TSTP Solution File: RNG076+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG076+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 : n019.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 14:51:22 EDT 2024
% Result : Theorem 10.87s 1.92s
% Output : Refutation 10.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1162
% Syntax : Number of formulae : 4325 ( 136 unt; 0 def)
% Number of atoms : 15443 (2961 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 20910 (9792 ~;9823 |; 138 &)
% (1109 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1114 (1112 usr;1105 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 2452 (2444 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31820,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f318,f323,f328,f333,f337,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f421,f425,f429,f433,f437,f441,f448,f453,f458,f463,f467,f471,f479,f484,f489,f497,f502,f506,f511,f515,f519,f523,f527,f531,f535,f544,f548,f552,f556,f560,f564,f568,f572,f577,f600,f604,f611,f616,f620,f632,f636,f643,f648,f652,f656,f660,f664,f671,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f720,f759,f821,f852,f856,f860,f864,f899,f903,f907,f946,f950,f995,f999,f1015,f1022,f1027,f1058,f1066,f1087,f1163,f1178,f1183,f1193,f1202,f1207,f1214,f1221,f1228,f1234,f1238,f1250,f1263,f1272,f1273,f1282,f1299,f1304,f1308,f1312,f1348,f1352,f1356,f1360,f1364,f1369,f1373,f1377,f1381,f1385,f1389,f1393,f1397,f1401,f1405,f1409,f1414,f1418,f1422,f1426,f1430,f1434,f1438,f1442,f1446,f1450,f1474,f1669,f1873,f1935,f1939,f1943,f2014,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f2042,f2043,f2044,f2256,f2398,f2552,f2749,f2952,f3016,f3081,f3085,f3089,f3093,f3097,f3102,f3106,f3110,f3114,f3118,f3122,f3126,f3130,f3134,f3138,f3142,f3147,f3151,f3155,f3159,f3163,f3167,f3171,f3175,f3179,f3183,f3187,f3192,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3228,f3232,f3237,f3241,f3482,f3755,f4014,f4199,f4204,f4209,f4214,f4218,f4284,f4306,f4307,f4432,f4442,f4449,f4453,f4582,f4593,f4600,f4607,f4612,f4618,f4622,f4626,f4630,f4688,f4693,f4697,f4701,f4705,f4709,f4713,f4717,f4721,f4725,f4729,f4740,f4744,f4748,f4752,f4756,f4760,f4764,f4768,f4772,f4776,f4787,f4791,f4795,f4799,f4803,f4950,f5249,f5508,f5513,f5517,f5521,f5525,f5529,f5533,f5689,f5730,f5739,f5743,f5747,f5751,f5755,f5759,f5763,f5772,f5776,f5780,f5784,f5788,f5792,f5796,f5800,f5804,f5808,f5817,f5821,f5825,f5829,f5833,f5837,f5841,f6517,f6555,f6559,f6563,f6567,f6571,f6575,f6579,f6583,f6753,f6763,f6764,f6774,f6786,f6798,f6806,f6814,f7047,f7051,f7055,f7059,f7063,f7067,f7071,f7075,f7079,f7083,f7249,f7516,f7521,f7538,f7558,f7815,f7848,f7857,f7879,f7901,f7906,f7926,f7946,f7966,f7986,f7998,f8003,f8031,f8035,f8039,f8043,f8047,f8051,f8164,f8168,f8172,f8176,f8255,f8263,f8284,f8315,f8328,f8333,f8337,f8341,f8396,f8411,f8430,f8435,f8439,f8446,f8450,f8454,f8458,f8462,f8466,f8470,f8475,f8479,f8483,f8487,f8491,f8495,f8672,f8918,f8967,f8987,f9028,f9044,f9090,f9094,f9098,f9120,f9234,f9246,f9251,f9256,f9283,f9288,f9293,f9298,f9303,f9308,f9313,f9318,f9323,f9328,f9355,f9360,f9365,f9370,f9375,f9380,f9385,f9390,f9395,f9400,f9405,f9410,f9415,f9421,f9427,f9432,f9437,f9442,f9447,f9452,f9457,f9462,f9467,f9472,f9477,f9482,f9487,f9492,f9497,f9502,f9507,f9512,f9517,f9522,f9527,f9532,f9537,f9542,f9547,f9552,f9557,f9563,f9579,f9684,f9861,f10286,f10292,f10321,f10323,f10604,f10610,f10637,f10643,f10654,f10673,f10678,f10683,f10688,f10693,f10698,f10703,f10708,f10713,f10718,f10738,f10743,f10748,f10753,f10758,f10763,f10768,f10773,f10778,f10783,f10790,f10795,f10800,f10805,f10810,f10815,f10820,f10825,f10830,f10835,f10840,f10845,f10850,f10855,f10860,f10865,f10870,f10875,f10879,f10883,f10888,f10893,f10898,f10903,f10908,f10913,f10918,f10923,f10928,f10933,f10938,f10943,f10948,f10953,f10958,f10963,f10968,f10973,f10978,f10983,f10988,f10993,f10998,f11003,f11008,f11013,f11018,f11023,f11028,f11033,f11038,f11043,f11048,f11053,f11058,f11063,f11068,f11073,f11078,f11083,f11087,f11091,f11164,f12507,f12664,f12668,f12672,f12676,f12680,f12685,f12689,f12693,f12697,f12701,f12705,f12709,f12713,f12717,f12721,f12725,f12730,f12734,f12738,f12742,f12949,f13375,f13447,f13778,f13788,f13914,f13915,f14362,f14370,f14728,f14740,f14793,f14822,f14833,f14837,f14841,f14845,f14849,f14877,f14881,f14885,f14889,f14893,f14897,f14901,f14905,f14909,f14913,f14918,f14922,f14926,f14930,f14934,f14938,f14942,f14946,f14950,f14954,f14958,f14963,f14967,f14971,f14975,f14979,f14983,f14987,f14991,f14995,f14999,f15003,f15008,f15012,f15016,f15020,f15024,f15028,f15032,f15036,f15040,f15044,f15048,f15053,f15057,f15061,f15065,f15069,f15073,f15077,f15081,f15193,f15558,f15923,f16279,f16634,f17083,f17088,f17092,f17096,f17100,f17104,f17108,f17112,f17116,f17120,f17124,f17128,f17133,f17137,f17141,f17145,f17149,f17153,f17157,f17161,f17165,f17169,f17173,f17178,f17182,f17186,f17190,f17194,f17198,f17202,f17206,f17210,f17214,f17218,f17223,f17227,f17231,f17235,f17239,f17243,f17247,f17251,f17255,f17259,f17263,f17268,f17272,f17276,f17280,f17284,f17288,f17292,f17296,f17300,f17304,f17308,f17313,f17317,f17321,f17325,f17329,f17333,f17337,f17341,f17345,f17349,f17354,f17359,f17364,f17369,f17374,f17379,f17384,f17389,f17394,f17399,f17404,f17409,f17414,f17419,f17424,f17429,f17434,f17439,f17444,f17449,f17454,f17459,f17464,f17469,f17474,f17479,f17484,f17489,f17495,f17501,f17506,f17511,f17516,f17521,f17526,f17531,f17536,f17541,f17546,f17551,f17556,f17561,f17566,f17571,f17576,f17581,f17586,f17591,f17596,f17601,f17606,f17611,f17616,f17621,f17626,f17631,f17637,f17642,f18047,f19623,f20129,f20531,f20660,f20835,f20990,f21125,f21310,f21316,f21321,f21350,f21356,f21362,f21391,f21397,f21402,f21407,f21412,f21417,f21422,f21427,f21432,f21437,f21442,f21447,f21452,f21457,f21462,f21467,f21472,f21477,f21482,f21487,f21492,f21497,f21502,f21507,f21512,f21517,f21522,f21527,f21532,f21537,f21542,f21547,f21552,f21557,f21562,f21567,f21572,f21577,f21582,f21587,f21592,f21597,f21602,f21607,f21612,f21617,f21652,f21709,f21714,f21719,f21724,f21729,f21764,f21931,f22097,f22263,f22429,f22594,f22749,f22754,f22759,f22764,f22833,f22837,f22841,f22845,f22849,f22853,f22857,f22862,f22866,f22870,f22874,f22878,f22882,f22886,f22890,f22894,f22898,f22902,f22907,f22911,f22916,f22921,f22926,f22931,f22936,f22941,f22946,f22951,f22956,f22961,f22966,f22971,f22976,f22981,f22986,f22991,f22996,f23001,f23006,f23011,f23016,f23021,f23026,f23031,f23036,f23041,f23046,f23051,f23056,f23061,f23066,f23095,f23100,f23105,f23110,f23115,f23120,f23125,f23129,f23133,f23137,f23165,f23170,f23175,f23180,f23185,f23190,f23195,f23200,f23205,f23210,f23239,f23244,f23249,f23254,f23259,f23264,f23269,f23274,f23279,f23284,f23313,f23318,f23323,f23328,f23333,f23338,f23343,f23348,f23353,f23358,f23387,f23392,f23397,f23402,f23407,f23412,f23417,f23421,f24137,f24342,f24547,f24752,f24987,f25192,f25397,f25602,f25700,f25704,f25708,f25712,f25716,f25720,f25724,f25729,f25733,f25737,f25741,f25745,f25749,f25753,f25757,f25761,f26221,f26381,f26386,f26391,f26396,f26401,f26406,f26411,f26416,f26421,f26426,f26431,f26436,f26441,f26446,f26451,f26456,f26461,f26466,f26471,f26476,f26481,f26486,f26491,f26496,f26501,f26506,f26511,f26516,f26521,f26526,f26531,f26536,f26541,f26546,f26551,f26556,f26561,f26566,f26571,f26576,f26581,f26586,f26591,f26596,f26601,f26606,f26611,f26616,f26621,f26626,f26631,f26636,f26641,f26646,f26651,f26656,f27181,f27736,f27841,f27946,f28143,f28580,f28586,f28591,f28596,f28609,f28614,f28672,f28677,f28737,f28741,f28745,f28750,f28754,f28758,f28762,f28766,f28770,f28774,f28778,f28782,f28786,f28790,f28795,f28799,f28803,f28807,f28811,f28815,f28819,f28823,f28827,f28831,f28835,f28840,f28844,f28848,f28852,f28857,f28893,f28898,f28960,f28964,f28969,f28973,f28977,f28981,f28985,f28989,f28993,f28997,f29002,f29060,f29089,f29150,f29154,f29158,f29162,f29166,f29170,f29174,f29178,f29206,f29210,f29214,f29218,f29222,f29226,f29230,f29234,f29238,f29242,f29270,f29274,f29278,f29282,f29286,f29290,f29294,f29298,f29303,f29364,f29369,f29433,f31691,f31704,f31708,f31818,f31819]) ).
fof(f31819,plain,
( ~ spl5_299
| ~ spl5_41
| spl5_1101 ),
inference(avatar_split_clause,[],[f31695,f31688,f439,f6514]) ).
fof(f6514,plain,
( spl5_299
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_299])]) ).
fof(f439,plain,
( spl5_41
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f31688,plain,
( spl5_1101
<=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1101])]) ).
fof(f31695,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl5_41
| spl5_1101 ),
inference(resolution,[],[f31690,f440]) ).
fof(f440,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f31690,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| spl5_1101 ),
inference(avatar_component_clause,[],[f31688]) ).
fof(f31818,plain,
( spl5_1104
| ~ spl5_93
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7256,f4273,f897,f31816]) ).
fof(f31816,plain,
( spl5_1104
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1104])]) ).
fof(f897,plain,
( spl5_93
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f4273,plain,
( spl5_217
<=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_217])]) ).
fof(f7256,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_93
| ~ spl5_217 ),
inference(resolution,[],[f4274,f898]) ).
fof(f898,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f4274,plain,
( aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_217 ),
inference(avatar_component_clause,[],[f4273]) ).
fof(f31708,plain,
( spl5_1103
| ~ spl5_215
| ~ spl5_341 ),
inference(avatar_split_clause,[],[f8010,f7996,f4265,f31706]) ).
fof(f31706,plain,
( spl5_1103
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xE,xE))),sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1103])]) ).
fof(f4265,plain,
( spl5_215
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_215])]) ).
fof(f7996,plain,
( spl5_341
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_341])]) ).
fof(f8010,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xE,xE))),sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_341 ),
inference(resolution,[],[f7997,f4266]) ).
fof(f4266,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl5_215 ),
inference(avatar_component_clause,[],[f4265]) ).
fof(f7997,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2))) )
| ~ spl5_341 ),
inference(avatar_component_clause,[],[f7996]) ).
fof(f31704,plain,
( spl5_1102
| ~ spl5_216
| ~ spl5_341 ),
inference(avatar_split_clause,[],[f8009,f7996,f4269,f31702]) ).
fof(f31702,plain,
( spl5_1102
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xC,xD))),sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1102])]) ).
fof(f4269,plain,
( spl5_216
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_216])]) ).
fof(f8009,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xC,xD))),sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_341 ),
inference(resolution,[],[f7997,f4270]) ).
fof(f4270,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl5_216 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f31691,plain,
( ~ spl5_298
| ~ spl5_325
| ~ spl5_299
| ~ spl5_52
| ~ spl5_1101
| ~ spl5_100
| spl5_219 ),
inference(avatar_split_clause,[],[f4293,f4281,f1013,f31688,f494,f6514,f7510,f6510]) ).
fof(f6510,plain,
( spl5_298
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_298])]) ).
fof(f7510,plain,
( spl5_325
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_325])]) ).
fof(f494,plain,
( spl5_52
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f1013,plain,
( spl5_100
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
fof(f4281,plain,
( spl5_219
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_219])]) ).
fof(f4293,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_100
| spl5_219 ),
inference(duplicate_literal_removal,[],[f4290]) ).
fof(f4290,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_100
| spl5_219 ),
inference(resolution,[],[f4283,f1014]) ).
fof(f1014,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_100 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f4283,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl5_219 ),
inference(avatar_component_clause,[],[f4281]) ).
fof(f29433,plain,
( spl5_1100
| ~ spl5_158
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f14566,f12732,f10877,f4295,f4277,f1937,f29430]) ).
fof(f29430,plain,
( spl5_1100
<=> sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1100])]) ).
fof(f1937,plain,
( spl5_158
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f4277,plain,
( spl5_218
<=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_218])]) ).
fof(f4295,plain,
( spl5_220
<=> aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_220])]) ).
fof(f10877,plain,
( spl5_495
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_495])]) ).
fof(f12732,plain,
( spl5_558
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_558])]) ).
fof(f14566,plain,
( sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_558 ),
inference(forward_demodulation,[],[f14406,f14235]) ).
fof(f14235,plain,
( sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_218
| ~ spl5_495
| ~ spl5_558 ),
inference(forward_demodulation,[],[f14108,f14089]) ).
fof(f14089,plain,
( sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sdtasdt0(xC,xD))
| ~ spl5_218
| ~ spl5_495 ),
inference(resolution,[],[f4278,f10878]) ).
fof(f10878,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_495 ),
inference(avatar_component_clause,[],[f10877]) ).
fof(f4278,plain,
( aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_218 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f14108,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_218
| ~ spl5_558 ),
inference(resolution,[],[f4278,f12733]) ).
fof(f12733,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) )
| ~ spl5_558 ),
inference(avatar_component_clause,[],[f12732]) ).
fof(f14406,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_220 ),
inference(resolution,[],[f4296,f1938]) ).
fof(f1938,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_158 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f4296,plain,
( aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_220 ),
inference(avatar_component_clause,[],[f4295]) ).
fof(f29369,plain,
( spl5_1099
| ~ spl5_60
| ~ spl5_567
| ~ spl5_1098 ),
inference(avatar_split_clause,[],[f29365,f29362,f14359,f529,f29367]) ).
fof(f29367,plain,
( spl5_1099
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1099])]) ).
fof(f529,plain,
( spl5_60
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f14359,plain,
( spl5_567
<=> sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_567])]) ).
fof(f29362,plain,
( spl5_1098
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1098])]) ).
fof(f29365,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_567
| ~ spl5_1098 ),
inference(forward_demodulation,[],[f29363,f14366]) ).
fof(f14366,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_60
| ~ spl5_567 ),
inference(resolution,[],[f14361,f530]) ).
fof(f530,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f14361,plain,
( sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_567 ),
inference(avatar_component_clause,[],[f14359]) ).
fof(f29363,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_1098 ),
inference(avatar_component_clause,[],[f29362]) ).
fof(f29364,plain,
( spl5_1098
| ~ spl5_159
| ~ spl5_218
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f14176,f5531,f4277,f1941,f29362]) ).
fof(f1941,plain,
( spl5_159
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f5531,plain,
( spl5_271
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_271])]) ).
fof(f14176,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_218
| ~ spl5_271 ),
inference(forward_demodulation,[],[f14022,f13952]) ).
fof(f13952,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_159
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1942]) ).
fof(f1942,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_159 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f14022,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_271 ),
inference(resolution,[],[f4278,f5532]) ).
fof(f5532,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_271 ),
inference(avatar_component_clause,[],[f5531]) ).
fof(f29303,plain,
( spl5_1097
| ~ spl5_58
| ~ spl5_567
| ~ spl5_1096 ),
inference(avatar_split_clause,[],[f29299,f29296,f14359,f521,f29301]) ).
fof(f29301,plain,
( spl5_1097
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1097])]) ).
fof(f521,plain,
( spl5_58
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f29296,plain,
( spl5_1096
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1096])]) ).
fof(f29299,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_567
| ~ spl5_1096 ),
inference(forward_demodulation,[],[f29297,f14364]) ).
fof(f14364,plain,
( sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_58
| ~ spl5_567 ),
inference(resolution,[],[f14361,f522]) ).
fof(f522,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f29297,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_1096 ),
inference(avatar_component_clause,[],[f29296]) ).
fof(f29298,plain,
( spl5_1096
| ~ spl5_158
| ~ spl5_218
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f14175,f5527,f4277,f1937,f29296]) ).
fof(f5527,plain,
( spl5_270
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_270])]) ).
fof(f14175,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_218
| ~ spl5_270 ),
inference(forward_demodulation,[],[f14021,f13951]) ).
fof(f13951,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_158
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1938]) ).
fof(f14021,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_270 ),
inference(resolution,[],[f4278,f5528]) ).
fof(f5528,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_270 ),
inference(avatar_component_clause,[],[f5527]) ).
fof(f29294,plain,
( spl5_1095
| ~ spl5_153
| ~ spl5_218
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f14174,f4801,f4277,f1448,f29292]) ).
fof(f29292,plain,
( spl5_1095
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1095])]) ).
fof(f1448,plain,
( spl5_153
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f4801,plain,
( spl5_262
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_262])]) ).
fof(f14174,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_218
| ~ spl5_262 ),
inference(forward_demodulation,[],[f14017,f13950]) ).
fof(f13950,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_153
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1449]) ).
fof(f1449,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) )
| ~ spl5_153 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f14017,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_262 ),
inference(resolution,[],[f4278,f4802]) ).
fof(f4802,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_262 ),
inference(avatar_component_clause,[],[f4801]) ).
fof(f29290,plain,
( spl5_1094
| ~ spl5_152
| ~ spl5_218
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f14173,f4797,f4277,f1444,f29288]) ).
fof(f29288,plain,
( spl5_1094
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1094])]) ).
fof(f1444,plain,
( spl5_152
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f4797,plain,
( spl5_261
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_261])]) ).
fof(f14173,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_218
| ~ spl5_261 ),
inference(forward_demodulation,[],[f14016,f13949]) ).
fof(f13949,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_152
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1445]) ).
fof(f1445,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_152 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f14016,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_261 ),
inference(resolution,[],[f4278,f4798]) ).
fof(f4798,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_261 ),
inference(avatar_component_clause,[],[f4797]) ).
fof(f29286,plain,
( spl5_1093
| ~ spl5_151
| ~ spl5_218
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f14172,f4793,f4277,f1440,f29284]) ).
fof(f29284,plain,
( spl5_1093
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1093])]) ).
fof(f1440,plain,
( spl5_151
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f4793,plain,
( spl5_260
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_260])]) ).
fof(f14172,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_218
| ~ spl5_260 ),
inference(forward_demodulation,[],[f14015,f13948]) ).
fof(f13948,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_151
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1441]) ).
fof(f1441,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_151 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f14015,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_260 ),
inference(resolution,[],[f4278,f4794]) ).
fof(f4794,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_260 ),
inference(avatar_component_clause,[],[f4793]) ).
fof(f29282,plain,
( spl5_1092
| ~ spl5_150
| ~ spl5_218
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f14171,f4789,f4277,f1436,f29280]) ).
fof(f29280,plain,
( spl5_1092
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1092])]) ).
fof(f1436,plain,
( spl5_150
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f4789,plain,
( spl5_259
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_259])]) ).
fof(f14171,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_218
| ~ spl5_259 ),
inference(forward_demodulation,[],[f14014,f13947]) ).
fof(f13947,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_150
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1437]) ).
fof(f1437,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_150 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f14014,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_259 ),
inference(resolution,[],[f4278,f4790]) ).
fof(f4790,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_259 ),
inference(avatar_component_clause,[],[f4789]) ).
fof(f29278,plain,
( spl5_1091
| ~ spl5_149
| ~ spl5_218
| ~ spl5_258 ),
inference(avatar_split_clause,[],[f14170,f4785,f4277,f1432,f29276]) ).
fof(f29276,plain,
( spl5_1091
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1091])]) ).
fof(f1432,plain,
( spl5_149
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f4785,plain,
( spl5_258
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_258])]) ).
fof(f14170,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_218
| ~ spl5_258 ),
inference(forward_demodulation,[],[f14013,f13946]) ).
fof(f13946,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_149
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1433]) ).
fof(f1433,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_149 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f14013,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_258 ),
inference(resolution,[],[f4278,f4786]) ).
fof(f4786,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_258 ),
inference(avatar_component_clause,[],[f4785]) ).
fof(f29274,plain,
( spl5_1090
| ~ spl5_148
| ~ spl5_218
| ~ spl5_257 ),
inference(avatar_split_clause,[],[f14169,f4774,f4277,f1428,f29272]) ).
fof(f29272,plain,
( spl5_1090
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1090])]) ).
fof(f1428,plain,
( spl5_148
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f4774,plain,
( spl5_257
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_257])]) ).
fof(f14169,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_218
| ~ spl5_257 ),
inference(forward_demodulation,[],[f14012,f13945]) ).
fof(f13945,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_148
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1429]) ).
fof(f1429,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_148 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f14012,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_257 ),
inference(resolution,[],[f4278,f4775]) ).
fof(f4775,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_257 ),
inference(avatar_component_clause,[],[f4774]) ).
fof(f29270,plain,
( spl5_1089
| ~ spl5_147
| ~ spl5_218
| ~ spl5_256 ),
inference(avatar_split_clause,[],[f14168,f4770,f4277,f1424,f29268]) ).
fof(f29268,plain,
( spl5_1089
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1089])]) ).
fof(f1424,plain,
( spl5_147
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f4770,plain,
( spl5_256
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_256])]) ).
fof(f14168,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_218
| ~ spl5_256 ),
inference(forward_demodulation,[],[f14011,f13944]) ).
fof(f13944,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_147
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1425]) ).
fof(f1425,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_147 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f14011,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_256 ),
inference(resolution,[],[f4278,f4771]) ).
fof(f4771,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_256 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f29242,plain,
( spl5_1088
| ~ spl5_146
| ~ spl5_218
| ~ spl5_255 ),
inference(avatar_split_clause,[],[f14167,f4766,f4277,f1420,f29240]) ).
fof(f29240,plain,
( spl5_1088
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1088])]) ).
fof(f1420,plain,
( spl5_146
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f4766,plain,
( spl5_255
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_255])]) ).
fof(f14167,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_218
| ~ spl5_255 ),
inference(forward_demodulation,[],[f14010,f13943]) ).
fof(f13943,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_146
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1421]) ).
fof(f1421,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_146 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f14010,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_255 ),
inference(resolution,[],[f4278,f4767]) ).
fof(f4767,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_255 ),
inference(avatar_component_clause,[],[f4766]) ).
fof(f29238,plain,
( spl5_1087
| ~ spl5_145
| ~ spl5_218
| ~ spl5_254 ),
inference(avatar_split_clause,[],[f14166,f4762,f4277,f1416,f29236]) ).
fof(f29236,plain,
( spl5_1087
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1087])]) ).
fof(f1416,plain,
( spl5_145
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f4762,plain,
( spl5_254
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_254])]) ).
fof(f14166,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_218
| ~ spl5_254 ),
inference(forward_demodulation,[],[f14009,f13942]) ).
fof(f13942,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_145
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1417]) ).
fof(f1417,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_145 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f14009,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_254 ),
inference(resolution,[],[f4278,f4763]) ).
fof(f4763,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_254 ),
inference(avatar_component_clause,[],[f4762]) ).
fof(f29234,plain,
( spl5_1086
| ~ spl5_143
| ~ spl5_218
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f14165,f4758,f4277,f1407,f29232]) ).
fof(f29232,plain,
( spl5_1086
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1086])]) ).
fof(f1407,plain,
( spl5_143
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f4758,plain,
( spl5_253
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_253])]) ).
fof(f14165,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_218
| ~ spl5_253 ),
inference(forward_demodulation,[],[f14008,f13941]) ).
fof(f13941,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_143
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1408]) ).
fof(f1408,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_143 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f14008,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_253 ),
inference(resolution,[],[f4278,f4759]) ).
fof(f4759,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_253 ),
inference(avatar_component_clause,[],[f4758]) ).
fof(f29230,plain,
( spl5_1085
| ~ spl5_142
| ~ spl5_218
| ~ spl5_252 ),
inference(avatar_split_clause,[],[f14164,f4754,f4277,f1403,f29228]) ).
fof(f29228,plain,
( spl5_1085
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1085])]) ).
fof(f1403,plain,
( spl5_142
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f4754,plain,
( spl5_252
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_252])]) ).
fof(f14164,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_218
| ~ spl5_252 ),
inference(forward_demodulation,[],[f14007,f13940]) ).
fof(f13940,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_142
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1404]) ).
fof(f1404,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_142 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f14007,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_252 ),
inference(resolution,[],[f4278,f4755]) ).
fof(f4755,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_252 ),
inference(avatar_component_clause,[],[f4754]) ).
fof(f29226,plain,
( spl5_1084
| ~ spl5_141
| ~ spl5_218
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f14163,f4750,f4277,f1399,f29224]) ).
fof(f29224,plain,
( spl5_1084
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1084])]) ).
fof(f1399,plain,
( spl5_141
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f4750,plain,
( spl5_251
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_251])]) ).
fof(f14163,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_218
| ~ spl5_251 ),
inference(forward_demodulation,[],[f14006,f13939]) ).
fof(f13939,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_141
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1400]) ).
fof(f1400,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_141 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f14006,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_251 ),
inference(resolution,[],[f4278,f4751]) ).
fof(f4751,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_251 ),
inference(avatar_component_clause,[],[f4750]) ).
fof(f29222,plain,
( spl5_1083
| ~ spl5_140
| ~ spl5_218
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f14162,f4746,f4277,f1395,f29220]) ).
fof(f29220,plain,
( spl5_1083
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1083])]) ).
fof(f1395,plain,
( spl5_140
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f4746,plain,
( spl5_250
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_250])]) ).
fof(f14162,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_218
| ~ spl5_250 ),
inference(forward_demodulation,[],[f14005,f13938]) ).
fof(f13938,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_140
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1396]) ).
fof(f1396,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) )
| ~ spl5_140 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f14005,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_250 ),
inference(resolution,[],[f4278,f4747]) ).
fof(f4747,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_250 ),
inference(avatar_component_clause,[],[f4746]) ).
fof(f29218,plain,
( spl5_1082
| ~ spl5_139
| ~ spl5_218
| ~ spl5_249 ),
inference(avatar_split_clause,[],[f14161,f4742,f4277,f1391,f29216]) ).
fof(f29216,plain,
( spl5_1082
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1082])]) ).
fof(f1391,plain,
( spl5_139
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f4742,plain,
( spl5_249
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_249])]) ).
fof(f14161,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_218
| ~ spl5_249 ),
inference(forward_demodulation,[],[f14004,f13937]) ).
fof(f13937,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_139
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1392]) ).
fof(f1392,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_139 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f14004,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_249 ),
inference(resolution,[],[f4278,f4743]) ).
fof(f4743,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_249 ),
inference(avatar_component_clause,[],[f4742]) ).
fof(f29214,plain,
( spl5_1081
| ~ spl5_138
| ~ spl5_218
| ~ spl5_248 ),
inference(avatar_split_clause,[],[f14160,f4738,f4277,f1387,f29212]) ).
fof(f29212,plain,
( spl5_1081
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1081])]) ).
fof(f1387,plain,
( spl5_138
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f4738,plain,
( spl5_248
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_248])]) ).
fof(f14160,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_218
| ~ spl5_248 ),
inference(forward_demodulation,[],[f14003,f13936]) ).
fof(f13936,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_138
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1388]) ).
fof(f1388,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_138 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f14003,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_248 ),
inference(resolution,[],[f4278,f4739]) ).
fof(f4739,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_248 ),
inference(avatar_component_clause,[],[f4738]) ).
fof(f29210,plain,
( spl5_1080
| ~ spl5_137
| ~ spl5_218
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f14159,f4727,f4277,f1383,f29208]) ).
fof(f29208,plain,
( spl5_1080
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1080])]) ).
fof(f1383,plain,
( spl5_137
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f4727,plain,
( spl5_247
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_247])]) ).
fof(f14159,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_218
| ~ spl5_247 ),
inference(forward_demodulation,[],[f14002,f13935]) ).
fof(f13935,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_137
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1384]) ).
fof(f1384,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_137 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f14002,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_247 ),
inference(resolution,[],[f4278,f4728]) ).
fof(f4728,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_247 ),
inference(avatar_component_clause,[],[f4727]) ).
fof(f29206,plain,
( spl5_1079
| ~ spl5_136
| ~ spl5_218
| ~ spl5_246 ),
inference(avatar_split_clause,[],[f14158,f4723,f4277,f1379,f29204]) ).
fof(f29204,plain,
( spl5_1079
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1079])]) ).
fof(f1379,plain,
( spl5_136
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f4723,plain,
( spl5_246
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_246])]) ).
fof(f14158,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_218
| ~ spl5_246 ),
inference(forward_demodulation,[],[f14001,f13934]) ).
fof(f13934,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_136
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1380]) ).
fof(f1380,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_136 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f14001,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_246 ),
inference(resolution,[],[f4278,f4724]) ).
fof(f4724,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_246 ),
inference(avatar_component_clause,[],[f4723]) ).
fof(f29178,plain,
( spl5_1078
| ~ spl5_135
| ~ spl5_218
| ~ spl5_245 ),
inference(avatar_split_clause,[],[f14157,f4719,f4277,f1375,f29176]) ).
fof(f29176,plain,
( spl5_1078
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1078])]) ).
fof(f1375,plain,
( spl5_135
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f4719,plain,
( spl5_245
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_245])]) ).
fof(f14157,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_218
| ~ spl5_245 ),
inference(forward_demodulation,[],[f14000,f13933]) ).
fof(f13933,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_135
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1376]) ).
fof(f1376,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_135 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f14000,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_245 ),
inference(resolution,[],[f4278,f4720]) ).
fof(f4720,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_245 ),
inference(avatar_component_clause,[],[f4719]) ).
fof(f29174,plain,
( spl5_1077
| ~ spl5_134
| ~ spl5_218
| ~ spl5_244 ),
inference(avatar_split_clause,[],[f14156,f4715,f4277,f1371,f29172]) ).
fof(f29172,plain,
( spl5_1077
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1077])]) ).
fof(f1371,plain,
( spl5_134
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f4715,plain,
( spl5_244
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_244])]) ).
fof(f14156,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_218
| ~ spl5_244 ),
inference(forward_demodulation,[],[f13999,f13932]) ).
fof(f13932,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_134
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1372]) ).
fof(f1372,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_134 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f13999,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_244 ),
inference(resolution,[],[f4278,f4716]) ).
fof(f4716,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_244 ),
inference(avatar_component_clause,[],[f4715]) ).
fof(f29170,plain,
( spl5_1076
| ~ spl5_132
| ~ spl5_218
| ~ spl5_243 ),
inference(avatar_split_clause,[],[f14155,f4711,f4277,f1362,f29168]) ).
fof(f29168,plain,
( spl5_1076
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1076])]) ).
fof(f1362,plain,
( spl5_132
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f4711,plain,
( spl5_243
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_243])]) ).
fof(f14155,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_218
| ~ spl5_243 ),
inference(forward_demodulation,[],[f13998,f13931]) ).
fof(f13931,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_132
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1363]) ).
fof(f1363,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_132 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f13998,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_243 ),
inference(resolution,[],[f4278,f4712]) ).
fof(f4712,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_243 ),
inference(avatar_component_clause,[],[f4711]) ).
fof(f29166,plain,
( spl5_1075
| ~ spl5_131
| ~ spl5_218
| ~ spl5_242 ),
inference(avatar_split_clause,[],[f14154,f4707,f4277,f1358,f29164]) ).
fof(f29164,plain,
( spl5_1075
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1075])]) ).
fof(f1358,plain,
( spl5_131
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f4707,plain,
( spl5_242
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_242])]) ).
fof(f14154,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_218
| ~ spl5_242 ),
inference(forward_demodulation,[],[f13997,f13930]) ).
fof(f13930,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_131
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1359]) ).
fof(f1359,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_131 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f13997,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_242 ),
inference(resolution,[],[f4278,f4708]) ).
fof(f4708,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_242 ),
inference(avatar_component_clause,[],[f4707]) ).
fof(f29162,plain,
( spl5_1074
| ~ spl5_130
| ~ spl5_218
| ~ spl5_241 ),
inference(avatar_split_clause,[],[f14153,f4703,f4277,f1354,f29160]) ).
fof(f29160,plain,
( spl5_1074
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1074])]) ).
fof(f1354,plain,
( spl5_130
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f4703,plain,
( spl5_241
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_241])]) ).
fof(f14153,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_218
| ~ spl5_241 ),
inference(forward_demodulation,[],[f13996,f13929]) ).
fof(f13929,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_130
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1355]) ).
fof(f1355,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_130 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f13996,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_241 ),
inference(resolution,[],[f4278,f4704]) ).
fof(f4704,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_241 ),
inference(avatar_component_clause,[],[f4703]) ).
fof(f29158,plain,
( spl5_1073
| ~ spl5_129
| ~ spl5_218
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f14152,f4699,f4277,f1350,f29156]) ).
fof(f29156,plain,
( spl5_1073
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1073])]) ).
fof(f1350,plain,
( spl5_129
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f4699,plain,
( spl5_240
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_240])]) ).
fof(f14152,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_218
| ~ spl5_240 ),
inference(forward_demodulation,[],[f13995,f13928]) ).
fof(f13928,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_129
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1351]) ).
fof(f1351,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_129 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f13995,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_240 ),
inference(resolution,[],[f4278,f4700]) ).
fof(f4700,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_240 ),
inference(avatar_component_clause,[],[f4699]) ).
fof(f29154,plain,
( spl5_1072
| ~ spl5_128
| ~ spl5_218
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f14151,f4695,f4277,f1346,f29152]) ).
fof(f29152,plain,
( spl5_1072
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1072])]) ).
fof(f1346,plain,
( spl5_128
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f4695,plain,
( spl5_239
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_239])]) ).
fof(f14151,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_218
| ~ spl5_239 ),
inference(forward_demodulation,[],[f13994,f13927]) ).
fof(f13927,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_128
| ~ spl5_218 ),
inference(resolution,[],[f4278,f1347]) ).
fof(f1347,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_128 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f13994,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA))
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_239 ),
inference(resolution,[],[f4278,f4696]) ).
fof(f4696,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_239 ),
inference(avatar_component_clause,[],[f4695]) ).
fof(f29150,plain,
( spl5_1071
| ~ spl5_218
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f14020,f5519,f4277,f29148]) ).
fof(f29148,plain,
( spl5_1071
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1071])]) ).
fof(f5519,plain,
( spl5_268
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_268])]) ).
fof(f14020,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) )
| ~ spl5_218
| ~ spl5_268 ),
inference(resolution,[],[f4278,f5520]) ).
fof(f5520,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl5_268 ),
inference(avatar_component_clause,[],[f5519]) ).
fof(f29089,plain,
( spl5_1070
| ~ spl5_61
| ~ spl5_567
| ~ spl5_1069 ),
inference(avatar_split_clause,[],[f29061,f29058,f14359,f533,f29087]) ).
fof(f29087,plain,
( spl5_1070
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1070])]) ).
fof(f533,plain,
( spl5_61
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f29058,plain,
( spl5_1069
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1069])]) ).
fof(f29061,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_567
| ~ spl5_1069 ),
inference(forward_demodulation,[],[f29059,f14367]) ).
fof(f14367,plain,
( sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)) = smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_61
| ~ spl5_567 ),
inference(resolution,[],[f14361,f534]) ).
fof(f534,plain,
( ! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl5_61 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f29059,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) )
| ~ spl5_1069 ),
inference(avatar_component_clause,[],[f29058]) ).
fof(f29060,plain,
( spl5_1069
| ~ spl5_218
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f14019,f5515,f4277,f29058]) ).
fof(f5515,plain,
( spl5_267
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_267])]) ).
fof(f14019,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) )
| ~ spl5_218
| ~ spl5_267 ),
inference(resolution,[],[f4278,f5516]) ).
fof(f5516,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl5_267 ),
inference(avatar_component_clause,[],[f5515]) ).
fof(f29002,plain,
( spl5_1068
| ~ spl5_61
| ~ spl5_567
| ~ spl5_1067 ),
inference(avatar_split_clause,[],[f28998,f28995,f14359,f533,f29000]) ).
fof(f29000,plain,
( spl5_1068
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1068])]) ).
fof(f28995,plain,
( spl5_1067
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1067])]) ).
fof(f28998,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_567
| ~ spl5_1067 ),
inference(forward_demodulation,[],[f28996,f14367]) ).
fof(f28996,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) )
| ~ spl5_1067 ),
inference(avatar_component_clause,[],[f28995]) ).
fof(f28997,plain,
( spl5_1067
| ~ spl5_218
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f14018,f5506,f4277,f28995]) ).
fof(f5506,plain,
( spl5_265
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_265])]) ).
fof(f14018,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))) )
| ~ spl5_218
| ~ spl5_265 ),
inference(resolution,[],[f4278,f5507]) ).
fof(f5507,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1))) )
| ~ spl5_265 ),
inference(avatar_component_clause,[],[f5506]) ).
fof(f28993,plain,
( spl5_1066
| ~ spl5_215
| ~ spl5_347 ),
inference(avatar_split_clause,[],[f8139,f8045,f4265,f28991]) ).
fof(f28991,plain,
( spl5_1066
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1066])]) ).
fof(f8045,plain,
( spl5_347
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_347])]) ).
fof(f8139,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) )
| ~ spl5_215
| ~ spl5_347 ),
inference(resolution,[],[f8046,f4266]) ).
fof(f8046,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl5_347 ),
inference(avatar_component_clause,[],[f8045]) ).
fof(f28989,plain,
( spl5_1065
| ~ spl5_216
| ~ spl5_347 ),
inference(avatar_split_clause,[],[f8138,f8045,f4269,f28987]) ).
fof(f28987,plain,
( spl5_1065
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1065])]) ).
fof(f8138,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) )
| ~ spl5_216
| ~ spl5_347 ),
inference(resolution,[],[f8046,f4270]) ).
fof(f28985,plain,
( spl5_1064
| ~ spl5_215
| ~ spl5_346 ),
inference(avatar_split_clause,[],[f8116,f8041,f4265,f28983]) ).
fof(f28983,plain,
( spl5_1064
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1064])]) ).
fof(f8041,plain,
( spl5_346
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_346])]) ).
fof(f8116,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) )
| ~ spl5_215
| ~ spl5_346 ),
inference(resolution,[],[f8042,f4266]) ).
fof(f8042,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl5_346 ),
inference(avatar_component_clause,[],[f8041]) ).
fof(f28981,plain,
( spl5_1063
| ~ spl5_216
| ~ spl5_346 ),
inference(avatar_split_clause,[],[f8115,f8041,f4269,f28979]) ).
fof(f28979,plain,
( spl5_1063
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1063])]) ).
fof(f8115,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) )
| ~ spl5_216
| ~ spl5_346 ),
inference(resolution,[],[f8042,f4270]) ).
fof(f28977,plain,
( spl5_1062
| ~ spl5_215
| ~ spl5_344 ),
inference(avatar_split_clause,[],[f8081,f8033,f4265,f28975]) ).
fof(f28975,plain,
( spl5_1062
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1062])]) ).
fof(f8033,plain,
( spl5_344
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_344])]) ).
fof(f8081,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) )
| ~ spl5_215
| ~ spl5_344 ),
inference(resolution,[],[f8034,f4266]) ).
fof(f8034,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl5_344 ),
inference(avatar_component_clause,[],[f8033]) ).
