plain,
( ~ spl6_905
| ~ spl6_726
| spl6_798 ),
inference(avatar_split_clause,[],[f41510,f37138,f26879,f41738]) ).
fof(f41738,plain,
( spl6_905
<=> sdtlseqdt0(sdtsldt0(xk,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_905])]) ).
fof(f41510,plain,
( ~ sdtlseqdt0(sdtsldt0(xk,xk),sz00)
| ~ spl6_726
| spl6_798 ),
inference(superposition,[],[f37139,f26881]) ).
fof(f41736,plain,
( spl6_904
| ~ spl6_726
| ~ spl6_749 ),
inference(avatar_split_clause,[],[f41489,f32336,f26879,f41733]) ).
fof(f41733,plain,
( spl6_904
<=> sdtlseqdt0(sz00,sdtasdt0(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_904])]) ).
fof(f32336,plain,
( spl6_749
<=> sdtlseqdt0(sz00,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_749])]) ).
fof(f41489,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xk))
| ~ spl6_726
| ~ spl6_749 ),
inference(superposition,[],[f32338,f26881]) ).
fof(f32338,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xp))
| ~ spl6_749 ),
inference(avatar_component_clause,[],[f32336]) ).
fof(f41731,plain,
( ~ spl6_903
| ~ spl6_726
| spl6_747 ),
inference(avatar_split_clause,[],[f41487,f32322,f26879,f41728]) ).
fof(f41728,plain,
( spl6_903
<=> sdtlseqdt0(sdtasdt0(xr,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_903])]) ).
fof(f41487,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xk),sz00)
| ~ spl6_726
| spl6_747 ),
inference(superposition,[],[f32324,f26881]) ).
fof(f41725,plain,
( spl6_902
| ~ spl6_407
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41437,f26879,f9233,f41722]) ).
fof(f41722,plain,
( spl6_902
<=> doDivides0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_902])]) ).
fof(f9233,plain,
( spl6_407
<=> doDivides0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
fof(f41437,plain,
( doDivides0(xk,xm)
| ~ spl6_407
| ~ spl6_726 ),
inference(superposition,[],[f9235,f26881]) ).
fof(f9235,plain,
( doDivides0(xp,xm)
| ~ spl6_407 ),
inference(avatar_component_clause,[],[f9233]) ).
fof(f41720,plain,
( ~ spl6_901
| spl6_701
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41469,f26879,f23653,f41717]) ).
fof(f41717,plain,
( spl6_901
<=> sz00 = sdtasdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_901])]) ).
fof(f23653,plain,
( spl6_701
<=> sz00 = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_701])]) ).
fof(f41469,plain,
( sz00 != sdtasdt0(xk,xk)
| spl6_701
| ~ spl6_726 ),
inference(superposition,[],[f23655,f26881]) ).
fof(f23655,plain,
( sz00 != sdtasdt0(xp,xk)
| spl6_701 ),
inference(avatar_component_clause,[],[f23653]) ).
fof(f41715,plain,
( ~ spl6_900
| spl6_423
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41440,f26879,f12869,f41712]) ).
fof(f41440,plain,
( xk != sdtasdt0(xk,xk)
| spl6_423
| ~ spl6_726 ),
inference(superposition,[],[f12871,f26881]) ).
fof(f41710,plain,
( ~ spl6_899
| spl6_422
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41439,f26879,f12863,f41707]) ).
fof(f41707,plain,
( spl6_899
<=> sz00 = sdtasdt0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_899])]) ).
fof(f12863,plain,
( spl6_422
<=> sz00 = sdtasdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
fof(f41439,plain,
( sz00 != sdtasdt0(xk,xm)
| spl6_422
| ~ spl6_726 ),
inference(superposition,[],[f12865,f26881]) ).
fof(f12865,plain,
( sz00 != sdtasdt0(xp,xm)
| spl6_422 ),
inference(avatar_component_clause,[],[f12863]) ).
fof(f41704,plain,
( spl6_898
| ~ spl6_284
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41421,f26879,f4714,f41701]) ).
fof(f41701,plain,
( spl6_898
<=> sdtlseqdt0(xm,sdtasdt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_898])]) ).
fof(f4714,plain,
( spl6_284
<=> sdtlseqdt0(xm,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f41421,plain,
( sdtlseqdt0(xm,sdtasdt0(xk,xk))
| ~ spl6_284
| ~ spl6_726 ),
inference(superposition,[],[f4716,f26881]) ).
fof(f4716,plain,
( sdtlseqdt0(xm,sdtasdt0(xk,xp))
| ~ spl6_284 ),
inference(avatar_component_clause,[],[f4714]) ).
fof(f41698,plain,
( ~ spl6_897
| spl6_283
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41420,f26879,f4679,f41695]) ).
fof(f41695,plain,
( spl6_897
<=> sdtlseqdt0(sdtasdt0(xk,xk),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_897])]) ).
fof(f4679,plain,
( spl6_283
<=> sdtlseqdt0(sdtasdt0(xp,xk),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f41420,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xk),xm)
| spl6_283
| ~ spl6_726 ),
inference(superposition,[],[f4680,f26881]) ).
fof(f4680,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xm)
| spl6_283 ),
inference(avatar_component_clause,[],[f4679]) ).
fof(f41693,plain,
( ~ spl6_896
| spl6_282
| ~ spl6_726 ),
inference(avatar_split_clause,[],[f41419,f26879,f4539,f41690]) ).
fof(f41690,plain,
( spl6_896
<=> xm = sdtasdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_896])]) ).
fof(f4539,plain,
( spl6_282
<=> xm = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f41419,plain,
( xm != sdtasdt0(xk,xk)
| spl6_282
| ~ spl6_726 ),
inference(superposition,[],[f4541,f26881]) ).
fof(f4541,plain,
( xm != sdtasdt0(xp,xk)
| spl6_282 ),
inference(avatar_component_clause,[],[f4539]) ).
fof(f41686,plain,
( ~ spl6_895
| ~ spl6_726
| spl6_802 ),
inference(avatar_split_clause,[],[f41514,f37199,f26879,f41683]) ).
fof(f41683,plain,
( spl6_895
<=> aNaturalNumber0(sdtsldt0(xk,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_895])]) ).
fof(f41514,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ spl6_726
| spl6_802 ),
inference(superposition,[],[f37201,f26881]) ).
fof(f37201,plain,
( ~ aNaturalNumber0(sdtsldt0(xp,xp))
| spl6_802 ),
inference(avatar_component_clause,[],[f37199]) ).
fof(f41384,plain,
( spl6_728
| ~ spl6_106
| ~ spl6_186
| ~ spl6_792 ),
inference(avatar_split_clause,[],[f35547,f35543,f2999,f1110,f26888]) ).
fof(f2999,plain,
( spl6_186
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f35547,plain,
( ~ aNaturalNumber0(xk)
| sdtlseqdt0(xk,xp)
| ~ spl6_186
| ~ spl6_792 ),
inference(resolution,[],[f35545,f3000]) ).
fof(f3000,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp) )
| ~ spl6_186 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f35545,plain,
( sdtlseqdt0(xk,xm)
| ~ spl6_792 ),
inference(avatar_component_clause,[],[f35543]) ).
fof(f41383,plain,
( spl6_894
| ~ spl6_320
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25870,f25459,f6216,f41381]) ).
fof(f41381,plain,
( spl6_894
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_894])]) ).
fof(f25870,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),xp) )
| ~ spl6_320
| ~ spl6_717 ),
inference(resolution,[],[f25460,f6217]) ).
fof(f41379,plain,
( spl6_893
| ~ spl6_319
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25869,f25459,f6212,f41377]) ).
fof(f25869,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_319
| ~ spl6_717 ),
inference(resolution,[],[f25460,f6213]) ).
fof(f41375,plain,
( spl6_892
| ~ spl6_318
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25868,f25459,f6208,f41373]) ).
fof(f25868,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),xp) )
| ~ spl6_318
| ~ spl6_717 ),
inference(resolution,[],[f25460,f6209]) ).
fof(f41371,plain,
( spl6_891
| ~ spl6_174
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25834,f25459,f2906,f41369]) ).
fof(f41369,plain,
( spl6_891
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_891])]) ).
fof(f25834,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_174
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2907]) ).
fof(f41367,plain,
( spl6_890
| ~ spl6_172
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25833,f25459,f2875,f41365]) ).
fof(f41365,plain,
( spl6_890
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_890])]) ).
fof(f25833,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz00) )
| ~ spl6_172
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2876]) ).
fof(f41363,plain,
( spl6_889
| ~ spl6_170
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25832,f25459,f2844,f41361]) ).
fof(f41361,plain,
( spl6_889
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_889])]) ).
fof(f25832,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xm),X0)) )
| ~ spl6_170
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2845]) ).
fof(f41359,plain,
( spl6_888
| ~ spl6_168
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25831,f25459,f2813,f41357]) ).
fof(f41357,plain,
( spl6_888
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_888])]) ).
fof(f25831,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz00) )
| ~ spl6_168
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2814]) ).
fof(f41355,plain,
( spl6_887
| ~ spl6_153
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25826,f25459,f2572,f41352]) ).
fof(f41352,plain,
( spl6_887
<=> sdtpldt0(sdtasdt0(xm,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_887])]) ).
fof(f25826,plain,
( sdtpldt0(sdtasdt0(xm,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xm))
| ~ spl6_153
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2573]) ).
fof(f41350,plain,
( spl6_886
| ~ spl6_148
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25824,f25459,f2178,f41347]) ).
fof(f41347,plain,
( spl6_886
<=> sdtasdt0(sdtasdt0(xm,xm),xr) = sdtasdt0(xr,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_886])]) ).
fof(f25824,plain,
( sdtasdt0(sdtasdt0(xm,xm),xr) = sdtasdt0(xr,sdtasdt0(xm,xm))
| ~ spl6_148
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2179]) ).
fof(f41345,plain,
( spl6_885
| ~ spl6_147
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25823,f25459,f2174,f41342]) ).
fof(f25823,plain,
( sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xp,sdtasdt0(xm,xm))
| ~ spl6_147
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2175]) ).
fof(f41339,plain,
( ~ spl6_738
| ~ spl6_291
| spl6_681 ),
inference(avatar_split_clause,[],[f23711,f22847,f5713,f29780]) ).
fof(f22847,plain,
( spl6_681
<=> sdtlseqdt0(sdtasdt0(xp,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_681])]) ).
fof(f23711,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),xr)
| ~ spl6_291
| spl6_681 ),
inference(superposition,[],[f22849,f5714]) ).
fof(f22849,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xr)
| spl6_681 ),
inference(avatar_component_clause,[],[f22847]) ).
fof(f41338,plain,
( spl6_884
| ~ spl6_146
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25822,f25459,f2170,f41335]) ).
fof(f41335,plain,
( spl6_884
<=> sdtasdt0(sdtasdt0(xm,xm),xm) = sdtasdt0(xm,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_884])]) ).
fof(f25822,plain,
( sdtasdt0(sdtasdt0(xm,xm),xm) = sdtasdt0(xm,sdtasdt0(xm,xm))
| ~ spl6_146
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2171]) ).
fof(f41333,plain,
( spl6_883
| ~ spl6_145
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25821,f25459,f2166,f41330]) ).
fof(f41330,plain,
( spl6_883
<=> sdtasdt0(sdtasdt0(xm,xm),xn) = sdtasdt0(xn,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_883])]) ).
fof(f25821,plain,
( sdtasdt0(sdtasdt0(xm,xm),xn) = sdtasdt0(xn,sdtasdt0(xm,xm))
| ~ spl6_145
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2167]) ).
fof(f41328,plain,
( spl6_882
| ~ spl6_144
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25820,f25459,f2162,f41325]) ).
fof(f41325,plain,
( spl6_882
<=> sdtpldt0(sdtasdt0(xm,xm),xr) = sdtpldt0(xr,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_882])]) ).
fof(f25820,plain,
( sdtpldt0(sdtasdt0(xm,xm),xr) = sdtpldt0(xr,sdtasdt0(xm,xm))
| ~ spl6_144
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2163]) ).
fof(f41323,plain,
( spl6_881
| ~ spl6_143
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25819,f25459,f2158,f41320]) ).
fof(f41320,plain,
( spl6_881
<=> sdtpldt0(sdtasdt0(xm,xm),xp) = sdtpldt0(xp,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_881])]) ).
fof(f25819,plain,
( sdtpldt0(sdtasdt0(xm,xm),xp) = sdtpldt0(xp,sdtasdt0(xm,xm))
| ~ spl6_143
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2159]) ).
fof(f41318,plain,
( spl6_880
| ~ spl6_142
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25818,f25459,f2154,f41315]) ).
fof(f41315,plain,
( spl6_880
<=> sdtpldt0(sdtasdt0(xm,xm),xm) = sdtpldt0(xm,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_880])]) ).
fof(f25818,plain,
( sdtpldt0(sdtasdt0(xm,xm),xm) = sdtpldt0(xm,sdtasdt0(xm,xm))
| ~ spl6_142
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2155]) ).
fof(f41313,plain,
( spl6_879
| ~ spl6_140
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25817,f25459,f2145,f41310]) ).
fof(f41310,plain,
( spl6_879
<=> sdtpldt0(sdtasdt0(xm,xm),xn) = sdtpldt0(xn,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_879])]) ).
fof(f25817,plain,
( sdtpldt0(sdtasdt0(xm,xm),xn) = sdtpldt0(xn,sdtasdt0(xm,xm))
| ~ spl6_140
| ~ spl6_717 ),
inference(resolution,[],[f25460,f2146]) ).
fof(f41308,plain,
( spl6_878
| ~ spl6_320
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25378,f25308,f6216,f41306]) ).
fof(f41306,plain,
( spl6_878
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_878])]) ).
fof(f25378,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),xp) )
| ~ spl6_320
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6217]) ).
fof(f41304,plain,
( spl6_877
| ~ spl6_319
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25377,f25308,f6212,f41302]) ).
fof(f41302,plain,
( spl6_877
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_877])]) ).
fof(f25377,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_319
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6213]) ).
fof(f41300,plain,
( spl6_876
| ~ spl6_318
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25376,f25308,f6208,f41298]) ).
fof(f41298,plain,
( spl6_876
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_876])]) ).
fof(f25376,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),xp) )
| ~ spl6_318
| ~ spl6_716 ),
inference(resolution,[],[f25310,f6209]) ).
fof(f41296,plain,
( spl6_875
| ~ spl6_174
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25342,f25308,f2906,f41294]) ).
fof(f41294,plain,
( spl6_875
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_875])]) ).
fof(f25342,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_174
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2907]) ).
fof(f41292,plain,
( spl6_874
| ~ spl6_39
| ~ spl6_106
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f23345,f2567,f1110,f441,f41289]) ).
fof(f41289,plain,
( spl6_874
<=> xk = sdtpldt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_874])]) ).
fof(f441,plain,
( spl6_39
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f2567,plain,
( spl6_152
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f23345,plain,
( xk = sdtpldt0(sz00,xk)
| ~ spl6_39
| ~ spl6_106
| ~ spl6_152 ),
inference(forward_demodulation,[],[f9159,f9176]) ).
fof(f9176,plain,
( xk = sdtpldt0(xk,sz00)
| ~ spl6_39
| ~ spl6_106
| ~ spl6_152 ),
inference(forward_demodulation,[],[f9159,f4470]) ).
fof(f4470,plain,
( xk = sdtpldt0(sz00,xk)
| ~ spl6_39
| ~ spl6_106 ),
inference(resolution,[],[f1111,f442]) ).
fof(f442,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f9159,plain,
( sdtpldt0(xk,sz00) = sdtpldt0(sz00,xk)
| ~ spl6_106
| ~ spl6_152 ),
inference(resolution,[],[f2568,f1111]) ).
fof(f2568,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f41287,plain,
( spl6_873
| ~ spl6_172
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25341,f25308,f2875,f41285]) ).
fof(f41285,plain,
( spl6_873
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_873])]) ).
fof(f25341,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xk,xm),X0),sz00) )
| ~ spl6_172
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2876]) ).
fof(f41283,plain,
( spl6_872
| ~ spl6_170
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25340,f25308,f2844,f41281]) ).
fof(f41281,plain,
( spl6_872
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xk,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_872])]) ).
fof(f25340,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xk,xm),X0)) )
| ~ spl6_170
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2845]) ).
fof(f41279,plain,
( spl6_871
| ~ spl6_168
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25339,f25308,f2813,f41277]) ).
fof(f41277,plain,
( spl6_871
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_871])]) ).
fof(f25339,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xk,xm),X0),sz00) )
| ~ spl6_168
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2814]) ).
fof(f41275,plain,
( spl6_870
| ~ spl6_153
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25334,f25308,f2572,f41272]) ).
fof(f41272,plain,
( spl6_870
<=> sdtpldt0(sdtasdt0(xk,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_870])]) ).
fof(f25334,plain,
( sdtpldt0(sdtasdt0(xk,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xk,xm))
| ~ spl6_153
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2573]) ).
fof(f41270,plain,
( spl6_869
| ~ spl6_148
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25332,f25308,f2178,f41267]) ).
fof(f41267,plain,
( spl6_869
<=> sdtasdt0(sdtasdt0(xk,xm),xr) = sdtasdt0(xr,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_869])]) ).
fof(f25332,plain,
( sdtasdt0(sdtasdt0(xk,xm),xr) = sdtasdt0(xr,sdtasdt0(xk,xm))
| ~ spl6_148
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2179]) ).
fof(f41265,plain,
( spl6_868
| ~ spl6_147
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25331,f25308,f2174,f41262]) ).
fof(f41262,plain,
( spl6_868
<=> sdtasdt0(sdtasdt0(xk,xm),xp) = sdtasdt0(xp,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_868])]) ).
fof(f25331,plain,
( sdtasdt0(sdtasdt0(xk,xm),xp) = sdtasdt0(xp,sdtasdt0(xk,xm))
| ~ spl6_147
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2175]) ).
fof(f41260,plain,
( spl6_867
| ~ spl6_146
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25330,f25308,f2170,f41257]) ).
fof(f41257,plain,
( spl6_867
<=> sdtasdt0(sdtasdt0(xk,xm),xm) = sdtasdt0(xm,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_867])]) ).
fof(f25330,plain,
( sdtasdt0(sdtasdt0(xk,xm),xm) = sdtasdt0(xm,sdtasdt0(xk,xm))
| ~ spl6_146
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2171]) ).
fof(f41255,plain,
( spl6_866
| ~ spl6_145
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25329,f25308,f2166,f41252]) ).
fof(f41252,plain,
( spl6_866
<=> sdtasdt0(sdtasdt0(xk,xm),xn) = sdtasdt0(xn,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_866])]) ).
fof(f25329,plain,
( sdtasdt0(sdtasdt0(xk,xm),xn) = sdtasdt0(xn,sdtasdt0(xk,xm))
| ~ spl6_145
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2167]) ).
fof(f41250,plain,
( spl6_865
| ~ spl6_144
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25328,f25308,f2162,f41247]) ).
fof(f41247,plain,
( spl6_865
<=> sdtpldt0(sdtasdt0(xk,xm),xr) = sdtpldt0(xr,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_865])]) ).
fof(f25328,plain,
( sdtpldt0(sdtasdt0(xk,xm),xr) = sdtpldt0(xr,sdtasdt0(xk,xm))
| ~ spl6_144
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2163]) ).
fof(f41245,plain,
( spl6_864
| ~ spl6_143
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25327,f25308,f2158,f41242]) ).
fof(f41242,plain,
( spl6_864
<=> sdtpldt0(sdtasdt0(xk,xm),xp) = sdtpldt0(xp,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_864])]) ).
fof(f25327,plain,
( sdtpldt0(sdtasdt0(xk,xm),xp) = sdtpldt0(xp,sdtasdt0(xk,xm))
| ~ spl6_143
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2159]) ).
fof(f41240,plain,
( spl6_863
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f23344,f2576,f1110,f428,f41237]) ).
fof(f41237,plain,
( spl6_863
<=> sz00 = sdtasdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_863])]) ).
fof(f428,plain,
( spl6_36
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f2576,plain,
( spl6_154
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f23344,plain,
( sz00 = sdtasdt0(sz00,xk)
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154 ),
inference(forward_demodulation,[],[f9194,f9211]) ).
fof(f9211,plain,
( sz00 = sdtasdt0(xk,sz00)
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154 ),
inference(forward_demodulation,[],[f9194,f4468]) ).
fof(f4468,plain,
( sz00 = sdtasdt0(sz00,xk)
| ~ spl6_36
| ~ spl6_106 ),
inference(resolution,[],[f1111,f429]) ).
fof(f429,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f9194,plain,
( sdtasdt0(xk,sz00) = sdtasdt0(sz00,xk)
| ~ spl6_106
| ~ spl6_154 ),
inference(resolution,[],[f2577,f1111]) ).
fof(f2577,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl6_154 ),
inference(avatar_component_clause,[],[f2576]) ).
fof(f41235,plain,
( spl6_862
| ~ spl6_142
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25326,f25308,f2154,f41232]) ).
fof(f41232,plain,
( spl6_862
<=> sdtpldt0(sdtasdt0(xk,xm),xm) = sdtpldt0(xm,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_862])]) ).
fof(f25326,plain,
( sdtpldt0(sdtasdt0(xk,xm),xm) = sdtpldt0(xm,sdtasdt0(xk,xm))
| ~ spl6_142
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2155]) ).
fof(f41230,plain,
( spl6_861
| ~ spl6_140
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25325,f25308,f2145,f41227]) ).
fof(f41227,plain,
( spl6_861
<=> sdtpldt0(sdtasdt0(xk,xm),xn) = sdtpldt0(xn,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_861])]) ).
fof(f25325,plain,
( sdtpldt0(sdtasdt0(xk,xm),xn) = sdtpldt0(xn,sdtasdt0(xk,xm))
| ~ spl6_140
| ~ spl6_716 ),
inference(resolution,[],[f25310,f2146]) ).
fof(f41225,plain,
( spl6_860
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f24302,f2906,f2170,f1066,f280,f41223]) ).
fof(f41223,plain,
( spl6_860
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_860])]) ).
fof(f24302,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_174 ),
inference(forward_demodulation,[],[f9425,f2500]) ).
fof(f9425,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_174 ),
inference(resolution,[],[f2907,f1067]) ).
fof(f41221,plain,
( spl6_859
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f24301,f2844,f2170,f1066,f280,f41219]) ).
fof(f41219,plain,
( spl6_859
<=> ! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_859])]) ).
fof(f24301,plain,
( ! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_170 ),
inference(forward_demodulation,[],[f9348,f2500]) ).
fof(f9348,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_170 ),
inference(resolution,[],[f2845,f1067]) ).
fof(f41217,plain,
( spl6_858
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_320 ),
inference(avatar_split_clause,[],[f24263,f6216,f2170,f1066,f280,f41215]) ).
fof(f24263,plain,
( ! [X0] :
( xp = sdtasdt0(sdtpldt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_320 ),
inference(forward_demodulation,[],[f6309,f2500]) ).
fof(f6309,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),xp) )
| ~ spl6_98
| ~ spl6_320 ),
inference(resolution,[],[f6217,f1067]) ).
fof(f41213,plain,
( spl6_857
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f24262,f6212,f2170,f1066,f280,f41211]) ).
fof(f41211,plain,
( spl6_857
<=> ! [X0] :
( xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_857])]) ).
fof(f24262,plain,
( ! [X0] :
( xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_319 ),
inference(forward_demodulation,[],[f6287,f2500]) ).
fof(f6287,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_319 ),
inference(resolution,[],[f6213,f1067]) ).
fof(f41209,plain,
( spl6_856
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_318 ),
inference(avatar_split_clause,[],[f24261,f6208,f2170,f1066,f280,f41207]) ).
fof(f24261,plain,
( ! [X0] :
( xp = sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X0),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_318 ),
inference(forward_demodulation,[],[f6265,f2500]) ).
fof(f6265,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),xp) )
| ~ spl6_98
| ~ spl6_318 ),
inference(resolution,[],[f6209,f1067]) ).
fof(f41205,plain,
( spl6_855
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_317 ),
inference(avatar_split_clause,[],[f24260,f6204,f2170,f1066,f280,f41203]) ).
fof(f41203,plain,
( spl6_855
<=> ! [X0] :
( xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_855])]) ).
fof(f6204,plain,
( spl6_317
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f24260,plain,
( ! [X0] :
( xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xp),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_98
| ~ spl6_146
| ~ spl6_317 ),
inference(forward_demodulation,[],[f6243,f2500]) ).
fof(f6243,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xp,xm),X0)) )
| ~ spl6_98
| ~ spl6_317 ),
inference(resolution,[],[f6205,f1067]) ).
fof(f6205,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtasdt0(X1,X0)) )
| ~ spl6_317 ),
inference(avatar_component_clause,[],[f6204]) ).
fof(f41201,plain,
( spl6_854
| ~ spl6_291
| ~ spl6_303 ),
inference(avatar_split_clause,[],[f23704,f5906,f5713,f41198]) ).
fof(f41198,plain,
( spl6_854
<=> sdtasdt0(xn,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xn,xm),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_854])]) ).
fof(f5906,plain,
( spl6_303
<=> sdtasdt0(xp,xk) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xk),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f23704,plain,
( sdtasdt0(xn,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xn,xm),xm))
| ~ spl6_291
| ~ spl6_303 ),
inference(superposition,[],[f5908,f5714]) ).
fof(f5908,plain,
( sdtasdt0(xp,xk) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xk),xm))
| ~ spl6_303 ),
inference(avatar_component_clause,[],[f5906]) ).
fof(f41196,plain,
( spl6_853
| ~ spl6_291
| ~ spl6_302 ),
inference(avatar_split_clause,[],[f23703,f5877,f5713,f41193]) ).
fof(f41193,plain,
( spl6_853
<=> sdtasdt0(xn,xm) = sdtpldt0(xm,sK5(xm,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_853])]) ).
fof(f5877,plain,
( spl6_302
<=> sdtasdt0(xp,xk) = sdtpldt0(xm,sK5(xm,sdtasdt0(xp,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f23703,plain,
( sdtasdt0(xn,xm) = sdtpldt0(xm,sK5(xm,sdtasdt0(xn,xm)))
| ~ spl6_291
| ~ spl6_302 ),
inference(superposition,[],[f5879,f5714]) ).
fof(f5879,plain,
( sdtasdt0(xp,xk) = sdtpldt0(xm,sK5(xm,sdtasdt0(xp,xk)))
| ~ spl6_302 ),
inference(avatar_component_clause,[],[f5877]) ).
fof(f41166,plain,
( spl6_125
| ~ spl6_7
| ~ spl6_110
| ~ spl6_127
| ~ spl6_657 ),
inference(avatar_split_clause,[],[f40534,f21850,f1899,f1130,f285,f1245]) ).
fof(f1130,plain,
( spl6_110
<=> xm = sdtpldt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f1899,plain,
( spl6_127
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f21850,plain,
( spl6_657
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(xm,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_657])]) ).
fof(f40534,plain,
( sz00 = xm
| ~ spl6_7
| ~ spl6_110
| ~ spl6_127
| ~ spl6_657 ),
inference(forward_demodulation,[],[f40533,f1132]) ).
fof(f1132,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_110 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f40533,plain,
( sz00 = sdtpldt0(xm,sz00)
| ~ spl6_7
| ~ spl6_127
| ~ spl6_657 ),
inference(forward_demodulation,[],[f40507,f1901]) ).
fof(f1901,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_127 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f40507,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(xm,sdtasdt0(sz00,sz00))
| ~ spl6_7
| ~ spl6_657 ),
inference(resolution,[],[f21851,f287]) ).
fof(f21851,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(xm,sdtasdt0(sz00,X0)) )
| ~ spl6_657 ),
inference(avatar_component_clause,[],[f21850]) ).
fof(f40506,plain,
( spl6_125
| ~ spl6_7
| ~ spl6_110
| ~ spl6_130
| ~ spl6_654 ),
inference(avatar_split_clause,[],[f40475,f21836,f1917,f1130,f285,f1245]) ).
fof(f1917,plain,
( spl6_130
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f21836,plain,
( spl6_654
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(xm,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_654])]) ).
fof(f40475,plain,
( sz00 = xm
| ~ spl6_7
| ~ spl6_110
| ~ spl6_130
| ~ spl6_654 ),
inference(forward_demodulation,[],[f40474,f1132]) ).
fof(f40474,plain,
( sz00 = sdtpldt0(xm,sz00)
| ~ spl6_7
| ~ spl6_130
| ~ spl6_654 ),
inference(forward_demodulation,[],[f40448,f1919]) ).
fof(f1919,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_130 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f40448,plain,
( sdtpldt0(sz00,sz00) = sdtpldt0(xm,sdtpldt0(sz00,sz00))
| ~ spl6_7
| ~ spl6_654 ),
inference(resolution,[],[f21837,f287]) ).
fof(f21837,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(xm,sdtpldt0(sz00,X0)) )
| ~ spl6_654 ),
inference(avatar_component_clause,[],[f21836]) ).
fof(f39651,plain,
( spl6_852
| ~ spl6_7
| ~ spl6_36
| ~ spl6_134
| ~ spl6_522 ),
inference(avatar_split_clause,[],[f16705,f16576,f1952,f428,f285,f39648]) ).
fof(f16705,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ spl6_7
| ~ spl6_36
| ~ spl6_134
| ~ spl6_522 ),
inference(forward_demodulation,[],[f16689,f2355]) ).
fof(f2355,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm))
| ~ spl6_36
| ~ spl6_134 ),
inference(resolution,[],[f1953,f429]) ).
fof(f16689,plain,
( sdtasdt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(sz00,sdtasdt0(xn,xm)),xr)
| ~ spl6_7
| ~ spl6_522 ),
inference(resolution,[],[f16577,f287]) ).
fof(f39646,plain,
( spl6_851
| ~ spl6_134
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f9427,f2906,f1952,f39644]) ).
fof(f39644,plain,
( spl6_851
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_851])]) ).
fof(f9427,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_174 ),
inference(resolution,[],[f2907,f1953]) ).
fof(f39642,plain,
( spl6_850
| ~ spl6_134
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f9390,f2875,f1952,f39640]) ).
fof(f39640,plain,
( spl6_850
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_850])]) ).
fof(f9390,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) )
| ~ spl6_134
| ~ spl6_172 ),
inference(resolution,[],[f2876,f1953]) ).
fof(f39637,plain,
( spl6_849
| ~ spl6_98
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f9388,f2875,f1066,f39635]) ).
fof(f39635,plain,
( spl6_849
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_849])]) ).
fof(f9388,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00) )
| ~ spl6_98
| ~ spl6_172 ),
inference(resolution,[],[f2876,f1067]) ).
fof(f39633,plain,
( spl6_848
| ~ spl6_134
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f9350,f2844,f1952,f39631]) ).
fof(f39631,plain,
( spl6_848
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_848])]) ).
fof(f9350,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_170 ),
inference(resolution,[],[f2845,f1953]) ).
fof(f39629,plain,
( spl6_847
| ~ spl6_134
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f9313,f2813,f1952,f39627]) ).
fof(f39627,plain,
( spl6_847
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_847])]) ).
fof(f9313,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) )
| ~ spl6_134
| ~ spl6_168 ),
inference(resolution,[],[f2814,f1953]) ).
fof(f39624,plain,
( spl6_846
| ~ spl6_98
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f9311,f2813,f1066,f39622]) ).
fof(f39622,plain,
( spl6_846
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_846])]) ).
fof(f9311,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sz00) )
| ~ spl6_98
| ~ spl6_168 ),
inference(resolution,[],[f2814,f1067]) ).
fof(f39620,plain,
( spl6_695
| ~ spl6_4
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f9056,f8741,f270,f23135]) ).
fof(f23135,plain,
( spl6_695
<=> sdtasdt0(xn,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xn,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_695])]) ).
fof(f9056,plain,
( sdtasdt0(xn,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xn,xk),xr)
| ~ spl6_4
| ~ spl6_398 ),
inference(resolution,[],[f8742,f272]) ).
fof(f39619,plain,
( spl6_845
| ~ spl6_134
| ~ spl6_318 ),
inference(avatar_split_clause,[],[f6267,f6208,f1952,f39617]) ).
fof(f39617,plain,
( spl6_845
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_845])]) ).
fof(f6267,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),xp) )
| ~ spl6_134
| ~ spl6_318 ),
inference(resolution,[],[f6209,f1953]) ).
fof(f39615,plain,
( spl6_844
| ~ spl6_7
| ~ spl6_186
| ~ spl6_418 ),
inference(avatar_split_clause,[],[f14091,f11974,f2999,f285,f39612]) ).
fof(f11974,plain,
( spl6_418
<=> sdtlseqdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
fof(f14091,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xp)
| ~ spl6_186
| ~ spl6_418 ),
inference(resolution,[],[f11976,f3000]) ).
fof(f11976,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl6_418 ),
inference(avatar_component_clause,[],[f11974]) ).
fof(f39610,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_843
| ~ spl6_14
| ~ spl6_224 ),
inference(avatar_split_clause,[],[f3456,f3450,f320,f39607,f1110,f260]) ).
fof(f39607,plain,
( spl6_843
<=> xm = sdtasdt0(xm,sK4(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_843])]) ).
fof(f3450,plain,
( spl6_224
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f3456,plain,
( xm = sdtasdt0(xm,sK4(xr,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_224 ),
inference(resolution,[],[f3451,f322]) ).
fof(f3451,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| xm = sdtasdt0(xm,sK4(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_224 ),
inference(avatar_component_clause,[],[f3450]) ).
fof(f39605,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_842
| ~ spl6_14
| ~ spl6_222 ),
inference(avatar_split_clause,[],[f3431,f3425,f320,f39602,f1110,f260]) ).
fof(f39602,plain,
( spl6_842
<=> xm = sdtasdt0(sK4(xr,xk),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_842])]) ).
fof(f3425,plain,
( spl6_222
<=> ! [X0,X1] :
( xm = sdtasdt0(sK4(X0,X1),xm)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f3431,plain,
( xm = sdtasdt0(sK4(xr,xk),xm)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_222 ),
inference(resolution,[],[f3426,f322]) ).
fof(f3426,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| xm = sdtasdt0(sK4(X0,X1),xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_222 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f39599,plain,
( spl6_841
| ~ spl6_98
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2596,f2572,f1066,f39596]) ).
fof(f39596,plain,
( spl6_841
<=> sdtpldt0(sdtasdt0(xp,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_841])]) ).
fof(f2596,plain,
( sdtpldt0(sdtasdt0(xp,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_153 ),
inference(resolution,[],[f2573,f1067]) ).
fof(f39593,plain,
( spl6_840
| ~ spl6_98
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f2544,f2178,f1066,f39590]) ).
fof(f39590,plain,
( spl6_840
<=> sdtasdt0(sdtasdt0(xp,xm),xr) = sdtasdt0(xr,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_840])]) ).
fof(f2544,plain,
( sdtasdt0(sdtasdt0(xp,xm),xr) = sdtasdt0(xr,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_148 ),
inference(resolution,[],[f2179,f1067]) ).
fof(f39588,plain,
( spl6_839
| ~ spl6_134
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2519,f2174,f1952,f39585]) ).
fof(f39585,plain,
( spl6_839
<=> sdtasdt0(sdtasdt0(xn,xm),xp) = sdtasdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_839])]) ).
fof(f2519,plain,
( sdtasdt0(sdtasdt0(xn,xm),xp) = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_147 ),
inference(resolution,[],[f2175,f1953]) ).
fof(f39582,plain,
( spl6_838
| ~ spl6_98
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f2518,f2174,f1066,f39579]) ).
fof(f39579,plain,
( spl6_838
<=> sdtasdt0(sdtasdt0(xp,xm),xp) = sdtasdt0(xp,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_838])]) ).
fof(f2518,plain,
( sdtasdt0(sdtasdt0(xp,xm),xp) = sdtasdt0(xp,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_147 ),
inference(resolution,[],[f2175,f1067]) ).
fof(f39576,plain,
( spl6_837
| ~ spl6_98
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f2494,f2170,f1066,f39573]) ).
fof(f39573,plain,
( spl6_837
<=> sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_837])]) ).
fof(f2494,plain,
( sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xm,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_146 ),
inference(resolution,[],[f2171,f1067]) ).
fof(f39570,plain,
( spl6_836
| ~ spl6_98
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f2468,f2166,f1066,f39567]) ).
fof(f39567,plain,
( spl6_836
<=> sdtasdt0(sdtasdt0(xp,xm),xn) = sdtasdt0(xn,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_836])]) ).
fof(f2468,plain,
( sdtasdt0(sdtasdt0(xp,xm),xn) = sdtasdt0(xn,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_145 ),
inference(resolution,[],[f2167,f1067]) ).
fof(f39559,plain,
( spl6_835
| ~ spl6_98
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f2441,f2162,f1066,f39556]) ).
fof(f39556,plain,
( spl6_835
<=> sdtpldt0(sdtasdt0(xp,xm),xr) = sdtpldt0(xr,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_835])]) ).
fof(f2441,plain,
( sdtpldt0(sdtasdt0(xp,xm),xr) = sdtpldt0(xr,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_144 ),
inference(resolution,[],[f2163,f1067]) ).
fof(f39456,plain,
( spl6_834
| ~ spl6_106
| ~ spl6_5
| spl6_132
| ~ spl6_203
| spl6_775 ),
inference(avatar_split_clause,[],[f33676,f33670,f3170,f1929,f275,f1110,f39453]) ).
fof(f39453,plain,
( spl6_834
<=> iLess0(xk,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_834])]) ).
fof(f3170,plain,
( spl6_203
<=> ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f33676,plain,
( xm = xk
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| iLess0(xk,xm)
| ~ spl6_203
| spl6_775 ),
inference(resolution,[],[f33672,f3171]) ).
fof(f3171,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| iLess0(X0,X1) )
| ~ spl6_203 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f39451,plain,
( spl6_833
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_708 ),
inference(avatar_split_clause,[],[f24551,f24416,f2170,f1956,f280,f39449]) ).
fof(f39449,plain,
( spl6_833
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_833])]) ).
fof(f24416,plain,
( spl6_708
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_708])]) ).
fof(f24551,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_708 ),
inference(forward_demodulation,[],[f24550,f2500]) ).
fof(f24550,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_135
| ~ spl6_708 ),
inference(duplicate_literal_removal,[],[f24512]) ).
fof(f24512,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_135
| ~ spl6_708 ),
inference(resolution,[],[f1957,f24417]) ).
fof(f24417,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_708 ),
inference(avatar_component_clause,[],[f24416]) ).
fof(f39411,plain,
( spl6_832
| ~ spl6_291
| ~ spl6_686 ),
inference(avatar_split_clause,[],[f38938,f22872,f5713,f39408]) ).
fof(f39408,plain,
( spl6_832
<=> iLess0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_832])]) ).
fof(f22872,plain,
( spl6_686
<=> iLess0(xr,sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_686])]) ).
fof(f38938,plain,
( iLess0(xr,sdtasdt0(xn,xm))
| ~ spl6_291
| ~ spl6_686 ),
inference(forward_demodulation,[],[f22874,f5714]) ).
fof(f22874,plain,
( iLess0(xr,sdtasdt0(xp,xk))
| ~ spl6_686 ),
inference(avatar_component_clause,[],[f22872]) ).
fof(f39359,plain,
( ~ spl6_5
| ~ spl6_2
| spl6_125
| spl6_394
| ~ spl6_636
| ~ spl6_93
| spl6_782 ),
inference(avatar_split_clause,[],[f34585,f34506,f1021,f21363,f8701,f1245,f260,f275]) ).
fof(f8701,plain,
( spl6_394
<=> xm = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f21363,plain,
( spl6_636
<=> sdtlseqdt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_636])]) ).
fof(f34506,plain,
( spl6_782
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_782])]) ).
fof(f34585,plain,
( ~ sdtlseqdt0(xm,xr)
| xm = xr
| sz00 = xm
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl6_93
| spl6_782 ),
inference(duplicate_literal_removal,[],[f34577]) ).
fof(f34577,plain,
( ~ sdtlseqdt0(xm,xr)
| xm = xr
| sz00 = xm
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_93
| spl6_782 ),
inference(resolution,[],[f34507,f1022]) ).
fof(f34507,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xr,xm))
| spl6_782 ),
inference(avatar_component_clause,[],[f34506]) ).
fof(f39353,plain,
( ~ spl6_21
| ~ spl6_394
| spl6_775 ),
inference(avatar_split_clause,[],[f39228,f33670,f8701,f355]) ).
fof(f355,plain,
( spl6_21
<=> sdtlseqdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f39228,plain,
( ~ sdtlseqdt0(xr,xk)
| ~ spl6_394
| spl6_775 ),
inference(superposition,[],[f33672,f8703]) ).
fof(f8703,plain,
( xm = xr
| ~ spl6_394 ),
inference(avatar_component_clause,[],[f8701]) ).
fof(f38927,plain,
( ~ spl6_5
| ~ spl6_2
| ~ spl6_636
| spl6_394
| ~ spl6_66
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f5356,f4405,f678,f8701,f21363,f260,f275]) ).
fof(f4405,plain,
( spl6_279
<=> sdtlseqdt0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f5356,plain,
( xm = xr
| ~ sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl6_66
| ~ spl6_279 ),
inference(resolution,[],[f4406,f679]) ).
fof(f4406,plain,
( sdtlseqdt0(xr,xm)
| ~ spl6_279 ),
inference(avatar_component_clause,[],[f4405]) ).
fof(f38691,plain,
( spl6_831
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154 ),
inference(avatar_split_clause,[],[f9211,f2576,f1110,f428,f38688]) ).
fof(f38688,plain,
( spl6_831
<=> sz00 = sdtasdt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_831])]) ).
fof(f38127,plain,
( spl6_830
| ~ spl6_39
| ~ spl6_106
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f9176,f2567,f1110,f441,f38124]) ).
fof(f38124,plain,
( spl6_830
<=> xk = sdtpldt0(xk,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_830])]) ).
fof(f37533,plain,
( spl6_829
| ~ spl6_41
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f8575,f1110,f449,f37530]) ).
fof(f8575,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_41
| ~ spl6_106 ),
inference(resolution,[],[f1111,f450]) ).
fof(f37528,plain,
( spl6_828
| ~ spl6_41
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33368,f29837,f449,f37525]) ).
fof(f37525,plain,
( spl6_828
<=> sdtasdt0(xn,xk) = sdtasdt0(sz10,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_828])]) ).
fof(f37523,plain,
( spl6_827
| ~ spl6_40
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33367,f29837,f445,f37520]) ).
fof(f37520,plain,
( spl6_827
<=> sdtasdt0(xn,xk) = sdtasdt0(sdtasdt0(xn,xk),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_827])]) ).
fof(f33367,plain,
( sdtasdt0(xn,xk) = sdtasdt0(sdtasdt0(xn,xk),sz10)
| ~ spl6_40
| ~ spl6_741 ),
inference(resolution,[],[f29838,f446]) ).
fof(f37518,plain,
( spl6_826
| ~ spl6_39
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33366,f29837,f441,f37515]) ).
fof(f37515,plain,
( spl6_826
<=> sdtasdt0(xn,xk) = sdtpldt0(sz00,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_826])]) ).
fof(f33366,plain,
( sdtasdt0(xn,xk) = sdtpldt0(sz00,sdtasdt0(xn,xk))
| ~ spl6_39
| ~ spl6_741 ),
inference(resolution,[],[f29838,f442]) ).
fof(f37513,plain,
( spl6_825
| ~ spl6_37
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33365,f29837,f432,f37510]) ).
fof(f37510,plain,
( spl6_825
<=> sdtasdt0(xn,xk) = sdtpldt0(sdtasdt0(xn,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_825])]) ).
fof(f33365,plain,
( sdtasdt0(xn,xk) = sdtpldt0(sdtasdt0(xn,xk),sz00)
| ~ spl6_37
| ~ spl6_741 ),
inference(resolution,[],[f29838,f433]) ).
fof(f37508,plain,
( spl6_824
| ~ spl6_41
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32461,f32332,f449,f37505]) ).
fof(f37505,plain,
( spl6_824
<=> sdtasdt0(xr,xp) = sdtasdt0(sz10,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_824])]) ).
fof(f32461,plain,
( sdtasdt0(xr,xp) = sdtasdt0(sz10,sdtasdt0(xr,xp))
| ~ spl6_41
| ~ spl6_748 ),
inference(resolution,[],[f32333,f450]) ).
fof(f37503,plain,
( spl6_823
| ~ spl6_40
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32460,f32332,f445,f37500]) ).
fof(f37500,plain,
( spl6_823
<=> sdtasdt0(xr,xp) = sdtasdt0(sdtasdt0(xr,xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_823])]) ).
fof(f32460,plain,
( sdtasdt0(xr,xp) = sdtasdt0(sdtasdt0(xr,xp),sz10)
| ~ spl6_40
| ~ spl6_748 ),
inference(resolution,[],[f32333,f446]) ).
fof(f37498,plain,
( spl6_822
| ~ spl6_39
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32459,f32332,f441,f37495]) ).
fof(f37495,plain,
( spl6_822
<=> sdtasdt0(xr,xp) = sdtpldt0(sz00,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_822])]) ).
fof(f32459,plain,
( sdtasdt0(xr,xp) = sdtpldt0(sz00,sdtasdt0(xr,xp))
| ~ spl6_39
| ~ spl6_748 ),
inference(resolution,[],[f32333,f442]) ).
fof(f37493,plain,
( spl6_821
| ~ spl6_37
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32458,f32332,f432,f37490]) ).
fof(f37490,plain,
( spl6_821
<=> sdtasdt0(xr,xp) = sdtpldt0(sdtasdt0(xr,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_821])]) ).
fof(f32458,plain,
( sdtasdt0(xr,xp) = sdtpldt0(sdtasdt0(xr,xp),sz00)
| ~ spl6_37
| ~ spl6_748 ),
inference(resolution,[],[f32333,f433]) ).
fof(f37488,plain,
( spl6_820
| ~ spl6_8
| ~ spl6_124
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f32279,f32252,f1200,f290,f37485]) ).
fof(f1200,plain,
( spl6_124
<=> xr = sdtasdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f32279,plain,
( sdtsldt0(xr,xr) = sdtasdt0(sz10,sdtsldt0(xr,xr))
| ~ spl6_8
| ~ spl6_124
| ~ spl6_746 ),
inference(forward_demodulation,[],[f32256,f1202]) ).
fof(f1202,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl6_124 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f32256,plain,
( sdtasdt0(sz10,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(sz10,xr),xr)
| ~ spl6_8
| ~ spl6_746 ),
inference(resolution,[],[f32253,f292]) ).
fof(f37483,plain,
( spl6_819
| ~ spl6_7
| ~ spl6_108
| ~ spl6_746 ),
inference(avatar_split_clause,[],[f32278,f32252,f1120,f285,f37480]) ).
fof(f37480,plain,
( spl6_819
<=> sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_819])]) ).
fof(f1120,plain,
( spl6_108
<=> sz00 = sdtasdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f32278,plain,
( sdtsldt0(sz00,xr) = sdtasdt0(sz00,sdtsldt0(xr,xr))
| ~ spl6_7
| ~ spl6_108
| ~ spl6_746 ),
inference(forward_demodulation,[],[f32255,f1122]) ).
fof(f1122,plain,
( sz00 = sdtasdt0(sz00,xr)
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f32255,plain,
( sdtasdt0(sz00,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(sz00,xr),xr)
| ~ spl6_7
| ~ spl6_746 ),
inference(resolution,[],[f32253,f287]) ).
fof(f37478,plain,
( spl6_818
| ~ spl6_40
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f8574,f1110,f445,f37475]) ).
fof(f37475,plain,
( spl6_818
<=> xk = sdtasdt0(xk,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_818])]) ).
fof(f8574,plain,
( xk = sdtasdt0(xk,sz10)
| ~ spl6_40
| ~ spl6_106 ),
inference(resolution,[],[f1111,f446]) ).
fof(f37473,plain,
( spl6_817
| ~ spl6_7
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f32056,f8741,f2576,f1110,f428,f285,f37470]) ).
fof(f37470,plain,
( spl6_817
<=> sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_817])]) ).
fof(f32056,plain,
( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sz00,xr)
| ~ spl6_7
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9047,f23344]) ).
fof(f9047,plain,
( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz00,xk),xr)
| ~ spl6_7
| ~ spl6_398 ),
inference(resolution,[],[f8742,f287]) ).