fof(f28973,plain,
( spl5_1061
| ~ spl5_216
| ~ spl5_344 ),
inference(avatar_split_clause,[],[f8080,f8033,f4269,f28971]) ).
fof(f28971,plain,
( spl5_1061
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1061])]) ).
fof(f8080,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) )
| ~ spl5_216
| ~ spl5_344 ),
inference(resolution,[],[f8034,f4270]) ).
fof(f28969,plain,
( spl5_1060
| ~ spl5_18
| ~ spl5_60
| ~ spl5_88
| ~ spl5_272
| ~ spl5_623 ),
inference(avatar_split_clause,[],[f16803,f15063,f5686,f818,f529,f315,f28966]) ).
fof(f28966,plain,
( spl5_1060
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1060])]) ).
fof(f315,plain,
( spl5_18
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f818,plain,
( spl5_88
<=> sP2(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f5686,plain,
( spl5_272
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_272])]) ).
fof(f15063,plain,
( spl5_623
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_623])]) ).
fof(f16803,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_88
| ~ spl5_272
| ~ spl5_623 ),
inference(forward_demodulation,[],[f16802,f1155]) ).
fof(f1155,plain,
( sz0z00 = sdtasdt0(sz0z00,xN)
| ~ spl5_60
| ~ spl5_88 ),
inference(resolution,[],[f820,f530]) ).
fof(f820,plain,
( sP2(xN)
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f16802,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_623 ),
inference(forward_demodulation,[],[f16775,f5688]) ).
fof(f5688,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_272 ),
inference(avatar_component_clause,[],[f5686]) ).
fof(f16775,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_623 ),
inference(resolution,[],[f15064,f317]) ).
fof(f317,plain,
( aScalar0(sz0z00)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f15064,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD))) )
| ~ spl5_623 ),
inference(avatar_component_clause,[],[f15063]) ).
fof(f28964,plain,
( spl5_1059
| ~ spl5_215
| ~ spl5_343 ),
inference(avatar_split_clause,[],[f8058,f8029,f4265,f28962]) ).
fof(f28962,plain,
( spl5_1059
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1059])]) ).
fof(f8029,plain,
( spl5_343
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_343])]) ).
fof(f8058,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xE,xE))))
| ~ aScalar0(X2) )
| ~ spl5_215
| ~ spl5_343 ),
inference(resolution,[],[f8030,f4266]) ).
fof(f8030,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl5_343 ),
inference(avatar_component_clause,[],[f8029]) ).
fof(f28960,plain,
( spl5_1058
| ~ spl5_216
| ~ spl5_343 ),
inference(avatar_split_clause,[],[f8057,f8029,f4269,f28958]) ).
fof(f28958,plain,
( spl5_1058
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1058])]) ).
fof(f8057,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xC,xD))))
| ~ aScalar0(X2) )
| ~ spl5_216
| ~ spl5_343 ),
inference(resolution,[],[f8030,f4270]) ).
fof(f28898,plain,
( spl5_1057
| ~ spl5_60
| ~ spl5_390
| ~ spl5_1056 ),
inference(avatar_split_clause,[],[f28894,f28891,f9231,f529,f28896]) ).
fof(f28896,plain,
( spl5_1057
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1057])]) ).
fof(f9231,plain,
( spl5_390
<=> sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_390])]) ).
fof(f28891,plain,
( spl5_1056
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1056])]) ).
fof(f28894,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_390
| ~ spl5_1056 ),
inference(forward_demodulation,[],[f28892,f9238]) ).
fof(f9238,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_60
| ~ spl5_390 ),
inference(resolution,[],[f9233,f530]) ).
fof(f9233,plain,
( sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_390 ),
inference(avatar_component_clause,[],[f9231]) ).
fof(f28892,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_1056 ),
inference(avatar_component_clause,[],[f28891]) ).
fof(f28893,plain,
( spl5_1056
| ~ spl5_159
| ~ spl5_217
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f7459,f5531,f4273,f1941,f28891]) ).
fof(f7459,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_217
| ~ spl5_271 ),
inference(forward_demodulation,[],[f7356,f7286]) ).
fof(f7286,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_159
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1942]) ).
fof(f7356,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_271 ),
inference(resolution,[],[f4274,f5532]) ).
fof(f28857,plain,
( spl5_1055
| ~ spl5_58
| ~ spl5_390
| ~ spl5_1054 ),
inference(avatar_split_clause,[],[f28853,f28850,f9231,f521,f28855]) ).
fof(f28855,plain,
( spl5_1055
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1055])]) ).
fof(f28850,plain,
( spl5_1054
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1054])]) ).
fof(f28853,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_390
| ~ spl5_1054 ),
inference(forward_demodulation,[],[f28851,f9236]) ).
fof(f9236,plain,
( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_58
| ~ spl5_390 ),
inference(resolution,[],[f9233,f522]) ).
fof(f28851,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_1054 ),
inference(avatar_component_clause,[],[f28850]) ).
fof(f28852,plain,
( spl5_1054
| ~ spl5_158
| ~ spl5_217
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f7458,f5527,f4273,f1937,f28850]) ).
fof(f7458,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_217
| ~ spl5_270 ),
inference(forward_demodulation,[],[f7355,f7285]) ).
fof(f7285,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_158
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1938]) ).
fof(f7355,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_270 ),
inference(resolution,[],[f4274,f5528]) ).
fof(f28848,plain,
( spl5_1053
| ~ spl5_153
| ~ spl5_217
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f7457,f4801,f4273,f1448,f28846]) ).
fof(f28846,plain,
( spl5_1053
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1053])]) ).
fof(f7457,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_217
| ~ spl5_262 ),
inference(forward_demodulation,[],[f7351,f7284]) ).
fof(f7284,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_153
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1449]) ).
fof(f7351,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_262 ),
inference(resolution,[],[f4274,f4802]) ).
fof(f28844,plain,
( spl5_1052
| ~ spl5_152
| ~ spl5_217
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f7456,f4797,f4273,f1444,f28842]) ).
fof(f28842,plain,
( spl5_1052
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1052])]) ).
fof(f7456,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_217
| ~ spl5_261 ),
inference(forward_demodulation,[],[f7350,f7283]) ).
fof(f7283,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_152
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1445]) ).
fof(f7350,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_261 ),
inference(resolution,[],[f4274,f4798]) ).
fof(f28840,plain,
( spl5_1051
| ~ spl5_18
| ~ spl5_60
| ~ spl5_88
| ~ spl5_264
| ~ spl5_622 ),
inference(avatar_split_clause,[],[f16769,f15059,f5246,f818,f529,f315,f28837]) ).
fof(f28837,plain,
( spl5_1051
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1051])]) ).
fof(f5246,plain,
( spl5_264
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_264])]) ).
fof(f15059,plain,
( spl5_622
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_622])]) ).
fof(f16769,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_88
| ~ spl5_264
| ~ spl5_622 ),
inference(forward_demodulation,[],[f16768,f1155]) ).
fof(f16768,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_622 ),
inference(forward_demodulation,[],[f16741,f5248]) ).
fof(f5248,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_264 ),
inference(avatar_component_clause,[],[f5246]) ).
fof(f16741,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_622 ),
inference(resolution,[],[f15060,f317]) ).
fof(f15060,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE))) )
| ~ spl5_622 ),
inference(avatar_component_clause,[],[f15059]) ).
fof(f28835,plain,
( spl5_1050
| ~ spl5_151
| ~ spl5_217
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f7455,f4793,f4273,f1440,f28833]) ).
fof(f28833,plain,
( spl5_1050
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1050])]) ).
fof(f7455,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_217
| ~ spl5_260 ),
inference(forward_demodulation,[],[f7349,f7282]) ).
fof(f7282,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_151
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1441]) ).
fof(f7349,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_260 ),
inference(resolution,[],[f4274,f4794]) ).
fof(f28831,plain,
( spl5_1049
| ~ spl5_150
| ~ spl5_217
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f7454,f4789,f4273,f1436,f28829]) ).
fof(f28829,plain,
( spl5_1049
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1049])]) ).
fof(f7454,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_217
| ~ spl5_259 ),
inference(forward_demodulation,[],[f7348,f7281]) ).
fof(f7281,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_150
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1437]) ).
fof(f7348,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_259 ),
inference(resolution,[],[f4274,f4790]) ).
fof(f28827,plain,
( spl5_1048
| ~ spl5_149
| ~ spl5_217
| ~ spl5_258 ),
inference(avatar_split_clause,[],[f7453,f4785,f4273,f1432,f28825]) ).
fof(f28825,plain,
( spl5_1048
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1048])]) ).
fof(f7453,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_217
| ~ spl5_258 ),
inference(forward_demodulation,[],[f7347,f7280]) ).
fof(f7280,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_149
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1433]) ).
fof(f7347,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_258 ),
inference(resolution,[],[f4274,f4786]) ).
fof(f28823,plain,
( spl5_1047
| ~ spl5_148
| ~ spl5_217
| ~ spl5_257 ),
inference(avatar_split_clause,[],[f7452,f4774,f4273,f1428,f28821]) ).
fof(f28821,plain,
( spl5_1047
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1047])]) ).
fof(f7452,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_217
| ~ spl5_257 ),
inference(forward_demodulation,[],[f7346,f7279]) ).
fof(f7279,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_148
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1429]) ).
fof(f7346,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_257 ),
inference(resolution,[],[f4274,f4775]) ).
fof(f28819,plain,
( spl5_1046
| ~ spl5_147
| ~ spl5_217
| ~ spl5_256 ),
inference(avatar_split_clause,[],[f7451,f4770,f4273,f1424,f28817]) ).
fof(f28817,plain,
( spl5_1046
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1046])]) ).
fof(f7451,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_217
| ~ spl5_256 ),
inference(forward_demodulation,[],[f7345,f7278]) ).
fof(f7278,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_147
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1425]) ).
fof(f7345,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_256 ),
inference(resolution,[],[f4274,f4771]) ).
fof(f28815,plain,
( spl5_1045
| ~ spl5_146
| ~ spl5_217
| ~ spl5_255 ),
inference(avatar_split_clause,[],[f7450,f4766,f4273,f1420,f28813]) ).
fof(f28813,plain,
( spl5_1045
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1045])]) ).
fof(f7450,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_217
| ~ spl5_255 ),
inference(forward_demodulation,[],[f7344,f7277]) ).
fof(f7277,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_146
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1421]) ).
fof(f7344,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_255 ),
inference(resolution,[],[f4274,f4767]) ).
fof(f28811,plain,
( spl5_1044
| ~ spl5_145
| ~ spl5_217
| ~ spl5_254 ),
inference(avatar_split_clause,[],[f7449,f4762,f4273,f1416,f28809]) ).
fof(f28809,plain,
( spl5_1044
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1044])]) ).
fof(f7449,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_217
| ~ spl5_254 ),
inference(forward_demodulation,[],[f7343,f7276]) ).
fof(f7276,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_145
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1417]) ).
fof(f7343,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_254 ),
inference(resolution,[],[f4274,f4763]) ).
fof(f28807,plain,
( spl5_1043
| ~ spl5_143
| ~ spl5_217
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f7448,f4758,f4273,f1407,f28805]) ).
fof(f28805,plain,
( spl5_1043
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1043])]) ).
fof(f7448,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_217
| ~ spl5_253 ),
inference(forward_demodulation,[],[f7342,f7275]) ).
fof(f7275,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_143
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1408]) ).
fof(f7342,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_253 ),
inference(resolution,[],[f4274,f4759]) ).
fof(f28803,plain,
( spl5_1042
| ~ spl5_142
| ~ spl5_217
| ~ spl5_252 ),
inference(avatar_split_clause,[],[f7447,f4754,f4273,f1403,f28801]) ).
fof(f28801,plain,
( spl5_1042
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1042])]) ).
fof(f7447,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_217
| ~ spl5_252 ),
inference(forward_demodulation,[],[f7341,f7274]) ).
fof(f7274,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_142
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1404]) ).
fof(f7341,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_252 ),
inference(resolution,[],[f4274,f4755]) ).
fof(f28799,plain,
( spl5_1041
| ~ spl5_141
| ~ spl5_217
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f7446,f4750,f4273,f1399,f28797]) ).
fof(f28797,plain,
( spl5_1041
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1041])]) ).
fof(f7446,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_217
| ~ spl5_251 ),
inference(forward_demodulation,[],[f7340,f7273]) ).
fof(f7273,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_141
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1400]) ).
fof(f7340,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_251 ),
inference(resolution,[],[f4274,f4751]) ).
fof(f28795,plain,
( spl5_1040
| ~ spl5_18
| ~ spl5_60
| ~ spl5_86
| ~ spl5_272
| ~ spl5_621 ),
inference(avatar_split_clause,[],[f16733,f15055,f5686,f717,f529,f315,f28792]) ).
fof(f28792,plain,
( spl5_1040
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1040])]) ).
fof(f717,plain,
( spl5_86
<=> sP2(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f15055,plain,
( spl5_621
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_621])]) ).
fof(f16733,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_86
| ~ spl5_272
| ~ spl5_621 ),
inference(forward_demodulation,[],[f16732,f1148]) ).
fof(f1148,plain,
( sz0z00 = sdtasdt0(sz0z00,xS)
| ~ spl5_60
| ~ spl5_86 ),
inference(resolution,[],[f719,f530]) ).
fof(f719,plain,
( sP2(xS)
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f16732,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_621 ),
inference(forward_demodulation,[],[f16705,f5688]) ).
fof(f16705,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_621 ),
inference(resolution,[],[f15056,f317]) ).
fof(f15056,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD))) )
| ~ spl5_621 ),
inference(avatar_component_clause,[],[f15055]) ).
fof(f28790,plain,
( spl5_1039
| ~ spl5_140
| ~ spl5_217
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f7445,f4746,f4273,f1395,f28788]) ).
fof(f28788,plain,
( spl5_1039
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1039])]) ).
fof(f7445,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_217
| ~ spl5_250 ),
inference(forward_demodulation,[],[f7339,f7272]) ).
fof(f7272,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_140
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1396]) ).
fof(f7339,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_250 ),
inference(resolution,[],[f4274,f4747]) ).
fof(f28786,plain,
( spl5_1038
| ~ spl5_139
| ~ spl5_217
| ~ spl5_249 ),
inference(avatar_split_clause,[],[f7444,f4742,f4273,f1391,f28784]) ).
fof(f28784,plain,
( spl5_1038
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1038])]) ).
fof(f7444,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_217
| ~ spl5_249 ),
inference(forward_demodulation,[],[f7338,f7271]) ).
fof(f7271,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_139
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1392]) ).
fof(f7338,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_249 ),
inference(resolution,[],[f4274,f4743]) ).
fof(f28782,plain,
( spl5_1037
| ~ spl5_138
| ~ spl5_217
| ~ spl5_248 ),
inference(avatar_split_clause,[],[f7443,f4738,f4273,f1387,f28780]) ).
fof(f28780,plain,
( spl5_1037
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1037])]) ).
fof(f7443,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_217
| ~ spl5_248 ),
inference(forward_demodulation,[],[f7337,f7270]) ).
fof(f7270,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_138
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1388]) ).
fof(f7337,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_248 ),
inference(resolution,[],[f4274,f4739]) ).
fof(f28778,plain,
( spl5_1036
| ~ spl5_137
| ~ spl5_217
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f7442,f4727,f4273,f1383,f28776]) ).
fof(f28776,plain,
( spl5_1036
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1036])]) ).
fof(f7442,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_217
| ~ spl5_247 ),
inference(forward_demodulation,[],[f7336,f7269]) ).
fof(f7269,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_137
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1384]) ).
fof(f7336,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_247 ),
inference(resolution,[],[f4274,f4728]) ).
fof(f28774,plain,
( spl5_1035
| ~ spl5_136
| ~ spl5_217
| ~ spl5_246 ),
inference(avatar_split_clause,[],[f7441,f4723,f4273,f1379,f28772]) ).
fof(f28772,plain,
( spl5_1035
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1035])]) ).
fof(f7441,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_217
| ~ spl5_246 ),
inference(forward_demodulation,[],[f7335,f7268]) ).
fof(f7268,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_136
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1380]) ).
fof(f7335,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_246 ),
inference(resolution,[],[f4274,f4724]) ).
fof(f28770,plain,
( spl5_1034
| ~ spl5_135
| ~ spl5_217
| ~ spl5_245 ),
inference(avatar_split_clause,[],[f7440,f4719,f4273,f1375,f28768]) ).
fof(f28768,plain,
( spl5_1034
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1034])]) ).
fof(f7440,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_217
| ~ spl5_245 ),
inference(forward_demodulation,[],[f7334,f7267]) ).
fof(f7267,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_135
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1376]) ).
fof(f7334,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_245 ),
inference(resolution,[],[f4274,f4720]) ).
fof(f28766,plain,
( spl5_1033
| ~ spl5_134
| ~ spl5_217
| ~ spl5_244 ),
inference(avatar_split_clause,[],[f7439,f4715,f4273,f1371,f28764]) ).
fof(f28764,plain,
( spl5_1033
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1033])]) ).
fof(f7439,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_217
| ~ spl5_244 ),
inference(forward_demodulation,[],[f7333,f7266]) ).
fof(f7266,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_134
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1372]) ).
fof(f7333,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_244 ),
inference(resolution,[],[f4274,f4716]) ).
fof(f28762,plain,
( spl5_1032
| ~ spl5_132
| ~ spl5_217
| ~ spl5_243 ),
inference(avatar_split_clause,[],[f7438,f4711,f4273,f1362,f28760]) ).
fof(f28760,plain,
( spl5_1032
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1032])]) ).
fof(f7438,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_217
| ~ spl5_243 ),
inference(forward_demodulation,[],[f7332,f7265]) ).
fof(f7265,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_132
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1363]) ).
fof(f7332,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_243 ),
inference(resolution,[],[f4274,f4712]) ).
fof(f28758,plain,
( spl5_1031
| ~ spl5_131
| ~ spl5_217
| ~ spl5_242 ),
inference(avatar_split_clause,[],[f7437,f4707,f4273,f1358,f28756]) ).
fof(f28756,plain,
( spl5_1031
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1031])]) ).
fof(f7437,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_217
| ~ spl5_242 ),
inference(forward_demodulation,[],[f7331,f7264]) ).
fof(f7264,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_131
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1359]) ).
fof(f7331,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_242 ),
inference(resolution,[],[f4274,f4708]) ).
fof(f28754,plain,
( spl5_1030
| ~ spl5_130
| ~ spl5_217
| ~ spl5_241 ),
inference(avatar_split_clause,[],[f7436,f4703,f4273,f1354,f28752]) ).
fof(f28752,plain,
( spl5_1030
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1030])]) ).
fof(f7436,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_217
| ~ spl5_241 ),
inference(forward_demodulation,[],[f7330,f7263]) ).
fof(f7263,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_130
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1355]) ).
fof(f7330,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_241 ),
inference(resolution,[],[f4274,f4704]) ).
fof(f28750,plain,
( spl5_1029
| ~ spl5_18
| ~ spl5_60
| ~ spl5_86
| ~ spl5_264
| ~ spl5_619 ),
inference(avatar_split_clause,[],[f16699,f15046,f5246,f717,f529,f315,f28747]) ).
fof(f28747,plain,
( spl5_1029
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1029])]) ).
fof(f15046,plain,
( spl5_619
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_619])]) ).
fof(f16699,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_86
| ~ spl5_264
| ~ spl5_619 ),
inference(forward_demodulation,[],[f16698,f1148]) ).
fof(f16698,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_619 ),
inference(forward_demodulation,[],[f16671,f5248]) ).
fof(f16671,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_619 ),
inference(resolution,[],[f15047,f317]) ).
fof(f15047,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE))) )
| ~ spl5_619 ),
inference(avatar_component_clause,[],[f15046]) ).
fof(f28745,plain,
( spl5_1028
| ~ spl5_129
| ~ spl5_217
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f7435,f4699,f4273,f1350,f28743]) ).
fof(f28743,plain,
( spl5_1028
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1028])]) ).
fof(f7435,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_217
| ~ spl5_240 ),
inference(forward_demodulation,[],[f7329,f7262]) ).
fof(f7262,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_129
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1351]) ).
fof(f7329,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_240 ),
inference(resolution,[],[f4274,f4700]) ).
fof(f28741,plain,
( spl5_1027
| ~ spl5_128
| ~ spl5_217
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f7434,f4695,f4273,f1346,f28739]) ).
fof(f28739,plain,
( spl5_1027
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1027])]) ).
fof(f7434,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_217
| ~ spl5_239 ),
inference(forward_demodulation,[],[f7328,f7261]) ).
fof(f7261,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_128
| ~ spl5_217 ),
inference(resolution,[],[f4274,f1347]) ).
fof(f7328,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = sdtpldt0(X0,sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA))
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_239 ),
inference(resolution,[],[f4274,f4696]) ).
fof(f28737,plain,
( spl5_1026
| ~ spl5_217
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f7354,f5519,f4273,f28735]) ).
fof(f28735,plain,
( spl5_1026
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1026])]) ).
fof(f7354,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) )
| ~ spl5_217
| ~ spl5_268 ),
inference(resolution,[],[f4274,f5520]) ).
fof(f28677,plain,
( spl5_1025
| ~ spl5_61
| ~ spl5_390
| ~ spl5_1024 ),
inference(avatar_split_clause,[],[f28673,f28670,f9231,f533,f28675]) ).
fof(f28675,plain,
( spl5_1025
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1025])]) ).
fof(f28670,plain,
( spl5_1024
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1024])]) ).
fof(f28673,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_390
| ~ spl5_1024 ),
inference(forward_demodulation,[],[f28671,f9239]) ).
fof(f9239,plain,
( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_61
| ~ spl5_390 ),
inference(resolution,[],[f9233,f534]) ).
fof(f28671,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) )
| ~ spl5_1024 ),
inference(avatar_component_clause,[],[f28670]) ).
fof(f28672,plain,
( spl5_1024
| ~ spl5_217
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f7353,f5515,f4273,f28670]) ).
fof(f7353,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) = smndt0(sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) )
| ~ spl5_217
| ~ spl5_267 ),
inference(resolution,[],[f4274,f5516]) ).
fof(f28614,plain,
( spl5_1023
| ~ spl5_61
| ~ spl5_390
| ~ spl5_1022 ),
inference(avatar_split_clause,[],[f28610,f28607,f9231,f533,f28612]) ).
fof(f28612,plain,
( spl5_1023
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1023])]) ).
fof(f28607,plain,
( spl5_1022
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1022])]) ).
fof(f28610,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_390
| ~ spl5_1022 ),
inference(forward_demodulation,[],[f28608,f9239]) ).
fof(f28608,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) )
| ~ spl5_1022 ),
inference(avatar_component_clause,[],[f28607]) ).
fof(f28609,plain,
( spl5_1022
| ~ spl5_217
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f7352,f5506,f4273,f28607]) ).
fof(f7352,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))) )
| ~ spl5_217
| ~ spl5_265 ),
inference(resolution,[],[f4274,f5507]) ).
fof(f28596,plain,
( spl5_1021
| ~ spl5_18
| ~ spl5_60
| ~ spl5_79
| ~ spl5_272
| ~ spl5_618 ),
inference(avatar_split_clause,[],[f16663,f15042,f5686,f645,f529,f315,f28593]) ).
fof(f28593,plain,
( spl5_1021
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1021])]) ).
fof(f645,plain,
( spl5_79
<=> sP2(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f15042,plain,
( spl5_618
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_618])]) ).
fof(f16663,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_79
| ~ spl5_272
| ~ spl5_618 ),
inference(forward_demodulation,[],[f16662,f1141]) ).
fof(f1141,plain,
( sz0z00 = sdtasdt0(sz0z00,xP)
| ~ spl5_60
| ~ spl5_79 ),
inference(resolution,[],[f647,f530]) ).
fof(f647,plain,
( sP2(xP)
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f16662,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_618 ),
inference(forward_demodulation,[],[f16635,f5688]) ).
fof(f16635,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_618 ),
inference(resolution,[],[f15043,f317]) ).
fof(f15043,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD))) )
| ~ spl5_618 ),
inference(avatar_component_clause,[],[f15042]) ).
fof(f28591,plain,
( spl5_1020
| ~ spl5_22
| ~ spl5_123 ),
inference(avatar_split_clause,[],[f1283,f1280,f335,f28589]) ).
fof(f28589,plain,
( spl5_1020
<=> ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1020])]) ).
fof(f335,plain,
( spl5_22
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f1280,plain,
( spl5_123
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f1283,plain,
( ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) )
| ~ spl5_22
| ~ spl5_123 ),
inference(resolution,[],[f1281,f336]) ).
fof(f336,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f1281,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_123 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f28586,plain,
( spl5_1019
| ~ spl5_65
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1170,f1160,f554,f28583]) ).
fof(f28583,plain,
( spl5_1019
<=> sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1019])]) ).
fof(f554,plain,
( spl5_65
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f1160,plain,
( spl5_106
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f1170,plain,
( sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00)
| ~ spl5_65
| ~ spl5_106 ),
inference(resolution,[],[f1162,f555]) ).
fof(f555,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f1162,plain,
( sP2(sz0z00)
| ~ spl5_106 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f28580,plain,
( spl5_1018
| ~ spl5_64
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1169,f1160,f550,f28577]) ).
fof(f28577,plain,
( spl5_1018
<=> sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1018])]) ).
fof(f550,plain,
( spl5_64
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f1169,plain,
( sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00))
| ~ spl5_64
| ~ spl5_106 ),
inference(resolution,[],[f1162,f551]) ).
fof(f551,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f28143,plain,
( spl5_1017
| ~ spl5_18
| ~ spl5_60
| ~ spl5_79
| ~ spl5_264
| ~ spl5_617 ),
inference(avatar_split_clause,[],[f16624,f15038,f5246,f645,f529,f315,f28140]) ).
fof(f28140,plain,
( spl5_1017
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1017])]) ).
fof(f15038,plain,
( spl5_617
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_617])]) ).
fof(f16624,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_79
| ~ spl5_264
| ~ spl5_617 ),
inference(forward_demodulation,[],[f16623,f1141]) ).
fof(f16623,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_617 ),
inference(forward_demodulation,[],[f16596,f5248]) ).
fof(f16596,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_617 ),
inference(resolution,[],[f15039,f317]) ).
fof(f15039,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE))) )
| ~ spl5_617 ),
inference(avatar_component_clause,[],[f15038]) ).
fof(f27946,plain,
( spl5_1016
| ~ spl5_18
| ~ spl5_60
| ~ spl5_73
| ~ spl5_272
| ~ spl5_616 ),
inference(avatar_split_clause,[],[f16588,f15034,f5686,f608,f529,f315,f27943]) ).
fof(f27943,plain,
( spl5_1016
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1016])]) ).
fof(f608,plain,
( spl5_73
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f15034,plain,
( spl5_616
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_616])]) ).
fof(f16588,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_73
| ~ spl5_272
| ~ spl5_616 ),
inference(forward_demodulation,[],[f16587,f1134]) ).
fof(f1134,plain,
( sz0z00 = sdtasdt0(sz0z00,xR)
| ~ spl5_60
| ~ spl5_73 ),
inference(resolution,[],[f610,f530]) ).
fof(f610,plain,
( sP2(xR)
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f16587,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_616 ),
inference(forward_demodulation,[],[f16560,f5688]) ).
fof(f16560,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_616 ),
inference(resolution,[],[f15035,f317]) ).
fof(f15035,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD))) )
| ~ spl5_616 ),
inference(avatar_component_clause,[],[f15034]) ).
fof(f27841,plain,
( spl5_1015
| ~ spl5_18
| ~ spl5_60
| ~ spl5_73
| ~ spl5_264
| ~ spl5_615 ),
inference(avatar_split_clause,[],[f16554,f15030,f5246,f608,f529,f315,f27838]) ).
fof(f27838,plain,
( spl5_1015
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1015])]) ).
fof(f15030,plain,
( spl5_615
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_615])]) ).
fof(f16554,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_73
| ~ spl5_264
| ~ spl5_615 ),
inference(forward_demodulation,[],[f16553,f1134]) ).
fof(f16553,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_615 ),
inference(forward_demodulation,[],[f16526,f5248]) ).
fof(f16526,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_615 ),
inference(resolution,[],[f15031,f317]) ).
fof(f15031,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE))) )
| ~ spl5_615 ),
inference(avatar_component_clause,[],[f15030]) ).
fof(f27736,plain,
( spl5_1014
| ~ spl5_18
| ~ spl5_60
| ~ spl5_70
| ~ spl5_272
| ~ spl5_614 ),
inference(avatar_split_clause,[],[f16518,f15026,f5686,f574,f529,f315,f27733]) ).
fof(f27733,plain,
( spl5_1014
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1014])]) ).
fof(f574,plain,
( spl5_70
<=> sP2(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f15026,plain,
( spl5_614
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_614])]) ).
fof(f16518,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_70
| ~ spl5_272
| ~ spl5_614 ),
inference(forward_demodulation,[],[f16517,f1127]) ).
fof(f1127,plain,
( sz0z00 = sdtasdt0(sz0z00,xH)
| ~ spl5_60
| ~ spl5_70 ),
inference(resolution,[],[f576,f530]) ).
fof(f576,plain,
( sP2(xH)
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f16517,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_614 ),
inference(forward_demodulation,[],[f16490,f5688]) ).
fof(f16490,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_614 ),
inference(resolution,[],[f15027,f317]) ).
fof(f15027,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD))) )
| ~ spl5_614 ),
inference(avatar_component_clause,[],[f15026]) ).
fof(f27181,plain,
( spl5_1013
| ~ spl5_4
| ~ spl5_225 ),
inference(avatar_split_clause,[],[f4451,f4447,f245,f27178]) ).
fof(f27178,plain,
( spl5_1013
<=> aScalar0(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1013])]) ).
fof(f245,plain,
( spl5_4
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f4447,plain,
( spl5_225
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_225])]) ).
fof(f4451,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_225 ),
inference(equality_resolution,[],[f4448]) ).
fof(f4448,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) )
| ~ spl5_225 ),
inference(avatar_component_clause,[],[f4447]) ).
fof(f26656,plain,
( spl5_1012
| ~ spl5_4
| ~ spl5_224 ),
inference(avatar_split_clause,[],[f4444,f4440,f245,f26653]) ).
fof(f26653,plain,
( spl5_1012
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1012])]) ).
fof(f4440,plain,
( spl5_224
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_224])]) ).
fof(f4444,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_224 ),
inference(equality_resolution,[],[f4441]) ).
fof(f4441,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) )
| ~ spl5_224 ),
inference(avatar_component_clause,[],[f4440]) ).
fof(f26651,plain,
( spl5_1011
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_88
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f3548,f3128,f818,f529,f476,f315,f26648]) ).
fof(f26648,plain,
( spl5_1011
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1011])]) ).
fof(f476,plain,
( spl5_49
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f3128,plain,
( spl5_179
<=> ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_179])]) ).
fof(f3548,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_88
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3547,f1155]) ).
fof(f3547,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3529,f478]) ).
fof(f478,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f3529,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN))
| ~ spl5_18
| ~ spl5_179 ),
inference(resolution,[],[f3129,f317]) ).
fof(f3129,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN)) )
| ~ spl5_179 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f26646,plain,
( spl5_1010
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_86
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3524,f3124,f717,f529,f476,f315,f26643]) ).
fof(f26643,plain,
( spl5_1010
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1010])]) ).
fof(f3124,plain,
( spl5_178
<=> ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_178])]) ).
fof(f3524,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_86
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3523,f1148]) ).
fof(f3523,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3505,f478]) ).
fof(f3505,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS))
| ~ spl5_18
| ~ spl5_178 ),
inference(resolution,[],[f3125,f317]) ).
fof(f3125,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS)) )
| ~ spl5_178 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f26641,plain,
( spl5_1009
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_79
| ~ spl5_177 ),
inference(avatar_split_clause,[],[f3502,f3120,f645,f529,f476,f315,f26638]) ).
fof(f26638,plain,
( spl5_1009
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1009])]) ).
fof(f3120,plain,
( spl5_177
<=> ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_177])]) ).
fof(f3502,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_79
| ~ spl5_177 ),
inference(forward_demodulation,[],[f3501,f1141]) ).
fof(f3501,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_177 ),
inference(forward_demodulation,[],[f3483,f478]) ).
fof(f3483,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(smndt0(sz0z00),smndt0(xP))
| ~ spl5_18
| ~ spl5_177 ),
inference(resolution,[],[f3121,f317]) ).
fof(f3121,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP)) )
| ~ spl5_177 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f26636,plain,
( spl5_1008
| ~ spl5_18
| ~ spl5_60
| ~ spl5_70
| ~ spl5_264
| ~ spl5_613 ),
inference(avatar_split_clause,[],[f16484,f15022,f5246,f574,f529,f315,f26633]) ).
fof(f26633,plain,
( spl5_1008
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1008])]) ).
fof(f15022,plain,
( spl5_613
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_613])]) ).
fof(f16484,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_70
| ~ spl5_264
| ~ spl5_613 ),
inference(forward_demodulation,[],[f16483,f1127]) ).
fof(f16483,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_613 ),
inference(forward_demodulation,[],[f16456,f5248]) ).
fof(f16456,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_613 ),
inference(resolution,[],[f15023,f317]) ).
fof(f15023,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE))) )
| ~ spl5_613 ),
inference(avatar_component_clause,[],[f15022]) ).
fof(f26631,plain,
( spl5_1007
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_73
| ~ spl5_176 ),
inference(avatar_split_clause,[],[f3473,f3116,f608,f529,f476,f315,f26628]) ).
fof(f26628,plain,
( spl5_1007
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1007])]) ).
fof(f3116,plain,
( spl5_176
<=> ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_176])]) ).
fof(f3473,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_73
| ~ spl5_176 ),
inference(forward_demodulation,[],[f3472,f1134]) ).
fof(f3472,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_176 ),
inference(forward_demodulation,[],[f3454,f478]) ).
fof(f3454,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR))
| ~ spl5_18
| ~ spl5_176 ),
inference(resolution,[],[f3117,f317]) ).
fof(f3117,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR)) )
| ~ spl5_176 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f26626,plain,
( spl5_1006
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_70
| ~ spl5_175 ),
inference(avatar_split_clause,[],[f3452,f3112,f574,f529,f476,f315,f26623]) ).
fof(f26623,plain,
( spl5_1006
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1006])]) ).
fof(f3112,plain,
( spl5_175
<=> ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_175])]) ).
fof(f3452,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_70
| ~ spl5_175 ),
inference(forward_demodulation,[],[f3451,f1127]) ).
fof(f3451,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_175 ),
inference(forward_demodulation,[],[f3433,f478]) ).
fof(f3433,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(smndt0(sz0z00),smndt0(xH))
| ~ spl5_18
| ~ spl5_175 ),
inference(resolution,[],[f3113,f317]) ).
fof(f3113,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH)) )
| ~ spl5_175 ),
inference(avatar_component_clause,[],[f3112]) ).
fof(f26621,plain,
( spl5_1005
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_62
| ~ spl5_174 ),
inference(avatar_split_clause,[],[f3423,f3108,f541,f529,f476,f315,f26618]) ).
fof(f26618,plain,
( spl5_1005
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1005])]) ).
fof(f541,plain,
( spl5_62
<=> sP2(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f3108,plain,
( spl5_174
<=> ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_174])]) ).
fof(f3423,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_60
| ~ spl5_62
| ~ spl5_174 ),
inference(forward_demodulation,[],[f3422,f1120]) ).
fof(f1120,plain,
( sz0z00 = sdtasdt0(sz0z00,xG)
| ~ spl5_60
| ~ spl5_62 ),
inference(resolution,[],[f543,f530]) ).
fof(f543,plain,
( sP2(xG)
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f3422,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_174 ),
inference(forward_demodulation,[],[f3404,f478]) ).
fof(f3404,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(smndt0(sz0z00),smndt0(xG))
| ~ spl5_18
| ~ spl5_174 ),
inference(resolution,[],[f3109,f317]) ).
fof(f3109,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG)) )
| ~ spl5_174 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f26616,plain,
( spl5_1004
| ~ spl5_18
| ~ spl5_49
| ~ spl5_55
| ~ spl5_60
| ~ spl5_173 ),
inference(avatar_split_clause,[],[f3393,f3104,f529,f508,f476,f315,f26613]) ).
fof(f26613,plain,
( spl5_1004
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1004])]) ).
fof(f508,plain,
( spl5_55
<=> sP2(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f3104,plain,
( spl5_173
<=> ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f3393,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_55
| ~ spl5_60
| ~ spl5_173 ),
inference(forward_demodulation,[],[f3392,f1113]) ).
fof(f1113,plain,
( sz0z00 = sdtasdt0(sz0z00,xF)
| ~ spl5_55
| ~ spl5_60 ),
inference(resolution,[],[f510,f530]) ).
fof(f510,plain,
( sP2(xF)
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f3392,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_173 ),
inference(forward_demodulation,[],[f3374,f478]) ).
fof(f3374,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(smndt0(sz0z00),smndt0(xF))
| ~ spl5_18
| ~ spl5_173 ),
inference(resolution,[],[f3105,f317]) ).
fof(f3105,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF)) )
| ~ spl5_173 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f26611,plain,
( spl5_1003
| ~ spl5_18
| ~ spl5_49
| ~ spl5_50
| ~ spl5_60
| ~ spl5_171 ),
inference(avatar_split_clause,[],[f3372,f3095,f529,f481,f476,f315,f26608]) ).
fof(f26608,plain,
( spl5_1003
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1003])]) ).
fof(f481,plain,
( spl5_50
<=> sP2(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f3095,plain,
( spl5_171
<=> ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f3372,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_50
| ~ spl5_60
| ~ spl5_171 ),
inference(forward_demodulation,[],[f3371,f1106]) ).
fof(f1106,plain,
( sz0z00 = sdtasdt0(sz0z00,xE)
| ~ spl5_50
| ~ spl5_60 ),
inference(resolution,[],[f483,f530]) ).
fof(f483,plain,
( sP2(xE)
| ~ spl5_50 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f3371,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_171 ),
inference(forward_demodulation,[],[f3353,f478]) ).
fof(f3353,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(smndt0(sz0z00),smndt0(xE))
| ~ spl5_18
| ~ spl5_171 ),
inference(resolution,[],[f3096,f317]) ).
fof(f3096,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE)) )
| ~ spl5_171 ),
inference(avatar_component_clause,[],[f3095]) ).
fof(f26606,plain,
( spl5_1002
| ~ spl5_18
| ~ spl5_42
| ~ spl5_49
| ~ spl5_60
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3346,f3091,f529,f476,f445,f315,f26603]) ).
fof(f26603,plain,
( spl5_1002
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1002])]) ).
fof(f445,plain,
( spl5_42
<=> sP2(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f3091,plain,
( spl5_170
<=> ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f3346,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_18
| ~ spl5_42
| ~ spl5_49
| ~ spl5_60
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3345,f1099]) ).
fof(f1099,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_42
| ~ spl5_60 ),
inference(resolution,[],[f447,f530]) ).
fof(f447,plain,
( sP2(xD)
| ~ spl5_42 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f3345,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3327,f478]) ).
fof(f3327,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(smndt0(sz0z00),smndt0(xD))
| ~ spl5_18
| ~ spl5_170 ),
inference(resolution,[],[f3092,f317]) ).
fof(f3092,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD)) )
| ~ spl5_170 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f26601,plain,
( spl5_1001
| ~ spl5_18
| ~ spl5_49
| ~ spl5_169
| ~ spl5_194 ),
inference(avatar_split_clause,[],[f3319,f3189,f3087,f476,f315,f26598]) ).
fof(f26598,plain,
( spl5_1001
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1001])]) ).
fof(f3087,plain,
( spl5_169
<=> ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f3189,plain,
( spl5_194
<=> sz0z00 = sdtasdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_194])]) ).
fof(f3319,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_169
| ~ spl5_194 ),
inference(forward_demodulation,[],[f3318,f3191]) ).
fof(f3191,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_194 ),
inference(avatar_component_clause,[],[f3189]) ).
fof(f3318,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_169 ),
inference(forward_demodulation,[],[f3300,f478]) ).
fof(f3300,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(smndt0(sz0z00),smndt0(xC))
| ~ spl5_18
| ~ spl5_169 ),
inference(resolution,[],[f3088,f317]) ).
fof(f3088,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC)) )
| ~ spl5_169 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f26596,plain,
( spl5_1000
| ~ spl5_18
| ~ spl5_49
| ~ spl5_163
| ~ spl5_168 ),
inference(avatar_split_clause,[],[f3290,f3083,f2549,f476,f315,f26593]) ).
fof(f26593,plain,
( spl5_1000
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1000])]) ).
fof(f2549,plain,
( spl5_163
<=> sz0z00 = sdtasdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f3083,plain,
( spl5_168
<=> ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f3290,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_163
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3289,f2551]) ).
fof(f2551,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_163 ),
inference(avatar_component_clause,[],[f2549]) ).
fof(f3289,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3271,f478]) ).
fof(f3271,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(smndt0(sz0z00),smndt0(xB))
| ~ spl5_18
| ~ spl5_168 ),
inference(resolution,[],[f3084,f317]) ).
fof(f3084,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB)) )
| ~ spl5_168 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f26591,plain,
( spl5_999
| ~ spl5_18
| ~ spl5_49
| ~ spl5_154
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3261,f3079,f1471,f476,f315,f26588]) ).
fof(f26588,plain,
( spl5_999
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_999])]) ).
fof(f1471,plain,
( spl5_154
<=> sz0z00 = sdtasdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f3079,plain,
( spl5_167
<=> ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f3261,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_154
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3260,f1473]) ).
fof(f1473,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_154 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f3260,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3242,f478]) ).
fof(f3242,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(smndt0(sz0z00),smndt0(xA))
| ~ spl5_18
| ~ spl5_167 ),
inference(resolution,[],[f3080,f317]) ).
fof(f3080,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA)) )
| ~ spl5_167 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f26586,plain,
( spl5_998
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3046,f2012,f818,f525,f250,f26583]) ).
fof(f26583,plain,
( spl5_998
<=> sz0z00 = sdtasdt0(smndt0(xN),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_998])]) ).
fof(f250,plain,
( spl5_5
<=> aScalar0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f525,plain,
( spl5_59
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f2012,plain,
( spl5_160
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f3046,plain,
( sz0z00 = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3034,f1154]) ).
fof(f1154,plain,
( sz0z00 = sdtasdt0(xN,sz0z00)
| ~ spl5_59
| ~ spl5_88 ),
inference(resolution,[],[f820,f526]) ).
fof(f526,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f3034,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_5
| ~ spl5_160 ),
inference(resolution,[],[f2013,f252]) ).
fof(f252,plain,
( aScalar0(xN)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f2013,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl5_160 ),
inference(avatar_component_clause,[],[f2012]) ).
fof(f26581,plain,
( spl5_997
| ~ spl5_18
| ~ spl5_60
| ~ spl5_62
| ~ spl5_272
| ~ spl5_612 ),
inference(avatar_split_clause,[],[f16448,f15018,f5686,f541,f529,f315,f26578]) ).
fof(f26578,plain,
( spl5_997
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_997])]) ).
fof(f15018,plain,
( spl5_612
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_612])]) ).
fof(f16448,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_62
| ~ spl5_272
| ~ spl5_612 ),
inference(forward_demodulation,[],[f16447,f1120]) ).
fof(f16447,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_612 ),
inference(forward_demodulation,[],[f16420,f5688]) ).
fof(f16420,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_612 ),
inference(resolution,[],[f15019,f317]) ).
fof(f15019,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD))) )
| ~ spl5_612 ),
inference(avatar_component_clause,[],[f15018]) ).
fof(f26576,plain,
( spl5_996
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3045,f2012,f717,f525,f275,f26573]) ).
fof(f26573,plain,
( spl5_996
<=> sz0z00 = sdtasdt0(smndt0(xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_996])]) ).
fof(f275,plain,
( spl5_10
<=> aScalar0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f3045,plain,
( sz0z00 = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3033,f1147]) ).
fof(f1147,plain,
( sz0z00 = sdtasdt0(xS,sz0z00)
| ~ spl5_59
| ~ spl5_86 ),
inference(resolution,[],[f719,f526]) ).
fof(f3033,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_10
| ~ spl5_160 ),
inference(resolution,[],[f2013,f277]) ).
fof(f277,plain,
( aScalar0(xS)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f26571,plain,
( spl5_995
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3044,f2012,f645,f525,f295,f26568]) ).
fof(f26568,plain,
( spl5_995
<=> sz0z00 = sdtasdt0(smndt0(xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_995])]) ).
fof(f295,plain,
( spl5_14
<=> aScalar0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f3044,plain,
( sz0z00 = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3032,f1140]) ).
fof(f1140,plain,
( sz0z00 = sdtasdt0(xP,sz0z00)
| ~ spl5_59
| ~ spl5_79 ),
inference(resolution,[],[f647,f526]) ).
fof(f3032,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_160 ),
inference(resolution,[],[f2013,f297]) ).
fof(f297,plain,
( aScalar0(xP)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f26566,plain,
( spl5_994
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3043,f2012,f608,f525,f280,f26563]) ).
fof(f26563,plain,
( spl5_994
<=> sz0z00 = sdtasdt0(smndt0(xR),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_994])]) ).
fof(f280,plain,
( spl5_11
<=> aScalar0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f3043,plain,
( sz0z00 = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3031,f1133]) ).
fof(f1133,plain,
( sz0z00 = sdtasdt0(xR,sz0z00)
| ~ spl5_59
| ~ spl5_73 ),
inference(resolution,[],[f610,f526]) ).
fof(f3031,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_11
| ~ spl5_160 ),
inference(resolution,[],[f2013,f282]) ).
fof(f282,plain,
( aScalar0(xR)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f26561,plain,
( spl5_993
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3042,f2012,f574,f525,f305,f26558]) ).
fof(f26558,plain,
( spl5_993
<=> sz0z00 = sdtasdt0(smndt0(xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_993])]) ).
fof(f305,plain,
( spl5_16
<=> aScalar0(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f3042,plain,
( sz0z00 = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3030,f1126]) ).
fof(f1126,plain,
( sz0z00 = sdtasdt0(xH,sz0z00)
| ~ spl5_59
| ~ spl5_70 ),
inference(resolution,[],[f576,f526]) ).
fof(f3030,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_16
| ~ spl5_160 ),
inference(resolution,[],[f2013,f307]) ).
fof(f307,plain,
( aScalar0(xH)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f26556,plain,
( spl5_992
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3041,f2012,f541,f525,f255,f26553]) ).
fof(f26553,plain,
( spl5_992
<=> sz0z00 = sdtasdt0(smndt0(xG),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_992])]) ).
fof(f255,plain,
( spl5_6
<=> aScalar0(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f3041,plain,
( sz0z00 = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3029,f1119]) ).
fof(f1119,plain,
( sz0z00 = sdtasdt0(xG,sz0z00)
| ~ spl5_59
| ~ spl5_62 ),
inference(resolution,[],[f543,f526]) ).
fof(f3029,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_160 ),
inference(resolution,[],[f2013,f257]) ).
fof(f257,plain,
( aScalar0(xG)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f26551,plain,
( spl5_991
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3040,f2012,f525,f508,f260,f26548]) ).
fof(f26548,plain,
( spl5_991
<=> sz0z00 = sdtasdt0(smndt0(xF),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_991])]) ).
fof(f260,plain,
( spl5_7
<=> aScalar0(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f3040,plain,
( sz0z00 = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3028,f1112]) ).
fof(f1112,plain,
( sz0z00 = sdtasdt0(xF,sz0z00)
| ~ spl5_55
| ~ spl5_59 ),
inference(resolution,[],[f510,f526]) ).
fof(f3028,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_7
| ~ spl5_160 ),
inference(resolution,[],[f2013,f262]) ).
fof(f262,plain,
( aScalar0(xF)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f26546,plain,
( spl5_990
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3039,f2012,f525,f481,f300,f26543]) ).
fof(f26543,plain,
( spl5_990
<=> sz0z00 = sdtasdt0(smndt0(xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_990])]) ).
fof(f300,plain,
( spl5_15
<=> aScalar0(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f3039,plain,
( sz0z00 = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3027,f1105]) ).
fof(f1105,plain,
( sz0z00 = sdtasdt0(xE,sz0z00)
| ~ spl5_50
| ~ spl5_59 ),
inference(resolution,[],[f483,f526]) ).
fof(f3027,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_160 ),
inference(resolution,[],[f2013,f302]) ).
fof(f302,plain,
( aScalar0(xE)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f26541,plain,
( spl5_989
| ~ spl5_9
| ~ spl5_42
| ~ spl5_59
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3038,f2012,f525,f445,f270,f26538]) ).
fof(f26538,plain,
( spl5_989
<=> sz0z00 = sdtasdt0(smndt0(xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_989])]) ).
fof(f270,plain,
( spl5_9
<=> aScalar0(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f3038,plain,
( sz0z00 = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_42
| ~ spl5_59
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3026,f1098]) ).
fof(f1098,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_42
| ~ spl5_59 ),
inference(resolution,[],[f447,f526]) ).
fof(f3026,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_160 ),
inference(resolution,[],[f2013,f272]) ).
fof(f272,plain,
( aScalar0(xD)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f26536,plain,
( spl5_988
| ~ spl5_8
| ~ spl5_36
| ~ spl5_59
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3037,f2012,f525,f418,f265,f26533]) ).
fof(f26533,plain,
( spl5_988
<=> sz0z00 = sdtasdt0(smndt0(xC),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_988])]) ).
fof(f265,plain,
( spl5_8
<=> aScalar0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f418,plain,
( spl5_36
<=> sP2(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f3037,plain,
( sz0z00 = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_8
| ~ spl5_36
| ~ spl5_59
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3025,f1050]) ).
fof(f1050,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_36
| ~ spl5_59 ),
inference(resolution,[],[f420,f526]) ).
fof(f420,plain,
( sP2(xC)
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f3025,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_8
| ~ spl5_160 ),
inference(resolution,[],[f2013,f267]) ).
fof(f267,plain,
( aScalar0(xC)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f26531,plain,
( spl5_987
| ~ spl5_12
| ~ spl5_160
| ~ spl5_162 ),
inference(avatar_split_clause,[],[f3036,f2395,f2012,f285,f26528]) ).
fof(f26528,plain,
( spl5_987
<=> sz0z00 = sdtasdt0(smndt0(xB),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_987])]) ).
fof(f285,plain,
( spl5_12
<=> aScalar0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f2395,plain,
( spl5_162
<=> sz0z00 = sdtasdt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f3036,plain,
( sz0z00 = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_12
| ~ spl5_160
| ~ spl5_162 ),
inference(forward_demodulation,[],[f3024,f2397]) ).
fof(f2397,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_162 ),
inference(avatar_component_clause,[],[f2395]) ).
fof(f3024,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_12
| ~ spl5_160 ),
inference(resolution,[],[f2013,f287]) ).
fof(f287,plain,
( aScalar0(xB)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f26526,plain,
( spl5_986
| ~ spl5_18
| ~ spl5_60
| ~ spl5_62
| ~ spl5_264
| ~ spl5_611 ),
inference(avatar_split_clause,[],[f16414,f15014,f5246,f541,f529,f315,f26523]) ).
fof(f26523,plain,
( spl5_986
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_986])]) ).
fof(f15014,plain,
( spl5_611
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_611])]) ).
fof(f16414,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_60
| ~ spl5_62
| ~ spl5_264
| ~ spl5_611 ),
inference(forward_demodulation,[],[f16413,f1120]) ).
fof(f16413,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_611 ),
inference(forward_demodulation,[],[f16386,f5248]) ).
fof(f16386,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_611 ),
inference(resolution,[],[f15015,f317]) ).
fof(f15015,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE))) )
| ~ spl5_611 ),
inference(avatar_component_clause,[],[f15014]) ).
fof(f26521,plain,
( spl5_985
| ~ spl5_13
| ~ spl5_144
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3035,f2012,f1411,f290,f26518]) ).
fof(f26518,plain,
( spl5_985
<=> sz0z00 = sdtasdt0(smndt0(xA),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_985])]) ).
fof(f290,plain,
( spl5_13
<=> aScalar0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1411,plain,
( spl5_144
<=> sz0z00 = sdtasdt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f3035,plain,
( sz0z00 = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_13
| ~ spl5_144
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3023,f1413]) ).
fof(f1413,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_144 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f3023,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_13
| ~ spl5_160 ),
inference(resolution,[],[f2013,f292]) ).
fof(f292,plain,
( aScalar0(xA)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f26516,plain,
( spl5_984
| ~ spl5_23
| ~ spl5_72
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1278,f1199,f602,f352,f26513]) ).
fof(f26513,plain,
( spl5_984
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_984])]) ).
fof(f352,plain,
( spl5_23
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f602,plain,
( spl5_72
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f1199,plain,
( spl5_112
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1278,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_23
| ~ spl5_72
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1275,f354]) ).
fof(f354,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1275,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_72
| ~ spl5_112 ),
inference(resolution,[],[f1201,f603]) ).
fof(f603,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) )
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1201,plain,
( sP0(xs,xp)
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f26511,plain,
( spl5_983
| ~ spl5_72
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1252,f1190,f602,f26508]) ).
fof(f26508,plain,
( spl5_983
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_983])]) ).
fof(f1190,plain,
( spl5_110
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f1252,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_72
| ~ spl5_110 ),
inference(resolution,[],[f1192,f603]) ).
fof(f1192,plain,
( sP0(xt,xq)
| ~ spl5_110 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f26506,plain,
( spl5_982
| ~ spl5_65
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1158,f818,f554,f26503]) ).
fof(f26503,plain,
( spl5_982
<=> sz0z00 = sdtpldt0(smndt0(xN),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_982])]) ).
fof(f1158,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl5_65
| ~ spl5_88 ),
inference(resolution,[],[f820,f555]) ).
fof(f26501,plain,
( spl5_981
| ~ spl5_64
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1157,f818,f550,f26498]) ).
fof(f26498,plain,
( spl5_981
<=> sz0z00 = sdtpldt0(xN,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_981])]) ).
fof(f1157,plain,
( sz0z00 = sdtpldt0(xN,smndt0(xN))
| ~ spl5_64
| ~ spl5_88 ),
inference(resolution,[],[f820,f551]) ).
fof(f26496,plain,
( spl5_980
| ~ spl5_65
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1151,f717,f554,f26493]) ).
fof(f26493,plain,
( spl5_980
<=> sz0z00 = sdtpldt0(smndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_980])]) ).
fof(f1151,plain,
( sz0z00 = sdtpldt0(smndt0(xS),xS)
| ~ spl5_65
| ~ spl5_86 ),
inference(resolution,[],[f719,f555]) ).
fof(f26491,plain,
( spl5_979
| ~ spl5_64
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1150,f717,f550,f26488]) ).
fof(f26488,plain,
( spl5_979
<=> sz0z00 = sdtpldt0(xS,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_979])]) ).
fof(f1150,plain,
( sz0z00 = sdtpldt0(xS,smndt0(xS))
| ~ spl5_64
| ~ spl5_86 ),
inference(resolution,[],[f719,f551]) ).
fof(f26486,plain,
( spl5_978
| ~ spl5_65
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1144,f645,f554,f26483]) ).
fof(f26483,plain,
( spl5_978
<=> sz0z00 = sdtpldt0(smndt0(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_978])]) ).
fof(f1144,plain,
( sz0z00 = sdtpldt0(smndt0(xP),xP)
| ~ spl5_65
| ~ spl5_79 ),
inference(resolution,[],[f647,f555]) ).
fof(f26481,plain,
( spl5_977
| ~ spl5_64
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1143,f645,f550,f26478]) ).
fof(f26478,plain,
( spl5_977
<=> sz0z00 = sdtpldt0(xP,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_977])]) ).
fof(f1143,plain,
( sz0z00 = sdtpldt0(xP,smndt0(xP))
| ~ spl5_64
| ~ spl5_79 ),
inference(resolution,[],[f647,f551]) ).
fof(f26476,plain,
( spl5_976
| ~ spl5_65
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1137,f608,f554,f26473]) ).
fof(f26473,plain,
( spl5_976
<=> sz0z00 = sdtpldt0(smndt0(xR),xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_976])]) ).
fof(f1137,plain,
( sz0z00 = sdtpldt0(smndt0(xR),xR)
| ~ spl5_65
| ~ spl5_73 ),
inference(resolution,[],[f610,f555]) ).
fof(f26471,plain,
( spl5_975
| ~ spl5_18
| ~ spl5_55
| ~ spl5_60
| ~ spl5_272
| ~ spl5_610 ),
inference(avatar_split_clause,[],[f16378,f15010,f5686,f529,f508,f315,f26468]) ).
fof(f26468,plain,
( spl5_975
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_975])]) ).
fof(f15010,plain,
( spl5_610
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_610])]) ).
fof(f16378,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_55
| ~ spl5_60
| ~ spl5_272
| ~ spl5_610 ),
inference(forward_demodulation,[],[f16377,f1113]) ).
fof(f16377,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_610 ),
inference(forward_demodulation,[],[f16350,f5688]) ).
fof(f16350,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_610 ),
inference(resolution,[],[f15011,f317]) ).
fof(f15011,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD))) )
| ~ spl5_610 ),
inference(avatar_component_clause,[],[f15010]) ).
fof(f26466,plain,
( spl5_974
| ~ spl5_64
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1136,f608,f550,f26463]) ).
fof(f26463,plain,
( spl5_974
<=> sz0z00 = sdtpldt0(xR,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_974])]) ).
fof(f1136,plain,
( sz0z00 = sdtpldt0(xR,smndt0(xR))
| ~ spl5_64
| ~ spl5_73 ),
inference(resolution,[],[f610,f551]) ).
fof(f26461,plain,
( spl5_973
| ~ spl5_65
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1130,f574,f554,f26458]) ).
fof(f26458,plain,
( spl5_973
<=> sz0z00 = sdtpldt0(smndt0(xH),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_973])]) ).
fof(f1130,plain,
( sz0z00 = sdtpldt0(smndt0(xH),xH)
| ~ spl5_65
| ~ spl5_70 ),
inference(resolution,[],[f576,f555]) ).
fof(f26456,plain,
( spl5_972
| ~ spl5_64
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1129,f574,f550,f26453]) ).
fof(f26453,plain,
( spl5_972
<=> sz0z00 = sdtpldt0(xH,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_972])]) ).
fof(f1129,plain,
( sz0z00 = sdtpldt0(xH,smndt0(xH))
| ~ spl5_64
| ~ spl5_70 ),
inference(resolution,[],[f576,f551]) ).
fof(f26451,plain,
( spl5_971
| ~ spl5_62
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1123,f554,f541,f26448]) ).
fof(f26448,plain,
( spl5_971
<=> sz0z00 = sdtpldt0(smndt0(xG),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_971])]) ).
fof(f1123,plain,
( sz0z00 = sdtpldt0(smndt0(xG),xG)
| ~ spl5_62
| ~ spl5_65 ),
inference(resolution,[],[f543,f555]) ).
fof(f26446,plain,
( spl5_970
| ~ spl5_62
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1122,f550,f541,f26443]) ).
fof(f26443,plain,
( spl5_970
<=> sz0z00 = sdtpldt0(xG,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_970])]) ).
fof(f1122,plain,
( sz0z00 = sdtpldt0(xG,smndt0(xG))
| ~ spl5_62
| ~ spl5_64 ),
inference(resolution,[],[f543,f551]) ).
fof(f26441,plain,
( spl5_969
| ~ spl5_55
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1116,f554,f508,f26438]) ).
fof(f26438,plain,
( spl5_969
<=> sz0z00 = sdtpldt0(smndt0(xF),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_969])]) ).
fof(f1116,plain,
( sz0z00 = sdtpldt0(smndt0(xF),xF)
| ~ spl5_55
| ~ spl5_65 ),
inference(resolution,[],[f510,f555]) ).
fof(f26436,plain,
( spl5_968
| ~ spl5_55
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1115,f550,f508,f26433]) ).
fof(f26433,plain,
( spl5_968
<=> sz0z00 = sdtpldt0(xF,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_968])]) ).
fof(f1115,plain,
( sz0z00 = sdtpldt0(xF,smndt0(xF))
| ~ spl5_55
| ~ spl5_64 ),
inference(resolution,[],[f510,f551]) ).
fof(f26431,plain,
( spl5_967
| ~ spl5_50
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1109,f554,f481,f26428]) ).
fof(f26428,plain,
( spl5_967
<=> sz0z00 = sdtpldt0(smndt0(xE),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_967])]) ).
fof(f1109,plain,
( sz0z00 = sdtpldt0(smndt0(xE),xE)
| ~ spl5_50
| ~ spl5_65 ),
inference(resolution,[],[f483,f555]) ).
fof(f26426,plain,
( spl5_966
| ~ spl5_50
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1108,f550,f481,f26423]) ).
fof(f26423,plain,
( spl5_966
<=> sz0z00 = sdtpldt0(xE,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_966])]) ).
fof(f1108,plain,
( sz0z00 = sdtpldt0(xE,smndt0(xE))
| ~ spl5_50
| ~ spl5_64 ),
inference(resolution,[],[f483,f551]) ).
fof(f26421,plain,
( spl5_965
| ~ spl5_42
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1102,f554,f445,f26418]) ).
fof(f26418,plain,
( spl5_965
<=> sz0z00 = sdtpldt0(smndt0(xD),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_965])]) ).
fof(f1102,plain,
( sz0z00 = sdtpldt0(smndt0(xD),xD)
| ~ spl5_42
| ~ spl5_65 ),
inference(resolution,[],[f447,f555]) ).
fof(f26416,plain,
( spl5_964
| ~ spl5_18
| ~ spl5_55
| ~ spl5_60
| ~ spl5_264
| ~ spl5_608 ),
inference(avatar_split_clause,[],[f16344,f15001,f5246,f529,f508,f315,f26413]) ).
fof(f26413,plain,
( spl5_964
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_964])]) ).
fof(f15001,plain,
( spl5_608
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_608])]) ).
fof(f16344,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_55
| ~ spl5_60
| ~ spl5_264
| ~ spl5_608 ),
inference(forward_demodulation,[],[f16343,f1113]) ).
fof(f16343,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_608 ),
inference(forward_demodulation,[],[f16316,f5248]) ).
fof(f16316,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_608 ),
inference(resolution,[],[f15002,f317]) ).
fof(f15002,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE))) )
| ~ spl5_608 ),
inference(avatar_component_clause,[],[f15001]) ).
fof(f26411,plain,
( spl5_963
| ~ spl5_42
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1101,f550,f445,f26408]) ).
fof(f26408,plain,
( spl5_963
<=> sz0z00 = sdtpldt0(xD,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_963])]) ).
fof(f1101,plain,
( sz0z00 = sdtpldt0(xD,smndt0(xD))
| ~ spl5_42
| ~ spl5_64 ),
inference(resolution,[],[f447,f551]) ).
fof(f26406,plain,
( spl5_962
| ~ spl5_36
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1054,f554,f418,f26403]) ).
fof(f26403,plain,
( spl5_962
<=> sz0z00 = sdtpldt0(smndt0(xC),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_962])]) ).
fof(f1054,plain,
( sz0z00 = sdtpldt0(smndt0(xC),xC)
| ~ spl5_36
| ~ spl5_65 ),
inference(resolution,[],[f420,f555]) ).
fof(f26401,plain,
( spl5_961
| ~ spl5_36
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1053,f550,f418,f26398]) ).
fof(f26398,plain,
( spl5_961
<=> sz0z00 = sdtpldt0(xC,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_961])]) ).
fof(f1053,plain,
( sz0z00 = sdtpldt0(xC,smndt0(xC))
| ~ spl5_36
| ~ spl5_64 ),
inference(resolution,[],[f420,f551]) ).
fof(f26396,plain,
( spl5_960
| ~ spl5_35
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f991,f554,f412,f26393]) ).
fof(f26393,plain,
( spl5_960
<=> sz0z00 = sdtpldt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_960])]) ).
fof(f412,plain,
( spl5_35
<=> sP2(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f991,plain,
( sz0z00 = sdtpldt0(smndt0(xB),xB)
| ~ spl5_35
| ~ spl5_65 ),
inference(resolution,[],[f414,f555]) ).
fof(f414,plain,
( sP2(xB)
| ~ spl5_35 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f26391,plain,
( spl5_959
| ~ spl5_35
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f990,f550,f412,f26388]) ).
fof(f26388,plain,
( spl5_959
<=> sz0z00 = sdtpldt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_959])]) ).
fof(f990,plain,
( sz0z00 = sdtpldt0(xB,smndt0(xB))
| ~ spl5_35
| ~ spl5_64 ),
inference(resolution,[],[f414,f551]) ).
fof(f26386,plain,
( spl5_958
| ~ spl5_24
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f895,f554,f357,f26383]) ).
fof(f26383,plain,
( spl5_958
<=> sz0z00 = sdtpldt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_958])]) ).
fof(f357,plain,
( spl5_24
<=> sP2(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f895,plain,
( sz0z00 = sdtpldt0(smndt0(xA),xA)
| ~ spl5_24
| ~ spl5_65 ),
inference(resolution,[],[f359,f555]) ).
fof(f359,plain,
( sP2(xA)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f26381,plain,
( spl5_957
| ~ spl5_24
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f894,f550,f357,f26378]) ).
fof(f26378,plain,
( spl5_957
<=> sz0z00 = sdtpldt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_957])]) ).
fof(f894,plain,
( sz0z00 = sdtpldt0(xA,smndt0(xA))
| ~ spl5_24
| ~ spl5_64 ),
inference(resolution,[],[f359,f551]) ).
fof(f26221,plain,
( spl5_956
| ~ spl5_18
| ~ spl5_50
| ~ spl5_60
| ~ spl5_272
| ~ spl5_607 ),
inference(avatar_split_clause,[],[f16308,f14997,f5686,f529,f481,f315,f26218]) ).
fof(f26218,plain,
( spl5_956
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_956])]) ).
fof(f14997,plain,
( spl5_607
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_607])]) ).
fof(f16308,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_50
| ~ spl5_60
| ~ spl5_272
| ~ spl5_607 ),
inference(forward_demodulation,[],[f16307,f1106]) ).
fof(f16307,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_607 ),
inference(forward_demodulation,[],[f16280,f5688]) ).
fof(f16280,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_607 ),
inference(resolution,[],[f14998,f317]) ).
fof(f14998,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD))) )
| ~ spl5_607 ),
inference(avatar_component_clause,[],[f14997]) ).
fof(f25761,plain,
( spl5_955
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_307
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(avatar_split_clause,[],[f14671,f14359,f12740,f10877,f6581,f4295,f4277,f1941,f1160,f529,f517,f25759]) ).
fof(f25759,plain,
( spl5_955
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_955])]) ).
fof(f517,plain,
( spl5_57
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f6581,plain,
( spl5_307
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_307])]) ).
fof(f12740,plain,
( spl5_560
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_560])]) ).
fof(f14671,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_307
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14670,f1164]) ).
fof(f1164,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl5_57
| ~ spl5_106 ),
inference(resolution,[],[f1162,f518]) ).
fof(f518,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f14670,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtpldt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_307
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14669,f14366]) ).
fof(f14669,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_307
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14507,f14239]) ).
fof(f14239,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_159
| ~ spl5_218
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14238,f13952]) ).
fof(f14238,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_218
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14110,f14089]) ).
fof(f14110,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_218
| ~ spl5_560 ),
inference(resolution,[],[f4278,f12741]) ).
fof(f12741,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl5_560 ),
inference(avatar_component_clause,[],[f12740]) ).
fof(f14507,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_220
| ~ spl5_307 ),
inference(resolution,[],[f4296,f6582]) ).
fof(f6582,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_307 ),
inference(avatar_component_clause,[],[f6581]) ).
fof(f25757,plain,
( spl5_954
| ~ spl5_218
| ~ spl5_236 ),
inference(avatar_split_clause,[],[f13993,f4628,f4277,f25755]) ).
fof(f25755,plain,
( spl5_954
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_954])]) ).
fof(f4628,plain,
( spl5_236
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_236])]) ).
fof(f13993,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_236 ),
inference(resolution,[],[f4278,f4629]) ).
fof(f4629,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl5_236 ),
inference(avatar_component_clause,[],[f4628]) ).
fof(f25753,plain,
( spl5_953
| ~ spl5_218
| ~ spl5_235 ),
inference(avatar_split_clause,[],[f13992,f4624,f4277,f25751]) ).
fof(f25751,plain,
( spl5_953
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_953])]) ).
fof(f4624,plain,
( spl5_235
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_235])]) ).
fof(f13992,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) )
| ~ spl5_218
| ~ spl5_235 ),
inference(resolution,[],[f4278,f4625]) ).
fof(f4625,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl5_235 ),
inference(avatar_component_clause,[],[f4624]) ).
fof(f25749,plain,
( spl5_952
| ~ spl5_82
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13919,f4277,f658,f25747]) ).
fof(f25747,plain,
( spl5_952
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_952])]) ).
fof(f658,plain,
( spl5_82
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f13919,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) )
| ~ spl5_82
| ~ spl5_218 ),
inference(resolution,[],[f4278,f659]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f25745,plain,
( spl5_951
| ~ spl5_81
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13918,f4277,f654,f25743]) ).
fof(f25743,plain,
( spl5_951
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_951])]) ).
fof(f654,plain,
( spl5_81
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f13918,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_81
| ~ spl5_218 ),
inference(resolution,[],[f4278,f655]) ).
fof(f655,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f25741,plain,
( spl5_950
| ~ spl5_80
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13917,f4277,f650,f25739]) ).
fof(f25739,plain,
( spl5_950
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_950])]) ).
fof(f650,plain,
( spl5_80
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f13917,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_80
| ~ spl5_218 ),
inference(resolution,[],[f4278,f651]) ).
fof(f651,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl5_80 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f25737,plain,
( spl5_949
| ~ spl5_215
| ~ spl5_330 ),
inference(avatar_split_clause,[],[f7822,f7813,f4265,f25735]) ).
fof(f25735,plain,
( spl5_949
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xE,xE)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_949])]) ).
fof(f7813,plain,
( spl5_330
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_330])]) ).
fof(f7822,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xE,xE)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_330 ),
inference(resolution,[],[f7814,f4266]) ).
fof(f7814,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2))) )
| ~ spl5_330 ),
inference(avatar_component_clause,[],[f7813]) ).
fof(f25733,plain,
( spl5_948
| ~ spl5_216
| ~ spl5_330 ),
inference(avatar_split_clause,[],[f7821,f7813,f4269,f25731]) ).
fof(f25731,plain,
( spl5_948
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xC,xD)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_948])]) ).
fof(f7821,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xC,xD)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_330 ),
inference(resolution,[],[f7814,f4270]) ).
fof(f25729,plain,
( spl5_947
| ~ spl5_18
| ~ spl5_50
| ~ spl5_60
| ~ spl5_264
| ~ spl5_606 ),
inference(avatar_split_clause,[],[f16269,f14993,f5246,f529,f481,f315,f25726]) ).
fof(f25726,plain,
( spl5_947
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_947])]) ).
fof(f14993,plain,
( spl5_606
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_606])]) ).
fof(f16269,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_50
| ~ spl5_60
| ~ spl5_264
| ~ spl5_606 ),
inference(forward_demodulation,[],[f16268,f1106]) ).
fof(f16268,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_606 ),
inference(forward_demodulation,[],[f16241,f5248]) ).
fof(f16241,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_606 ),
inference(resolution,[],[f14994,f317]) ).
fof(f14994,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE))) )
| ~ spl5_606 ),
inference(avatar_component_clause,[],[f14993]) ).
fof(f25724,plain,
( spl5_946
| ~ spl5_217
| ~ spl5_236 ),
inference(avatar_split_clause,[],[f7327,f4628,f4273,f25722]) ).
fof(f25722,plain,
( spl5_946
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_946])]) ).
fof(f7327,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_236 ),
inference(resolution,[],[f4274,f4629]) ).
fof(f25720,plain,
( spl5_945
| ~ spl5_217
| ~ spl5_235 ),
inference(avatar_split_clause,[],[f7326,f4624,f4273,f25718]) ).
fof(f25718,plain,
( spl5_945
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_945])]) ).
fof(f7326,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),X0)
| ~ aScalar0(X0) )
| ~ spl5_217
| ~ spl5_235 ),
inference(resolution,[],[f4274,f4625]) ).
fof(f25716,plain,
( spl5_944
| ~ spl5_82
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7253,f4273,f658,f25714]) ).
fof(f25714,plain,
( spl5_944
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_944])]) ).
fof(f7253,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = sdtasdt0(smndt0(X0),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(X0) )
| ~ spl5_82
| ~ spl5_217 ),
inference(resolution,[],[f4274,f659]) ).
fof(f25712,plain,
( spl5_943
| ~ spl5_81
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7252,f4273,f654,f25710]) ).
fof(f25710,plain,
( spl5_943
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_943])]) ).
fof(f7252,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) = smndt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_81
| ~ spl5_217 ),
inference(resolution,[],[f4274,f655]) ).
fof(f25708,plain,
( spl5_942
| ~ spl5_80
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7251,f4273,f650,f25706]) ).
fof(f25706,plain,
( spl5_942
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_942])]) ).
fof(f7251,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(X0) )
| ~ spl5_80
| ~ spl5_217 ),
inference(resolution,[],[f4274,f651]) ).
fof(f25704,plain,
( spl5_941
| ~ spl5_97
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4463,f4269,f948,f25702]) ).
fof(f25702,plain,
( spl5_941
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_941])]) ).
fof(f948,plain,
( spl5_97
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
fof(f4463,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97
| ~ spl5_216 ),
inference(resolution,[],[f4270,f949]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f25700,plain,
( spl5_940
| ~ spl5_97
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4317,f4265,f948,f25698]) ).
fof(f25698,plain,
( spl5_940
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_940])]) ).
fof(f4317,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97
| ~ spl5_215 ),
inference(resolution,[],[f4266,f949]) ).
fof(f25602,plain,
( spl5_939
| ~ spl5_18
| ~ spl5_213
| ~ spl5_272
| ~ spl5_605 ),
inference(avatar_split_clause,[],[f16233,f14989,f5686,f4211,f315,f25599]) ).
fof(f25599,plain,
( spl5_939
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_939])]) ).
fof(f4211,plain,
( spl5_213
<=> sz0z00 = sdtasdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_213])]) ).
fof(f14989,plain,
( spl5_605
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_605])]) ).
fof(f16233,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_213
| ~ spl5_272
| ~ spl5_605 ),
inference(forward_demodulation,[],[f16232,f4213]) ).
fof(f4213,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_213 ),
inference(avatar_component_clause,[],[f4211]) ).
fof(f16232,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_605 ),
inference(forward_demodulation,[],[f16205,f5688]) ).
fof(f16205,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_605 ),
inference(resolution,[],[f14990,f317]) ).
fof(f14990,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD))) )
| ~ spl5_605 ),
inference(avatar_component_clause,[],[f14989]) ).
fof(f25397,plain,
( spl5_938
| ~ spl5_18
| ~ spl5_213
| ~ spl5_264
| ~ spl5_604 ),
inference(avatar_split_clause,[],[f16199,f14985,f5246,f4211,f315,f25394]) ).
fof(f25394,plain,
( spl5_938
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_938])]) ).
fof(f14985,plain,
( spl5_604
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_604])]) ).
fof(f16199,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_213
| ~ spl5_264
| ~ spl5_604 ),
inference(forward_demodulation,[],[f16198,f4213]) ).
fof(f16198,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_604 ),
inference(forward_demodulation,[],[f16171,f5248]) ).
fof(f16171,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_604 ),
inference(resolution,[],[f14986,f317]) ).
fof(f14986,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE))) )
| ~ spl5_604 ),
inference(avatar_component_clause,[],[f14985]) ).
fof(f25192,plain,
( spl5_937
| ~ spl5_18
| ~ spl5_194
| ~ spl5_272
| ~ spl5_603 ),
inference(avatar_split_clause,[],[f16163,f14981,f5686,f3189,f315,f25189]) ).
fof(f25189,plain,
( spl5_937
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_937])]) ).
fof(f14981,plain,
( spl5_603
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_603])]) ).
fof(f16163,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_194
| ~ spl5_272
| ~ spl5_603 ),
inference(forward_demodulation,[],[f16162,f3191]) ).
fof(f16162,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_603 ),
inference(forward_demodulation,[],[f16135,f5688]) ).
fof(f16135,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_603 ),
inference(resolution,[],[f14982,f317]) ).
fof(f14982,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD))) )
| ~ spl5_603 ),
inference(avatar_component_clause,[],[f14981]) ).
fof(f24987,plain,
( spl5_936
| ~ spl5_18
| ~ spl5_194
| ~ spl5_264
| ~ spl5_602 ),
inference(avatar_split_clause,[],[f16129,f14977,f5246,f3189,f315,f24984]) ).
fof(f24984,plain,
( spl5_936
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_936])]) ).
fof(f14977,plain,
( spl5_602
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_602])]) ).
fof(f16129,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_194
| ~ spl5_264
| ~ spl5_602 ),
inference(forward_demodulation,[],[f16128,f3191]) ).
fof(f16128,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_602 ),
inference(forward_demodulation,[],[f16101,f5248]) ).
fof(f16101,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_602 ),
inference(resolution,[],[f14978,f317]) ).
fof(f14978,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE))) )
| ~ spl5_602 ),
inference(avatar_component_clause,[],[f14977]) ).
fof(f24752,plain,
( spl5_935
| ~ spl5_18
| ~ spl5_163
| ~ spl5_272
| ~ spl5_601 ),
inference(avatar_split_clause,[],[f16093,f14973,f5686,f2549,f315,f24749]) ).
fof(f24749,plain,
( spl5_935
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_935])]) ).
fof(f14973,plain,
( spl5_601
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_601])]) ).
fof(f16093,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_163
| ~ spl5_272
| ~ spl5_601 ),
inference(forward_demodulation,[],[f16092,f2551]) ).
fof(f16092,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_601 ),
inference(forward_demodulation,[],[f16065,f5688]) ).
fof(f16065,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_601 ),
inference(resolution,[],[f14974,f317]) ).
fof(f14974,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD))) )
| ~ spl5_601 ),
inference(avatar_component_clause,[],[f14973]) ).
fof(f24547,plain,
( spl5_934
| ~ spl5_18
| ~ spl5_163
| ~ spl5_264
| ~ spl5_600 ),
inference(avatar_split_clause,[],[f16059,f14969,f5246,f2549,f315,f24544]) ).
fof(f24544,plain,
( spl5_934
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_934])]) ).
fof(f14969,plain,
( spl5_600
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_600])]) ).
fof(f16059,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_163
| ~ spl5_264
| ~ spl5_600 ),
inference(forward_demodulation,[],[f16058,f2551]) ).
fof(f16058,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_600 ),
inference(forward_demodulation,[],[f16031,f5248]) ).
fof(f16031,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_600 ),
inference(resolution,[],[f14970,f317]) ).
fof(f14970,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE))) )
| ~ spl5_600 ),
inference(avatar_component_clause,[],[f14969]) ).
fof(f24342,plain,
( spl5_933
| ~ spl5_18
| ~ spl5_154
| ~ spl5_272
| ~ spl5_599 ),
inference(avatar_split_clause,[],[f16023,f14965,f5686,f1471,f315,f24339]) ).
fof(f24339,plain,
( spl5_933
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_933])]) ).
fof(f14965,plain,
( spl5_599
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_599])]) ).
fof(f16023,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_154
| ~ spl5_272
| ~ spl5_599 ),
inference(forward_demodulation,[],[f16022,f1473]) ).
fof(f16022,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_272
| ~ spl5_599 ),
inference(forward_demodulation,[],[f15995,f5688]) ).
fof(f15995,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_599 ),
inference(resolution,[],[f14966,f317]) ).
fof(f14966,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD))) )
| ~ spl5_599 ),
inference(avatar_component_clause,[],[f14965]) ).
fof(f24137,plain,
( spl5_932
| ~ spl5_18
| ~ spl5_154
| ~ spl5_264
| ~ spl5_597 ),
inference(avatar_split_clause,[],[f15989,f14956,f5246,f1471,f315,f24134]) ).
fof(f24134,plain,
( spl5_932
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_932])]) ).
fof(f14956,plain,
( spl5_597
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_597])]) ).
fof(f15989,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_154
| ~ spl5_264
| ~ spl5_597 ),
inference(forward_demodulation,[],[f15988,f1473]) ).
fof(f15988,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_264
| ~ spl5_597 ),
inference(forward_demodulation,[],[f15961,f5248]) ).
fof(f15961,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_597 ),
inference(resolution,[],[f14957,f317]) ).
fof(f14957,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE))) )
| ~ spl5_597 ),
inference(avatar_component_clause,[],[f14956]) ).
fof(f23421,plain,
( spl5_931
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_271
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(avatar_split_clause,[],[f14643,f14359,f12740,f10877,f5531,f4295,f4277,f1941,f1160,f529,f517,f23419]) ).
fof(f23419,plain,
( spl5_931
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_931])]) ).
fof(f14643,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_271
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14642,f1164]) ).
fof(f14642,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,sz0z00)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_271
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14641,f14366]) ).
fof(f14641,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) = sdtasdt0(X0,sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_271
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14477,f14239]) ).
fof(f14477,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_220
| ~ spl5_271 ),
inference(resolution,[],[f4296,f5532]) ).
fof(f23417,plain,
( spl5_930
| ~ spl5_153
| ~ spl5_206
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14148,f4277,f3239,f1448,f23414]) ).
fof(f23414,plain,
( spl5_930
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_930])]) ).
fof(f3239,plain,
( spl5_206
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_206])]) ).
fof(f14148,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_206
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13990,f13950]) ).
fof(f13990,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN)
| ~ spl5_206
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3240]) ).
fof(f3240,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN) )
| ~ spl5_206 ),
inference(avatar_component_clause,[],[f3239]) ).
fof(f23412,plain,
( spl5_929
| ~ spl5_152
| ~ spl5_204
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14147,f4277,f3230,f1444,f23409]) ).