fof(f37468,plain,
( spl6_816
| ~ spl6_41
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27295,f24736,f449,f37465]) ).
fof(f37465,plain,
( spl6_816
<=> sdtasdt0(xm,xp) = sdtasdt0(sz10,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_816])]) ).
fof(f27295,plain,
( sdtasdt0(xm,xp) = sdtasdt0(sz10,sdtasdt0(xm,xp))
| ~ spl6_41
| ~ spl6_709 ),
inference(resolution,[],[f24737,f450]) ).
fof(f37463,plain,
( spl6_815
| ~ spl6_40
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27294,f24736,f445,f37460]) ).
fof(f37460,plain,
( spl6_815
<=> sdtasdt0(xm,xp) = sdtasdt0(sdtasdt0(xm,xp),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_815])]) ).
fof(f37458,plain,
( spl6_814
| ~ spl6_39
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27293,f24736,f441,f37455]) ).
fof(f37455,plain,
( spl6_814
<=> sdtasdt0(xm,xp) = sdtpldt0(sz00,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_814])]) ).
fof(f27293,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sz00,sdtasdt0(xm,xp))
| ~ spl6_39
| ~ spl6_709 ),
inference(resolution,[],[f24737,f442]) ).
fof(f37453,plain,
( spl6_813
| ~ spl6_37
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27292,f24736,f432,f37450]) ).
fof(f37410,plain,
( spl6_812
| ~ spl6_134
| ~ spl6_475
| ~ spl6_731 ),
inference(avatar_split_clause,[],[f27132,f27122,f14832,f1952,f37407]) ).
fof(f27132,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),xk)
| ~ spl6_475
| ~ spl6_731 ),
inference(resolution,[],[f27123,f14834]) ).
fof(f37405,plain,
( spl6_811
| ~ spl6_41
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25810,f25459,f449,f37402]) ).
fof(f37402,plain,
( spl6_811
<=> sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_811])]) ).
fof(f25810,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm))
| ~ spl6_41
| ~ spl6_717 ),
inference(resolution,[],[f25460,f450]) ).
fof(f37400,plain,
( spl6_810
| ~ spl6_40
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25809,f25459,f445,f37397]) ).
fof(f37397,plain,
( spl6_810
<=> sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_810])]) ).
fof(f37395,plain,
( spl6_809
| ~ spl6_39
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25808,f25459,f441,f37392]) ).
fof(f37392,plain,
( spl6_809
<=> sdtasdt0(xm,xm) = sdtpldt0(sz00,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_809])]) ).
fof(f25808,plain,
( sdtasdt0(xm,xm) = sdtpldt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_39
| ~ spl6_717 ),
inference(resolution,[],[f25460,f442]) ).
fof(f37388,plain,
( spl6_808
| ~ spl6_37
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25807,f25459,f432,f37385]) ).
fof(f37383,plain,
( spl6_807
| ~ spl6_41
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25318,f25308,f449,f37380]) ).
fof(f37380,plain,
( spl6_807
<=> sdtasdt0(xk,xm) = sdtasdt0(sz10,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_807])]) ).
fof(f25318,plain,
( sdtasdt0(xk,xm) = sdtasdt0(sz10,sdtasdt0(xk,xm))
| ~ spl6_41
| ~ spl6_716 ),
inference(resolution,[],[f25310,f450]) ).
fof(f37378,plain,
( spl6_806
| ~ spl6_40
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25317,f25308,f445,f37375]) ).
fof(f37375,plain,
( spl6_806
<=> sdtasdt0(xk,xm) = sdtasdt0(sdtasdt0(xk,xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_806])]) ).
fof(f37373,plain,
( spl6_805
| ~ spl6_39
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25316,f25308,f441,f37370]) ).
fof(f37370,plain,
( spl6_805
<=> sdtasdt0(xk,xm) = sdtpldt0(sz00,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_805])]) ).
fof(f25316,plain,
( sdtasdt0(xk,xm) = sdtpldt0(sz00,sdtasdt0(xk,xm))
| ~ spl6_39
| ~ spl6_716 ),
inference(resolution,[],[f25310,f442]) ).
fof(f37368,plain,
( spl6_804
| ~ spl6_37
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25315,f25308,f432,f37365]) ).
fof(f37365,plain,
( spl6_804
<=> sdtasdt0(xk,xm) = sdtpldt0(sdtasdt0(xk,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_804])]) ).
fof(f37363,plain,
( ~ spl6_6
| spl6_280
| ~ spl6_803
| ~ spl6_72
| spl6_802 ),
inference(avatar_split_clause,[],[f37204,f37199,f752,f37360,f4415,f280]) ).
fof(f752,plain,
( spl6_72
<=> ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f37204,plain,
( ~ doDivides0(xp,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl6_72
| spl6_802 ),
inference(duplicate_literal_removal,[],[f37203]) ).
fof(f37203,plain,
( ~ doDivides0(xp,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_72
| spl6_802 ),
inference(resolution,[],[f37201,f753]) ).
fof(f753,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f37355,plain,
( spl6_590
| ~ spl6_97
| ~ spl6_147
| ~ spl6_291
| ~ spl6_598 ),
inference(avatar_split_clause,[],[f37293,f20695,f5713,f2174,f1062,f20273]) ).
fof(f20273,plain,
( spl6_590
<=> xp = sdtasdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_590])]) ).
fof(f20695,plain,
( spl6_598
<=> xp = sdtasdt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_598])]) ).
fof(f37293,plain,
( xp = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_97
| ~ spl6_147
| ~ spl6_291
| ~ spl6_598 ),
inference(forward_demodulation,[],[f23588,f20697]) ).
fof(f20697,plain,
( xp = sdtasdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_598 ),
inference(avatar_component_clause,[],[f20695]) ).
fof(f23588,plain,
( sdtasdt0(sdtasdt0(xn,xm),xp) = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_97
| ~ spl6_147
| ~ spl6_291 ),
inference(forward_demodulation,[],[f4562,f5714]) ).
fof(f4562,plain,
( sdtasdt0(sdtasdt0(xp,xk),xp) = sdtasdt0(xp,sdtasdt0(xp,xk))
| ~ spl6_97
| ~ spl6_147 ),
inference(resolution,[],[f1063,f2175]) ).
fof(f37291,plain,
( spl6_799
| ~ spl6_291
| ~ spl6_702
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f37275,f33292,f23868,f5713,f37181]) ).
fof(f33292,plain,
( spl6_765
<=> sdtasdt0(xp,xk) = sdtsldt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_765])]) ).
fof(f37275,plain,
( sdtlseqdt0(sz00,sdtsldt0(xp,xp))
| ~ spl6_291
| ~ spl6_702
| ~ spl6_765 ),
inference(forward_demodulation,[],[f23869,f34906]) ).
fof(f34906,plain,
( sdtasdt0(xn,xm) = sdtsldt0(xp,xp)
| ~ spl6_291
| ~ spl6_765 ),
inference(superposition,[],[f33294,f5714]) ).
fof(f33294,plain,
( sdtasdt0(xp,xk) = sdtsldt0(xp,xp)
| ~ spl6_765 ),
inference(avatar_component_clause,[],[f33292]) ).
fof(f37284,plain,
( ~ spl6_798
| ~ spl6_291
| spl6_700
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f37283,f33292,f23648,f5713,f37138]) ).
fof(f37283,plain,
( ~ sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| ~ spl6_291
| spl6_700
| ~ spl6_765 ),
inference(forward_demodulation,[],[f23649,f34906]) ).
fof(f37205,plain,
( ~ spl6_418
| ~ spl6_7
| spl6_702
| ~ spl6_708 ),
inference(avatar_split_clause,[],[f24460,f24416,f23868,f285,f11974]) ).
fof(f24460,plain,
( ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xm)
| spl6_702
| ~ spl6_708 ),
inference(resolution,[],[f24417,f23870]) ).
fof(f23870,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| spl6_702 ),
inference(avatar_component_clause,[],[f23868]) ).
fof(f37202,plain,
( ~ spl6_7
| spl6_800
| spl6_801
| ~ spl6_802
| ~ spl6_64
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f36816,f33292,f23648,f5713,f668,f37199,f37195,f37191,f285]) ).
fof(f36816,plain,
( ~ aNaturalNumber0(sdtsldt0(xp,xp))
| sz00 = sdtsldt0(xp,xp)
| iLess0(sdtsldt0(xp,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl6_64
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(forward_demodulation,[],[f36815,f34906]) ).
fof(f36815,plain,
( sz00 = sdtsldt0(xp,xp)
| iLess0(sdtsldt0(xp,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_64
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(forward_demodulation,[],[f36814,f34906]) ).
fof(f36814,plain,
( iLess0(sdtsldt0(xp,xp),sz00)
| sz00 = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_64
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(forward_demodulation,[],[f23657,f34906]) ).
fof(f23657,plain,
( iLess0(sdtasdt0(xn,xm),sz00)
| sz00 = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_64
| ~ spl6_700 ),
inference(resolution,[],[f23650,f669]) ).
fof(f23650,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_700 ),
inference(avatar_component_clause,[],[f23648]) ).
fof(f37184,plain,
( ~ spl6_799
| ~ spl6_291
| spl6_702
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f36893,f33292,f23868,f5713,f37181]) ).
fof(f36893,plain,
( ~ sdtlseqdt0(sz00,sdtsldt0(xp,xp))
| ~ spl6_291
| spl6_702
| ~ spl6_765 ),
inference(forward_demodulation,[],[f23870,f34906]) ).
fof(f37141,plain,
( spl6_798
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f36813,f33292,f23648,f5713,f37138]) ).
fof(f36813,plain,
( sdtlseqdt0(sdtsldt0(xp,xp),sz00)
| ~ spl6_291
| ~ spl6_700
| ~ spl6_765 ),
inference(forward_demodulation,[],[f23650,f34906]) ).
fof(f36812,plain,
( spl6_747
| ~ spl6_700
| ~ spl6_773 ),
inference(avatar_split_clause,[],[f36811,f33335,f23648,f32322]) ).
fof(f33335,plain,
( spl6_773
<=> sdtasdt0(xn,xm) = sdtasdt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_773])]) ).
fof(f36811,plain,
( sdtlseqdt0(sdtasdt0(xr,xp),sz00)
| ~ spl6_700
| ~ spl6_773 ),
inference(forward_demodulation,[],[f23650,f33337]) ).
fof(f33337,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,xp)
| ~ spl6_773 ),
inference(avatar_component_clause,[],[f33335]) ).
fof(f36713,plain,
( spl6_700
| ~ spl6_134
| ~ spl6_26
| ~ spl6_704 ),
inference(avatar_split_clause,[],[f24730,f24249,f385,f1952,f23648]) ).
fof(f385,plain,
( spl6_26
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f24249,plain,
( spl6_704
<=> ! [X0] :
( sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_704])]) ).
fof(f24730,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_26
| ~ spl6_704 ),
inference(duplicate_literal_removal,[],[f24700]) ).
fof(f24700,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_26
| ~ spl6_704 ),
inference(resolution,[],[f24250,f386]) ).
fof(f386,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f24250,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sz00) )
| ~ spl6_704 ),
inference(avatar_component_clause,[],[f24249]) ).
fof(f36282,plain,
( spl6_797
| ~ spl6_290
| ~ spl6_765 ),
inference(avatar_split_clause,[],[f34911,f33292,f5517,f36279]) ).
fof(f34911,plain,
( sP1(sdtsldt0(xp,xp))
| ~ spl6_290
| ~ spl6_765 ),
inference(superposition,[],[f5519,f33294]) ).
fof(f35859,plain,
( ~ spl6_796
| ~ spl6_6
| ~ spl6_146
| spl6_795 ),
inference(avatar_split_clause,[],[f35854,f35850,f2170,f280,f35856]) ).
fof(f35850,plain,
( spl6_795
<=> sdtlseqdt0(sdtasdt0(xp,xm),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_795])]) ).
fof(f35854,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xp),xm)
| ~ spl6_6
| ~ spl6_146
| spl6_795 ),
inference(forward_demodulation,[],[f35852,f2500]) ).
fof(f35852,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),xm)
| spl6_795 ),
inference(avatar_component_clause,[],[f35850]) ).
fof(f35853,plain,
( ~ spl6_795
| ~ spl6_98
| spl6_33
| ~ spl6_298 ),
inference(avatar_split_clause,[],[f12883,f5802,f414,f1066,f35850]) ).
fof(f5802,plain,
( spl6_298
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f12883,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xm)
| spl6_33
| ~ spl6_298 ),
inference(resolution,[],[f416,f5803]) ).
fof(f5803,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_298 ),
inference(avatar_component_clause,[],[f5802]) ).
fof(f35848,plain,
( spl6_794
| ~ spl6_8
| ~ spl6_41
| ~ spl6_106
| ~ spl6_155
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f9067,f8741,f2581,f1110,f449,f290,f35845]) ).
fof(f9067,plain,
( sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr))
| ~ spl6_8
| ~ spl6_41
| ~ spl6_106
| ~ spl6_155
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9048,f8326]) ).
fof(f8326,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_41
| ~ spl6_106
| ~ spl6_155 ),
inference(forward_demodulation,[],[f4488,f4525]) ).
fof(f4525,plain,
( xk = sdtasdt0(xk,sz10)
| ~ spl6_41
| ~ spl6_106
| ~ spl6_155 ),
inference(forward_demodulation,[],[f4488,f4472]) ).
fof(f4472,plain,
( xk = sdtasdt0(sz10,xk)
| ~ spl6_41
| ~ spl6_106 ),
inference(resolution,[],[f1111,f450]) ).
fof(f4488,plain,
( sdtasdt0(xk,sz10) = sdtasdt0(sz10,xk)
| ~ spl6_106
| ~ spl6_155 ),
inference(resolution,[],[f1111,f2582]) ).
fof(f9048,plain,
( sdtasdt0(sz10,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz10,xk),xr)
| ~ spl6_8
| ~ spl6_398 ),
inference(resolution,[],[f8742,f292]) ).
fof(f35816,plain,
( spl6_793
| ~ spl6_704
| ~ spl6_708 ),
inference(avatar_split_clause,[],[f24734,f24416,f24249,f35814]) ).
fof(f24734,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_704
| ~ spl6_708 ),
inference(duplicate_literal_removal,[],[f24696]) ).
fof(f24696,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_704
| ~ spl6_708 ),
inference(resolution,[],[f24250,f24417]) ).
fof(f35812,plain,
( ~ spl6_792
| spl6_132
| ~ spl6_106
| spl6_283
| ~ spl6_404 ),
inference(avatar_split_clause,[],[f9119,f9090,f4679,f1110,f1929,f35543]) ).
fof(f9090,plain,
( spl6_404
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
fof(f9119,plain,
( ~ aNaturalNumber0(xk)
| xm = xk
| ~ sdtlseqdt0(xk,xm)
| spl6_283
| ~ spl6_404 ),
inference(resolution,[],[f9091,f4680]) ).
fof(f9091,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_404 ),
inference(avatar_component_clause,[],[f9090]) ).
fof(f35546,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_792
| ~ spl6_45
| spl6_775 ),
inference(avatar_split_clause,[],[f33677,f33670,f516,f35543,f1110,f275]) ).
fof(f33677,plain,
( sdtlseqdt0(xk,xm)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_45
| spl6_775 ),
inference(resolution,[],[f33672,f517]) ).
fof(f35541,plain,
( spl6_791
| ~ spl6_36
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33364,f29837,f428,f35538]) ).
fof(f35538,plain,
( spl6_791
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_791])]) ).
fof(f33364,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xk))
| ~ spl6_36
| ~ spl6_741 ),
inference(resolution,[],[f29838,f429]) ).
fof(f35536,plain,
( spl6_790
| ~ spl6_35
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33363,f29837,f424,f35533]) ).
fof(f35533,plain,
( spl6_790
<=> sz00 = sdtasdt0(sdtasdt0(xn,xk),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_790])]) ).
fof(f35525,plain,
( spl6_608
| ~ spl6_2
| ~ spl6_393
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f33345,f8741,f8697,f260,f21010]) ).
fof(f33345,plain,
( xk = sdtsldt0(sdtasdt0(xr,xk),xr)
| ~ spl6_2
| ~ spl6_393
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9060,f8699]) ).
fof(f9060,plain,
( sdtasdt0(xr,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xr,xk),xr)
| ~ spl6_2
| ~ spl6_398 ),
inference(resolution,[],[f8742,f262]) ).
fof(f35524,plain,
( spl6_789
| ~ spl6_2
| ~ spl6_746
| ~ spl6_770 ),
inference(avatar_split_clause,[],[f33340,f33320,f32252,f260,f35521]) ).
fof(f35521,plain,
( spl6_789
<=> xr = sdtsldt0(sdtasdt0(xr,xr),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_789])]) ).
fof(f33320,plain,
( spl6_770
<=> xr = sdtasdt0(xr,sdtsldt0(xr,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_770])]) ).
fof(f33340,plain,
( xr = sdtsldt0(sdtasdt0(xr,xr),xr)
| ~ spl6_2
| ~ spl6_746
| ~ spl6_770 ),
inference(forward_demodulation,[],[f32273,f33322]) ).
fof(f33322,plain,
( xr = sdtasdt0(xr,sdtsldt0(xr,xr))
| ~ spl6_770 ),
inference(avatar_component_clause,[],[f33320]) ).
fof(f34978,plain,
( spl6_788
| ~ spl6_23
| ~ spl6_750 ),
inference(avatar_split_clause,[],[f32657,f32431,f365,f34975]) ).
fof(f34975,plain,
( spl6_788
<=> sP1(sdtasdt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_788])]) ).
fof(f365,plain,
( spl6_23
<=> ! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f32431,plain,
( spl6_750
<=> aNaturalNumber0(sdtasdt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_750])]) ).
fof(f32657,plain,
( sP1(sdtasdt0(xr,xm))
| ~ spl6_23
| ~ spl6_750 ),
inference(resolution,[],[f32433,f366]) ).
fof(f366,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sP1(X0) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f32433,plain,
( aNaturalNumber0(sdtasdt0(xr,xm))
| ~ spl6_750 ),
inference(avatar_component_clause,[],[f32431]) ).
fof(f34681,plain,
( spl6_787
| ~ spl6_36
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32457,f32332,f428,f34678]) ).
fof(f34678,plain,
( spl6_787
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_787])]) ).
fof(f32457,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xr,xp))
| ~ spl6_36
| ~ spl6_748 ),
inference(resolution,[],[f32333,f429]) ).
fof(f34676,plain,
( spl6_786
| ~ spl6_35
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32456,f32332,f424,f34673]) ).
fof(f34673,plain,
( spl6_786
<=> sz00 = sdtasdt0(sdtasdt0(xr,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_786])]) ).
fof(f34629,plain,
( spl6_785
| ~ spl6_7
| ~ spl6_702
| ~ spl6_710 ),
inference(avatar_split_clause,[],[f32059,f24740,f23868,f285,f34626]) ).
fof(f34626,plain,
( spl6_785
<=> sdtlseqdt0(sz00,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_785])]) ).
fof(f24740,plain,
( spl6_710
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_710])]) ).
fof(f32059,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ~ spl6_702
| ~ spl6_710 ),
inference(resolution,[],[f23869,f24741]) ).
fof(f24741,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtasdt0(xm,xp)) )
| ~ spl6_710 ),
inference(avatar_component_clause,[],[f24740]) ).
fof(f34590,plain,
( ~ spl6_784
| ~ spl6_106
| ~ spl6_146
| spl6_415 ),
inference(avatar_split_clause,[],[f34576,f11653,f2170,f1110,f34587]) ).
fof(f34576,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| spl6_415 ),
inference(forward_demodulation,[],[f11655,f4484]) ).
fof(f11655,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xk))
| spl6_415 ),
inference(avatar_component_clause,[],[f11653]) ).
fof(f34559,plain,
( ~ spl6_717
| ~ spl6_750
| spl6_783
| ~ spl6_75
| ~ spl6_782 ),
inference(avatar_split_clause,[],[f34520,f34506,f814,f34557,f32431,f25459]) ).
fof(f34557,plain,
( spl6_783
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_783])]) ).
fof(f34520,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_782 ),
inference(resolution,[],[f34508,f815]) ).
fof(f34508,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xr,xm))
| ~ spl6_782 ),
inference(avatar_component_clause,[],[f34506]) ).
fof(f34509,plain,
( spl6_782
| ~ spl6_106
| ~ spl6_146
| ~ spl6_159
| ~ spl6_415 ),
inference(avatar_split_clause,[],[f34498,f11653,f2690,f2170,f1110,f34506]) ).
fof(f2690,plain,
( spl6_159
<=> xk = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f34498,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xr,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_159
| ~ spl6_415 ),
inference(forward_demodulation,[],[f34497,f2692]) ).
fof(f2692,plain,
( xk = xr
| ~ spl6_159 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f34477,plain,
( spl6_781
| ~ spl6_132
| ~ spl6_159
| ~ spl6_418 ),
inference(avatar_split_clause,[],[f33929,f11974,f2690,f1929,f34474]) ).
fof(f34474,plain,
( spl6_781
<=> sdtlseqdt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_781])]) ).
fof(f33929,plain,
( sdtlseqdt0(sz00,xr)
| ~ spl6_132
| ~ spl6_159
| ~ spl6_418 ),
inference(forward_demodulation,[],[f29962,f2692]) ).
fof(f29962,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl6_132
| ~ spl6_418 ),
inference(forward_demodulation,[],[f11976,f1930]) ).
fof(f34336,plain,
( spl6_780
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_147
| ~ spl6_159
| ~ spl6_293 ),
inference(avatar_split_clause,[],[f33962,f5743,f2690,f2174,f2166,f1929,f260,f34333]) ).
fof(f33962,plain,
( sdtlseqdt0(sdtasdt0(xr,xp),sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_147
| ~ spl6_159
| ~ spl6_293 ),
inference(forward_demodulation,[],[f33961,f2525]) ).
fof(f33961,plain,
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_159
| ~ spl6_293 ),
inference(forward_demodulation,[],[f33960,f2475]) ).
fof(f33960,plain,
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xn,xr))
| ~ spl6_132
| ~ spl6_159
| ~ spl6_293 ),
inference(forward_demodulation,[],[f30831,f2692]) ).
fof(f34331,plain,
( spl6_779
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_159
| ~ spl6_291
| ~ spl6_293 ),
inference(avatar_split_clause,[],[f33938,f5743,f5713,f2690,f2166,f1929,f260,f34328]) ).
fof(f34328,plain,
( spl6_779
<=> sdtlseqdt0(sdtasdt0(xr,xn),sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_779])]) ).
fof(f33938,plain,
( sdtlseqdt0(sdtasdt0(xr,xn),sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_159
| ~ spl6_291
| ~ spl6_293 ),
inference(forward_demodulation,[],[f33937,f2475]) ).
fof(f33937,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ~ spl6_132
| ~ spl6_159
| ~ spl6_291
| ~ spl6_293 ),
inference(forward_demodulation,[],[f30833,f2692]) ).
fof(f34284,plain,
( spl6_778
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_159
| ~ spl6_702 ),
inference(avatar_split_clause,[],[f34015,f23868,f2690,f2166,f1929,f260,f34281]) ).
fof(f34281,plain,
( spl6_778
<=> sdtlseqdt0(sz00,sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_778])]) ).
fof(f34015,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_132
| ~ spl6_145
| ~ spl6_159
| ~ spl6_702 ),
inference(forward_demodulation,[],[f34014,f2475]) ).
fof(f34014,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ~ spl6_132
| ~ spl6_159
| ~ spl6_702 ),
inference(forward_demodulation,[],[f29826,f2692]) ).
fof(f33868,plain,
( ~ spl6_636
| ~ spl6_159
| spl6_775 ),
inference(avatar_split_clause,[],[f33843,f33670,f2690,f21363]) ).
fof(f33843,plain,
( ~ sdtlseqdt0(xm,xr)
| ~ spl6_159
| spl6_775 ),
inference(superposition,[],[f33672,f2692]) ).
fof(f33692,plain,
( ~ spl6_279
| ~ spl6_160
| spl6_696 ),
inference(avatar_split_clause,[],[f33628,f23140,f2694,f4405]) ).
fof(f23140,plain,
( spl6_696
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_696])]) ).
fof(f33628,plain,
( ~ sdtlseqdt0(xr,xm)
| ~ spl6_160
| spl6_696 ),
inference(superposition,[],[f23142,f2696]) ).
fof(f23142,plain,
( ~ sdtlseqdt0(sz10,xm)
| spl6_696 ),
inference(avatar_component_clause,[],[f23140]) ).
fof(f33689,plain,
( spl6_777
| ~ spl6_23
| ~ spl6_741 ),
inference(avatar_split_clause,[],[f33362,f29837,f365,f33686]) ).
fof(f33686,plain,
( spl6_777
<=> sP1(sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_777])]) ).
fof(f33362,plain,
( sP1(sdtasdt0(xn,xk))
| ~ spl6_23
| ~ spl6_741 ),
inference(resolution,[],[f29838,f366]) ).
fof(f33683,plain,
( spl6_776
| ~ spl6_23
| ~ spl6_748 ),
inference(avatar_split_clause,[],[f32455,f32332,f365,f33680]) ).
fof(f33680,plain,
( spl6_776
<=> sP1(sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_776])]) ).
fof(f32455,plain,
( sP1(sdtasdt0(xr,xp))
| ~ spl6_23
| ~ spl6_748 ),
inference(resolution,[],[f32333,f366]) ).
fof(f33673,plain,
( ~ spl6_5
| ~ spl6_106
| spl6_125
| spl6_132
| ~ spl6_775
| ~ spl6_92
| spl6_415 ),
inference(avatar_split_clause,[],[f11663,f11653,f1017,f33670,f1929,f1245,f1110,f275]) ).
fof(f11663,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xm
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_92
| spl6_415 ),
inference(duplicate_literal_removal,[],[f11657]) ).
fof(f11657,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xm
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_92
| spl6_415 ),
inference(resolution,[],[f11655,f1018]) ).
fof(f33593,plain,
( spl6_774
| ~ spl6_106
| ~ spl6_146
| ~ spl6_296 ),
inference(avatar_split_clause,[],[f31497,f5791,f2170,f1110,f33590]) ).
fof(f33590,plain,
( spl6_774
<=> iLess0(xm,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_774])]) ).
fof(f5791,plain,
( spl6_296
<=> iLess0(xm,sdtasdt0(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f31497,plain,
( iLess0(xm,sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_296 ),
inference(forward_demodulation,[],[f5793,f4484]) ).
fof(f5793,plain,
( iLess0(xm,sdtasdt0(xm,xk))
| ~ spl6_296 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f33338,plain,
( spl6_773
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f30925,f5713,f2690,f2174,f260,f33335]) ).
fof(f30925,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,xp)
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_291 ),
inference(forward_demodulation,[],[f30869,f2525]) ).
fof(f30869,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xr)
| ~ spl6_159
| ~ spl6_291 ),
inference(superposition,[],[f5714,f2692]) ).
fof(f33333,plain,
( spl6_772
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_289 ),
inference(avatar_split_clause,[],[f30921,f5502,f2690,f2174,f260,f33330]) ).
fof(f33330,plain,
( spl6_772
<=> sdtlseqdt0(sdtasdt0(xr,xp),sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_772])]) ).
fof(f30921,plain,
( sdtlseqdt0(sdtasdt0(xr,xp),sdtasdt0(xr,xp))
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_289 ),
inference(forward_demodulation,[],[f30867,f2525]) ).
fof(f30867,plain,
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))
| ~ spl6_159
| ~ spl6_289 ),
inference(superposition,[],[f5504,f2692]) ).
fof(f33328,plain,
( spl6_771
| ~ spl6_159
| ~ spl6_718 ),
inference(avatar_split_clause,[],[f30900,f25463,f2690,f33325]) ).
fof(f33325,plain,
( spl6_771
<=> sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_771])]) ).
fof(f30900,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xm,xm))
| ~ spl6_159
| ~ spl6_718 ),
inference(superposition,[],[f25465,f2692]) ).
fof(f25465,plain,
( sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm))
| ~ spl6_718 ),
inference(avatar_component_clause,[],[f25463]) ).
fof(f33323,plain,
( spl6_770
| ~ spl6_159
| ~ spl6_393 ),
inference(avatar_split_clause,[],[f30879,f8697,f2690,f33320]) ).
fof(f30879,plain,
( xr = sdtasdt0(xr,sdtsldt0(xr,xr))
| ~ spl6_159
| ~ spl6_393 ),
inference(superposition,[],[f8699,f2692]) ).
fof(f33317,plain,
( spl6_769
| ~ spl6_23
| ~ spl6_676 ),
inference(avatar_split_clause,[],[f29314,f22563,f365,f33314]) ).
fof(f33314,plain,
( spl6_769
<=> sP1(sdtasdt0(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_769])]) ).
fof(f22563,plain,
( spl6_676
<=> aNaturalNumber0(sdtasdt0(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_676])]) ).
fof(f29314,plain,
( sP1(sdtasdt0(xr,xk))
| ~ spl6_23
| ~ spl6_676 ),
inference(resolution,[],[f22564,f366]) ).
fof(f22564,plain,
( aNaturalNumber0(sdtasdt0(xr,xk))
| ~ spl6_676 ),
inference(avatar_component_clause,[],[f22563]) ).
fof(f33311,plain,
( spl6_768
| ~ spl6_159
| ~ spl6_388 ),
inference(avatar_split_clause,[],[f30877,f8334,f2690,f33308]) ).
fof(f33308,plain,
( spl6_768
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_768])]) ).
fof(f8334,plain,
( spl6_388
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f30877,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,xp))
| ~ spl6_159
| ~ spl6_388 ),
inference(superposition,[],[f8336,f2692]) ).
fof(f8336,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xk,xp))
| ~ spl6_388 ),
inference(avatar_component_clause,[],[f8334]) ).
fof(f33306,plain,
( spl6_767
| ~ spl6_36
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27291,f24736,f428,f33303]) ).
fof(f33303,plain,
( spl6_767
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_767])]) ).
fof(f27291,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xp))
| ~ spl6_36
| ~ spl6_709 ),
inference(resolution,[],[f24737,f429]) ).
fof(f33301,plain,
( spl6_766
| ~ spl6_35
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27290,f24736,f424,f33298]) ).
fof(f33298,plain,
( spl6_766
<=> sz00 = sdtasdt0(sdtasdt0(xm,xp),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_766])]) ).
fof(f33295,plain,
( spl6_765
| ~ spl6_6
| ~ spl6_590
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26239,f26209,f20273,f280,f33292]) ).
fof(f26239,plain,
( sdtasdt0(xp,xk) = sdtsldt0(xp,xp)
| ~ spl6_6
| ~ spl6_590
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26225,f20275]) ).
fof(f20275,plain,
( xp = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_590 ),
inference(avatar_component_clause,[],[f20273]) ).
fof(f33290,plain,
( spl6_764
| ~ spl6_36
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25806,f25459,f428,f33287]) ).
fof(f33287,plain,
( spl6_764
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_764])]) ).
fof(f25806,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xm))
| ~ spl6_36
| ~ spl6_717 ),
inference(resolution,[],[f25460,f429]) ).
fof(f33285,plain,
( spl6_763
| ~ spl6_35
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25805,f25459,f424,f33282]) ).
fof(f33279,plain,
( spl6_762
| ~ spl6_36
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25314,f25308,f428,f33276]) ).
fof(f33276,plain,
( spl6_762
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_762])]) ).
fof(f25314,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xk,xm))
| ~ spl6_36
| ~ spl6_716 ),
inference(resolution,[],[f25310,f429]) ).
fof(f33273,plain,
( spl6_761
| ~ spl6_35
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25313,f25308,f424,f33270]) ).
fof(f33270,plain,
( spl6_761
<=> sz00 = sdtasdt0(sdtasdt0(xk,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_761])]) ).
fof(f33226,plain,
( spl6_760
| ~ spl6_23
| ~ spl6_634 ),
inference(avatar_split_clause,[],[f26940,f21264,f365,f33223]) ).
fof(f26940,plain,
( sP1(sdtmndt0(xp,xm))
| ~ spl6_23
| ~ spl6_634 ),
inference(resolution,[],[f21265,f366]) ).
fof(f33221,plain,
( ~ spl6_2
| spl6_759
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f24568,f4399,f2170,f1956,f280,f33218,f260]) ).
fof(f4399,plain,
( spl6_278
<=> sdtlseqdt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f24568,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xr)
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_278 ),
inference(forward_demodulation,[],[f24530,f2500]) ).
fof(f24530,plain,
( ~ aNaturalNumber0(xr)
| sdtlseqdt0(xr,sdtasdt0(xp,xm))
| ~ spl6_135
| ~ spl6_278 ),
inference(resolution,[],[f1957,f4401]) ).
fof(f4401,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ spl6_278 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f33170,plain,
( ~ spl6_6
| spl6_758
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_276 ),
inference(avatar_split_clause,[],[f24567,f4384,f2170,f1956,f280,f33167,f280]) ).
fof(f33167,plain,
( spl6_758
<=> sdtlseqdt0(xp,sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_758])]) ).
fof(f4384,plain,
( spl6_276
<=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f24567,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_276 ),
inference(forward_demodulation,[],[f24529,f2500]) ).
fof(f24529,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,sdtasdt0(xp,xm))
| ~ spl6_135
| ~ spl6_276 ),
inference(resolution,[],[f1957,f4386]) ).
fof(f4386,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_276 ),
inference(avatar_component_clause,[],[f4384]) ).
fof(f33058,plain,
( ~ spl6_757
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| spl6_283 ),
inference(avatar_split_clause,[],[f31120,f4679,f2690,f2174,f260,f33055]) ).
fof(f33055,plain,
( spl6_757
<=> sdtlseqdt0(sdtasdt0(xr,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_757])]) ).
fof(f31120,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xp),xm)
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| spl6_283 ),
inference(forward_demodulation,[],[f30865,f2525]) ).
fof(f30865,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xr),xm)
| ~ spl6_159
| spl6_283 ),
inference(superposition,[],[f4680,f2692]) ).
fof(f33053,plain,
( ~ spl6_756
| ~ spl6_2
| ~ spl6_145
| ~ spl6_159
| spl6_740 ),
inference(avatar_split_clause,[],[f30999,f29833,f2690,f2166,f260,f33050]) ).
fof(f33050,plain,
( spl6_756
<=> sdtlseqdt0(xr,sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_756])]) ).
fof(f29833,plain,
( spl6_740
<=> sdtlseqdt0(xr,sdtasdt0(xn,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_740])]) ).
fof(f30999,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_145
| ~ spl6_159
| spl6_740 ),
inference(forward_demodulation,[],[f30909,f2475]) ).
fof(f30909,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ~ spl6_159
| spl6_740 ),
inference(superposition,[],[f29835,f2692]) ).
fof(f29835,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xk))
| spl6_740 ),
inference(avatar_component_clause,[],[f29833]) ).
fof(f33048,plain,
( ~ spl6_755
| ~ spl6_159
| spl6_715 ),
inference(avatar_split_clause,[],[f30898,f25296,f2690,f33045]) ).
fof(f33045,plain,
( spl6_755
<=> sdtlseqdt0(xm,sdtasdt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_755])]) ).
fof(f30898,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xr,xm))
| ~ spl6_159
| spl6_715 ),
inference(superposition,[],[f25298,f2692]) ).
fof(f33043,plain,
( ~ spl6_754
| ~ spl6_159
| spl6_701 ),
inference(avatar_split_clause,[],[f30897,f23653,f2690,f33040]) ).
fof(f33040,plain,
( spl6_754
<=> sz00 = sdtasdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_754])]) ).
fof(f30897,plain,
( sz00 != sdtasdt0(xp,xr)
| ~ spl6_159
| spl6_701 ),
inference(superposition,[],[f23655,f2692]) ).
fof(f33038,plain,
( ~ spl6_753
| ~ spl6_159
| spl6_423 ),
inference(avatar_split_clause,[],[f30886,f12869,f2690,f33035]) ).
fof(f33035,plain,
( spl6_753
<=> xp = sdtasdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_753])]) ).
fof(f30886,plain,
( xp != sdtasdt0(xp,xr)
| ~ spl6_159
| spl6_423 ),
inference(superposition,[],[f12871,f2692]) ).
fof(f33033,plain,
( spl6_752
| ~ spl6_159
| ~ spl6_284 ),
inference(avatar_split_clause,[],[f30866,f4714,f2690,f33030]) ).
fof(f33030,plain,
( spl6_752
<=> sdtlseqdt0(xm,sdtasdt0(xr,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_752])]) ).
fof(f30866,plain,
( sdtlseqdt0(xm,sdtasdt0(xr,xp))
| ~ spl6_159
| ~ spl6_284 ),
inference(superposition,[],[f4716,f2692]) ).
fof(f33028,plain,
( ~ spl6_751
| ~ spl6_159
| spl6_282 ),
inference(avatar_split_clause,[],[f30864,f4539,f2690,f33025]) ).
fof(f33025,plain,
( spl6_751
<=> xm = sdtasdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_751])]) ).
fof(f30864,plain,
( xm != sdtasdt0(xp,xr)
| ~ spl6_159
| spl6_282 ),
inference(superposition,[],[f4541,f2692]) ).
fof(f32818,plain,
( spl6_432
| ~ spl6_5
| ~ spl6_300
| ~ spl6_704 ),
inference(avatar_split_clause,[],[f24712,f24249,f5833,f275,f13311]) ).
fof(f24712,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sz00)
| ~ spl6_300
| ~ spl6_704 ),
inference(resolution,[],[f24250,f5834]) ).
fof(f32435,plain,
( ~ spl6_2
| ~ spl6_6
| ~ spl6_44
| spl6_748 ),
inference(avatar_split_clause,[],[f32340,f32332,f498,f280,f260]) ).
fof(f498,plain,
( spl6_44
<=> ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f32340,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ spl6_44
| spl6_748 ),
inference(resolution,[],[f32334,f499]) ).
fof(f499,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f32334,plain,
( ~ aNaturalNumber0(sdtasdt0(xr,xp))
| spl6_748 ),
inference(avatar_component_clause,[],[f32332]) ).
fof(f32434,plain,
( spl6_750
| ~ spl6_159
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f30899,f25308,f2690,f32431]) ).
fof(f30899,plain,
( aNaturalNumber0(sdtasdt0(xr,xm))
| ~ spl6_159
| ~ spl6_716 ),
inference(superposition,[],[f25310,f2692]) ).
fof(f32339,plain,
( ~ spl6_748
| ~ spl6_7
| spl6_749
| ~ spl6_45
| spl6_747 ),
inference(avatar_split_clause,[],[f32329,f32322,f516,f32336,f285,f32332]) ).
fof(f32329,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xp))
| ~ spl6_45
| spl6_747 ),
inference(resolution,[],[f32324,f517]) ).
fof(f32325,plain,
( ~ spl6_747
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_291
| spl6_700 ),
inference(avatar_split_clause,[],[f32320,f23648,f5713,f2690,f2174,f260,f32322]) ).
fof(f32320,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xp),sz00)
| ~ spl6_2
| ~ spl6_147
| ~ spl6_159
| ~ spl6_291
| spl6_700 ),
inference(forward_demodulation,[],[f23649,f30925]) ).
fof(f32299,plain,
( ~ spl6_7
| ~ spl6_134
| ~ spl6_702
| spl6_277
| ~ spl6_66
| ~ spl6_700 ),
inference(avatar_split_clause,[],[f24659,f23648,f678,f4388,f23868,f1952,f285]) ).
fof(f4388,plain,
( spl6_277
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f24659,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_700 ),
inference(resolution,[],[f23650,f679]) ).
fof(f32254,plain,
( spl6_746
| ~ spl6_159
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f32058,f8741,f2690,f32252]) ).
fof(f32058,plain,
( ! [X0] :
( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_159
| ~ spl6_398 ),
inference(forward_demodulation,[],[f8742,f2692]) ).
fof(f32201,plain,
( spl6_674
| ~ spl6_158
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f32200,f2690,f2686,f22548]) ).
fof(f2686,plain,
( spl6_158
<=> sP0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f32200,plain,
( sP0(xr)
| ~ spl6_158
| ~ spl6_159 ),
inference(forward_demodulation,[],[f2687,f2692]) ).
fof(f2687,plain,
( sP0(xk)
| ~ spl6_158 ),
inference(avatar_component_clause,[],[f2686]) ).
fof(f32193,plain,
( ~ spl6_3
| ~ spl6_159
| spl6_483 ),
inference(avatar_split_clause,[],[f30887,f15592,f2690,f265]) ).
fof(f265,plain,
( spl6_3
<=> isPrime0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f30887,plain,
( ~ isPrime0(xr)
| ~ spl6_159
| spl6_483 ),
inference(superposition,[],[f15594,f2692]) ).
fof(f15594,plain,
( ~ isPrime0(xk)
| spl6_483 ),
inference(avatar_component_clause,[],[f15592]) ).
fof(f32192,plain,
( spl6_745
| ~ spl6_106
| ~ spl6_146
| ~ spl6_159
| ~ spl6_296 ),
inference(avatar_split_clause,[],[f31498,f5791,f2690,f2170,f1110,f32189]) ).
fof(f32189,plain,
( spl6_745
<=> iLess0(xm,sdtasdt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_745])]) ).
fof(f31498,plain,
( iLess0(xm,sdtasdt0(xr,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_159
| ~ spl6_296 ),
inference(forward_demodulation,[],[f31497,f2692]) ).
fof(f31500,plain,
( ~ spl6_461
| ~ spl6_102
| ~ spl6_159
| ~ spl6_461
| spl6_701 ),
inference(avatar_split_clause,[],[f30980,f23653,f14547,f2690,f1090,f14547]) ).
fof(f30980,plain,
( sz00 != xr
| ~ spl6_102
| ~ spl6_159
| ~ spl6_461
| spl6_701 ),
inference(forward_demodulation,[],[f30897,f29283]) ).
fof(f29283,plain,
( xr = sdtasdt0(xp,xr)
| ~ spl6_102
| ~ spl6_461 ),
inference(superposition,[],[f1092,f14549]) ).
fof(f14549,plain,
( sz00 = xr
| ~ spl6_461 ),
inference(avatar_component_clause,[],[f14547]) ).
fof(f31496,plain,
( ~ spl6_671
| ~ spl6_2
| ~ spl6_105
| ~ spl6_146
| ~ spl6_159
| spl6_296
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f30930,f14547,f5791,f2690,f2170,f1105,f260,f21961]) ).
fof(f21961,plain,
( spl6_671
<=> iLess0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_671])]) ).
fof(f1105,plain,
( spl6_105
<=> sz00 = sdtasdt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f30930,plain,
( ~ iLess0(xm,xr)
| ~ spl6_2
| ~ spl6_105
| ~ spl6_146
| ~ spl6_159
| spl6_296
| ~ spl6_461 ),
inference(forward_demodulation,[],[f30929,f29286]) ).
fof(f29286,plain,
( xr = sdtasdt0(xr,xm)
| ~ spl6_105
| ~ spl6_461 ),
inference(superposition,[],[f1107,f14549]) ).
fof(f1107,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f30929,plain,
( ~ iLess0(xm,sdtasdt0(xr,xm))
| ~ spl6_2
| ~ spl6_146
| ~ spl6_159
| spl6_296 ),
inference(forward_demodulation,[],[f30871,f2501]) ).
fof(f30871,plain,
( ~ iLess0(xm,sdtasdt0(xm,xr))
| ~ spl6_159
| spl6_296 ),
inference(superposition,[],[f5792,f2692]) ).
fof(f5792,plain,
( ~ iLess0(xm,sdtasdt0(xm,xk))
| spl6_296 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f31482,plain,
( spl6_636
| ~ spl6_107
| ~ spl6_159
| ~ spl6_284
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f30919,f14547,f4714,f2690,f1115,f21363]) ).
fof(f1115,plain,
( spl6_107
<=> sz00 = sdtasdt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f30919,plain,
( sdtlseqdt0(xm,xr)
| ~ spl6_107
| ~ spl6_159
| ~ spl6_284
| ~ spl6_461 ),
inference(forward_demodulation,[],[f30866,f29287]) ).
fof(f29287,plain,
( xr = sdtasdt0(xr,xp)
| ~ spl6_107
| ~ spl6_461 ),
inference(superposition,[],[f1117,f14549]) ).
fof(f1117,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f31112,plain,
( ~ spl6_530
| ~ spl6_2
| ~ spl6_107
| ~ spl6_132
| ~ spl6_147
| ~ spl6_159
| spl6_283
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f30918,f14547,f4679,f2690,f2174,f1929,f1115,f260,f16683]) ).
fof(f16683,plain,
( spl6_530
<=> sdtlseqdt0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_530])]) ).
fof(f30918,plain,
( ~ sdtlseqdt0(xr,xr)
| ~ spl6_2
| ~ spl6_107
| ~ spl6_132
| ~ spl6_147
| ~ spl6_159
| spl6_283
| ~ spl6_461 ),
inference(forward_demodulation,[],[f30917,f29287]) ).
fof(f30917,plain,
( ~ sdtlseqdt0(sdtasdt0(xr,xp),xr)
| ~ spl6_2
| ~ spl6_132
| ~ spl6_147
| ~ spl6_159
| spl6_283 ),
inference(forward_demodulation,[],[f30916,f2525]) ).
fof(f30916,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xr),xr)
| ~ spl6_132
| ~ spl6_159
| spl6_283 ),
inference(forward_demodulation,[],[f30915,f2692]) ).
fof(f30915,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xr),xk)
| ~ spl6_132
| ~ spl6_159
| spl6_283 ),
inference(forward_demodulation,[],[f30865,f1930]) ).
fof(f30857,plain,
( ~ spl6_106
| spl6_406
| ~ spl6_132
| ~ spl6_300
| ~ spl6_461
| ~ spl6_704 ),
inference(avatar_split_clause,[],[f30851,f24249,f14547,f5833,f1929,f9223,f1110]) ).
fof(f9223,plain,
( spl6_406
<=> sdtlseqdt0(xk,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
fof(f30851,plain,
( sdtlseqdt0(xk,xr)
| ~ aNaturalNumber0(xk)
| ~ spl6_132
| ~ spl6_300
| ~ spl6_461
| ~ spl6_704 ),
inference(forward_demodulation,[],[f30850,f1930]) ).
fof(f30850,plain,
( sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xk)
| ~ spl6_132
| ~ spl6_300
| ~ spl6_461
| ~ spl6_704 ),
inference(forward_demodulation,[],[f30849,f14549]) ).
fof(f30849,plain,
( ~ aNaturalNumber0(xk)
| sdtlseqdt0(xm,sz00)
| ~ spl6_132
| ~ spl6_300
| ~ spl6_704 ),
inference(forward_demodulation,[],[f24712,f1930]) ).
fof(f30848,plain,
( spl6_636
| ~ spl6_432
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f29310,f14547,f13311,f21363]) ).
fof(f29310,plain,
( sdtlseqdt0(xm,xr)
| ~ spl6_432
| ~ spl6_461 ),
inference(superposition,[],[f13312,f14549]) ).
fof(f13312,plain,
( sdtlseqdt0(xm,sz00)
| ~ spl6_432 ),
inference(avatar_component_clause,[],[f13311]) ).
fof(f30844,plain,
( ~ spl6_5
| spl6_744
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_300 ),
inference(avatar_split_clause,[],[f24566,f5833,f2170,f1956,f280,f30841,f275]) ).
fof(f24566,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ spl6_6
| ~ spl6_135
| ~ spl6_146
| ~ spl6_300 ),
inference(forward_demodulation,[],[f24528,f2500]) ).
fof(f24528,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| ~ spl6_135
| ~ spl6_300 ),
inference(resolution,[],[f1957,f5834]) ).
fof(f30838,plain,
( spl6_743
| ~ spl6_291
| ~ spl6_308 ),
inference(avatar_split_clause,[],[f23705,f6061,f5713,f30835]) ).
fof(f30835,plain,
( spl6_743
<=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_743])]) ).
fof(f6061,plain,
( spl6_308
<=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f23705,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl6_291
| ~ spl6_308 ),
inference(superposition,[],[f6063,f5714]) ).
fof(f6063,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
| ~ spl6_308 ),
inference(avatar_component_clause,[],[f6061]) ).
fof(f30827,plain,
( ~ spl6_292
| ~ spl6_291
| spl6_293 ),
inference(avatar_split_clause,[],[f23701,f5743,f5713,f5718]) ).