fof(f23409,plain,
( spl5_929
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_929])]) ).
fof(f3230,plain,
( spl5_204
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_204])]) ).
fof(f14147,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_152
| ~ spl5_204
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13989,f13949]) ).
fof(f13989,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS)
| ~ spl5_204
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3231]) ).
fof(f3231,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS) )
| ~ spl5_204 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f23407,plain,
( spl5_928
| ~ spl5_151
| ~ spl5_203
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14146,f4277,f3226,f1440,f23404]) ).
fof(f23404,plain,
( spl5_928
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_928])]) ).
fof(f3226,plain,
( spl5_203
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_203])]) ).
fof(f14146,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_203
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13988,f13948]) ).
fof(f13988,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP)
| ~ spl5_203
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3227]) ).
fof(f3227,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP) )
| ~ spl5_203 ),
inference(avatar_component_clause,[],[f3226]) ).
fof(f23402,plain,
( spl5_927
| ~ spl5_150
| ~ spl5_202
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14145,f4277,f3222,f1436,f23399]) ).
fof(f23399,plain,
( spl5_927
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_927])]) ).
fof(f3222,plain,
( spl5_202
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_202])]) ).
fof(f14145,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_202
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13987,f13947]) ).
fof(f13987,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR)
| ~ spl5_202
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3223]) ).
fof(f3223,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR) )
| ~ spl5_202 ),
inference(avatar_component_clause,[],[f3222]) ).
fof(f23397,plain,
( spl5_926
| ~ spl5_149
| ~ spl5_201
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14144,f4277,f3218,f1432,f23394]) ).
fof(f23394,plain,
( spl5_926
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_926])]) ).
fof(f3218,plain,
( spl5_201
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_201])]) ).
fof(f14144,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_149
| ~ spl5_201
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13986,f13946]) ).
fof(f13986,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH)
| ~ spl5_201
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3219]) ).
fof(f3219,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH) )
| ~ spl5_201 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f23392,plain,
( spl5_925
| ~ spl5_148
| ~ spl5_200
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14143,f4277,f3214,f1428,f23389]) ).
fof(f23389,plain,
( spl5_925
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_925])]) ).
fof(f3214,plain,
( spl5_200
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_200])]) ).
fof(f14143,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_148
| ~ spl5_200
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13985,f13945]) ).
fof(f13985,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG)
| ~ spl5_200
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3215]) ).
fof(f3215,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG) )
| ~ spl5_200 ),
inference(avatar_component_clause,[],[f3214]) ).
fof(f23387,plain,
( spl5_924
| ~ spl5_147
| ~ spl5_199
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14142,f4277,f3210,f1424,f23384]) ).
fof(f23384,plain,
( spl5_924
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_924])]) ).
fof(f3210,plain,
( spl5_199
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_199])]) ).
fof(f14142,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_147
| ~ spl5_199
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13984,f13944]) ).
fof(f13984,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF)
| ~ spl5_199
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3211]) ).
fof(f3211,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF) )
| ~ spl5_199 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f23358,plain,
( spl5_923
| ~ spl5_146
| ~ spl5_198
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14141,f4277,f3206,f1420,f23355]) ).
fof(f23355,plain,
( spl5_923
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_923])]) ).
fof(f3206,plain,
( spl5_198
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_198])]) ).
fof(f14141,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_146
| ~ spl5_198
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13983,f13943]) ).
fof(f13983,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE)
| ~ spl5_198
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3207]) ).
fof(f3207,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE) )
| ~ spl5_198 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f23353,plain,
( spl5_922
| ~ spl5_145
| ~ spl5_197
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14140,f4277,f3202,f1416,f23350]) ).
fof(f23350,plain,
( spl5_922
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_922])]) ).
fof(f3202,plain,
( spl5_197
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_197])]) ).
fof(f14140,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_145
| ~ spl5_197
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13982,f13942]) ).
fof(f13982,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD)
| ~ spl5_197
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3203]) ).
fof(f3203,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD) )
| ~ spl5_197 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f23348,plain,
( spl5_921
| ~ spl5_143
| ~ spl5_196
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14139,f4277,f3198,f1407,f23345]) ).
fof(f23345,plain,
( spl5_921
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_921])]) ).
fof(f3198,plain,
( spl5_196
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_196])]) ).
fof(f14139,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_143
| ~ spl5_196
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13981,f13941]) ).
fof(f13981,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC)
| ~ spl5_196
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3199]) ).
fof(f3199,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC) )
| ~ spl5_196 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f23343,plain,
( spl5_920
| ~ spl5_142
| ~ spl5_195
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14138,f4277,f3194,f1403,f23340]) ).
fof(f23340,plain,
( spl5_920
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_920])]) ).
fof(f3194,plain,
( spl5_195
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_195])]) ).
fof(f14138,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_142
| ~ spl5_195
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13980,f13940]) ).
fof(f13980,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB)
| ~ spl5_195
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3195]) ).
fof(f3195,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB) )
| ~ spl5_195 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f23338,plain,
( spl5_919
| ~ spl5_141
| ~ spl5_193
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14137,f4277,f3185,f1399,f23335]) ).
fof(f23335,plain,
( spl5_919
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_919])]) ).
fof(f3185,plain,
( spl5_193
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_193])]) ).
fof(f14137,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_141
| ~ spl5_193
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13979,f13939]) ).
fof(f13979,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA)
| ~ spl5_193
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3186]) ).
fof(f3186,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA) )
| ~ spl5_193 ),
inference(avatar_component_clause,[],[f3185]) ).
fof(f23333,plain,
( spl5_918
| ~ spl5_153
| ~ spl5_192
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14136,f4277,f3181,f1448,f23330]) ).
fof(f23330,plain,
( spl5_918
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_918])]) ).
fof(f3181,plain,
( spl5_192
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_192])]) ).
fof(f14136,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_192
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13978,f13950]) ).
fof(f13978,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN))
| ~ spl5_192
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3182]) ).
fof(f3182,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN)) )
| ~ spl5_192 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f23328,plain,
( spl5_917
| ~ spl5_152
| ~ spl5_191
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14135,f4277,f3177,f1444,f23325]) ).
fof(f23325,plain,
( spl5_917
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_917])]) ).
fof(f3177,plain,
( spl5_191
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_191])]) ).
fof(f14135,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_152
| ~ spl5_191
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13977,f13949]) ).
fof(f13977,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS))
| ~ spl5_191
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3178]) ).
fof(f3178,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS)) )
| ~ spl5_191 ),
inference(avatar_component_clause,[],[f3177]) ).
fof(f23323,plain,
( spl5_916
| ~ spl5_151
| ~ spl5_190
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14134,f4277,f3173,f1440,f23320]) ).
fof(f23320,plain,
( spl5_916
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_916])]) ).
fof(f3173,plain,
( spl5_190
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_190])]) ).
fof(f14134,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_190
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13976,f13948]) ).
fof(f13976,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP))
| ~ spl5_190
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3174]) ).
fof(f3174,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP)) )
| ~ spl5_190 ),
inference(avatar_component_clause,[],[f3173]) ).
fof(f23318,plain,
( spl5_915
| ~ spl5_150
| ~ spl5_189
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14133,f4277,f3169,f1436,f23315]) ).
fof(f23315,plain,
( spl5_915
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_915])]) ).
fof(f3169,plain,
( spl5_189
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_189])]) ).
fof(f14133,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_189
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13975,f13947]) ).
fof(f13975,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR))
| ~ spl5_189
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3170]) ).
fof(f3170,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR)) )
| ~ spl5_189 ),
inference(avatar_component_clause,[],[f3169]) ).
fof(f23313,plain,
( spl5_914
| ~ spl5_149
| ~ spl5_188
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14132,f4277,f3165,f1432,f23310]) ).
fof(f23310,plain,
( spl5_914
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_914])]) ).
fof(f3165,plain,
( spl5_188
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_188])]) ).
fof(f14132,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_149
| ~ spl5_188
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13974,f13946]) ).
fof(f13974,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH))
| ~ spl5_188
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3166]) ).
fof(f3166,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH)) )
| ~ spl5_188 ),
inference(avatar_component_clause,[],[f3165]) ).
fof(f23284,plain,
( spl5_913
| ~ spl5_148
| ~ spl5_187
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14131,f4277,f3161,f1428,f23281]) ).
fof(f23281,plain,
( spl5_913
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_913])]) ).
fof(f3161,plain,
( spl5_187
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_187])]) ).
fof(f14131,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_148
| ~ spl5_187
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13973,f13945]) ).
fof(f13973,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG))
| ~ spl5_187
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3162]) ).
fof(f3162,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG)) )
| ~ spl5_187 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f23279,plain,
( spl5_912
| ~ spl5_147
| ~ spl5_186
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14130,f4277,f3157,f1424,f23276]) ).
fof(f23276,plain,
( spl5_912
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_912])]) ).
fof(f3157,plain,
( spl5_186
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_186])]) ).
fof(f14130,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_147
| ~ spl5_186
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13972,f13944]) ).
fof(f13972,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF))
| ~ spl5_186
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3158]) ).
fof(f3158,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF)) )
| ~ spl5_186 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f23274,plain,
( spl5_911
| ~ spl5_146
| ~ spl5_185
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14129,f4277,f3153,f1420,f23271]) ).
fof(f23271,plain,
( spl5_911
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_911])]) ).
fof(f3153,plain,
( spl5_185
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_185])]) ).
fof(f14129,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_146
| ~ spl5_185
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13971,f13943]) ).
fof(f13971,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE))
| ~ spl5_185
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3154]) ).
fof(f3154,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE)) )
| ~ spl5_185 ),
inference(avatar_component_clause,[],[f3153]) ).
fof(f23269,plain,
( spl5_910
| ~ spl5_145
| ~ spl5_184
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14128,f4277,f3149,f1416,f23266]) ).
fof(f23266,plain,
( spl5_910
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_910])]) ).
fof(f3149,plain,
( spl5_184
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_184])]) ).
fof(f14128,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_145
| ~ spl5_184
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13970,f13942]) ).
fof(f13970,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD))
| ~ spl5_184
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3150]) ).
fof(f3150,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD)) )
| ~ spl5_184 ),
inference(avatar_component_clause,[],[f3149]) ).
fof(f23264,plain,
( spl5_909
| ~ spl5_143
| ~ spl5_182
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14127,f4277,f3140,f1407,f23261]) ).
fof(f23261,plain,
( spl5_909
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_909])]) ).
fof(f3140,plain,
( spl5_182
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f14127,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_143
| ~ spl5_182
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13969,f13941]) ).
fof(f13969,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC))
| ~ spl5_182
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3141]) ).
fof(f3141,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC)) )
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f23259,plain,
( spl5_908
| ~ spl5_142
| ~ spl5_181
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14126,f4277,f3136,f1403,f23256]) ).
fof(f23256,plain,
( spl5_908
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_908])]) ).
fof(f3136,plain,
( spl5_181
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_181])]) ).
fof(f14126,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_142
| ~ spl5_181
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13968,f13940]) ).
fof(f13968,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB))
| ~ spl5_181
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3137]) ).
fof(f3137,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB)) )
| ~ spl5_181 ),
inference(avatar_component_clause,[],[f3136]) ).
fof(f23254,plain,
( spl5_907
| ~ spl5_141
| ~ spl5_180
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14125,f4277,f3132,f1399,f23251]) ).
fof(f23251,plain,
( spl5_907
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_907])]) ).
fof(f3132,plain,
( spl5_180
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_180])]) ).
fof(f14125,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_141
| ~ spl5_180
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13967,f13939]) ).
fof(f13967,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA))
| ~ spl5_180
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3133]) ).
fof(f3133,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA)) )
| ~ spl5_180 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f23249,plain,
( spl5_906
| ~ spl5_153
| ~ spl5_179
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14124,f4277,f3128,f1448,f23246]) ).
fof(f23246,plain,
( spl5_906
<=> sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_906])]) ).
fof(f14124,plain,
( sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_153
| ~ spl5_179
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13966,f13950]) ).
fof(f13966,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_179
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3129]) ).
fof(f23244,plain,
( spl5_905
| ~ spl5_152
| ~ spl5_178
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14123,f4277,f3124,f1444,f23241]) ).
fof(f23241,plain,
( spl5_905
<=> sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_905])]) ).
fof(f14123,plain,
( sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_152
| ~ spl5_178
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13965,f13949]) ).
fof(f13965,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_178
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3125]) ).
fof(f23239,plain,
( spl5_904
| ~ spl5_151
| ~ spl5_177
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14122,f4277,f3120,f1440,f23236]) ).
fof(f23236,plain,
( spl5_904
<=> sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_904])]) ).
fof(f14122,plain,
( sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_151
| ~ spl5_177
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13964,f13948]) ).
fof(f13964,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_177
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3121]) ).
fof(f23210,plain,
( spl5_903
| ~ spl5_150
| ~ spl5_176
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14121,f4277,f3116,f1436,f23207]) ).
fof(f23207,plain,
( spl5_903
<=> sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_903])]) ).
fof(f14121,plain,
( sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_150
| ~ spl5_176
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13963,f13947]) ).
fof(f13963,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_176
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3117]) ).
fof(f23205,plain,
( spl5_902
| ~ spl5_149
| ~ spl5_175
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14120,f4277,f3112,f1432,f23202]) ).
fof(f23202,plain,
( spl5_902
<=> sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_902])]) ).
fof(f14120,plain,
( sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_149
| ~ spl5_175
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13962,f13946]) ).
fof(f13962,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_175
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3113]) ).
fof(f23200,plain,
( spl5_901
| ~ spl5_148
| ~ spl5_174
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14119,f4277,f3108,f1428,f23197]) ).
fof(f23197,plain,
( spl5_901
<=> sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_901])]) ).
fof(f14119,plain,
( sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_148
| ~ spl5_174
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13961,f13945]) ).
fof(f13961,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_174
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3109]) ).
fof(f23195,plain,
( spl5_900
| ~ spl5_147
| ~ spl5_173
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14118,f4277,f3104,f1424,f23192]) ).
fof(f23192,plain,
( spl5_900
<=> sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_900])]) ).
fof(f14118,plain,
( sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_147
| ~ spl5_173
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13960,f13944]) ).
fof(f13960,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_173
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3105]) ).
fof(f23190,plain,
( spl5_899
| ~ spl5_146
| ~ spl5_171
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14117,f4277,f3095,f1420,f23187]) ).
fof(f23187,plain,
( spl5_899
<=> sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_899])]) ).
fof(f14117,plain,
( sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_146
| ~ spl5_171
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13959,f13943]) ).
fof(f13959,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_171
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3096]) ).
fof(f23185,plain,
( spl5_898
| ~ spl5_145
| ~ spl5_170
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14116,f4277,f3091,f1416,f23182]) ).
fof(f23182,plain,
( spl5_898
<=> sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_898])]) ).
fof(f14116,plain,
( sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_145
| ~ spl5_170
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13958,f13942]) ).
fof(f13958,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_170
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3092]) ).
fof(f23180,plain,
( spl5_897
| ~ spl5_143
| ~ spl5_169
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14115,f4277,f3087,f1407,f23177]) ).
fof(f23177,plain,
( spl5_897
<=> sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_897])]) ).
fof(f14115,plain,
( sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_143
| ~ spl5_169
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13957,f13941]) ).
fof(f13957,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_169
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3088]) ).
fof(f23175,plain,
( spl5_896
| ~ spl5_142
| ~ spl5_168
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14114,f4277,f3083,f1403,f23172]) ).
fof(f23172,plain,
( spl5_896
<=> sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_896])]) ).
fof(f14114,plain,
( sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_142
| ~ spl5_168
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13956,f13940]) ).
fof(f13956,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_168
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3084]) ).
fof(f23170,plain,
( spl5_895
| ~ spl5_141
| ~ spl5_167
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14113,f4277,f3079,f1399,f23167]) ).
fof(f23167,plain,
( spl5_895
<=> sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_895])]) ).
fof(f14113,plain,
( sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_141
| ~ spl5_167
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13955,f13939]) ).
fof(f13955,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_167
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3080]) ).
fof(f23165,plain,
( spl5_894
| ~ spl5_87
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13921,f4277,f757,f23163]) ).
fof(f23163,plain,
( spl5_894
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_894])]) ).
fof(f757,plain,
( spl5_87
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f13921,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) )
| ~ spl5_87
| ~ spl5_218 ),
inference(resolution,[],[f4278,f758]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f23137,plain,
( spl5_893
| ~ spl5_85
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13920,f4277,f669,f23135]) ).
fof(f23135,plain,
( spl5_893
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_893])]) ).
fof(f669,plain,
( spl5_85
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f13920,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) )
| ~ spl5_85
| ~ spl5_218 ),
inference(resolution,[],[f4278,f670]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f23133,plain,
( spl5_892
| ~ spl5_216
| ~ spl5_324 ),
inference(avatar_split_clause,[],[f7492,f7081,f4269,f23131]) ).
fof(f23131,plain,
( spl5_892
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_892])]) ).
fof(f7081,plain,
( spl5_324
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_324])]) ).
fof(f7492,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_324 ),
inference(resolution,[],[f7082,f4270]) ).
fof(f7082,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) )
| ~ spl5_324 ),
inference(avatar_component_clause,[],[f7081]) ).
fof(f23129,plain,
( spl5_891
| ~ spl5_215
| ~ spl5_324 ),
inference(avatar_split_clause,[],[f7491,f7081,f4265,f23127]) ).
fof(f23127,plain,
( spl5_891
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_891])]) ).
fof(f7491,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_324 ),
inference(resolution,[],[f7082,f4266]) ).
fof(f23125,plain,
( spl5_890
| ~ spl5_153
| ~ spl5_206
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7431,f4273,f3239,f1448,f23122]) ).
fof(f23122,plain,
( spl5_890
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_890])]) ).
fof(f7431,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_206
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7324,f7284]) ).
fof(f7324,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN)
| ~ spl5_206
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3240]) ).
fof(f23120,plain,
( spl5_889
| ~ spl5_152
| ~ spl5_204
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7430,f4273,f3230,f1444,f23117]) ).
fof(f23117,plain,
( spl5_889
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_889])]) ).
fof(f7430,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_152
| ~ spl5_204
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7323,f7283]) ).
fof(f7323,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS)
| ~ spl5_204
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3231]) ).
fof(f23115,plain,
( spl5_888
| ~ spl5_151
| ~ spl5_203
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7429,f4273,f3226,f1440,f23112]) ).
fof(f23112,plain,
( spl5_888
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_888])]) ).
fof(f7429,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_203
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7322,f7282]) ).
fof(f7322,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP)
| ~ spl5_203
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3227]) ).
fof(f23110,plain,
( spl5_887
| ~ spl5_150
| ~ spl5_202
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7428,f4273,f3222,f1436,f23107]) ).
fof(f23107,plain,
( spl5_887
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_887])]) ).
fof(f7428,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_202
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7321,f7281]) ).
fof(f7321,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR)
| ~ spl5_202
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3223]) ).
fof(f23105,plain,
( spl5_886
| ~ spl5_149
| ~ spl5_201
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7427,f4273,f3218,f1432,f23102]) ).
fof(f23102,plain,
( spl5_886
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_886])]) ).
fof(f7427,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_149
| ~ spl5_201
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7320,f7280]) ).
fof(f7320,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH)
| ~ spl5_201
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3219]) ).
fof(f23100,plain,
( spl5_885
| ~ spl5_148
| ~ spl5_200
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7426,f4273,f3214,f1428,f23097]) ).
fof(f23097,plain,
( spl5_885
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_885])]) ).
fof(f7426,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_148
| ~ spl5_200
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7319,f7279]) ).
fof(f7319,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG)
| ~ spl5_200
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3215]) ).
fof(f23095,plain,
( spl5_884
| ~ spl5_147
| ~ spl5_199
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7425,f4273,f3210,f1424,f23092]) ).
fof(f23092,plain,
( spl5_884
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_884])]) ).
fof(f7425,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_147
| ~ spl5_199
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7318,f7278]) ).
fof(f7318,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF)
| ~ spl5_199
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3211]) ).
fof(f23066,plain,
( spl5_883
| ~ spl5_146
| ~ spl5_198
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7424,f4273,f3206,f1420,f23063]) ).
fof(f23063,plain,
( spl5_883
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_883])]) ).
fof(f7424,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_146
| ~ spl5_198
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7317,f7277]) ).
fof(f7317,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE)
| ~ spl5_198
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3207]) ).
fof(f23061,plain,
( spl5_882
| ~ spl5_145
| ~ spl5_197
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7423,f4273,f3202,f1416,f23058]) ).
fof(f23058,plain,
( spl5_882
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_882])]) ).
fof(f7423,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_145
| ~ spl5_197
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7316,f7276]) ).
fof(f7316,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD)
| ~ spl5_197
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3203]) ).
fof(f23056,plain,
( spl5_881
| ~ spl5_143
| ~ spl5_196
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7422,f4273,f3198,f1407,f23053]) ).
fof(f23053,plain,
( spl5_881
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_881])]) ).
fof(f7422,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_143
| ~ spl5_196
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7315,f7275]) ).
fof(f7315,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC)
| ~ spl5_196
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3199]) ).
fof(f23051,plain,
( spl5_880
| ~ spl5_142
| ~ spl5_195
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7421,f4273,f3194,f1403,f23048]) ).
fof(f23048,plain,
( spl5_880
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_880])]) ).
fof(f7421,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_142
| ~ spl5_195
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7314,f7274]) ).
fof(f7314,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB)
| ~ spl5_195
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3195]) ).
fof(f23046,plain,
( spl5_879
| ~ spl5_141
| ~ spl5_193
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7420,f4273,f3185,f1399,f23043]) ).
fof(f23043,plain,
( spl5_879
<=> sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_879])]) ).
fof(f7420,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_141
| ~ spl5_193
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7313,f7273]) ).
fof(f7313,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA)
| ~ spl5_193
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3186]) ).
fof(f23041,plain,
( spl5_878
| ~ spl5_153
| ~ spl5_192
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7419,f4273,f3181,f1448,f23038]) ).
fof(f23038,plain,
( spl5_878
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_878])]) ).
fof(f7419,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_192
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7312,f7284]) ).
fof(f7312,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN))
| ~ spl5_192
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3182]) ).
fof(f23036,plain,
( spl5_877
| ~ spl5_152
| ~ spl5_191
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7418,f4273,f3177,f1444,f23033]) ).
fof(f23033,plain,
( spl5_877
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_877])]) ).
fof(f7418,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_152
| ~ spl5_191
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7311,f7283]) ).
fof(f7311,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS))
| ~ spl5_191
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3178]) ).
fof(f23031,plain,
( spl5_876
| ~ spl5_151
| ~ spl5_190
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7417,f4273,f3173,f1440,f23028]) ).
fof(f23028,plain,
( spl5_876
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_876])]) ).
fof(f7417,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_190
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7310,f7282]) ).
fof(f7310,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP))
| ~ spl5_190
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3174]) ).
fof(f23026,plain,
( spl5_875
| ~ spl5_150
| ~ spl5_189
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7416,f4273,f3169,f1436,f23023]) ).
fof(f23023,plain,
( spl5_875
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_875])]) ).
fof(f7416,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_189
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7309,f7281]) ).
fof(f7309,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR))
| ~ spl5_189
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3170]) ).
fof(f23021,plain,
( spl5_874
| ~ spl5_149
| ~ spl5_188
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7415,f4273,f3165,f1432,f23018]) ).
fof(f23018,plain,
( spl5_874
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_874])]) ).
fof(f7415,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_149
| ~ spl5_188
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7308,f7280]) ).
fof(f7308,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH))
| ~ spl5_188
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3166]) ).
fof(f23016,plain,
( spl5_873
| ~ spl5_5
| ~ spl5_57
| ~ spl5_59
| ~ spl5_88
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13446,f12740,f1160,f818,f525,f517,f250,f23013]) ).
fof(f23013,plain,
( spl5_873
<=> sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_873])]) ).
fof(f13446,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_57
| ~ spl5_59
| ~ spl5_88
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13445,f1164]) ).
fof(f13445,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13399,f1154]) ).
fof(f13399,plain,
( sdtpldt0(sdtasdt0(xN,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_560 ),
inference(resolution,[],[f12741,f252]) ).
fof(f23011,plain,
( spl5_872
| ~ spl5_148
| ~ spl5_187
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7414,f4273,f3161,f1428,f23008]) ).
fof(f23008,plain,
( spl5_872
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_872])]) ).
fof(f7414,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_148
| ~ spl5_187
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7307,f7279]) ).
fof(f7307,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG))
| ~ spl5_187
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3162]) ).
fof(f23006,plain,
( spl5_871
| ~ spl5_147
| ~ spl5_186
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7413,f4273,f3157,f1424,f23003]) ).
fof(f23003,plain,
( spl5_871
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_871])]) ).
fof(f7413,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_147
| ~ spl5_186
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7306,f7278]) ).
fof(f7306,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF))
| ~ spl5_186
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3158]) ).
fof(f23001,plain,
( spl5_870
| ~ spl5_146
| ~ spl5_185
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7412,f4273,f3153,f1420,f22998]) ).
fof(f22998,plain,
( spl5_870
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_870])]) ).
fof(f7412,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_146
| ~ spl5_185
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7305,f7277]) ).
fof(f7305,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE))
| ~ spl5_185
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3154]) ).
fof(f22996,plain,
( spl5_869
| ~ spl5_145
| ~ spl5_184
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7411,f4273,f3149,f1416,f22993]) ).
fof(f22993,plain,
( spl5_869
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_869])]) ).
fof(f7411,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_145
| ~ spl5_184
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7304,f7276]) ).
fof(f7304,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD))
| ~ spl5_184
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3150]) ).
fof(f22991,plain,
( spl5_868
| ~ spl5_143
| ~ spl5_182
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7410,f4273,f3140,f1407,f22988]) ).
fof(f22988,plain,
( spl5_868
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_868])]) ).
fof(f7410,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_143
| ~ spl5_182
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7303,f7275]) ).
fof(f7303,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC))
| ~ spl5_182
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3141]) ).
fof(f22986,plain,
( spl5_867
| ~ spl5_142
| ~ spl5_181
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7409,f4273,f3136,f1403,f22983]) ).
fof(f22983,plain,
( spl5_867
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_867])]) ).
fof(f7409,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_142
| ~ spl5_181
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7302,f7274]) ).
fof(f7302,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB))
| ~ spl5_181
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3137]) ).
fof(f22981,plain,
( spl5_866
| ~ spl5_141
| ~ spl5_180
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7408,f4273,f3132,f1399,f22978]) ).
fof(f22978,plain,
( spl5_866
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_866])]) ).
fof(f7408,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_141
| ~ spl5_180
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7301,f7273]) ).
fof(f7301,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA))
| ~ spl5_180
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3133]) ).
fof(f22976,plain,
( spl5_865
| ~ spl5_153
| ~ spl5_179
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7407,f4273,f3128,f1448,f22973]) ).
fof(f22973,plain,
( spl5_865
<=> sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_865])]) ).
fof(f7407,plain,
( sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_153
| ~ spl5_179
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7300,f7284]) ).
fof(f7300,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_179
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3129]) ).
fof(f22971,plain,
( spl5_864
| ~ spl5_152
| ~ spl5_178
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7406,f4273,f3124,f1444,f22968]) ).
fof(f22968,plain,
( spl5_864
<=> sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_864])]) ).
fof(f7406,plain,
( sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_152
| ~ spl5_178
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7299,f7283]) ).
fof(f7299,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_178
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3125]) ).
fof(f22966,plain,
( spl5_863
| ~ spl5_151
| ~ spl5_177
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7405,f4273,f3120,f1440,f22963]) ).
fof(f22963,plain,
( spl5_863
<=> sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_863])]) ).
fof(f7405,plain,
( sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_151
| ~ spl5_177
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7298,f7282]) ).
fof(f7298,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_177
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3121]) ).
fof(f22961,plain,
( spl5_862
| ~ spl5_10
| ~ spl5_57
| ~ spl5_59
| ~ spl5_86
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13444,f12740,f1160,f717,f525,f517,f275,f22958]) ).
fof(f22958,plain,
( spl5_862
<=> sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_862])]) ).
fof(f13444,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_57
| ~ spl5_59
| ~ spl5_86
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13443,f1164]) ).
fof(f13443,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13398,f1147]) ).
fof(f13398,plain,
( sdtpldt0(sdtasdt0(xS,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_560 ),
inference(resolution,[],[f12741,f277]) ).
fof(f22956,plain,
( spl5_861
| ~ spl5_150
| ~ spl5_176
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7404,f4273,f3116,f1436,f22953]) ).
fof(f22953,plain,
( spl5_861
<=> sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_861])]) ).
fof(f7404,plain,
( sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_150
| ~ spl5_176
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7297,f7281]) ).
fof(f7297,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_176
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3117]) ).
fof(f22951,plain,
( spl5_860
| ~ spl5_149
| ~ spl5_175
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7403,f4273,f3112,f1432,f22948]) ).
fof(f22948,plain,
( spl5_860
<=> sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_860])]) ).
fof(f7403,plain,
( sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_149
| ~ spl5_175
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7296,f7280]) ).
fof(f7296,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_175
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3113]) ).
fof(f22946,plain,
( spl5_859
| ~ spl5_148
| ~ spl5_174
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7402,f4273,f3108,f1428,f22943]) ).
fof(f22943,plain,
( spl5_859
<=> sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_859])]) ).
fof(f7402,plain,
( sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_148
| ~ spl5_174
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7295,f7279]) ).
fof(f7295,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_174
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3109]) ).
fof(f22941,plain,
( spl5_858
| ~ spl5_147
| ~ spl5_173
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7401,f4273,f3104,f1424,f22938]) ).
fof(f22938,plain,
( spl5_858
<=> sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_858])]) ).
fof(f7401,plain,
( sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_147
| ~ spl5_173
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7294,f7278]) ).
fof(f7294,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_173
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3105]) ).
fof(f22936,plain,
( spl5_857
| ~ spl5_146
| ~ spl5_171
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7400,f4273,f3095,f1420,f22933]) ).
fof(f22933,plain,
( spl5_857
<=> sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_857])]) ).
fof(f7400,plain,
( sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_146
| ~ spl5_171
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7293,f7277]) ).
fof(f7293,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_171
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3096]) ).
fof(f22931,plain,
( spl5_856
| ~ spl5_145
| ~ spl5_170
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7399,f4273,f3091,f1416,f22928]) ).
fof(f22928,plain,
( spl5_856
<=> sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_856])]) ).
fof(f7399,plain,
( sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_145
| ~ spl5_170
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7292,f7276]) ).
fof(f7292,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_170
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3092]) ).
fof(f22926,plain,
( spl5_855
| ~ spl5_143
| ~ spl5_169
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7398,f4273,f3087,f1407,f22923]) ).
fof(f22923,plain,
( spl5_855
<=> sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_855])]) ).
fof(f7398,plain,
( sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_143
| ~ spl5_169
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7291,f7275]) ).
fof(f7291,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_169
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3088]) ).
fof(f22921,plain,
( spl5_854
| ~ spl5_142
| ~ spl5_168
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7397,f4273,f3083,f1403,f22918]) ).
fof(f22918,plain,
( spl5_854
<=> sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_854])]) ).
fof(f7397,plain,
( sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_142
| ~ spl5_168
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7290,f7274]) ).
fof(f7290,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_168
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3084]) ).
fof(f22916,plain,
( spl5_853
| ~ spl5_141
| ~ spl5_167
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7396,f4273,f3079,f1399,f22913]) ).
fof(f22913,plain,
( spl5_853
<=> sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_853])]) ).
fof(f7396,plain,
( sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_141
| ~ spl5_167
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7289,f7273]) ).
fof(f7289,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_167
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3080]) ).
fof(f22911,plain,
( spl5_852
| ~ spl5_87
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7255,f4273,f757,f22909]) ).
fof(f22909,plain,
( spl5_852
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_852])]) ).
fof(f7255,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) )
| ~ spl5_87
| ~ spl5_217 ),
inference(resolution,[],[f4274,f758]) ).
fof(f22907,plain,
( spl5_851
| ~ spl5_14
| ~ spl5_57
| ~ spl5_59
| ~ spl5_79
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13442,f12740,f1160,f645,f525,f517,f295,f22904]) ).
fof(f22904,plain,
( spl5_851
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_851])]) ).
fof(f13442,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_57
| ~ spl5_59
| ~ spl5_79
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13441,f1164]) ).
fof(f13441,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13397,f1140]) ).
fof(f13397,plain,
( sdtpldt0(sdtasdt0(xP,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_560 ),
inference(resolution,[],[f12741,f297]) ).
fof(f22902,plain,
( spl5_850
| ~ spl5_85
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7254,f4273,f669,f22900]) ).
fof(f22900,plain,
( spl5_850
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_850])]) ).
fof(f7254,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) )
| ~ spl5_85
| ~ spl5_217 ),
inference(resolution,[],[f4274,f670]) ).
fof(f22898,plain,
( spl5_849
| ~ spl5_216
| ~ spl5_323 ),
inference(avatar_split_clause,[],[f7232,f7077,f4269,f22896]) ).
fof(f22896,plain,
( spl5_849
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_849])]) ).
fof(f7077,plain,
( spl5_323
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_323])]) ).
fof(f7232,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_323 ),
inference(resolution,[],[f7078,f4270]) ).
fof(f7078,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ spl5_323 ),
inference(avatar_component_clause,[],[f7077]) ).
fof(f22894,plain,
( spl5_848
| ~ spl5_215
| ~ spl5_323 ),
inference(avatar_split_clause,[],[f7231,f7077,f4265,f22892]) ).
fof(f22892,plain,
( spl5_848
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_848])]) ).
fof(f7231,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_323 ),
inference(resolution,[],[f7078,f4266]) ).
fof(f22890,plain,
( spl5_847
| ~ spl5_216
| ~ spl5_321 ),
inference(avatar_split_clause,[],[f7206,f7069,f4269,f22888]) ).
fof(f22888,plain,
( spl5_847
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_847])]) ).
fof(f7069,plain,
( spl5_321
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_321])]) ).
fof(f7206,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_321 ),
inference(resolution,[],[f7070,f4270]) ).
fof(f7070,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl5_321 ),
inference(avatar_component_clause,[],[f7069]) ).
fof(f22886,plain,
( spl5_846
| ~ spl5_215
| ~ spl5_321 ),
inference(avatar_split_clause,[],[f7205,f7069,f4265,f22884]) ).
fof(f22884,plain,
( spl5_846
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_846])]) ).
fof(f7205,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_321 ),
inference(resolution,[],[f7070,f4266]) ).
fof(f22882,plain,
( spl5_845
| ~ spl5_216
| ~ spl5_320 ),
inference(avatar_split_clause,[],[f7185,f7065,f4269,f22880]) ).
fof(f22880,plain,
( spl5_845
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_845])]) ).
fof(f7065,plain,
( spl5_320
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_320])]) ).
fof(f7185,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_320 ),
inference(resolution,[],[f7066,f4270]) ).
fof(f7066,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl5_320 ),
inference(avatar_component_clause,[],[f7065]) ).
fof(f22878,plain,
( spl5_844
| ~ spl5_215
| ~ spl5_320 ),
inference(avatar_split_clause,[],[f7184,f7065,f4265,f22876]) ).
fof(f22876,plain,
( spl5_844
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_844])]) ).
fof(f7184,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_320 ),
inference(resolution,[],[f7066,f4266]) ).
fof(f22874,plain,
( spl5_843
| ~ spl5_216
| ~ spl5_318 ),
inference(avatar_split_clause,[],[f7159,f7057,f4269,f22872]) ).
fof(f22872,plain,
( spl5_843
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_843])]) ).
fof(f7057,plain,
( spl5_318
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_318])]) ).
fof(f7159,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_318 ),
inference(resolution,[],[f7058,f4270]) ).
fof(f7058,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_318 ),
inference(avatar_component_clause,[],[f7057]) ).
fof(f22870,plain,
( spl5_842
| ~ spl5_215
| ~ spl5_318 ),
inference(avatar_split_clause,[],[f7158,f7057,f4265,f22868]) ).
fof(f22868,plain,
( spl5_842
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_842])]) ).
fof(f7158,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_318 ),
inference(resolution,[],[f7058,f4266]) ).
fof(f22866,plain,
( spl5_841
| ~ spl5_216
| ~ spl5_317 ),
inference(avatar_split_clause,[],[f7138,f7053,f4269,f22864]) ).
fof(f22864,plain,
( spl5_841
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_841])]) ).
fof(f7053,plain,
( spl5_317
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_317])]) ).
fof(f7138,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_317 ),
inference(resolution,[],[f7054,f4270]) ).
fof(f7054,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_317 ),
inference(avatar_component_clause,[],[f7053]) ).
fof(f22862,plain,
( spl5_840
| ~ spl5_11
| ~ spl5_57
| ~ spl5_59
| ~ spl5_73
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13440,f12740,f1160,f608,f525,f517,f280,f22859]) ).
fof(f22859,plain,
( spl5_840
<=> sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_840])]) ).
fof(f13440,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_57
| ~ spl5_59
| ~ spl5_73
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13439,f1164]) ).
fof(f13439,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13396,f1133]) ).
fof(f13396,plain,
( sdtpldt0(sdtasdt0(xR,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_560 ),
inference(resolution,[],[f12741,f282]) ).
fof(f22857,plain,
( spl5_839
| ~ spl5_215
| ~ spl5_317 ),
inference(avatar_split_clause,[],[f7137,f7053,f4265,f22855]) ).
fof(f22855,plain,
( spl5_839
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_839])]) ).
fof(f7137,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_317 ),
inference(resolution,[],[f7054,f4266]) ).
fof(f22853,plain,
( spl5_838
| ~ spl5_216
| ~ spl5_315 ),
inference(avatar_split_clause,[],[f7112,f7045,f4269,f22851]) ).
fof(f22851,plain,
( spl5_838
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_838])]) ).
fof(f7045,plain,
( spl5_315
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_315])]) ).
fof(f7112,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_315 ),
inference(resolution,[],[f7046,f4270]) ).
fof(f7046,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_315 ),
inference(avatar_component_clause,[],[f7045]) ).
fof(f22849,plain,
( spl5_837
| ~ spl5_215
| ~ spl5_315 ),
inference(avatar_split_clause,[],[f7111,f7045,f4265,f22847]) ).
fof(f22847,plain,
( spl5_837
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_837])]) ).
fof(f7111,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_315 ),
inference(resolution,[],[f7046,f4266]) ).
fof(f22845,plain,
( spl5_836
| ~ spl5_216
| ~ spl5_314 ),
inference(avatar_split_clause,[],[f7091,f6812,f4269,f22843]) ).
fof(f22843,plain,
( spl5_836
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_836])]) ).
fof(f6812,plain,
( spl5_314
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_314])]) ).
fof(f7091,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_314 ),
inference(resolution,[],[f6813,f4270]) ).
fof(f6813,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_314 ),
inference(avatar_component_clause,[],[f6812]) ).
fof(f22841,plain,
( spl5_835
| ~ spl5_215
| ~ spl5_314 ),
inference(avatar_split_clause,[],[f7090,f6812,f4265,f22839]) ).
fof(f22839,plain,
( spl5_835
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_835])]) ).
fof(f7090,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_314 ),
inference(resolution,[],[f6813,f4266]) ).
fof(f22837,plain,
( spl5_834
| ~ spl5_96
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4462,f4269,f944,f22835]) ).
fof(f22835,plain,
( spl5_834
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_834])]) ).
fof(f944,plain,
( spl5_96
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f4462,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96
| ~ spl5_216 ),
inference(resolution,[],[f4270,f945]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f22833,plain,
( spl5_833
| ~ spl5_96
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4316,f4265,f944,f22831]) ).
fof(f22831,plain,
( spl5_833
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_833])]) ).
fof(f4316,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96
| ~ spl5_215 ),
inference(resolution,[],[f4266,f945]) ).
fof(f22764,plain,
( spl5_832
| ~ spl5_61
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1168,f1160,f533,f22761]) ).
fof(f22761,plain,
( spl5_832
<=> sz0z00 = smndt0(smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_832])]) ).
fof(f1168,plain,
( sz0z00 = smndt0(smndt0(sz0z00))
| ~ spl5_61
| ~ spl5_106 ),
inference(resolution,[],[f1162,f534]) ).
fof(f22759,plain,
( spl5_831
| ~ spl5_16
| ~ spl5_57
| ~ spl5_59
| ~ spl5_70
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13438,f12740,f1160,f574,f525,f517,f305,f22756]) ).
fof(f22756,plain,
( spl5_831
<=> sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_831])]) ).
fof(f13438,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_57
| ~ spl5_59
| ~ spl5_70
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13437,f1164]) ).
fof(f13437,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13395,f1126]) ).
fof(f13395,plain,
( sdtpldt0(sdtasdt0(xH,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_560 ),
inference(resolution,[],[f12741,f307]) ).
fof(f22754,plain,
( spl5_830
| ~ spl5_59
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1166,f1160,f525,f22751]) ).
fof(f22751,plain,
( spl5_830
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_830])]) ).
fof(f1166,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl5_59
| ~ spl5_106 ),
inference(resolution,[],[f1162,f526]) ).
fof(f22749,plain,
( spl5_829
| ~ spl5_57
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1164,f1160,f517,f22746]) ).
fof(f22746,plain,
( spl5_829
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_829])]) ).
fof(f22594,plain,
( spl5_828
| ~ spl5_6
| ~ spl5_57
| ~ spl5_59
| ~ spl5_62
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13436,f12740,f1160,f541,f525,f517,f255,f22591]) ).
fof(f22591,plain,
( spl5_828
<=> sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_828])]) ).
fof(f13436,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_57
| ~ spl5_59
| ~ spl5_62
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13435,f1164]) ).
fof(f13435,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13394,f1119]) ).
fof(f13394,plain,
( sdtpldt0(sdtasdt0(xG,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_560 ),
inference(resolution,[],[f12741,f257]) ).
fof(f22429,plain,
( spl5_827
| ~ spl5_7
| ~ spl5_55
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13434,f12740,f1160,f525,f517,f508,f260,f22426]) ).
fof(f22426,plain,
( spl5_827
<=> sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_827])]) ).
fof(f13434,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13433,f1164]) ).
fof(f13433,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13393,f1112]) ).
fof(f13393,plain,
( sdtpldt0(sdtasdt0(xF,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_560 ),
inference(resolution,[],[f12741,f262]) ).
fof(f22263,plain,
( spl5_826
| ~ spl5_15
| ~ spl5_50
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13432,f12740,f1160,f525,f517,f481,f300,f22260]) ).
fof(f22260,plain,
( spl5_826
<=> sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_826])]) ).
fof(f13432,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13431,f1164]) ).
fof(f13431,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13392,f1105]) ).
fof(f13392,plain,
( sdtpldt0(sdtasdt0(xE,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_560 ),
inference(resolution,[],[f12741,f302]) ).
fof(f22097,plain,
( spl5_825
| ~ spl5_9
| ~ spl5_57
| ~ spl5_106
| ~ spl5_209
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13430,f12740,f4011,f1160,f517,f270,f22094]) ).
fof(f22094,plain,
( spl5_825
<=> sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_825])]) ).
fof(f4011,plain,
( spl5_209
<=> sz0z00 = sdtasdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_209])]) ).
fof(f13430,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_57
| ~ spl5_106
| ~ spl5_209
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13429,f1164]) ).
fof(f13429,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_209
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13391,f4013]) ).
fof(f4013,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_209 ),
inference(avatar_component_clause,[],[f4011]) ).
fof(f13391,plain,
( sdtpldt0(sdtasdt0(xD,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_560 ),
inference(resolution,[],[f12741,f272]) ).
fof(f21931,plain,
( spl5_824
| ~ spl5_8
| ~ spl5_57
| ~ spl5_106
| ~ spl5_183
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13428,f12740,f3144,f1160,f517,f265,f21928]) ).
fof(f21928,plain,
( spl5_824
<=> sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_824])]) ).
fof(f3144,plain,
( spl5_183
<=> sz0z00 = sdtasdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f13428,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_57
| ~ spl5_106
| ~ spl5_183
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13427,f1164]) ).
fof(f13427,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_183
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13390,f3146]) ).
fof(f3146,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_183 ),
inference(avatar_component_clause,[],[f3144]) ).
fof(f13390,plain,
( sdtpldt0(sdtasdt0(xC,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_560 ),
inference(resolution,[],[f12741,f267]) ).
fof(f21764,plain,
( spl5_823
| ~ spl5_12
| ~ spl5_57
| ~ spl5_106
| ~ spl5_162
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13426,f12740,f2395,f1160,f517,f285,f21761]) ).
fof(f21761,plain,
( spl5_823
<=> sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_823])]) ).
fof(f13426,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_57
| ~ spl5_106
| ~ spl5_162
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13425,f1164]) ).
fof(f13425,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_162
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13389,f2397]) ).
fof(f13389,plain,
( sdtpldt0(sdtasdt0(xB,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_560 ),
inference(resolution,[],[f12741,f287]) ).
fof(f21729,plain,
( spl5_822
| ~ spl5_10
| ~ spl5_25
| ~ spl5_150 ),
inference(avatar_split_clause,[],[f1868,f1436,f362,f275,f21726]) ).
fof(f21726,plain,
( spl5_822
<=> xN = sdtasdt0(xS,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_822])]) ).
fof(f362,plain,
( spl5_25
<=> xN = sdtasdt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1868,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_10
| ~ spl5_25
| ~ spl5_150 ),
inference(forward_demodulation,[],[f1865,f364]) ).
fof(f364,plain,
( xN = sdtasdt0(xR,xS)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1865,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_10
| ~ spl5_150 ),
inference(resolution,[],[f1437,f277]) ).
fof(f21724,plain,
( spl5_821
| ~ spl5_16
| ~ spl5_32
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1788,f1420,f397,f305,f21721]) ).
fof(f21721,plain,
( spl5_821
<=> xP = sdtasdt0(xH,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_821])]) ).
fof(f397,plain,
( spl5_32
<=> xP = sdtasdt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f1788,plain,
( xP = sdtasdt0(xH,xE)
| ~ spl5_16
| ~ spl5_32
| ~ spl5_146 ),
inference(forward_demodulation,[],[f1782,f399]) ).
fof(f399,plain,
( xP = sdtasdt0(xE,xH)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f1782,plain,
( sdtasdt0(xE,xH) = sdtasdt0(xH,xE)
| ~ spl5_16
| ~ spl5_146 ),
inference(resolution,[],[f1421,f307]) ).
fof(f21719,plain,
( spl5_820
| ~ spl5_7
| ~ spl5_30
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1768,f1416,f387,f260,f21716]) ).
fof(f21716,plain,
( spl5_820
<=> xS = sdtasdt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_820])]) ).
fof(f387,plain,
( spl5_30
<=> xS = sdtasdt0(xF,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f1768,plain,
( xS = sdtasdt0(xD,xF)
| ~ spl5_7
| ~ spl5_30
| ~ spl5_145 ),
inference(forward_demodulation,[],[f1760,f389]) ).
fof(f389,plain,
( xS = sdtasdt0(xF,xD)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1760,plain,
( sdtasdt0(xF,xD) = sdtasdt0(xD,xF)
| ~ spl5_7
| ~ spl5_145 ),
inference(resolution,[],[f1417,f262]) ).
fof(f21714,plain,
( spl5_819
| ~ spl5_6
| ~ spl5_31
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1748,f1407,f392,f255,f21711]) ).
fof(f21711,plain,
( spl5_819
<=> xR = sdtasdt0(xG,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_819])]) ).
fof(f392,plain,
( spl5_31
<=> xR = sdtasdt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1748,plain,
( xR = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_31
| ~ spl5_143 ),
inference(forward_demodulation,[],[f1741,f394]) ).
fof(f394,plain,
( xR = sdtasdt0(xC,xG)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1741,plain,
( sdtasdt0(xC,xG) = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_143 ),
inference(resolution,[],[f1408,f257]) ).
fof(f21709,plain,
( spl5_818
| ~ spl5_12
| ~ spl5_34
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1708,f1399,f407,f285,f21706]) ).
fof(f21706,plain,
( spl5_818
<=> xH = sdtasdt0(xB,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_818])]) ).
fof(f407,plain,
( spl5_34
<=> xH = sdtasdt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f1708,plain,
( xH = sdtasdt0(xB,xA)
| ~ spl5_12
| ~ spl5_34
| ~ spl5_141 ),
inference(forward_demodulation,[],[f1696,f409]) ).
fof(f409,plain,
( xH = sdtasdt0(xA,xB)
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1696,plain,
( sdtasdt0(xA,xB) = sdtasdt0(xB,xA)
| ~ spl5_12
| ~ spl5_141 ),
inference(resolution,[],[f1400,f287]) ).
fof(f21652,plain,
( spl5_817
| ~ spl5_13
| ~ spl5_57
| ~ spl5_106
| ~ spl5_144
| ~ spl5_560 ),
inference(avatar_split_clause,[],[f13424,f12740,f1411,f1160,f517,f290,f21649]) ).
fof(f21649,plain,
( spl5_817
<=> sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_817])]) ).
fof(f13424,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_57
| ~ spl5_106
| ~ spl5_144
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13423,f1164]) ).
fof(f13423,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_144
| ~ spl5_560 ),
inference(forward_demodulation,[],[f13388,f1413]) ).
fof(f13388,plain,
( sdtpldt0(sdtasdt0(xA,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_560 ),
inference(resolution,[],[f12741,f292]) ).
fof(f21617,plain,
( spl5_816
| ~ spl5_61
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1156,f818,f533,f21614]) ).
fof(f21614,plain,
( spl5_816
<=> xN = smndt0(smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_816])]) ).
fof(f1156,plain,
( xN = smndt0(smndt0(xN))
| ~ spl5_61
| ~ spl5_88 ),
inference(resolution,[],[f820,f534]) ).
fof(f21612,plain,
( spl5_815
| ~ spl5_60
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1155,f818,f529,f21609]) ).
fof(f21609,plain,
( spl5_815
<=> sz0z00 = sdtasdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_815])]) ).
fof(f21607,plain,
( spl5_814
| ~ spl5_59
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1154,f818,f525,f21604]) ).
fof(f21604,plain,
( spl5_814
<=> sz0z00 = sdtasdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_814])]) ).
fof(f21602,plain,
( spl5_813
| ~ spl5_58
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1153,f818,f521,f21599]) ).
fof(f21599,plain,
( spl5_813
<=> xN = sdtpldt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_813])]) ).
fof(f1153,plain,
( xN = sdtpldt0(sz0z00,xN)
| ~ spl5_58
| ~ spl5_88 ),
inference(resolution,[],[f820,f522]) ).
fof(f21597,plain,
( spl5_812
| ~ spl5_57
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1152,f818,f517,f21594]) ).
fof(f21594,plain,
( spl5_812
<=> xN = sdtpldt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_812])]) ).
fof(f1152,plain,
( xN = sdtpldt0(xN,sz0z00)
| ~ spl5_57
| ~ spl5_88 ),
inference(resolution,[],[f820,f518]) ).
fof(f21592,plain,
( spl5_811
| ~ spl5_61
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1149,f717,f533,f21589]) ).
fof(f21589,plain,
( spl5_811
<=> xS = smndt0(smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_811])]) ).
fof(f1149,plain,
( xS = smndt0(smndt0(xS))
| ~ spl5_61
| ~ spl5_86 ),
inference(resolution,[],[f719,f534]) ).
fof(f21587,plain,
( spl5_810
| ~ spl5_60
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1148,f717,f529,f21584]) ).
fof(f21584,plain,
( spl5_810
<=> sz0z00 = sdtasdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_810])]) ).
fof(f21582,plain,
( spl5_809
| ~ spl5_59
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1147,f717,f525,f21579]) ).
fof(f21579,plain,
( spl5_809
<=> sz0z00 = sdtasdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_809])]) ).
fof(f21577,plain,
( spl5_808
| ~ spl5_5
| ~ spl5_57
| ~ spl5_59
| ~ spl5_88
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13370,f12736,f1160,f818,f525,f517,f250,f21574]) ).
fof(f21574,plain,
( spl5_808
<=> sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_808])]) ).
fof(f12736,plain,
( spl5_559
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_559])]) ).
fof(f13370,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_57
| ~ spl5_59
| ~ spl5_88
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13369,f1164]) ).
fof(f13369,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13324,f1154]) ).
fof(f13324,plain,
( sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xN,sz0z00),sz0z00)
| ~ spl5_5
| ~ spl5_559 ),
inference(resolution,[],[f12737,f252]) ).
fof(f12737,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl5_559 ),
inference(avatar_component_clause,[],[f12736]) ).
fof(f21572,plain,
( spl5_807
| ~ spl5_58
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1146,f717,f521,f21569]) ).
fof(f21569,plain,
( spl5_807
<=> xS = sdtpldt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_807])]) ).
fof(f1146,plain,
( xS = sdtpldt0(sz0z00,xS)
| ~ spl5_58
| ~ spl5_86 ),
inference(resolution,[],[f719,f522]) ).
fof(f21567,plain,
( spl5_806
| ~ spl5_57
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1145,f717,f517,f21564]) ).
fof(f21564,plain,
( spl5_806
<=> xS = sdtpldt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_806])]) ).
fof(f1145,plain,
( xS = sdtpldt0(xS,sz0z00)
| ~ spl5_57
| ~ spl5_86 ),
inference(resolution,[],[f719,f518]) ).
fof(f21562,plain,
( spl5_805
| ~ spl5_61
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1142,f645,f533,f21559]) ).
fof(f21559,plain,
( spl5_805
<=> xP = smndt0(smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_805])]) ).
fof(f1142,plain,
( xP = smndt0(smndt0(xP))
| ~ spl5_61
| ~ spl5_79 ),
inference(resolution,[],[f647,f534]) ).
fof(f21557,plain,
( spl5_804
| ~ spl5_60
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1141,f645,f529,f21554]) ).
fof(f21554,plain,
( spl5_804
<=> sz0z00 = sdtasdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_804])]) ).
fof(f21552,plain,
( spl5_803
| ~ spl5_59
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1140,f645,f525,f21549]) ).
fof(f21549,plain,
( spl5_803
<=> sz0z00 = sdtasdt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_803])]) ).
fof(f21547,plain,
( spl5_802
| ~ spl5_58
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1139,f645,f521,f21544]) ).
fof(f21544,plain,
( spl5_802
<=> xP = sdtpldt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_802])]) ).
fof(f1139,plain,
( xP = sdtpldt0(sz0z00,xP)
| ~ spl5_58
| ~ spl5_79 ),
inference(resolution,[],[f647,f522]) ).
fof(f21542,plain,
( spl5_801
| ~ spl5_57
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1138,f645,f517,f21539]) ).
fof(f21539,plain,
( spl5_801
<=> xP = sdtpldt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_801])]) ).
fof(f1138,plain,
( xP = sdtpldt0(xP,sz0z00)
| ~ spl5_57
| ~ spl5_79 ),
inference(resolution,[],[f647,f518]) ).
fof(f21537,plain,
( spl5_800
| ~ spl5_61
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1135,f608,f533,f21534]) ).
fof(f21534,plain,
( spl5_800
<=> xR = smndt0(smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_800])]) ).
fof(f1135,plain,
( xR = smndt0(smndt0(xR))
| ~ spl5_61
| ~ spl5_73 ),
inference(resolution,[],[f610,f534]) ).
fof(f21532,plain,
( spl5_799
| ~ spl5_60
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1134,f608,f529,f21529]) ).
fof(f21529,plain,
( spl5_799
<=> sz0z00 = sdtasdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_799])]) ).
fof(f21527,plain,
( spl5_798
| ~ spl5_59
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1133,f608,f525,f21524]) ).
fof(f21524,plain,
( spl5_798
<=> sz0z00 = sdtasdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_798])]) ).
fof(f21522,plain,
( spl5_797
| ~ spl5_10
| ~ spl5_57
| ~ spl5_59
| ~ spl5_86
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13368,f12736,f1160,f717,f525,f517,f275,f21519]) ).
fof(f21519,plain,
( spl5_797
<=> sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_797])]) ).
fof(f13368,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_57
| ~ spl5_59
| ~ spl5_86
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13367,f1164]) ).
fof(f13367,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13323,f1147]) ).
fof(f13323,plain,
( sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xS,sz0z00),sz0z00)
| ~ spl5_10
| ~ spl5_559 ),
inference(resolution,[],[f12737,f277]) ).
fof(f21517,plain,
( spl5_796
| ~ spl5_58
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1132,f608,f521,f21514]) ).
fof(f21514,plain,
( spl5_796
<=> xR = sdtpldt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_796])]) ).
fof(f1132,plain,
( xR = sdtpldt0(sz0z00,xR)
| ~ spl5_58
| ~ spl5_73 ),
inference(resolution,[],[f610,f522]) ).
fof(f21512,plain,
( spl5_795
| ~ spl5_57
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1131,f608,f517,f21509]) ).
fof(f21509,plain,
( spl5_795
<=> xR = sdtpldt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_795])]) ).
fof(f1131,plain,
( xR = sdtpldt0(xR,sz0z00)
| ~ spl5_57
| ~ spl5_73 ),
inference(resolution,[],[f610,f518]) ).
fof(f21507,plain,
( spl5_794
| ~ spl5_61
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1128,f574,f533,f21504]) ).
fof(f21504,plain,
( spl5_794
<=> xH = smndt0(smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_794])]) ).
fof(f1128,plain,
( xH = smndt0(smndt0(xH))
| ~ spl5_61
| ~ spl5_70 ),
inference(resolution,[],[f576,f534]) ).
fof(f21502,plain,
( spl5_793
| ~ spl5_60
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1127,f574,f529,f21499]) ).
fof(f21499,plain,
( spl5_793
<=> sz0z00 = sdtasdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_793])]) ).
fof(f21497,plain,
( spl5_792
| ~ spl5_59
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1126,f574,f525,f21494]) ).
fof(f21494,plain,
( spl5_792
<=> sz0z00 = sdtasdt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_792])]) ).
fof(f21492,plain,
( spl5_791
| ~ spl5_58
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1125,f574,f521,f21489]) ).
fof(f21489,plain,
( spl5_791
<=> xH = sdtpldt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_791])]) ).
fof(f1125,plain,
( xH = sdtpldt0(sz0z00,xH)
| ~ spl5_58
| ~ spl5_70 ),
inference(resolution,[],[f576,f522]) ).
fof(f21487,plain,
( spl5_790
| ~ spl5_57
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1124,f574,f517,f21484]) ).
fof(f21484,plain,
( spl5_790
<=> xH = sdtpldt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_790])]) ).
fof(f1124,plain,
( xH = sdtpldt0(xH,sz0z00)
| ~ spl5_57
| ~ spl5_70 ),
inference(resolution,[],[f576,f518]) ).
fof(f21482,plain,
( spl5_789
| ~ spl5_61
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1121,f541,f533,f21479]) ).
fof(f21479,plain,
( spl5_789
<=> xG = smndt0(smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_789])]) ).
fof(f1121,plain,
( xG = smndt0(smndt0(xG))
| ~ spl5_61
| ~ spl5_62 ),
inference(resolution,[],[f543,f534]) ).
fof(f21477,plain,
( spl5_788
| ~ spl5_60
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1120,f541,f529,f21474]) ).
fof(f21474,plain,
( spl5_788
<=> sz0z00 = sdtasdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_788])]) ).
fof(f21472,plain,
( spl5_787
| ~ spl5_59
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1119,f541,f525,f21469]) ).
fof(f21469,plain,
( spl5_787
<=> sz0z00 = sdtasdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_787])]) ).
fof(f21467,plain,
( spl5_786
| ~ spl5_14
| ~ spl5_57
| ~ spl5_59
| ~ spl5_79
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13366,f12736,f1160,f645,f525,f517,f295,f21464]) ).
fof(f21464,plain,
( spl5_786
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_786])]) ).
fof(f13366,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_57
| ~ spl5_59
| ~ spl5_79
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13365,f1164]) ).
fof(f13365,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13322,f1140]) ).
fof(f13322,plain,
( sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xP,sz0z00),sz0z00)
| ~ spl5_14
| ~ spl5_559 ),
inference(resolution,[],[f12737,f297]) ).
fof(f21462,plain,
( spl5_785
| ~ spl5_58
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1118,f541,f521,f21459]) ).
fof(f21459,plain,
( spl5_785
<=> xG = sdtpldt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_785])]) ).
fof(f1118,plain,
( xG = sdtpldt0(sz0z00,xG)
| ~ spl5_58
| ~ spl5_62 ),
inference(resolution,[],[f543,f522]) ).
fof(f21457,plain,
( spl5_784
| ~ spl5_57
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1117,f541,f517,f21454]) ).
fof(f21454,plain,
( spl5_784
<=> xG = sdtpldt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_784])]) ).
fof(f1117,plain,
( xG = sdtpldt0(xG,sz0z00)
| ~ spl5_57
| ~ spl5_62 ),
inference(resolution,[],[f543,f518]) ).
fof(f21452,plain,
( spl5_783
| ~ spl5_55
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1114,f533,f508,f21449]) ).
fof(f21449,plain,
( spl5_783
<=> xF = smndt0(smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_783])]) ).
fof(f1114,plain,
( xF = smndt0(smndt0(xF))
| ~ spl5_55
| ~ spl5_61 ),
inference(resolution,[],[f510,f534]) ).
fof(f21447,plain,
( spl5_782
| ~ spl5_55
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1113,f529,f508,f21444]) ).
fof(f21444,plain,
( spl5_782
<=> sz0z00 = sdtasdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_782])]) ).
fof(f21442,plain,
( spl5_781
| ~ spl5_55
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1112,f525,f508,f21439]) ).
fof(f21439,plain,
( spl5_781
<=> sz0z00 = sdtasdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_781])]) ).
fof(f21437,plain,
( spl5_780
| ~ spl5_55
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1111,f521,f508,f21434]) ).
fof(f21434,plain,
( spl5_780
<=> xF = sdtpldt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_780])]) ).
fof(f1111,plain,
( xF = sdtpldt0(sz0z00,xF)
| ~ spl5_55
| ~ spl5_58 ),
inference(resolution,[],[f510,f522]) ).
fof(f21432,plain,
( spl5_779
| ~ spl5_55
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1110,f517,f508,f21429]) ).
fof(f21429,plain,
( spl5_779
<=> xF = sdtpldt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_779])]) ).
fof(f1110,plain,
( xF = sdtpldt0(xF,sz0z00)
| ~ spl5_55
| ~ spl5_57 ),
inference(resolution,[],[f510,f518]) ).
fof(f21427,plain,
( spl5_778
| ~ spl5_50
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1107,f533,f481,f21424]) ).
fof(f21424,plain,
( spl5_778
<=> xE = smndt0(smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_778])]) ).
fof(f1107,plain,
( xE = smndt0(smndt0(xE))
| ~ spl5_50
| ~ spl5_61 ),
inference(resolution,[],[f483,f534]) ).
fof(f21422,plain,
( spl5_777
| ~ spl5_50
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1106,f529,f481,f21419]) ).
fof(f21419,plain,
( spl5_777
<=> sz0z00 = sdtasdt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_777])]) ).
fof(f21417,plain,
( spl5_776
| ~ spl5_50
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1105,f525,f481,f21414]) ).
fof(f21414,plain,
( spl5_776
<=> sz0z00 = sdtasdt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_776])]) ).
fof(f21412,plain,
( spl5_775
| ~ spl5_11
| ~ spl5_57
| ~ spl5_59
| ~ spl5_73
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13364,f12736,f1160,f608,f525,f517,f280,f21409]) ).
fof(f21409,plain,
( spl5_775
<=> sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_775])]) ).
fof(f13364,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_57
| ~ spl5_59
| ~ spl5_73
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13363,f1164]) ).
fof(f13363,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13321,f1133]) ).
fof(f13321,plain,
( sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xR,sz0z00),sz0z00)
| ~ spl5_11
| ~ spl5_559 ),
inference(resolution,[],[f12737,f282]) ).
fof(f21407,plain,
( spl5_774
| ~ spl5_50
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1104,f521,f481,f21404]) ).
fof(f21404,plain,
( spl5_774
<=> xE = sdtpldt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_774])]) ).
fof(f1104,plain,
( xE = sdtpldt0(sz0z00,xE)
| ~ spl5_50
| ~ spl5_58 ),
inference(resolution,[],[f483,f522]) ).
fof(f21402,plain,
( spl5_773
| ~ spl5_50
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1103,f517,f481,f21399]) ).
fof(f21399,plain,
( spl5_773
<=> xE = sdtpldt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_773])]) ).
fof(f1103,plain,
( xE = sdtpldt0(xE,sz0z00)
| ~ spl5_50
| ~ spl5_57 ),
inference(resolution,[],[f483,f518]) ).
fof(f21397,plain,
( spl5_772
| ~ spl5_42
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1100,f533,f445,f21394]) ).
fof(f21394,plain,
( spl5_772
<=> xD = smndt0(smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_772])]) ).
fof(f1100,plain,
( xD = smndt0(smndt0(xD))
| ~ spl5_42
| ~ spl5_61 ),
inference(resolution,[],[f447,f534]) ).
fof(f21391,plain,
( spl5_771
| ~ spl5_159
| ~ spl5_166
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14112,f4277,f3014,f1941,f21388]) ).
fof(f21388,plain,
( spl5_771
<=> sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_771])]) ).
fof(f3014,plain,
( spl5_166
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f14112,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_166
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13954,f13952]) ).
fof(f13954,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00))
| ~ spl5_166
| ~ spl5_218 ),
inference(resolution,[],[f4278,f3015]) ).
fof(f3015,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00)) )
| ~ spl5_166 ),
inference(avatar_component_clause,[],[f3014]) ).
fof(f21362,plain,
( spl5_770
| ~ spl5_60
| ~ spl5_567
| ~ spl5_769 ),
inference(avatar_split_clause,[],[f21357,f21353,f14359,f529,f21359]) ).
fof(f21359,plain,
( spl5_770
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_770])]) ).
fof(f21353,plain,
( spl5_769
<=> sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_769])]) ).
fof(f21357,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_60
| ~ spl5_567
| ~ spl5_769 ),
inference(forward_demodulation,[],[f21355,f14366]) ).
fof(f21355,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_769 ),
inference(avatar_component_clause,[],[f21353]) ).
fof(f21356,plain,
( spl5_769
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f14111,f4277,f2012,f1941,f21353]) ).
fof(f14111,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218 ),
inference(forward_demodulation,[],[f13953,f13952]) ).
fof(f13953,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_160
| ~ spl5_218 ),
inference(resolution,[],[f4278,f2013]) ).
fof(f21350,plain,
( spl5_768
| ~ spl5_159
| ~ spl5_166
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7395,f4273,f3014,f1941,f21347]) ).
fof(f21347,plain,
( spl5_768
<=> sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_768])]) ).
fof(f7395,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_166
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7288,f7286]) ).
fof(f7288,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00))
| ~ spl5_166
| ~ spl5_217 ),
inference(resolution,[],[f4274,f3015]) ).
fof(f21321,plain,
( spl5_767
| ~ spl5_60
| ~ spl5_390
| ~ spl5_765 ),
inference(avatar_split_clause,[],[f21311,f21307,f9231,f529,f21318]) ).
fof(f21318,plain,
( spl5_767
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_767])]) ).
fof(f21307,plain,
( spl5_765
<=> sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_765])]) ).
fof(f21311,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_60
| ~ spl5_390
| ~ spl5_765 ),
inference(forward_demodulation,[],[f21309,f9238]) ).
fof(f21309,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_765 ),
inference(avatar_component_clause,[],[f21307]) ).
fof(f21316,plain,
( spl5_766
| ~ spl5_16
| ~ spl5_57
| ~ spl5_59
| ~ spl5_70
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13362,f12736,f1160,f574,f525,f517,f305,f21313]) ).
fof(f21313,plain,
( spl5_766
<=> sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_766])]) ).
fof(f13362,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_57
| ~ spl5_59
| ~ spl5_70
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13361,f1164]) ).
fof(f13361,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13320,f1126]) ).
fof(f13320,plain,
( sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xH,sz0z00),sz0z00)
| ~ spl5_16
| ~ spl5_559 ),
inference(resolution,[],[f12737,f307]) ).
fof(f21310,plain,
( spl5_765
| ~ spl5_159
| ~ spl5_160
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7394,f4273,f2012,f1941,f21307]) ).
fof(f7394,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_159
| ~ spl5_160
| ~ spl5_217 ),
inference(forward_demodulation,[],[f7287,f7286]) ).
fof(f7287,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_160
| ~ spl5_217 ),
inference(resolution,[],[f4274,f2013]) ).
fof(f21125,plain,
( spl5_764
| ~ spl5_6
| ~ spl5_57
| ~ spl5_59
| ~ spl5_62
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13360,f12736,f1160,f541,f525,f517,f255,f21122]) ).
fof(f21122,plain,
( spl5_764
<=> sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_764])]) ).
fof(f13360,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_57
| ~ spl5_59
| ~ spl5_62
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13359,f1164]) ).
fof(f13359,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13319,f1119]) ).
fof(f13319,plain,
( sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xG,sz0z00),sz0z00)
| ~ spl5_6
| ~ spl5_559 ),
inference(resolution,[],[f12737,f257]) ).
fof(f20990,plain,
( spl5_763
| ~ spl5_7
| ~ spl5_55
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13358,f12736,f1160,f525,f517,f508,f260,f20987]) ).
fof(f20987,plain,
( spl5_763
<=> sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_763])]) ).
fof(f13358,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13357,f1164]) ).
fof(f13357,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13318,f1112]) ).
fof(f13318,plain,
( sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xF,sz0z00),sz0z00)
| ~ spl5_7
| ~ spl5_559 ),
inference(resolution,[],[f12737,f262]) ).
fof(f20835,plain,
( spl5_762
| ~ spl5_15
| ~ spl5_50
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13356,f12736,f1160,f525,f517,f481,f300,f20832]) ).
fof(f20832,plain,
( spl5_762
<=> sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_762])]) ).
fof(f13356,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_57
| ~ spl5_59
| ~ spl5_106
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13355,f1164]) ).
fof(f13355,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13317,f1105]) ).
fof(f13317,plain,
( sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xE,sz0z00),sz0z00)
| ~ spl5_15
| ~ spl5_559 ),
inference(resolution,[],[f12737,f302]) ).
fof(f20660,plain,
( spl5_761
| ~ spl5_9
| ~ spl5_57
| ~ spl5_106
| ~ spl5_209
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13354,f12736,f4011,f1160,f517,f270,f20657]) ).
fof(f20657,plain,
( spl5_761
<=> sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_761])]) ).
fof(f13354,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_57
| ~ spl5_106
| ~ spl5_209
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13353,f1164]) ).
fof(f13353,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_209
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13316,f4013]) ).
fof(f13316,plain,
( sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xD,sz0z00),sz0z00)
| ~ spl5_9
| ~ spl5_559 ),
inference(resolution,[],[f12737,f272]) ).
fof(f20531,plain,
( spl5_760
| ~ spl5_8
| ~ spl5_57
| ~ spl5_106
| ~ spl5_183
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13352,f12736,f3144,f1160,f517,f265,f20528]) ).
fof(f20528,plain,
( spl5_760
<=> sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_760])]) ).
fof(f13352,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_57
| ~ spl5_106
| ~ spl5_183
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13351,f1164]) ).
fof(f13351,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_183
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13315,f3146]) ).
fof(f13315,plain,
( sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xC,sz0z00),sz0z00)
| ~ spl5_8
| ~ spl5_559 ),
inference(resolution,[],[f12737,f267]) ).
fof(f20129,plain,
( spl5_759
| ~ spl5_12
| ~ spl5_57
| ~ spl5_106
| ~ spl5_162
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13350,f12736,f2395,f1160,f517,f285,f20126]) ).
fof(f20126,plain,
( spl5_759
<=> sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_759])]) ).
fof(f13350,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_57
| ~ spl5_106
| ~ spl5_162
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13349,f1164]) ).
fof(f13349,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_162
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13314,f2397]) ).
fof(f13314,plain,
( sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xB,sz0z00),sz0z00)
| ~ spl5_12
| ~ spl5_559 ),
inference(resolution,[],[f12737,f287]) ).
fof(f19623,plain,
( spl5_758
| ~ spl5_13
| ~ spl5_57
| ~ spl5_106
| ~ spl5_144
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f13348,f12736,f1411,f1160,f517,f290,f19620]) ).
fof(f19620,plain,
( spl5_758
<=> sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_758])]) ).
fof(f13348,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_57
| ~ spl5_106
| ~ spl5_144
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13347,f1164]) ).
fof(f13347,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_144
| ~ spl5_559 ),
inference(forward_demodulation,[],[f13313,f1413]) ).
fof(f13313,plain,
( sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xA,sz0z00),sz0z00)
| ~ spl5_13
| ~ spl5_559 ),
inference(resolution,[],[f12737,f292]) ).
fof(f18047,plain,
( spl5_757
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12660,f11089,f818,f525,f250,f18044]) ).
fof(f18044,plain,
( spl5_757
<=> sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_757])]) ).
fof(f11089,plain,
( spl5_538
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_538])]) ).
fof(f12660,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12634,f1154]) ).
fof(f12634,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_538 ),
inference(resolution,[],[f11090,f252]) ).
fof(f11090,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) )
| ~ spl5_538 ),
inference(avatar_component_clause,[],[f11089]) ).
fof(f17642,plain,
( spl5_756
| ~ spl5_159
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13952,f4277,f1941,f17639]) ).
fof(f17639,plain,
( spl5_756
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_756])]) ).
fof(f17637,plain,
( spl5_755
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12659,f11089,f717,f525,f275,f17634]) ).
fof(f17634,plain,
( spl5_755
<=> sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_755])]) ).
fof(f12659,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12633,f1147]) ).
fof(f12633,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_538 ),
inference(resolution,[],[f11090,f277]) ).
fof(f17631,plain,
( spl5_754
| ~ spl5_158
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13951,f4277,f1937,f17628]) ).
fof(f17628,plain,
( spl5_754
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_754])]) ).
fof(f17626,plain,
( spl5_753
| ~ spl5_153
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13950,f4277,f1448,f17623]) ).
fof(f17623,plain,
( spl5_753
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_753])]) ).
fof(f17621,plain,
( spl5_752
| ~ spl5_152
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13949,f4277,f1444,f17618]) ).
fof(f17618,plain,
( spl5_752
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_752])]) ).
fof(f17616,plain,
( spl5_751
| ~ spl5_151
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13948,f4277,f1440,f17613]) ).
fof(f17613,plain,
( spl5_751
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_751])]) ).
fof(f17611,plain,
( spl5_750
| ~ spl5_150
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13947,f4277,f1436,f17608]) ).
fof(f17608,plain,
( spl5_750
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_750])]) ).
fof(f17606,plain,
( spl5_749
| ~ spl5_149
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13946,f4277,f1432,f17603]) ).
fof(f17603,plain,
( spl5_749
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_749])]) ).
fof(f17601,plain,
( spl5_748
| ~ spl5_148
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13945,f4277,f1428,f17598]) ).
fof(f17598,plain,
( spl5_748
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_748])]) ).
fof(f17596,plain,
( spl5_747
| ~ spl5_147
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13944,f4277,f1424,f17593]) ).
fof(f17593,plain,
( spl5_747
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_747])]) ).
fof(f17591,plain,
( spl5_746
| ~ spl5_146
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13943,f4277,f1420,f17588]) ).
fof(f17588,plain,
( spl5_746
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_746])]) ).
fof(f17586,plain,
( spl5_745
| ~ spl5_145
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13942,f4277,f1416,f17583]) ).
fof(f17583,plain,
( spl5_745
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_745])]) ).
fof(f17581,plain,
( spl5_744
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12658,f11089,f645,f525,f295,f17578]) ).
fof(f17578,plain,
( spl5_744
<=> sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_744])]) ).
fof(f12658,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12632,f1140]) ).
fof(f12632,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_538 ),
inference(resolution,[],[f11090,f297]) ).
fof(f17576,plain,
( spl5_743
| ~ spl5_143
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13941,f4277,f1407,f17573]) ).
fof(f17573,plain,
( spl5_743
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_743])]) ).
fof(f17571,plain,
( spl5_742
| ~ spl5_142
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13940,f4277,f1403,f17568]) ).
fof(f17568,plain,
( spl5_742
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_742])]) ).
fof(f17566,plain,
( spl5_741
| ~ spl5_141
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13939,f4277,f1399,f17563]) ).
fof(f17563,plain,
( spl5_741
<=> sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_741])]) ).
fof(f17561,plain,
( spl5_740
| ~ spl5_140
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13938,f4277,f1395,f17558]) ).
fof(f17558,plain,
( spl5_740
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_740])]) ).
fof(f17556,plain,
( spl5_739
| ~ spl5_139
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13937,f4277,f1391,f17553]) ).
fof(f17553,plain,
( spl5_739
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_739])]) ).
fof(f17551,plain,
( spl5_738
| ~ spl5_138
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13936,f4277,f1387,f17548]) ).
fof(f17548,plain,
( spl5_738
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_738])]) ).
fof(f17546,plain,
( spl5_737
| ~ spl5_137
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13935,f4277,f1383,f17543]) ).
fof(f17543,plain,
( spl5_737
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_737])]) ).
fof(f17541,plain,
( spl5_736
| ~ spl5_136
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13934,f4277,f1379,f17538]) ).
fof(f17538,plain,
( spl5_736
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_736])]) ).
fof(f17536,plain,
( spl5_735
| ~ spl5_135
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13933,f4277,f1375,f17533]) ).
fof(f17533,plain,
( spl5_735
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_735])]) ).
fof(f17531,plain,
( spl5_734
| ~ spl5_134
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13932,f4277,f1371,f17528]) ).
fof(f17528,plain,
( spl5_734
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_734])]) ).
fof(f17526,plain,
( spl5_733
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12657,f11089,f608,f525,f280,f17523]) ).
fof(f17523,plain,
( spl5_733
<=> sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_733])]) ).
fof(f12657,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12631,f1133]) ).
fof(f12631,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_538 ),
inference(resolution,[],[f11090,f282]) ).
fof(f17521,plain,
( spl5_732
| ~ spl5_132
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13931,f4277,f1362,f17518]) ).
fof(f17518,plain,
( spl5_732
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_732])]) ).
fof(f17516,plain,
( spl5_731
| ~ spl5_131
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13930,f4277,f1358,f17513]) ).
fof(f17513,plain,
( spl5_731
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_731])]) ).
fof(f17511,plain,
( spl5_730
| ~ spl5_130
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13929,f4277,f1354,f17508]) ).
fof(f17508,plain,
( spl5_730
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_730])]) ).
fof(f17506,plain,
( spl5_729
| ~ spl5_129
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13928,f4277,f1350,f17503]) ).
fof(f17503,plain,
( spl5_729
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_729])]) ).
fof(f17501,plain,
( spl5_728
| ~ spl5_128
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13927,f4277,f1346,f17498]) ).
fof(f17498,plain,
( spl5_728
<=> sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_728])]) ).
fof(f17495,plain,
( spl5_727
| ~ spl5_159
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7286,f4273,f1941,f17492]) ).
fof(f17492,plain,
( spl5_727
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_727])]) ).
fof(f17489,plain,
( spl5_726
| ~ spl5_158
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7285,f4273,f1937,f17486]) ).
fof(f17486,plain,
( spl5_726
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_726])]) ).
fof(f17484,plain,
( spl5_725
| ~ spl5_153
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7284,f4273,f1448,f17481]) ).
fof(f17481,plain,
( spl5_725
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_725])]) ).
fof(f17479,plain,
( spl5_724
| ~ spl5_152
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7283,f4273,f1444,f17476]) ).
fof(f17476,plain,
( spl5_724
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_724])]) ).
fof(f17474,plain,
( spl5_723
| ~ spl5_151
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7282,f4273,f1440,f17471]) ).
fof(f17471,plain,
( spl5_723
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_723])]) ).
fof(f17469,plain,
( spl5_722
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12656,f11089,f574,f525,f305,f17466]) ).
fof(f17466,plain,
( spl5_722
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_722])]) ).
fof(f12656,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12630,f1126]) ).
fof(f12630,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_538 ),
inference(resolution,[],[f11090,f307]) ).
fof(f17464,plain,
( spl5_721
| ~ spl5_150
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7281,f4273,f1436,f17461]) ).
fof(f17461,plain,
( spl5_721
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_721])]) ).
fof(f17459,plain,
( spl5_720
| ~ spl5_149
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7280,f4273,f1432,f17456]) ).
fof(f17456,plain,
( spl5_720
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_720])]) ).
fof(f17454,plain,
( spl5_719
| ~ spl5_148
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7279,f4273,f1428,f17451]) ).
fof(f17451,plain,
( spl5_719
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_719])]) ).
fof(f17449,plain,
( spl5_718
| ~ spl5_147
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7278,f4273,f1424,f17446]) ).
fof(f17446,plain,
( spl5_718
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_718])]) ).
fof(f17444,plain,
( spl5_717
| ~ spl5_146
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7277,f4273,f1420,f17441]) ).
fof(f17441,plain,
( spl5_717
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_717])]) ).
fof(f17439,plain,
( spl5_716
| ~ spl5_145
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7276,f4273,f1416,f17436]) ).
fof(f17436,plain,
( spl5_716
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_716])]) ).
fof(f17434,plain,
( spl5_715
| ~ spl5_143
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7275,f4273,f1407,f17431]) ).
fof(f17431,plain,
( spl5_715
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_715])]) ).
fof(f17429,plain,
( spl5_714
| ~ spl5_142
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7274,f4273,f1403,f17426]) ).
fof(f17426,plain,
( spl5_714
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_714])]) ).
fof(f17424,plain,
( spl5_713
| ~ spl5_141
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7273,f4273,f1399,f17421]) ).
fof(f17421,plain,
( spl5_713
<=> sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_713])]) ).
fof(f17419,plain,
( spl5_712
| ~ spl5_140
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7272,f4273,f1395,f17416]) ).