fof(f5718,plain,
( spl6_292
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f23701,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl6_291
| spl6_293 ),
inference(superposition,[],[f5745,f5714]) ).
fof(f5745,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))
| spl6_293 ),
inference(avatar_component_clause,[],[f5743]) ).
fof(f29970,plain,
( spl6_742
| ~ spl6_461
| ~ spl6_737 ),
inference(avatar_split_clause,[],[f29778,f29774,f14547,f29967]) ).
fof(f29967,plain,
( spl6_742
<=> xr = sdtsldt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_742])]) ).
fof(f29774,plain,
( spl6_737
<=> sz00 = sdtsldt0(sz00,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_737])]) ).
fof(f29778,plain,
( xr = sdtsldt0(xr,xp)
| ~ spl6_461
| ~ spl6_737 ),
inference(forward_demodulation,[],[f29776,f14549]) ).
fof(f29776,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_737 ),
inference(avatar_component_clause,[],[f29774]) ).
fof(f29964,plain,
( ~ spl6_4
| ~ spl6_106
| ~ spl6_44
| spl6_741 ),
inference(avatar_split_clause,[],[f29841,f29837,f498,f1110,f270]) ).
fof(f29841,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ spl6_44
| spl6_741 ),
inference(resolution,[],[f29839,f499]) ).
fof(f29839,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xk))
| spl6_741 ),
inference(avatar_component_clause,[],[f29837]) ).
fof(f29849,plain,
( ~ spl6_279
| spl6_418
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f29307,f14547,f11974,f4405]) ).
fof(f29307,plain,
( ~ sdtlseqdt0(xr,xm)
| spl6_418
| ~ spl6_461 ),
inference(superposition,[],[f11975,f14549]) ).
fof(f11975,plain,
( ~ sdtlseqdt0(sz00,xm)
| spl6_418 ),
inference(avatar_component_clause,[],[f11974]) ).
fof(f29840,plain,
( spl6_739
| ~ spl6_740
| ~ spl6_741
| ~ spl6_2
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(avatar_split_clause,[],[f29799,f23648,f14547,f1929,f678,f260,f29837,f29833,f29829]) ).
fof(f29829,plain,
( spl6_739
<=> xr = sdtasdt0(xn,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_739])]) ).
fof(f29799,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xk))
| ~ sdtlseqdt0(xr,sdtasdt0(xn,xk))
| xr = sdtasdt0(xn,xk)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(forward_demodulation,[],[f29798,f14549]) ).
fof(f29798,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xk))
| ~ sdtlseqdt0(xr,sdtasdt0(xn,xk))
| xr = sdtasdt0(xn,xk)
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(forward_demodulation,[],[f29797,f1930]) ).
fof(f29797,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xk))
| xr = sdtasdt0(xn,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(forward_demodulation,[],[f29796,f14549]) ).
fof(f29796,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(xn,xk))
| xr = sdtasdt0(xn,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(forward_demodulation,[],[f29795,f1930]) ).
fof(f29795,plain,
( xr = sdtasdt0(xn,xk)
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_461
| ~ spl6_700 ),
inference(forward_demodulation,[],[f29794,f14549]) ).
fof(f29794,plain,
( sz00 = sdtasdt0(xn,xk)
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ spl6_66
| ~ spl6_132
| ~ spl6_700 ),
inference(forward_demodulation,[],[f24659,f1930]) ).
fof(f29785,plain,
( ~ spl6_278
| ~ spl6_461
| spl6_702 ),
inference(avatar_split_clause,[],[f29313,f23868,f14547,f4399]) ).
fof(f29313,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ spl6_461
| spl6_702 ),
inference(superposition,[],[f23870,f14549]) ).
fof(f29783,plain,
( spl6_738
| ~ spl6_461
| ~ spl6_700 ),
inference(avatar_split_clause,[],[f29312,f23648,f14547,f29780]) ).
fof(f29312,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xr)
| ~ spl6_461
| ~ spl6_700 ),
inference(superposition,[],[f23650,f14549]) ).
fof(f29777,plain,
( spl6_737
| ~ spl6_7
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154
| ~ spl6_585
| ~ spl6_719 ),
inference(avatar_split_clause,[],[f26233,f26209,f19630,f2576,f1110,f428,f285,f29774]) ).
fof(f26233,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl6_7
| ~ spl6_36
| ~ spl6_106
| ~ spl6_154
| ~ spl6_585
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26232,f23344]) ).
fof(f26232,plain,
( sdtasdt0(sz00,xk) = sdtsldt0(sz00,xp)
| ~ spl6_7
| ~ spl6_585
| ~ spl6_719 ),
inference(forward_demodulation,[],[f26212,f19632]) ).
fof(f26212,plain,
( sdtasdt0(sz00,xk) = sdtsldt0(sdtasdt0(sz00,sdtasdt0(xn,xm)),xp)
| ~ spl6_7
| ~ spl6_719 ),
inference(resolution,[],[f26210,f287]) ).
fof(f29771,plain,
( spl6_736
| ~ spl6_2
| ~ spl6_278
| ~ spl6_704 ),
inference(avatar_split_clause,[],[f24714,f24249,f4399,f260,f29768]) ).
fof(f24714,plain,
( ~ aNaturalNumber0(xr)
| sdtlseqdt0(xr,sz00)
| ~ spl6_278
| ~ spl6_704 ),
inference(resolution,[],[f24250,f4401]) ).
fof(f29717,plain,
( spl6_673
| ~ spl6_392
| ~ spl6_461 ),
inference(avatar_split_clause,[],[f29716,f14547,f8691,f22543]) ).
fof(f22543,plain,
( spl6_673
<=> sdtlseqdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_673])]) ).
fof(f29716,plain,
( sdtlseqdt0(xp,xr)
| ~ spl6_392
| ~ spl6_461 ),
inference(forward_demodulation,[],[f8692,f14549]) ).
fof(f8692,plain,
( sdtlseqdt0(xp,sz00)
| ~ spl6_392 ),
inference(avatar_component_clause,[],[f8691]) ).
fof(f29710,plain,
( spl6_392
| ~ spl6_6
| ~ spl6_276
| ~ spl6_704 ),
inference(avatar_split_clause,[],[f24713,f24249,f4384,f280,f8691]) ).
fof(f24713,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,sz00)
| ~ spl6_276
| ~ spl6_704 ),
inference(resolution,[],[f24250,f4386]) ).
fof(f29521,plain,
( spl6_132
| ~ spl6_106
| ~ spl6_291
| ~ spl6_390 ),
inference(avatar_split_clause,[],[f23743,f8371,f5713,f1110,f1929]) ).
fof(f8371,plain,
( spl6_390
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| xm = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f23743,plain,
( ~ aNaturalNumber0(xk)
| xm = xk
| ~ spl6_291
| ~ spl6_390 ),
inference(trivial_inequality_removal,[],[f23717]) ).
fof(f23717,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xk)
| xm = xk
| ~ spl6_291
| ~ spl6_390 ),
inference(superposition,[],[f8372,f5714]) ).
fof(f8372,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| xm = X0 )
| ~ spl6_390 ),
inference(avatar_component_clause,[],[f8371]) ).
fof(f29515,plain,
( ~ spl6_475
| ~ spl6_291
| spl6_425 ),
inference(avatar_split_clause,[],[f23709,f12893,f5713,f14832]) ).
fof(f23709,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_291
| spl6_425 ),
inference(superposition,[],[f12895,f5714]) ).
fof(f12895,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xp)
| spl6_425 ),
inference(avatar_component_clause,[],[f12893]) ).
fof(f29273,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_461
| spl6_398
| ~ spl6_14
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1047,f1037,f320,f8741,f14547,f1110,f260]) ).
fof(f1037,plain,
( spl6_94
<=> ! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f1047,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) )
| ~ spl6_14
| ~ spl6_94 ),
inference(resolution,[],[f1038,f322]) ).
fof(f1038,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_94 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f29233,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_461
| spl6_393
| ~ spl6_14
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f926,f880,f320,f8697,f14547,f1110,f260]) ).
fof(f880,plain,
( spl6_84
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f926,plain,
( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_84 ),
inference(resolution,[],[f881,f322]) ).
fof(f881,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f29225,plain,
( ~ spl6_2
| ~ spl6_106
| ~ spl6_44
| spl6_676 ),
inference(avatar_split_clause,[],[f22577,f22563,f498,f1110,f260]) ).
fof(f22577,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_44
| spl6_676 ),
inference(resolution,[],[f22565,f499]) ).
fof(f22565,plain,
( ~ aNaturalNumber0(sdtasdt0(xr,xk))
| spl6_676 ),
inference(avatar_component_clause,[],[f22563]) ).
fof(f28658,plain,
( spl6_735
| ~ spl6_23
| ~ spl6_709 ),
inference(avatar_split_clause,[],[f27289,f24736,f365,f28655]) ).
fof(f28655,plain,
( spl6_735
<=> sP1(sdtasdt0(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_735])]) ).
fof(f27289,plain,
( sP1(sdtasdt0(xm,xp))
| ~ spl6_23
| ~ spl6_709 ),
inference(resolution,[],[f24737,f366]) ).
fof(f28019,plain,
( spl6_734
| ~ spl6_23
| ~ spl6_717 ),
inference(avatar_split_clause,[],[f25804,f25459,f365,f28016]) ).
fof(f28016,plain,
( spl6_734
<=> sP1(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_734])]) ).
fof(f25804,plain,
( sP1(sdtasdt0(xm,xm))
| ~ spl6_23
| ~ spl6_717 ),
inference(resolution,[],[f25460,f366]) ).
fof(f27750,plain,
( spl6_733
| ~ spl6_23
| ~ spl6_716 ),
inference(avatar_split_clause,[],[f25312,f25308,f365,f27747]) ).
fof(f27747,plain,
( spl6_733
<=> sP1(sdtasdt0(xk,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_733])]) ).
fof(f25312,plain,
( sP1(sdtasdt0(xk,xm))
| ~ spl6_23
| ~ spl6_716 ),
inference(resolution,[],[f25310,f366]) ).
fof(f27480,plain,
( ~ spl6_134
| spl6_732
| ~ spl6_709
| ~ spl6_6
| ~ spl6_31
| ~ spl6_71
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f24344,f2170,f748,f406,f280,f24736,f27477,f1952]) ).
fof(f27477,plain,
( spl6_732
<=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_732])]) ).
fof(f24344,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xp))
| sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_6
| ~ spl6_31
| ~ spl6_71
| ~ spl6_146 ),
inference(forward_demodulation,[],[f24343,f2500]) ).
fof(f24343,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_6
| ~ spl6_31
| ~ spl6_71
| ~ spl6_146 ),
inference(forward_demodulation,[],[f1947,f2500]) ).
fof(f1947,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_71 ),
inference(resolution,[],[f407,f749]) ).
fof(f27283,plain,
( ~ spl6_5
| ~ spl6_6
| ~ spl6_44
| spl6_709 ),
inference(avatar_split_clause,[],[f24743,f24736,f498,f280,f275]) ).
fof(f24743,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_44
| spl6_709 ),
inference(resolution,[],[f24738,f499]) ).
fof(f24738,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xp))
| spl6_709 ),
inference(avatar_component_clause,[],[f24736]) ).
fof(f27124,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_731
| ~ spl6_13
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f838,f814,f315,f27122,f1110,f280]) ).
fof(f838,plain,
( ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_13
| ~ spl6_75 ),
inference(resolution,[],[f815,f317]) ).
fof(f317,plain,
( sdtlseqdt0(xp,xk)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f26939,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_730
| ~ spl6_13
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f787,f748,f315,f26936,f1110,f280]) ).
fof(f26936,plain,
( spl6_730
<=> xk = sdtpldt0(xp,sdtmndt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_730])]) ).
fof(f787,plain,
( xk = sdtpldt0(xp,sdtmndt0(xk,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_13
| ~ spl6_71 ),
inference(resolution,[],[f749,f317]) ).
fof(f26901,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_729
| ~ spl6_13
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f771,f744,f315,f26898,f1110,f280]) ).
fof(f26898,plain,
( spl6_729
<=> xk = sdtpldt0(xp,sK5(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_729])]) ).
fof(f771,plain,
( xk = sdtpldt0(xp,sK5(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_13
| ~ spl6_70 ),
inference(resolution,[],[f745,f317]) ).
fof(f26891,plain,
( ~ spl6_106
| ~ spl6_6
| ~ spl6_728
| spl6_726
| ~ spl6_13
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f722,f678,f315,f26879,f26888,f280,f1110]) ).
fof(f722,plain,
( xp = xk
| ~ sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_13
| ~ spl6_66 ),
inference(resolution,[],[f679,f317]) ).
fof(f26886,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_726
| spl6_727
| ~ spl6_13
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f701,f668,f315,f26883,f26879,f1110,f280]) ).
fof(f26883,plain,
( spl6_727
<=> iLess0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_727])]) ).
fof(f701,plain,
( iLess0(xp,xk)
| xp = xk
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_13
| ~ spl6_64 ),
inference(resolution,[],[f669,f317]) ).
fof(f26825,plain,
( ~ spl6_106
| ~ spl6_6
| spl6_19
| spl6_725
| ~ spl6_93
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23729,f5713,f1021,f26823,f345,f280,f1110]) ).
fof(f26823,plain,
( spl6_725
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_725])]) ).
fof(f23729,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk) )
| ~ spl6_93
| ~ spl6_291 ),
inference(superposition,[],[f1022,f5714]) ).
fof(f26775,plain,
( ~ spl6_106
| ~ spl6_6
| spl6_19
| spl6_724
| ~ spl6_93
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23728,f5713,f1021,f26773,f345,f280,f1110]) ).
fof(f26773,plain,
( spl6_724
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xk))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(xp,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_724])]) ).
fof(f23728,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xk))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| sz00 = xk
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) )
| ~ spl6_93
| ~ spl6_291 ),
inference(superposition,[],[f1022,f5714]) ).
fof(f26719,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_280
| spl6_723
| ~ spl6_92
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23727,f5713,f1017,f26717,f4415,f1110,f280]) ).
fof(f26717,plain,
( spl6_723
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| xk = X0
| ~ sdtlseqdt0(X0,xk) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_723])]) ).
fof(f23727,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xk)
| xk = X0
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_92
| ~ spl6_291 ),
inference(superposition,[],[f1018,f5714]) ).
fof(f26666,plain,
( ~ spl6_6
| ~ spl6_106
| spl6_280
| spl6_722
| ~ spl6_92
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23726,f5713,f1017,f26664,f4415,f1110,f280]) ).
fof(f23726,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xk,X0)
| xk = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) )
| ~ spl6_92
| ~ spl6_291 ),
inference(superposition,[],[f1018,f5714]) ).
fof(f26661,plain,
( ~ spl6_106
| spl6_19
| ~ spl6_6
| spl6_721
| ~ spl6_86
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23725,f5713,f939,f26659,f280,f345,f1110]) ).
fof(f23725,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xk)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = xk
| ~ aNaturalNumber0(xk) )
| ~ spl6_86
| ~ spl6_291 ),
inference(superposition,[],[f940,f5714]) ).
fof(f26651,plain,
( ~ spl6_6
| spl6_280
| ~ spl6_106
| spl6_720
| ~ spl6_85
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23723,f5713,f935,f26649,f1110,f4415,f280]) ).
fof(f23723,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| xk = X0
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_85
| ~ spl6_291 ),
inference(superposition,[],[f936,f5714]) ).
fof(f26356,plain,
( ~ spl6_106
| ~ spl6_6
| ~ spl6_44
| spl6_395 ),
inference(avatar_split_clause,[],[f8734,f8727,f498,f280,f1110]) ).
fof(f8727,plain,
( spl6_395
<=> aNaturalNumber0(sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f8734,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl6_44
| spl6_395 ),
inference(resolution,[],[f8729,f499]) ).
fof(f8729,plain,
( ~ aNaturalNumber0(sdtasdt0(xk,xp))
| spl6_395 ),
inference(avatar_component_clause,[],[f8727]) ).
fof(f26211,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_280
| spl6_719
| ~ spl6_24
| ~ spl6_34
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1054,f1037,f419,f375,f26209,f4415,f1952,f280]) ).
fof(f375,plain,
( spl6_24
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f419,plain,
( spl6_34
<=> xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f1054,plain,
( ! [X0] :
( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_24
| ~ spl6_34
| ~ spl6_94 ),
inference(forward_demodulation,[],[f1046,f421]) ).
fof(f421,plain,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f1046,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) )
| ~ spl6_24
| ~ spl6_94 ),
inference(resolution,[],[f1038,f377]) ).
fof(f377,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f25520,plain,
( ~ spl6_5
| ~ spl6_44
| spl6_717 ),
inference(avatar_split_clause,[],[f25468,f25459,f498,f275]) ).
fof(f25468,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_44
| spl6_717 ),
inference(duplicate_literal_removal,[],[f25467]) ).
fof(f25467,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_44
| spl6_717 ),
inference(resolution,[],[f25461,f499]) ).
fof(f25461,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl6_717 ),
inference(avatar_component_clause,[],[f25459]) ).
fof(f25466,plain,
( ~ spl6_717
| spl6_718
| ~ spl6_716
| ~ spl6_45
| ~ spl6_106
| ~ spl6_146
| spl6_415 ),
inference(avatar_split_clause,[],[f25283,f11653,f2170,f1110,f516,f25308,f25463,f25459]) ).
fof(f25283,plain,
( ~ aNaturalNumber0(sdtasdt0(xk,xm))
| sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl6_45
| ~ spl6_106
| ~ spl6_146
| spl6_415 ),
inference(forward_demodulation,[],[f25282,f4484]) ).
fof(f25282,plain,
( sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ spl6_45
| ~ spl6_106
| ~ spl6_146
| spl6_415 ),
inference(forward_demodulation,[],[f11662,f4484]) ).
fof(f11662,plain,
( sdtlseqdt0(sdtasdt0(xm,xk),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ spl6_45
| spl6_415 ),
inference(resolution,[],[f11655,f517]) ).
fof(f25311,plain,
( spl6_716
| ~ spl6_106
| ~ spl6_146
| ~ spl6_294 ),
inference(avatar_split_clause,[],[f25293,f5783,f2170,f1110,f25308]) ).
fof(f5783,plain,
( spl6_294
<=> aNaturalNumber0(sdtasdt0(xm,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f25293,plain,
( aNaturalNumber0(sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| ~ spl6_294 ),
inference(forward_demodulation,[],[f5784,f4484]) ).
fof(f5784,plain,
( aNaturalNumber0(sdtasdt0(xm,xk))
| ~ spl6_294 ),
inference(avatar_component_clause,[],[f5783]) ).
fof(f25299,plain,
( ~ spl6_715
| ~ spl6_106
| ~ spl6_146
| spl6_285 ),
inference(avatar_split_clause,[],[f25294,f4744,f2170,f1110,f25296]) ).
fof(f25294,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xk,xm))
| ~ spl6_106
| ~ spl6_146
| spl6_285 ),
inference(forward_demodulation,[],[f4745,f4484]) ).
fof(f4745,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xm,xk))
| spl6_285 ),
inference(avatar_component_clause,[],[f4744]) ).
fof(f25278,plain,
( ~ spl6_5
| ~ spl6_106
| ~ spl6_44
| spl6_294 ),
inference(avatar_split_clause,[],[f5795,f5783,f498,f1110,f275]) ).
fof(f5795,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ spl6_44
| spl6_294 ),
inference(resolution,[],[f5785,f499]) ).
fof(f5785,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xk))
| spl6_294 ),
inference(avatar_component_clause,[],[f5783]) ).
fof(f24765,plain,
( spl6_714
| ~ spl6_6
| ~ spl6_146
| ~ spl6_713 ),
inference(avatar_split_clause,[],[f24760,f24756,f2170,f280,f24762]) ).
fof(f24762,plain,
( spl6_714
<=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xm,xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_714])]) ).
fof(f24756,plain,
( spl6_713
<=> sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_713])]) ).
fof(f24760,plain,
( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xm,xp)))
| ~ spl6_6
| ~ spl6_146
| ~ spl6_713 ),
inference(forward_demodulation,[],[f24758,f2500]) ).
fof(f24758,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))
| ~ spl6_713 ),
inference(avatar_component_clause,[],[f24756]) ).
fof(f24759,plain,
( ~ spl6_134
| ~ spl6_98
| spl6_713
| ~ spl6_31
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f1948,f744,f406,f24756,f1066,f1952]) ).
fof(f1948,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_70 ),
inference(resolution,[],[f407,f745]) ).
fof(f24754,plain,
( spl6_712
| ~ spl6_6
| ~ spl6_146
| ~ spl6_711 ),
inference(avatar_split_clause,[],[f24749,f24745,f2170,f280,f24751]) ).
fof(f24745,plain,
( spl6_711
<=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_711])]) ).
fof(f24749,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ~ spl6_6
| ~ spl6_146
| ~ spl6_711 ),
inference(forward_demodulation,[],[f24747,f2500]) ).
fof(f24747,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl6_711 ),
inference(avatar_component_clause,[],[f24745]) ).
fof(f24748,plain,
( ~ spl6_134
| ~ spl6_98
| spl6_30
| spl6_711
| ~ spl6_31
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f1950,f668,f406,f24745,f402,f1066,f1952]) ).
fof(f1950,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_64 ),
inference(resolution,[],[f407,f669]) ).
fof(f24742,plain,
( ~ spl6_134
| ~ spl6_709
| spl6_710
| ~ spl6_75
| ~ spl6_706 ),
inference(avatar_split_clause,[],[f24370,f24360,f814,f24740,f24736,f1952]) ).
fof(f24370,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_706 ),
inference(resolution,[],[f24362,f815]) ).
fof(f24657,plain,
( ~ spl6_134
| ~ spl6_7
| spl6_702
| ~ spl6_45
| spl6_700 ),
inference(avatar_split_clause,[],[f24655,f23648,f516,f23868,f285,f1952]) ).
fof(f24655,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_45
| spl6_700 ),
inference(resolution,[],[f23649,f517]) ).
fof(f24651,plain,
( ~ spl6_134
| ~ spl6_7
| spl6_704
| ~ spl6_75
| ~ spl6_700 ),
inference(avatar_split_clause,[],[f23661,f23648,f814,f24249,f285,f1952]) ).
fof(f23661,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_700 ),
inference(resolution,[],[f23650,f815]) ).
fof(f24574,plain,
( ~ spl6_97
| ~ spl6_98
| spl6_99
| spl6_33
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f12888,f516,f414,f1070,f1066,f1062]) ).
fof(f1070,plain,
( spl6_99
<=> sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f12888,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| spl6_33
| ~ spl6_45 ),
inference(resolution,[],[f416,f517]) ).
fof(f24418,plain,
( spl6_708
| ~ spl6_291
| ~ spl6_298 ),
inference(avatar_split_clause,[],[f24047,f5802,f5713,f24416]) ).
fof(f24047,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_291
| ~ spl6_298 ),
inference(forward_demodulation,[],[f5803,f5714]) ).
fof(f24408,plain,
( ~ spl6_707
| ~ spl6_6
| ~ spl6_146
| spl6_705 ),
inference(avatar_split_clause,[],[f24351,f24347,f2170,f280,f24405]) ).
fof(f24347,plain,
( spl6_705
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_705])]) ).
fof(f24351,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
| ~ spl6_6
| ~ spl6_146
| spl6_705 ),
inference(forward_demodulation,[],[f24349,f2500]) ).
fof(f24349,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| spl6_705 ),
inference(avatar_component_clause,[],[f24347]) ).
fof(f24363,plain,
( spl6_706
| ~ spl6_6
| ~ spl6_31
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f24353,f2170,f406,f280,f24360]) ).
fof(f24353,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ~ spl6_6
| ~ spl6_31
| ~ spl6_146 ),
inference(forward_demodulation,[],[f407,f2500]) ).
fof(f24352,plain,
( spl6_31
| ~ spl6_99
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f24252,f5713,f1070,f406]) ).
fof(f24252,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl6_99
| ~ spl6_291 ),
inference(forward_demodulation,[],[f1072,f5714]) ).
fof(f1072,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ spl6_99 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f24350,plain,
( ~ spl6_705
| spl6_33
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23695,f5713,f414,f24347]) ).
fof(f23695,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| spl6_33
| ~ spl6_291 ),
inference(superposition,[],[f416,f5714]) ).
fof(f24345,plain,
( ~ spl6_30
| spl6_32
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f24253,f5713,f410,f402]) ).
fof(f24253,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
| spl6_32
| ~ spl6_291 ),
inference(forward_demodulation,[],[f411,f5714]) ).
fof(f411,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
| spl6_32 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f24251,plain,
( spl6_704
| ~ spl6_135
| ~ spl6_422 ),
inference(avatar_split_clause,[],[f23335,f12863,f1956,f24249]) ).
fof(f23335,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) )
| ~ spl6_135
| ~ spl6_422 ),
inference(forward_demodulation,[],[f1957,f12864]) ).
fof(f12864,plain,
( sz00 = sdtasdt0(xp,xm)
| ~ spl6_422 ),
inference(avatar_component_clause,[],[f12863]) ).
fof(f24212,plain,
( spl6_703
| ~ spl6_291
| ~ spl6_297 ),
inference(avatar_split_clause,[],[f24048,f5797,f5713,f24209]) ).
fof(f24048,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ~ spl6_291
| ~ spl6_297 ),
inference(forward_demodulation,[],[f5799,f5714]) ).
fof(f23872,plain,
( ~ spl6_300
| spl6_281
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23696,f5713,f4433,f5833]) ).
fof(f4433,plain,
( spl6_281
<=> sdtlseqdt0(xm,sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f23696,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xn,xm))
| spl6_281
| ~ spl6_291 ),
inference(superposition,[],[f4434,f5714]) ).
fof(f4434,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xp,xk))
| spl6_281 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f23871,plain,
( ~ spl6_702
| spl6_33
| ~ spl6_291
| ~ spl6_422 ),
inference(avatar_split_clause,[],[f23646,f12863,f5713,f414,f23868]) ).
fof(f23646,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| spl6_33
| ~ spl6_291
| ~ spl6_422 ),
inference(forward_demodulation,[],[f23611,f5714]) ).
fof(f23611,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(xp,xk))
| spl6_33
| ~ spl6_422 ),
inference(superposition,[],[f416,f12864]) ).
fof(f23745,plain,
( ~ spl6_292
| spl6_288
| ~ spl6_291 ),
inference(avatar_split_clause,[],[f23343,f5713,f5497,f5718]) ).
fof(f5497,plain,
( spl6_288
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f23343,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| spl6_288
| ~ spl6_291 ),
inference(forward_demodulation,[],[f5498,f5714]) ).
fof(f5498,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
| spl6_288 ),
inference(avatar_component_clause,[],[f5497]) ).
fof(f23656,plain,
( ~ spl6_701
| spl6_32
| ~ spl6_422 ),
inference(avatar_split_clause,[],[f23336,f12863,f410,f23653]) ).
fof(f23336,plain,
( sz00 != sdtasdt0(xp,xk)
| spl6_32
| ~ spl6_422 ),
inference(forward_demodulation,[],[f411,f12864]) ).
fof(f23651,plain,
( spl6_700
| ~ spl6_31
| ~ spl6_422 ),
inference(avatar_split_clause,[],[f23324,f12863,f406,f23648]) ).
fof(f23324,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_31
| ~ spl6_422 ),
inference(forward_demodulation,[],[f407,f12864]) ).
fof(f23172,plain,
( ~ spl6_166
| ~ spl6_280
| spl6_391 ),
inference(avatar_split_clause,[],[f23171,f8685,f4415,f2785]) ).
fof(f2785,plain,
( spl6_166
<=> xp = sdtpldt0(xm,sdtmndt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f8685,plain,
( spl6_391
<=> sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f23171,plain,
( xp != sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ spl6_280
| spl6_391 ),
inference(forward_demodulation,[],[f8686,f4417]) ).
fof(f4417,plain,
( sz00 = xp
| ~ spl6_280 ),
inference(avatar_component_clause,[],[f4415]) ).
fof(f8686,plain,
( sz00 != sdtpldt0(xm,sdtmndt0(sz00,xm))
| spl6_391 ),
inference(avatar_component_clause,[],[f8685]) ).
fof(f23167,plain,
( ~ spl6_5
| ~ spl6_6
| ~ spl6_18
| ~ spl6_55
| spl6_634 ),
inference(avatar_split_clause,[],[f21268,f21264,f567,f340,f280,f275]) ).
fof(f567,plain,
( spl6_55
<=> ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f21268,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_55
| spl6_634 ),
inference(resolution,[],[f21266,f568]) ).
fof(f568,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f21266,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,xm))
| spl6_634 ),
inference(avatar_component_clause,[],[f21264]) ).
fof(f23166,plain,
( spl6_699
| ~ spl6_134
| ~ spl6_168
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f14746,f4415,f2813,f1952,f23164]) ).
fof(f23164,plain,
( spl6_699
<=> ! [X0] :
( xp = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),xp)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_699])]) ).
fof(f14746,plain,
( ! [X0] :
( xp = sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_134
| ~ spl6_168
| ~ spl6_280 ),
inference(forward_demodulation,[],[f9313,f4417]) ).
fof(f23162,plain,
( ~ spl6_698
| ~ spl6_280
| spl6_697 ),
inference(avatar_split_clause,[],[f23157,f23153,f4415,f23159]) ).
fof(f23159,plain,
( spl6_698
<=> xp = sdtmndt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_698])]) ).
fof(f23153,plain,
( spl6_697
<=> sz00 = sdtmndt0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_697])]) ).
fof(f23157,plain,
( xp != sdtmndt0(xp,xm)
| ~ spl6_280
| spl6_697 ),
inference(forward_demodulation,[],[f23154,f4417]) ).
fof(f23154,plain,
( sz00 != sdtmndt0(sz00,xm)
| spl6_697 ),
inference(avatar_component_clause,[],[f23153]) ).
fof(f23156,plain,
( ~ spl6_5
| ~ spl6_633
| spl6_697
| ~ spl6_62
| ~ spl6_391 ),
inference(avatar_split_clause,[],[f11680,f8685,f658,f23153,f21258,f275]) ).
fof(f21258,plain,
( spl6_633
<=> aNaturalNumber0(sdtmndt0(sz00,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_633])]) ).
fof(f658,plain,
( spl6_62
<=> ! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f11680,plain,
( sz00 = sdtmndt0(sz00,xm)
| ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_62
| ~ spl6_391 ),
inference(trivial_inequality_removal,[],[f11666]) ).
fof(f11666,plain,
( sz00 != sz00
| sz00 = sdtmndt0(sz00,xm)
| ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_62
| ~ spl6_391 ),
inference(superposition,[],[f659,f8687]) ).
fof(f8687,plain,
( sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm))
| ~ spl6_391 ),
inference(avatar_component_clause,[],[f8685]) ).
fof(f659,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f23151,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_633
| spl6_432
| ~ spl6_68
| ~ spl6_391 ),
inference(avatar_split_clause,[],[f11667,f8685,f686,f13311,f21258,f285,f275]) ).
fof(f686,plain,
( spl6_68
<=> ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f11667,plain,
( sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_68
| ~ spl6_391 ),
inference(superposition,[],[f687,f8687]) ).
fof(f687,plain,
( ! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f23143,plain,
( ~ spl6_696
| spl6_151
| ~ spl6_8
| spl6_12
| ~ spl6_119
| ~ spl6_404 ),
inference(avatar_split_clause,[],[f9144,f9090,f1175,f310,f290,f2460,f23140]) ).
fof(f2460,plain,
( spl6_151
<=> sz10 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f1175,plain,
( spl6_119
<=> xp = sdtasdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f9144,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(sz10)
| sz10 = xm
| ~ sdtlseqdt0(sz10,xm)
| ~ spl6_119
| ~ spl6_404 ),
inference(superposition,[],[f9091,f1177]) ).
fof(f1177,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_119 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f23138,plain,
( spl6_695
| ~ spl6_4
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f9056,f8741,f270,f23135]) ).
fof(f23133,plain,
( spl6_694
| ~ spl6_8
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f9048,f8741,f290,f23130]) ).
fof(f23130,plain,
( spl6_694
<=> sdtasdt0(sz10,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz10,xk),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_694])]) ).
fof(f23128,plain,
( spl6_693
| ~ spl6_134
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f6289,f6212,f1952,f23126]) ).
fof(f6289,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtpldt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_319 ),
inference(resolution,[],[f6213,f1953]) ).
fof(f23122,plain,
( spl6_692
| ~ spl6_134
| ~ spl6_317 ),
inference(avatar_split_clause,[],[f6245,f6204,f1952,f23120]) ).
fof(f6245,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtasdt0(xp,sdtasdt0(sdtasdt0(xn,xm),X0)) )
| ~ spl6_134
| ~ spl6_317 ),
inference(resolution,[],[f6205,f1953]) ).
fof(f23030,plain,
( spl6_691
| ~ spl6_5
| ~ spl6_2
| ~ spl6_235
| spl6_279 ),
inference(avatar_split_clause,[],[f4410,f4405,f3628,f260,f275,f23027]) ).
fof(f23027,plain,
( spl6_691
<=> xr = sdtpldt0(xm,sK5(xm,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_691])]) ).
fof(f4410,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| xr = sdtpldt0(xm,sK5(xm,xr))
| ~ spl6_235
| spl6_279 ),
inference(resolution,[],[f4407,f3629]) ).
fof(f4407,plain,
( ~ sdtlseqdt0(xr,xm)
| spl6_279 ),
inference(avatar_component_clause,[],[f4405]) ).
fof(f22992,plain,
( spl6_690
| ~ spl6_5
| ~ spl6_2
| ~ spl6_236
| spl6_279 ),
inference(avatar_split_clause,[],[f4409,f4405,f3632,f260,f275,f22989]) ).
fof(f22989,plain,
( spl6_690
<=> xr = sdtpldt0(xm,sdtmndt0(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_690])]) ).
fof(f4409,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| xr = sdtpldt0(xm,sdtmndt0(xr,xm))
| ~ spl6_236
| spl6_279 ),
inference(resolution,[],[f4407,f3633]) ).
fof(f22981,plain,
( spl6_689
| ~ spl6_23
| ~ spl6_677 ),
inference(avatar_split_clause,[],[f22578,f22568,f365,f22978]) ).
fof(f22978,plain,
( spl6_689
<=> sP1(sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_689])]) ).
fof(f22568,plain,
( spl6_677
<=> aNaturalNumber0(sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_677])]) ).
fof(f22578,plain,
( sP1(sdtasdt0(xr,xn))
| ~ spl6_23
| ~ spl6_677 ),
inference(resolution,[],[f22570,f366]) ).
fof(f22570,plain,
( aNaturalNumber0(sdtasdt0(xr,xn))
| ~ spl6_677 ),
inference(avatar_component_clause,[],[f22568]) ).
fof(f22886,plain,
( spl6_688
| ~ spl6_2
| ~ spl6_24
| ~ spl6_145
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8818,f8701,f2166,f375,f260,f22883]) ).
fof(f22883,plain,
( spl6_688
<=> doDivides0(xp,sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_688])]) ).
fof(f8818,plain,
( doDivides0(xp,sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_24
| ~ spl6_145
| ~ spl6_394 ),
inference(forward_demodulation,[],[f8747,f2475]) ).
fof(f8747,plain,
( doDivides0(xp,sdtasdt0(xn,xr))
| ~ spl6_24
| ~ spl6_394 ),
inference(superposition,[],[f377,f8703]) ).
fof(f22881,plain,
( ~ spl6_687
| spl6_389
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8817,f8701,f8361,f22878]) ).
fof(f22878,plain,
( spl6_687
<=> sdtlseqdt0(sdtasdt0(xk,xp),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_687])]) ).
fof(f8361,plain,
( spl6_389
<=> sdtlseqdt0(sdtasdt0(xk,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f8817,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xp),xr)
| spl6_389
| ~ spl6_394 ),
inference(superposition,[],[f8363,f8703]) ).
fof(f8363,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xp),xm)
| spl6_389 ),
inference(avatar_component_clause,[],[f8361]) ).
fof(f22875,plain,
( spl6_686
| ~ spl6_297
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8798,f8701,f5797,f22872]) ).
fof(f8798,plain,
( iLess0(xr,sdtasdt0(xp,xk))
| ~ spl6_297
| ~ spl6_394 ),
inference(superposition,[],[f5799,f8703]) ).
fof(f22870,plain,
( ~ spl6_685
| spl6_296
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8797,f8701,f5791,f22867]) ).
fof(f22867,plain,
( spl6_685
<=> iLess0(xr,sdtasdt0(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_685])]) ).
fof(f8797,plain,
( ~ iLess0(xr,sdtasdt0(xr,xk))
| spl6_296
| ~ spl6_394 ),
inference(superposition,[],[f5792,f8703]) ).
fof(f22865,plain,
( ~ spl6_684
| spl6_295
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8796,f8701,f5787,f22862]) ).
fof(f22862,plain,
( spl6_684
<=> xr = sdtasdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_684])]) ).
fof(f5787,plain,
( spl6_295
<=> xm = sdtasdt0(xm,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f8796,plain,
( xr != sdtasdt0(xr,xk)
| spl6_295
| ~ spl6_394 ),
inference(superposition,[],[f5788,f8703]) ).
fof(f5788,plain,
( xm != sdtasdt0(xm,xk)
| spl6_295 ),
inference(avatar_component_clause,[],[f5787]) ).
fof(f22860,plain,
( spl6_683
| ~ spl6_285
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8789,f8701,f4744,f22857]) ).
fof(f22857,plain,
( spl6_683
<=> sdtlseqdt0(xr,sdtasdt0(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_683])]) ).
fof(f8789,plain,
( sdtlseqdt0(xr,sdtasdt0(xr,xk))
| ~ spl6_285
| ~ spl6_394 ),
inference(superposition,[],[f4746,f8703]) ).
fof(f22855,plain,
( spl6_682
| ~ spl6_284
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8788,f8701,f4714,f22852]) ).
fof(f22852,plain,
( spl6_682
<=> sdtlseqdt0(xr,sdtasdt0(xk,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_682])]) ).
fof(f8788,plain,
( sdtlseqdt0(xr,sdtasdt0(xk,xp))
| ~ spl6_284
| ~ spl6_394 ),
inference(superposition,[],[f4716,f8703]) ).
fof(f22850,plain,
( ~ spl6_681
| spl6_283
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8787,f8701,f4679,f22847]) ).
fof(f8787,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xr)
| spl6_283
| ~ spl6_394 ),
inference(superposition,[],[f4680,f8703]) ).
fof(f22845,plain,
( ~ spl6_680
| spl6_210
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8775,f8701,f3319,f22842]) ).
fof(f22842,plain,
( spl6_680
<=> xr = sdtasdt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_680])]) ).
fof(f8775,plain,
( xr != sdtasdt0(xn,xr)
| spl6_210
| ~ spl6_394 ),
inference(superposition,[],[f3320,f8703]) ).
fof(f22809,plain,
( spl6_679
| ~ spl6_133
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8762,f8701,f1934,f22806]) ).
fof(f1934,plain,
( spl6_133
<=> sz10 = sdtpldt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f8762,plain,
( sz10 = sdtpldt0(sz10,xr)
| ~ spl6_133
| ~ spl6_394 ),
inference(superposition,[],[f1936,f8703]) ).
fof(f1936,plain,
( sz10 = sdtpldt0(sz10,xm)
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f22576,plain,
( ~ spl6_678
| ~ spl6_2
| ~ spl6_145
| spl6_207
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8829,f8701,f3304,f2166,f260,f22573]) ).
fof(f22573,plain,
( spl6_678
<=> sP0(sdtasdt0(xr,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_678])]) ).
fof(f8829,plain,
( ~ sP0(sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_145
| spl6_207
| ~ spl6_394 ),
inference(forward_demodulation,[],[f8773,f2475]) ).
fof(f8773,plain,
( ~ sP0(sdtasdt0(xn,xr))
| spl6_207
| ~ spl6_394 ),
inference(superposition,[],[f3306,f8703]) ).
fof(f22571,plain,
( spl6_677
| ~ spl6_2
| ~ spl6_134
| ~ spl6_145
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8826,f8701,f2166,f1952,f260,f22568]) ).
fof(f8826,plain,
( aNaturalNumber0(sdtasdt0(xr,xn))
| ~ spl6_2
| ~ spl6_134
| ~ spl6_145
| ~ spl6_394 ),
inference(forward_demodulation,[],[f8763,f2475]) ).
fof(f8763,plain,
( aNaturalNumber0(sdtasdt0(xn,xr))
| ~ spl6_134
| ~ spl6_394 ),
inference(superposition,[],[f1953,f8703]) ).
fof(f22566,plain,
( ~ spl6_676
| spl6_294
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8795,f8701,f5783,f22563]) ).
fof(f8795,plain,
( ~ aNaturalNumber0(sdtasdt0(xr,xk))
| spl6_294
| ~ spl6_394 ),
inference(superposition,[],[f5785,f8703]) ).
fof(f22556,plain,
( spl6_675
| ~ spl6_162
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f22027,f8701,f2709,f22553]) ).
fof(f22553,plain,
( spl6_675
<=> iLess0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_675])]) ).
fof(f2709,plain,
( spl6_162
<=> iLess0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f22027,plain,
( iLess0(xr,xp)
| ~ spl6_162
| ~ spl6_394 ),
inference(superposition,[],[f2711,f8703]) ).
fof(f2711,plain,
( iLess0(xm,xp)
| ~ spl6_162 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f22551,plain,
( ~ spl6_674
| spl6_126
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f8760,f8701,f1446,f22548]) ).
fof(f1446,plain,
( spl6_126
<=> sP0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f8760,plain,
( ~ sP0(xr)
| spl6_126
| ~ spl6_394 ),
inference(superposition,[],[f1448,f8703]) ).
fof(f1448,plain,
( ~ sP0(xm)
| spl6_126 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f22546,plain,
( ~ spl6_673
| spl6_12
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f22005,f8701,f310,f22543]) ).
fof(f22005,plain,
( ~ sdtlseqdt0(xp,xr)
| spl6_12
| ~ spl6_394 ),
inference(superposition,[],[f312,f8703]) ).
fof(f22192,plain,
( spl6_672
| ~ spl6_112
| ~ spl6_162
| ~ spl6_248
| ~ spl6_280
| ~ spl6_394 ),
inference(avatar_split_clause,[],[f21991,f8701,f4415,f3896,f2709,f1140,f22189]) ).
fof(f22189,plain,
( spl6_672
<=> iLess0(xr,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_672])]) ).
fof(f1140,plain,
( spl6_112
<=> xr = sdtpldt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f21991,plain,
( iLess0(xr,xr)
| ~ spl6_112
| ~ spl6_162
| ~ spl6_248
| ~ spl6_280
| ~ spl6_394 ),
inference(forward_demodulation,[],[f8767,f21985]) ).
fof(f21985,plain,
( xp = xr
| ~ spl6_112
| ~ spl6_248
| ~ spl6_280
| ~ spl6_394 ),
inference(forward_demodulation,[],[f8781,f5770]) ).
fof(f5770,plain,
( xr = sdtpldt0(xr,xp)
| ~ spl6_112
| ~ spl6_280 ),
inference(superposition,[],[f1142,f4417]) ).
fof(f1142,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl6_112 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f8781,plain,
( xp = sdtpldt0(xr,xp)
| ~ spl6_248
| ~ spl6_394 ),
inference(superposition,[],[f3898,f8703]) ).
fof(f3898,plain,
( xp = sdtpldt0(xm,xp)
| ~ spl6_248 ),
inference(avatar_component_clause,[],[f3896]) ).
fof(f8767,plain,
( iLess0(xr,xp)
| ~ spl6_162
| ~ spl6_394 ),
inference(superposition,[],[f2711,f8703]) ).
fof(f21964,plain,
( spl6_671
| ~ spl6_5
| ~ spl6_2
| spl6_394
| ~ spl6_203
| spl6_279 ),
inference(avatar_split_clause,[],[f4411,f4405,f3170,f8701,f260,f275,f21961]) ).
fof(f4411,plain,
( xm = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| iLess0(xm,xr)
| ~ spl6_203
| spl6_279 ),
inference(resolution,[],[f4407,f3171]) ).
fof(f21954,plain,
( ~ spl6_2
| ~ spl6_5
| spl6_670
| ~ spl6_71
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f5358,f4405,f748,f21951,f275,f260]) ).
fof(f21951,plain,
( spl6_670
<=> xm = sdtpldt0(xr,sdtmndt0(xm,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_670])]) ).
fof(f5358,plain,
( xm = sdtpldt0(xr,sdtmndt0(xm,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl6_71
| ~ spl6_279 ),
inference(resolution,[],[f4406,f749]) ).
fof(f21916,plain,
( ~ spl6_2
| ~ spl6_5
| spl6_669
| ~ spl6_70
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f5357,f4405,f744,f21913,f275,f260]) ).
fof(f21913,plain,
( spl6_669
<=> xm = sdtpldt0(xr,sK5(xr,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_669])]) ).
fof(f5357,plain,
( xm = sdtpldt0(xr,sK5(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl6_70
| ~ spl6_279 ),
inference(resolution,[],[f4406,f745]) ).
fof(f21911,plain,
( spl6_668
| ~ spl6_8
| ~ spl6_142
| ~ spl6_240
| ~ spl6_275 ),
inference(avatar_split_clause,[],[f4858,f4379,f3710,f2154,f290,f21909]) ).
fof(f21909,plain,
( spl6_668
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_668])]) ).
fof(f3710,plain,
( spl6_240
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f4858,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_142
| ~ spl6_240
| ~ spl6_275 ),
inference(forward_demodulation,[],[f3791,f4381]) ).
fof(f4381,plain,
( sz10 = sdtpldt0(xm,sz10)
| ~ spl6_275 ),
inference(avatar_component_clause,[],[f4379]) ).
fof(f3791,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(xm,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_142
| ~ spl6_240 ),
inference(forward_demodulation,[],[f3774,f2198]) ).
fof(f2198,plain,
( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
| ~ spl6_8
| ~ spl6_142 ),
inference(resolution,[],[f2155,f292]) ).
fof(f3774,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xm) = sdtpldt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_240 ),
inference(resolution,[],[f3711,f292]) ).
fof(f3711,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_240 ),
inference(avatar_component_clause,[],[f3710]) ).
fof(f21907,plain,
( spl6_667
| ~ spl6_6
| ~ spl6_142
| ~ spl6_240
| ~ spl6_248 ),
inference(avatar_split_clause,[],[f4856,f3896,f3710,f2154,f280,f21905]) ).
fof(f4856,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xp),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_142
| ~ spl6_240
| ~ spl6_248 ),
inference(forward_demodulation,[],[f3801,f3898]) ).
fof(f3801,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xp),xm) = sdtpldt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_142
| ~ spl6_240 ),
inference(forward_demodulation,[],[f3783,f2206]) ).
fof(f2206,plain,
( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
| ~ spl6_6
| ~ spl6_142 ),
inference(resolution,[],[f2155,f282]) ).
fof(f3783,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xp),xm) = sdtpldt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_240 ),
inference(resolution,[],[f3711,f282]) ).
fof(f21903,plain,
( spl6_666
| ~ spl6_5
| ~ spl6_241
| ~ spl6_248 ),
inference(avatar_split_clause,[],[f4849,f3896,f3714,f275,f21901]) ).
fof(f4849,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(sdtpldt0(X0,xm),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_241
| ~ spl6_248 ),
inference(forward_demodulation,[],[f3815,f3898]) ).
fof(f3815,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,xp)) = sdtpldt0(sdtpldt0(X0,xm),xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_241 ),
inference(resolution,[],[f3715,f277]) ).
fof(f21899,plain,
( spl6_665
| ~ spl6_5
| ~ spl6_271
| ~ spl6_275 ),
inference(avatar_split_clause,[],[f4791,f4379,f4222,f275,f21897]) ).
fof(f4222,plain,
( spl6_271
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f4791,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_271
| ~ spl6_275 ),
inference(forward_demodulation,[],[f4281,f4381]) ).
fof(f4281,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xm,sz10)) = sdtpldt0(sdtpldt0(X0,xm),sz10)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_271 ),
inference(resolution,[],[f4223,f277]) ).
fof(f4223,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X0) )
| ~ spl6_271 ),
inference(avatar_component_clause,[],[f4222]) ).