fof(f17416,plain,
( spl5_712
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_712])]) ).
fof(f17414,plain,
( spl5_711
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12655,f11089,f541,f525,f255,f17411]) ).
fof(f17411,plain,
( spl5_711
<=> sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_711])]) ).
fof(f12655,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12629,f1119]) ).
fof(f12629,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_538 ),
inference(resolution,[],[f11090,f257]) ).
fof(f17409,plain,
( spl5_710
| ~ spl5_139
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7271,f4273,f1391,f17406]) ).
fof(f17406,plain,
( spl5_710
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_710])]) ).
fof(f17404,plain,
( spl5_709
| ~ spl5_138
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7270,f4273,f1387,f17401]) ).
fof(f17401,plain,
( spl5_709
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_709])]) ).
fof(f17399,plain,
( spl5_708
| ~ spl5_137
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7269,f4273,f1383,f17396]) ).
fof(f17396,plain,
( spl5_708
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_708])]) ).
fof(f17394,plain,
( spl5_707
| ~ spl5_136
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7268,f4273,f1379,f17391]) ).
fof(f17391,plain,
( spl5_707
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_707])]) ).
fof(f17389,plain,
( spl5_706
| ~ spl5_135
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7267,f4273,f1375,f17386]) ).
fof(f17386,plain,
( spl5_706
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_706])]) ).
fof(f17384,plain,
( spl5_705
| ~ spl5_134
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7266,f4273,f1371,f17381]) ).
fof(f17381,plain,
( spl5_705
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_705])]) ).
fof(f17379,plain,
( spl5_704
| ~ spl5_132
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7265,f4273,f1362,f17376]) ).
fof(f17376,plain,
( spl5_704
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_704])]) ).
fof(f17374,plain,
( spl5_703
| ~ spl5_131
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7264,f4273,f1358,f17371]) ).
fof(f17371,plain,
( spl5_703
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_703])]) ).
fof(f17369,plain,
( spl5_702
| ~ spl5_130
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7263,f4273,f1354,f17366]) ).
fof(f17366,plain,
( spl5_702
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_702])]) ).
fof(f17364,plain,
( spl5_701
| ~ spl5_129
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7262,f4273,f1350,f17361]) ).
fof(f17361,plain,
( spl5_701
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_701])]) ).
fof(f17359,plain,
( spl5_700
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12654,f11089,f525,f508,f260,f17356]) ).
fof(f17356,plain,
( spl5_700
<=> sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_700])]) ).
fof(f12654,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12628,f1112]) ).
fof(f12628,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_538 ),
inference(resolution,[],[f11090,f262]) ).
fof(f17354,plain,
( spl5_699
| ~ spl5_128
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7261,f4273,f1346,f17351]) ).
fof(f17351,plain,
( spl5_699
<=> sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_699])]) ).
fof(f17349,plain,
( spl5_698
| ~ spl5_216
| ~ spl5_304 ),
inference(avatar_split_clause,[],[f6655,f6569,f4269,f17347]) ).
fof(f17347,plain,
( spl5_698
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_698])]) ).
fof(f6569,plain,
( spl5_304
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_304])]) ).
fof(f6655,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_304 ),
inference(resolution,[],[f6570,f4270]) ).
fof(f6570,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_304 ),
inference(avatar_component_clause,[],[f6569]) ).
fof(f17345,plain,
( spl5_697
| ~ spl5_215
| ~ spl5_304 ),
inference(avatar_split_clause,[],[f6654,f6569,f4265,f17343]) ).
fof(f17343,plain,
( spl5_697
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_697])]) ).
fof(f6654,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_304 ),
inference(resolution,[],[f6570,f4266]) ).
fof(f17341,plain,
( spl5_696
| ~ spl5_216
| ~ spl5_303 ),
inference(avatar_split_clause,[],[f6635,f6565,f4269,f17339]) ).
fof(f17339,plain,
( spl5_696
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_696])]) ).
fof(f6565,plain,
( spl5_303
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_303])]) ).
fof(f6635,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_303 ),
inference(resolution,[],[f6566,f4270]) ).
fof(f6566,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_303 ),
inference(avatar_component_clause,[],[f6565]) ).
fof(f17337,plain,
( spl5_695
| ~ spl5_215
| ~ spl5_303 ),
inference(avatar_split_clause,[],[f6634,f6565,f4265,f17335]) ).
fof(f17335,plain,
( spl5_695
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_695])]) ).
fof(f6634,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_303 ),
inference(resolution,[],[f6566,f4266]) ).
fof(f17333,plain,
( spl5_694
| ~ spl5_216
| ~ spl5_301 ),
inference(avatar_split_clause,[],[f6610,f6557,f4269,f17331]) ).
fof(f17331,plain,
( spl5_694
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_694])]) ).
fof(f6557,plain,
( spl5_301
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_301])]) ).
fof(f6610,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_301 ),
inference(resolution,[],[f6558,f4270]) ).
fof(f6558,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_301 ),
inference(avatar_component_clause,[],[f6557]) ).
fof(f17329,plain,
( spl5_693
| ~ spl5_215
| ~ spl5_301 ),
inference(avatar_split_clause,[],[f6609,f6557,f4265,f17327]) ).
fof(f17327,plain,
( spl5_693
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_693])]) ).
fof(f6609,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_301 ),
inference(resolution,[],[f6558,f4266]) ).
fof(f17325,plain,
( spl5_692
| ~ spl5_216
| ~ spl5_300 ),
inference(avatar_split_clause,[],[f6588,f6553,f4269,f17323]) ).
fof(f17323,plain,
( spl5_692
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_692])]) ).
fof(f6553,plain,
( spl5_300
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_300])]) ).
fof(f6588,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_216
| ~ spl5_300 ),
inference(resolution,[],[f6554,f4270]) ).
fof(f6554,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_300 ),
inference(avatar_component_clause,[],[f6553]) ).
fof(f17321,plain,
( spl5_691
| ~ spl5_215
| ~ spl5_300 ),
inference(avatar_split_clause,[],[f6587,f6553,f4265,f17319]) ).
fof(f17319,plain,
( spl5_691
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_691])]) ).
fof(f6587,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_215
| ~ spl5_300 ),
inference(resolution,[],[f6554,f4266]) ).
fof(f17317,plain,
( spl5_690
| ~ spl5_153
| ~ spl5_216
| ~ spl5_297 ),
inference(avatar_split_clause,[],[f6540,f5839,f4269,f1448,f17315]) ).
fof(f17315,plain,
( spl5_690
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_690])]) ).
fof(f5839,plain,
( spl5_297
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_297])]) ).
fof(f6540,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_216
| ~ spl5_297 ),
inference(forward_demodulation,[],[f6522,f4488]) ).
fof(f4488,plain,
( sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(xN,sdtasdt0(xC,xD))
| ~ spl5_153
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1449]) ).
fof(f6522,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_297 ),
inference(resolution,[],[f5840,f4270]) ).
fof(f5840,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_297 ),
inference(avatar_component_clause,[],[f5839]) ).
fof(f17313,plain,
( spl5_689
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12653,f11089,f525,f481,f300,f17310]) ).
fof(f17310,plain,
( spl5_689
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_689])]) ).
fof(f12653,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12627,f1105]) ).
fof(f12627,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_538 ),
inference(resolution,[],[f11090,f302]) ).
fof(f17308,plain,
( spl5_688
| ~ spl5_153
| ~ spl5_215
| ~ spl5_297 ),
inference(avatar_split_clause,[],[f6539,f5839,f4265,f1448,f17306]) ).
fof(f17306,plain,
( spl5_688
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_688])]) ).
fof(f6539,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_215
| ~ spl5_297 ),
inference(forward_demodulation,[],[f6521,f4342]) ).
fof(f4342,plain,
( sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(xN,sdtasdt0(xE,xE))
| ~ spl5_153
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1449]) ).
fof(f6521,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_297 ),
inference(resolution,[],[f5840,f4266]) ).
fof(f17304,plain,
( spl5_687
| ~ spl5_152
| ~ spl5_216
| ~ spl5_296 ),
inference(avatar_split_clause,[],[f6504,f5835,f4269,f1444,f17302]) ).
fof(f17302,plain,
( spl5_687
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_687])]) ).
fof(f5835,plain,
( spl5_296
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_296])]) ).
fof(f6504,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_216
| ~ spl5_296 ),
inference(forward_demodulation,[],[f6486,f4487]) ).
fof(f4487,plain,
( sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(xS,sdtasdt0(xC,xD))
| ~ spl5_152
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1445]) ).
fof(f6486,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_296 ),
inference(resolution,[],[f5836,f4270]) ).
fof(f5836,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_296 ),
inference(avatar_component_clause,[],[f5835]) ).
fof(f17300,plain,
( spl5_686
| ~ spl5_152
| ~ spl5_215
| ~ spl5_296 ),
inference(avatar_split_clause,[],[f6503,f5835,f4265,f1444,f17298]) ).
fof(f17298,plain,
( spl5_686
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_686])]) ).
fof(f6503,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_215
| ~ spl5_296 ),
inference(forward_demodulation,[],[f6485,f4341]) ).
fof(f4341,plain,
( sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(xS,sdtasdt0(xE,xE))
| ~ spl5_152
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1445]) ).
fof(f6485,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_296 ),
inference(resolution,[],[f5836,f4266]) ).
fof(f17296,plain,
( spl5_685
| ~ spl5_151
| ~ spl5_216
| ~ spl5_295 ),
inference(avatar_split_clause,[],[f6479,f5831,f4269,f1440,f17294]) ).
fof(f17294,plain,
( spl5_685
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_685])]) ).
fof(f5831,plain,
( spl5_295
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_295])]) ).
fof(f6479,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_216
| ~ spl5_295 ),
inference(forward_demodulation,[],[f6461,f4486]) ).
fof(f4486,plain,
( sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(xP,sdtasdt0(xC,xD))
| ~ spl5_151
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1441]) ).
fof(f6461,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_295 ),
inference(resolution,[],[f5832,f4270]) ).
fof(f5832,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_295 ),
inference(avatar_component_clause,[],[f5831]) ).
fof(f17292,plain,
( spl5_684
| ~ spl5_151
| ~ spl5_215
| ~ spl5_295 ),
inference(avatar_split_clause,[],[f6478,f5831,f4265,f1440,f17290]) ).
fof(f17290,plain,
( spl5_684
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_684])]) ).
fof(f6478,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_215
| ~ spl5_295 ),
inference(forward_demodulation,[],[f6460,f4340]) ).
fof(f4340,plain,
( sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xE))
| ~ spl5_151
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1441]) ).
fof(f6460,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_295 ),
inference(resolution,[],[f5832,f4266]) ).
fof(f17288,plain,
( spl5_683
| ~ spl5_150
| ~ spl5_216
| ~ spl5_294 ),
inference(avatar_split_clause,[],[f6452,f5827,f4269,f1436,f17286]) ).
fof(f17286,plain,
( spl5_683
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_683])]) ).
fof(f5827,plain,
( spl5_294
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_294])]) ).
fof(f6452,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_216
| ~ spl5_294 ),
inference(forward_demodulation,[],[f6434,f4485]) ).
fof(f4485,plain,
( sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(xR,sdtasdt0(xC,xD))
| ~ spl5_150
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1437]) ).
fof(f6434,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_294 ),
inference(resolution,[],[f5828,f4270]) ).
fof(f5828,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_294 ),
inference(avatar_component_clause,[],[f5827]) ).
fof(f17284,plain,
( spl5_682
| ~ spl5_150
| ~ spl5_215
| ~ spl5_294 ),
inference(avatar_split_clause,[],[f6451,f5827,f4265,f1436,f17282]) ).
fof(f17282,plain,
( spl5_682
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_682])]) ).
fof(f6451,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_215
| ~ spl5_294 ),
inference(forward_demodulation,[],[f6433,f4339]) ).
fof(f4339,plain,
( sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(xR,sdtasdt0(xE,xE))
| ~ spl5_150
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1437]) ).
fof(f6433,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_294 ),
inference(resolution,[],[f5828,f4266]) ).
fof(f17280,plain,
( spl5_681
| ~ spl5_149
| ~ spl5_216
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f6428,f5823,f4269,f1432,f17278]) ).
fof(f17278,plain,
( spl5_681
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_681])]) ).
fof(f5823,plain,
( spl5_293
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_293])]) ).
fof(f6428,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_216
| ~ spl5_293 ),
inference(forward_demodulation,[],[f6410,f4484]) ).
fof(f4484,plain,
( sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(xH,sdtasdt0(xC,xD))
| ~ spl5_149
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1433]) ).
fof(f6410,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_293 ),
inference(resolution,[],[f5824,f4270]) ).
fof(f5824,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_293 ),
inference(avatar_component_clause,[],[f5823]) ).
fof(f17276,plain,
( spl5_680
| ~ spl5_149
| ~ spl5_215
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f6427,f5823,f4265,f1432,f17274]) ).
fof(f17274,plain,
( spl5_680
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_680])]) ).
fof(f6427,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_215
| ~ spl5_293 ),
inference(forward_demodulation,[],[f6409,f4338]) ).
fof(f4338,plain,
( sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xE))
| ~ spl5_149
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1433]) ).
fof(f6409,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_293 ),
inference(resolution,[],[f5824,f4266]) ).
fof(f17272,plain,
( spl5_679
| ~ spl5_148
| ~ spl5_216
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f6396,f5819,f4269,f1428,f17270]) ).
fof(f17270,plain,
( spl5_679
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_679])]) ).
fof(f5819,plain,
( spl5_292
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_292])]) ).
fof(f6396,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_216
| ~ spl5_292 ),
inference(forward_demodulation,[],[f6378,f4483]) ).
fof(f4483,plain,
( sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(xG,sdtasdt0(xC,xD))
| ~ spl5_148
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1429]) ).
fof(f6378,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_292 ),
inference(resolution,[],[f5820,f4270]) ).
fof(f5820,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_292 ),
inference(avatar_component_clause,[],[f5819]) ).
fof(f17268,plain,
( spl5_678
| ~ spl5_9
| ~ spl5_209
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12652,f11089,f4011,f270,f17265]) ).
fof(f17265,plain,
( spl5_678
<=> sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_678])]) ).
fof(f12652,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_209
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12626,f4013]) ).
fof(f12626,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_538 ),
inference(resolution,[],[f11090,f272]) ).
fof(f17263,plain,
( spl5_677
| ~ spl5_148
| ~ spl5_215
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f6395,f5819,f4265,f1428,f17261]) ).
fof(f17261,plain,
( spl5_677
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_677])]) ).
fof(f6395,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_215
| ~ spl5_292 ),
inference(forward_demodulation,[],[f6377,f4337]) ).
fof(f4337,plain,
( sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(xG,sdtasdt0(xE,xE))
| ~ spl5_148
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1429]) ).
fof(f6377,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_292 ),
inference(resolution,[],[f5820,f4266]) ).
fof(f17259,plain,
( spl5_676
| ~ spl5_147
| ~ spl5_216
| ~ spl5_291 ),
inference(avatar_split_clause,[],[f6363,f5815,f4269,f1424,f17257]) ).
fof(f17257,plain,
( spl5_676
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_676])]) ).
fof(f5815,plain,
( spl5_291
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_291])]) ).
fof(f6363,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_216
| ~ spl5_291 ),
inference(forward_demodulation,[],[f6345,f4482]) ).
fof(f4482,plain,
( sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(xF,sdtasdt0(xC,xD))
| ~ spl5_147
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1425]) ).
fof(f6345,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_291 ),
inference(resolution,[],[f5816,f4270]) ).
fof(f5816,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_291 ),
inference(avatar_component_clause,[],[f5815]) ).
fof(f17255,plain,
( spl5_675
| ~ spl5_147
| ~ spl5_215
| ~ spl5_291 ),
inference(avatar_split_clause,[],[f6362,f5815,f4265,f1424,f17253]) ).
fof(f17253,plain,
( spl5_675
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_675])]) ).
fof(f6362,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_215
| ~ spl5_291 ),
inference(forward_demodulation,[],[f6344,f4336]) ).
fof(f4336,plain,
( sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(xF,sdtasdt0(xE,xE))
| ~ spl5_147
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1425]) ).
fof(f6344,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_291 ),
inference(resolution,[],[f5816,f4266]) ).
fof(f17251,plain,
( spl5_674
| ~ spl5_146
| ~ spl5_216
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f6339,f5806,f4269,f1420,f17249]) ).
fof(f17249,plain,
( spl5_674
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_674])]) ).
fof(f5806,plain,
( spl5_290
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_290])]) ).
fof(f6339,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_216
| ~ spl5_290 ),
inference(forward_demodulation,[],[f6321,f4481]) ).
fof(f4481,plain,
( sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(xE,sdtasdt0(xC,xD))
| ~ spl5_146
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1421]) ).
fof(f6321,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_290 ),
inference(resolution,[],[f5807,f4270]) ).
fof(f5807,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_290 ),
inference(avatar_component_clause,[],[f5806]) ).
fof(f17247,plain,
( spl5_673
| ~ spl5_146
| ~ spl5_215
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f6338,f5806,f4265,f1420,f17245]) ).
fof(f17245,plain,
( spl5_673
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_673])]) ).
fof(f6338,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_215
| ~ spl5_290 ),
inference(forward_demodulation,[],[f6320,f4335]) ).
fof(f4335,plain,
( sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xE))
| ~ spl5_146
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1421]) ).
fof(f6320,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_290 ),
inference(resolution,[],[f5807,f4266]) ).
fof(f17243,plain,
( spl5_672
| ~ spl5_145
| ~ spl5_216
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f6310,f5802,f4269,f1416,f17241]) ).
fof(f17241,plain,
( spl5_672
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_672])]) ).
fof(f5802,plain,
( spl5_289
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_289])]) ).
fof(f6310,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_216
| ~ spl5_289 ),
inference(forward_demodulation,[],[f6292,f4480]) ).
fof(f4480,plain,
( sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(xD,sdtasdt0(xC,xD))
| ~ spl5_145
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1417]) ).
fof(f6292,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_289 ),
inference(resolution,[],[f5803,f4270]) ).
fof(f5803,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_289 ),
inference(avatar_component_clause,[],[f5802]) ).
fof(f17239,plain,
( spl5_671
| ~ spl5_145
| ~ spl5_215
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f6309,f5802,f4265,f1416,f17237]) ).
fof(f17237,plain,
( spl5_671
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_671])]) ).
fof(f6309,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_215
| ~ spl5_289 ),
inference(forward_demodulation,[],[f6291,f4334]) ).
fof(f4334,plain,
( sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(xD,sdtasdt0(xE,xE))
| ~ spl5_145
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1417]) ).
fof(f6291,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_289 ),
inference(resolution,[],[f5803,f4266]) ).
fof(f17235,plain,
( spl5_670
| ~ spl5_143
| ~ spl5_216
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f6280,f5798,f4269,f1407,f17233]) ).
fof(f17233,plain,
( spl5_670
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_670])]) ).
fof(f5798,plain,
( spl5_288
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_288])]) ).
fof(f6280,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_216
| ~ spl5_288 ),
inference(forward_demodulation,[],[f6262,f4479]) ).
fof(f4479,plain,
( sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(xC,sdtasdt0(xC,xD))
| ~ spl5_143
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1408]) ).
fof(f6262,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_288 ),
inference(resolution,[],[f5799,f4270]) ).
fof(f5799,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_288 ),
inference(avatar_component_clause,[],[f5798]) ).
fof(f17231,plain,
( spl5_669
| ~ spl5_143
| ~ spl5_215
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f6279,f5798,f4265,f1407,f17229]) ).
fof(f17229,plain,
( spl5_669
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_669])]) ).
fof(f6279,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_215
| ~ spl5_288 ),
inference(forward_demodulation,[],[f6261,f4333]) ).
fof(f4333,plain,
( sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(xC,sdtasdt0(xE,xE))
| ~ spl5_143
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1408]) ).
fof(f6261,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_288 ),
inference(resolution,[],[f5799,f4266]) ).
fof(f17227,plain,
( spl5_668
| ~ spl5_142
| ~ spl5_216
| ~ spl5_287 ),
inference(avatar_split_clause,[],[f6248,f5794,f4269,f1403,f17225]) ).
fof(f17225,plain,
( spl5_668
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_668])]) ).
fof(f5794,plain,
( spl5_287
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_287])]) ).
fof(f6248,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_216
| ~ spl5_287 ),
inference(forward_demodulation,[],[f6230,f4478]) ).
fof(f4478,plain,
( sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(xB,sdtasdt0(xC,xD))
| ~ spl5_142
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1404]) ).
fof(f6230,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_287 ),
inference(resolution,[],[f5795,f4270]) ).
fof(f5795,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_287 ),
inference(avatar_component_clause,[],[f5794]) ).
fof(f17223,plain,
( spl5_667
| ~ spl5_8
| ~ spl5_183
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12651,f11089,f3144,f265,f17220]) ).
fof(f17220,plain,
( spl5_667
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_667])]) ).
fof(f12651,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_183
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12625,f3146]) ).
fof(f12625,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_538 ),
inference(resolution,[],[f11090,f267]) ).
fof(f17218,plain,
( spl5_666
| ~ spl5_142
| ~ spl5_215
| ~ spl5_287 ),
inference(avatar_split_clause,[],[f6247,f5794,f4265,f1403,f17216]) ).
fof(f17216,plain,
( spl5_666
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_666])]) ).
fof(f6247,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_215
| ~ spl5_287 ),
inference(forward_demodulation,[],[f6229,f4332]) ).
fof(f4332,plain,
( sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(xB,sdtasdt0(xE,xE))
| ~ spl5_142
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1404]) ).
fof(f6229,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_287 ),
inference(resolution,[],[f5795,f4266]) ).
fof(f17214,plain,
( spl5_665
| ~ spl5_141
| ~ spl5_216
| ~ spl5_286 ),
inference(avatar_split_clause,[],[f6211,f5790,f4269,f1399,f17212]) ).
fof(f17212,plain,
( spl5_665
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_665])]) ).
fof(f5790,plain,
( spl5_286
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_286])]) ).
fof(f6211,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_216
| ~ spl5_286 ),
inference(forward_demodulation,[],[f6193,f4477]) ).
fof(f4477,plain,
( sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(xA,sdtasdt0(xC,xD))
| ~ spl5_141
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1400]) ).
fof(f6193,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_286 ),
inference(resolution,[],[f5791,f4270]) ).
fof(f5791,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_286 ),
inference(avatar_component_clause,[],[f5790]) ).
fof(f17210,plain,
( spl5_664
| ~ spl5_141
| ~ spl5_215
| ~ spl5_286 ),
inference(avatar_split_clause,[],[f6210,f5790,f4265,f1399,f17208]) ).
fof(f17208,plain,
( spl5_664
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_664])]) ).
fof(f6210,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_215
| ~ spl5_286 ),
inference(forward_demodulation,[],[f6192,f4331]) ).
fof(f4331,plain,
( sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(xA,sdtasdt0(xE,xE))
| ~ spl5_141
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1400]) ).
fof(f6192,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_286 ),
inference(resolution,[],[f5791,f4266]) ).
fof(f17206,plain,
( spl5_663
| ~ spl5_140
| ~ spl5_216
| ~ spl5_285 ),
inference(avatar_split_clause,[],[f6177,f5786,f4269,f1395,f17204]) ).
fof(f17204,plain,
( spl5_663
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_663])]) ).
fof(f5786,plain,
( spl5_285
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_285])]) ).
fof(f6177,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_216
| ~ spl5_285 ),
inference(forward_demodulation,[],[f6159,f4476]) ).
fof(f4476,plain,
( sdtpldt0(sdtasdt0(xC,xD),xN) = sdtpldt0(xN,sdtasdt0(xC,xD))
| ~ spl5_140
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1396]) ).
fof(f6159,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xN)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_285 ),
inference(resolution,[],[f5787,f4270]) ).
fof(f5787,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_285 ),
inference(avatar_component_clause,[],[f5786]) ).
fof(f17202,plain,
( spl5_662
| ~ spl5_140
| ~ spl5_215
| ~ spl5_285 ),
inference(avatar_split_clause,[],[f6176,f5786,f4265,f1395,f17200]) ).
fof(f17200,plain,
( spl5_662
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_662])]) ).
fof(f6176,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_215
| ~ spl5_285 ),
inference(forward_demodulation,[],[f6158,f4330]) ).
fof(f4330,plain,
( sdtpldt0(sdtasdt0(xE,xE),xN) = sdtpldt0(xN,sdtasdt0(xE,xE))
| ~ spl5_140
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1396]) ).
fof(f6158,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xN)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_285 ),
inference(resolution,[],[f5787,f4266]) ).
fof(f17198,plain,
( spl5_661
| ~ spl5_139
| ~ spl5_216
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f6151,f5782,f4269,f1391,f17196]) ).
fof(f17196,plain,
( spl5_661
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_661])]) ).
fof(f5782,plain,
( spl5_284
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_284])]) ).
fof(f6151,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_216
| ~ spl5_284 ),
inference(forward_demodulation,[],[f6133,f4475]) ).
fof(f4475,plain,
( sdtpldt0(sdtasdt0(xC,xD),xS) = sdtpldt0(xS,sdtasdt0(xC,xD))
| ~ spl5_139
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1392]) ).
fof(f6133,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xS)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_284 ),
inference(resolution,[],[f5783,f4270]) ).
fof(f5783,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_284 ),
inference(avatar_component_clause,[],[f5782]) ).
fof(f17194,plain,
( spl5_660
| ~ spl5_139
| ~ spl5_215
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f6150,f5782,f4265,f1391,f17192]) ).
fof(f17192,plain,
( spl5_660
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_660])]) ).
fof(f6150,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_215
| ~ spl5_284 ),
inference(forward_demodulation,[],[f6132,f4329]) ).
fof(f4329,plain,
( sdtpldt0(sdtasdt0(xE,xE),xS) = sdtpldt0(xS,sdtasdt0(xE,xE))
| ~ spl5_139
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1392]) ).
fof(f6132,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xS)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_284 ),
inference(resolution,[],[f5783,f4266]) ).
fof(f17190,plain,
( spl5_659
| ~ spl5_138
| ~ spl5_216
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f6126,f5778,f4269,f1387,f17188]) ).
fof(f17188,plain,
( spl5_659
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_659])]) ).
fof(f5778,plain,
( spl5_283
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_283])]) ).
fof(f6126,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_216
| ~ spl5_283 ),
inference(forward_demodulation,[],[f6108,f4474]) ).
fof(f4474,plain,
( sdtpldt0(sdtasdt0(xC,xD),xP) = sdtpldt0(xP,sdtasdt0(xC,xD))
| ~ spl5_138
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1388]) ).
fof(f6108,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xP)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_283 ),
inference(resolution,[],[f5779,f4270]) ).
fof(f5779,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_283 ),
inference(avatar_component_clause,[],[f5778]) ).
fof(f17186,plain,
( spl5_658
| ~ spl5_138
| ~ spl5_215
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f6125,f5778,f4265,f1387,f17184]) ).
fof(f17184,plain,
( spl5_658
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_658])]) ).
fof(f6125,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_215
| ~ spl5_283 ),
inference(forward_demodulation,[],[f6107,f4328]) ).
fof(f4328,plain,
( sdtpldt0(sdtasdt0(xE,xE),xP) = sdtpldt0(xP,sdtasdt0(xE,xE))
| ~ spl5_138
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1388]) ).
fof(f6107,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xP)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_283 ),
inference(resolution,[],[f5779,f4266]) ).
fof(f17182,plain,
( spl5_657
| ~ spl5_137
| ~ spl5_216
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f6099,f5774,f4269,f1383,f17180]) ).
fof(f17180,plain,
( spl5_657
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_657])]) ).
fof(f5774,plain,
( spl5_282
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_282])]) ).
fof(f6099,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_216
| ~ spl5_282 ),
inference(forward_demodulation,[],[f6081,f4473]) ).
fof(f4473,plain,
( sdtpldt0(sdtasdt0(xC,xD),xR) = sdtpldt0(xR,sdtasdt0(xC,xD))
| ~ spl5_137
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1384]) ).
fof(f6081,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xR)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_282 ),
inference(resolution,[],[f5775,f4270]) ).
fof(f5775,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_282 ),
inference(avatar_component_clause,[],[f5774]) ).
fof(f17178,plain,
( spl5_656
| ~ spl5_12
| ~ spl5_162
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12650,f11089,f2395,f285,f17175]) ).
fof(f17175,plain,
( spl5_656
<=> sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_656])]) ).
fof(f12650,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_162
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12624,f2397]) ).
fof(f12624,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_538 ),
inference(resolution,[],[f11090,f287]) ).
fof(f17173,plain,
( spl5_655
| ~ spl5_137
| ~ spl5_215
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f6098,f5774,f4265,f1383,f17171]) ).
fof(f17171,plain,
( spl5_655
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_655])]) ).
fof(f6098,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_215
| ~ spl5_282 ),
inference(forward_demodulation,[],[f6080,f4327]) ).
fof(f4327,plain,
( sdtpldt0(sdtasdt0(xE,xE),xR) = sdtpldt0(xR,sdtasdt0(xE,xE))
| ~ spl5_137
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1384]) ).
fof(f6080,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xR)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_282 ),
inference(resolution,[],[f5775,f4266]) ).
fof(f17169,plain,
( spl5_654
| ~ spl5_136
| ~ spl5_216
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f6076,f5770,f4269,f1379,f17167]) ).
fof(f17167,plain,
( spl5_654
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_654])]) ).
fof(f5770,plain,
( spl5_281
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_281])]) ).
fof(f6076,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_216
| ~ spl5_281 ),
inference(forward_demodulation,[],[f6058,f4472]) ).
fof(f4472,plain,
( sdtpldt0(sdtasdt0(xC,xD),xH) = sdtpldt0(xH,sdtasdt0(xC,xD))
| ~ spl5_136
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1380]) ).
fof(f6058,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xH)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_281 ),
inference(resolution,[],[f5771,f4270]) ).
fof(f5771,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_281 ),
inference(avatar_component_clause,[],[f5770]) ).
fof(f17165,plain,
( spl5_653
| ~ spl5_136
| ~ spl5_215
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f6075,f5770,f4265,f1379,f17163]) ).
fof(f17163,plain,
( spl5_653
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_653])]) ).
fof(f6075,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_215
| ~ spl5_281 ),
inference(forward_demodulation,[],[f6057,f4326]) ).
fof(f4326,plain,
( sdtpldt0(sdtasdt0(xE,xE),xH) = sdtpldt0(xH,sdtasdt0(xE,xE))
| ~ spl5_136
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1380]) ).
fof(f6057,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xH)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_281 ),
inference(resolution,[],[f5771,f4266]) ).
fof(f17161,plain,
( spl5_652
| ~ spl5_135
| ~ spl5_216
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f6044,f5761,f4269,f1375,f17159]) ).
fof(f17159,plain,
( spl5_652
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_652])]) ).
fof(f5761,plain,
( spl5_280
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_280])]) ).
fof(f6044,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_216
| ~ spl5_280 ),
inference(forward_demodulation,[],[f6026,f4471]) ).
fof(f4471,plain,
( sdtpldt0(sdtasdt0(xC,xD),xG) = sdtpldt0(xG,sdtasdt0(xC,xD))
| ~ spl5_135
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1376]) ).
fof(f6026,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xG)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_280 ),
inference(resolution,[],[f5762,f4270]) ).
fof(f5762,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_280 ),
inference(avatar_component_clause,[],[f5761]) ).
fof(f17157,plain,
( spl5_651
| ~ spl5_135
| ~ spl5_215
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f6043,f5761,f4265,f1375,f17155]) ).
fof(f17155,plain,
( spl5_651
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_651])]) ).
fof(f6043,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_215
| ~ spl5_280 ),
inference(forward_demodulation,[],[f6025,f4325]) ).
fof(f4325,plain,
( sdtpldt0(sdtasdt0(xE,xE),xG) = sdtpldt0(xG,sdtasdt0(xE,xE))
| ~ spl5_135
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1376]) ).
fof(f6025,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xG)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_280 ),
inference(resolution,[],[f5762,f4266]) ).
fof(f17153,plain,
( spl5_650
| ~ spl5_134
| ~ spl5_216
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f6011,f5757,f4269,f1371,f17151]) ).
fof(f17151,plain,
( spl5_650
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_650])]) ).
fof(f5757,plain,
( spl5_279
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_279])]) ).
fof(f6011,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_216
| ~ spl5_279 ),
inference(forward_demodulation,[],[f5993,f4470]) ).
fof(f4470,plain,
( sdtpldt0(sdtasdt0(xC,xD),xF) = sdtpldt0(xF,sdtasdt0(xC,xD))
| ~ spl5_134
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1372]) ).
fof(f5993,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xF)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_279 ),
inference(resolution,[],[f5758,f4270]) ).
fof(f5758,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_279 ),
inference(avatar_component_clause,[],[f5757]) ).
fof(f17149,plain,
( spl5_649
| ~ spl5_134
| ~ spl5_215
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f6010,f5757,f4265,f1371,f17147]) ).
fof(f17147,plain,
( spl5_649
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_649])]) ).
fof(f6010,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_215
| ~ spl5_279 ),
inference(forward_demodulation,[],[f5992,f4324]) ).
fof(f4324,plain,
( sdtpldt0(sdtasdt0(xE,xE),xF) = sdtpldt0(xF,sdtasdt0(xE,xE))
| ~ spl5_134
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1372]) ).
fof(f5992,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xF)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_279 ),
inference(resolution,[],[f5758,f4266]) ).
fof(f17145,plain,
( spl5_648
| ~ spl5_132
| ~ spl5_216
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f5987,f5753,f4269,f1362,f17143]) ).
fof(f17143,plain,
( spl5_648
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_648])]) ).
fof(f5753,plain,
( spl5_278
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_278])]) ).
fof(f5987,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_216
| ~ spl5_278 ),
inference(forward_demodulation,[],[f5969,f4469]) ).
fof(f4469,plain,
( sdtpldt0(sdtasdt0(xC,xD),xE) = sdtpldt0(xE,sdtasdt0(xC,xD))
| ~ spl5_132
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1363]) ).
fof(f5969,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_278 ),
inference(resolution,[],[f5754,f4270]) ).
fof(f5754,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_278 ),
inference(avatar_component_clause,[],[f5753]) ).
fof(f17141,plain,
( spl5_647
| ~ spl5_132
| ~ spl5_215
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f5986,f5753,f4265,f1362,f17139]) ).
fof(f17139,plain,
( spl5_647
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_647])]) ).
fof(f5986,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_215
| ~ spl5_278 ),
inference(forward_demodulation,[],[f5968,f4323]) ).
fof(f4323,plain,
( sdtpldt0(sdtasdt0(xE,xE),xE) = sdtpldt0(xE,sdtasdt0(xE,xE))
| ~ spl5_132
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1363]) ).
fof(f5968,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_278 ),
inference(resolution,[],[f5754,f4266]) ).
fof(f17137,plain,
( spl5_646
| ~ spl5_131
| ~ spl5_216
| ~ spl5_277 ),
inference(avatar_split_clause,[],[f5959,f5749,f4269,f1358,f17135]) ).
fof(f17135,plain,
( spl5_646
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_646])]) ).
fof(f5749,plain,
( spl5_277
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_277])]) ).
fof(f5959,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_216
| ~ spl5_277 ),
inference(forward_demodulation,[],[f5941,f4468]) ).
fof(f4468,plain,
( sdtpldt0(sdtasdt0(xC,xD),xD) = sdtpldt0(xD,sdtasdt0(xC,xD))
| ~ spl5_131
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1359]) ).
fof(f5941,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_277 ),
inference(resolution,[],[f5750,f4270]) ).
fof(f5750,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_277 ),
inference(avatar_component_clause,[],[f5749]) ).
fof(f17133,plain,
( spl5_645
| ~ spl5_13
| ~ spl5_144
| ~ spl5_538 ),
inference(avatar_split_clause,[],[f12649,f11089,f1411,f290,f17130]) ).
fof(f17130,plain,
( spl5_645
<=> sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_645])]) ).
fof(f12649,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_144
| ~ spl5_538 ),
inference(forward_demodulation,[],[f12623,f1413]) ).
fof(f12623,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_538 ),
inference(resolution,[],[f11090,f292]) ).
fof(f17128,plain,
( spl5_644
| ~ spl5_131
| ~ spl5_215
| ~ spl5_277 ),
inference(avatar_split_clause,[],[f5958,f5749,f4265,f1358,f17126]) ).
fof(f17126,plain,
( spl5_644
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_644])]) ).
fof(f5958,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_215
| ~ spl5_277 ),
inference(forward_demodulation,[],[f5940,f4322]) ).
fof(f4322,plain,
( sdtpldt0(sdtasdt0(xE,xE),xD) = sdtpldt0(xD,sdtasdt0(xE,xE))
| ~ spl5_131
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1359]) ).
fof(f5940,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_277 ),
inference(resolution,[],[f5750,f4266]) ).
fof(f17124,plain,
( spl5_643
| ~ spl5_130
| ~ spl5_216
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f5925,f5745,f4269,f1354,f17122]) ).
fof(f17122,plain,
( spl5_643
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_643])]) ).
fof(f5745,plain,
( spl5_276
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_276])]) ).
fof(f5925,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_216
| ~ spl5_276 ),
inference(forward_demodulation,[],[f5907,f4467]) ).
fof(f4467,plain,
( sdtpldt0(sdtasdt0(xC,xD),xC) = sdtpldt0(xC,sdtasdt0(xC,xD))
| ~ spl5_130
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1355]) ).
fof(f5907,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xC)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_276 ),
inference(resolution,[],[f5746,f4270]) ).
fof(f5746,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_276 ),
inference(avatar_component_clause,[],[f5745]) ).
fof(f17120,plain,
( spl5_642
| ~ spl5_130
| ~ spl5_215
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f5924,f5745,f4265,f1354,f17118]) ).
fof(f17118,plain,
( spl5_642
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_642])]) ).
fof(f5924,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_215
| ~ spl5_276 ),
inference(forward_demodulation,[],[f5906,f4321]) ).
fof(f4321,plain,
( sdtpldt0(sdtasdt0(xE,xE),xC) = sdtpldt0(xC,sdtasdt0(xE,xE))
| ~ spl5_130
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1355]) ).
fof(f5906,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xC)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_276 ),
inference(resolution,[],[f5746,f4266]) ).
fof(f17116,plain,
( spl5_641
| ~ spl5_129
| ~ spl5_216
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f5895,f5741,f4269,f1350,f17114]) ).
fof(f17114,plain,
( spl5_641
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_641])]) ).
fof(f5741,plain,
( spl5_275
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_275])]) ).
fof(f5895,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_216
| ~ spl5_275 ),
inference(forward_demodulation,[],[f5877,f4466]) ).
fof(f4466,plain,
( sdtpldt0(sdtasdt0(xC,xD),xB) = sdtpldt0(xB,sdtasdt0(xC,xD))
| ~ spl5_129
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1351]) ).
fof(f5877,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xB)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_275 ),
inference(resolution,[],[f5742,f4270]) ).
fof(f5742,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_275 ),
inference(avatar_component_clause,[],[f5741]) ).
fof(f17112,plain,
( spl5_640
| ~ spl5_129
| ~ spl5_215
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f5894,f5741,f4265,f1350,f17110]) ).
fof(f17110,plain,
( spl5_640
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_640])]) ).
fof(f5894,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_215
| ~ spl5_275 ),
inference(forward_demodulation,[],[f5876,f4320]) ).
fof(f4320,plain,
( sdtpldt0(sdtasdt0(xE,xE),xB) = sdtpldt0(xB,sdtasdt0(xE,xE))
| ~ spl5_129
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1351]) ).
fof(f5876,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xB)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_275 ),
inference(resolution,[],[f5742,f4266]) ).
fof(f17108,plain,
( spl5_639
| ~ spl5_128
| ~ spl5_216
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f5864,f5737,f4269,f1346,f17106]) ).
fof(f17106,plain,
( spl5_639
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_639])]) ).
fof(f5737,plain,
( spl5_274
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_274])]) ).
fof(f5864,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_216
| ~ spl5_274 ),
inference(forward_demodulation,[],[f5846,f4465]) ).
fof(f4465,plain,
( sdtpldt0(sdtasdt0(xC,xD),xA) = sdtpldt0(xA,sdtasdt0(xC,xD))
| ~ spl5_128
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1347]) ).
fof(f5846,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xA)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_274 ),
inference(resolution,[],[f5738,f4270]) ).
fof(f5738,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_274 ),
inference(avatar_component_clause,[],[f5737]) ).
fof(f17104,plain,
( spl5_638
| ~ spl5_128
| ~ spl5_215
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f5863,f5737,f4265,f1346,f17102]) ).
fof(f17102,plain,
( spl5_638
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_638])]) ).
fof(f5863,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_215
| ~ spl5_274 ),
inference(forward_demodulation,[],[f5845,f4319]) ).
fof(f4319,plain,
( sdtpldt0(sdtasdt0(xE,xE),xA) = sdtpldt0(xA,sdtasdt0(xE,xE))
| ~ spl5_128
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1347]) ).