fof(f21894,plain,
( spl6_183
| ~ spl6_2
| ~ spl6_146
| ~ spl6_206 ),
inference(avatar_split_clause,[],[f5036,f3183,f2170,f260,f2972]) ).
fof(f2972,plain,
( spl6_183
<=> xm = sdtasdt0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f3183,plain,
( spl6_206
<=> xm = sdtasdt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f5036,plain,
( xm = sdtasdt0(xr,xm)
| ~ spl6_2
| ~ spl6_146
| ~ spl6_206 ),
inference(forward_demodulation,[],[f2501,f3185]) ).
fof(f3185,plain,
( xm = sdtasdt0(xm,xr)
| ~ spl6_206 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f21892,plain,
( spl6_664
| ~ spl6_2
| ~ spl6_183
| ~ spl6_245 ),
inference(avatar_split_clause,[],[f3927,f3731,f2972,f260,f21890]) ).
fof(f21890,plain,
( spl6_664
<=> ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xr),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_664])]) ).
fof(f3927,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xr),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_183
| ~ spl6_245 ),
inference(forward_demodulation,[],[f3911,f2974]) ).
fof(f2974,plain,
( xm = sdtasdt0(xr,xm)
| ~ spl6_183 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f3911,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xr),xm) = sdtasdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_245 ),
inference(resolution,[],[f3732,f262]) ).
fof(f21888,plain,
( spl6_663
| ~ spl6_2
| ~ spl6_234
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3803,f3710,f3623,f260,f21886]) ).
fof(f21886,plain,
( spl6_663
<=> ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(sdtpldt0(X0,xr),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_663])]) ).
fof(f3623,plain,
( spl6_234
<=> xr = sdtpldt0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f3803,plain,
( ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(sdtpldt0(X0,xr),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_234
| ~ spl6_240 ),
inference(forward_demodulation,[],[f3784,f3625]) ).
fof(f3625,plain,
( xr = sdtpldt0(xr,xm)
| ~ spl6_234 ),
inference(avatar_component_clause,[],[f3623]) ).
fof(f3784,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xr),xm) = sdtpldt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_240 ),
inference(resolution,[],[f3711,f262]) ).
fof(f21884,plain,
( spl6_662
| ~ spl6_5
| ~ spl6_219
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3800,f3710,f3392,f275,f21882]) ).
fof(f21882,plain,
( spl6_662
<=> ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_662])]) ).
fof(f3392,plain,
( spl6_219
<=> xm = sdtpldt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f3800,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(sdtpldt0(X0,xm),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_219
| ~ spl6_240 ),
inference(forward_demodulation,[],[f3782,f3394]) ).
fof(f3394,plain,
( xm = sdtpldt0(xm,xm)
| ~ spl6_219 ),
inference(avatar_component_clause,[],[f3392]) ).
fof(f3782,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xm) = sdtpldt0(X0,sdtpldt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_240 ),
inference(resolution,[],[f3711,f277]) ).
fof(f21870,plain,
( spl6_661
| ~ spl6_4
| ~ spl6_211
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f3799,f3710,f3324,f270,f21868]) ).
fof(f21868,plain,
( spl6_661
<=> ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_661])]) ).
fof(f3799,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xn),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_211
| ~ spl6_240 ),
inference(forward_demodulation,[],[f3781,f3326]) ).
fof(f3326,plain,
( xn = sdtpldt0(xn,xm)
| ~ spl6_211 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3781,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xn,xm)) = sdtpldt0(sdtpldt0(X0,xn),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_240 ),
inference(resolution,[],[f3711,f272]) ).
fof(f21866,plain,
( spl6_660
| ~ spl6_5
| ~ spl6_140
| ~ spl6_211
| ~ spl6_239 ),
inference(avatar_split_clause,[],[f3769,f3706,f3324,f2145,f275,f21864]) ).
fof(f3706,plain,
( spl6_239
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f3769,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xm),xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_140
| ~ spl6_211
| ~ spl6_239 ),
inference(forward_demodulation,[],[f3768,f3326]) ).
fof(f3768,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xn) = sdtpldt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_140
| ~ spl6_239 ),
inference(forward_demodulation,[],[f3751,f2189]) ).
fof(f3751,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xn) = sdtpldt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_239 ),
inference(resolution,[],[f3707,f277]) ).
fof(f3707,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X0) )
| ~ spl6_239 ),
inference(avatar_component_clause,[],[f3706]) ).
fof(f21862,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_659
| ~ spl6_16
| ~ spl6_226 ),
inference(avatar_split_clause,[],[f3494,f3475,f330,f21859,f280,f270]) ).
fof(f21859,plain,
( spl6_659
<=> xm = sdtasdt0(sK5(xn,xp),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_659])]) ).
fof(f330,plain,
( spl6_16
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f3475,plain,
( spl6_226
<=> ! [X0,X1] :
( xm = sdtasdt0(sK5(X0,X1),xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f3494,plain,
( xm = sdtasdt0(sK5(xn,xp),xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_16
| ~ spl6_226 ),
inference(resolution,[],[f3476,f332]) ).
fof(f332,plain,
( sdtlseqdt0(xn,xp)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f3476,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xm = sdtasdt0(sK5(X0,X1),xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_226 ),
inference(avatar_component_clause,[],[f3475]) ).
fof(f21857,plain,
( spl6_658
| ~ spl6_8
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3131,f3127,f290,f21855]) ).
fof(f21855,plain,
( spl6_658
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(xm,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_658])]) ).
fof(f3127,plain,
( spl6_198
<=> ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(xm,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f3131,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(xm,sdtasdt0(sz10,X0)) )
| ~ spl6_8
| ~ spl6_198 ),
inference(resolution,[],[f3128,f292]) ).
fof(f3128,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(xm,sdtasdt0(X1,X0)) )
| ~ spl6_198 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f21852,plain,
( spl6_657
| ~ spl6_7
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3130,f3127,f285,f21850]) ).
fof(f3130,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(xm,sdtasdt0(sz00,X0)) )
| ~ spl6_7
| ~ spl6_198 ),
inference(resolution,[],[f3128,f287]) ).
fof(f21848,plain,
( spl6_656
| ~ spl6_7
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f3094,f3091,f285,f21846]) ).
fof(f21846,plain,
( spl6_656
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_656])]) ).
fof(f3091,plain,
( spl6_195
<=> ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f3094,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),xm) )
| ~ spl6_7
| ~ spl6_195 ),
inference(resolution,[],[f3092,f287]) ).
fof(f3092,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xm) )
| ~ spl6_195 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f21844,plain,
( spl6_655
| ~ spl6_8
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f3056,f3052,f290,f21842]) ).
fof(f21842,plain,
( spl6_655
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(xm,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_655])]) ).
fof(f3052,plain,
( spl6_191
<=> ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(xm,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f3056,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(xm,sdtpldt0(sz10,X0)) )
| ~ spl6_8
| ~ spl6_191 ),
inference(resolution,[],[f3053,f292]) ).
fof(f3053,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ spl6_191 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f21840,plain,
( spl6_197
| ~ spl6_2
| ~ spl6_103
| ~ spl6_147
| ~ spl6_280
| ~ spl6_638 ),
inference(avatar_split_clause,[],[f21558,f21372,f4415,f2174,f1095,f260,f3122]) ).
fof(f3122,plain,
( spl6_197
<=> xm = sdtasdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f1095,plain,
( spl6_103
<=> sz00 = sdtasdt0(xr,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f21372,plain,
( spl6_638
<=> ! [X0] :
( xm = sdtasdt0(xm,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_638])]) ).
fof(f21558,plain,
( xm = sdtasdt0(xm,xp)
| ~ spl6_2
| ~ spl6_103
| ~ spl6_147
| ~ spl6_280
| ~ spl6_638 ),
inference(forward_demodulation,[],[f21557,f5762]) ).
fof(f5762,plain,
( xp = sdtasdt0(xr,xp)
| ~ spl6_103
| ~ spl6_280 ),
inference(superposition,[],[f1097,f4417]) ).
fof(f1097,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f21557,plain,
( xm = sdtasdt0(xm,sdtasdt0(xr,xp))
| ~ spl6_2
| ~ spl6_147
| ~ spl6_638 ),
inference(forward_demodulation,[],[f21541,f2525]) ).
fof(f21541,plain,
( xm = sdtasdt0(xm,sdtasdt0(xp,xr))
| ~ spl6_2
| ~ spl6_638 ),
inference(resolution,[],[f21373,f262]) ).
fof(f21373,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(xp,X0)) )
| ~ spl6_638 ),
inference(avatar_component_clause,[],[f21372]) ).
fof(f21838,plain,
( spl6_654
| ~ spl6_7
| ~ spl6_191 ),
inference(avatar_split_clause,[],[f3055,f3052,f285,f21836]) ).
fof(f3055,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(xm,sdtpldt0(sz00,X0)) )
| ~ spl6_7
| ~ spl6_191 ),
inference(resolution,[],[f3053,f287]) ).
fof(f21834,plain,
( spl6_653
| ~ spl6_7
| ~ spl6_188 ),
inference(avatar_split_clause,[],[f3024,f3016,f285,f21832]) ).
fof(f21832,plain,
( spl6_653
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_653])]) ).
fof(f3016,plain,
( spl6_188
<=> ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f3024,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),xm) )
| ~ spl6_7
| ~ spl6_188 ),
inference(resolution,[],[f3017,f287]) ).
fof(f3017,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xm) )
| ~ spl6_188 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f21830,plain,
( spl6_652
| ~ spl6_134
| ~ spl6_153 ),
inference(avatar_split_clause,[],[f2597,f2572,f1952,f21827]) ).
fof(f21827,plain,
( spl6_652
<=> sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_652])]) ).
fof(f2597,plain,
( sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_153 ),
inference(resolution,[],[f2573,f1953]) ).
fof(f21825,plain,
( spl6_651
| ~ spl6_134
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f2545,f2178,f1952,f21822]) ).
fof(f21822,plain,
( spl6_651
<=> sdtasdt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_651])]) ).
fof(f2545,plain,
( sdtasdt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xr,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_148 ),
inference(resolution,[],[f2179,f1953]) ).
fof(f21820,plain,
( spl6_650
| ~ spl6_648
| ~ spl6_649 ),
inference(avatar_split_clause,[],[f21766,f21621,f21615,f21817]) ).
fof(f21817,plain,
( spl6_650
<=> xm = sdtasdt0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_650])]) ).
fof(f21615,plain,
( spl6_648
<=> sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_648])]) ).
fof(f21621,plain,
( spl6_649
<=> xm = sdtasdt0(sdtasdt0(xn,xm),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_649])]) ).
fof(f21766,plain,
( xm = sdtasdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_648
| ~ spl6_649 ),
inference(forward_demodulation,[],[f21617,f21623]) ).
fof(f21623,plain,
( xm = sdtasdt0(sdtasdt0(xn,xm),xm)
| ~ spl6_649 ),
inference(avatar_component_clause,[],[f21621]) ).
fof(f21617,plain,
( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_648 ),
inference(avatar_component_clause,[],[f21615]) ).
fof(f21765,plain,
( spl6_125
| ~ spl6_6
| ~ spl6_105
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f11622,f4415,f3122,f2170,f1105,f280,f1245]) ).
fof(f11622,plain,
( sz00 = xm
| ~ spl6_6
| ~ spl6_105
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4417,f11123]) ).
fof(f11123,plain,
( xm = xp
| ~ spl6_6
| ~ spl6_105
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(forward_demodulation,[],[f5764,f5037]) ).
fof(f5037,plain,
( xm = sdtasdt0(xp,xm)
| ~ spl6_6
| ~ spl6_146
| ~ spl6_197 ),
inference(forward_demodulation,[],[f2500,f3124]) ).
fof(f3124,plain,
( xm = sdtasdt0(xm,xp)
| ~ spl6_197 ),
inference(avatar_component_clause,[],[f3122]) ).
fof(f5764,plain,
( xp = sdtasdt0(xp,xm)
| ~ spl6_105
| ~ spl6_280 ),
inference(superposition,[],[f1107,f4417]) ).
fof(f21625,plain,
( spl6_197
| ~ spl6_7
| ~ spl6_111
| ~ spl6_635 ),
inference(avatar_split_clause,[],[f21515,f21359,f1135,f285,f3122]) ).
fof(f1135,plain,
( spl6_111
<=> xp = sdtpldt0(xp,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f21359,plain,
( spl6_635
<=> ! [X0] :
( xm = sdtasdt0(xm,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_635])]) ).
fof(f21515,plain,
( xm = sdtasdt0(xm,xp)
| ~ spl6_7
| ~ spl6_111
| ~ spl6_635 ),
inference(forward_demodulation,[],[f21499,f1137]) ).
fof(f1137,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f21499,plain,
( xm = sdtasdt0(xm,sdtpldt0(xp,sz00))
| ~ spl6_7
| ~ spl6_635 ),
inference(resolution,[],[f21360,f287]) ).
fof(f21360,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(xp,X0)) )
| ~ spl6_635 ),
inference(avatar_component_clause,[],[f21359]) ).
fof(f21624,plain,
( spl6_649
| ~ spl6_134
| ~ spl6_631
| ~ spl6_635
| ~ spl6_648 ),
inference(avatar_split_clause,[],[f21619,f21615,f21359,f21248,f1952,f21621]) ).
fof(f21619,plain,
( xm = sdtasdt0(sdtasdt0(xn,xm),xm)
| ~ spl6_134
| ~ spl6_631
| ~ spl6_635
| ~ spl6_648 ),
inference(forward_demodulation,[],[f21617,f21519]) ).
fof(f21519,plain,
( xm = sdtasdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_631
| ~ spl6_635 ),
inference(forward_demodulation,[],[f21504,f21250]) ).
fof(f21504,plain,
( xm = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xn,xm)))
| ~ spl6_134
| ~ spl6_635 ),
inference(resolution,[],[f21360,f1953]) ).
fof(f21618,plain,
( spl6_648
| ~ spl6_134
| ~ spl6_146 ),
inference(avatar_split_clause,[],[f2495,f2170,f1952,f21615]) ).
fof(f2495,plain,
( sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_146 ),
inference(resolution,[],[f2171,f1953]) ).
fof(f21613,plain,
( spl6_647
| ~ spl6_134
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f2469,f2166,f1952,f21610]) ).
fof(f21610,plain,
( spl6_647
<=> sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_647])]) ).
fof(f2469,plain,
( sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_145 ),
inference(resolution,[],[f2167,f1953]) ).
fof(f21608,plain,
( spl6_646
| ~ spl6_134
| ~ spl6_144 ),
inference(avatar_split_clause,[],[f2442,f2162,f1952,f21605]) ).
fof(f21605,plain,
( spl6_646
<=> sdtpldt0(sdtasdt0(xn,xm),xr) = sdtpldt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_646])]) ).
fof(f2442,plain,
( sdtpldt0(sdtasdt0(xn,xm),xr) = sdtpldt0(xr,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_144 ),
inference(resolution,[],[f2163,f1953]) ).
fof(f21602,plain,
( spl6_645
| ~ spl6_134
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f2368,f2158,f1952,f21599]) ).
fof(f21599,plain,
( spl6_645
<=> sdtpldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_645])]) ).
fof(f2368,plain,
( sdtpldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xp,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_143 ),
inference(resolution,[],[f1953,f2159]) ).
fof(f21597,plain,
( spl6_644
| ~ spl6_134
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f2367,f2154,f1952,f21594]) ).
fof(f21594,plain,
( spl6_644
<=> sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_644])]) ).
fof(f2367,plain,
( sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_142 ),
inference(resolution,[],[f1953,f2155]) ).
fof(f21592,plain,
( spl6_643
| ~ spl6_134
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f2366,f2145,f1952,f21589]) ).
fof(f21589,plain,
( spl6_643
<=> sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_643])]) ).
fof(f2366,plain,
( sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm))
| ~ spl6_134
| ~ spl6_140 ),
inference(resolution,[],[f1953,f2146]) ).
fof(f21587,plain,
( spl6_642
| ~ spl6_98
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f2217,f2158,f1066,f21584]) ).
fof(f21584,plain,
( spl6_642
<=> sdtpldt0(sdtasdt0(xp,xm),xp) = sdtpldt0(xp,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_642])]) ).
fof(f2217,plain,
( sdtpldt0(sdtasdt0(xp,xm),xp) = sdtpldt0(xp,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_143 ),
inference(resolution,[],[f2159,f1067]) ).
fof(f21581,plain,
( spl6_641
| ~ spl6_98
| ~ spl6_142 ),
inference(avatar_split_clause,[],[f2201,f2154,f1066,f21578]) ).
fof(f21578,plain,
( spl6_641
<=> sdtpldt0(sdtasdt0(xp,xm),xm) = sdtpldt0(xm,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_641])]) ).
fof(f2201,plain,
( sdtpldt0(sdtasdt0(xp,xm),xm) = sdtpldt0(xm,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_142 ),
inference(resolution,[],[f2155,f1067]) ).
fof(f21575,plain,
( spl6_640
| ~ spl6_98
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f2185,f2145,f1066,f21572]) ).
fof(f21572,plain,
( spl6_640
<=> sdtpldt0(sdtasdt0(xp,xm),xn) = sdtpldt0(xn,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_640])]) ).
fof(f2185,plain,
( sdtpldt0(sdtasdt0(xp,xm),xn) = sdtpldt0(xn,sdtasdt0(xp,xm))
| ~ spl6_98
| ~ spl6_140 ),
inference(resolution,[],[f2146,f1067]) ).
fof(f21565,plain,
( ~ spl6_2
| ~ spl6_5
| spl6_394
| spl6_639
| ~ spl6_64
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f5355,f4405,f668,f21562,f8701,f275,f260]) ).
fof(f21562,plain,
( spl6_639
<=> iLess0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_639])]) ).
fof(f5355,plain,
( iLess0(xr,xm)
| xm = xr
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl6_64
| ~ spl6_279 ),
inference(resolution,[],[f4406,f669]) ).
fof(f21374,plain,
( spl6_638
| ~ spl6_280
| ~ spl6_624 ),
inference(avatar_split_clause,[],[f21212,f21209,f4415,f21372]) ).
fof(f21209,plain,
( spl6_624
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_624])]) ).
fof(f21212,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_624 ),
inference(forward_demodulation,[],[f21210,f4417]) ).
fof(f21210,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(sz00,X0)) )
| ~ spl6_624 ),
inference(avatar_component_clause,[],[f21209]) ).
fof(f21370,plain,
( spl6_637
| ~ spl6_280
| ~ spl6_622 ),
inference(avatar_split_clause,[],[f21203,f21200,f4415,f21368]) ).
fof(f21368,plain,
( spl6_637
<=> ! [X0] :
( xm = sdtasdt0(sdtasdt0(xp,X0),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_637])]) ).
fof(f21200,plain,
( spl6_622
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(sz00,X0),xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_622])]) ).
fof(f21203,plain,
( ! [X0] :
( xm = sdtasdt0(sdtasdt0(xp,X0),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_622 ),
inference(forward_demodulation,[],[f21201,f4417]) ).
fof(f21201,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(sz00,X0),xm) )
| ~ spl6_622 ),
inference(avatar_component_clause,[],[f21200]) ).
fof(f21366,plain,
( ~ spl6_5
| ~ spl6_2
| spl6_636
| ~ spl6_68
| ~ spl6_254 ),
inference(avatar_split_clause,[],[f7505,f4020,f686,f21363,f260,f275]) ).
fof(f4020,plain,
( spl6_254
<=> xr = sdtpldt0(xm,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f7505,plain,
( sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl6_68
| ~ spl6_254 ),
inference(duplicate_literal_removal,[],[f7492]) ).
fof(f7492,plain,
( sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl6_68
| ~ spl6_254 ),
inference(superposition,[],[f687,f4022]) ).
fof(f4022,plain,
( xr = sdtpldt0(xm,xr)
| ~ spl6_254 ),
inference(avatar_component_clause,[],[f4020]) ).
fof(f21361,plain,
( spl6_635
| ~ spl6_280
| ~ spl6_619 ),
inference(avatar_split_clause,[],[f21187,f21184,f4415,f21359]) ).
fof(f21184,plain,
( spl6_619
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_619])]) ).
fof(f21187,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_619 ),
inference(forward_demodulation,[],[f21185,f4417]) ).
fof(f21185,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(sz00,X0)) )
| ~ spl6_619 ),
inference(avatar_component_clause,[],[f21184]) ).
fof(f21267,plain,
( ~ spl6_634
| ~ spl6_280
| spl6_633 ),
inference(avatar_split_clause,[],[f21262,f21258,f4415,f21264]) ).
fof(f21262,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,xm))
| ~ spl6_280
| spl6_633 ),
inference(forward_demodulation,[],[f21260,f4417]) ).
fof(f21260,plain,
( ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| spl6_633 ),
inference(avatar_component_clause,[],[f21258]) ).
fof(f21261,plain,
( ~ spl6_5
| ~ spl6_633
| spl6_125
| ~ spl6_61
| ~ spl6_391 ),
inference(avatar_split_clause,[],[f11681,f8685,f654,f1245,f21258,f275]) ).
fof(f654,plain,
( spl6_61
<=> ! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f11681,plain,
( sz00 = xm
| ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_61
| ~ spl6_391 ),
inference(trivial_inequality_removal,[],[f11665]) ).
fof(f11665,plain,
( sz00 != sz00
| sz00 = xm
| ~ aNaturalNumber0(sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_61
| ~ spl6_391 ),
inference(superposition,[],[f655,f8687]) ).
fof(f655,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f21256,plain,
( spl6_632
| ~ spl6_39
| ~ spl6_134
| ~ spl6_143
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5233,f4415,f2158,f1952,f441,f21253]) ).
fof(f21253,plain,
( spl6_632
<=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_632])]) ).
fof(f5233,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),xp)
| ~ spl6_39
| ~ spl6_134
| ~ spl6_143
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2368,f5232]) ).
fof(f5232,plain,
( sdtasdt0(xn,xm) = sdtpldt0(xp,sdtasdt0(xn,xm))
| ~ spl6_39
| ~ spl6_134
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2357,f4417]) ).
fof(f2357,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm))
| ~ spl6_39
| ~ spl6_134 ),
inference(resolution,[],[f1953,f442]) ).
fof(f21251,plain,
( spl6_631
| ~ spl6_39
| ~ spl6_134
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5232,f4415,f1952,f441,f21248]) ).
fof(f21242,plain,
( ~ spl6_5
| spl6_630
| ~ spl6_8
| ~ spl6_133
| ~ spl6_274 ),
inference(avatar_split_clause,[],[f4347,f4235,f1934,f290,f21239,f275]) ).
fof(f4235,plain,
( spl6_274
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f4347,plain,
( ~ aNaturalNumber0(sz10)
| xm = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(xm)
| ~ spl6_133
| ~ spl6_274 ),
inference(duplicate_literal_removal,[],[f4340]) ).
fof(f4340,plain,
( ~ aNaturalNumber0(sz10)
| xm = sdtmndt0(sz10,sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ spl6_133
| ~ spl6_274 ),
inference(superposition,[],[f4236,f1936]) ).
fof(f4236,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X0))
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_274 ),
inference(avatar_component_clause,[],[f4235]) ).
fof(f21232,plain,
( spl6_629
| ~ spl6_26
| ~ spl6_233 ),
inference(avatar_split_clause,[],[f3617,f3591,f385,f21230]) ).
fof(f21230,plain,
( spl6_629
<=> ! [X0] :
( xm = sdtasdt0(xm,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_629])]) ).
fof(f3591,plain,
( spl6_233
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f3617,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_233 ),
inference(duplicate_literal_removal,[],[f3594]) ).
fof(f3594,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sdtmndt0(X0,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_233 ),
inference(resolution,[],[f3592,f386]) ).
fof(f3592,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xm = sdtasdt0(xm,sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_233 ),
inference(avatar_component_clause,[],[f3591]) ).
fof(f21228,plain,
( spl6_628
| ~ spl6_26
| ~ spl6_231 ),
inference(avatar_split_clause,[],[f3580,f3554,f385,f21226]) ).
fof(f21226,plain,
( spl6_628
<=> ! [X0] :
( xm = sdtasdt0(sdtmndt0(X0,X0),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_628])]) ).
fof(f3554,plain,
( spl6_231
<=> ! [X0,X1] :
( xm = sdtasdt0(sdtmndt0(X1,X0),xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f3580,plain,
( ! [X0] :
( xm = sdtasdt0(sdtmndt0(X0,X0),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_231 ),
inference(duplicate_literal_removal,[],[f3557]) ).
fof(f3557,plain,
( ! [X0] :
( xm = sdtasdt0(sdtmndt0(X0,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_231 ),
inference(resolution,[],[f3555,f386]) ).
fof(f3555,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xm = sdtasdt0(sdtmndt0(X1,X0),xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_231 ),
inference(avatar_component_clause,[],[f3554]) ).
fof(f21224,plain,
( spl6_627
| ~ spl6_26
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f3543,f3517,f385,f21222]) ).
fof(f21222,plain,
( spl6_627
<=> ! [X0] :
( xm = sdtasdt0(xm,sK5(X0,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_627])]) ).
fof(f3517,plain,
( spl6_229
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f3543,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sK5(X0,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_229 ),
inference(duplicate_literal_removal,[],[f3520]) ).
fof(f3520,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sK5(X0,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_229 ),
inference(resolution,[],[f3518,f386]) ).
fof(f3518,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| xm = sdtasdt0(xm,sK5(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_229 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f21220,plain,
( spl6_626
| ~ spl6_26
| ~ spl6_226 ),
inference(avatar_split_clause,[],[f3506,f3475,f385,f21218]) ).
fof(f21218,plain,
( spl6_626
<=> ! [X0] :
( xm = sdtasdt0(sK5(X0,X0),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_626])]) ).
fof(f3506,plain,
( ! [X0] :
( xm = sdtasdt0(sK5(X0,X0),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_226 ),
inference(duplicate_literal_removal,[],[f3483]) ).
fof(f3483,plain,
( ! [X0] :
( xm = sdtasdt0(sK5(X0,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_226 ),
inference(resolution,[],[f3476,f386]) ).
fof(f21216,plain,
( spl6_625
| ~ spl6_8
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2920,f2916,f290,f21214]) ).
fof(f21214,plain,
( spl6_625
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_625])]) ).
fof(f2916,plain,
( spl6_176
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f2920,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(sz10,X0)) )
| ~ spl6_8
| ~ spl6_176 ),
inference(resolution,[],[f2917,f292]) ).
fof(f2917,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(X1,X0)) )
| ~ spl6_176 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f21211,plain,
( spl6_624
| ~ spl6_7
| ~ spl6_176 ),
inference(avatar_split_clause,[],[f2919,f2916,f285,f21209]) ).
fof(f2919,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtasdt0(sz00,X0)) )
| ~ spl6_7
| ~ spl6_176 ),
inference(resolution,[],[f2917,f287]) ).
fof(f21207,plain,
( spl6_623
| ~ spl6_8
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2884,f2880,f290,f21205]) ).
fof(f21205,plain,
( spl6_623
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(sz10,X0),xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_623])]) ).
fof(f2880,plain,
( spl6_173
<=> ! [X0,X1] :
( xm = sdtasdt0(sdtasdt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f2884,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(sz10,X0),xm) )
| ~ spl6_8
| ~ spl6_173 ),
inference(resolution,[],[f2881,f292]) ).
fof(f2881,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(X1,X0),xm) )
| ~ spl6_173 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f21202,plain,
( spl6_622
| ~ spl6_7
| ~ spl6_173 ),
inference(avatar_split_clause,[],[f2883,f2880,f285,f21200]) ).
fof(f2883,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtasdt0(sz00,X0),xm) )
| ~ spl6_7
| ~ spl6_173 ),
inference(resolution,[],[f2881,f287]) ).
fof(f21198,plain,
( spl6_621
| ~ spl6_8
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2853,f2849,f290,f21196]) ).
fof(f21196,plain,
( spl6_621
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_621])]) ).
fof(f2849,plain,
( spl6_171
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f2853,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(sz10,X0)) )
| ~ spl6_8
| ~ spl6_171 ),
inference(resolution,[],[f2850,f292]) ).
fof(f2850,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(X1,X0)) )
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f21192,plain,
( ~ spl6_5
| ~ spl6_4
| spl6_620
| ~ spl6_68
| ~ spl6_242 ),
inference(avatar_split_clause,[],[f7161,f3718,f686,f21189,f270,f275]) ).
fof(f21189,plain,
( spl6_620
<=> sdtlseqdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_620])]) ).
fof(f3718,plain,
( spl6_242
<=> xn = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f7161,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_68
| ~ spl6_242 ),
inference(duplicate_literal_removal,[],[f7148]) ).
fof(f7148,plain,
( sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl6_68
| ~ spl6_242 ),
inference(superposition,[],[f687,f3720]) ).
fof(f3720,plain,
( xn = sdtpldt0(xm,xn)
| ~ spl6_242 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f21186,plain,
( spl6_619
| ~ spl6_7
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2852,f2849,f285,f21184]) ).
fof(f2852,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(xm,sdtpldt0(sz00,X0)) )
| ~ spl6_7
| ~ spl6_171 ),
inference(resolution,[],[f2850,f287]) ).
fof(f21182,plain,
( spl6_618
| ~ spl6_7
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f2821,f2818,f285,f21180]) ).
fof(f21180,plain,
( spl6_618
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtpldt0(sz00,X0),xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_618])]) ).
fof(f2818,plain,
( spl6_169
<=> ! [X0,X1] :
( xm = sdtasdt0(sdtpldt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f2821,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtpldt0(sz00,X0),xm) )
| ~ spl6_7
| ~ spl6_169 ),
inference(resolution,[],[f2819,f287]) ).
fof(f2819,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xm = sdtasdt0(sdtpldt0(X1,X0),xm) )
| ~ spl6_169 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f21178,plain,
( spl6_617
| ~ spl6_41
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2359,f1952,f449,f21175]) ).
fof(f21175,plain,
( spl6_617
<=> sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_617])]) ).
fof(f21173,plain,
( spl6_616
| ~ spl6_40
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2358,f1952,f445,f21170]) ).
fof(f21167,plain,
( spl6_615
| ~ spl6_39
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2357,f1952,f441,f21164]) ).
fof(f21164,plain,
( spl6_615
<=> sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_615])]) ).
fof(f21161,plain,
( spl6_614
| ~ spl6_37
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2356,f1952,f432,f21158]) ).
fof(f21155,plain,
( spl6_613
| ~ spl6_41
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1237,f1066,f449,f21152]) ).
fof(f21152,plain,
( spl6_613
<=> sdtasdt0(xp,xm) = sdtasdt0(sz10,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_613])]) ).
fof(f1237,plain,
( sdtasdt0(xp,xm) = sdtasdt0(sz10,sdtasdt0(xp,xm))
| ~ spl6_41
| ~ spl6_98 ),
inference(resolution,[],[f1067,f450]) ).
fof(f21149,plain,
( spl6_612
| ~ spl6_40
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1236,f1066,f445,f21146]) ).
fof(f21146,plain,
( spl6_612
<=> sdtasdt0(xp,xm) = sdtasdt0(sdtasdt0(xp,xm),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_612])]) ).
fof(f21143,plain,
( spl6_611
| ~ spl6_39
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1235,f1066,f441,f21140]) ).
fof(f21140,plain,
( spl6_611
<=> sdtasdt0(xp,xm) = sdtpldt0(sz00,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_611])]) ).
fof(f1235,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sz00,sdtasdt0(xp,xm))
| ~ spl6_39
| ~ spl6_98 ),
inference(resolution,[],[f1067,f442]) ).
fof(f21136,plain,
( spl6_610
| ~ spl6_37
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1234,f1066,f432,f21133]) ).
fof(f21133,plain,
( spl6_610
<=> sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_610])]) ).
fof(f21111,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_17
| ~ spl6_62
| ~ spl6_227
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f6879,f4415,f3479,f658,f335,f275,f280]) ).
fof(f6879,plain,
( xm = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_62
| ~ spl6_227
| ~ spl6_280 ),
inference(forward_demodulation,[],[f6878,f4417]) ).
fof(f6878,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_62
| ~ spl6_227
| ~ spl6_280 ),
inference(trivial_inequality_removal,[],[f6877]) ).
fof(f6877,plain,
( xp != xp
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_62
| ~ spl6_227
| ~ spl6_280 ),
inference(forward_demodulation,[],[f6861,f4417]) ).
fof(f6861,plain,
( sz00 != xp
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_62
| ~ spl6_227 ),
inference(superposition,[],[f659,f3481]) ).
fof(f3481,plain,
( xp = sdtpldt0(xp,xm)
| ~ spl6_227 ),
inference(avatar_component_clause,[],[f3479]) ).
fof(f21092,plain,
( ~ spl6_609
| spl6_10
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5755,f4415,f300,f21089]) ).
fof(f21089,plain,
( spl6_609
<=> sP0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_609])]) ).
fof(f5755,plain,
( ~ sP0(xp)
| spl6_10
| ~ spl6_280 ),
inference(superposition,[],[f302,f4417]) ).
fof(f21013,plain,
( spl6_608
| ~ spl6_2
| ~ spl6_393
| ~ spl6_398 ),
inference(avatar_split_clause,[],[f9080,f8741,f8697,f260,f21010]) ).
fof(f9080,plain,
( xk = sdtsldt0(sdtasdt0(xr,xk),xr)
| ~ spl6_2
| ~ spl6_393
| ~ spl6_398 ),
inference(forward_demodulation,[],[f9060,f8699]) ).
fof(f20934,plain,
( spl6_607
| ~ spl6_280
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f20925,f20922,f4415,f20932]) ).
fof(f20932,plain,
( spl6_607
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_607])]) ).
fof(f20922,plain,
( spl6_605
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_605])]) ).
fof(f20925,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_280
| ~ spl6_605 ),
inference(forward_demodulation,[],[f20923,f4417]) ).
fof(f20923,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_605 ),
inference(avatar_component_clause,[],[f20922]) ).
fof(f20930,plain,
( spl6_606
| ~ spl6_6
| ~ spl6_276
| ~ spl6_307 ),
inference(avatar_split_clause,[],[f6035,f6008,f4384,f280,f20927]) ).
fof(f20927,plain,
( spl6_606
<=> sdtlseqdt0(xp,sdtasdt0(xp,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_606])]) ).
fof(f6008,plain,
( spl6_307
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f6035,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,sdtasdt0(xp,xk))
| ~ spl6_276
| ~ spl6_307 ),
inference(resolution,[],[f4386,f6009]) ).
fof(f6009,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtasdt0(xp,xk)) )
| ~ spl6_307 ),
inference(avatar_component_clause,[],[f6008]) ).
fof(f20924,plain,
( spl6_605
| ~ spl6_70
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1033,f1021,f744,f20922]) ).
fof(f1033,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sK5(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_70
| ~ spl6_93 ),
inference(resolution,[],[f1022,f745]) ).
fof(f20855,plain,
( spl6_604
| ~ spl6_280
| ~ spl6_603 ),
inference(avatar_split_clause,[],[f20851,f20848,f4415,f20853]) ).
fof(f20853,plain,
( spl6_604
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_604])]) ).
fof(f20848,plain,
( spl6_603
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_603])]) ).
fof(f20851,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_280
| ~ spl6_603 ),
inference(forward_demodulation,[],[f20849,f4417]) ).
fof(f20849,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_603 ),
inference(avatar_component_clause,[],[f20848]) ).
fof(f20850,plain,
( spl6_603
| ~ spl6_71
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1032,f1021,f748,f20848]) ).
fof(f1032,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtpldt0(sdtasdt0(X0,X2),sdtmndt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_71
| ~ spl6_93 ),
inference(resolution,[],[f1022,f749]) ).
fof(f20781,plain,
( spl6_602
| ~ spl6_280
| ~ spl6_601 ),
inference(avatar_split_clause,[],[f20777,f20774,f4415,f20779]) ).
fof(f20779,plain,
( spl6_602
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_602])]) ).
fof(f20774,plain,
( spl6_601
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_601])]) ).
fof(f20777,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_280
| ~ spl6_601 ),
inference(forward_demodulation,[],[f20775,f4417]) ).
fof(f20775,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X2,X1))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_601 ),
inference(avatar_component_clause,[],[f20774]) ).
fof(f20776,plain,
( spl6_601
| ~ spl6_70
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1027,f1017,f744,f20774]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sK5(sdtasdt0(X2,X0),sdtasdt0(X2,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_70
| ~ spl6_92 ),
inference(resolution,[],[f1018,f745]) ).
fof(f20707,plain,
( spl6_600
| ~ spl6_280
| ~ spl6_599 ),
inference(avatar_split_clause,[],[f20703,f20700,f4415,f20705]) ).
fof(f20705,plain,
( spl6_600
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_600])]) ).
fof(f20700,plain,
( spl6_599
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_599])]) ).
fof(f20703,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_280
| ~ spl6_599 ),
inference(forward_demodulation,[],[f20701,f4417]) ).
fof(f20701,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X2,X1))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_599 ),
inference(avatar_component_clause,[],[f20700]) ).
fof(f20702,plain,
( spl6_599
| ~ spl6_71
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1026,f1017,f748,f20700]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X1) = sdtpldt0(sdtasdt0(X2,X0),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_71
| ~ spl6_92 ),
inference(resolution,[],[f1018,f749]) ).
fof(f20698,plain,
( spl6_598
| ~ spl6_36
| ~ spl6_134
| ~ spl6_147
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5244,f4415,f2174,f1952,f428,f20695]) ).
fof(f5244,plain,
( xp = sdtasdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_36
| ~ spl6_134
| ~ spl6_147
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2519,f5231]) ).
fof(f5231,plain,
( xp = sdtasdt0(xp,sdtasdt0(xn,xm))
| ~ spl6_36
| ~ spl6_134
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2355,f4417]) ).
fof(f20692,plain,
( spl6_597
| ~ spl6_64
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1035,f1021,f668,f20690]) ).
fof(f20690,plain,
( spl6_597
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_597])]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) )
| ~ spl6_64
| ~ spl6_93 ),
inference(resolution,[],[f1022,f669]) ).
fof(f20543,plain,
( spl6_596
| ~ spl6_280
| ~ spl6_595 ),
inference(avatar_split_clause,[],[f20539,f20536,f4415,f20541]) ).
fof(f20541,plain,
( spl6_596
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_596])]) ).
fof(f20536,plain,
( spl6_595
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_595])]) ).
fof(f20539,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_280
| ~ spl6_595 ),
inference(forward_demodulation,[],[f20537,f4417]) ).
fof(f20537,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_595 ),
inference(avatar_component_clause,[],[f20536]) ).
fof(f20538,plain,
( spl6_595
| ~ spl6_66
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1034,f1021,f678,f20536]) ).
fof(f1034,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X0,X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) )
| ~ spl6_66
| ~ spl6_93 ),
inference(resolution,[],[f1022,f679]) ).
fof(f20533,plain,
( spl6_594
| ~ spl6_64
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1029,f1017,f668,f20531]) ).
fof(f20531,plain,
( spl6_594
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_594])]) ).
fof(f1029,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| iLess0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) )
| ~ spl6_64
| ~ spl6_92 ),
inference(resolution,[],[f1018,f669]) ).
fof(f20369,plain,
( spl6_593
| ~ spl6_280
| ~ spl6_592 ),
inference(avatar_split_clause,[],[f20365,f20362,f4415,f20367]) ).
fof(f20367,plain,
( spl6_593
<=> ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_593])]) ).
fof(f20362,plain,
( spl6_592
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_592])]) ).
fof(f20365,plain,
( ! [X2,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_280
| ~ spl6_592 ),
inference(forward_demodulation,[],[f20363,f4417]) ).
fof(f20363,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_592 ),
inference(avatar_component_clause,[],[f20362]) ).
fof(f20364,plain,
( spl6_592
| ~ spl6_66
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1028,f1017,f678,f20362]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,X0) = sdtasdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) )
| ~ spl6_66
| ~ spl6_92 ),
inference(resolution,[],[f1018,f679]) ).
fof(f20280,plain,
( spl6_591
| ~ spl6_280
| ~ spl6_589 ),
inference(avatar_split_clause,[],[f20271,f20268,f4415,f20278]) ).
fof(f20278,plain,
( spl6_591
<=> ! [X0,X3,X2,X1] :
( xp = X3
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_591])]) ).
fof(f20268,plain,
( spl6_589
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_589])]) ).
fof(f20271,plain,
( ! [X2,X3,X0,X1] :
( xp = X3
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_589 ),
inference(forward_demodulation,[],[f20269,f4417]) ).
fof(f20269,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_589 ),
inference(avatar_component_clause,[],[f20268]) ).
fof(f20276,plain,
( spl6_590
| ~ spl6_36
| ~ spl6_134
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5231,f4415,f1952,f428,f20273]) ).
fof(f20270,plain,
( spl6_589
| ~ spl6_81
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1052,f1037,f867,f20268]) ).
fof(f867,plain,
( spl6_81
<=> ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_81
| ~ spl6_94 ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1045,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
| sz00 = X3
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) )
| ~ spl6_81
| ~ spl6_94 ),
inference(resolution,[],[f1038,f868]) ).
fof(f868,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f19772,plain,
( spl6_588
| ~ spl6_280
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f19768,f19765,f4415,f19770]) ).
fof(f19770,plain,
( spl6_588
<=> ! [X0,X3,X2,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_588])]) ).
fof(f19765,plain,
( spl6_587
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_587])]) ).
fof(f19768,plain,
( ! [X2,X3,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_280
| ~ spl6_587 ),
inference(forward_demodulation,[],[f19766,f4417]) ).
fof(f19766,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_587 ),
inference(avatar_component_clause,[],[f19765]) ).
fof(f19767,plain,
( spl6_587
| ~ spl6_75
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1031,f1021,f814,f19765]) ).
fof(f1031,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X3) )
| ~ spl6_75
| ~ spl6_93 ),
inference(resolution,[],[f1022,f815]) ).
fof(f19638,plain,
( spl6_586
| ~ spl6_280
| ~ spl6_584 ),
inference(avatar_split_clause,[],[f19628,f19625,f4415,f19636]) ).
fof(f19636,plain,
( spl6_586
<=> ! [X0,X3,X2,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_586])]) ).
fof(f19625,plain,
( spl6_584
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_584])]) ).
fof(f19628,plain,
( ! [X2,X3,X0,X1] :
( xp = X2
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_280
| ~ spl6_584 ),
inference(forward_demodulation,[],[f19626,f4417]) ).
fof(f19626,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_584 ),
inference(avatar_component_clause,[],[f19625]) ).
fof(f19633,plain,
( spl6_585
| ~ spl6_36
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2355,f1952,f428,f19630]) ).
fof(f19627,plain,
( spl6_584
| ~ spl6_75
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f1025,f1017,f814,f19625]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_75
| ~ spl6_92 ),
inference(resolution,[],[f1018,f815]) ).
fof(f19623,plain,
( spl6_583
| ~ spl6_70
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f971,f949,f744,f19621]) ).
fof(f19621,plain,
( spl6_583
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK5(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_583])]) ).
fof(f949,plain,
( spl6_88
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sK5(sdtpldt0(X1,X0),sdtpldt0(X2,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_70
| ~ spl6_88 ),
inference(resolution,[],[f950,f745]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f19619,plain,
( spl6_582
| ~ spl6_71
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f970,f949,f748,f19617]) ).
fof(f19617,plain,
( spl6_582
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_582])]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X0) = sdtpldt0(sdtpldt0(X1,X0),sdtmndt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0)))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_71
| ~ spl6_88 ),
inference(resolution,[],[f950,f749]) ).
fof(f19615,plain,
( spl6_581
| ~ spl6_70
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f966,f943,f744,f19613]) ).
fof(f19613,plain,
( spl6_581
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK5(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_581])]) ).
fof(f943,plain,
( spl6_87
<=> ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f966,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sK5(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_70
| ~ spl6_87 ),
inference(resolution,[],[f944,f745]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f19611,plain,
( spl6_580
| ~ spl6_71
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f965,f943,f748,f19609]) ).
fof(f19609,plain,
( spl6_580
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_580])]) ).
fof(f965,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_71
| ~ spl6_87 ),
inference(resolution,[],[f944,f749]) ).
fof(f19544,plain,
( spl6_579
| ~ spl6_280
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f19540,f19537,f4415,f19542]) ).
fof(f19542,plain,
( spl6_579
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = xp
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_579])]) ).
fof(f19537,plain,
( spl6_578
<=> ! [X0,X1] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_578])]) ).
fof(f19540,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = xp
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_280
| ~ spl6_578 ),
inference(forward_demodulation,[],[f19538,f4417]) ).
fof(f19538,plain,
( ! [X0,X1] :
( ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_578 ),
inference(avatar_component_clause,[],[f19537]) ).
fof(f19539,plain,
( spl6_578
| ~ spl6_59
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f921,f876,f646,f19537]) ).
fof(f646,plain,
( spl6_59
<=> ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f876,plain,
( spl6_83
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f921,plain,
( ! [X0,X1] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_59
| ~ spl6_83 ),
inference(resolution,[],[f877,f647]) ).
fof(f647,plain,
( ! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f19482,plain,
( spl6_577
| ~ spl6_280
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f19472,f19469,f4415,f19480]) ).
fof(f19480,plain,
( spl6_577
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = xp
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_577])]) ).
fof(f19469,plain,
( spl6_575
<=> ! [X0,X1] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_575])]) ).
fof(f19472,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = xp
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1) )
| ~ spl6_280
| ~ spl6_575 ),
inference(forward_demodulation,[],[f19470,f4417]) ).
fof(f19470,plain,
( ! [X0,X1] :
( ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) )
| ~ spl6_575 ),
inference(avatar_component_clause,[],[f19469]) ).
fof(f19477,plain,
( spl6_576
| ~ spl6_35
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2354,f1952,f424,f19474]) ).
fof(f19474,plain,
( spl6_576
<=> sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_576])]) ).
fof(f19471,plain,
( spl6_575
| ~ spl6_56
| ~ spl6_83 ),
inference(avatar_split_clause,[],[f920,f876,f634,f19469]) ).
fof(f634,plain,
( spl6_56
<=> ! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f920,plain,
( ! [X0,X1] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| sP0(sdtpldt0(X0,X1))
| sz10 = sdtpldt0(X0,X1)
| sz00 = sdtpldt0(X0,X1) )
| ~ spl6_56
| ~ spl6_83 ),
inference(resolution,[],[f877,f635]) ).
fof(f635,plain,
( ! [X0] :
( doDivides0(sK2(X0),X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f18675,plain,
( spl6_574
| ~ spl6_64
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f973,f949,f668,f18673]) ).
fof(f18673,plain,
( spl6_574
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_574])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_64
| ~ spl6_88 ),
inference(resolution,[],[f950,f669]) ).
fof(f18671,plain,
( spl6_573
| ~ spl6_66
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f972,f949,f678,f18669]) ).
fof(f18669,plain,
( spl6_573
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_573])]) ).
fof(f972,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) )
| ~ spl6_66
| ~ spl6_88 ),
inference(resolution,[],[f950,f679]) ).
fof(f18667,plain,
( spl6_572
| ~ spl6_64
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f968,f943,f668,f18665]) ).
fof(f18665,plain,
( spl6_572
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_572])]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) )
| ~ spl6_64
| ~ spl6_87 ),
inference(resolution,[],[f944,f669]) ).
fof(f18663,plain,
( spl6_571
| ~ spl6_66
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f967,f943,f678,f18661]) ).
fof(f18661,plain,
( spl6_571
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_571])]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) )
| ~ spl6_66
| ~ spl6_87 ),
inference(resolution,[],[f944,f679]) ).
fof(f18541,plain,
( spl6_570
| ~ spl6_36
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1233,f1066,f428,f18538]) ).
fof(f18538,plain,
( spl6_570
<=> sz00 = sdtasdt0(sz00,sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_570])]) ).
fof(f1233,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xp,xm))
| ~ spl6_36
| ~ spl6_98 ),
inference(resolution,[],[f1067,f429]) ).
fof(f18419,plain,
( spl6_569
| ~ spl6_280
| ~ spl6_568 ),
inference(avatar_split_clause,[],[f18415,f18411,f4415,f18417]) ).
fof(f18417,plain,
( spl6_569
<=> ! [X0,X1] :
( xp = X1
| xp = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_569])]) ).
fof(f18411,plain,
( spl6_568
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_568])]) ).
fof(f18415,plain,
( ! [X0,X1] :
( xp = X1
| xp = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_568 ),
inference(forward_demodulation,[],[f18414,f4417]) ).
fof(f18414,plain,
( ! [X0,X1] :
( xp = sK2(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_280
| ~ spl6_568 ),
inference(forward_demodulation,[],[f18412,f4417]) ).
fof(f18412,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sK2(X1))
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_568 ),
inference(avatar_component_clause,[],[f18411]) ).
fof(f18413,plain,
( spl6_568
| ~ spl6_56
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1049,f1037,f634,f18411]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK2(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK2(X1))
| sz00 = sK2(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_56
| ~ spl6_94 ),
inference(resolution,[],[f1038,f635]) ).
fof(f18409,plain,
( spl6_567
| ~ spl6_75
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f969,f949,f814,f18407]) ).
fof(f18407,plain,
( spl6_567
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_567])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X2,X0))
| ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X3) )
| ~ spl6_75
| ~ spl6_88 ),
inference(resolution,[],[f950,f815]) ).
fof(f18405,plain,
( spl6_566
| ~ spl6_75
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f964,f943,f814,f18403]) ).
fof(f18403,plain,
( spl6_566
<=> ! [X0,X3,X2,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X0,X2))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_566])]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X3,sdtpldt0(X0,X2))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3) )
| ~ spl6_75
| ~ spl6_87 ),
inference(resolution,[],[f944,f815]) ).
fof(f18379,plain,
( spl6_565
| ~ spl6_280
| ~ spl6_564 ),
inference(avatar_split_clause,[],[f18375,f18372,f4415,f18377]) ).
fof(f18377,plain,
( spl6_565
<=> ! [X0,X3,X2,X1] :
( xp = X2
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_565])]) ).
fof(f18372,plain,
( spl6_564
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_564])]) ).
fof(f18375,plain,
( ! [X2,X3,X0,X1] :
( xp = X2
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_564 ),
inference(forward_demodulation,[],[f18373,f4417]) ).
fof(f18373,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_564 ),
inference(avatar_component_clause,[],[f18372]) ).
fof(f18374,plain,
( spl6_564
| ~ spl6_72
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f993,f957,f752,f18372]) ).
fof(f957,plain,
( spl6_90
<=> ! [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,[spl6_90])]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtsldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtsldt0(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X2,X1)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_72
| ~ spl6_90 ),
inference(resolution,[],[f958,f753]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_90 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f18346,plain,
( spl6_563
| ~ spl6_35
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1232,f1066,f424,f18343]) ).
fof(f18341,plain,
( spl6_562
| ~ spl6_280
| ~ spl6_561 ),
inference(avatar_split_clause,[],[f18337,f18334,f4415,f18339]) ).
fof(f18339,plain,
( spl6_562
<=> ! [X0,X3,X2,X1] :
( xp = X3
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_562])]) ).
fof(f18334,plain,
( spl6_561
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_561])]) ).
fof(f18337,plain,
( ! [X2,X3,X0,X1] :
( xp = X3
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_280
| ~ spl6_561 ),
inference(forward_demodulation,[],[f18335,f4417]) ).
fof(f18335,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_561 ),
inference(avatar_component_clause,[],[f18334]) ).
fof(f18336,plain,
( spl6_561
| ~ spl6_72
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f979,f953,f752,f18334]) ).
fof(f953,plain,
( spl6_89
<=> ! [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,[spl6_89])]) ).
fof(f979,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_72
| ~ spl6_89 ),
inference(resolution,[],[f954,f753]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_89 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f18328,plain,
( spl6_560
| ~ spl6_280
| ~ spl6_559 ),
inference(avatar_split_clause,[],[f18324,f18320,f4415,f18326]) ).
fof(f18326,plain,
( spl6_560
<=> ! [X0,X1] :
( xp = X1
| xp = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_560])]) ).
fof(f18320,plain,
( spl6_559
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_559])]) ).
fof(f18324,plain,
( ! [X0,X1] :
( xp = X1
| xp = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_559 ),
inference(forward_demodulation,[],[f18323,f4417]) ).
fof(f18323,plain,
( ! [X0,X1] :
( xp = sK3(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 )
| ~ spl6_280
| ~ spl6_559 ),
inference(forward_demodulation,[],[f18321,f4417]) ).
fof(f18321,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sK3(X1))
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_559 ),
inference(avatar_component_clause,[],[f18320]) ).
fof(f18322,plain,
( spl6_559
| ~ spl6_59
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1051,f1037,f646,f18320]) ).
fof(f1051,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1 )
| ~ spl6_59
| ~ spl6_94 ),
inference(duplicate_literal_removal,[],[f1050]) ).
fof(f1050,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,sK3(X1))) = sdtsldt0(sdtasdt0(X0,X1),sK3(X1))
| sz00 = sK3(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_59
| ~ spl6_94 ),
inference(resolution,[],[f1038,f647]) ).
fof(f18238,plain,
( spl6_558
| ~ spl6_280
| ~ spl6_557 ),
inference(avatar_split_clause,[],[f18234,f18231,f4415,f18236]) ).
fof(f18236,plain,
( spl6_558
<=> ! [X2,X0,X1] :
( xp = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_558])]) ).
fof(f18231,plain,
( spl6_557
<=> ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_557])]) ).
fof(f18234,plain,
( ! [X2,X0,X1] :
( xp = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_557 ),
inference(forward_demodulation,[],[f18232,f4417]) ).
fof(f18232,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sz00 = X0
| sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_557 ),
inference(avatar_component_clause,[],[f18231]) ).
fof(f18233,plain,
( spl6_557
| ~ spl6_81
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f931,f880,f867,f18231]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_81
| ~ spl6_84 ),
inference(duplicate_literal_removal,[],[f924]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X1,X2) = sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_81
| ~ spl6_84 ),
inference(resolution,[],[f881,f868]) ).
fof(f18207,plain,
( spl6_556
| ~ spl6_280
| ~ spl6_555 ),
inference(avatar_split_clause,[],[f18203,f18200,f4415,f18205]) ).
fof(f18205,plain,
( spl6_556
<=> ! [X0,X3,X2,X1] :
( xp = X3
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_556])]) ).
fof(f18200,plain,
( spl6_555
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_555])]) ).
fof(f18203,plain,
( ! [X2,X3,X0,X1] :
( xp = X3
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_280
| ~ spl6_555 ),
inference(forward_demodulation,[],[f18201,f4417]) ).
fof(f18201,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_555 ),
inference(avatar_component_clause,[],[f18200]) ).
fof(f18202,plain,
( spl6_555
| ~ spl6_72
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f902,f863,f752,f18200]) ).
fof(f863,plain,
( spl6_80
<=> ! [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,[spl6_80])]) ).
fof(f902,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_72
| ~ spl6_80 ),
inference(resolution,[],[f864,f753]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f18176,plain,
( spl6_554
| ~ spl6_280
| ~ spl6_553 ),
inference(avatar_split_clause,[],[f18172,f18169,f4415,f18174]) ).
fof(f18174,plain,
( spl6_554
<=> ! [X0,X3,X2,X1] :
( xp = X3
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_554])]) ).
fof(f18169,plain,
( spl6_553
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_553])]) ).
fof(f18172,plain,
( ! [X2,X3,X0,X1] :
( xp = X3
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_280
| ~ spl6_553 ),
inference(forward_demodulation,[],[f18170,f4417]) ).
fof(f18170,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_553 ),
inference(avatar_component_clause,[],[f18169]) ).
fof(f18171,plain,
( spl6_553
| ~ spl6_72
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f888,f859,f752,f18169]) ).
fof(f859,plain,
( spl6_79
<=> ! [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,[spl6_79])]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| sz00 = X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) )
| ~ spl6_72
| ~ spl6_79 ),
inference(resolution,[],[f860,f753]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f17866,plain,
( spl6_12
| ~ spl6_6
| ~ spl6_276
| ~ spl6_301 ),
inference(avatar_split_clause,[],[f15108,f5843,f4384,f280,f310]) ).
fof(f5843,plain,
( spl6_301
<=> ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f15108,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,xm)
| ~ spl6_276
| ~ spl6_301 ),
inference(resolution,[],[f4386,f5844]) ).
fof(f5844,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xm) )
| ~ spl6_301 ),
inference(avatar_component_clause,[],[f5843]) ).
fof(f17708,plain,
( spl6_552
| ~ spl6_280
| ~ spl6_551 ),
inference(avatar_split_clause,[],[f17704,f17701,f4415,f17706]) ).
fof(f17706,plain,
( spl6_552
<=> ! [X2,X0,X1] :
( xp = X1
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_552])]) ).
fof(f17701,plain,
( spl6_551
<=> ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_551])]) ).
fof(f17704,plain,
( ! [X2,X0,X1] :
( xp = X1
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_551 ),
inference(forward_demodulation,[],[f17702,f4417]) ).
fof(f17702,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X2))
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_551 ),
inference(avatar_component_clause,[],[f17701]) ).
fof(f17703,plain,
( spl6_551
| ~ spl6_67
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1053,f1037,f682,f17701]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_67
| ~ spl6_94 ),
inference(duplicate_literal_removal,[],[f1044]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(X1,X2),X1)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),X1)
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_94 ),
inference(resolution,[],[f1038,f683]) ).
fof(f17699,plain,
( spl6_550
| ~ spl6_54
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1001,f957,f563,f17697]) ).
fof(f17697,plain,
( spl6_550
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK5(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK5(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_550])]) ).
fof(f563,plain,
( spl6_54
<=> ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK5(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK5(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_54
| ~ spl6_90 ),
inference(resolution,[],[f958,f564]) ).
fof(f564,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f17695,plain,
( spl6_549
| ~ spl6_53
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f1000,f957,f559,f17693]) ).
fof(f17693,plain,
( spl6_549
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sK4(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK4(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_549])]) ).
fof(f559,plain,
( spl6_53
<=> ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK4(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sK4(X1,X2),X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_53
| ~ spl6_90 ),
inference(resolution,[],[f958,f560]) ).
fof(f560,plain,
( ! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f17691,plain,
( spl6_548
| ~ spl6_55
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f992,f957,f567,f17689]) ).
fof(f17689,plain,
( spl6_548
<=> ! [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,[spl6_548])]) ).
fof(f992,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) )
| ~ spl6_55
| ~ spl6_90 ),
inference(resolution,[],[f958,f568]) ).
fof(f17687,plain,
( spl6_547
| ~ spl6_54
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f987,f953,f563,f17685]) ).
fof(f17685,plain,
( spl6_547
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK5(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_547])]) ).
fof(f987,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK5(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_54
| ~ spl6_89 ),
inference(resolution,[],[f954,f564]) ).
fof(f17683,plain,
( spl6_546
| ~ spl6_53
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f986,f953,f559,f17681]) ).
fof(f17681,plain,
( spl6_546
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK4(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_546])]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK4(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_53
| ~ spl6_89 ),
inference(resolution,[],[f954,f560]) ).
fof(f17602,plain,
( spl6_545
| ~ spl6_55
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f978,f953,f567,f17600]) ).
fof(f17600,plain,
( spl6_545
<=> ! [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,[spl6_545])]) ).
fof(f978,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) )
| ~ spl6_55
| ~ spl6_89 ),
inference(resolution,[],[f954,f568]) ).
fof(f17516,plain,
( spl6_544
| ~ spl6_280
| ~ spl6_543 ),
inference(avatar_split_clause,[],[f17512,f17509,f4415,f17514]) ).
fof(f17514,plain,
( spl6_544
<=> ! [X2,X0,X1] :
( xp = X1
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_544])]) ).
fof(f17509,plain,
( spl6_543
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_543])]) ).
fof(f17512,plain,
( ! [X2,X0,X1] :
( xp = X1
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_543 ),
inference(forward_demodulation,[],[f17510,f4417]) ).
fof(f17510,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_543 ),
inference(avatar_component_clause,[],[f17509]) ).
fof(f17511,plain,
( spl6_543
| ~ spl6_48
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f999,f957,f538,f17509]) ).
fof(f538,plain,
( spl6_48
<=> ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK3(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK3(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_90 ),
inference(resolution,[],[f958,f539]) ).
fof(f539,plain,
( ! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f17486,plain,
( spl6_542
| ~ spl6_280
| ~ spl6_541 ),
inference(avatar_split_clause,[],[f17482,f17479,f4415,f17484]) ).
fof(f17484,plain,
( spl6_542
<=> ! [X2,X0,X1] :
( xp = X1
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_542])]) ).
fof(f17479,plain,
( spl6_541
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_541])]) ).
fof(f17482,plain,
( ! [X2,X0,X1] :
( xp = X1
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_541 ),
inference(forward_demodulation,[],[f17480,f4417]) ).
fof(f17480,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_541 ),
inference(avatar_component_clause,[],[f17479]) ).
fof(f17481,plain,
( spl6_541
| ~ spl6_47
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f998,f957,f534,f17479]) ).
fof(f534,plain,
( spl6_47
<=> ! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK2(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK2(X1),X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_47
| ~ spl6_90 ),
inference(resolution,[],[f958,f535]) ).
fof(f535,plain,
( ! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f17458,plain,
( spl6_540
| ~ spl6_280
| ~ spl6_539 ),
inference(avatar_split_clause,[],[f17333,f17330,f4415,f17456]) ).
fof(f17456,plain,
( spl6_540
<=> ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_540])]) ).
fof(f17330,plain,
( spl6_539
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_539])]) ).
fof(f17333,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_539 ),
inference(forward_demodulation,[],[f17331,f4417]) ).
fof(f17331,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2))) )
| ~ spl6_539 ),
inference(avatar_component_clause,[],[f17330]) ).
fof(f17334,plain,
( ~ spl6_2
| ~ spl6_26
| spl6_530 ),
inference(avatar_split_clause,[],[f16984,f16683,f385,f260]) ).
fof(f16984,plain,
( ~ aNaturalNumber0(xr)
| ~ spl6_26
| spl6_530 ),
inference(resolution,[],[f16684,f386]) ).
fof(f16684,plain,
( ~ sdtlseqdt0(xr,xr)
| spl6_530 ),
inference(avatar_component_clause,[],[f16683]) ).
fof(f17332,plain,
( spl6_539
| ~ spl6_48
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f985,f953,f538,f17330]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK3(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_48
| ~ spl6_89 ),
inference(resolution,[],[f954,f539]) ).
fof(f17307,plain,
( spl6_538
| ~ spl6_280
| ~ spl6_537 ),
inference(avatar_split_clause,[],[f17303,f17300,f4415,f17305]) ).
fof(f17305,plain,
( spl6_538
<=> ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_538])]) ).
fof(f17300,plain,
( spl6_537
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_537])]) ).
fof(f17303,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_280
| ~ spl6_537 ),
inference(forward_demodulation,[],[f17301,f4417]) ).
fof(f17301,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_537 ),
inference(avatar_component_clause,[],[f17300]) ).
fof(f17302,plain,
( spl6_537
| ~ spl6_47
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f984,f953,f534,f17300]) ).
fof(f984,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK2(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_47
| ~ spl6_89 ),
inference(resolution,[],[f954,f535]) ).
fof(f17298,plain,
( spl6_536
| ~ spl6_69
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f917,f867,f738,f17296]) ).
fof(f17296,plain,
( spl6_536
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_536])]) ).
fof(f738,plain,
( spl6_69
<=> ! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f917,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_69
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f912,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X1) = sdtasdt0(X0,sK4(X0,sdtpldt0(X2,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_69
| ~ spl6_81 ),
inference(resolution,[],[f868,f739]) ).
fof(f739,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_69 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f16884,plain,
( spl6_535
| ~ spl6_280
| ~ spl6_534 ),
inference(avatar_split_clause,[],[f16880,f16876,f4415,f16882]) ).
fof(f16882,plain,
( spl6_535
<=> ! [X0] :
( xp = X0
| xp = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_535])]) ).
fof(f16876,plain,
( spl6_534
<=> ! [X0] :
( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_534])]) ).
fof(f16880,plain,
( ! [X0] :
( xp = X0
| xp = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_280
| ~ spl6_534 ),
inference(forward_demodulation,[],[f16879,f4417]) ).
fof(f16879,plain,
( ! [X0] :
( xp = sK2(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_280
| ~ spl6_534 ),
inference(forward_demodulation,[],[f16877,f4417]) ).
fof(f16877,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK2(X0))
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_534 ),
inference(avatar_component_clause,[],[f16876]) ).
fof(f16878,plain,
( spl6_534
| ~ spl6_56
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f928,f880,f634,f16876]) ).
fof(f928,plain,
( ! [X0] :
( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0
| sz00 = sK2(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_56
| ~ spl6_84 ),
inference(resolution,[],[f881,f635]) ).
fof(f16874,plain,
( spl6_533
| ~ spl6_74
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f918,f867,f810,f16872]) ).
fof(f16872,plain,
( spl6_533
<=> ! [X0,X3,X2,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_533])]) ).
fof(f810,plain,
( spl6_74
<=> ! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f918,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) )
| ~ spl6_74
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f911,plain,
( ! [X2,X3,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X3,sdtpldt0(X2,X1))
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) )
| ~ spl6_74
| ~ spl6_81 ),
inference(resolution,[],[f868,f811]) ).
fof(f811,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f16723,plain,
( spl6_532
| ~ spl6_280
| ~ spl6_531 ),
inference(avatar_split_clause,[],[f16719,f16716,f4415,f16721]) ).
fof(f16721,plain,
( spl6_532
<=> ! [X2,X0,X1] :
( sdtpldt0(X2,X1) = xp
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_532])]) ).
fof(f16716,plain,
( spl6_531
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_531])]) ).
fof(f16719,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X2,X1) = xp
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_280
| ~ spl6_531 ),
inference(forward_demodulation,[],[f16717,f4417]) ).
fof(f16717,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_531 ),
inference(avatar_component_clause,[],[f16716]) ).
fof(f16718,plain,
( spl6_531
| ~ spl6_65
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f916,f867,f672,f16716]) ).
fof(f672,plain,
( spl6_65
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) )
| ~ spl6_65
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f913]) ).
fof(f913,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = sdtpldt0(X2,X1)
| sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_65
| ~ spl6_81 ),
inference(resolution,[],[f868,f673]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f16686,plain,
( spl6_530
| ~ spl6_375
| ~ spl6_523 ),
inference(avatar_split_clause,[],[f16633,f16579,f7935,f16683]) ).
fof(f7935,plain,
( spl6_375
<=> sdtlseqdt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f16633,plain,
( sdtlseqdt0(xr,xr)
| ~ spl6_375
| ~ spl6_523 ),
inference(superposition,[],[f7937,f16581]) ).
fof(f7937,plain,
( sdtlseqdt0(xr,xp)
| ~ spl6_375 ),
inference(avatar_component_clause,[],[f7935]) ).
fof(f16681,plain,
( spl6_529
| ~ spl6_54
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f910,f863,f563,f16679]) ).
fof(f16679,plain,
( spl6_529
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK5(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_529])]) ).
fof(f910,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK5(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_54
| ~ spl6_80 ),
inference(resolution,[],[f864,f564]) ).
fof(f16677,plain,
( spl6_528
| ~ spl6_53
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f909,f863,f559,f16675]) ).
fof(f16675,plain,
( spl6_528
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_528])]) ).
fof(f909,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_53
| ~ spl6_80 ),
inference(resolution,[],[f864,f560]) ).
fof(f16673,plain,
( spl6_527
| ~ spl6_55
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f901,f863,f567,f16671]) ).
fof(f16671,plain,
( spl6_527
<=> ! [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,[spl6_527])]) ).
fof(f901,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) )
| ~ spl6_55
| ~ spl6_80 ),
inference(resolution,[],[f864,f568]) ).
fof(f16669,plain,
( spl6_526
| ~ spl6_54
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f896,f859,f563,f16667]) ).
fof(f16667,plain,
( spl6_526
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK5(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_526])]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK5(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK5(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_54
| ~ spl6_79 ),
inference(resolution,[],[f860,f564]) ).
fof(f16665,plain,
( spl6_525
| ~ spl6_53
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f895,f859,f559,f16663]) ).
fof(f16663,plain,
( spl6_525
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_525])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK4(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) )
| ~ spl6_53
| ~ spl6_79 ),
inference(resolution,[],[f860,f560]) ).
fof(f16661,plain,
( spl6_524
| ~ spl6_55
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f887,f859,f567,f16659]) ).
fof(f16659,plain,
( spl6_524
<=> ! [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,[spl6_524])]) ).
fof(f887,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) )
| ~ spl6_55
| ~ spl6_79 ),
inference(resolution,[],[f860,f568]) ).
fof(f16582,plain,
( ~ spl6_2
| ~ spl6_134
| spl6_522
| spl6_523
| ~ spl6_25
| ~ spl6_94
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f14920,f4415,f1037,f380,f16579,f16576,f1952,f260]) ).
fof(f14920,plain,
( ! [X0] :
( xp = xr
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr) )
| ~ spl6_25
| ~ spl6_94
| ~ spl6_280 ),
inference(forward_demodulation,[],[f1048,f4417]) ).
fof(f1048,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr)
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr) )
| ~ spl6_25
| ~ spl6_94 ),
inference(resolution,[],[f1038,f382]) ).
fof(f16532,plain,
( ~ spl6_149
| ~ spl6_5
| spl6_281
| ~ spl6_298 ),
inference(avatar_split_clause,[],[f8327,f5802,f4433,f275,f2252]) ).
fof(f8327,plain,
( ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xm)
| spl6_281
| ~ spl6_298 ),
inference(resolution,[],[f4434,f5803]) ).
fof(f16489,plain,
( spl6_521
| ~ spl6_44
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f991,f957,f498,f16487]) ).
fof(f16487,plain,
( spl6_521
<=> ! [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,[spl6_521])]) ).
fof(f991,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) )
| ~ spl6_44
| ~ spl6_90 ),
inference(resolution,[],[f958,f499]) ).
fof(f16485,plain,
( spl6_520
| ~ spl6_42
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f990,f957,f489,f16483]) ).
fof(f16483,plain,
( spl6_520
<=> ! [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,[spl6_520])]) ).
fof(f489,plain,
( spl6_42
<=> ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f990,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) )
| ~ spl6_42
| ~ spl6_90 ),
inference(resolution,[],[f958,f490]) ).
fof(f490,plain,
( ! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f16481,plain,
( spl6_519
| ~ spl6_44
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f977,f953,f498,f16479]) ).
fof(f16479,plain,
( spl6_519
<=> ! [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,[spl6_519])]) ).
fof(f977,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) )
| ~ spl6_44
| ~ spl6_89 ),
inference(resolution,[],[f954,f499]) ).
fof(f16477,plain,
( spl6_518
| ~ spl6_42
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f976,f953,f489,f16475]) ).
fof(f16475,plain,
( spl6_518
<=> ! [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,[spl6_518])]) ).
fof(f976,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) )
| ~ spl6_42
| ~ spl6_89 ),
inference(resolution,[],[f954,f490]) ).
fof(f16454,plain,
( spl6_517
| ~ spl6_280
| ~ spl6_516 ),
inference(avatar_split_clause,[],[f16450,f16447,f4415,f16452]) ).
fof(f16452,plain,
( spl6_517
<=> ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
fof(f16447,plain,
( spl6_516
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
fof(f16450,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_516 ),
inference(forward_demodulation,[],[f16448,f4417]) ).
fof(f16448,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2))) )
| ~ spl6_516 ),
inference(avatar_component_clause,[],[f16447]) ).
fof(f16449,plain,
( spl6_516
| ~ spl6_48
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f908,f863,f538,f16447]) ).
fof(f908,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK3(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_48
| ~ spl6_80 ),
inference(resolution,[],[f864,f539]) ).
fof(f16424,plain,
( spl6_515
| ~ spl6_280
| ~ spl6_514 ),
inference(avatar_split_clause,[],[f16420,f16417,f4415,f16422]) ).
fof(f16422,plain,
( spl6_515
<=> ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
fof(f16417,plain,
( spl6_514
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
fof(f16420,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_280
| ~ spl6_514 ),
inference(forward_demodulation,[],[f16418,f4417]) ).
fof(f16418,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_514 ),
inference(avatar_component_clause,[],[f16417]) ).
fof(f16419,plain,
( spl6_514
| ~ spl6_47
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f907,f863,f534,f16417]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK2(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_47
| ~ spl6_80 ),
inference(resolution,[],[f864,f535]) ).
fof(f16396,plain,
( spl6_513
| ~ spl6_280
| ~ spl6_512 ),
inference(avatar_split_clause,[],[f16392,f16389,f4415,f16394]) ).
fof(f16394,plain,
( spl6_513
<=> ! [X2,X0,X1] :
( xp = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
fof(f16389,plain,
( spl6_512
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
fof(f16392,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_512 ),
inference(forward_demodulation,[],[f16390,f4417]) ).
fof(f16390,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2))) )
| ~ spl6_512 ),
inference(avatar_component_clause,[],[f16389]) ).
fof(f16391,plain,
( spl6_512
| ~ spl6_48
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f894,f859,f538,f16389]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK3(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK3(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X2
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_48
| ~ spl6_79 ),
inference(resolution,[],[f860,f539]) ).
fof(f16366,plain,
( spl6_511
| ~ spl6_280
| ~ spl6_510 ),
inference(avatar_split_clause,[],[f16362,f16359,f4415,f16364]) ).
fof(f16364,plain,
( spl6_511
<=> ! [X2,X0,X1] :
( xp = X2
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
fof(f16359,plain,
( spl6_510
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
fof(f16362,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2 )
| ~ spl6_280
| ~ spl6_510 ),
inference(forward_demodulation,[],[f16360,f4417]) ).
fof(f16360,plain,
( ! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_510 ),
inference(avatar_component_clause,[],[f16359]) ).
fof(f16361,plain,
( spl6_510
| ~ spl6_47
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f893,f859,f534,f16359]) ).
fof(f893,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK2(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK2(X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP0(X2)
| sz10 = X2
| sz00 = X2 )
| ~ spl6_47
| ~ spl6_79 ),
inference(resolution,[],[f860,f535]) ).
fof(f16284,plain,
( spl6_509
| ~ spl6_280
| ~ spl6_508 ),
inference(avatar_split_clause,[],[f16280,f16276,f4415,f16282]) ).
fof(f16282,plain,
( spl6_509
<=> ! [X0] :
( xp = X0
| xp = sK3(X0)
| sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
fof(f16276,plain,
( spl6_508
<=> ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
fof(f16280,plain,
( ! [X0] :
( xp = X0
| xp = sK3(X0)
| sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_280
| ~ spl6_508 ),
inference(forward_demodulation,[],[f16279,f4417]) ).
fof(f16279,plain,
( ! [X0] :
( xp = sK3(X0)
| sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_280
| ~ spl6_508 ),
inference(forward_demodulation,[],[f16277,f4417]) ).
fof(f16277,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK3(X0))
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz10 = X0
| sz00 = X0 )
| ~ spl6_508 ),
inference(avatar_component_clause,[],[f16276]) ).
fof(f16278,plain,
( spl6_508
| ~ spl6_59
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f930,f880,f646,f16276]) ).
fof(f930,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_59
| ~ spl6_84 ),
inference(duplicate_literal_removal,[],[f929]) ).
fof(f929,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0
| sz00 = sK3(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_59
| ~ spl6_84 ),
inference(resolution,[],[f881,f647]) ).
fof(f16274,plain,
( spl6_507
| ~ spl6_63
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f915,f867,f664,f16272]) ).
fof(f16272,plain,
( spl6_507
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ sP0(sdtpldt0(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
fof(f664,plain,
( spl6_63
<=> ! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ sP0(sdtpldt0(X2,X1)) )
| ~ spl6_63
| ~ spl6_81 ),
inference(duplicate_literal_removal,[],[f914]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sdtpldt0(X2,X1) = X0
| ~ aNaturalNumber0(X0)
| ~ sP0(sdtpldt0(X2,X1)) )
| ~ spl6_63
| ~ spl6_81 ),
inference(resolution,[],[f868,f665]) ).
fof(f665,plain,
( ! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) )
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f16186,plain,
( spl6_506
| ~ spl6_44
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f900,f863,f498,f16184]) ).
fof(f16184,plain,
( spl6_506
<=> ! [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,[spl6_506])]) ).
fof(f900,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) )
| ~ spl6_44
| ~ spl6_80 ),
inference(resolution,[],[f864,f499]) ).
fof(f16182,plain,
( spl6_505
| ~ spl6_42
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f899,f863,f489,f16180]) ).
fof(f16180,plain,
( spl6_505
<=> ! [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,[spl6_505])]) ).
fof(f899,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) )
| ~ spl6_42
| ~ spl6_80 ),
inference(resolution,[],[f864,f490]) ).
fof(f16178,plain,
( spl6_504
| ~ spl6_44
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f886,f859,f498,f16176]) ).
fof(f16176,plain,
( spl6_504
<=> ! [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,[spl6_504])]) ).
fof(f886,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) )
| ~ spl6_44
| ~ spl6_79 ),
inference(resolution,[],[f860,f499]) ).
fof(f16135,plain,
( spl6_503
| ~ spl6_42
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f885,f859,f489,f16133]) ).
fof(f16133,plain,
( spl6_503
<=> ! [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,[spl6_503])]) ).
fof(f885,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) )
| ~ spl6_42
| ~ spl6_79 ),
inference(resolution,[],[f860,f490]) ).
fof(f16109,plain,
( spl6_502
| ~ spl6_280
| ~ spl6_501 ),
inference(avatar_split_clause,[],[f16105,f16102,f4415,f16107]) ).
fof(f16107,plain,
( spl6_502
<=> ! [X2,X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
fof(f16102,plain,
( spl6_501
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f16105,plain,
( ! [X2,X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_501 ),
inference(forward_demodulation,[],[f16103,f4417]) ).
fof(f16103,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_501 ),
inference(avatar_component_clause,[],[f16102]) ).
fof(f16104,plain,
( spl6_501
| ~ spl6_52
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f803,f752,f555,f16102]) ).
fof(f803,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_52
| ~ spl6_72 ),
inference(resolution,[],[f753,f556]) ).
fof(f16078,plain,
( spl6_500
| ~ spl6_280
| ~ spl6_499 ),
inference(avatar_split_clause,[],[f16074,f16071,f4415,f16076]) ).
fof(f16076,plain,
( spl6_500
<=> ! [X2,X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f16071,plain,
( spl6_499
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f16074,plain,
( ! [X2,X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_499 ),
inference(forward_demodulation,[],[f16072,f4417]) ).
fof(f16072,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_499 ),
inference(avatar_component_clause,[],[f16071]) ).
fof(f16073,plain,
( spl6_499
| ~ spl6_50
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f802,f752,f546,f16071]) ).
fof(f802,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_50
| ~ spl6_72 ),
inference(resolution,[],[f753,f547]) ).
fof(f16010,plain,
( spl6_498
| ~ spl6_280
| ~ spl6_497 ),
inference(avatar_split_clause,[],[f16006,f16003,f4415,f16008]) ).
fof(f16008,plain,
( spl6_498
<=> ! [X0,X1] :
( xp = X0
| sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f16006,plain,
( ! [X0,X1] :
( xp = X0
| sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_497 ),
inference(forward_demodulation,[],[f16004,f4417]) ).
fof(f16005,plain,
( spl6_497
| ~ spl6_67
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f932,f880,f682,f16003]) ).
fof(f932,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_84 ),
inference(duplicate_literal_removal,[],[f923]) ).
fof(f923,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_67
| ~ spl6_84 ),
inference(resolution,[],[f881,f683]) ).
fof(f15996,plain,
( spl6_496
| ~ spl6_280
| ~ spl6_495 ),
inference(avatar_split_clause,[],[f15992,f15989,f4415,f15994]) ).
fof(f15994,plain,
( spl6_496
<=> ! [X0,X1] :
( xp = X1
| doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f15989,plain,
( spl6_495
<=> ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f15992,plain,
( ! [X0,X1] :
( xp = X1
| doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_495 ),
inference(forward_demodulation,[],[f15990,f4417]) ).
fof(f15990,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,sK2(X1))
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_495 ),
inference(avatar_component_clause,[],[f15989]) ).
fof(f15991,plain,
( spl6_495
| ~ spl6_56
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f826,f810,f634,f15989]) ).
fof(f826,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_56
| ~ spl6_74 ),
inference(resolution,[],[f811,f635]) ).
fof(f15935,plain,
( spl6_494
| ~ spl6_280
| ~ spl6_493 ),
inference(avatar_split_clause,[],[f15931,f15928,f4415,f15933]) ).
fof(f15933,plain,
( spl6_494
<=> ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f15928,plain,
( spl6_493
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f15931,plain,
( ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_493 ),
inference(forward_demodulation,[],[f15929,f4417]) ).
fof(f15929,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_493 ),
inference(avatar_component_clause,[],[f15928]) ).
fof(f15930,plain,
( spl6_493
| ~ spl6_60
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f790,f748,f650,f15928]) ).
fof(f790,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_71 ),
inference(resolution,[],[f749,f651]) ).
fof(f15874,plain,
( spl6_492
| ~ spl6_280
| ~ spl6_491 ),
inference(avatar_split_clause,[],[f15870,f15867,f4415,f15872]) ).
fof(f15872,plain,
( spl6_492
<=> ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f15867,plain,
( spl6_491
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f15870,plain,
( ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_491 ),
inference(forward_demodulation,[],[f15868,f4417]) ).
fof(f15868,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_491 ),
inference(avatar_component_clause,[],[f15867]) ).
fof(f15869,plain,
( spl6_491
| ~ spl6_60
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f774,f744,f650,f15867]) ).
fof(f774,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f767,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_70 ),
inference(resolution,[],[f745,f651]) ).
fof(f15861,plain,
( spl6_490
| ~ spl6_280
| ~ spl6_489 ),
inference(avatar_split_clause,[],[f15857,f15854,f4415,f15859]) ).
fof(f15859,plain,
( spl6_490
<=> ! [X0] :
( xp = X0
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f15854,plain,
( spl6_489
<=> ! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f15857,plain,
( ! [X0] :
( xp = X0
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_280
| ~ spl6_489 ),
inference(forward_demodulation,[],[f15855,f4417]) ).
fof(f15855,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK2(X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_489 ),
inference(avatar_component_clause,[],[f15854]) ).
fof(f15856,plain,
( spl6_489
| ~ spl6_56
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f759,f738,f634,f15854]) ).
fof(f759,plain,
( ! [X0] :
( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_56
| ~ spl6_69 ),
inference(resolution,[],[f739,f635]) ).
fof(f15712,plain,
( spl6_488
| ~ spl6_280
| ~ spl6_487 ),
inference(avatar_split_clause,[],[f15708,f15705,f4415,f15710]) ).
fof(f15708,plain,
( ! [X2,X0,X1] :
( xp = X2
| sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_280
| ~ spl6_487 ),
inference(forward_demodulation,[],[f15706,f4417]) ).
fof(f15707,plain,
( spl6_487
| ~ spl6_60
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f841,f814,f650,f15705]) ).
fof(f841,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl6_60
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f834]) ).
fof(f834,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_60
| ~ spl6_75 ),
inference(resolution,[],[f815,f651]) ).
fof(f15646,plain,
( spl6_486
| ~ spl6_280
| ~ spl6_485 ),
inference(avatar_split_clause,[],[f15642,f15639,f4415,f15644]) ).
fof(f15644,plain,
( spl6_486
<=> ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f15639,plain,
( spl6_485
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f15642,plain,
( ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_485 ),
inference(forward_demodulation,[],[f15640,f4417]) ).
fof(f15640,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_485 ),
inference(avatar_component_clause,[],[f15639]) ).
fof(f15641,plain,
( spl6_485
| ~ spl6_60
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f725,f678,f650,f15639]) ).
fof(f725,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f718]) ).
fof(f718,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = X0
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_66 ),
inference(resolution,[],[f679,f651]) ).
fof(f15599,plain,
( spl6_484
| ~ spl6_280
| ~ spl6_482 ),
inference(avatar_split_clause,[],[f15590,f15587,f4415,f15597]) ).
fof(f15597,plain,
( spl6_484
<=> ! [X0,X1] :
( xp = X1
| iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f15587,plain,
( spl6_482
<=> ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f15590,plain,
( ! [X0,X1] :
( xp = X1
| iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_482 ),
inference(forward_demodulation,[],[f15588,f4417]) ).
fof(f15588,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_482 ),
inference(avatar_component_clause,[],[f15587]) ).
fof(f15595,plain,
( spl6_158
| ~ spl6_483
| ~ spl6_27
| ~ spl6_397 ),
inference(avatar_split_clause,[],[f9084,f8736,f389,f15592,f2686]) ).
fof(f8736,plain,
( spl6_397
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f9084,plain,
( ~ isPrime0(xk)
| sP0(xk)
| ~ spl6_27
| ~ spl6_397 ),
inference(resolution,[],[f8738,f390]) ).
fof(f8738,plain,
( sP1(xk)
| ~ spl6_397 ),
inference(avatar_component_clause,[],[f8736]) ).
fof(f15589,plain,
( spl6_482
| ~ spl6_60
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f704,f668,f650,f15587]) ).
fof(f704,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_64 ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f697,plain,
( ! [X0,X1] :
( iLess0(X0,sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_60
| ~ spl6_64 ),
inference(resolution,[],[f669,f651]) ).
fof(f15581,plain,
( spl6_481
| ~ spl6_280
| ~ spl6_480 ),
inference(avatar_split_clause,[],[f15577,f15574,f4415,f15579]) ).
fof(f15579,plain,
( spl6_481
<=> ! [X0] :
( xp = X0
| sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f15574,plain,
( spl6_480
<=> ! [X0] :
( sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f15577,plain,
( ! [X0] :
( xp = X0
| sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_480 ),
inference(forward_demodulation,[],[f15575,f4417]) ).
fof(f15575,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK3(X0))
| sK3(X0) = X0
| sz10 = sK3(X0)
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_480 ),
inference(avatar_component_clause,[],[f15574]) ).
fof(f15576,plain,
( spl6_480
| ~ spl6_59
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f693,f664,f646,f15574]) ).
fof(f693,plain,
( ! [X0] :
( sz10 = sK3(X0)
| sK3(X0) = X0
| ~ aNaturalNumber0(sK3(X0))
| ~ sP0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_59
| ~ spl6_63 ),
inference(resolution,[],[f665,f647]) ).
fof(f15202,plain,
( spl6_12
| ~ spl6_280
| ~ spl6_418 ),
inference(avatar_split_clause,[],[f14122,f11974,f4415,f310]) ).
fof(f14122,plain,
( sdtlseqdt0(xp,xm)
| ~ spl6_280
| ~ spl6_418 ),
inference(superposition,[],[f11976,f4417]) ).
fof(f15174,plain,
( spl6_479
| ~ spl6_280
| ~ spl6_474 ),
inference(avatar_split_clause,[],[f14635,f14632,f4415,f15172]) ).
fof(f15172,plain,
( spl6_479
<=> ! [X0,X1] :
( xp = X1
| doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f14632,plain,
( spl6_474
<=> ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f14635,plain,
( ! [X0,X1] :
( xp = X1
| doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_474 ),
inference(forward_demodulation,[],[f14633,f4417]) ).
fof(f14633,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,sK3(X1))
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_474 ),
inference(avatar_component_clause,[],[f14632]) ).
fof(f15078,plain,
( ~ spl6_134
| spl6_478
| ~ spl6_6
| ~ spl6_31
| ~ spl6_71
| ~ spl6_105
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f14763,f4415,f1105,f748,f406,f280,f15075,f1952]) ).
fof(f14763,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_71
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f14762,f5764]) ).
fof(f14762,plain,
( xp = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_71
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f1947,f5764]) ).
fof(f15046,plain,
( ~ spl6_134
| spl6_477
| ~ spl6_6
| ~ spl6_31
| ~ spl6_70
| ~ spl6_105
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f14686,f4415,f1105,f744,f406,f280,f15043,f1952]) ).
fof(f14686,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_70
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f12686,f5764]) ).
fof(f12686,plain,
( xp = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_70
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f1948,f5764]) ).
fof(f15002,plain,
( spl6_476
| ~ spl6_105
| ~ spl6_135
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f12676,f4415,f1956,f1105,f15000]) ).
fof(f12676,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) )
| ~ spl6_105
| ~ spl6_135
| ~ spl6_280 ),
inference(forward_demodulation,[],[f1957,f5764]) ).
fof(f14889,plain,
( ~ spl6_134
| ~ spl6_26
| spl6_292 ),
inference(avatar_split_clause,[],[f14878,f5718,f385,f1952]) ).
fof(f14878,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_26
| spl6_292 ),
inference(resolution,[],[f5719,f386]) ).
fof(f5719,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| spl6_292 ),
inference(avatar_component_clause,[],[f5718]) ).
fof(f14835,plain,
( spl6_475
| ~ spl6_31
| ~ spl6_105
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f12692,f4415,f1105,f406,f14832]) ).
fof(f12692,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ spl6_31
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f407,f5764]) ).
fof(f14829,plain,
( ~ spl6_280
| ~ spl6_105
| ~ spl6_280
| spl6_422 ),
inference(avatar_split_clause,[],[f12867,f12863,f4415,f1105,f4415]) ).
fof(f12867,plain,
( sz00 != xp
| ~ spl6_105
| ~ spl6_280
| spl6_422 ),
inference(forward_demodulation,[],[f12865,f5764]) ).
fof(f14636,plain,
( ~ spl6_18
| ~ spl6_280
| spl6_432 ),
inference(avatar_split_clause,[],[f13315,f13311,f4415,f340]) ).
fof(f13315,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ spl6_280
| spl6_432 ),
inference(forward_demodulation,[],[f13313,f4417]) ).
fof(f13313,plain,
( ~ sdtlseqdt0(xm,sz00)
| spl6_432 ),
inference(avatar_component_clause,[],[f13311]) ).
fof(f14634,plain,
( spl6_474
| ~ spl6_59
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f828,f810,f646,f14632]) ).
fof(f828,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_59
| ~ spl6_74 ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f827,plain,
( ! [X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,sK3(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK3(X1))
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_59
| ~ spl6_74 ),
inference(resolution,[],[f811,f647]) ).
fof(f14626,plain,
( spl6_473
| ~ spl6_280
| ~ spl6_472 ),
inference(avatar_split_clause,[],[f14622,f14619,f4415,f14624]) ).
fof(f14624,plain,
( spl6_473
<=> ! [X0] :
( xp = X0
| sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f14619,plain,
( spl6_472
<=> ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f14622,plain,
( ! [X0] :
( xp = X0
| sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_280
| ~ spl6_472 ),
inference(forward_demodulation,[],[f14620,f4417]) ).
fof(f14620,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK3(X0))
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| sz10 = X0
| sz00 = X0 )
| ~ spl6_472 ),
inference(avatar_component_clause,[],[f14619]) ).
fof(f14621,plain,
( spl6_472
| ~ spl6_59
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f761,f738,f646,f14619]) ).
fof(f761,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 )
| ~ spl6_59
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f760,plain,
( ! [X0] :
( sdtasdt0(sK3(X0),sK4(sK3(X0),X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_59
| ~ spl6_69 ),
inference(resolution,[],[f739,f647]) ).
fof(f14617,plain,
( spl6_471
| ~ spl6_63
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f731,f682,f664,f14615]) ).
fof(f14615,plain,
( spl6_471
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ sP0(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_63
| ~ spl6_67 ),
inference(duplicate_literal_removal,[],[f730]) ).
fof(f730,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sdtasdt0(X1,X0) = X1
| ~ aNaturalNumber0(X1)
| ~ sP0(sdtasdt0(X1,X0)) )
| ~ spl6_63
| ~ spl6_67 ),
inference(resolution,[],[f683,f665]) ).
fof(f14613,plain,
( spl6_470
| ~ spl6_52
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f632,f567,f555,f14611]) ).
fof(f14611,plain,
( spl6_470
<=> ! [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,[spl6_470])]) ).
fof(f632,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_52
| ~ spl6_55 ),
inference(resolution,[],[f568,f556]) ).
fof(f14609,plain,
( spl6_469
| ~ spl6_50
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f631,f567,f546,f14607]) ).
fof(f14607,plain,
( spl6_469
<=> ! [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,[spl6_469])]) ).
fof(f631,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_50
| ~ spl6_55 ),
inference(resolution,[],[f568,f547]) ).
fof(f14605,plain,
( spl6_468
| ~ spl6_52
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f623,f563,f555,f14603]) ).
fof(f14603,plain,
( spl6_468
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f623,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_52
| ~ spl6_54 ),
inference(resolution,[],[f564,f556]) ).
fof(f14601,plain,
( spl6_467
| ~ spl6_50
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f622,f563,f546,f14599]) ).
fof(f14599,plain,
( spl6_467
<=> ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f622,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_50
| ~ spl6_54 ),
inference(resolution,[],[f564,f547]) ).
fof(f14597,plain,
( spl6_466
| ~ spl6_52
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f614,f559,f555,f14595]) ).
fof(f14595,plain,
( spl6_466
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f614,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_52
| ~ spl6_53 ),
inference(resolution,[],[f560,f556]) ).
fof(f14593,plain,
( spl6_465
| ~ spl6_280
| ~ spl6_430 ),
inference(avatar_split_clause,[],[f12955,f12951,f4415,f14590]) ).
fof(f14590,plain,
( spl6_465
<=> iLess0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f12951,plain,
( spl6_430
<=> iLess0(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
fof(f12955,plain,
( iLess0(xp,xm)
| ~ spl6_280
| ~ spl6_430 ),
inference(forward_demodulation,[],[f12953,f4417]) ).
fof(f12953,plain,
( iLess0(sz00,xm)
| ~ spl6_430 ),
inference(avatar_component_clause,[],[f12951]) ).
fof(f14588,plain,
( spl6_464
| ~ spl6_50
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f613,f559,f546,f14586]) ).
fof(f14586,plain,
( spl6_464
<=> ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f613,plain,
( ! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) )
| ~ spl6_50
| ~ spl6_53 ),
inference(resolution,[],[f560,f547]) ).
fof(f14561,plain,
( spl6_463
| ~ spl6_277
| ~ spl6_280
| ~ spl6_462 ),
inference(avatar_split_clause,[],[f14556,f14551,f4415,f4388,f14558]) ).
fof(f14558,plain,
( spl6_463
<=> xp = sdtasdt0(xr,sdtsldt0(xp,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f14551,plain,
( spl6_462
<=> sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f14556,plain,
( xp = sdtasdt0(xr,sdtsldt0(xp,xr))
| ~ spl6_277
| ~ spl6_280
| ~ spl6_462 ),
inference(forward_demodulation,[],[f14555,f4417]) ).
fof(f14555,plain,
( sz00 = sdtasdt0(xr,sdtsldt0(sz00,xr))
| ~ spl6_277
| ~ spl6_462 ),
inference(forward_demodulation,[],[f14553,f4390]) ).
fof(f4390,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl6_277 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f14553,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ spl6_462 ),
inference(avatar_component_clause,[],[f14551]) ).
fof(f14554,plain,
( ~ spl6_2
| ~ spl6_134
| spl6_461
| spl6_462
| ~ spl6_25
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f927,f880,f380,f14551,f14547,f1952,f260]) ).
fof(f927,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| sz00 = xr
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_84 ),
inference(resolution,[],[f881,f382]) ).
fof(f14313,plain,
( spl6_460
| ~ spl6_280
| ~ spl6_459 ),
inference(avatar_split_clause,[],[f14309,f14306,f4415,f14311]) ).
fof(f14311,plain,
( spl6_460
<=> ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f14306,plain,
( spl6_459
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f14309,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ spl6_280
| ~ spl6_459 ),
inference(forward_demodulation,[],[f14307,f4417]) ).
fof(f14307,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ spl6_459 ),
inference(avatar_component_clause,[],[f14306]) ).
fof(f14308,plain,
( spl6_459
| ~ spl6_41
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f801,f752,f449,f14306]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ spl6_41
| ~ spl6_72 ),
inference(resolution,[],[f753,f450]) ).
fof(f14303,plain,
( ~ spl6_421
| ~ spl6_280
| spl6_424 ),
inference(avatar_split_clause,[],[f12879,f12874,f4415,f12798]) ).
fof(f12798,plain,
( spl6_421
<=> sdtlseqdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
fof(f12874,plain,
( spl6_424
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
fof(f12879,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl6_280
| spl6_424 ),
inference(forward_demodulation,[],[f12875,f4417]) ).
fof(f12875,plain,
( ~ sdtlseqdt0(sz00,sz00)
| spl6_424 ),
inference(avatar_component_clause,[],[f12874]) ).