fof(f5845,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xA)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_274 ),
inference(resolution,[],[f5738,f4266]) ).
fof(f17100,plain,
( spl5_637
| ~ spl5_94
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4461,f4269,f901,f17098]) ).
fof(f17098,plain,
( spl5_637
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xD)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_637])]) ).
fof(f901,plain,
( spl5_94
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f4461,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xD)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94
| ~ spl5_216 ),
inference(resolution,[],[f4270,f902]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f17096,plain,
( spl5_636
| ~ spl5_93
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4460,f4269,f897,f17094]) ).
fof(f17094,plain,
( spl5_636
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xC,xD)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_636])]) ).
fof(f4460,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xC,xD)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_93
| ~ spl5_216 ),
inference(resolution,[],[f4270,f898]) ).
fof(f17092,plain,
( spl5_635
| ~ spl5_94
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4315,f4265,f901,f17090]) ).
fof(f17090,plain,
( spl5_635
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xE)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_635])]) ).
fof(f4315,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xE)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94
| ~ spl5_215 ),
inference(resolution,[],[f4266,f902]) ).
fof(f17088,plain,
( spl5_634
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12610,f11085,f818,f525,f250,f17085]) ).
fof(f17085,plain,
( spl5_634
<=> sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_634])]) ).
fof(f11085,plain,
( spl5_537
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_537])]) ).
fof(f12610,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_88
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12585,f1154]) ).
fof(f12585,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_537 ),
inference(resolution,[],[f11086,f252]) ).
fof(f11086,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) )
| ~ spl5_537 ),
inference(avatar_component_clause,[],[f11085]) ).
fof(f17083,plain,
( spl5_633
| ~ spl5_93
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4314,f4265,f897,f17081]) ).
fof(f17081,plain,
( spl5_633
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xE,xE)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_633])]) ).
fof(f4314,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xE,xE)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_93
| ~ spl5_215 ),
inference(resolution,[],[f4266,f898]) ).
fof(f16634,plain,
( spl5_632
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12609,f11085,f717,f525,f275,f16631]) ).
fof(f16631,plain,
( spl5_632
<=> sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_632])]) ).
fof(f12609,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_86
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12584,f1147]) ).
fof(f12584,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_537 ),
inference(resolution,[],[f11086,f277]) ).
fof(f16279,plain,
( spl5_631
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12608,f11085,f645,f525,f295,f16276]) ).
fof(f16276,plain,
( spl5_631
<=> sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_631])]) ).
fof(f12608,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_79
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12583,f1140]) ).
fof(f12583,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_537 ),
inference(resolution,[],[f11086,f297]) ).
fof(f15923,plain,
( spl5_630
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12607,f11085,f608,f525,f280,f15920]) ).
fof(f15920,plain,
( spl5_630
<=> sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_630])]) ).
fof(f12607,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_73
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12582,f1133]) ).
fof(f12582,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_537 ),
inference(resolution,[],[f11086,f282]) ).
fof(f15558,plain,
( spl5_629
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12606,f11085,f574,f525,f305,f15555]) ).
fof(f15555,plain,
( spl5_629
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_629])]) ).
fof(f12606,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_70
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12581,f1126]) ).
fof(f12581,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_537 ),
inference(resolution,[],[f11086,f307]) ).
fof(f15193,plain,
( spl5_628
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12605,f11085,f541,f525,f255,f15190]) ).
fof(f15190,plain,
( spl5_628
<=> sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_628])]) ).
fof(f12605,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_62
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12580,f1119]) ).
fof(f12580,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_537 ),
inference(resolution,[],[f11086,f257]) ).
fof(f15081,plain,
( spl5_627
| ~ spl5_58
| ~ spl5_158
| ~ spl5_216
| ~ spl5_238
| ~ spl5_306 ),
inference(avatar_split_clause,[],[f6700,f6577,f4690,f4269,f1937,f521,f15079]) ).
fof(f15079,plain,
( spl5_627
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_627])]) ).
fof(f4690,plain,
( spl5_238
<=> sP2(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_238])]) ).
fof(f6577,plain,
( spl5_306
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_306])]) ).
fof(f6700,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_158
| ~ spl5_216
| ~ spl5_238
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6699,f4778]) ).
fof(f4778,plain,
( sdtasdt0(xC,xD) = sdtpldt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_58
| ~ spl5_238 ),
inference(resolution,[],[f4692,f522]) ).
fof(f4692,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_238 ),
inference(avatar_component_clause,[],[f4690]) ).
fof(f6699,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_216
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6680,f4489]) ).
fof(f4489,plain,
( sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_158
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1938]) ).
fof(f6680,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_306 ),
inference(resolution,[],[f6578,f4270]) ).
fof(f6578,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_306 ),
inference(avatar_component_clause,[],[f6577]) ).
fof(f15077,plain,
( spl5_626
| ~ spl5_58
| ~ spl5_158
| ~ spl5_215
| ~ spl5_232
| ~ spl5_306 ),
inference(avatar_split_clause,[],[f6698,f6577,f4609,f4265,f1937,f521,f15075]) ).
fof(f15075,plain,
( spl5_626
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_626])]) ).
fof(f4609,plain,
( spl5_232
<=> sP2(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_232])]) ).
fof(f6698,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_158
| ~ spl5_215
| ~ spl5_232
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6697,f4731]) ).
fof(f4731,plain,
( sdtasdt0(xE,xE) = sdtpldt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_58
| ~ spl5_232 ),
inference(resolution,[],[f4611,f522]) ).
fof(f4611,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_232 ),
inference(avatar_component_clause,[],[f4609]) ).
fof(f6697,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_215
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6679,f4343]) ).
fof(f4343,plain,
( sdtpldt0(sdtasdt0(xE,xE),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_158
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1938]) ).
fof(f6679,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_306 ),
inference(resolution,[],[f6578,f4266]) ).
fof(f15073,plain,
( spl5_625
| ~ spl5_216
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f5610,f5519,f4269,f15071]) ).
fof(f15071,plain,
( spl5_625
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_625])]) ).
fof(f5610,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_268 ),
inference(resolution,[],[f5520,f4270]) ).
fof(f15069,plain,
( spl5_624
| ~ spl5_215
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f5609,f5519,f4265,f15067]) ).
fof(f15067,plain,
( spl5_624
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_624])]) ).
fof(f5609,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_268 ),
inference(resolution,[],[f5520,f4266]) ).
fof(f15065,plain,
( spl5_623
| ~ spl5_153
| ~ spl5_216
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f5493,f4801,f4269,f1448,f15063]) ).
fof(f5493,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_216
| ~ spl5_262 ),
inference(forward_demodulation,[],[f5475,f4488]) ).
fof(f5475,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_262 ),
inference(resolution,[],[f4802,f4270]) ).
fof(f15061,plain,
( spl5_622
| ~ spl5_153
| ~ spl5_215
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f5492,f4801,f4265,f1448,f15059]) ).
fof(f5492,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_215
| ~ spl5_262 ),
inference(forward_demodulation,[],[f5474,f4342]) ).
fof(f5474,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_262 ),
inference(resolution,[],[f4802,f4266]) ).
fof(f15057,plain,
( spl5_621
| ~ spl5_152
| ~ spl5_216
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f5466,f4797,f4269,f1444,f15055]) ).
fof(f5466,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_216
| ~ spl5_261 ),
inference(forward_demodulation,[],[f5448,f4487]) ).
fof(f5448,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_261 ),
inference(resolution,[],[f4798,f4270]) ).
fof(f15053,plain,
( spl5_620
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12604,f11085,f525,f508,f260,f15050]) ).
fof(f15050,plain,
( spl5_620
<=> sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_620])]) ).
fof(f12604,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12579,f1112]) ).
fof(f12579,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_537 ),
inference(resolution,[],[f11086,f262]) ).
fof(f15048,plain,
( spl5_619
| ~ spl5_152
| ~ spl5_215
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f5465,f4797,f4265,f1444,f15046]) ).
fof(f5465,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_152
| ~ spl5_215
| ~ spl5_261 ),
inference(forward_demodulation,[],[f5447,f4341]) ).
fof(f5447,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_261 ),
inference(resolution,[],[f4798,f4266]) ).
fof(f15044,plain,
( spl5_618
| ~ spl5_151
| ~ spl5_216
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f5441,f4793,f4269,f1440,f15042]) ).
fof(f5441,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_216
| ~ spl5_260 ),
inference(forward_demodulation,[],[f5423,f4486]) ).
fof(f5423,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_260 ),
inference(resolution,[],[f4794,f4270]) ).
fof(f15040,plain,
( spl5_617
| ~ spl5_151
| ~ spl5_215
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f5440,f4793,f4265,f1440,f15038]) ).
fof(f5440,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_215
| ~ spl5_260 ),
inference(forward_demodulation,[],[f5422,f4340]) ).
fof(f5422,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_260 ),
inference(resolution,[],[f4794,f4266]) ).
fof(f15036,plain,
( spl5_616
| ~ spl5_150
| ~ spl5_216
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f5414,f4789,f4269,f1436,f15034]) ).
fof(f5414,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_216
| ~ spl5_259 ),
inference(forward_demodulation,[],[f5396,f4485]) ).
fof(f5396,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_259 ),
inference(resolution,[],[f4790,f4270]) ).
fof(f15032,plain,
( spl5_615
| ~ spl5_150
| ~ spl5_215
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f5413,f4789,f4265,f1436,f15030]) ).
fof(f5413,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_215
| ~ spl5_259 ),
inference(forward_demodulation,[],[f5395,f4339]) ).
fof(f5395,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_259 ),
inference(resolution,[],[f4790,f4266]) ).
fof(f15028,plain,
( spl5_614
| ~ spl5_149
| ~ spl5_216
| ~ spl5_258 ),
inference(avatar_split_clause,[],[f5390,f4785,f4269,f1432,f15026]) ).
fof(f5390,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_216
| ~ spl5_258 ),
inference(forward_demodulation,[],[f5372,f4484]) ).
fof(f5372,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_258 ),
inference(resolution,[],[f4786,f4270]) ).
fof(f15024,plain,
( spl5_613
| ~ spl5_149
| ~ spl5_215
| ~ spl5_258 ),
inference(avatar_split_clause,[],[f5389,f4785,f4265,f1432,f15022]) ).
fof(f5389,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_215
| ~ spl5_258 ),
inference(forward_demodulation,[],[f5371,f4338]) ).
fof(f5371,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_258 ),
inference(resolution,[],[f4786,f4266]) ).
fof(f15020,plain,
( spl5_612
| ~ spl5_148
| ~ spl5_216
| ~ spl5_257 ),
inference(avatar_split_clause,[],[f5358,f4774,f4269,f1428,f15018]) ).
fof(f5358,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_216
| ~ spl5_257 ),
inference(forward_demodulation,[],[f5340,f4483]) ).
fof(f5340,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_257 ),
inference(resolution,[],[f4775,f4270]) ).
fof(f15016,plain,
( spl5_611
| ~ spl5_148
| ~ spl5_215
| ~ spl5_257 ),
inference(avatar_split_clause,[],[f5357,f4774,f4265,f1428,f15014]) ).
fof(f5357,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_215
| ~ spl5_257 ),
inference(forward_demodulation,[],[f5339,f4337]) ).
fof(f5339,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_257 ),
inference(resolution,[],[f4775,f4266]) ).
fof(f15012,plain,
( spl5_610
| ~ spl5_147
| ~ spl5_216
| ~ spl5_256 ),
inference(avatar_split_clause,[],[f5325,f4770,f4269,f1424,f15010]) ).
fof(f5325,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_216
| ~ spl5_256 ),
inference(forward_demodulation,[],[f5307,f4482]) ).
fof(f5307,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_256 ),
inference(resolution,[],[f4771,f4270]) ).
fof(f15008,plain,
( spl5_609
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12603,f11085,f525,f481,f300,f15005]) ).
fof(f15005,plain,
( spl5_609
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_609])]) ).
fof(f12603,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_50
| ~ spl5_59
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12578,f1105]) ).
fof(f12578,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_537 ),
inference(resolution,[],[f11086,f302]) ).
fof(f15003,plain,
( spl5_608
| ~ spl5_147
| ~ spl5_215
| ~ spl5_256 ),
inference(avatar_split_clause,[],[f5324,f4770,f4265,f1424,f15001]) ).
fof(f5324,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_215
| ~ spl5_256 ),
inference(forward_demodulation,[],[f5306,f4336]) ).
fof(f5306,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_256 ),
inference(resolution,[],[f4771,f4266]) ).
fof(f14999,plain,
( spl5_607
| ~ spl5_146
| ~ spl5_216
| ~ spl5_255 ),
inference(avatar_split_clause,[],[f5301,f4766,f4269,f1420,f14997]) ).
fof(f5301,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_216
| ~ spl5_255 ),
inference(forward_demodulation,[],[f5283,f4481]) ).
fof(f5283,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_255 ),
inference(resolution,[],[f4767,f4270]) ).
fof(f14995,plain,
( spl5_606
| ~ spl5_146
| ~ spl5_215
| ~ spl5_255 ),
inference(avatar_split_clause,[],[f5300,f4766,f4265,f1420,f14993]) ).
fof(f5300,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_215
| ~ spl5_255 ),
inference(forward_demodulation,[],[f5282,f4335]) ).
fof(f5282,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_255 ),
inference(resolution,[],[f4767,f4266]) ).
fof(f14991,plain,
( spl5_605
| ~ spl5_145
| ~ spl5_216
| ~ spl5_254 ),
inference(avatar_split_clause,[],[f5272,f4762,f4269,f1416,f14989]) ).
fof(f5272,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_216
| ~ spl5_254 ),
inference(forward_demodulation,[],[f5254,f4480]) ).
fof(f5254,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_254 ),
inference(resolution,[],[f4763,f4270]) ).
fof(f14987,plain,
( spl5_604
| ~ spl5_145
| ~ spl5_215
| ~ spl5_254 ),
inference(avatar_split_clause,[],[f5271,f4762,f4265,f1416,f14985]) ).
fof(f5271,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_215
| ~ spl5_254 ),
inference(forward_demodulation,[],[f5253,f4334]) ).
fof(f5253,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_254 ),
inference(resolution,[],[f4763,f4266]) ).
fof(f14983,plain,
( spl5_603
| ~ spl5_143
| ~ spl5_216
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f5237,f4758,f4269,f1407,f14981]) ).
fof(f5237,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_216
| ~ spl5_253 ),
inference(forward_demodulation,[],[f5219,f4479]) ).
fof(f5219,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_253 ),
inference(resolution,[],[f4759,f4270]) ).
fof(f14979,plain,
( spl5_602
| ~ spl5_143
| ~ spl5_215
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f5236,f4758,f4265,f1407,f14977]) ).
fof(f5236,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_215
| ~ spl5_253 ),
inference(forward_demodulation,[],[f5218,f4333]) ).
fof(f5218,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_253 ),
inference(resolution,[],[f4759,f4266]) ).
fof(f14975,plain,
( spl5_601
| ~ spl5_142
| ~ spl5_216
| ~ spl5_252 ),
inference(avatar_split_clause,[],[f5205,f4754,f4269,f1403,f14973]) ).
fof(f5205,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_216
| ~ spl5_252 ),
inference(forward_demodulation,[],[f5187,f4478]) ).
fof(f5187,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_252 ),
inference(resolution,[],[f4755,f4270]) ).
fof(f14971,plain,
( spl5_600
| ~ spl5_142
| ~ spl5_215
| ~ spl5_252 ),
inference(avatar_split_clause,[],[f5204,f4754,f4265,f1403,f14969]) ).
fof(f5204,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_215
| ~ spl5_252 ),
inference(forward_demodulation,[],[f5186,f4332]) ).
fof(f5186,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_252 ),
inference(resolution,[],[f4755,f4266]) ).
fof(f14967,plain,
( spl5_599
| ~ spl5_141
| ~ spl5_216
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f5173,f4750,f4269,f1399,f14965]) ).
fof(f5173,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_216
| ~ spl5_251 ),
inference(forward_demodulation,[],[f5155,f4477]) ).
fof(f5155,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_251 ),
inference(resolution,[],[f4751,f4270]) ).
fof(f14963,plain,
( spl5_598
| ~ spl5_9
| ~ spl5_209
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12602,f11085,f4011,f270,f14960]) ).
fof(f14960,plain,
( spl5_598
<=> sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_598])]) ).
fof(f12602,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_209
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12577,f4013]) ).
fof(f12577,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_537 ),
inference(resolution,[],[f11086,f272]) ).
fof(f14958,plain,
( spl5_597
| ~ spl5_141
| ~ spl5_215
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f5172,f4750,f4265,f1399,f14956]) ).
fof(f5172,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_215
| ~ spl5_251 ),
inference(forward_demodulation,[],[f5154,f4331]) ).
fof(f5154,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_251 ),
inference(resolution,[],[f4751,f4266]) ).
fof(f14954,plain,
( spl5_596
| ~ spl5_140
| ~ spl5_216
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f5139,f4746,f4269,f1395,f14952]) ).
fof(f14952,plain,
( spl5_596
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_596])]) ).
fof(f5139,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_216
| ~ spl5_250 ),
inference(forward_demodulation,[],[f5121,f4476]) ).
fof(f5121,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_250 ),
inference(resolution,[],[f4747,f4270]) ).
fof(f14950,plain,
( spl5_595
| ~ spl5_140
| ~ spl5_215
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f5138,f4746,f4265,f1395,f14948]) ).
fof(f14948,plain,
( spl5_595
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_595])]) ).
fof(f5138,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_215
| ~ spl5_250 ),
inference(forward_demodulation,[],[f5120,f4330]) ).
fof(f5120,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_250 ),
inference(resolution,[],[f4747,f4266]) ).
fof(f14946,plain,
( spl5_594
| ~ spl5_139
| ~ spl5_216
| ~ spl5_249 ),
inference(avatar_split_clause,[],[f5113,f4742,f4269,f1391,f14944]) ).
fof(f14944,plain,
( spl5_594
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_594])]) ).
fof(f5113,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_216
| ~ spl5_249 ),
inference(forward_demodulation,[],[f5095,f4475]) ).
fof(f5095,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_249 ),
inference(resolution,[],[f4743,f4270]) ).
fof(f14942,plain,
( spl5_593
| ~ spl5_139
| ~ spl5_215
| ~ spl5_249 ),
inference(avatar_split_clause,[],[f5112,f4742,f4265,f1391,f14940]) ).
fof(f14940,plain,
( spl5_593
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_593])]) ).
fof(f5112,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_215
| ~ spl5_249 ),
inference(forward_demodulation,[],[f5094,f4329]) ).
fof(f5094,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_249 ),
inference(resolution,[],[f4743,f4266]) ).
fof(f14938,plain,
( spl5_592
| ~ spl5_138
| ~ spl5_216
| ~ spl5_248 ),
inference(avatar_split_clause,[],[f5088,f4738,f4269,f1387,f14936]) ).
fof(f14936,plain,
( spl5_592
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_592])]) ).
fof(f5088,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_216
| ~ spl5_248 ),
inference(forward_demodulation,[],[f5070,f4474]) ).
fof(f5070,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_248 ),
inference(resolution,[],[f4739,f4270]) ).
fof(f14934,plain,
( spl5_591
| ~ spl5_138
| ~ spl5_215
| ~ spl5_248 ),
inference(avatar_split_clause,[],[f5087,f4738,f4265,f1387,f14932]) ).
fof(f14932,plain,
( spl5_591
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_591])]) ).
fof(f5087,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_215
| ~ spl5_248 ),
inference(forward_demodulation,[],[f5069,f4328]) ).
fof(f5069,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_248 ),
inference(resolution,[],[f4739,f4266]) ).
fof(f14930,plain,
( spl5_590
| ~ spl5_137
| ~ spl5_216
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f5061,f4727,f4269,f1383,f14928]) ).
fof(f14928,plain,
( spl5_590
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_590])]) ).
fof(f5061,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_216
| ~ spl5_247 ),
inference(forward_demodulation,[],[f5043,f4473]) ).
fof(f5043,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_247 ),
inference(resolution,[],[f4728,f4270]) ).
fof(f14926,plain,
( spl5_589
| ~ spl5_137
| ~ spl5_215
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f5060,f4727,f4265,f1383,f14924]) ).
fof(f14924,plain,
( spl5_589
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_589])]) ).
fof(f5060,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_137
| ~ spl5_215
| ~ spl5_247 ),
inference(forward_demodulation,[],[f5042,f4327]) ).
fof(f5042,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_247 ),
inference(resolution,[],[f4728,f4266]) ).
fof(f14922,plain,
( spl5_588
| ~ spl5_136
| ~ spl5_216
| ~ spl5_246 ),
inference(avatar_split_clause,[],[f5038,f4723,f4269,f1379,f14920]) ).
fof(f14920,plain,
( spl5_588
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_588])]) ).
fof(f5038,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_216
| ~ spl5_246 ),
inference(forward_demodulation,[],[f5020,f4472]) ).
fof(f5020,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_246 ),
inference(resolution,[],[f4724,f4270]) ).
fof(f14918,plain,
( spl5_587
| ~ spl5_8
| ~ spl5_183
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12601,f11085,f3144,f265,f14915]) ).
fof(f14915,plain,
( spl5_587
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_587])]) ).
fof(f12601,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_183
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12576,f3146]) ).
fof(f12576,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_537 ),
inference(resolution,[],[f11086,f267]) ).
fof(f14913,plain,
( spl5_586
| ~ spl5_136
| ~ spl5_215
| ~ spl5_246 ),
inference(avatar_split_clause,[],[f5037,f4723,f4265,f1379,f14911]) ).
fof(f14911,plain,
( spl5_586
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_586])]) ).
fof(f5037,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_136
| ~ spl5_215
| ~ spl5_246 ),
inference(forward_demodulation,[],[f5019,f4326]) ).
fof(f5019,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_246 ),
inference(resolution,[],[f4724,f4266]) ).
fof(f14909,plain,
( spl5_585
| ~ spl5_135
| ~ spl5_216
| ~ spl5_245 ),
inference(avatar_split_clause,[],[f5006,f4719,f4269,f1375,f14907]) ).
fof(f14907,plain,
( spl5_585
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_585])]) ).
fof(f5006,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_216
| ~ spl5_245 ),
inference(forward_demodulation,[],[f4988,f4471]) ).
fof(f4988,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_245 ),
inference(resolution,[],[f4720,f4270]) ).
fof(f14905,plain,
( spl5_584
| ~ spl5_135
| ~ spl5_215
| ~ spl5_245 ),
inference(avatar_split_clause,[],[f5005,f4719,f4265,f1375,f14903]) ).
fof(f14903,plain,
( spl5_584
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_584])]) ).
fof(f5005,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_135
| ~ spl5_215
| ~ spl5_245 ),
inference(forward_demodulation,[],[f4987,f4325]) ).
fof(f4987,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_245 ),
inference(resolution,[],[f4720,f4266]) ).
fof(f14901,plain,
( spl5_583
| ~ spl5_134
| ~ spl5_216
| ~ spl5_244 ),
inference(avatar_split_clause,[],[f4973,f4715,f4269,f1371,f14899]) ).
fof(f14899,plain,
( spl5_583
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_583])]) ).
fof(f4973,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_216
| ~ spl5_244 ),
inference(forward_demodulation,[],[f4955,f4470]) ).
fof(f4955,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_244 ),
inference(resolution,[],[f4716,f4270]) ).
fof(f14897,plain,
( spl5_582
| ~ spl5_134
| ~ spl5_215
| ~ spl5_244 ),
inference(avatar_split_clause,[],[f4972,f4715,f4265,f1371,f14895]) ).
fof(f14895,plain,
( spl5_582
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_582])]) ).
fof(f4972,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_134
| ~ spl5_215
| ~ spl5_244 ),
inference(forward_demodulation,[],[f4954,f4324]) ).
fof(f4954,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_244 ),
inference(resolution,[],[f4716,f4266]) ).
fof(f14893,plain,
( spl5_581
| ~ spl5_132
| ~ spl5_216
| ~ spl5_243 ),
inference(avatar_split_clause,[],[f4944,f4711,f4269,f1362,f14891]) ).
fof(f14891,plain,
( spl5_581
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_581])]) ).
fof(f4944,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_216
| ~ spl5_243 ),
inference(forward_demodulation,[],[f4926,f4469]) ).
fof(f4926,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_243 ),
inference(resolution,[],[f4712,f4270]) ).
fof(f14889,plain,
( spl5_580
| ~ spl5_132
| ~ spl5_215
| ~ spl5_243 ),
inference(avatar_split_clause,[],[f4943,f4711,f4265,f1362,f14887]) ).
fof(f14887,plain,
( spl5_580
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_580])]) ).
fof(f4943,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_132
| ~ spl5_215
| ~ spl5_243 ),
inference(forward_demodulation,[],[f4925,f4323]) ).
fof(f4925,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_243 ),
inference(resolution,[],[f4712,f4266]) ).
fof(f14885,plain,
( spl5_579
| ~ spl5_131
| ~ spl5_216
| ~ spl5_242 ),
inference(avatar_split_clause,[],[f4916,f4707,f4269,f1358,f14883]) ).
fof(f14883,plain,
( spl5_579
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_579])]) ).
fof(f4916,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_216
| ~ spl5_242 ),
inference(forward_demodulation,[],[f4898,f4468]) ).
fof(f4898,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_242 ),
inference(resolution,[],[f4708,f4270]) ).
fof(f14881,plain,
( spl5_578
| ~ spl5_131
| ~ spl5_215
| ~ spl5_242 ),
inference(avatar_split_clause,[],[f4915,f4707,f4265,f1358,f14879]) ).
fof(f14879,plain,
( spl5_578
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_578])]) ).
fof(f4915,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_131
| ~ spl5_215
| ~ spl5_242 ),
inference(forward_demodulation,[],[f4897,f4322]) ).
fof(f4897,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_242 ),
inference(resolution,[],[f4708,f4266]) ).
fof(f14877,plain,
( spl5_577
| ~ spl5_130
| ~ spl5_216
| ~ spl5_241 ),
inference(avatar_split_clause,[],[f4887,f4703,f4269,f1354,f14875]) ).
fof(f14875,plain,
( spl5_577
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_577])]) ).
fof(f4887,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_216
| ~ spl5_241 ),
inference(forward_demodulation,[],[f4869,f4467]) ).
fof(f4869,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_241 ),
inference(resolution,[],[f4704,f4270]) ).
fof(f14849,plain,
( spl5_576
| ~ spl5_130
| ~ spl5_215
| ~ spl5_241 ),
inference(avatar_split_clause,[],[f4886,f4703,f4265,f1354,f14847]) ).
fof(f14847,plain,
( spl5_576
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_576])]) ).
fof(f4886,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_130
| ~ spl5_215
| ~ spl5_241 ),
inference(forward_demodulation,[],[f4868,f4321]) ).
fof(f4868,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_241 ),
inference(resolution,[],[f4704,f4266]) ).
fof(f14845,plain,
( spl5_575
| ~ spl5_129
| ~ spl5_216
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f4857,f4699,f4269,f1350,f14843]) ).
fof(f14843,plain,
( spl5_575
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_575])]) ).
fof(f4857,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_216
| ~ spl5_240 ),
inference(forward_demodulation,[],[f4839,f4466]) ).
fof(f4839,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_240 ),
inference(resolution,[],[f4700,f4270]) ).
fof(f14841,plain,
( spl5_574
| ~ spl5_129
| ~ spl5_215
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f4856,f4699,f4265,f1350,f14839]) ).
fof(f14839,plain,
( spl5_574
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_574])]) ).
fof(f4856,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_129
| ~ spl5_215
| ~ spl5_240 ),
inference(forward_demodulation,[],[f4838,f4320]) ).
fof(f4838,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_240 ),
inference(resolution,[],[f4700,f4266]) ).
fof(f14837,plain,
( spl5_573
| ~ spl5_128
| ~ spl5_216
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f4826,f4695,f4269,f1346,f14835]) ).
fof(f14835,plain,
( spl5_573
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_573])]) ).
fof(f4826,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_216
| ~ spl5_239 ),
inference(forward_demodulation,[],[f4808,f4465]) ).
fof(f4808,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_239 ),
inference(resolution,[],[f4696,f4270]) ).
fof(f14833,plain,
( spl5_572
| ~ spl5_128
| ~ spl5_215
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f4825,f4695,f4265,f1346,f14831]) ).
fof(f14831,plain,
( spl5_572
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_572])]) ).
fof(f4825,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_128
| ~ spl5_215
| ~ spl5_239 ),
inference(forward_demodulation,[],[f4807,f4319]) ).
fof(f4807,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_239 ),
inference(resolution,[],[f4696,f4266]) ).
fof(f14822,plain,
( spl5_571
| ~ spl5_22
| ~ spl5_325 ),
inference(avatar_split_clause,[],[f13448,f7510,f335,f14819]) ).
fof(f14819,plain,
( spl5_571
<=> sP2(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_571])]) ).
fof(f13448,plain,
( sP2(sdtpldt0(xR,xS))
| ~ spl5_22
| ~ spl5_325 ),
inference(resolution,[],[f7511,f336]) ).
fof(f7511,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl5_325 ),
inference(avatar_component_clause,[],[f7510]) ).
fof(f14793,plain,
( spl5_570
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(avatar_split_clause,[],[f14572,f14359,f12740,f10877,f4295,f4277,f2012,f1941,f1160,f529,f517,f14790]) ).
fof(f14790,plain,
( spl5_570
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_570])]) ).
fof(f14572,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14571,f1164]) ).
fof(f14571,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_60
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14570,f14366]) ).
fof(f14570,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_159
| ~ spl5_160
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14408,f14239]) ).
fof(f14408,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_160
| ~ spl5_220 ),
inference(resolution,[],[f4296,f2013]) ).
fof(f14740,plain,
( spl5_569
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(avatar_split_clause,[],[f14569,f14359,f12740,f10877,f4295,f4277,f1941,f1160,f529,f517,f14737]) ).
fof(f14737,plain,
( spl5_569
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_569])]) ).
fof(f14569,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_57
| ~ spl5_60
| ~ spl5_106
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14568,f1164]) ).
fof(f14568,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_60
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560
| ~ spl5_567 ),
inference(forward_demodulation,[],[f14567,f14366]) ).
fof(f14567,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_218
| ~ spl5_220
| ~ spl5_495
| ~ spl5_560 ),
inference(forward_demodulation,[],[f14407,f14239]) ).
fof(f14407,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_220 ),
inference(resolution,[],[f4296,f1942]) ).
fof(f14728,plain,
( spl5_568
| ~ spl5_22
| ~ spl5_220 ),
inference(avatar_split_clause,[],[f14371,f4295,f335,f14725]) ).
fof(f14725,plain,
( spl5_568
<=> sP2(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_568])]) ).
fof(f14371,plain,
( sP2(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_22
| ~ spl5_220 ),
inference(resolution,[],[f4296,f336]) ).
fof(f14370,plain,
( ~ spl5_216
| ~ spl5_218
| ~ spl5_68
| spl5_220 ),
inference(avatar_split_clause,[],[f4424,f4295,f566,f4277,f4269]) ).
fof(f566,plain,
( spl5_68
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f4424,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_68
| spl5_220 ),
inference(resolution,[],[f4297,f567]) ).
fof(f567,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f4297,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| spl5_220 ),
inference(avatar_component_clause,[],[f4295]) ).
fof(f14362,plain,
( spl5_567
| ~ spl5_22
| ~ spl5_218 ),
inference(avatar_split_clause,[],[f13916,f4277,f335,f14359]) ).
fof(f13916,plain,
( sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_22
| ~ spl5_218 ),
inference(resolution,[],[f4278,f336]) ).
fof(f13915,plain,
( ~ spl5_325
| ~ spl5_299
| ~ spl5_68
| spl5_218 ),
inference(avatar_split_clause,[],[f4289,f4277,f566,f6514,f7510]) ).
fof(f4289,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_68
| spl5_218 ),
inference(resolution,[],[f4279,f567]) ).
fof(f4279,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl5_218 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f13914,plain,
( ~ spl5_11
| ~ spl5_10
| spl5_566
| ~ spl5_25
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1043,f1025,f362,f13912,f275,f280]) ).
fof(f13912,plain,
( spl5_566
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_566])]) ).
fof(f1025,plain,
( spl5_102
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
fof(f1043,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(xR)
| ~ aScalar0(X0) )
| ~ spl5_25
| ~ spl5_102 ),
inference(superposition,[],[f1026,f364]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_102 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f13788,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_230
| spl5_565
| ~ spl5_25
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1036,f1025,f362,f13786,f4597,f275,f280]) ).
fof(f4597,plain,
( spl5_230
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_230])]) ).
fof(f13786,plain,
( spl5_565
<=> ! [X0,X1] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xR,X0)
| ~ sdtlseqdt0(xS,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_565])]) ).
fof(f1036,plain,
( ! [X0,X1] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xR,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| ~ spl5_25
| ~ spl5_102 ),
inference(superposition,[],[f1026,f364]) ).
fof(f13778,plain,
( ~ spl5_325
| ~ spl5_298
| ~ spl5_563
| spl5_564
| ~ spl5_52
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f844,f662,f494,f13775,f13771,f6510,f7510]) ).
fof(f13771,plain,
( spl5_563
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_563])]) ).
fof(f13775,plain,
( spl5_564
<=> sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_564])]) ).
fof(f662,plain,
( spl5_83
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f844,plain,
( sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_52
| ~ spl5_83 ),
inference(resolution,[],[f663,f496]) ).
fof(f496,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f13447,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_68
| spl5_325 ),
inference(avatar_split_clause,[],[f7517,f7510,f566,f275,f280]) ).
fof(f7517,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_68
| spl5_325 ),
inference(resolution,[],[f7512,f567]) ).
fof(f7512,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl5_325 ),
inference(avatar_component_clause,[],[f7510]) ).
fof(f13375,plain,
( spl5_562
| ~ spl5_18
| ~ spl5_49
| ~ spl5_272
| ~ spl5_544 ),
inference(avatar_split_clause,[],[f12855,f12674,f5686,f476,f315,f13372]) ).
fof(f13372,plain,
( spl5_562
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_562])]) ).
fof(f12674,plain,
( spl5_544
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_544])]) ).
fof(f12855,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_272
| ~ spl5_544 ),
inference(forward_demodulation,[],[f12854,f5688]) ).
fof(f12854,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_544 ),
inference(forward_demodulation,[],[f12830,f478]) ).
fof(f12830,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_544 ),
inference(resolution,[],[f12675,f317]) ).
fof(f12675,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) )
| ~ spl5_544 ),
inference(avatar_component_clause,[],[f12674]) ).
fof(f12949,plain,
( spl5_561
| ~ spl5_18
| ~ spl5_49
| ~ spl5_264
| ~ spl5_541 ),
inference(avatar_split_clause,[],[f12768,f12662,f5246,f476,f315,f12946]) ).
fof(f12946,plain,
( spl5_561
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_561])]) ).
fof(f12662,plain,
( spl5_541
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_541])]) ).
fof(f12768,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_264
| ~ spl5_541 ),
inference(forward_demodulation,[],[f12767,f5248]) ).
fof(f12767,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_49
| ~ spl5_541 ),
inference(forward_demodulation,[],[f12743,f478]) ).
fof(f12743,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_541 ),
inference(resolution,[],[f12663,f317]) ).
fof(f12663,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) )
| ~ spl5_541 ),
inference(avatar_component_clause,[],[f12662]) ).
fof(f12742,plain,
( spl5_560
| ~ spl5_159
| ~ spl5_216
| ~ spl5_272
| ~ spl5_307 ),
inference(avatar_split_clause,[],[f6737,f6581,f5686,f4269,f1941,f12740]) ).
fof(f6737,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_216
| ~ spl5_272
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6736,f5688]) ).
fof(f6736,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_216
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6717,f4490]) ).
fof(f4490,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_159
| ~ spl5_216 ),
inference(resolution,[],[f4270,f1942]) ).
fof(f6717,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_307 ),
inference(resolution,[],[f6582,f4270]) ).
fof(f12738,plain,
( spl5_559
| ~ spl5_159
| ~ spl5_215
| ~ spl5_264
| ~ spl5_307 ),
inference(avatar_split_clause,[],[f6735,f6581,f5246,f4265,f1941,f12736]) ).
fof(f6735,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_215
| ~ spl5_264
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6734,f5248]) ).
fof(f6734,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_215
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6716,f4344]) ).
fof(f4344,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_159
| ~ spl5_215 ),
inference(resolution,[],[f4266,f1942]) ).
fof(f6716,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_307 ),
inference(resolution,[],[f6582,f4266]) ).
fof(f12734,plain,
( spl5_558
| ~ spl5_58
| ~ spl5_158
| ~ spl5_216
| ~ spl5_238
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f5672,f5527,f4690,f4269,f1937,f521,f12732]) ).
fof(f5672,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_158
| ~ spl5_216
| ~ spl5_238
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5671,f4778]) ).
fof(f5671,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_216
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5652,f4489]) ).
fof(f5652,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_270 ),
inference(resolution,[],[f5528,f4270]) ).
fof(f12730,plain,
( spl5_557
| ~ spl5_12
| ~ spl5_162
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12600,f11085,f2395,f285,f12727]) ).
fof(f12727,plain,
( spl5_557
<=> sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_557])]) ).
fof(f12600,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_162
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12575,f2397]) ).
fof(f12575,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_537 ),
inference(resolution,[],[f11086,f287]) ).
fof(f12725,plain,
( spl5_556
| ~ spl5_58
| ~ spl5_158
| ~ spl5_215
| ~ spl5_232
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f5670,f5527,f4609,f4265,f1937,f521,f12723]) ).
fof(f12723,plain,
( spl5_556
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_556])]) ).
fof(f5670,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_158
| ~ spl5_215
| ~ spl5_232
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5669,f4731]) ).
fof(f5669,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_215
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5651,f4343]) ).
fof(f5651,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_270 ),
inference(resolution,[],[f5528,f4266]) ).
fof(f12721,plain,
( spl5_555
| ~ spl5_61
| ~ spl5_216
| ~ spl5_238
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f5593,f5515,f4690,f4269,f533,f12719]) ).
fof(f12719,plain,
( spl5_555
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_555])]) ).
fof(f5593,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_216
| ~ spl5_238
| ~ spl5_267 ),
inference(forward_demodulation,[],[f5574,f4781]) ).
fof(f4781,plain,
( sdtasdt0(xC,xD) = smndt0(smndt0(sdtasdt0(xC,xD)))
| ~ spl5_61
| ~ spl5_238 ),
inference(resolution,[],[f4692,f534]) ).
fof(f5574,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_267 ),
inference(resolution,[],[f5516,f4270]) ).
fof(f12717,plain,
( spl5_554
| ~ spl5_61
| ~ spl5_215
| ~ spl5_232
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f5592,f5515,f4609,f4265,f533,f12715]) ).
fof(f12715,plain,
( spl5_554
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_554])]) ).
fof(f5592,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_215
| ~ spl5_232
| ~ spl5_267 ),
inference(forward_demodulation,[],[f5573,f4734]) ).
fof(f4734,plain,
( sdtasdt0(xE,xE) = smndt0(smndt0(sdtasdt0(xE,xE)))
| ~ spl5_61
| ~ spl5_232 ),
inference(resolution,[],[f4611,f534]) ).
fof(f5573,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_267 ),
inference(resolution,[],[f5516,f4266]) ).
fof(f12713,plain,
( spl5_553
| ~ spl5_61
| ~ spl5_216
| ~ spl5_238
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f5557,f5506,f4690,f4269,f533,f12711]) ).
fof(f12711,plain,
( spl5_553
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_553])]) ).
fof(f5557,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_216
| ~ spl5_238
| ~ spl5_265 ),
inference(forward_demodulation,[],[f5538,f4781]) ).
fof(f5538,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_216
| ~ spl5_265 ),
inference(resolution,[],[f5507,f4270]) ).
fof(f12709,plain,
( spl5_552
| ~ spl5_61
| ~ spl5_215
| ~ spl5_232
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f5556,f5506,f4609,f4265,f533,f12707]) ).
fof(f12707,plain,
( spl5_552
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_552])]) ).
fof(f5556,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_61
| ~ spl5_215
| ~ spl5_232
| ~ spl5_265 ),
inference(forward_demodulation,[],[f5537,f4734]) ).
fof(f5537,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_215
| ~ spl5_265 ),
inference(resolution,[],[f5507,f4266]) ).
fof(f12705,plain,
( spl5_551
| ~ spl5_216
| ~ spl5_236 ),
inference(avatar_split_clause,[],[f4668,f4628,f4269,f12703]) ).
fof(f12703,plain,
( spl5_551
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_551])]) ).
fof(f4668,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_236 ),
inference(resolution,[],[f4629,f4270]) ).
fof(f12701,plain,
( spl5_550
| ~ spl5_215
| ~ spl5_236 ),
inference(avatar_split_clause,[],[f4667,f4628,f4265,f12699]) ).
fof(f12699,plain,
( spl5_550
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_550])]) ).
fof(f4667,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_236 ),
inference(resolution,[],[f4629,f4266]) ).