fof(f14268,plain,
( spl6_458
| ~ spl6_280
| ~ spl6_457 ),
inference(avatar_split_clause,[],[f14264,f14261,f4415,f14266]) ).
fof(f14266,plain,
( spl6_458
<=> ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f14261,plain,
( spl6_457
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f14264,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
| ~ spl6_280
| ~ spl6_457 ),
inference(forward_demodulation,[],[f14262,f4417]) ).
fof(f14262,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
| ~ spl6_457 ),
inference(avatar_component_clause,[],[f14261]) ).
fof(f14263,plain,
( spl6_457
| ~ spl6_40
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f800,f752,f445,f14261]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtasdt0(sdtsldt0(X1,X0),sz10) )
| ~ spl6_40
| ~ spl6_72 ),
inference(resolution,[],[f753,f446]) ).
fof(f14225,plain,
( spl6_456
| ~ spl6_280
| ~ spl6_455 ),
inference(avatar_split_clause,[],[f14221,f14217,f4415,f14223]) ).
fof(f14223,plain,
( spl6_456
<=> ! [X0,X1] :
( sdtsldt0(X1,X0) = sdtpldt0(xp,sdtsldt0(X1,X0))
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f14217,plain,
( spl6_455
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f14221,plain,
( ! [X0,X1] :
( sdtsldt0(X1,X0) = sdtpldt0(xp,sdtsldt0(X1,X0))
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_455 ),
inference(forward_demodulation,[],[f14220,f4417]) ).
fof(f14220,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_280
| ~ spl6_455 ),
inference(forward_demodulation,[],[f14218,f4417]) ).
fof(f14218,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_455 ),
inference(avatar_component_clause,[],[f14217]) ).
fof(f14219,plain,
( spl6_455
| ~ spl6_39
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f799,f752,f441,f14217]) ).
fof(f799,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_72 ),
inference(resolution,[],[f753,f442]) ).
fof(f14181,plain,
( spl6_454
| ~ spl6_280
| ~ spl6_453 ),
inference(avatar_split_clause,[],[f14177,f14173,f4415,f14179]) ).
fof(f14173,plain,
( spl6_453
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f14177,plain,
( ! [X0,X1] :
( sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),xp)
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_453 ),
inference(forward_demodulation,[],[f14176,f4417]) ).
fof(f14176,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_280
| ~ spl6_453 ),
inference(forward_demodulation,[],[f14174,f4417]) ).
fof(f14174,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_453 ),
inference(avatar_component_clause,[],[f14173]) ).
fof(f14175,plain,
( spl6_453
| ~ spl6_37
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f798,f752,f432,f14173]) ).
fof(f798,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtsldt0(X1,X0) = sdtpldt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_37
| ~ spl6_72 ),
inference(resolution,[],[f753,f433]) ).
fof(f14171,plain,
( spl6_452
| ~ spl6_68
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f791,f748,f686,f14169]) ).
fof(f14169,plain,
( spl6_452
<=> ! [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,[spl6_452])]) ).
fof(f791,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_68
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f782]) ).
fof(f782,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) )
| ~ spl6_68
| ~ spl6_71 ),
inference(resolution,[],[f749,f687]) ).
fof(f14090,plain,
( spl6_451
| ~ spl6_68
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f775,f744,f686,f14088]) ).
fof(f14088,plain,
( spl6_451
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f775,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_68
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f766]) ).
fof(f766,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X0,sK5(X0,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_68
| ~ spl6_70 ),
inference(resolution,[],[f745,f687]) ).
fof(f14086,plain,
( spl6_450
| ~ spl6_67
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f762,f738,f682,f14084]) ).
fof(f14084,plain,
( spl6_450
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f762,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_69 ),
inference(duplicate_literal_removal,[],[f755]) ).
fof(f755,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) )
| ~ spl6_67
| ~ spl6_69 ),
inference(resolution,[],[f739,f683]) ).
fof(f14058,plain,
( spl6_449
| ~ spl6_280
| ~ spl6_448 ),
inference(avatar_split_clause,[],[f14054,f14051,f4415,f14056]) ).
fof(f14056,plain,
( spl6_449
<=> ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f14051,plain,
( spl6_448
<=> ! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f14054,plain,
( ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_448 ),
inference(forward_demodulation,[],[f14052,f4417]) ).
fof(f14052,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0) )
| ~ spl6_448 ),
inference(avatar_component_clause,[],[f14051]) ).
fof(f14053,plain,
( spl6_448
| ~ spl6_48
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f603,f555,f538,f14051]) ).
fof(f603,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_52 ),
inference(resolution,[],[f556,f539]) ).
fof(f14026,plain,
( spl6_447
| ~ spl6_280
| ~ spl6_446 ),
inference(avatar_split_clause,[],[f14022,f14019,f4415,f14024]) ).
fof(f14024,plain,
( spl6_447
<=> ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f14019,plain,
( spl6_446
<=> ! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f14022,plain,
( ! [X0,X1] :
( xp = X1
| sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_446 ),
inference(forward_demodulation,[],[f14020,f4417]) ).
fof(f14020,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_446 ),
inference(avatar_component_clause,[],[f14019]) ).
fof(f14021,plain,
( spl6_446
| ~ spl6_47
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f602,f555,f534,f14019]) ).
fof(f602,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_47
| ~ spl6_52 ),
inference(resolution,[],[f556,f535]) ).
fof(f13993,plain,
( spl6_445
| ~ spl6_280
| ~ spl6_444 ),
inference(avatar_split_clause,[],[f13989,f13986,f4415,f13991]) ).
fof(f13991,plain,
( spl6_445
<=> ! [X0,X1] :
( xp = X1
| sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f13986,plain,
( spl6_444
<=> ! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f13989,plain,
( ! [X0,X1] :
( xp = X1
| sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_444 ),
inference(forward_demodulation,[],[f13987,f4417]) ).
fof(f13987,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0) )
| ~ spl6_444 ),
inference(avatar_component_clause,[],[f13986]) ).
fof(f13988,plain,
( spl6_444
| ~ spl6_48
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f593,f546,f538,f13986]) ).
fof(f593,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_48
| ~ spl6_50 ),
inference(resolution,[],[f547,f539]) ).
fof(f13961,plain,
( spl6_443
| ~ spl6_280
| ~ spl6_442 ),
inference(avatar_split_clause,[],[f13957,f13954,f4415,f13959]) ).
fof(f13959,plain,
( spl6_443
<=> ! [X0,X1] :
( xp = X1
| sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
fof(f13954,plain,
( spl6_442
<=> ! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
fof(f13957,plain,
( ! [X0,X1] :
( xp = X1
| sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1 )
| ~ spl6_280
| ~ spl6_442 ),
inference(forward_demodulation,[],[f13955,f4417]) ).
fof(f13955,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_442 ),
inference(avatar_component_clause,[],[f13954]) ).
fof(f13956,plain,
( spl6_442
| ~ spl6_47
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f592,f546,f534,f13954]) ).
fof(f592,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_47
| ~ spl6_50 ),
inference(resolution,[],[f547,f535]) ).
fof(f13535,plain,
( spl6_441
| ~ spl6_280
| ~ spl6_440 ),
inference(avatar_split_clause,[],[f13500,f13497,f4415,f13533]) ).
fof(f13533,plain,
( spl6_441
<=> ! [X0,X1] :
( xp = X1
| ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
fof(f13497,plain,
( spl6_440
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
fof(f13500,plain,
( ! [X0,X1] :
( xp = X1
| ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_280
| ~ spl6_440 ),
inference(forward_demodulation,[],[f13498,f4417]) ).
fof(f13498,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X0))
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_440 ),
inference(avatar_component_clause,[],[f13497]) ).
fof(f13499,plain,
( spl6_440
| ~ spl6_67
| ~ spl6_95 ),
inference(avatar_split_clause,[],[f1056,f1041,f682,f13497]) ).
fof(f1041,plain,
( spl6_95
<=> ! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f1056,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_95 ),
inference(duplicate_literal_removal,[],[f1055]) ).
fof(f1055,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X1,X0),X1) = X0
| sz00 = X1
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_95 ),
inference(resolution,[],[f1042,f683]) ).
fof(f1042,plain,
( ! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_95 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f13495,plain,
( spl6_439
| ~ spl6_68
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f842,f814,f686,f13493]) ).
fof(f13493,plain,
( spl6_439
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f842,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_68
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_68
| ~ spl6_75 ),
inference(resolution,[],[f815,f687]) ).
fof(f13467,plain,
( spl6_438
| ~ spl6_280
| ~ spl6_437 ),
inference(avatar_split_clause,[],[f13463,f13460,f4415,f13465]) ).
fof(f13465,plain,
( spl6_438
<=> ! [X0,X1] :
( xp = X1
| sdtlseqdt0(X0,X1)
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
fof(f13460,plain,
( spl6_437
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
fof(f13463,plain,
( ! [X0,X1] :
( xp = X1
| sdtlseqdt0(X0,X1)
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,sz10) )
| ~ spl6_280
| ~ spl6_437 ),
inference(forward_demodulation,[],[f13461,f4417]) ).
fof(f13461,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sz10)
| sz00 = X1
| sz10 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) )
| ~ spl6_437 ),
inference(avatar_component_clause,[],[f13460]) ).
fof(f13462,plain,
( ~ spl6_8
| spl6_437
| ~ spl6_46
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f840,f814,f530,f13460,f290]) ).
fof(f530,plain,
( spl6_46
<=> ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f840,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1 )
| ~ spl6_46
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f835]) ).
fof(f835,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) )
| ~ spl6_46
| ~ spl6_75 ),
inference(resolution,[],[f815,f531]) ).
fof(f531,plain,
( ! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f13458,plain,
( spl6_436
| ~ spl6_67
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f829,f810,f682,f13456]) ).
fof(f13456,plain,
( spl6_436
<=> ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
fof(f829,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) )
| ~ spl6_67
| ~ spl6_74 ),
inference(duplicate_literal_removal,[],[f822]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) )
| ~ spl6_67
| ~ spl6_74 ),
inference(resolution,[],[f811,f683]) ).
fof(f13454,plain,
( spl6_435
| ~ spl6_66
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f736,f686,f678,f13452]) ).
fof(f13452,plain,
( spl6_435
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
fof(f736,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1) )
| ~ spl6_66
| ~ spl6_68 ),
inference(duplicate_literal_removal,[],[f733]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X0),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) )
| ~ spl6_66
| ~ spl6_68 ),
inference(resolution,[],[f687,f679]) ).
fof(f13450,plain,
( spl6_434
| ~ spl6_64
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f735,f686,f668,f13448]) ).
fof(f13448,plain,
( spl6_434
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
fof(f735,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1 )
| ~ spl6_64
| ~ spl6_68 ),
inference(duplicate_literal_removal,[],[f734]) ).
fof(f734,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| iLess0(X1,sdtpldt0(X1,X0))
| sdtpldt0(X1,X0) = X1
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_64
| ~ spl6_68 ),
inference(resolution,[],[f687,f669]) ).
fof(f13319,plain,
( spl6_433
| ~ spl6_280
| ~ spl6_431 ),
inference(avatar_split_clause,[],[f13309,f13306,f4415,f13317]) ).
fof(f13317,plain,
( spl6_433
<=> ! [X0,X1] :
( sdtasdt0(X1,X0) = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
fof(f13306,plain,
( spl6_431
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
fof(f13309,plain,
( ! [X0,X1] :
( sdtasdt0(X1,X0) = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) )
| ~ spl6_280
| ~ spl6_431 ),
inference(forward_demodulation,[],[f13307,f4417]) ).
fof(f13307,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_431 ),
inference(avatar_component_clause,[],[f13306]) ).
fof(f13314,plain,
( ~ spl6_432
| ~ spl6_277
| spl6_300 ),
inference(avatar_split_clause,[],[f8877,f5833,f4388,f13311]) ).
fof(f8877,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ spl6_277
| spl6_300 ),
inference(superposition,[],[f5835,f4390]) ).
fof(f5835,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xn,xm))
| spl6_300 ),
inference(avatar_component_clause,[],[f5833]) ).
fof(f13308,plain,
( spl6_431
| ~ spl6_65
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f732,f682,f672,f13306]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) )
| ~ spl6_65
| ~ spl6_67 ),
inference(duplicate_literal_removal,[],[f729]) ).
fof(f729,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(X1,X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_65
| ~ spl6_67 ),
inference(resolution,[],[f683,f673]) ).
fof(f12954,plain,
( spl6_430
| ~ spl6_277
| ~ spl6_299 ),
inference(avatar_split_clause,[],[f8876,f5828,f4388,f12951]) ).
fof(f8876,plain,
( iLess0(sz00,xm)
| ~ spl6_277
| ~ spl6_299 ),
inference(superposition,[],[f5830,f4390]) ).
fof(f12949,plain,
( spl6_429
| ~ spl6_8
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f989,f957,f290,f12947]) ).
fof(f12947,plain,
( spl6_429
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
fof(f989,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_8
| ~ spl6_90 ),
inference(resolution,[],[f958,f292]) ).
fof(f12944,plain,
( spl6_428
| ~ spl6_7
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f988,f957,f285,f12942]) ).
fof(f12942,plain,
( spl6_428
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
fof(f988,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_7
| ~ spl6_90 ),
inference(resolution,[],[f958,f287]) ).
fof(f12940,plain,
( spl6_427
| ~ spl6_8
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f975,f953,f290,f12938]) ).
fof(f12938,plain,
( spl6_427
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
fof(f975,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_89 ),
inference(resolution,[],[f954,f292]) ).
fof(f12935,plain,
( spl6_426
| ~ spl6_7
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f974,f953,f285,f12933]) ).
fof(f12933,plain,
( spl6_426
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
fof(f974,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_89 ),
inference(resolution,[],[f954,f287]) ).
fof(f12896,plain,
( ~ spl6_425
| spl6_99
| ~ spl6_105
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f12709,f4415,f1105,f1070,f12893]) ).
fof(f12709,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xp)
| spl6_99
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f1071,f5764]) ).
fof(f1071,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| spl6_99 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f12877,plain,
( spl6_424
| ~ spl6_277
| ~ spl6_292 ),
inference(avatar_split_clause,[],[f8874,f5718,f4388,f12874]) ).
fof(f8874,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl6_277
| ~ spl6_292 ),
inference(superposition,[],[f5720,f4390]) ).
fof(f5720,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl6_292 ),
inference(avatar_component_clause,[],[f5718]) ).
fof(f12872,plain,
( ~ spl6_423
| spl6_32
| ~ spl6_105
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f12673,f4415,f1105,f410,f12869]) ).
fof(f12673,plain,
( xp != sdtasdt0(xp,xk)
| spl6_32
| ~ spl6_105
| ~ spl6_280 ),
inference(forward_demodulation,[],[f411,f5764]) ).
fof(f12866,plain,
( ~ spl6_422
| spl6_30
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f12478,f4388,f402,f12863]) ).
fof(f12478,plain,
( sz00 != sdtasdt0(xp,xm)
| spl6_30
| ~ spl6_277 ),
inference(forward_demodulation,[],[f403,f4390]) ).
fof(f12801,plain,
( spl6_421
| ~ spl6_31
| ~ spl6_105
| ~ spl6_277
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f12694,f4415,f4388,f1105,f406,f12798]) ).
fof(f12694,plain,
( sdtlseqdt0(xp,xp)
| ~ spl6_31
| ~ spl6_105
| ~ spl6_277
| ~ spl6_280 ),
inference(forward_demodulation,[],[f12693,f4417]) ).
fof(f12693,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_31
| ~ spl6_105
| ~ spl6_277
| ~ spl6_280 ),
inference(forward_demodulation,[],[f12692,f4390]) ).
fof(f12427,plain,
( spl6_420
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_114
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_277
| ~ spl6_280
| ~ spl6_419 ),
inference(avatar_split_clause,[],[f12423,f12419,f4415,f4388,f3122,f2170,f2158,f1952,f1150,f1105,f441,f280,f12425]) ).
fof(f12425,plain,
( spl6_420
<=> ! [X0,X1] :
( xm = sdtasdt0(xm,sdtsldt0(X1,X0))
| xm = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
fof(f12419,plain,
( spl6_419
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
fof(f12423,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sdtsldt0(X1,X0))
| xm = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_114
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_277
| ~ spl6_280
| ~ spl6_419 ),
inference(forward_demodulation,[],[f12422,f11174]) ).
fof(f11174,plain,
( sz00 = xm
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_114
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_277
| ~ spl6_280 ),
inference(forward_demodulation,[],[f11173,f1152]) ).
fof(f11173,plain,
( sz00 = sdtpldt0(sz00,xm)
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_277
| ~ spl6_280 ),
inference(forward_demodulation,[],[f11172,f4390]) ).
fof(f11172,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),xm)
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(forward_demodulation,[],[f5233,f11123]) ).
fof(f12422,plain,
( ! [X0,X1] :
( xm = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_6
| ~ spl6_39
| ~ spl6_105
| ~ spl6_114
| ~ spl6_134
| ~ spl6_143
| ~ spl6_146
| ~ spl6_197
| ~ spl6_277
| ~ spl6_280
| ~ spl6_419 ),
inference(forward_demodulation,[],[f12420,f11174]) ).
fof(f12420,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_419 ),
inference(avatar_component_clause,[],[f12419]) ).
fof(f12421,plain,
( spl6_419
| ~ spl6_36
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f797,f752,f428,f12419]) ).
fof(f797,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_72 ),
inference(resolution,[],[f753,f429]) ).
fof(f11977,plain,
( spl6_418
| ~ spl6_277
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f8871,f5348,f4388,f11974]) ).
fof(f8871,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl6_277
| ~ spl6_286 ),
inference(superposition,[],[f5350,f4390]) ).
fof(f5350,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xm)
| ~ spl6_286 ),
inference(avatar_component_clause,[],[f5348]) ).
fof(f11739,plain,
( spl6_417
| ~ spl6_277
| ~ spl6_401 ),
inference(avatar_split_clause,[],[f9030,f9027,f4388,f11737]) ).
fof(f11737,plain,
( spl6_417
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f9027,plain,
( spl6_401
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f9030,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_277
| ~ spl6_401 ),
inference(forward_demodulation,[],[f9028,f4390]) ).
fof(f9028,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_401 ),
inference(avatar_component_clause,[],[f9027]) ).
fof(f11735,plain,
( spl6_416
| ~ spl6_277
| ~ spl6_399 ),
inference(avatar_split_clause,[],[f8987,f8984,f4388,f11733]) ).
fof(f11733,plain,
( spl6_416
<=> ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
fof(f8984,plain,
( spl6_399
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f8987,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_277
| ~ spl6_399 ),
inference(forward_demodulation,[],[f8985,f4390]) ).
fof(f8985,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_399 ),
inference(avatar_component_clause,[],[f8984]) ).
fof(f11656,plain,
( ~ spl6_415
| ~ spl6_6
| spl6_33
| ~ spl6_105
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f11638,f4415,f3122,f2170,f1105,f414,f280,f11653]) ).
fof(f11638,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xk))
| ~ spl6_6
| spl6_33
| ~ spl6_105
| ~ spl6_146
| ~ spl6_197
| ~ spl6_280 ),
inference(forward_demodulation,[],[f416,f11123]) ).
fof(f11648,plain,
( ~ spl6_285
| ~ spl6_6
| spl6_33
| ~ spl6_105
| ~ spl6_146
| ~ spl6_150
| ~ spl6_197
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f11639,f4415,f3122,f2387,f2170,f1105,f414,f280,f4744]) ).
fof(f2387,plain,
( spl6_150
<=> xm = sdtasdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f11639,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xm,xk))
| ~ spl6_6
| spl6_33
| ~ spl6_105
| ~ spl6_146
| ~ spl6_150
| ~ spl6_197
| ~ spl6_280 ),
inference(forward_demodulation,[],[f11638,f2389]) ).
fof(f2389,plain,
( xm = sdtasdt0(xm,xm)
| ~ spl6_150 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f10798,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_280
| spl6_291
| ~ spl6_24
| ~ spl6_34
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f933,f880,f419,f375,f5713,f4415,f1952,f280]) ).
fof(f933,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_24
| ~ spl6_34
| ~ spl6_84 ),
inference(forward_demodulation,[],[f925,f421]) ).
fof(f925,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_24
| ~ spl6_84 ),
inference(resolution,[],[f881,f377]) ).
fof(f10085,plain,
( spl6_414
| ~ spl6_125
| ~ spl6_277
| ~ spl6_299 ),
inference(avatar_split_clause,[],[f9045,f5828,f4388,f1245,f10082]) ).
fof(f10082,plain,
( spl6_414
<=> iLess0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
fof(f9045,plain,
( iLess0(xm,xm)
| ~ spl6_125
| ~ spl6_277
| ~ spl6_299 ),
inference(forward_demodulation,[],[f8876,f1247]) ).
fof(f1247,plain,
( sz00 = xm
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f9602,plain,
( ~ spl6_149
| ~ spl6_125
| ~ spl6_277
| spl6_300 ),
inference(avatar_split_clause,[],[f8927,f5833,f4388,f1245,f2252]) ).
fof(f8927,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ spl6_125
| ~ spl6_277
| spl6_300 ),
inference(forward_demodulation,[],[f8877,f1247]) ).
fof(f9504,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_413
| ~ spl6_21
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f839,f814,f355,f9502,f1110,f260]) ).
fof(f9502,plain,
( spl6_413
<=> ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
fof(f839,plain,
( ! [X0] :
( sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_21
| ~ spl6_75 ),
inference(resolution,[],[f815,f357]) ).
fof(f357,plain,
( sdtlseqdt0(xr,xk)
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f9496,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_412
| ~ spl6_14
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f824,f810,f320,f9494,f1110,f260]) ).
fof(f9494,plain,
( spl6_412
<=> ! [X0] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
fof(f824,plain,
( ! [X0] :
( doDivides0(X0,xk)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_14
| ~ spl6_74 ),
inference(resolution,[],[f811,f322]) ).
fof(f9465,plain,
( spl6_411
| ~ spl6_25
| ~ spl6_125
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f8912,f4388,f1245,f380,f9462]) ).
fof(f9462,plain,
( spl6_411
<=> doDivides0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
fof(f8912,plain,
( doDivides0(xr,xm)
| ~ spl6_25
| ~ spl6_125
| ~ spl6_277 ),
inference(forward_demodulation,[],[f8864,f1247]) ).
fof(f8864,plain,
( doDivides0(xr,sz00)
| ~ spl6_25
| ~ spl6_277 ),
inference(superposition,[],[f382,f4390]) ).
fof(f9289,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_410
| ~ spl6_21
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f788,f748,f355,f9286,f1110,f260]) ).
fof(f9286,plain,
( spl6_410
<=> xk = sdtpldt0(xr,sdtmndt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
fof(f788,plain,
( xk = sdtpldt0(xr,sdtmndt0(xk,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_21
| ~ spl6_71 ),
inference(resolution,[],[f749,f357]) ).
fof(f9267,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_409
| ~ spl6_21
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f772,f744,f355,f9264,f1110,f260]) ).
fof(f9264,plain,
( spl6_409
<=> xk = sdtpldt0(xr,sK5(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
fof(f772,plain,
( xk = sdtpldt0(xr,sK5(xr,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_21
| ~ spl6_70 ),
inference(resolution,[],[f745,f357]) ).
fof(f9241,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_408
| ~ spl6_14
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f757,f738,f320,f9238,f1110,f260]) ).
fof(f9238,plain,
( spl6_408
<=> xk = sdtasdt0(xr,sK4(xr,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
fof(f757,plain,
( xk = sdtasdt0(xr,sK4(xr,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_69 ),
inference(resolution,[],[f739,f322]) ).
fof(f9236,plain,
( spl6_407
| ~ spl6_24
| ~ spl6_125
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f8910,f4388,f1245,f375,f9233]) ).
fof(f8910,plain,
( doDivides0(xp,xm)
| ~ spl6_24
| ~ spl6_125
| ~ spl6_277 ),
inference(forward_demodulation,[],[f8863,f1247]) ).
fof(f8863,plain,
( doDivides0(xp,sz00)
| ~ spl6_24
| ~ spl6_277 ),
inference(superposition,[],[f377,f4390]) ).
fof(f9226,plain,
( ~ spl6_106
| ~ spl6_2
| ~ spl6_406
| spl6_159
| ~ spl6_21
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f723,f678,f355,f2690,f9223,f260,f1110]) ).
fof(f723,plain,
( xk = xr
| ~ sdtlseqdt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ spl6_21
| ~ spl6_66 ),
inference(resolution,[],[f679,f357]) ).
fof(f9221,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_159
| spl6_405
| ~ spl6_21
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f702,f668,f355,f9218,f2690,f1110,f260]) ).
fof(f9218,plain,
( spl6_405
<=> iLess0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
fof(f702,plain,
( iLess0(xr,xk)
| xk = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_21
| ~ spl6_64 ),
inference(resolution,[],[f669,f357]) ).
fof(f9092,plain,
( spl6_404
| ~ spl6_125
| ~ spl6_277
| ~ spl6_401 ),
inference(avatar_split_clause,[],[f9031,f9027,f4388,f1245,f9090]) ).
fof(f9031,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_401 ),
inference(forward_demodulation,[],[f9030,f1247]) ).
fof(f9088,plain,
( spl6_403
| ~ spl6_125
| ~ spl6_277
| ~ spl6_399 ),
inference(avatar_split_clause,[],[f8988,f8984,f4388,f1245,f9086]) ).
fof(f9086,plain,
( spl6_403
<=> ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f8988,plain,
( ! [X0] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_399 ),
inference(forward_demodulation,[],[f8987,f1247]) ).
fof(f9038,plain,
( spl6_402
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_401 ),
inference(avatar_split_clause,[],[f9034,f9027,f8701,f4388,f1245,f9036]) ).
fof(f9036,plain,
( spl6_402
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xr)
| xr = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xr)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f9034,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xr)
| xr = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_401 ),
inference(forward_demodulation,[],[f9033,f8703]) ).
fof(f9033,plain,
( ! [X0] :
( xr = X0
| sdtlseqdt0(sdtasdt0(xp,X0),xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_401 ),
inference(forward_demodulation,[],[f9032,f8703]) ).
fof(f9032,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),xr)
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(X0,xm) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_401 ),
inference(forward_demodulation,[],[f9031,f8703]) ).
fof(f9029,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_280
| spl6_401
| ~ spl6_30
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f5704,f1017,f402,f9027,f4415,f275,f280]) ).
fof(f5704,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl6_30
| ~ spl6_92 ),
inference(superposition,[],[f1018,f404]) ).
fof(f404,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f8995,plain,
( spl6_400
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_399 ),
inference(avatar_split_clause,[],[f8991,f8984,f8701,f4388,f1245,f8993]) ).
fof(f8993,plain,
( spl6_400
<=> ! [X0] :
( ~ sdtlseqdt0(xr,X0)
| xr = X0
| sdtlseqdt0(xr,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f8991,plain,
( ! [X0] :
( ~ sdtlseqdt0(xr,X0)
| xr = X0
| sdtlseqdt0(xr,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_399 ),
inference(forward_demodulation,[],[f8990,f8703]) ).
fof(f8990,plain,
( ! [X0] :
( xr = X0
| sdtlseqdt0(xr,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_399 ),
inference(forward_demodulation,[],[f8989,f8703]) ).
fof(f8989,plain,
( ! [X0] :
( sdtlseqdt0(xr,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl6_125
| ~ spl6_277
| ~ spl6_394
| ~ spl6_399 ),
inference(forward_demodulation,[],[f8988,f8703]) ).
fof(f8986,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_280
| spl6_399
| ~ spl6_30
| ~ spl6_92 ),
inference(avatar_split_clause,[],[f5703,f1017,f402,f8984,f4415,f275,f280]) ).
fof(f5703,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) )
| ~ spl6_30
| ~ spl6_92 ),
inference(superposition,[],[f1018,f404]) ).
fof(f8743,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_398
| spl6_394
| ~ spl6_14
| ~ spl6_94
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f4428,f1245,f1037,f320,f8701,f8741,f1110,f260]) ).
fof(f4428,plain,
( ! [X0] :
( xm = xr
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) )
| ~ spl6_14
| ~ spl6_94
| ~ spl6_125 ),
inference(forward_demodulation,[],[f1047,f1247]) ).
fof(f8739,plain,
( spl6_397
| ~ spl6_23
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f4466,f1110,f365,f8736]) ).
fof(f4466,plain,
( sP1(xk)
| ~ spl6_23
| ~ spl6_106 ),
inference(resolution,[],[f1111,f366]) ).
fof(f8733,plain,
( ~ spl6_5
| ~ spl6_395
| spl6_396
| ~ spl6_75
| ~ spl6_284 ),
inference(avatar_split_clause,[],[f8551,f4714,f814,f8731,f8727,f275]) ).
fof(f8731,plain,
( spl6_396
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f8551,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xk,xp))
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_284 ),
inference(resolution,[],[f4716,f815]) ).
fof(f8704,plain,
( ~ spl6_2
| ~ spl6_106
| spl6_393
| spl6_394
| ~ spl6_14
| ~ spl6_84
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f4427,f1245,f880,f320,f8701,f8697,f1110,f260]) ).
fof(f4427,plain,
( xm = xr
| xk = sdtasdt0(xr,sdtsldt0(xk,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ spl6_14
| ~ spl6_84
| ~ spl6_125 ),
inference(forward_demodulation,[],[f926,f1247]) ).
fof(f8694,plain,
( ~ spl6_392
| spl6_276
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f8435,f4388,f4384,f8691]) ).
fof(f8435,plain,
( ~ sdtlseqdt0(xp,sz00)
| spl6_276
| ~ spl6_277 ),
inference(forward_demodulation,[],[f4385,f4390]) ).
fof(f4385,plain,
( ~ sdtlseqdt0(xp,sdtasdt0(xn,xm))
| spl6_276 ),
inference(avatar_component_clause,[],[f4384]) ).
fof(f8688,plain,
( spl6_391
| ~ spl6_7
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f8478,f4388,f2808,f748,f406,f402,f285,f8685]) ).
fof(f2808,plain,
( spl6_167
<=> xm = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f8478,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm))
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167
| ~ spl6_277 ),
inference(forward_demodulation,[],[f8477,f4390]) ).
fof(f8477,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm))
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167
| ~ spl6_277 ),
inference(duplicate_literal_removal,[],[f8476]) ).
fof(f8476,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167
| ~ spl6_277 ),
inference(forward_demodulation,[],[f8475,f404]) ).
fof(f8475,plain,
( sz00 = sdtpldt0(xm,sdtmndt0(sz00,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167
| ~ spl6_277 ),
inference(forward_demodulation,[],[f8474,f4390]) ).
fof(f8474,plain,
( sdtasdt0(xn,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xn,xm),xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_30
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167 ),
inference(forward_demodulation,[],[f5077,f404]) ).
fof(f5077,plain,
( sdtasdt0(xp,xm) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xm),xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_31
| ~ spl6_71
| ~ spl6_167 ),
inference(forward_demodulation,[],[f1947,f2810]) ).
fof(f2810,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl6_167 ),
inference(avatar_component_clause,[],[f2808]) ).
fof(f8655,plain,
( spl6_125
| ~ spl6_167
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f4395,f4388,f2808,f1245]) ).
fof(f4395,plain,
( sz00 = xm
| ~ spl6_167
| ~ spl6_277 ),
inference(forward_demodulation,[],[f4390,f2810]) ).
fof(f8654,plain,
( spl6_167
| ~ spl6_6
| ~ spl6_30
| ~ spl6_146
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f5617,f3122,f2170,f402,f280,f2808]) ).
fof(f5617,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl6_6
| ~ spl6_30
| ~ spl6_146
| ~ spl6_197 ),
inference(forward_demodulation,[],[f404,f5037]) ).
fof(f8379,plain,
( ~ spl6_5
| spl6_125
| ~ spl6_6
| spl6_306
| ~ spl6_30
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f5702,f939,f402,f5998,f280,f1245,f275]) ).
fof(f5998,plain,
( spl6_306
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f5702,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_86 ),
inference(superposition,[],[f940,f404]) ).
fof(f8373,plain,
( ~ spl6_6
| spl6_280
| ~ spl6_5
| spl6_390
| ~ spl6_30
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f5700,f935,f402,f8371,f275,f4415,f280]) ).
fof(f5700,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xp,X0)
| xm = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl6_30
| ~ spl6_85 ),
inference(superposition,[],[f936,f404]) ).
fof(f8364,plain,
( ~ spl6_389
| ~ spl6_106
| ~ spl6_147
| spl6_283 ),
inference(avatar_split_clause,[],[f4683,f4679,f2174,f1110,f8361]) ).
fof(f4683,plain,
( ~ sdtlseqdt0(sdtasdt0(xk,xp),xm)
| ~ spl6_106
| ~ spl6_147
| spl6_283 ),
inference(forward_demodulation,[],[f4680,f4485]) ).
fof(f8337,plain,
( spl6_388
| ~ spl6_30
| ~ spl6_33
| ~ spl6_106
| ~ spl6_147 ),
inference(avatar_split_clause,[],[f8319,f2174,f1110,f414,f402,f8334]) ).
fof(f8319,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xk,xp))
| ~ spl6_30
| ~ spl6_33
| ~ spl6_106
| ~ spl6_147 ),
inference(forward_demodulation,[],[f4710,f404]) ).
fof(f8256,plain,
( spl6_15
| ~ spl6_4
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f6006,f5998,f270,f325]) ).
fof(f325,plain,
( spl6_15
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f6006,plain,
( ~ aNaturalNumber0(xn)
| xn = xp
| ~ spl6_306 ),
inference(equality_resolution,[],[f5999]) ).
fof(f5999,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| xp = X0 )
| ~ spl6_306 ),
inference(avatar_component_clause,[],[f5998]) ).
fof(f8255,plain,
( spl6_387
| ~ spl6_280
| ~ spl6_386 ),
inference(avatar_split_clause,[],[f8251,f8247,f4415,f8253]) ).
fof(f8247,plain,
( spl6_386
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f8251,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sdtsldt0(X1,X0),xp)
| xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_386 ),
inference(forward_demodulation,[],[f8250,f4417]) ).
fof(f8250,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_280
| ~ spl6_386 ),
inference(forward_demodulation,[],[f8248,f4417]) ).
fof(f8248,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_386 ),
inference(avatar_component_clause,[],[f8247]) ).
fof(f8249,plain,
( spl6_386
| ~ spl6_35
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f796,f752,f424,f8247]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtsldt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_72 ),
inference(resolution,[],[f753,f425]) ).
fof(f8225,plain,
( spl6_385
| ~ spl6_280
| ~ spl6_384 ),
inference(avatar_split_clause,[],[f8221,f8218,f4415,f8223]) ).
fof(f8223,plain,
( spl6_385
<=> ! [X0] :
( xp = X0
| sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f8218,plain,
( spl6_384
<=> ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f8221,plain,
( ! [X0] :
( xp = X0
| sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_384 ),
inference(forward_demodulation,[],[f8219,f4417]) ).
fof(f8219,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ spl6_384 ),
inference(avatar_component_clause,[],[f8218]) ).
fof(f8220,plain,
( ~ spl6_8
| spl6_384
| ~ spl6_46
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f789,f748,f530,f8218,f290]) ).
fof(f789,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_46
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f784]) ).
fof(f784,plain,
( ! [X0] :
( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46
| ~ spl6_71 ),
inference(resolution,[],[f749,f531]) ).
fof(f8196,plain,
( spl6_383
| ~ spl6_280
| ~ spl6_382 ),
inference(avatar_split_clause,[],[f8192,f8189,f4415,f8194]) ).
fof(f8194,plain,
( spl6_383
<=> ! [X0] :
( xp = X0
| sdtpldt0(sz10,sK5(sz10,X0)) = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f8189,plain,
( spl6_382
<=> ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| sz00 = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f8192,plain,
( ! [X0] :
( xp = X0
| sdtpldt0(sz10,sK5(sz10,X0)) = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_382 ),
inference(forward_demodulation,[],[f8190,f4417]) ).
fof(f8190,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sdtpldt0(sz10,sK5(sz10,X0)) = X0 )
| ~ spl6_382 ),
inference(avatar_component_clause,[],[f8189]) ).
fof(f8191,plain,
( ~ spl6_8
| spl6_382
| ~ spl6_46
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f773,f744,f530,f8189,f290]) ).
fof(f773,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_46
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f768]) ).
fof(f768,plain,
( ! [X0] :
( sdtpldt0(sz10,sK5(sz10,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46
| ~ spl6_70 ),
inference(resolution,[],[f745,f531]) ).
fof(f8131,plain,
( spl6_381
| ~ spl6_280
| ~ spl6_380 ),
inference(avatar_split_clause,[],[f8105,f8102,f4415,f8129]) ).
fof(f8129,plain,
( spl6_381
<=> ! [X0] :
( xp = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f8102,plain,
( spl6_380
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f8105,plain,
( ! [X0] :
( xp = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_280
| ~ spl6_380 ),
inference(forward_demodulation,[],[f8103,f4417]) ).
fof(f8103,plain,
( ! [X0] :
( sdtlseqdt0(sK2(X0),X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_380 ),
inference(avatar_component_clause,[],[f8102]) ).
fof(f8104,plain,
( spl6_380
| ~ spl6_56
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f714,f672,f634,f8102]) ).
fof(f714,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0 )
| ~ spl6_56
| ~ spl6_65 ),
inference(duplicate_literal_removal,[],[f711]) ).
fof(f711,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK2(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 )
| ~ spl6_56
| ~ spl6_65 ),
inference(resolution,[],[f673,f635]) ).
fof(f8100,plain,
( spl6_379
| ~ spl6_44
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f597,f555,f498,f8098]) ).
fof(f8098,plain,
( spl6_379
<=> ! [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,[spl6_379])]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_44
| ~ spl6_52 ),
inference(resolution,[],[f556,f499]) ).
fof(f8096,plain,
( spl6_378
| ~ spl6_42
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f596,f555,f489,f8094]) ).
fof(f8094,plain,
( spl6_378
<=> ! [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,[spl6_378])]) ).
fof(f596,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_42
| ~ spl6_52 ),
inference(resolution,[],[f556,f490]) ).
fof(f8092,plain,
( spl6_377
| ~ spl6_44
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f587,f546,f498,f8090]) ).
fof(f8090,plain,
( spl6_377
<=> ! [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,[spl6_377])]) ).
fof(f587,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_44
| ~ spl6_50 ),
inference(resolution,[],[f547,f499]) ).
fof(f8088,plain,
( spl6_376
| ~ spl6_42
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f586,f546,f489,f8086]) ).
fof(f8086,plain,
( spl6_376
<=> ! [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,[spl6_376])]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| ~ spl6_42
| ~ spl6_50 ),
inference(resolution,[],[f547,f490]) ).
fof(f7938,plain,
( spl6_375
| ~ spl6_2
| ~ spl6_186
| ~ spl6_279 ),
inference(avatar_split_clause,[],[f5354,f4405,f2999,f260,f7935]) ).
fof(f5354,plain,
( ~ aNaturalNumber0(xr)
| sdtlseqdt0(xr,xp)
| ~ spl6_186
| ~ spl6_279 ),
inference(resolution,[],[f4406,f3000]) ).
fof(f7834,plain,
( spl6_374
| ~ spl6_2
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f997,f957,f260,f7832]) ).
fof(f7832,plain,
( spl6_374
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f997,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xr),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xr,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_2
| ~ spl6_90 ),
inference(resolution,[],[f958,f262]) ).
fof(f7830,plain,
( spl6_373
| ~ spl6_6
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f996,f957,f280,f7828]) ).
fof(f7828,plain,
( spl6_373
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f996,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xp),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_6
| ~ spl6_90 ),
inference(resolution,[],[f958,f282]) ).
fof(f7826,plain,
( spl6_372
| ~ spl6_5
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f995,f957,f275,f7824]) ).
fof(f7824,plain,
( spl6_372
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f995,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xm),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_5
| ~ spl6_90 ),
inference(resolution,[],[f958,f277]) ).
fof(f7822,plain,
( spl6_371
| ~ spl6_4
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f994,f957,f270,f7820]) ).
fof(f7820,plain,
( spl6_371
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f994,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xn),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_4
| ~ spl6_90 ),
inference(resolution,[],[f958,f272]) ).
fof(f7818,plain,
( spl6_370
| ~ spl6_2
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f983,f953,f260,f7816]) ).
fof(f7816,plain,
( spl6_370
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f983,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xr)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_89 ),
inference(resolution,[],[f954,f262]) ).
fof(f7814,plain,
( spl6_369
| ~ spl6_6
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f982,f953,f280,f7812]) ).
fof(f7812,plain,
( spl6_369
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f982,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_89 ),
inference(resolution,[],[f954,f282]) ).
fof(f7810,plain,
( spl6_368
| ~ spl6_5
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f981,f953,f275,f7808]) ).
fof(f7808,plain,
( spl6_368
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f981,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xm)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_89 ),
inference(resolution,[],[f954,f277]) ).
fof(f7786,plain,
( spl6_367
| ~ spl6_4
| ~ spl6_89 ),
inference(avatar_split_clause,[],[f980,f953,f270,f7784]) ).
fof(f7784,plain,
( spl6_367
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f980,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_89 ),
inference(resolution,[],[f954,f272]) ).
fof(f7760,plain,
( ~ spl6_2
| ~ spl6_134
| spl6_366
| ~ spl6_25
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f758,f738,f380,f7757,f1952,f260]) ).
fof(f7757,plain,
( spl6_366
<=> sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f758,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_69 ),
inference(resolution,[],[f739,f382]) ).
fof(f7738,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_365
| ~ spl6_24
| ~ spl6_69 ),
inference(avatar_split_clause,[],[f756,f738,f375,f7735,f1952,f280]) ).
fof(f756,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_24
| ~ spl6_69 ),
inference(resolution,[],[f739,f377]) ).
fof(f7470,plain,
( spl6_364
| ~ spl6_41
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f630,f567,f449,f7468]) ).
fof(f7468,plain,
( spl6_364
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f630,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ spl6_41
| ~ spl6_55 ),
inference(resolution,[],[f568,f450]) ).
fof(f7466,plain,
( spl6_363
| ~ spl6_40
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f629,f567,f445,f7464]) ).
fof(f7464,plain,
( spl6_363
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f629,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) )
| ~ spl6_40
| ~ spl6_55 ),
inference(resolution,[],[f568,f446]) ).
fof(f7411,plain,
( spl6_362
| ~ spl6_280
| ~ spl6_361 ),
inference(avatar_split_clause,[],[f7407,f7404,f4415,f7409]) ).
fof(f7404,plain,
( spl6_361
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f7407,plain,
( ! [X0,X1] :
( sdtmndt0(X1,X0) = sdtpldt0(xp,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_361 ),
inference(forward_demodulation,[],[f7405,f4417]) ).
fof(f7405,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_361 ),
inference(avatar_component_clause,[],[f7404]) ).
fof(f7406,plain,
( spl6_361
| ~ spl6_39
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f628,f567,f441,f7404]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_55 ),
inference(resolution,[],[f568,f442]) ).
fof(f7351,plain,
( spl6_360
| ~ spl6_280
| ~ spl6_359 ),
inference(avatar_split_clause,[],[f7347,f7344,f4415,f7349]) ).
fof(f7344,plain,
( spl6_359
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f7347,plain,
( ! [X0,X1] :
( sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_359 ),
inference(forward_demodulation,[],[f7345,f4417]) ).
fof(f7345,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_359 ),
inference(avatar_component_clause,[],[f7344]) ).
fof(f7346,plain,
( spl6_359
| ~ spl6_37
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f627,f567,f432,f7344]) ).
fof(f627,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_37
| ~ spl6_55 ),
inference(resolution,[],[f568,f433]) ).
fof(f7342,plain,
( spl6_358
| ~ spl6_41
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f621,f563,f449,f7340]) ).
fof(f621,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) )
| ~ spl6_41
| ~ spl6_54 ),
inference(resolution,[],[f564,f450]) ).
fof(f7315,plain,
( spl6_357
| ~ spl6_40
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f620,f563,f445,f7313]) ).
fof(f620,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) )
| ~ spl6_40
| ~ spl6_54 ),
inference(resolution,[],[f564,f446]) ).
fof(f7260,plain,
( spl6_356
| ~ spl6_280
| ~ spl6_355 ),
inference(avatar_split_clause,[],[f7256,f7253,f4415,f7258]) ).
fof(f7256,plain,
( ! [X0,X1] :
( sK5(X0,X1) = sdtpldt0(xp,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_355 ),
inference(forward_demodulation,[],[f7254,f4417]) ).
fof(f7255,plain,
( spl6_355
| ~ spl6_39
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f619,f563,f441,f7253]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) )
| ~ spl6_39
| ~ spl6_54 ),
inference(resolution,[],[f564,f442]) ).
fof(f7200,plain,
( spl6_354
| ~ spl6_280
| ~ spl6_353 ),
inference(avatar_split_clause,[],[f7196,f7193,f4415,f7198]) ).
fof(f7196,plain,
( ! [X0,X1] :
( sK5(X0,X1) = sdtpldt0(sK5(X0,X1),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_353 ),
inference(forward_demodulation,[],[f7194,f4417]) ).
fof(f7195,plain,
( spl6_353
| ~ spl6_37
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f618,f563,f432,f7193]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) )
| ~ spl6_37
| ~ spl6_54 ),
inference(resolution,[],[f564,f433]) ).
fof(f7191,plain,
( spl6_352
| ~ spl6_41
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f612,f559,f449,f7189]) ).
fof(f7189,plain,
( spl6_352
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) )
| ~ spl6_41
| ~ spl6_53 ),
inference(resolution,[],[f560,f450]) ).
fof(f7187,plain,
( spl6_351
| ~ spl6_40
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f611,f559,f445,f7185]) ).
fof(f7185,plain,
( spl6_351
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) )
| ~ spl6_40
| ~ spl6_53 ),
inference(resolution,[],[f560,f446]) ).
fof(f7144,plain,
( spl6_350
| ~ spl6_280
| ~ spl6_349 ),
inference(avatar_split_clause,[],[f7140,f7137,f4415,f7142]) ).
fof(f7142,plain,
( spl6_350
<=> ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f7137,plain,
( spl6_349
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f7140,plain,
( ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_349 ),
inference(forward_demodulation,[],[f7138,f4417]) ).
fof(f7138,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_349 ),
inference(avatar_component_clause,[],[f7137]) ).
fof(f7139,plain,
( spl6_349
| ~ spl6_39
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f610,f559,f441,f7137]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) )
| ~ spl6_39
| ~ spl6_53 ),
inference(resolution,[],[f560,f442]) ).
fof(f7117,plain,
( spl6_348
| ~ spl6_280
| ~ spl6_347 ),
inference(avatar_split_clause,[],[f7113,f7110,f4415,f7115]) ).
fof(f7115,plain,
( spl6_348
<=> ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f7110,plain,
( spl6_347
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f7113,plain,
( ! [X0,X1] :
( sK4(X0,X1) = sdtpldt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_280
| ~ spl6_347 ),
inference(forward_demodulation,[],[f7111,f4417]) ).
fof(f7111,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_347 ),
inference(avatar_component_clause,[],[f7110]) ).
fof(f7112,plain,
( spl6_347
| ~ spl6_37
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f609,f559,f432,f7110]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) )
| ~ spl6_37
| ~ spl6_53 ),
inference(resolution,[],[f560,f433]) ).
fof(f7085,plain,
( ~ spl6_2
| ~ spl6_134
| spl6_346
| ~ spl6_25
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f825,f810,f380,f7083,f1952,f260]) ).
fof(f7083,plain,
( spl6_346
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f825,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl6_25
| ~ spl6_74 ),
inference(resolution,[],[f811,f382]) ).
fof(f7058,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_345
| ~ spl6_24
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f823,f810,f375,f7056,f1952,f280]) ).
fof(f7056,plain,
( spl6_345
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f823,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl6_24
| ~ spl6_74 ),
inference(resolution,[],[f811,f377]) ).
fof(f6890,plain,
( spl6_344
| ~ spl6_249
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4826,f4415,f3987,f6888]) ).
fof(f6888,plain,
( spl6_344
<=> ! [X0] :
( sK2(X0) = sdtpldt0(sK2(X0),xp)
| xp = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f3987,plain,
( spl6_249
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f4826,plain,
( ! [X0] :
( sK2(X0) = sdtpldt0(sK2(X0),xp)
| xp = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_249
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4825,f4417]) ).
fof(f4825,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_249
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3988,f4417]) ).
fof(f3988,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_249 ),
inference(avatar_component_clause,[],[f3987]) ).
fof(f6886,plain,
( spl6_343
| ~ spl6_251
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4824,f4415,f4001,f6884]) ).
fof(f6884,plain,
( spl6_343
<=> ! [X0] :
( sK2(X0) = sdtpldt0(xp,sK2(X0))
| xp = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f4001,plain,
( spl6_251
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f4824,plain,
( ! [X0] :
( sK2(X0) = sdtpldt0(xp,sK2(X0))
| xp = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_251
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4823,f4417]) ).
fof(f4823,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_251
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4002,f4417]) ).
fof(f4002,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_251 ),
inference(avatar_component_clause,[],[f4001]) ).
fof(f6858,plain,
( spl6_342
| ~ spl6_253
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4822,f4415,f4015,f6856]) ).
fof(f6856,plain,
( spl6_342
<=> ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f4015,plain,
( spl6_253
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f4822,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_253
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4016,f4417]) ).
fof(f4016,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_253 ),
inference(avatar_component_clause,[],[f4015]) ).
fof(f6854,plain,
( spl6_341
| ~ spl6_256
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4821,f4415,f4033,f6852]) ).
fof(f6852,plain,
( spl6_341
<=> ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f4033,plain,
( spl6_256
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f4821,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_256
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4034,f4417]) ).
fof(f4034,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_256 ),
inference(avatar_component_clause,[],[f4033]) ).
fof(f6850,plain,
( spl6_340
| ~ spl6_258
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4820,f4415,f4046,f6848]) ).
fof(f6848,plain,
( spl6_340
<=> ! [X0] :
( sK3(X0) = sdtpldt0(sK3(X0),xp)
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f4046,plain,
( spl6_258
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f4820,plain,
( ! [X0] :
( sK3(X0) = sdtpldt0(sK3(X0),xp)
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_258
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4819,f4417]) ).
fof(f4819,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_258
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4047,f4417]) ).
fof(f4047,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_258 ),
inference(avatar_component_clause,[],[f4046]) ).
fof(f6846,plain,
( spl6_339
| ~ spl6_260
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4815,f4415,f4075,f6844]) ).
fof(f6844,plain,
( spl6_339
<=> ! [X0] :
( sK3(X0) = sdtpldt0(xp,sK3(X0))
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f4075,plain,
( spl6_260
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f4815,plain,
( ! [X0] :
( sK3(X0) = sdtpldt0(xp,sK3(X0))
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_260
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4814,f4417]) ).
fof(f4814,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_260
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4076,f4417]) ).
fof(f4076,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_260 ),
inference(avatar_component_clause,[],[f4075]) ).
fof(f6842,plain,
( spl6_338
| ~ spl6_263
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4810,f4415,f4109,f6840]) ).
fof(f6840,plain,
( spl6_338
<=> ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f4109,plain,
( spl6_263
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f4810,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_263
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4110,f4417]) ).
fof(f4110,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_263 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f6838,plain,
( spl6_337
| ~ spl6_265
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4806,f4415,f4137,f6836]) ).
fof(f6836,plain,
( spl6_337
<=> ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f4137,plain,
( spl6_265
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f4806,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_265
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4138,f4417]) ).
fof(f4138,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_265 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f6834,plain,
( spl6_336
| ~ spl6_267
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4802,f4415,f4165,f6832]) ).
fof(f6832,plain,
( spl6_336
<=> ! [X0] :
( xp = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f4165,plain,
( spl6_267
<=> ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f4802,plain,
( ! [X0] :
( xp = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_267
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4166,f4417]) ).
fof(f4166,plain,
( ! [X0] :
( sdtlseqdt0(sK3(X0),X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_267 ),
inference(avatar_component_clause,[],[f4165]) ).
fof(f6518,plain,
( spl6_335
| ~ spl6_212
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4904,f4415,f3329,f6516]) ).
fof(f6516,plain,
( spl6_335
<=> ! [X0] :
( xp = sdtasdt0(sK2(X0),xp)
| xp = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f3329,plain,
( spl6_212
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f4904,plain,
( ! [X0] :
( xp = sdtasdt0(sK2(X0),xp)
| xp = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_212
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4903,f4417]) ).
fof(f4903,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_212
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3330,f4417]) ).
fof(f3330,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_212 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f6514,plain,
( spl6_334
| ~ spl6_214
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4902,f4415,f3343,f6512]) ).
fof(f6512,plain,
( spl6_334
<=> ! [X0] :
( xp = sdtasdt0(xp,sK2(X0))
| xp = X0
| sP0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f3343,plain,
( spl6_214
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f4902,plain,
( ! [X0] :
( xp = sdtasdt0(xp,sK2(X0))
| xp = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_214
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4901,f4417]) ).
fof(f4901,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_214
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3344,f4417]) ).
fof(f3344,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_214 ),
inference(avatar_component_clause,[],[f3343]) ).
fof(f6488,plain,
( spl6_333
| ~ spl6_216
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4900,f4415,f3357,f6486]) ).
fof(f6486,plain,
( spl6_333
<=> ! [X0] :
( xp = sdtasdt0(sK3(X0),xp)
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f3357,plain,
( spl6_216
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f4900,plain,
( ! [X0] :
( xp = sdtasdt0(sK3(X0),xp)
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_216
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4899,f4417]) ).
fof(f4899,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_216
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3358,f4417]) ).
fof(f3358,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_216 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f6484,plain,
( spl6_332
| ~ spl6_218
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4895,f4415,f3386,f6482]) ).
fof(f6482,plain,
( spl6_332
<=> ! [X0] :
( xp = sdtasdt0(xp,sK3(X0))
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f3386,plain,
( spl6_218
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f4895,plain,
( ! [X0] :
( xp = sdtasdt0(xp,sK3(X0))
| xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_218
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4894,f4417]) ).
fof(f4894,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_218
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3387,f4417]) ).
fof(f3387,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_218 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f6480,plain,
( spl6_331
| ~ spl6_221
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4890,f4415,f3420,f6478]) ).
fof(f6478,plain,
( spl6_331
<=> ! [X0,X1] :
( xp = sdtasdt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f3420,plain,
( spl6_221
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f4890,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sK4(X0,X1),xp)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_221
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3421,f4417]) ).
fof(f3421,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) )
| ~ spl6_221 ),
inference(avatar_component_clause,[],[f3420]) ).
fof(f6476,plain,
( spl6_330
| ~ spl6_223
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4887,f4415,f3445,f6474]) ).
fof(f6474,plain,
( spl6_330
<=> ! [X0,X1] :
( xp = sdtasdt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f3445,plain,
( spl6_223
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f4887,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_223
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3446,f4417]) ).
fof(f3446,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) )
| ~ spl6_223 ),
inference(avatar_component_clause,[],[f3445]) ).
fof(f6472,plain,
( spl6_329
| ~ spl6_225
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4884,f4415,f3470,f6470]) ).
fof(f4884,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sK5(X0,X1),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_225
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3471,f4417]) ).
fof(f6468,plain,
( spl6_328
| ~ spl6_228
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4879,f4415,f3512,f6466]) ).
fof(f4879,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_228
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3513,f4417]) ).
fof(f6464,plain,
( spl6_327
| ~ spl6_230
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4874,f4415,f3549,f6462]) ).
fof(f4874,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sdtmndt0(X1,X0),xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_230
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3550,f4417]) ).
fof(f6460,plain,
( spl6_326
| ~ spl6_232
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4869,f4415,f3586,f6458]) ).
fof(f4869,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_232
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3587,f4417]) ).
fof(f6456,plain,
( spl6_325
| ~ spl6_237
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4864,f4415,f3636,f6454]) ).
fof(f6454,plain,
( spl6_325
<=> ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f3636,plain,
( spl6_237
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f4864,plain,
( ! [X0,X1] :
( xp = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_237
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3637,f4417]) ).
fof(f3637,plain,
( ! [X0,X1] :
( sP1(sdtsldt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) )
| ~ spl6_237 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f6342,plain,
( spl6_324
| ~ spl6_187
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4942,f4415,f3011,f6340]) ).
fof(f4942,plain,
( ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_187
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3012,f4417]) ).
fof(f6338,plain,
( spl6_323
| ~ spl6_190
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4937,f4415,f3047,f6336]) ).
fof(f4937,plain,
( ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(xp,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_190
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3048,f4417]) ).
fof(f6334,plain,
( spl6_322
| ~ spl6_194
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4932,f4415,f3086,f6332]) ).
fof(f4932,plain,
( ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_194
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3087,f4417]) ).
fof(f6330,plain,
( spl6_321
| ~ spl6_196
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4927,f4415,f3117,f6328]) ).
fof(f4927,plain,
( ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(xp,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_196
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3118,f4417]) ).
fof(f6218,plain,
( spl6_320
| ~ spl6_168
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4968,f4415,f2813,f6216]) ).
fof(f4968,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sdtpldt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_168
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2814,f4417]) ).
fof(f6214,plain,
( spl6_319
| ~ spl6_170
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4962,f4415,f2844,f6212]) ).
fof(f4962,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_170
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2845,f4417]) ).
fof(f6210,plain,
( spl6_318
| ~ spl6_172
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4956,f4415,f2875,f6208]) ).
fof(f4956,plain,
( ! [X0,X1] :
( xp = sdtasdt0(sdtasdt0(X1,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_172
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2876,f4417]) ).
fof(f6206,plain,
( spl6_317
| ~ spl6_174
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4950,f4415,f2906,f6204]) ).
fof(f4950,plain,
( ! [X0,X1] :
( xp = sdtasdt0(xp,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_174
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2907,f4417]) ).
fof(f6202,plain,
( spl6_316
| ~ spl6_177
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4945,f4415,f2942,f6200]) ).
fof(f6200,plain,
( spl6_316
<=> ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f2942,plain,
( spl6_177
<=> ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f4945,plain,
( ! [X0] :
( xp = X0
| sP0(X0)
| sz10 = X0
| sP1(sK2(X0)) )
| ~ spl6_177
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2943,f4417]) ).
fof(f2943,plain,
( ! [X0] :
( sP1(sK2(X0))
| sz10 = X0
| sz00 = X0
| sP0(X0) )
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f6198,plain,
( spl6_315
| ~ spl6_179
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4944,f4415,f2953,f6196]) ).
fof(f6196,plain,
( spl6_315
<=> ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f2953,plain,
( spl6_179
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f4944,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_179
| ~ spl6_280 ),
inference(forward_demodulation,[],[f2954,f4417]) ).
fof(f2954,plain,
( ! [X0] :
( sP1(sK3(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_179 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f6194,plain,
( spl6_314
| ~ spl6_201
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4922,f4415,f3161,f6192]) ).
fof(f6192,plain,
( spl6_314
<=> ! [X0] :
( xp = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f3161,plain,
( spl6_201
<=> ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f4922,plain,
( ! [X0] :
( xp = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_201
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3162,f4417]) ).
fof(f3162,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_201 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f6190,plain,
( spl6_313
| ~ spl6_204
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4921,f4415,f3174,f6188]) ).
fof(f6188,plain,
( spl6_313
<=> ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f3174,plain,
( spl6_204
<=> ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f4921,plain,
( ! [X0] :
( xp = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) )
| ~ spl6_204
| ~ spl6_280 ),
inference(forward_demodulation,[],[f3175,f4417]) ).
fof(f3175,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz10)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_204 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f6162,plain,
( ~ spl6_134
| ~ spl6_97
| spl6_312
| ~ spl6_71
| ~ spl6_288 ),
inference(avatar_split_clause,[],[f5509,f5497,f748,f6159,f1062,f1952]) ).
fof(f6159,plain,
( spl6_312
<=> sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f5509,plain,
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_71
| ~ spl6_288 ),
inference(resolution,[],[f5499,f749]) ).
fof(f5499,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
| ~ spl6_288 ),
inference(avatar_component_clause,[],[f5497]) ).
fof(f6133,plain,
( ~ spl6_134
| ~ spl6_97
| spl6_311
| ~ spl6_70
| ~ spl6_288 ),
inference(avatar_split_clause,[],[f5508,f5497,f744,f6130,f1062,f1952]) ).
fof(f6130,plain,
( spl6_311
<=> sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f5508,plain,
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xk)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_70
| ~ spl6_288 ),
inference(resolution,[],[f5499,f745]) ).
fof(f6111,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_310
| spl6_17
| ~ spl6_30
| ~ spl6_93
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5711,f4415,f1021,f402,f335,f6109,f280,f275]) ).
fof(f6109,plain,
( spl6_310
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| xp = X0
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f5711,plain,
( ! [X0] :
( xm = xp
| sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_93
| ~ spl6_280 ),
inference(forward_demodulation,[],[f5706,f4417]) ).
fof(f5706,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_93 ),
inference(superposition,[],[f1022,f404]) ).
fof(f6068,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_309
| spl6_17
| ~ spl6_30
| ~ spl6_93
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5710,f4415,f1021,f402,f335,f6066,f280,f275]) ).
fof(f5710,plain,
( ! [X0] :
( xm = xp
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_93
| ~ spl6_280 ),
inference(forward_demodulation,[],[f5705,f4417]) ).
fof(f5705,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xp,X0)
| xp = X0
| sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_93 ),
inference(superposition,[],[f1022,f404]) ).
fof(f6064,plain,
( ~ spl6_134
| ~ spl6_97
| spl6_291
| spl6_308
| ~ spl6_64
| ~ spl6_288 ),
inference(avatar_split_clause,[],[f5506,f5497,f668,f6061,f5713,f1062,f1952]) ).
fof(f5506,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_64
| ~ spl6_288 ),
inference(resolution,[],[f5499,f669]) ).
fof(f6059,plain,
( ~ spl6_208
| spl6_277
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5366,f4415,f4388,f3308]) ).
fof(f5366,plain,
( xp != sdtasdt0(xn,xm)
| spl6_277
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4389,f4417]) ).
fof(f4389,plain,
( sz00 != sdtasdt0(xn,xm)
| spl6_277 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f6010,plain,
( ~ spl6_134
| ~ spl6_97
| spl6_307
| ~ spl6_75
| ~ spl6_288 ),
inference(avatar_split_clause,[],[f5510,f5497,f814,f6008,f1062,f1952]) ).
fof(f5510,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_288 ),
inference(resolution,[],[f5499,f815]) ).
fof(f6000,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_306
| spl6_17
| ~ spl6_30
| ~ spl6_86
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f5708,f4415,f939,f402,f335,f5998,f280,f275]) ).
fof(f5708,plain,
( ! [X0] :
( xm = xp
| sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_86
| ~ spl6_280 ),
inference(forward_demodulation,[],[f5701,f4417]) ).
fof(f5701,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xm)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl6_30
| ~ spl6_86 ),
inference(superposition,[],[f940,f404]) ).
fof(f5967,plain,
( ~ spl6_134
| ~ spl6_5
| spl6_300
| ~ spl6_45
| spl6_286 ),
inference(avatar_split_clause,[],[f5965,f5348,f516,f5833,f275,f1952]) ).
fof(f5965,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_45
| spl6_286 ),
inference(resolution,[],[f5349,f517]) ).
fof(f5349,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),xm)
| spl6_286 ),
inference(avatar_component_clause,[],[f5348]) ).
fof(f5961,plain,
( ~ spl6_134
| ~ spl6_5
| spl6_305
| ~ spl6_71
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f5407,f5348,f748,f5958,f275,f1952]) ).
fof(f5958,plain,
( spl6_305
<=> xm = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xm,sdtasdt0(xn,xm))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f5407,plain,
( xm = sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(xm,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_71
| ~ spl6_286 ),
inference(resolution,[],[f5350,f749]) ).
fof(f5938,plain,
( ~ spl6_134
| ~ spl6_5
| spl6_304
| ~ spl6_70
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f5406,f5348,f744,f5935,f275,f1952]) ).
fof(f5935,plain,
( spl6_304
<=> xm = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f5406,plain,
( xm = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_70
| ~ spl6_286 ),
inference(resolution,[],[f5350,f745]) ).
fof(f5909,plain,
( ~ spl6_5
| ~ spl6_97
| spl6_303
| ~ spl6_71
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f5158,f4433,f748,f5906,f1062,f275]) ).
fof(f5158,plain,
( sdtasdt0(xp,xk) = sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xk),xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_71
| ~ spl6_281 ),
inference(resolution,[],[f4435,f749]) ).
fof(f4435,plain,
( sdtlseqdt0(xm,sdtasdt0(xp,xk))
| ~ spl6_281 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f5880,plain,
( ~ spl6_5
| ~ spl6_97
| spl6_302
| ~ spl6_70
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f5157,f4433,f744,f5877,f1062,f275]) ).
fof(f5157,plain,
( sdtasdt0(xp,xk) = sdtpldt0(xm,sK5(xm,sdtasdt0(xp,xk)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_70
| ~ spl6_281 ),
inference(resolution,[],[f4435,f745]) ).
fof(f5845,plain,
( ~ spl6_134
| ~ spl6_5
| spl6_301
| ~ spl6_75
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f5408,f5348,f814,f5843,f275,f1952]) ).
fof(f5408,plain,
( ! [X0] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_286 ),
inference(resolution,[],[f5350,f815]) ).
fof(f5836,plain,
( ~ spl6_5
| ~ spl6_134
| ~ spl6_300
| spl6_167
| ~ spl6_66
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f5405,f5348,f678,f2808,f5833,f1952,f275]) ).
fof(f5405,plain,
( xm = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ spl6_66
| ~ spl6_286 ),
inference(resolution,[],[f5350,f679]) ).
fof(f5831,plain,
( ~ spl6_134
| ~ spl6_5
| spl6_167
| spl6_299
| ~ spl6_64
| ~ spl6_286 ),
inference(avatar_split_clause,[],[f5404,f5348,f668,f5828,f2808,f275,f1952]) ).
fof(f5404,plain,
( iLess0(sdtasdt0(xn,xm),xm)
| xm = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_64
| ~ spl6_286 ),
inference(resolution,[],[f5350,f669]) ).
fof(f5804,plain,
( ~ spl6_5
| ~ spl6_97
| spl6_298
| ~ spl6_75
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f5159,f4433,f814,f5802,f1062,f275]) ).
fof(f5159,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_75
| ~ spl6_281 ),
inference(resolution,[],[f4435,f815]) ).
fof(f5800,plain,
( ~ spl6_5
| ~ spl6_97
| spl6_282
| spl6_297
| ~ spl6_64
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f5155,f4433,f668,f5797,f4539,f1062,f275]) ).
fof(f5155,plain,
( iLess0(xm,sdtasdt0(xp,xk))
| xm = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_281 ),
inference(resolution,[],[f4435,f669]) ).
fof(f5794,plain,
( ~ spl6_5
| ~ spl6_294
| spl6_295
| spl6_296
| ~ spl6_64
| ~ spl6_285 ),
inference(avatar_split_clause,[],[f4748,f4744,f668,f5791,f5787,f5783,f275]) ).
fof(f4748,plain,
( iLess0(xm,sdtasdt0(xm,xk))
| xm = sdtasdt0(xm,xk)
| ~ aNaturalNumber0(sdtasdt0(xm,xk))
| ~ aNaturalNumber0(xm)
| ~ spl6_64
| ~ spl6_285 ),
inference(resolution,[],[f4746,f669]) ).
fof(f5746,plain,
( ~ spl6_293
| ~ spl6_30
| spl6_99 ),
inference(avatar_split_clause,[],[f5648,f1070,f402,f5743]) ).
fof(f5648,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))
| ~ spl6_30
| spl6_99 ),
inference(forward_demodulation,[],[f1071,f404]) ).
fof(f5721,plain,
( spl6_292
| ~ spl6_30
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f5624,f406,f402,f5718]) ).
fof(f5624,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl6_30
| ~ spl6_31 ),
inference(forward_demodulation,[],[f407,f404]) ).
fof(f5716,plain,
( ~ spl6_291
| ~ spl6_30
| spl6_32 ),
inference(avatar_split_clause,[],[f5619,f410,f402,f5713]) ).
fof(f5619,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xk)
| ~ spl6_30
| spl6_32 ),
inference(forward_demodulation,[],[f411,f404]) ).
fof(f5618,plain,
( spl6_167
| ~ spl6_6
| ~ spl6_30
| ~ spl6_146
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f5617,f3122,f2170,f402,f280,f2808]) ).
fof(f5546,plain,
( ~ spl6_289
| ~ spl6_32
| spl6_99 ),
inference(avatar_split_clause,[],[f5453,f1070,f410,f5502]) ).
fof(f5453,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk))
| ~ spl6_32
| spl6_99 ),
inference(forward_demodulation,[],[f1071,f412]) ).
fof(f5520,plain,
( spl6_290
| ~ spl6_23
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f4543,f1062,f365,f5517]) ).
fof(f4543,plain,
( sP1(sdtasdt0(xp,xk))
| ~ spl6_23
| ~ spl6_97 ),
inference(resolution,[],[f1063,f366]) ).
fof(f5505,plain,
( spl6_289
| ~ spl6_32
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f5452,f414,f410,f5502]) ).
fof(f5452,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk))
| ~ spl6_32
| ~ spl6_33 ),
inference(forward_demodulation,[],[f415,f412]) ).
fof(f5500,plain,
( spl6_288
| ~ spl6_31
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f5430,f410,f406,f5497]) ).
fof(f5430,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
| ~ spl6_31
| ~ spl6_32 ),
inference(forward_demodulation,[],[f407,f412]) ).
fof(f5416,plain,
( ~ spl6_149
| ~ spl6_282
| spl6_283 ),
inference(avatar_split_clause,[],[f5415,f4679,f4539,f2252]) ).
fof(f5415,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ spl6_282
| spl6_283 ),
inference(forward_demodulation,[],[f4680,f4540]) ).
fof(f4540,plain,
( xm = sdtasdt0(xp,xk)
| ~ spl6_282 ),
inference(avatar_component_clause,[],[f4539]) ).
fof(f5414,plain,
( ~ spl6_283
| spl6_99
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4707,f2911,f1070,f4679]) ).
fof(f4707,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xm)
| spl6_99
| ~ spl6_175 ),
inference(forward_demodulation,[],[f1071,f2913]) ).
fof(f2913,plain,
( xm = sdtasdt0(xp,xm)
| ~ spl6_175 ),
inference(avatar_component_clause,[],[f2911]) ).
fof(f5387,plain,
( spl6_287
| ~ spl6_23
| ~ spl6_134 ),
inference(avatar_split_clause,[],[f2353,f1952,f365,f5384]) ).
fof(f5384,plain,
( spl6_287
<=> sP1(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f2353,plain,
( sP1(sdtasdt0(xn,xm))
| ~ spl6_23
| ~ spl6_134 ),
inference(resolution,[],[f1953,f366]) ).
fof(f5382,plain,
( spl6_282
| ~ spl6_32
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4431,f2911,f410,f4539]) ).
fof(f4431,plain,
( xm = sdtasdt0(xp,xk)
| ~ spl6_32
| ~ spl6_175 ),
inference(forward_demodulation,[],[f412,f2913]) ).
fof(f5379,plain,
( spl6_167
| ~ spl6_30
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4712,f2911,f402,f2808]) ).
fof(f4712,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl6_30
| ~ spl6_175 ),
inference(forward_demodulation,[],[f404,f2913]) ).
fof(f5365,plain,
( spl6_12
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175
| ~ spl6_189
| ~ spl6_276 ),
inference(avatar_split_clause,[],[f5346,f4384,f3020,f2911,f2166,f1066,f310]) ).
fof(f3020,plain,
( spl6_189
<=> xm = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f5346,plain,
( sdtlseqdt0(xp,xm)
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175
| ~ spl6_189
| ~ spl6_276 ),
inference(forward_demodulation,[],[f4386,f5047]) ).
fof(f5047,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175
| ~ spl6_189 ),
inference(forward_demodulation,[],[f5046,f3022]) ).
fof(f3022,plain,
( xm = sdtasdt0(xm,xn)
| ~ spl6_189 ),
inference(avatar_component_clause,[],[f3020]) ).
fof(f5046,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175 ),
inference(forward_demodulation,[],[f2468,f2913]) ).
fof(f5353,plain,
( spl6_279
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175
| ~ spl6_189
| ~ spl6_278 ),
inference(avatar_split_clause,[],[f5344,f4399,f3020,f2911,f2166,f1066,f4405]) ).
fof(f5344,plain,
( sdtlseqdt0(xr,xm)
| ~ spl6_98
| ~ spl6_145
| ~ spl6_175
| ~ spl6_189
| ~ spl6_278 ),
inference(forward_demodulation,[],[f4401,f5047]) ).
fof(f5351,plain,
( spl6_286
| ~ spl6_31
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f5073,f2911,f406,f5348]) ).
fof(f5073,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xm)
| ~ spl6_31
| ~ spl6_175 ),
inference(forward_demodulation,[],[f407,f2913]) ).
fof(f5177,plain,
( spl6_125
| ~ spl6_167
| ~ spl6_277 ),
inference(avatar_split_clause,[],[f4395,f4388,f2808,f1245]) ).
fof(f4758,plain,
( spl6_17
| ~ spl6_125
| ~ spl6_280 ),
inference(avatar_split_clause,[],[f4728,f4415,f1245,f335]) ).
fof(f4728,plain,
( xm = xp
| ~ spl6_125
| ~ spl6_280 ),
inference(forward_demodulation,[],[f4417,f1247]) ).
fof(f4747,plain,
( spl6_285
| ~ spl6_125
| ~ spl6_280
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f4742,f4433,f4415,f1245,f4744]) ).
fof(f4742,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xk))
| ~ spl6_125
| ~ spl6_280
| ~ spl6_281 ),
inference(forward_demodulation,[],[f4435,f4728]) ).
fof(f4741,plain,
( spl6_281
| ~ spl6_33
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4718,f2911,f414,f4433]) ).
fof(f4718,plain,
( sdtlseqdt0(xm,sdtasdt0(xp,xk))
| ~ spl6_33
| ~ spl6_175 ),
inference(forward_demodulation,[],[f415,f2913]) ).
fof(f4717,plain,
( spl6_284
| ~ spl6_106
| ~ spl6_147
| ~ spl6_281 ),
inference(avatar_split_clause,[],[f4684,f4433,f2174,f1110,f4714]) ).
fof(f4684,plain,
( sdtlseqdt0(xm,sdtasdt0(xk,xp))
| ~ spl6_106
| ~ spl6_147
| ~ spl6_281 ),
inference(forward_demodulation,[],[f4435,f4485]) ).
fof(f4682,plain,
( spl6_283
| ~ spl6_99
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4438,f2911,f1070,f4679]) ).
fof(f4438,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),xm)
| ~ spl6_99
| ~ spl6_175 ),
inference(forward_demodulation,[],[f1072,f2913]) ).
fof(f4542,plain,
( ~ spl6_282
| spl6_32
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4464,f2911,f410,f4539]) ).
fof(f4464,plain,
( xm != sdtasdt0(xp,xk)
| spl6_32
| ~ spl6_175 ),
inference(forward_demodulation,[],[f411,f2913]) ).
fof(f4465,plain,
( ~ spl6_281
| spl6_33
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4457,f2911,f414,f4433]) ).
fof(f4457,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xp,xk))
| spl6_33
| ~ spl6_175 ),
inference(forward_demodulation,[],[f416,f2913]) ).
fof(f4456,plain,
( ~ spl6_149
| ~ spl6_32
| ~ spl6_175
| spl6_281 ),
inference(avatar_split_clause,[],[f4437,f4433,f2911,f410,f2252]) ).
fof(f4437,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ spl6_32
| ~ spl6_175
| spl6_281 ),
inference(forward_demodulation,[],[f4434,f4431]) ).
fof(f4436,plain,
( spl6_281
| ~ spl6_33
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f4430,f2911,f414,f4433]) ).
fof(f4430,plain,
( sdtlseqdt0(xm,sdtasdt0(xp,xk))
| ~ spl6_33
| ~ spl6_175 ),
inference(forward_demodulation,[],[f415,f2913]) ).
fof(f4418,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_280
| ~ spl6_24
| spl6_106
| ~ spl6_34
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f804,f752,f419,f1110,f375,f4415,f1952,f280]) ).
fof(f804,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_34
| ~ spl6_72 ),
inference(superposition,[],[f753,f421]) ).
fof(f4408,plain,
( ~ spl6_279
| ~ spl6_167
| spl6_278 ),
inference(avatar_split_clause,[],[f4403,f4399,f2808,f4405]) ).
fof(f4403,plain,
( ~ sdtlseqdt0(xr,xm)
| ~ spl6_167
| spl6_278 ),
inference(forward_demodulation,[],[f4400,f2810]) ).
fof(f4400,plain,
( ~ sdtlseqdt0(xr,sdtasdt0(xn,xm))
| spl6_278 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f4402,plain,
( ~ spl6_2
| ~ spl6_134
| spl6_278
| spl6_277
| ~ spl6_25
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f710,f672,f380,f4388,f4399,f1952,f260]) ).
fof(f710,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl6_25
| ~ spl6_65 ),
inference(resolution,[],[f673,f382]) ).
fof(f4396,plain,
( spl6_12
| ~ spl6_167
| ~ spl6_276 ),
inference(avatar_split_clause,[],[f4393,f4384,f2808,f310]) ).
fof(f4393,plain,
( sdtlseqdt0(xp,xm)
| ~ spl6_167
| ~ spl6_276 ),
inference(forward_demodulation,[],[f4386,f2810]) ).
fof(f4394,plain,
( ~ spl6_125
| ~ spl6_167
| spl6_277 ),
inference(avatar_split_clause,[],[f4392,f4388,f2808,f1245]) ).
fof(f4392,plain,
( sz00 != xm
| ~ spl6_167
| spl6_277 ),
inference(forward_demodulation,[],[f4389,f2810]) ).
fof(f4391,plain,
( ~ spl6_6
| ~ spl6_134
| spl6_276
| spl6_277
| ~ spl6_24
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f708,f672,f375,f4388,f4384,f1952,f280]) ).
fof(f708,plain,
( sz00 = sdtasdt0(xn,xm)
| sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl6_24
| ~ spl6_65 ),
inference(resolution,[],[f673,f377]) ).
fof(f4382,plain,
( spl6_275
| ~ spl6_125
| ~ spl6_136 ),
inference(avatar_split_clause,[],[f2352,f1961,f1245,f4379]) ).
fof(f2352,plain,
( sz10 = sdtpldt0(xm,sz10)
| ~ spl6_125
| ~ spl6_136 ),
inference(superposition,[],[f1963,f1247]) ).
fof(f4237,plain,
( spl6_274
| ~ spl6_68
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1015,f1003,f686,f4235]) ).
fof(f1003,plain,
( spl6_91
<=> ! [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,[spl6_91])]) ).
fof(f1015,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) )
| ~ spl6_68
| ~ spl6_91 ),
inference(duplicate_literal_removal,[],[f1008]) ).
fof(f1008,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) )
| ~ spl6_68
| ~ spl6_91 ),
inference(resolution,[],[f1004,f687]) ).
fof(f1004,plain,
( ! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) )
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f4233,plain,
( spl6_273
| ~ spl6_8
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f898,f863,f290,f4231]) ).
fof(f898,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_80 ),
inference(resolution,[],[f864,f292]) ).
fof(f4228,plain,
( spl6_272
| ~ spl6_7
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f897,f863,f285,f4226]) ).
fof(f897,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_80 ),
inference(resolution,[],[f864,f287]) ).
fof(f4224,plain,
( spl6_271
| ~ spl6_8
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f884,f859,f290,f4222]) ).
fof(f884,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_79 ),
inference(resolution,[],[f860,f292]) ).
fof(f4219,plain,
( spl6_270
| ~ spl6_7
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f883,f859,f285,f4217]) ).
fof(f883,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_79 ),
inference(resolution,[],[f860,f287]) ).
fof(f4215,plain,
( spl6_269
| ~ spl6_45
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f844,f814,f516,f4213]) ).
fof(f4213,plain,
( spl6_269
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl6_45
| ~ spl6_75 ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ spl6_45
| ~ spl6_75 ),
inference(resolution,[],[f815,f517]) ).
fof(f4172,plain,
( spl6_268
| ~ spl6_125
| ~ spl6_267 ),
inference(avatar_split_clause,[],[f4168,f4165,f1245,f4170]) ).
fof(f4168,plain,
( ! [X0] :
( xm = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_267 ),
inference(forward_demodulation,[],[f4166,f1247]) ).
fof(f4167,plain,
( spl6_267
| ~ spl6_59
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f713,f672,f646,f4165]) ).
fof(f713,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0 )
| ~ spl6_59
| ~ spl6_65 ),
inference(duplicate_literal_removal,[],[f712]) ).
fof(f712,plain,
( ! [X0] :
( sz00 = X0
| sdtlseqdt0(sK3(X0),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_59
| ~ spl6_65 ),
inference(resolution,[],[f673,f647]) ).
fof(f4144,plain,
( spl6_266
| ~ spl6_125
| ~ spl6_265 ),
inference(avatar_split_clause,[],[f4140,f4137,f1245,f4142]) ).
fof(f4140,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_125
| ~ spl6_265 ),
inference(forward_demodulation,[],[f4138,f1247]) ).
fof(f4139,plain,
( spl6_265
| ~ spl6_41
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f583,f538,f449,f4137]) ).
fof(f583,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) )
| ~ spl6_41
| ~ spl6_48 ),
inference(resolution,[],[f539,f450]) ).
fof(f4116,plain,
( spl6_264
| ~ spl6_125
| ~ spl6_263 ),
inference(avatar_split_clause,[],[f4112,f4109,f1245,f4114]) ).
fof(f4112,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_125
| ~ spl6_263 ),
inference(forward_demodulation,[],[f4110,f1247]) ).
fof(f4111,plain,
( spl6_263
| ~ spl6_40
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f582,f538,f445,f4109]) ).
fof(f582,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) )
| ~ spl6_40
| ~ spl6_48 ),
inference(resolution,[],[f539,f446]) ).
fof(f4088,plain,
( spl6_262
| ~ spl6_5
| ~ spl6_67
| ~ spl6_101
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f2262,f1245,f1085,f682,f275,f4085]) ).
fof(f4085,plain,
( spl6_262
<=> doDivides0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f1085,plain,
( spl6_101
<=> sz00 = sdtasdt0(xm,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f2262,plain,
( ~ aNaturalNumber0(xm)
| doDivides0(xm,xm)
| ~ spl6_67
| ~ spl6_101
| ~ spl6_125 ),
inference(duplicate_literal_removal,[],[f2261]) ).
fof(f2261,plain,
( ~ aNaturalNumber0(xm)
| doDivides0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ spl6_67
| ~ spl6_101
| ~ spl6_125 ),
inference(forward_demodulation,[],[f2260,f1247]) ).
fof(f2260,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_67
| ~ spl6_101
| ~ spl6_125 ),
inference(forward_demodulation,[],[f1229,f1247]) ).
fof(f1229,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_67
| ~ spl6_101 ),
inference(duplicate_literal_removal,[],[f1219]) ).
fof(f1219,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ spl6_67
| ~ spl6_101 ),
inference(superposition,[],[f683,f1087]) ).
fof(f1087,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f4083,plain,
( spl6_261
| ~ spl6_125
| ~ spl6_260 ),
inference(avatar_split_clause,[],[f4079,f4075,f1245,f4081]) ).
fof(f4079,plain,
( ! [X0] :
( sK3(X0) = sdtpldt0(xm,sK3(X0))
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_260 ),
inference(forward_demodulation,[],[f4078,f1247]) ).
fof(f4078,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_125
| ~ spl6_260 ),
inference(forward_demodulation,[],[f4076,f1247]) ).
fof(f4077,plain,
( spl6_260
| ~ spl6_39
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f581,f538,f441,f4075]) ).
fof(f581,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) )
| ~ spl6_39
| ~ spl6_48 ),
inference(resolution,[],[f539,f442]) ).
fof(f4054,plain,
( spl6_259
| ~ spl6_125
| ~ spl6_258 ),
inference(avatar_split_clause,[],[f4050,f4046,f1245,f4052]) ).
fof(f4050,plain,
( ! [X0] :
( sK3(X0) = sdtpldt0(sK3(X0),xm)
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_258 ),
inference(forward_demodulation,[],[f4049,f1247]) ).
fof(f4049,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_125
| ~ spl6_258 ),
inference(forward_demodulation,[],[f4047,f1247]) ).
fof(f4048,plain,
( spl6_258
| ~ spl6_37
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f580,f538,f432,f4046]) ).
fof(f580,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) )
| ~ spl6_37
| ~ spl6_48 ),
inference(resolution,[],[f539,f433]) ).
fof(f4040,plain,
( spl6_257
| ~ spl6_125
| ~ spl6_256 ),
inference(avatar_split_clause,[],[f4036,f4033,f1245,f4038]) ).
fof(f4036,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_125
| ~ spl6_256 ),
inference(forward_demodulation,[],[f4034,f1247]) ).
fof(f4035,plain,
( spl6_256
| ~ spl6_41
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f576,f534,f449,f4033]) ).
fof(f576,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) )
| ~ spl6_41
| ~ spl6_47 ),
inference(resolution,[],[f535,f450]) ).
fof(f4027,plain,
( spl6_255
| ~ spl6_125
| ~ spl6_253 ),
inference(avatar_split_clause,[],[f4018,f4015,f1245,f4025]) ).
fof(f4018,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_125
| ~ spl6_253 ),
inference(forward_demodulation,[],[f4016,f1247]) ).
fof(f4023,plain,
( spl6_254
| ~ spl6_116
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1694,f1245,f1160,f4020]) ).
fof(f1160,plain,
( spl6_116
<=> xr = sdtpldt0(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f1694,plain,
( xr = sdtpldt0(xm,xr)
| ~ spl6_116
| ~ spl6_125 ),
inference(superposition,[],[f1162,f1247]) ).
fof(f1162,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f4017,plain,
( spl6_253
| ~ spl6_40
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f575,f534,f445,f4015]) ).
fof(f575,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) )
| ~ spl6_40
| ~ spl6_47 ),
inference(resolution,[],[f535,f446]) ).
fof(f4009,plain,
( spl6_252
| ~ spl6_125
| ~ spl6_251 ),
inference(avatar_split_clause,[],[f4005,f4001,f1245,f4007]) ).
fof(f4005,plain,
( ! [X0] :
( sK2(X0) = sdtpldt0(xm,sK2(X0))
| xm = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4004,f1247]) ).
fof(f4004,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_125
| ~ spl6_251 ),
inference(forward_demodulation,[],[f4002,f1247]) ).
fof(f4003,plain,
( spl6_251
| ~ spl6_39
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f574,f534,f441,f4001]) ).
fof(f574,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) )
| ~ spl6_39
| ~ spl6_47 ),
inference(resolution,[],[f535,f442]) ).
fof(f3995,plain,
( spl6_250
| ~ spl6_125
| ~ spl6_249 ),
inference(avatar_split_clause,[],[f3991,f3987,f1245,f3993]) ).
fof(f3991,plain,
( ! [X0] :
( sK2(X0) = sdtpldt0(sK2(X0),xm)
| xm = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_249 ),
inference(forward_demodulation,[],[f3990,f1247]) ).
fof(f3990,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_125
| ~ spl6_249 ),
inference(forward_demodulation,[],[f3988,f1247]) ).
fof(f3989,plain,
( spl6_249
| ~ spl6_37
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f573,f534,f432,f3987]) ).
fof(f573,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) )
| ~ spl6_37
| ~ spl6_47 ),
inference(resolution,[],[f535,f433]) ).
fof(f3899,plain,
( spl6_248
| ~ spl6_115
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1654,f1245,f1155,f3896]) ).
fof(f1654,plain,
( xp = sdtpldt0(xm,xp)
| ~ spl6_115
| ~ spl6_125 ),
inference(superposition,[],[f1157,f1247]) ).
fof(f3741,plain,
( spl6_247
| ~ spl6_2
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f906,f863,f260,f3739]) ).
fof(f3739,plain,
( spl6_247
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f906,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_80 ),
inference(resolution,[],[f864,f262]) ).
fof(f3737,plain,
( spl6_246
| ~ spl6_6
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f905,f863,f280,f3735]) ).
fof(f3735,plain,
( spl6_246
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f905,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_80 ),
inference(resolution,[],[f864,f282]) ).
fof(f3733,plain,
( spl6_245
| ~ spl6_5
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f904,f863,f275,f3731]) ).
fof(f904,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_80 ),
inference(resolution,[],[f864,f277]) ).
fof(f3729,plain,
( spl6_244
| ~ spl6_4
| ~ spl6_80 ),
inference(avatar_split_clause,[],[f903,f863,f270,f3727]) ).
fof(f3727,plain,
( spl6_244
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f903,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_80 ),
inference(resolution,[],[f864,f272]) ).
fof(f3725,plain,
( spl6_243
| ~ spl6_2
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f892,f859,f260,f3723]) ).
fof(f3723,plain,
( spl6_243
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f892,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_79 ),
inference(resolution,[],[f860,f262]) ).
fof(f3721,plain,
( spl6_242
| ~ spl6_113
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1580,f1245,f1145,f3718]) ).
fof(f1580,plain,
( xn = sdtpldt0(xm,xn)
| ~ spl6_113
| ~ spl6_125 ),
inference(superposition,[],[f1147,f1247]) ).
fof(f3716,plain,
( spl6_241
| ~ spl6_6
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f891,f859,f280,f3714]) ).
fof(f891,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_79 ),
inference(resolution,[],[f860,f282]) ).
fof(f3712,plain,
( spl6_240
| ~ spl6_5
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f890,f859,f275,f3710]) ).
fof(f890,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_79 ),
inference(resolution,[],[f860,f277]) ).
fof(f3708,plain,
( spl6_239
| ~ spl6_4
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f889,f859,f270,f3706]) ).
fof(f889,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_79 ),
inference(resolution,[],[f860,f272]) ).
fof(f3643,plain,
( spl6_238
| ~ spl6_125
| ~ spl6_237 ),
inference(avatar_split_clause,[],[f3639,f3636,f1245,f3641]) ).
fof(f3641,plain,
( spl6_238
<=> ! [X0,X1] :
( xm = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f3639,plain,
( ! [X0,X1] :
( xm = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_125
| ~ spl6_237 ),
inference(forward_demodulation,[],[f3637,f1247]) ).
fof(f3638,plain,
( spl6_237
| ~ spl6_23
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f795,f752,f365,f3636]) ).
fof(f795,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtsldt0(X1,X0)) )
| ~ spl6_23
| ~ spl6_72 ),
inference(resolution,[],[f753,f366]) ).
fof(f3634,plain,
( spl6_236
| ~ spl6_45
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f793,f748,f516,f3632]) ).
fof(f793,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_45
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f780]) ).
fof(f780,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_45
| ~ spl6_71 ),
inference(resolution,[],[f749,f517]) ).
fof(f3630,plain,
( spl6_235
| ~ spl6_45
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f777,f744,f516,f3628]) ).
fof(f777,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_45
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f764]) ).
fof(f764,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_45
| ~ spl6_70 ),
inference(resolution,[],[f745,f517]) ).
fof(f3626,plain,
( spl6_234
| ~ spl6_112
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1538,f1245,f1140,f3623]) ).
fof(f1538,plain,
( xr = sdtpldt0(xr,xm)
| ~ spl6_112
| ~ spl6_125 ),
inference(superposition,[],[f1142,f1247]) ).
fof(f3593,plain,
( spl6_233
| ~ spl6_125
| ~ spl6_232 ),
inference(avatar_split_clause,[],[f3589,f3586,f1245,f3591]) ).
fof(f3589,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_232 ),
inference(forward_demodulation,[],[f3587,f1247]) ).
fof(f3588,plain,
( spl6_232
| ~ spl6_36
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f626,f567,f428,f3586]) ).
fof(f626,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_55 ),
inference(resolution,[],[f568,f429]) ).
fof(f3556,plain,
( spl6_231
| ~ spl6_125
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f3552,f3549,f1245,f3554]) ).
fof(f3552,plain,
( ! [X0,X1] :
( xm = sdtasdt0(sdtmndt0(X1,X0),xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_230 ),
inference(forward_demodulation,[],[f3550,f1247]) ).
fof(f3551,plain,
( spl6_230
| ~ spl6_35
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f625,f567,f424,f3549]) ).
fof(f625,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_55 ),
inference(resolution,[],[f568,f425]) ).
fof(f3519,plain,
( spl6_229
| ~ spl6_125
| ~ spl6_228 ),
inference(avatar_split_clause,[],[f3515,f3512,f1245,f3517]) ).
fof(f3515,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_228 ),
inference(forward_demodulation,[],[f3513,f1247]) ).
fof(f3514,plain,
( spl6_228
| ~ spl6_36
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f617,f563,f428,f3512]) ).
fof(f617,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) )
| ~ spl6_36
| ~ spl6_54 ),
inference(resolution,[],[f564,f429]) ).
fof(f3482,plain,
( spl6_227
| ~ spl6_111
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1496,f1245,f1135,f3479]) ).
fof(f1496,plain,
( xp = sdtpldt0(xp,xm)
| ~ spl6_111
| ~ spl6_125 ),
inference(superposition,[],[f1137,f1247]) ).
fof(f3477,plain,
( spl6_226
| ~ spl6_125
| ~ spl6_225 ),
inference(avatar_split_clause,[],[f3473,f3470,f1245,f3475]) ).
fof(f3473,plain,
( ! [X0,X1] :
( xm = sdtasdt0(sK5(X0,X1),xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_225 ),
inference(forward_demodulation,[],[f3471,f1247]) ).
fof(f3472,plain,
( spl6_225
| ~ spl6_35
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f616,f563,f424,f3470]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) )
| ~ spl6_35
| ~ spl6_54 ),
inference(resolution,[],[f564,f425]) ).
fof(f3452,plain,
( spl6_224
| ~ spl6_125
| ~ spl6_223 ),
inference(avatar_split_clause,[],[f3448,f3445,f1245,f3450]) ).
fof(f3448,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_223 ),
inference(forward_demodulation,[],[f3446,f1247]) ).
fof(f3447,plain,
( spl6_223
| ~ spl6_36
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f608,f559,f428,f3445]) ).
fof(f608,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) )
| ~ spl6_36
| ~ spl6_53 ),
inference(resolution,[],[f560,f429]) ).
fof(f3427,plain,
( spl6_222
| ~ spl6_125
| ~ spl6_221 ),
inference(avatar_split_clause,[],[f3423,f3420,f1245,f3425]) ).
fof(f3423,plain,
( ! [X0,X1] :
( xm = sdtasdt0(sK4(X0,X1),xm)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_221 ),
inference(forward_demodulation,[],[f3421,f1247]) ).
fof(f3422,plain,
( spl6_221
| ~ spl6_35
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f607,f559,f424,f3420]) ).
fof(f607,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) )
| ~ spl6_35
| ~ spl6_53 ),
inference(resolution,[],[f560,f425]) ).
fof(f3399,plain,
( spl6_220
| ~ spl6_125
| ~ spl6_218 ),
inference(avatar_split_clause,[],[f3390,f3386,f1245,f3397]) ).
fof(f3390,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sK3(X0))
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_218 ),
inference(forward_demodulation,[],[f3389,f1247]) ).
fof(f3389,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_125
| ~ spl6_218 ),
inference(forward_demodulation,[],[f3387,f1247]) ).
fof(f3395,plain,
( spl6_219
| ~ spl6_110
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1450,f1245,f1130,f3392]) ).
fof(f1450,plain,
( xm = sdtpldt0(xm,xm)
| ~ spl6_110
| ~ spl6_125 ),
inference(superposition,[],[f1132,f1247]) ).
fof(f3388,plain,
( spl6_218
| ~ spl6_36
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f579,f538,f428,f3386]) ).
fof(f579,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) )
| ~ spl6_36
| ~ spl6_48 ),
inference(resolution,[],[f539,f429]) ).
fof(f3365,plain,
( spl6_217
| ~ spl6_125
| ~ spl6_216 ),
inference(avatar_split_clause,[],[f3361,f3357,f1245,f3363]) ).
fof(f3361,plain,
( ! [X0] :
( xm = sdtasdt0(sK3(X0),xm)
| xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_125
| ~ spl6_216 ),
inference(forward_demodulation,[],[f3360,f1247]) ).
fof(f3360,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_125
| ~ spl6_216 ),
inference(forward_demodulation,[],[f3358,f1247]) ).
fof(f3359,plain,
( spl6_216
| ~ spl6_35
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f578,f538,f424,f3357]) ).
fof(f578,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) )
| ~ spl6_35
| ~ spl6_48 ),
inference(resolution,[],[f539,f425]) ).
fof(f3351,plain,
( spl6_215
| ~ spl6_125
| ~ spl6_214 ),
inference(avatar_split_clause,[],[f3347,f3343,f1245,f3349]) ).
fof(f3347,plain,
( ! [X0] :
( xm = sdtasdt0(xm,sK2(X0))
| xm = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_214 ),
inference(forward_demodulation,[],[f3346,f1247]) ).
fof(f3346,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_125
| ~ spl6_214 ),
inference(forward_demodulation,[],[f3344,f1247]) ).
fof(f3345,plain,
( spl6_214
| ~ spl6_36
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f572,f534,f428,f3343]) ).
fof(f572,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) )
| ~ spl6_36
| ~ spl6_47 ),
inference(resolution,[],[f535,f429]) ).
fof(f3337,plain,
( spl6_213
| ~ spl6_125
| ~ spl6_212 ),
inference(avatar_split_clause,[],[f3333,f3329,f1245,f3335]) ).
fof(f3333,plain,
( ! [X0] :
( xm = sdtasdt0(sK2(X0),xm)
| xm = X0
| sP0(X0)
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_212 ),
inference(forward_demodulation,[],[f3332,f1247]) ).
fof(f3332,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_125
| ~ spl6_212 ),
inference(forward_demodulation,[],[f3330,f1247]) ).
fof(f3331,plain,
( spl6_212
| ~ spl6_35
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f571,f534,f424,f3329]) ).
fof(f571,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) )
| ~ spl6_35
| ~ spl6_47 ),
inference(resolution,[],[f535,f425]) ).
fof(f3327,plain,
( spl6_211
| ~ spl6_109
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1403,f1245,f1125,f3324]) ).
fof(f1125,plain,
( spl6_109
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f1403,plain,
( xn = sdtpldt0(xn,xm)
| ~ spl6_109
| ~ spl6_125 ),
inference(superposition,[],[f1127,f1247]) ).
fof(f1127,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_109 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f3322,plain,
( ~ spl6_207
| ~ spl6_2
| spl6_210
| spl6_160
| ~ spl6_25
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f691,f664,f380,f2694,f3319,f260,f3304]) ).
fof(f691,plain,
( sz10 = xr
| sdtasdt0(xn,xm) = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl6_25
| ~ spl6_63 ),
inference(resolution,[],[f665,f382]) ).
fof(f3315,plain,
( ~ spl6_207
| ~ spl6_6
| spl6_208
| spl6_209
| ~ spl6_24
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f689,f664,f375,f3312,f3308,f280,f3304]) ).
fof(f689,plain,
( sz10 = xp
| xp = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl6_24
| ~ spl6_63 ),
inference(resolution,[],[f665,f377]) ).
fof(f3186,plain,
( spl6_206
| ~ spl6_108
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1377,f1245,f1120,f3183]) ).
fof(f1377,plain,
( xm = sdtasdt0(xm,xr)
| ~ spl6_108
| ~ spl6_125 ),
inference(superposition,[],[f1122,f1247]) ).
fof(f3181,plain,
( spl6_205
| ~ spl6_125
| ~ spl6_204 ),
inference(avatar_split_clause,[],[f3177,f3174,f1245,f3179]) ).
fof(f3177,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) )
| ~ spl6_125
| ~ spl6_204 ),
inference(forward_demodulation,[],[f3175,f1247]) ).
fof(f3176,plain,
( ~ spl6_8
| spl6_204
| ~ spl6_46
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f724,f678,f530,f3174,f290]) ).
fof(f724,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl6_46
| ~ spl6_66 ),
inference(duplicate_literal_removal,[],[f719]) ).
fof(f719,plain,
( ! [X0] :
( sz10 = X0
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46
| ~ spl6_66 ),
inference(resolution,[],[f679,f531]) ).
fof(f3172,plain,
( spl6_203
| ~ spl6_45
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f706,f668,f516,f3170]) ).
fof(f706,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0) )
| ~ spl6_45
| ~ spl6_64 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( ! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl6_45
| ~ spl6_64 ),
inference(resolution,[],[f669,f517]) ).
fof(f3168,plain,
( spl6_202
| ~ spl6_125
| ~ spl6_201 ),
inference(avatar_split_clause,[],[f3164,f3161,f1245,f3166]) ).
fof(f3164,plain,
( ! [X0] :
( xm = X0
| iLess0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0 )
| ~ spl6_125
| ~ spl6_201 ),
inference(forward_demodulation,[],[f3162,f1247]) ).
fof(f3163,plain,
( ~ spl6_8
| spl6_201
| ~ spl6_46
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f703,f668,f530,f3161,f290]) ).
fof(f703,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz00 = X0 )
| ~ spl6_46
| ~ spl6_64 ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
( ! [X0] :
( iLess0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_46
| ~ spl6_64 ),
inference(resolution,[],[f669,f531]) ).
fof(f3159,plain,
( spl6_200
| ~ spl6_41
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f514,f498,f449,f3157]) ).
fof(f514,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl6_41
| ~ spl6_44 ),
inference(resolution,[],[f499,f450]) ).
fof(f3155,plain,
( spl6_199
| ~ spl6_40
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f513,f498,f445,f3153]) ).
fof(f513,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl6_40
| ~ spl6_44 ),
inference(resolution,[],[f499,f446]) ).
fof(f3129,plain,
( spl6_198
| ~ spl6_125
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f3120,f3117,f1245,f3127]) ).
fof(f3120,plain,
( ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(xm,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_196 ),
inference(forward_demodulation,[],[f3118,f1247]) ).
fof(f3125,plain,
( spl6_197
| ~ spl6_107
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1351,f1245,f1115,f3122]) ).
fof(f1351,plain,
( xm = sdtasdt0(xm,xp)
| ~ spl6_107
| ~ spl6_125 ),
inference(superposition,[],[f1117,f1247]) ).
fof(f3119,plain,
( spl6_196
| ~ spl6_39
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f512,f498,f441,f3117]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_44 ),
inference(resolution,[],[f499,f442]) ).
fof(f3093,plain,
( spl6_195
| ~ spl6_125
| ~ spl6_194 ),
inference(avatar_split_clause,[],[f3089,f3086,f1245,f3091]) ).
fof(f3089,plain,
( ! [X0,X1] :
( sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_194 ),
inference(forward_demodulation,[],[f3087,f1247]) ).
fof(f3088,plain,
( spl6_194
| ~ spl6_37
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f511,f498,f432,f3086]) ).
fof(f511,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_37
| ~ spl6_44 ),
inference(resolution,[],[f499,f433]) ).
fof(f3084,plain,
( spl6_193
| ~ spl6_41
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f507,f489,f449,f3082]) ).
fof(f507,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl6_41
| ~ spl6_42 ),
inference(resolution,[],[f490,f450]) ).
fof(f3080,plain,
( spl6_192
| ~ spl6_40
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f506,f489,f445,f3078]) ).
fof(f506,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl6_40
| ~ spl6_42 ),
inference(resolution,[],[f490,f446]) ).
fof(f3054,plain,
( spl6_191
| ~ spl6_125
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f3050,f3047,f1245,f3052]) ).
fof(f3050,plain,
( ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(xm,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_190 ),
inference(forward_demodulation,[],[f3048,f1247]) ).
fof(f3049,plain,
( spl6_190
| ~ spl6_39
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f505,f489,f441,f3047]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_39
| ~ spl6_42 ),
inference(resolution,[],[f490,f442]) ).
fof(f3023,plain,
( spl6_189
| ~ spl6_104
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1308,f1245,f1100,f3020]) ).
fof(f1100,plain,
( spl6_104
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f1308,plain,
( xm = sdtasdt0(xm,xn)
| ~ spl6_104
| ~ spl6_125 ),
inference(superposition,[],[f1102,f1247]) ).
fof(f1102,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f3018,plain,
( spl6_188
| ~ spl6_125
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f3014,f3011,f1245,f3016]) ).
fof(f3014,plain,
( ! [X0,X1] :
( sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_187 ),
inference(forward_demodulation,[],[f3012,f1247]) ).
fof(f3013,plain,
( spl6_187
| ~ spl6_37
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f504,f489,f432,f3011]) ).
fof(f504,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_37
| ~ spl6_42 ),
inference(resolution,[],[f490,f433]) ).
fof(f3001,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_186
| ~ spl6_18
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f837,f814,f340,f2999,f280,f275]) ).
fof(f837,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl6_18
| ~ spl6_75 ),
inference(resolution,[],[f815,f342]) ).
fof(f2989,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_185
| ~ spl6_16
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f836,f814,f330,f2987,f280,f270]) ).
fof(f836,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| ~ spl6_16
| ~ spl6_75 ),
inference(resolution,[],[f815,f332]) ).
fof(f2979,plain,
( spl6_184
| ~ spl6_23
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f624,f567,f365,f2977]) ).
fof(f2977,plain,
( spl6_184
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f624,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sdtmndt0(X1,X0)) )
| ~ spl6_23
| ~ spl6_55 ),
inference(resolution,[],[f568,f366]) ).
fof(f2975,plain,
( spl6_183
| ~ spl6_103
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1282,f1245,f1095,f2972]) ).
fof(f1282,plain,
( xm = sdtasdt0(xr,xm)
| ~ spl6_103
| ~ spl6_125 ),
inference(superposition,[],[f1097,f1247]) ).
fof(f2970,plain,
( spl6_182
| ~ spl6_23
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f615,f563,f365,f2968]) ).
fof(f2968,plain,
( spl6_182
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f615,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK5(X0,X1)) )
| ~ spl6_23
| ~ spl6_54 ),
inference(resolution,[],[f564,f366]) ).
fof(f2966,plain,
( spl6_181
| ~ spl6_23
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f606,f559,f365,f2964]) ).
fof(f2964,plain,
( spl6_181
<=> ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f606,plain,
( ! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sP1(sK4(X0,X1)) )
| ~ spl6_23
| ~ spl6_53 ),
inference(resolution,[],[f560,f366]) ).
fof(f2960,plain,
( spl6_180
| ~ spl6_125
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2956,f2953,f1245,f2958]) ).
fof(f2956,plain,
( ! [X0] :
( xm = X0
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_125
| ~ spl6_179 ),
inference(forward_demodulation,[],[f2954,f1247]) ).
fof(f2955,plain,
( spl6_179
| ~ spl6_23
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f577,f538,f365,f2953]) ).
fof(f577,plain,
( ! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sP1(sK3(X0)) )
| ~ spl6_23
| ~ spl6_48 ),
inference(resolution,[],[f539,f366]) ).
fof(f2949,plain,
( spl6_178
| ~ spl6_125
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2945,f2942,f1245,f2947]) ).
fof(f2945,plain,
( ! [X0] :
( xm = X0
| sP0(X0)
| sz10 = X0
| sP1(sK2(X0)) )
| ~ spl6_125
| ~ spl6_177 ),
inference(forward_demodulation,[],[f2943,f1247]) ).
fof(f2944,plain,
( spl6_177
| ~ spl6_23
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f570,f534,f365,f2942]) ).
fof(f570,plain,
( ! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sP1(sK2(X0)) )
| ~ spl6_23
| ~ spl6_47 ),
inference(resolution,[],[f535,f366]) ).
fof(f2918,plain,
( spl6_176
| ~ spl6_125
| ~ spl6_174 ),
inference(avatar_split_clause,[],[f2909,f2906,f1245,f2916]) ).
fof(f2909,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_174 ),
inference(forward_demodulation,[],[f2907,f1247]) ).
fof(f2914,plain,
( spl6_175
| ~ spl6_102
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1256,f1245,f1090,f2911]) ).
fof(f1256,plain,
( xm = sdtasdt0(xp,xm)
| ~ spl6_102
| ~ spl6_125 ),
inference(superposition,[],[f1092,f1247]) ).
fof(f2908,plain,
( spl6_174
| ~ spl6_36
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f510,f498,f428,f2906]) ).
fof(f510,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_44 ),
inference(resolution,[],[f499,f429]) ).
fof(f2882,plain,
( spl6_173
| ~ spl6_125
| ~ spl6_172 ),
inference(avatar_split_clause,[],[f2878,f2875,f1245,f2880]) ).
fof(f2878,plain,
( ! [X0,X1] :
( xm = sdtasdt0(sdtasdt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_172 ),
inference(forward_demodulation,[],[f2876,f1247]) ).
fof(f2877,plain,
( spl6_172
| ~ spl6_35
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f509,f498,f424,f2875]) ).
fof(f509,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_44 ),
inference(resolution,[],[f499,f425]) ).
fof(f2851,plain,
( spl6_171
| ~ spl6_125
| ~ spl6_170 ),
inference(avatar_split_clause,[],[f2847,f2844,f1245,f2849]) ).
fof(f2847,plain,
( ! [X0,X1] :
( xm = sdtasdt0(xm,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_170 ),
inference(forward_demodulation,[],[f2845,f1247]) ).
fof(f2846,plain,
( spl6_170
| ~ spl6_36
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f503,f489,f428,f2844]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl6_36
| ~ spl6_42 ),
inference(resolution,[],[f490,f429]) ).
fof(f2820,plain,
( spl6_169
| ~ spl6_125
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f2816,f2813,f1245,f2818]) ).
fof(f2816,plain,
( ! [X0,X1] :
( xm = sdtasdt0(sdtpldt0(X1,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl6_125
| ~ spl6_168 ),
inference(forward_demodulation,[],[f2814,f1247]) ).
fof(f2815,plain,
( spl6_168
| ~ spl6_35
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f502,f489,f424,f2813]) ).
fof(f502,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ spl6_35
| ~ spl6_42 ),
inference(resolution,[],[f490,f425]) ).
fof(f2811,plain,
( spl6_167
| ~ spl6_100
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1254,f1245,f1080,f2808]) ).
fof(f1080,plain,
( spl6_100
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f1254,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl6_100
| ~ spl6_125 ),
inference(superposition,[],[f1082,f1247]) ).
fof(f1082,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f2788,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_166
| ~ spl6_18
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f786,f748,f340,f2785,f280,f275]) ).
fof(f786,plain,
( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_18
| ~ spl6_71 ),
inference(resolution,[],[f749,f342]) ).
fof(f2764,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_165
| ~ spl6_16
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f785,f748,f330,f2761,f280,f270]) ).
fof(f2761,plain,
( spl6_165
<=> xp = sdtpldt0(xn,sdtmndt0(xp,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f785,plain,
( xp = sdtpldt0(xn,sdtmndt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_16
| ~ spl6_71 ),
inference(resolution,[],[f749,f332]) ).
fof(f2741,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_164
| ~ spl6_18
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f770,f744,f340,f2738,f280,f275]) ).
fof(f2738,plain,
( spl6_164
<=> xp = sdtpldt0(xm,sK5(xm,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f770,plain,
( xp = sdtpldt0(xm,sK5(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_18
| ~ spl6_70 ),
inference(resolution,[],[f745,f342]) ).
fof(f2717,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_163
| ~ spl6_16
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f769,f744,f330,f2714,f280,f270]) ).
fof(f2714,plain,
( spl6_163
<=> xp = sdtpldt0(xn,sK5(xn,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f769,plain,
( xp = sdtpldt0(xn,sK5(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_16
| ~ spl6_70 ),
inference(resolution,[],[f745,f332]) ).
fof(f2712,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_17
| spl6_162
| ~ spl6_18
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f700,f668,f340,f2709,f335,f280,f275]) ).
fof(f700,plain,
( iLess0(xm,xp)
| xm = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl6_18
| ~ spl6_64 ),
inference(resolution,[],[f669,f342]) ).
fof(f2702,plain,
( ~ spl6_4
| ~ spl6_6
| spl6_15
| spl6_161
| ~ spl6_16
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f699,f668,f330,f2699,f325,f280,f270]) ).
fof(f2699,plain,
( spl6_161
<=> iLess0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f699,plain,
( iLess0(xn,xp)
| xn = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl6_16
| ~ spl6_64 ),
inference(resolution,[],[f669,f332]) ).
fof(f2697,plain,
( ~ spl6_158
| ~ spl6_2
| spl6_159
| spl6_160
| ~ spl6_14
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f690,f664,f320,f2694,f2690,f260,f2686]) ).
fof(f690,plain,
( sz10 = xr
| xk = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(xk)
| ~ spl6_14
| ~ spl6_63 ),
inference(resolution,[],[f665,f322]) ).
fof(f2591,plain,
( spl6_157
| ~ spl6_26
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f794,f748,f385,f2589]) ).
fof(f794,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_71 ),
inference(duplicate_literal_removal,[],[f779]) ).
fof(f779,plain,
( ! [X0] :
( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_71 ),
inference(resolution,[],[f749,f386]) ).
fof(f2587,plain,
( spl6_156
| ~ spl6_26
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f778,f744,f385,f2585]) ).
fof(f778,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_70 ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f763,plain,
( ! [X0] :
( sdtpldt0(X0,sK5(X0,X0)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_26
| ~ spl6_70 ),
inference(resolution,[],[f745,f386]) ).
fof(f2583,plain,
( spl6_155
| ~ spl6_8
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f595,f555,f290,f2581]) ).
fof(f595,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_52 ),
inference(resolution,[],[f556,f292]) ).
fof(f2578,plain,
( spl6_154
| ~ spl6_7
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f594,f555,f285,f2576]) ).
fof(f594,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_52 ),
inference(resolution,[],[f556,f287]) ).
fof(f2574,plain,
( spl6_153
| ~ spl6_8
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f585,f546,f290,f2572]) ).
fof(f585,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_8
| ~ spl6_50 ),
inference(resolution,[],[f547,f292]) ).
fof(f2569,plain,
( spl6_152
| ~ spl6_7
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f584,f546,f285,f2567]) ).
fof(f584,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_7
| ~ spl6_50 ),
inference(resolution,[],[f547,f287]) ).
fof(f2463,plain,
( ~ spl6_151
| spl6_22
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1252,f1245,f360,f2460]) ).
fof(f1252,plain,
( sz10 != xm
| spl6_22
| ~ spl6_125 ),
inference(superposition,[],[f362,f1247]) ).
fof(f362,plain,
( sz00 != sz10
| spl6_22 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f2390,plain,
( spl6_150
| ~ spl6_125
| ~ spl6_127 ),
inference(avatar_split_clause,[],[f1903,f1899,f1245,f2387]) ).
fof(f1903,plain,
( xm = sdtasdt0(xm,xm)
| ~ spl6_125
| ~ spl6_127 ),
inference(forward_demodulation,[],[f1901,f1247]) ).
fof(f2259,plain,
( ~ spl6_5
| ~ spl6_26
| spl6_149 ),
inference(avatar_split_clause,[],[f2256,f2252,f385,f275]) ).
fof(f2256,plain,
( ~ aNaturalNumber0(xm)
| ~ spl6_26
| spl6_149 ),
inference(resolution,[],[f2254,f386]) ).
fof(f2254,plain,
( ~ sdtlseqdt0(xm,xm)
| spl6_149 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2255,plain,
( ~ spl6_149
| spl6_31
| ~ spl6_100
| ~ spl6_102
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f2250,f1245,f1090,f1080,f406,f2252]) ).
fof(f2250,plain,
( ~ sdtlseqdt0(xm,xm)
| spl6_31
| ~ spl6_100
| ~ spl6_102
| ~ spl6_125 ),
inference(forward_demodulation,[],[f2249,f1254]) ).
fof(f2249,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),xm)
| spl6_31
| ~ spl6_102
| ~ spl6_125 ),
inference(forward_demodulation,[],[f408,f1256]) ).
fof(f408,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| spl6_31 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f2229,plain,
( ~ spl6_4
| ~ spl6_5
| ~ spl6_44
| spl6_134 ),
inference(avatar_split_clause,[],[f1959,f1952,f498,f275,f270]) ).
fof(f1959,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl6_44
| spl6_134 ),
inference(resolution,[],[f1954,f499]) ).
fof(f1954,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl6_134 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f2180,plain,
( spl6_148
| ~ spl6_2
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f601,f555,f260,f2178]) ).
fof(f601,plain,
( ! [X0] :
( sdtasdt0(X0,xr) = sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_52 ),
inference(resolution,[],[f556,f262]) ).
fof(f2176,plain,
( spl6_147
| ~ spl6_6
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f600,f555,f280,f2174]) ).
fof(f600,plain,
( ! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_52 ),
inference(resolution,[],[f556,f282]) ).
fof(f2172,plain,
( spl6_146
| ~ spl6_5
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f599,f555,f275,f2170]) ).
fof(f599,plain,
( ! [X0] :
( sdtasdt0(X0,xm) = sdtasdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_52 ),
inference(resolution,[],[f556,f277]) ).
fof(f2168,plain,
( spl6_145
| ~ spl6_4
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f598,f555,f270,f2166]) ).
fof(f598,plain,
( ! [X0] :
( sdtasdt0(X0,xn) = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_52 ),
inference(resolution,[],[f556,f272]) ).
fof(f2164,plain,
( spl6_144
| ~ spl6_2
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f591,f546,f260,f2162]) ).
fof(f591,plain,
( ! [X0] :
( sdtpldt0(X0,xr) = sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_2
| ~ spl6_50 ),
inference(resolution,[],[f547,f262]) ).
fof(f2160,plain,
( spl6_143
| ~ spl6_6
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f590,f546,f280,f2158]) ).
fof(f590,plain,
( ! [X0] :
( sdtpldt0(X0,xp) = sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_6
| ~ spl6_50 ),
inference(resolution,[],[f547,f282]) ).
fof(f2156,plain,
( spl6_142
| ~ spl6_5
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f589,f546,f275,f2154]) ).
fof(f589,plain,
( ! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_5
| ~ spl6_50 ),
inference(resolution,[],[f547,f277]) ).
fof(f2152,plain,
( spl6_141
| ~ spl6_23
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f1231,f1066,f365,f2149]) ).
fof(f2149,plain,
( spl6_141
<=> sP1(sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f1231,plain,
( sP1(sdtasdt0(xp,xm))
| ~ spl6_23
| ~ spl6_98 ),
inference(resolution,[],[f1067,f366]) ).
fof(f2147,plain,
( spl6_140
| ~ spl6_4
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f588,f546,f270,f2145]) ).
fof(f588,plain,
( ! [X0] :
( sdtpldt0(X0,xn) = sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl6_4
| ~ spl6_50 ),
inference(resolution,[],[f547,f272]) ).
fof(f2105,plain,
( spl6_139
| ~ spl6_23
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f508,f498,f365,f2103]) ).
fof(f2103,plain,
( spl6_139
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f508,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtasdt0(X1,X0)) )
| ~ spl6_23
| ~ spl6_44 ),
inference(resolution,[],[f499,f366]) ).
fof(f2101,plain,
( spl6_138
| ~ spl6_23
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f501,f489,f365,f2099]) ).
fof(f2099,plain,
( spl6_138
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f501,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sP1(sdtpldt0(X1,X0)) )
| ~ spl6_23
| ~ spl6_42 ),
inference(resolution,[],[f490,f366]) ).
fof(f1969,plain,
( spl6_137
| ~ spl6_8
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f477,f445,f290,f1966]) ).
fof(f477,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl6_8
| ~ spl6_40 ),
inference(resolution,[],[f446,f292]) ).
fof(f1964,plain,
( spl6_136
| ~ spl6_8
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f471,f441,f290,f1961]) ).
fof(f471,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl6_8
| ~ spl6_39 ),
inference(resolution,[],[f442,f292]) ).
fof(f1958,plain,
( ~ spl6_134
| ~ spl6_98
| spl6_135
| ~ spl6_31
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f1946,f814,f406,f1956,f1066,f1952]) ).
fof(f1946,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl6_31
| ~ spl6_75 ),
inference(resolution,[],[f407,f815]) ).
fof(f1937,plain,
( spl6_133
| ~ spl6_125
| ~ spl6_131 ),
inference(avatar_split_clause,[],[f1927,f1923,f1245,f1934]) ).
fof(f1923,plain,
( spl6_131
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f1927,plain,
( sz10 = sdtpldt0(sz10,xm)
| ~ spl6_125
| ~ spl6_131 ),
inference(forward_demodulation,[],[f1925,f1247]) ).
fof(f1925,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_131 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1932,plain,
( ~ spl6_132
| spl6_19
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1251,f1245,f345,f1929]) ).
fof(f1251,plain,
( xm != xk
| spl6_19
| ~ spl6_125 ),
inference(superposition,[],[f347,f1247]) ).
fof(f347,plain,
( sz00 != xk
| spl6_19 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1926,plain,
( spl6_131
| ~ spl6_8
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f465,f432,f290,f1923]) ).
fof(f465,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl6_8
| ~ spl6_37 ),
inference(resolution,[],[f433,f292]) ).
fof(f1920,plain,
( spl6_130
| ~ spl6_7
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f464,f432,f285,f1917]) ).
fof(f464,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl6_7
| ~ spl6_37 ),
inference(resolution,[],[f433,f287]) ).
fof(f1914,plain,
( spl6_129
| ~ spl6_8
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f459,f428,f290,f1911]) ).
fof(f1911,plain,
( spl6_129
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f459,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl6_8
| ~ spl6_36 ),
inference(resolution,[],[f429,f292]) ).
fof(f1908,plain,
( spl6_128
| ~ spl6_8
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f453,f424,f290,f1905]) ).
fof(f1905,plain,
( spl6_128
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f453,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl6_8
| ~ spl6_35 ),
inference(resolution,[],[f425,f292]) ).
fof(f1902,plain,
( spl6_127
| ~ spl6_7
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f452,f424,f285,f1899]) ).
fof(f452,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl6_7
| ~ spl6_35 ),
inference(resolution,[],[f425,f287]) ).
fof(f1449,plain,
( ~ spl6_126
| spl6_10
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1250,f1245,f300,f1446]) ).
fof(f1250,plain,
( ~ sP0(xm)
| spl6_10
| ~ spl6_125 ),
inference(superposition,[],[f302,f1247]) ).
fof(f1248,plain,
( ~ spl6_5
| ~ spl6_4
| ~ spl6_6
| spl6_125
| spl6_15
| ~ spl6_16
| spl6_31
| ~ spl6_93 ),
inference(avatar_split_clause,[],[f1030,f1021,f406,f330,f325,f1245,f280,f270,f275]) ).
fof(f1030,plain,
( ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl6_31
| ~ spl6_93 ),
inference(resolution,[],[f1022,f408]) ).
fof(f1230,plain,
( ~ spl6_6
| ~ spl6_5
| ~ spl6_44
| spl6_98 ),
inference(avatar_split_clause,[],[f1075,f1066,f498,f275,f280]) ).
fof(f1075,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl6_44
| spl6_98 ),
inference(resolution,[],[f1068,f499]) ).
fof(f1068,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl6_98 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1203,plain,
( spl6_124
| ~ spl6_2
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f487,f449,f260,f1200]) ).
fof(f487,plain,
( xr = sdtasdt0(sz10,xr)
| ~ spl6_2
| ~ spl6_41 ),
inference(resolution,[],[f450,f262]) ).
fof(f1198,plain,
( spl6_123
| ~ spl6_6
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f486,f449,f280,f1195]) ).
fof(f486,plain,
( xp = sdtasdt0(sz10,xp)
| ~ spl6_6
| ~ spl6_41 ),
inference(resolution,[],[f450,f282]) ).
fof(f1193,plain,
( spl6_122
| ~ spl6_5
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f485,f449,f275,f1190]) ).
fof(f485,plain,
( xm = sdtasdt0(sz10,xm)
| ~ spl6_5
| ~ spl6_41 ),
inference(resolution,[],[f450,f277]) ).
fof(f1188,plain,
( spl6_121
| ~ spl6_4
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f484,f449,f270,f1185]) ).
fof(f484,plain,
( xn = sdtasdt0(sz10,xn)
| ~ spl6_4
| ~ spl6_41 ),
inference(resolution,[],[f450,f272]) ).
fof(f1183,plain,
( spl6_120
| ~ spl6_2
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f481,f445,f260,f1180]) ).
fof(f481,plain,
( xr = sdtasdt0(xr,sz10)
| ~ spl6_2
| ~ spl6_40 ),
inference(resolution,[],[f446,f262]) ).
fof(f1178,plain,
( spl6_119
| ~ spl6_6
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f480,f445,f280,f1175]) ).
fof(f480,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl6_6
| ~ spl6_40 ),
inference(resolution,[],[f446,f282]) ).
fof(f1173,plain,
( spl6_118
| ~ spl6_5
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f479,f445,f275,f1170]) ).
fof(f1170,plain,
( spl6_118
<=> xm = sdtasdt0(xm,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f479,plain,
( xm = sdtasdt0(xm,sz10)
| ~ spl6_5
| ~ spl6_40 ),
inference(resolution,[],[f446,f277]) ).
fof(f1168,plain,
( spl6_117
| ~ spl6_4
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f478,f445,f270,f1165]) ).
fof(f1165,plain,
( spl6_117
<=> xn = sdtasdt0(xn,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f478,plain,
( xn = sdtasdt0(xn,sz10)
| ~ spl6_4
| ~ spl6_40 ),
inference(resolution,[],[f446,f272]) ).
fof(f1163,plain,
( spl6_116
| ~ spl6_2
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f475,f441,f260,f1160]) ).
fof(f475,plain,
( xr = sdtpldt0(sz00,xr)
| ~ spl6_2
| ~ spl6_39 ),
inference(resolution,[],[f442,f262]) ).
fof(f1158,plain,
( spl6_115
| ~ spl6_6
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f474,f441,f280,f1155]) ).
fof(f474,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl6_6
| ~ spl6_39 ),
inference(resolution,[],[f442,f282]) ).
fof(f1153,plain,
( spl6_114
| ~ spl6_5
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f473,f441,f275,f1150]) ).
fof(f473,plain,
( xm = sdtpldt0(sz00,xm)
| ~ spl6_5
| ~ spl6_39 ),
inference(resolution,[],[f442,f277]) ).
fof(f1148,plain,
( spl6_113
| ~ spl6_4
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f472,f441,f270,f1145]) ).
fof(f472,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl6_4
| ~ spl6_39 ),
inference(resolution,[],[f442,f272]) ).
fof(f1143,plain,
( spl6_112
| ~ spl6_2
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f469,f432,f260,f1140]) ).
fof(f469,plain,
( xr = sdtpldt0(xr,sz00)
| ~ spl6_2
| ~ spl6_37 ),
inference(resolution,[],[f433,f262]) ).
fof(f1138,plain,
( spl6_111
| ~ spl6_6
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f468,f432,f280,f1135]) ).
fof(f468,plain,
( xp = sdtpldt0(xp,sz00)
| ~ spl6_6
| ~ spl6_37 ),
inference(resolution,[],[f433,f282]) ).
fof(f1133,plain,
( spl6_110
| ~ spl6_5
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f467,f432,f275,f1130]) ).
fof(f467,plain,
( xm = sdtpldt0(xm,sz00)
| ~ spl6_5
| ~ spl6_37 ),
inference(resolution,[],[f433,f277]) ).
fof(f1128,plain,
( spl6_109
| ~ spl6_4
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f466,f432,f270,f1125]) ).
fof(f466,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl6_4
| ~ spl6_37 ),
inference(resolution,[],[f433,f272]) ).
fof(f1123,plain,
( spl6_108
| ~ spl6_2
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f463,f428,f260,f1120]) ).
fof(f463,plain,
( sz00 = sdtasdt0(sz00,xr)
| ~ spl6_2
| ~ spl6_36 ),
inference(resolution,[],[f429,f262]) ).
fof(f1118,plain,
( spl6_107
| ~ spl6_6
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f462,f428,f280,f1115]) ).
fof(f462,plain,
( sz00 = sdtasdt0(sz00,xp)
| ~ spl6_6
| ~ spl6_36 ),
inference(resolution,[],[f429,f282]) ).
fof(f1113,plain,
( ~ spl6_6
| ~ spl6_106
| ~ spl6_44
| spl6_97 ),
inference(avatar_split_clause,[],[f1074,f1062,f498,f1110,f280]) ).
fof(f1074,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_44
| spl6_97 ),
inference(resolution,[],[f1064,f499]) ).
fof(f1064,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xk))
| spl6_97 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1108,plain,
( spl6_105
| ~ spl6_5
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f461,f428,f275,f1105]) ).
fof(f461,plain,
( sz00 = sdtasdt0(sz00,xm)
| ~ spl6_5
| ~ spl6_36 ),
inference(resolution,[],[f429,f277]) ).
fof(f1103,plain,
( spl6_104
| ~ spl6_4
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f460,f428,f270,f1100]) ).
fof(f460,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl6_4
| ~ spl6_36 ),
inference(resolution,[],[f429,f272]) ).
fof(f1098,plain,
( spl6_103
| ~ spl6_2
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f457,f424,f260,f1095]) ).
fof(f457,plain,
( sz00 = sdtasdt0(xr,sz00)
| ~ spl6_2
| ~ spl6_35 ),
inference(resolution,[],[f425,f262]) ).
fof(f1093,plain,
( spl6_102
| ~ spl6_6
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f456,f424,f280,f1090]) ).
fof(f456,plain,
( sz00 = sdtasdt0(xp,sz00)
| ~ spl6_6
| ~ spl6_35 ),
inference(resolution,[],[f425,f282]) ).
fof(f1088,plain,
( spl6_101
| ~ spl6_5
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f455,f424,f275,f1085]) ).
fof(f455,plain,
( sz00 = sdtasdt0(xm,sz00)
| ~ spl6_5
| ~ spl6_35 ),
inference(resolution,[],[f425,f277]) ).
fof(f1083,plain,
( spl6_100
| ~ spl6_4
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f454,f424,f270,f1080]) ).
fof(f454,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl6_4
| ~ spl6_35 ),
inference(resolution,[],[f425,f272]) ).
fof(f1073,plain,
( ~ spl6_97
| ~ spl6_98
| spl6_99
| spl6_33
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f522,f516,f414,f1070,f1066,f1062]) ).
fof(f522,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| spl6_33
| ~ spl6_45 ),
inference(resolution,[],[f517,f416]) ).
fof(f1060,plain,
spl6_96,
inference(avatar_split_clause,[],[f169,f1058]) ).
fof(f1058,plain,
( spl6_96
<=> ! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f169,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f1043,plain,
spl6_95,
inference(avatar_split_clause,[],[f248,f1041]) ).
fof(f248,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f1039,plain,
spl6_94,
inference(avatar_split_clause,[],[f215,f1037]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f1023,plain,
spl6_93,
inference(avatar_split_clause,[],[f234,f1021]) ).
fof(f234,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f1019,plain,
spl6_92,
inference(avatar_split_clause,[],[f232,f1017]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f1005,plain,
spl6_91,
inference(avatar_split_clause,[],[f245,f1003]) ).
fof(f245,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,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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,[],[f134]) ).
fof(f134,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,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f959,plain,
spl6_90,
inference(avatar_split_clause,[],[f230,f957]) ).
fof(f230,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,[],[f110]) ).
fof(f110,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,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f955,plain,
spl6_89,
inference(avatar_split_clause,[],[f229,f953]) ).
fof(f229,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,[],[f110]) ).
fof(f951,plain,
spl6_88,
inference(avatar_split_clause,[],[f214,f949]) ).
fof(f214,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f945,plain,
spl6_87,
inference(avatar_split_clause,[],[f212,f943]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f941,plain,
spl6_86,
inference(avatar_split_clause,[],[f183,f939]) ).
fof(f183,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f937,plain,
spl6_85,
inference(avatar_split_clause,[],[f182,f935]) ).
fof(f182,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f882,plain,
spl6_84,
inference(avatar_split_clause,[],[f249,f880]) ).
fof(f249,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f878,plain,
spl6_83,
inference(avatar_split_clause,[],[f237,f876]) ).
fof(f237,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f874,plain,
( spl6_82
| ~ spl6_8
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f369,f365,f290,f871]) ).
fof(f871,plain,
( spl6_82
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f369,plain,
( sP1(sz10)
| ~ spl6_8
| ~ spl6_23 ),
inference(resolution,[],[f366,f292]) ).
fof(f869,plain,
spl6_81,
inference(avatar_split_clause,[],[f236,f867]) ).
fof(f236,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f865,plain,
spl6_80,
inference(avatar_split_clause,[],[f228,f863]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f861,plain,
spl6_79,
inference(avatar_split_clause,[],[f227,f859]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f853,plain,
spl6_78,
inference(avatar_split_clause,[],[f240,f851]) ).
fof(f851,plain,
( spl6_78
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f240,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,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,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f849,plain,
spl6_77,
inference(avatar_split_clause,[],[f239,f847]) ).
fof(f847,plain,
( spl6_77
<=> ! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f239,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f821,plain,
( spl6_76
| ~ spl6_7
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f368,f365,f285,f818]) ).
fof(f818,plain,
( spl6_76
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f368,plain,
( sP1(sz00)
| ~ spl6_7
| ~ spl6_23 ),
inference(resolution,[],[f366,f287]) ).
fof(f816,plain,
spl6_75,
inference(avatar_split_clause,[],[f238,f814]) ).
fof(f238,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f812,plain,
spl6_74,
inference(avatar_split_clause,[],[f235,f810]) ).
fof(f235,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f808,plain,
spl6_73,
inference(avatar_split_clause,[],[f209,f806]) ).
fof(f806,plain,
( spl6_73
<=> ! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f209,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f754,plain,
spl6_72,
inference(avatar_split_clause,[],[f250,f752]) ).
fof(f250,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f750,plain,
spl6_71,
inference(avatar_split_clause,[],[f246,f748]) ).
fof(f246,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f746,plain,
spl6_70,
inference(avatar_split_clause,[],[f225,f744]) ).
fof(f225,plain,
! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f143,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,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,[],[f142]) ).
fof(f142,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,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f740,plain,
spl6_69,
inference(avatar_split_clause,[],[f222,f738]) ).
fof(f222,plain,
! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f688,plain,
spl6_68,
inference(avatar_split_clause,[],[f252,f686]) ).
fof(f252,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f684,plain,
spl6_67,
inference(avatar_split_clause,[],[f251,f682]) ).
fof(f251,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f680,plain,
spl6_66,
inference(avatar_split_clause,[],[f220,f678]) ).
fof(f220,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f674,plain,
spl6_65,
inference(avatar_split_clause,[],[f219,f672]) ).
fof(f219,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f670,plain,
spl6_64,
inference(avatar_split_clause,[],[f210,f668]) ).
fof(f210,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f666,plain,
spl6_63,
inference(avatar_split_clause,[],[f188,f664]) ).
fof(f188,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f660,plain,
spl6_62,
inference(avatar_split_clause,[],[f208,f658]) ).
fof(f208,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f656,plain,
spl6_61,
inference(avatar_split_clause,[],[f207,f654]) ).
fof(f207,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f652,plain,
spl6_60,
inference(avatar_split_clause,[],[f203,f650]) ).
fof(f203,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f648,plain,
spl6_59,
inference(avatar_split_clause,[],[f195,f646]) ).
fof(f195,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f70,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f644,plain,
spl6_58,
inference(avatar_split_clause,[],[f192,f642]) ).
fof(f642,plain,
( spl6_58
<=> ! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f192,plain,
! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f640,plain,
spl6_57,
inference(avatar_split_clause,[],[f191,f638]) ).
fof(f638,plain,
( spl6_57
<=> ! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f191,plain,
! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f636,plain,
spl6_56,
inference(avatar_split_clause,[],[f190,f634]) ).
fof(f190,plain,
! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f569,plain,
spl6_55,
inference(avatar_split_clause,[],[f247,f567]) ).
fof(f247,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f565,plain,
spl6_54,
inference(avatar_split_clause,[],[f224,f563]) ).
fof(f224,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f561,plain,
spl6_53,
inference(avatar_split_clause,[],[f221,f559]) ).
fof(f221,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f557,plain,
spl6_52,
inference(avatar_split_clause,[],[f200,f555]) ).
fof(f200,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f553,plain,
( spl6_51
| ~ spl6_2
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f373,f365,f260,f550]) ).
fof(f550,plain,
( spl6_51
<=> sP1(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f373,plain,
( sP1(xr)
| ~ spl6_2
| ~ spl6_23 ),
inference(resolution,[],[f366,f262]) ).
fof(f548,plain,
spl6_50,
inference(avatar_split_clause,[],[f199,f546]) ).
fof(f199,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f544,plain,
spl6_49,
inference(avatar_split_clause,[],[f196,f542]) ).
fof(f542,plain,
( spl6_49
<=> ! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f196,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f540,plain,
spl6_48,
inference(avatar_split_clause,[],[f194,f538]) ).
fof(f194,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f536,plain,
spl6_47,
inference(avatar_split_clause,[],[f189,f534]) ).
fof(f189,plain,
! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f532,plain,
spl6_46,
inference(avatar_split_clause,[],[f181,f530]) ).
fof(f181,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f518,plain,
spl6_45,
inference(avatar_split_clause,[],[f202,f516]) ).
fof(f202,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f500,plain,
spl6_44,
inference(avatar_split_clause,[],[f198,f498]) ).
fof(f198,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f496,plain,
( spl6_43
| ~ spl6_6
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f372,f365,f280,f493]) ).
fof(f493,plain,
( spl6_43
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f372,plain,
( sP1(xp)
| ~ spl6_6
| ~ spl6_23 ),
inference(resolution,[],[f366,f282]) ).
fof(f491,plain,
spl6_42,
inference(avatar_split_clause,[],[f197,f489]) ).
fof(f197,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f451,plain,
spl6_41,
inference(avatar_split_clause,[],[f179,f449]) ).
fof(f179,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f447,plain,
spl6_40,
inference(avatar_split_clause,[],[f178,f445]) ).
fof(f178,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f443,plain,
spl6_39,
inference(avatar_split_clause,[],[f177,f441]) ).
fof(f177,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f439,plain,
( spl6_38
| ~ spl6_5
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f371,f365,f275,f436]) ).
fof(f436,plain,
( spl6_38
<=> sP1(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f371,plain,
( sP1(xm)
| ~ spl6_5
| ~ spl6_23 ),
inference(resolution,[],[f366,f277]) ).
fof(f434,plain,
spl6_37,
inference(avatar_split_clause,[],[f176,f432]) ).
fof(f176,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f430,plain,
spl6_36,
inference(avatar_split_clause,[],[f175,f428]) ).
fof(f175,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f426,plain,
spl6_35,
inference(avatar_split_clause,[],[f174,f424]) ).
fof(f174,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f422,plain,
spl6_34,
inference(avatar_split_clause,[],[f150,f419]) ).
fof(f150,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f417,plain,
( spl6_30
| ~ spl6_31
| spl6_32
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f146,f414,f410,f406,f402]) ).
fof(f146,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f400,plain,
( spl6_29
| ~ spl6_4
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f370,f365,f270,f397]) ).
fof(f397,plain,
( spl6_29
<=> sP1(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f370,plain,
( sP1(xn)
| ~ spl6_4
| ~ spl6_23 ),
inference(resolution,[],[f366,f272]) ).
fof(f395,plain,
spl6_28,
inference(avatar_split_clause,[],[f185,f393]) ).
fof(f185,plain,
! [X0] :
( isPrime0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f391,plain,
spl6_27,
inference(avatar_split_clause,[],[f184,f389]) ).
fof(f184,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f387,plain,
spl6_26,
inference(avatar_split_clause,[],[f173,f385]) ).
fof(f173,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f383,plain,
spl6_25,
inference(avatar_split_clause,[],[f166,f380]) ).
fof(f166,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f378,plain,
spl6_24,
inference(avatar_split_clause,[],[f152,f375]) ).
fof(f152,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f367,plain,
spl6_23,
inference(avatar_split_clause,[],[f193,f365]) ).
fof(f193,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f68,f124,f123]) ).
fof(f68,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f363,plain,
~ spl6_22,
inference(avatar_split_clause,[],[f172,f360]) ).
fof(f172,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f358,plain,
spl6_21,
inference(avatar_split_clause,[],[f165,f355]) ).
fof(f165,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f353,plain,
~ spl6_20,
inference(avatar_split_clause,[],[f164,f350]) ).
fof(f350,plain,
( spl6_20
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f164,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f348,plain,
~ spl6_19,
inference(avatar_split_clause,[],[f163,f345]) ).
fof(f163,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f343,plain,
spl6_18,
inference(avatar_split_clause,[],[f162,f340]) ).
fof(f162,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f338,plain,
~ spl6_17,
inference(avatar_split_clause,[],[f161,f335]) ).
fof(f161,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f333,plain,
spl6_16,
inference(avatar_split_clause,[],[f160,f330]) ).
fof(f160,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f328,plain,
~ spl6_15,
inference(avatar_split_clause,[],[f159,f325]) ).
fof(f159,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f323,plain,
spl6_14,
inference(avatar_split_clause,[],[f154,f320]) ).
fof(f154,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f318,plain,
spl6_13,
inference(avatar_split_clause,[],[f149,f315]) ).
fof(f149,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2389) ).
fof(f313,plain,
~ spl6_12,
inference(avatar_split_clause,[],[f148,f310]) ).
fof(f148,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f308,plain,
~ spl6_11,
inference(avatar_split_clause,[],[f147,f305]) ).
fof(f147,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f303,plain,
~ spl6_10,
inference(avatar_split_clause,[],[f243,f300]) ).
fof(f243,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f298,plain,
~ spl6_9,
inference(avatar_split_clause,[],[f242,f295]) ).
fof(f242,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f293,plain,
spl6_8,
inference(avatar_split_clause,[],[f171,f290]) ).
fof(f171,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f288,plain,
spl6_7,
inference(avatar_split_clause,[],[f170,f285]) ).
fof(f170,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f283,plain,
spl6_6,
inference(avatar_split_clause,[],[f158,f280]) ).
fof(f158,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f278,plain,
spl6_5,
inference(avatar_split_clause,[],[f157,f275]) ).
fof(f157,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f273,plain,
spl6_4,
inference(avatar_split_clause,[],[f156,f270]) ).
fof(f156,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f268,plain,
spl6_3,
inference(avatar_split_clause,[],[f155,f265]) ).
fof(f155,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f263,plain,
spl6_2,
inference(avatar_split_clause,[],[f153,f260]) ).
fof(f153,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f258,plain,
spl6_1,
inference(avatar_split_clause,[],[f151,f255]) ).
fof(f151,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM503+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:43:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (30751)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (30759)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)
% 0.13/0.37 % (30756)WARNING: value z3 for option sas not known
% 0.13/0.38 % (30754)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (30755)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (30757)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (30756)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)
% 0.13/0.38 % (30758)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)
% 0.13/0.38 % (30760)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)
% 0.13/0.38 Detected minimum model sizes of [3]
% 0.13/0.38 Detected minimum model sizes of [3]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.47 TRYING [5]
% 0.21/0.48 TRYING [5]
% 1.82/0.62 TRYING [6]
% 2.03/0.66 TRYING [6]
% 5.05/1.17 TRYING [7]
% 6.07/1.23 TRYING [7]
% 7.82/1.48 Detected minimum model sizes of [3]
% 7.82/1.48 Detected maximum model sizes of [max]
% 7.82/1.48 TRYING [3]
% 7.82/1.49 TRYING [4]
% 8.41/1.55 TRYING [5]
% 9.93/1.77 TRYING [6]
% 14.36/2.42 TRYING [7]
% 15.10/2.51 TRYING [8]
% 15.58/2.61 TRYING [8]
% 24.13/3.87 TRYING [8]
% 33.69/5.17 % (30758)First to succeed.
% 34.28/5.25 % (30758)Refutation found. Thanks to Tanya!
% 34.28/5.25 % SZS status Theorem for theBenchmark
% 34.28/5.25 % SZS output start Proof for theBenchmark
% See solution above
% 34.28/5.29 % (30758)------------------------------
% 34.28/5.29 % (30758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 34.28/5.29 % (30758)Termination reason: Refutation
% 34.28/5.29
% 34.28/5.29 % (30758)Memory used [KB]: 36503
% 34.28/5.29 % (30758)Time elapsed: 4.864 s
% 34.28/5.29 % (30758)Instructions burned: 10257 (million)
% 34.28/5.29 % (30758)------------------------------
% 34.28/5.29 % (30758)------------------------------
% 34.28/5.29 % (30751)Success in time 4.899 s
%------------------------------------------------------------------------------