fof(f12697,plain,
( spl5_549
| ~ spl5_216
| ~ spl5_235 ),
inference(avatar_split_clause,[],[f4647,f4624,f4269,f12695]) ).
fof(f12695,plain,
( spl5_549
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtpldt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_549])]) ).
fof(f4647,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtpldt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_235 ),
inference(resolution,[],[f4625,f4270]) ).
fof(f12693,plain,
( spl5_548
| ~ spl5_215
| ~ spl5_235 ),
inference(avatar_split_clause,[],[f4646,f4624,f4265,f12691]) ).
fof(f12691,plain,
( spl5_548
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtpldt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_548])]) ).
fof(f4646,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtpldt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_235 ),
inference(resolution,[],[f4625,f4266]) ).
fof(f12689,plain,
( spl5_547
| ~ spl5_82
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4457,f4269,f658,f12687]) ).
fof(f12687,plain,
( spl5_547
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_547])]) ).
fof(f4457,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) )
| ~ spl5_82
| ~ spl5_216 ),
inference(resolution,[],[f4270,f659]) ).
fof(f12685,plain,
( spl5_546
| ~ spl5_13
| ~ spl5_144
| ~ spl5_537 ),
inference(avatar_split_clause,[],[f12599,f11085,f1411,f290,f12682]) ).
fof(f12682,plain,
( spl5_546
<=> sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_546])]) ).
fof(f12599,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_144
| ~ spl5_537 ),
inference(forward_demodulation,[],[f12574,f1413]) ).
fof(f12574,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_537 ),
inference(resolution,[],[f11086,f292]) ).
fof(f12680,plain,
( spl5_545
| ~ spl5_81
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4456,f4269,f654,f12678]) ).
fof(f12678,plain,
( spl5_545
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_545])]) ).
fof(f4456,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_81
| ~ spl5_216 ),
inference(resolution,[],[f4270,f655]) ).
fof(f12676,plain,
( spl5_544
| ~ spl5_80
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4455,f4269,f650,f12674]) ).
fof(f4455,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_80
| ~ spl5_216 ),
inference(resolution,[],[f4270,f651]) ).
fof(f12672,plain,
( spl5_543
| ~ spl5_82
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4311,f4265,f658,f12670]) ).
fof(f12670,plain,
( spl5_543
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_543])]) ).
fof(f4311,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_82
| ~ spl5_215 ),
inference(resolution,[],[f4266,f659]) ).
fof(f12668,plain,
( spl5_542
| ~ spl5_81
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4310,f4265,f654,f12666]) ).
fof(f12666,plain,
( spl5_542
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_542])]) ).
fof(f4310,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_81
| ~ spl5_215 ),
inference(resolution,[],[f4266,f655]) ).
fof(f12664,plain,
( spl5_541
| ~ spl5_80
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4309,f4265,f650,f12662]) ).
fof(f4309,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_80
| ~ spl5_215 ),
inference(resolution,[],[f4266,f651]) ).
fof(f12507,plain,
( spl5_540
| ~ spl5_64
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4735,f4609,f550,f12504]) ).
fof(f12504,plain,
( spl5_540
<=> sz0z00 = sdtpldt0(sdtasdt0(xE,xE),smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_540])]) ).
fof(f4735,plain,
( sz0z00 = sdtpldt0(sdtasdt0(xE,xE),smndt0(sdtasdt0(xE,xE)))
| ~ spl5_64
| ~ spl5_232 ),
inference(resolution,[],[f4611,f551]) ).
fof(f11164,plain,
( spl5_539
| ~ spl5_61
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f8232,f8000,f533,f11161]) ).
fof(f11161,plain,
( spl5_539
<=> sdtasdt0(xH,xH) = smndt0(smndt0(sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_539])]) ).
fof(f8000,plain,
( spl5_342
<=> sP2(sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_342])]) ).
fof(f8232,plain,
( sdtasdt0(xH,xH) = smndt0(smndt0(sdtasdt0(xH,xH)))
| ~ spl5_61
| ~ spl5_342 ),
inference(resolution,[],[f8002,f534]) ).
fof(f8002,plain,
( sP2(sdtasdt0(xH,xH))
| ~ spl5_342 ),
inference(avatar_component_clause,[],[f8000]) ).
fof(f11091,plain,
( spl5_538
| ~ spl5_159
| ~ spl5_216
| ~ spl5_271
| ~ spl5_272 ),
inference(avatar_split_clause,[],[f5714,f5686,f5531,f4269,f1941,f11089]) ).
fof(f5714,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_216
| ~ spl5_271
| ~ spl5_272 ),
inference(forward_demodulation,[],[f5713,f5688]) ).
fof(f5713,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_216
| ~ spl5_271 ),
inference(forward_demodulation,[],[f5694,f4490]) ).
fof(f5694,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_216
| ~ spl5_271 ),
inference(resolution,[],[f5532,f4270]) ).
fof(f11087,plain,
( spl5_537
| ~ spl5_159
| ~ spl5_215
| ~ spl5_264
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f5712,f5531,f5246,f4265,f1941,f11085]) ).
fof(f5712,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_215
| ~ spl5_264
| ~ spl5_271 ),
inference(forward_demodulation,[],[f5711,f5248]) ).
fof(f5711,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_215
| ~ spl5_271 ),
inference(forward_demodulation,[],[f5693,f4344]) ).
fof(f5693,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_215
| ~ spl5_271 ),
inference(resolution,[],[f5532,f4266]) ).
fof(f11083,plain,
( spl5_536
| ~ spl5_153
| ~ spl5_206
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4567,f4269,f3239,f1448,f11080]) ).
fof(f11080,plain,
( spl5_536
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_536])]) ).
fof(f4567,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_153
| ~ spl5_206
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4528,f4488]) ).
fof(f4528,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xN)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN)
| ~ spl5_206
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3240]) ).
fof(f11078,plain,
( spl5_535
| ~ spl5_152
| ~ spl5_204
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4566,f4269,f3230,f1444,f11075]) ).
fof(f11075,plain,
( spl5_535
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_535])]) ).
fof(f4566,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_152
| ~ spl5_204
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4527,f4487]) ).
fof(f4527,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xS)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS)
| ~ spl5_204
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3231]) ).
fof(f11073,plain,
( spl5_534
| ~ spl5_151
| ~ spl5_203
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4565,f4269,f3226,f1440,f11070]) ).
fof(f11070,plain,
( spl5_534
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_534])]) ).
fof(f4565,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_151
| ~ spl5_203
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4526,f4486]) ).
fof(f4526,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xP)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP)
| ~ spl5_203
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3227]) ).
fof(f11068,plain,
( spl5_533
| ~ spl5_150
| ~ spl5_202
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4564,f4269,f3222,f1436,f11065]) ).
fof(f11065,plain,
( spl5_533
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_533])]) ).
fof(f4564,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_150
| ~ spl5_202
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4525,f4485]) ).
fof(f4525,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xR)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR)
| ~ spl5_202
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3223]) ).
fof(f11063,plain,
( spl5_532
| ~ spl5_149
| ~ spl5_201
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4563,f4269,f3218,f1432,f11060]) ).
fof(f11060,plain,
( spl5_532
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_532])]) ).
fof(f4563,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_149
| ~ spl5_201
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4524,f4484]) ).
fof(f4524,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xH)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH)
| ~ spl5_201
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3219]) ).
fof(f11058,plain,
( spl5_531
| ~ spl5_58
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f8229,f8000,f521,f11055]) ).
fof(f11055,plain,
( spl5_531
<=> sdtasdt0(xH,xH) = sdtpldt0(sz0z00,sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_531])]) ).
fof(f8229,plain,
( sdtasdt0(xH,xH) = sdtpldt0(sz0z00,sdtasdt0(xH,xH))
| ~ spl5_58
| ~ spl5_342 ),
inference(resolution,[],[f8002,f522]) ).
fof(f11053,plain,
( spl5_530
| ~ spl5_148
| ~ spl5_200
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4562,f4269,f3214,f1428,f11050]) ).
fof(f11050,plain,
( spl5_530
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_530])]) ).
fof(f4562,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_148
| ~ spl5_200
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4523,f4483]) ).
fof(f4523,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xG)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG)
| ~ spl5_200
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3215]) ).
fof(f11048,plain,
( spl5_529
| ~ spl5_147
| ~ spl5_199
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4561,f4269,f3210,f1424,f11045]) ).
fof(f11045,plain,
( spl5_529
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_529])]) ).
fof(f4561,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_147
| ~ spl5_199
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4522,f4482]) ).
fof(f4522,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xF)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF)
| ~ spl5_199
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3211]) ).
fof(f11043,plain,
( spl5_528
| ~ spl5_146
| ~ spl5_198
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4560,f4269,f3206,f1420,f11040]) ).
fof(f11040,plain,
( spl5_528
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_528])]) ).
fof(f4560,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_146
| ~ spl5_198
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4521,f4481]) ).
fof(f4521,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xE)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE)
| ~ spl5_198
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3207]) ).
fof(f11038,plain,
( spl5_527
| ~ spl5_145
| ~ spl5_197
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4559,f4269,f3202,f1416,f11035]) ).
fof(f11035,plain,
( spl5_527
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_527])]) ).
fof(f4559,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_145
| ~ spl5_197
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4520,f4480]) ).
fof(f4520,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD)
| ~ spl5_197
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3203]) ).
fof(f11033,plain,
( spl5_526
| ~ spl5_143
| ~ spl5_196
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4558,f4269,f3198,f1407,f11030]) ).
fof(f11030,plain,
( spl5_526
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_526])]) ).
fof(f4558,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_143
| ~ spl5_196
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4519,f4479]) ).
fof(f4519,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xC)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC)
| ~ spl5_196
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3199]) ).
fof(f11028,plain,
( spl5_525
| ~ spl5_142
| ~ spl5_195
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4557,f4269,f3194,f1403,f11025]) ).
fof(f11025,plain,
( spl5_525
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_525])]) ).
fof(f4557,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_142
| ~ spl5_195
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4518,f4478]) ).
fof(f4518,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xB)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB)
| ~ spl5_195
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3195]) ).
fof(f11023,plain,
( spl5_524
| ~ spl5_141
| ~ spl5_193
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4556,f4269,f3185,f1399,f11020]) ).
fof(f11020,plain,
( spl5_524
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_524])]) ).
fof(f4556,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_141
| ~ spl5_193
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4517,f4477]) ).
fof(f4517,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xA)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA)
| ~ spl5_193
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3186]) ).
fof(f11018,plain,
( spl5_523
| ~ spl5_153
| ~ spl5_192
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4555,f4269,f3181,f1448,f11015]) ).
fof(f11015,plain,
( spl5_523
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_523])]) ).
fof(f4555,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_153
| ~ spl5_192
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4516,f4488]) ).
fof(f4516,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ spl5_192
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3182]) ).
fof(f11013,plain,
( spl5_522
| ~ spl5_152
| ~ spl5_191
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4554,f4269,f3177,f1444,f11010]) ).
fof(f11010,plain,
( spl5_522
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_522])]) ).
fof(f4554,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_152
| ~ spl5_191
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4515,f4487]) ).
fof(f4515,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ spl5_191
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3178]) ).
fof(f11008,plain,
( spl5_521
| ~ spl5_151
| ~ spl5_190
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4553,f4269,f3173,f1440,f11005]) ).
fof(f11005,plain,
( spl5_521
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_521])]) ).
fof(f4553,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_151
| ~ spl5_190
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4514,f4486]) ).
fof(f4514,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ spl5_190
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3174]) ).
fof(f11003,plain,
( spl5_520
| ~ spl5_57
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f8228,f8000,f517,f11000]) ).
fof(f11000,plain,
( spl5_520
<=> sdtasdt0(xH,xH) = sdtpldt0(sdtasdt0(xH,xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_520])]) ).
fof(f8228,plain,
( sdtasdt0(xH,xH) = sdtpldt0(sdtasdt0(xH,xH),sz0z00)
| ~ spl5_57
| ~ spl5_342 ),
inference(resolution,[],[f8002,f518]) ).
fof(f10998,plain,
( spl5_519
| ~ spl5_150
| ~ spl5_189
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4552,f4269,f3169,f1436,f10995]) ).
fof(f10995,plain,
( spl5_519
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_519])]) ).
fof(f4552,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_150
| ~ spl5_189
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4513,f4485]) ).
fof(f4513,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ spl5_189
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3170]) ).
fof(f10993,plain,
( spl5_518
| ~ spl5_149
| ~ spl5_188
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4551,f4269,f3165,f1432,f10990]) ).
fof(f10990,plain,
( spl5_518
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_518])]) ).
fof(f4551,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_149
| ~ spl5_188
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4512,f4484]) ).
fof(f4512,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ spl5_188
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3166]) ).
fof(f10988,plain,
( spl5_517
| ~ spl5_148
| ~ spl5_187
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4550,f4269,f3161,f1428,f10985]) ).
fof(f10985,plain,
( spl5_517
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_517])]) ).
fof(f4550,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_148
| ~ spl5_187
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4511,f4483]) ).
fof(f4511,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ spl5_187
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3162]) ).
fof(f10983,plain,
( spl5_516
| ~ spl5_147
| ~ spl5_186
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4549,f4269,f3157,f1424,f10980]) ).
fof(f10980,plain,
( spl5_516
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_516])]) ).
fof(f4549,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_147
| ~ spl5_186
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4510,f4482]) ).
fof(f4510,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ spl5_186
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3158]) ).
fof(f10978,plain,
( spl5_515
| ~ spl5_146
| ~ spl5_185
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4548,f4269,f3153,f1420,f10975]) ).
fof(f10975,plain,
( spl5_515
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_515])]) ).
fof(f4548,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_146
| ~ spl5_185
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4509,f4481]) ).
fof(f4509,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ spl5_185
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3154]) ).
fof(f10973,plain,
( spl5_514
| ~ spl5_145
| ~ spl5_184
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4547,f4269,f3149,f1416,f10970]) ).
fof(f10970,plain,
( spl5_514
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_514])]) ).
fof(f4547,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_145
| ~ spl5_184
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4508,f4480]) ).
fof(f4508,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ spl5_184
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3150]) ).
fof(f10968,plain,
( spl5_513
| ~ spl5_143
| ~ spl5_182
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4546,f4269,f3140,f1407,f10965]) ).
fof(f10965,plain,
( spl5_513
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_513])]) ).
fof(f4546,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_143
| ~ spl5_182
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4507,f4479]) ).
fof(f4507,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ spl5_182
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3141]) ).
fof(f10963,plain,
( spl5_512
| ~ spl5_142
| ~ spl5_181
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4545,f4269,f3136,f1403,f10960]) ).
fof(f10960,plain,
( spl5_512
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_512])]) ).
fof(f4545,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_142
| ~ spl5_181
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4506,f4478]) ).
fof(f4506,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ spl5_181
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3137]) ).
fof(f10958,plain,
( spl5_511
| ~ spl5_141
| ~ spl5_180
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4544,f4269,f3132,f1399,f10955]) ).
fof(f10955,plain,
( spl5_511
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_511])]) ).
fof(f4544,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_141
| ~ spl5_180
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4505,f4477]) ).
fof(f4505,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ spl5_180
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3133]) ).
fof(f10953,plain,
( spl5_510
| ~ spl5_153
| ~ spl5_179
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4543,f4269,f3128,f1448,f10950]) ).
fof(f10950,plain,
( spl5_510
<=> sdtasdt0(xN,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_510])]) ).
fof(f4543,plain,
( sdtasdt0(xN,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN))
| ~ spl5_153
| ~ spl5_179
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4504,f4488]) ).
fof(f4504,plain,
( sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN))
| ~ spl5_179
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3129]) ).
fof(f10948,plain,
( spl5_509
| ~ spl5_61
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f8107,f7903,f533,f10945]) ).
fof(f10945,plain,
( spl5_509
<=> sdtpldt0(xP,xP) = smndt0(smndt0(sdtpldt0(xP,xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_509])]) ).
fof(f7903,plain,
( spl5_336
<=> sP2(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_336])]) ).
fof(f8107,plain,
( sdtpldt0(xP,xP) = smndt0(smndt0(sdtpldt0(xP,xP)))
| ~ spl5_61
| ~ spl5_336 ),
inference(resolution,[],[f7905,f534]) ).
fof(f7905,plain,
( sP2(sdtpldt0(xP,xP))
| ~ spl5_336 ),
inference(avatar_component_clause,[],[f7903]) ).
fof(f10943,plain,
( spl5_508
| ~ spl5_152
| ~ spl5_178
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4542,f4269,f3124,f1444,f10940]) ).
fof(f10940,plain,
( spl5_508
<=> sdtasdt0(xS,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_508])]) ).
fof(f4542,plain,
( sdtasdt0(xS,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS))
| ~ spl5_152
| ~ spl5_178
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4503,f4487]) ).
fof(f4503,plain,
( sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS))
| ~ spl5_178
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3125]) ).
fof(f10938,plain,
( spl5_507
| ~ spl5_151
| ~ spl5_177
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4541,f4269,f3120,f1440,f10935]) ).
fof(f10935,plain,
( spl5_507
<=> sdtasdt0(xP,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_507])]) ).
fof(f4541,plain,
( sdtasdt0(xP,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP))
| ~ spl5_151
| ~ spl5_177
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4502,f4486]) ).
fof(f4502,plain,
( sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP))
| ~ spl5_177
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3121]) ).
fof(f10933,plain,
( spl5_506
| ~ spl5_150
| ~ spl5_176
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4540,f4269,f3116,f1436,f10930]) ).
fof(f10930,plain,
( spl5_506
<=> sdtasdt0(xR,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_506])]) ).
fof(f4540,plain,
( sdtasdt0(xR,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR))
| ~ spl5_150
| ~ spl5_176
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4501,f4485]) ).
fof(f4501,plain,
( sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR))
| ~ spl5_176
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3117]) ).
fof(f10928,plain,
( spl5_505
| ~ spl5_149
| ~ spl5_175
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4539,f4269,f3112,f1432,f10925]) ).
fof(f10925,plain,
( spl5_505
<=> sdtasdt0(xH,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_505])]) ).
fof(f4539,plain,
( sdtasdt0(xH,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH))
| ~ spl5_149
| ~ spl5_175
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4500,f4484]) ).
fof(f4500,plain,
( sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH))
| ~ spl5_175
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3113]) ).
fof(f10923,plain,
( spl5_504
| ~ spl5_148
| ~ spl5_174
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4538,f4269,f3108,f1428,f10920]) ).
fof(f10920,plain,
( spl5_504
<=> sdtasdt0(xG,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_504])]) ).
fof(f4538,plain,
( sdtasdt0(xG,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG))
| ~ spl5_148
| ~ spl5_174
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4499,f4483]) ).
fof(f4499,plain,
( sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG))
| ~ spl5_174
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3109]) ).
fof(f10918,plain,
( spl5_503
| ~ spl5_147
| ~ spl5_173
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4537,f4269,f3104,f1424,f10915]) ).
fof(f10915,plain,
( spl5_503
<=> sdtasdt0(xF,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_503])]) ).
fof(f4537,plain,
( sdtasdt0(xF,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF))
| ~ spl5_147
| ~ spl5_173
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4498,f4482]) ).
fof(f4498,plain,
( sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF))
| ~ spl5_173
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3105]) ).
fof(f10913,plain,
( spl5_502
| ~ spl5_146
| ~ spl5_171
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4536,f4269,f3095,f1420,f10910]) ).
fof(f10910,plain,
( spl5_502
<=> sdtasdt0(xE,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_502])]) ).
fof(f4536,plain,
( sdtasdt0(xE,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE))
| ~ spl5_146
| ~ spl5_171
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4497,f4481]) ).
fof(f4497,plain,
( sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE))
| ~ spl5_171
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3096]) ).
fof(f10908,plain,
( spl5_501
| ~ spl5_145
| ~ spl5_170
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4535,f4269,f3091,f1416,f10905]) ).
fof(f10905,plain,
( spl5_501
<=> sdtasdt0(xD,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_501])]) ).
fof(f4535,plain,
( sdtasdt0(xD,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD))
| ~ spl5_145
| ~ spl5_170
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4496,f4480]) ).
fof(f4496,plain,
( sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD))
| ~ spl5_170
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3092]) ).
fof(f10903,plain,
( spl5_500
| ~ spl5_143
| ~ spl5_169
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4534,f4269,f3087,f1407,f10900]) ).
fof(f10900,plain,
( spl5_500
<=> sdtasdt0(xC,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_500])]) ).
fof(f4534,plain,
( sdtasdt0(xC,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC))
| ~ spl5_143
| ~ spl5_169
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4495,f4479]) ).
fof(f4495,plain,
( sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC))
| ~ spl5_169
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3088]) ).
fof(f10898,plain,
( spl5_499
| ~ spl5_142
| ~ spl5_168
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4533,f4269,f3083,f1403,f10895]) ).
fof(f10895,plain,
( spl5_499
<=> sdtasdt0(xB,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_499])]) ).
fof(f4533,plain,
( sdtasdt0(xB,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB))
| ~ spl5_142
| ~ spl5_168
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4494,f4478]) ).
fof(f4494,plain,
( sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB))
| ~ spl5_168
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3084]) ).
fof(f10893,plain,
( spl5_498
| ~ spl5_58
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f8104,f7903,f521,f10890]) ).
fof(f10890,plain,
( spl5_498
<=> sdtpldt0(xP,xP) = sdtpldt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_498])]) ).
fof(f8104,plain,
( sdtpldt0(xP,xP) = sdtpldt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_58
| ~ spl5_336 ),
inference(resolution,[],[f7905,f522]) ).
fof(f10888,plain,
( spl5_497
| ~ spl5_141
| ~ spl5_167
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4532,f4269,f3079,f1399,f10885]) ).
fof(f10885,plain,
( spl5_497
<=> sdtasdt0(xA,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_497])]) ).
fof(f4532,plain,
( sdtasdt0(xA,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA))
| ~ spl5_141
| ~ spl5_167
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4493,f4477]) ).
fof(f4493,plain,
( sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA))
| ~ spl5_167
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3080]) ).
fof(f10883,plain,
( spl5_496
| ~ spl5_87
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4459,f4269,f757,f10881]) ).
fof(f10881,plain,
( spl5_496
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(sdtasdt0(xC,xD),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_496])]) ).
fof(f4459,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_87
| ~ spl5_216 ),
inference(resolution,[],[f4270,f758]) ).
fof(f10879,plain,
( spl5_495
| ~ spl5_85
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4458,f4269,f669,f10877]) ).
fof(f4458,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_85
| ~ spl5_216 ),
inference(resolution,[],[f4270,f670]) ).
fof(f10875,plain,
( spl5_494
| ~ spl5_153
| ~ spl5_206
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4421,f4265,f3239,f1448,f10872]) ).
fof(f10872,plain,
( spl5_494
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_494])]) ).
fof(f4421,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_153
| ~ spl5_206
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4382,f4342]) ).
fof(f4382,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xN)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN)
| ~ spl5_206
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3240]) ).
fof(f10870,plain,
( spl5_493
| ~ spl5_152
| ~ spl5_204
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4420,f4265,f3230,f1444,f10867]) ).
fof(f10867,plain,
( spl5_493
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_493])]) ).
fof(f4420,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_152
| ~ spl5_204
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4381,f4341]) ).
fof(f4381,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xS)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS)
| ~ spl5_204
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3231]) ).
fof(f10865,plain,
( spl5_492
| ~ spl5_151
| ~ spl5_203
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4419,f4265,f3226,f1440,f10862]) ).
fof(f10862,plain,
( spl5_492
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_492])]) ).
fof(f4419,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_151
| ~ spl5_203
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4380,f4340]) ).
fof(f4380,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP)
| ~ spl5_203
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3227]) ).
fof(f10860,plain,
( spl5_491
| ~ spl5_150
| ~ spl5_202
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4418,f4265,f3222,f1436,f10857]) ).
fof(f10857,plain,
( spl5_491
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_491])]) ).
fof(f4418,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_150
| ~ spl5_202
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4379,f4339]) ).
fof(f4379,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xR)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR)
| ~ spl5_202
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3223]) ).
fof(f10855,plain,
( spl5_490
| ~ spl5_149
| ~ spl5_201
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4417,f4265,f3218,f1432,f10852]) ).
fof(f10852,plain,
( spl5_490
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_490])]) ).
fof(f4417,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_149
| ~ spl5_201
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4378,f4338]) ).
fof(f4378,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xH)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH)
| ~ spl5_201
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3219]) ).
fof(f10850,plain,
( spl5_489
| ~ spl5_148
| ~ spl5_200
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4416,f4265,f3214,f1428,f10847]) ).
fof(f10847,plain,
( spl5_489
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_489])]) ).
fof(f4416,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_148
| ~ spl5_200
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4377,f4337]) ).
fof(f4377,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xG)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG)
| ~ spl5_200
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3215]) ).
fof(f10845,plain,
( spl5_488
| ~ spl5_147
| ~ spl5_199
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4415,f4265,f3210,f1424,f10842]) ).
fof(f10842,plain,
( spl5_488
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_488])]) ).
fof(f4415,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_147
| ~ spl5_199
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4376,f4336]) ).
fof(f4376,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xF)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF)
| ~ spl5_199
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3211]) ).
fof(f10840,plain,
( spl5_487
| ~ spl5_57
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f8103,f7903,f517,f10837]) ).
fof(f10837,plain,
( spl5_487
<=> sdtpldt0(xP,xP) = sdtpldt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_487])]) ).
fof(f8103,plain,
( sdtpldt0(xP,xP) = sdtpldt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_57
| ~ spl5_336 ),
inference(resolution,[],[f7905,f518]) ).
fof(f10835,plain,
( spl5_486
| ~ spl5_146
| ~ spl5_198
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4414,f4265,f3206,f1420,f10832]) ).
fof(f10832,plain,
( spl5_486
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_486])]) ).
fof(f4414,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_146
| ~ spl5_198
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4375,f4335]) ).
fof(f4375,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE)
| ~ spl5_198
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3207]) ).
fof(f10830,plain,
( spl5_485
| ~ spl5_145
| ~ spl5_197
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4413,f4265,f3202,f1416,f10827]) ).
fof(f10827,plain,
( spl5_485
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_485])]) ).
fof(f4413,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_145
| ~ spl5_197
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4374,f4334]) ).
fof(f4374,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xD)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD)
| ~ spl5_197
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3203]) ).
fof(f10825,plain,
( spl5_484
| ~ spl5_143
| ~ spl5_196
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4412,f4265,f3198,f1407,f10822]) ).
fof(f10822,plain,
( spl5_484
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_484])]) ).
fof(f4412,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_143
| ~ spl5_196
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4373,f4333]) ).
fof(f4373,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xC)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC)
| ~ spl5_196
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3199]) ).
fof(f10820,plain,
( spl5_483
| ~ spl5_142
| ~ spl5_195
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4411,f4265,f3194,f1403,f10817]) ).
fof(f10817,plain,
( spl5_483
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_483])]) ).
fof(f4411,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_142
| ~ spl5_195
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4372,f4332]) ).
fof(f4372,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xB)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB)
| ~ spl5_195
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3195]) ).
fof(f10815,plain,
( spl5_482
| ~ spl5_141
| ~ spl5_193
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4410,f4265,f3185,f1399,f10812]) ).
fof(f10812,plain,
( spl5_482
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_482])]) ).
fof(f4410,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_141
| ~ spl5_193
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4371,f4331]) ).
fof(f4371,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xA)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA)
| ~ spl5_193
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3186]) ).
fof(f10810,plain,
( spl5_481
| ~ spl5_153
| ~ spl5_192
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4409,f4265,f3181,f1448,f10807]) ).
fof(f10807,plain,
( spl5_481
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_481])]) ).
fof(f4409,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_153
| ~ spl5_192
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4370,f4342]) ).
fof(f4370,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ spl5_192
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3182]) ).
fof(f10805,plain,
( spl5_480
| ~ spl5_152
| ~ spl5_191
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4408,f4265,f3177,f1444,f10802]) ).
fof(f10802,plain,
( spl5_480
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_480])]) ).
fof(f4408,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_152
| ~ spl5_191
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4369,f4341]) ).
fof(f4369,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ spl5_191
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3178]) ).
fof(f10800,plain,
( spl5_479
| ~ spl5_151
| ~ spl5_190
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4407,f4265,f3173,f1440,f10797]) ).
fof(f10797,plain,
( spl5_479
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_479])]) ).
fof(f4407,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_151
| ~ spl5_190
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4368,f4340]) ).
fof(f4368,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ spl5_190
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3174]) ).
fof(f10795,plain,
( spl5_478
| ~ spl5_150
| ~ spl5_189
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4406,f4265,f3169,f1436,f10792]) ).
fof(f10792,plain,
( spl5_478
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_478])]) ).
fof(f4406,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_150
| ~ spl5_189
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4367,f4339]) ).
fof(f4367,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ spl5_189
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3170]) ).
fof(f10790,plain,
( spl5_477
| ~ spl5_149
| ~ spl5_188
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4405,f4265,f3165,f1432,f10787]) ).
fof(f10787,plain,
( spl5_477
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_477])]) ).
fof(f4405,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_149
| ~ spl5_188
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4366,f4338]) ).
fof(f4366,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ spl5_188
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3166]) ).
fof(f10783,plain,
( spl5_476
| ~ spl5_148
| ~ spl5_187
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4404,f4265,f3161,f1428,f10780]) ).
fof(f10780,plain,
( spl5_476
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_476])]) ).
fof(f4404,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_148
| ~ spl5_187
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4365,f4337]) ).
fof(f4365,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ spl5_187
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3162]) ).
fof(f10778,plain,
( spl5_475
| ~ spl5_147
| ~ spl5_186
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4403,f4265,f3157,f1424,f10775]) ).
fof(f10775,plain,
( spl5_475
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_475])]) ).
fof(f4403,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_147
| ~ spl5_186
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4364,f4336]) ).
fof(f4364,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ spl5_186
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3158]) ).
fof(f10773,plain,
( spl5_474
| ~ spl5_146
| ~ spl5_185
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4402,f4265,f3153,f1420,f10770]) ).
fof(f10770,plain,
( spl5_474
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_474])]) ).
fof(f4402,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_146
| ~ spl5_185
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4363,f4335]) ).
fof(f4363,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ spl5_185
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3154]) ).
fof(f10768,plain,
( spl5_473
| ~ spl5_145
| ~ spl5_184
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4401,f4265,f3149,f1416,f10765]) ).
fof(f10765,plain,
( spl5_473
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_473])]) ).
fof(f4401,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_145
| ~ spl5_184
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4362,f4334]) ).
fof(f4362,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ spl5_184
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3150]) ).
fof(f10763,plain,
( spl5_472
| ~ spl5_143
| ~ spl5_182
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4400,f4265,f3140,f1407,f10760]) ).
fof(f10760,plain,
( spl5_472
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_472])]) ).
fof(f4400,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_143
| ~ spl5_182
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4361,f4333]) ).
fof(f4361,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ spl5_182
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3141]) ).
fof(f10758,plain,
( spl5_471
| ~ spl5_142
| ~ spl5_181
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4399,f4265,f3136,f1403,f10755]) ).
fof(f10755,plain,
( spl5_471
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_471])]) ).
fof(f4399,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_142
| ~ spl5_181
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4360,f4332]) ).
fof(f4360,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ spl5_181
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3137]) ).
fof(f10753,plain,
( spl5_470
| ~ spl5_141
| ~ spl5_180
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4398,f4265,f3132,f1399,f10750]) ).
fof(f10750,plain,
( spl5_470
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_470])]) ).
fof(f4398,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_141
| ~ spl5_180
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4359,f4331]) ).
fof(f4359,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ spl5_180
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3133]) ).
fof(f10748,plain,
( spl5_469
| ~ spl5_153
| ~ spl5_179
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4397,f4265,f3128,f1448,f10745]) ).
fof(f10745,plain,
( spl5_469
<=> sdtasdt0(xN,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_469])]) ).
fof(f4397,plain,
( sdtasdt0(xN,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN))
| ~ spl5_153
| ~ spl5_179
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4358,f4342]) ).
fof(f4358,plain,
( sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN))
| ~ spl5_179
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3129]) ).
fof(f10743,plain,
( spl5_468
| ~ spl5_152
| ~ spl5_178
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4396,f4265,f3124,f1444,f10740]) ).
fof(f10740,plain,
( spl5_468
<=> sdtasdt0(xS,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_468])]) ).
fof(f4396,plain,
( sdtasdt0(xS,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS))
| ~ spl5_152
| ~ spl5_178
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4357,f4341]) ).
fof(f4357,plain,
( sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS))
| ~ spl5_178
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3125]) ).
fof(f10738,plain,
( spl5_467
| ~ spl5_151
| ~ spl5_177
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4395,f4265,f3120,f1440,f10735]) ).
fof(f10735,plain,
( spl5_467
<=> sdtasdt0(xP,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_467])]) ).
fof(f4395,plain,
( sdtasdt0(xP,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP))
| ~ spl5_151
| ~ spl5_177
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4356,f4340]) ).
fof(f4356,plain,
( sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP))
| ~ spl5_177
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3121]) ).
fof(f10718,plain,
( spl5_466
| ~ spl5_150
| ~ spl5_176
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4394,f4265,f3116,f1436,f10715]) ).
fof(f10715,plain,
( spl5_466
<=> sdtasdt0(xR,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_466])]) ).
fof(f4394,plain,
( sdtasdt0(xR,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR))
| ~ spl5_150
| ~ spl5_176
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4355,f4339]) ).
fof(f4355,plain,
( sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR))
| ~ spl5_176
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3117]) ).
fof(f10713,plain,
( spl5_465
| ~ spl5_149
| ~ spl5_175
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4393,f4265,f3112,f1432,f10710]) ).
fof(f10710,plain,
( spl5_465
<=> sdtasdt0(xH,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_465])]) ).
fof(f4393,plain,
( sdtasdt0(xH,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH))
| ~ spl5_149
| ~ spl5_175
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4354,f4338]) ).
fof(f4354,plain,
( sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH))
| ~ spl5_175
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3113]) ).
fof(f10708,plain,
( spl5_464
| ~ spl5_148
| ~ spl5_174
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4392,f4265,f3108,f1428,f10705]) ).
fof(f10705,plain,
( spl5_464
<=> sdtasdt0(xG,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_464])]) ).
fof(f4392,plain,
( sdtasdt0(xG,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG))
| ~ spl5_148
| ~ spl5_174
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4353,f4337]) ).
fof(f4353,plain,
( sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG))
| ~ spl5_174
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3109]) ).
fof(f10703,plain,
( spl5_463
| ~ spl5_147
| ~ spl5_173
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4391,f4265,f3104,f1424,f10700]) ).
fof(f10700,plain,
( spl5_463
<=> sdtasdt0(xF,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_463])]) ).
fof(f4391,plain,
( sdtasdt0(xF,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF))
| ~ spl5_147
| ~ spl5_173
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4352,f4336]) ).
fof(f4352,plain,
( sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF))
| ~ spl5_173
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3105]) ).
fof(f10698,plain,
( spl5_462
| ~ spl5_146
| ~ spl5_171
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4390,f4265,f3095,f1420,f10695]) ).
fof(f10695,plain,
( spl5_462
<=> sdtasdt0(xE,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_462])]) ).
fof(f4390,plain,
( sdtasdt0(xE,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE))
| ~ spl5_146
| ~ spl5_171
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4351,f4335]) ).
fof(f4351,plain,
( sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE))
| ~ spl5_171
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3096]) ).
fof(f10693,plain,
( spl5_461
| ~ spl5_145
| ~ spl5_170
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4389,f4265,f3091,f1416,f10690]) ).
fof(f10690,plain,
( spl5_461
<=> sdtasdt0(xD,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_461])]) ).
fof(f4389,plain,
( sdtasdt0(xD,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD))
| ~ spl5_145
| ~ spl5_170
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4350,f4334]) ).
fof(f4350,plain,
( sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD))
| ~ spl5_170
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3092]) ).
fof(f10688,plain,
( spl5_460
| ~ spl5_143
| ~ spl5_169
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4388,f4265,f3087,f1407,f10685]) ).
fof(f10685,plain,
( spl5_460
<=> sdtasdt0(xC,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_460])]) ).
fof(f4388,plain,
( sdtasdt0(xC,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC))
| ~ spl5_143
| ~ spl5_169
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4349,f4333]) ).
fof(f4349,plain,
( sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC))
| ~ spl5_169
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3088]) ).
fof(f10683,plain,
( spl5_459
| ~ spl5_142
| ~ spl5_168
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4387,f4265,f3083,f1403,f10680]) ).
fof(f10680,plain,
( spl5_459
<=> sdtasdt0(xB,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_459])]) ).
fof(f4387,plain,
( sdtasdt0(xB,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB))
| ~ spl5_142
| ~ spl5_168
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4348,f4332]) ).
fof(f4348,plain,
( sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB))
| ~ spl5_168
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3084]) ).
fof(f10678,plain,
( spl5_458
| ~ spl5_141
| ~ spl5_167
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4386,f4265,f3079,f1399,f10675]) ).
fof(f10675,plain,
( spl5_458
<=> sdtasdt0(xA,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_458])]) ).
fof(f4386,plain,
( sdtasdt0(xA,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA))
| ~ spl5_141
| ~ spl5_167
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4347,f4331]) ).
fof(f4347,plain,
( sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA))
| ~ spl5_167
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3080]) ).
fof(f10673,plain,
( spl5_457
| ~ spl5_87
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4313,f4265,f757,f10671]) ).
fof(f10671,plain,
( spl5_457
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_457])]) ).
fof(f4313,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),X0) )
| ~ spl5_87
| ~ spl5_215 ),
inference(resolution,[],[f4266,f758]) ).
fof(f10654,plain,
( spl5_456
| ~ spl5_85
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4312,f4265,f669,f10652]) ).
fof(f10652,plain,
( spl5_456
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(xE,xE),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_456])]) ).
fof(f4312,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(xE,xE),X0) )
| ~ spl5_85
| ~ spl5_215 ),
inference(resolution,[],[f4266,f670]) ).
fof(f10643,plain,
( spl5_455
| ~ spl5_22
| ~ spl5_221 ),
inference(avatar_split_clause,[],[f10324,f4299,f335,f10640]) ).
fof(f10640,plain,
( spl5_455
<=> sP2(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_455])]) ).
fof(f4299,plain,
( spl5_221
<=> aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_221])]) ).
fof(f10324,plain,
( sP2(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_22
| ~ spl5_221 ),
inference(resolution,[],[f4300,f336]) ).
fof(f4300,plain,
( aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_221 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f10637,plain,
( spl5_454
| ~ spl5_159
| ~ spl5_166
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4531,f4269,f3014,f1941,f10634]) ).
fof(f10634,plain,
( spl5_454
<=> sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_454])]) ).
fof(f4531,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ spl5_159
| ~ spl5_166
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4492,f4490]) ).
fof(f4492,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = smndt0(sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ spl5_166
| ~ spl5_216 ),
inference(resolution,[],[f4270,f3015]) ).
fof(f10610,plain,
( spl5_453
| ~ spl5_272
| ~ spl5_452 ),
inference(avatar_split_clause,[],[f10605,f10601,f5686,f10607]) ).
fof(f10607,plain,
( spl5_453
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_453])]) ).
fof(f10601,plain,
( spl5_452
<=> sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_452])]) ).
fof(f10605,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_272
| ~ spl5_452 ),
inference(forward_demodulation,[],[f10603,f5688]) ).
fof(f10603,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_452 ),
inference(avatar_component_clause,[],[f10601]) ).
fof(f10604,plain,
( spl5_452
| ~ spl5_159
| ~ spl5_160
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4530,f4269,f2012,f1941,f10601]) ).
fof(f4530,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_159
| ~ spl5_160
| ~ spl5_216 ),
inference(forward_demodulation,[],[f4491,f4490]) ).
fof(f4491,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_160
| ~ spl5_216 ),
inference(resolution,[],[f4270,f2013]) ).
fof(f10323,plain,
( ~ spl5_215
| ~ spl5_217
| ~ spl5_68
| spl5_221 ),
inference(avatar_split_clause,[],[f4425,f4299,f566,f4273,f4265]) ).
fof(f4425,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl5_68
| spl5_221 ),
inference(resolution,[],[f4301,f567]) ).
fof(f4301,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| spl5_221 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f10321,plain,
( spl5_451
| ~ spl5_159
| ~ spl5_166
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4385,f4265,f3014,f1941,f10318]) ).
fof(f10318,plain,
( spl5_451
<=> sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_451])]) ).
fof(f4385,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ spl5_159
| ~ spl5_166
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4346,f4344]) ).
fof(f4346,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = smndt0(sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ spl5_166
| ~ spl5_215 ),
inference(resolution,[],[f4266,f3015]) ).
fof(f10292,plain,
( spl5_450
| ~ spl5_264
| ~ spl5_449 ),
inference(avatar_split_clause,[],[f10287,f10283,f5246,f10289]) ).
fof(f10289,plain,
( spl5_450
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_450])]) ).
fof(f10283,plain,
( spl5_449
<=> sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_449])]) ).
fof(f10287,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_264
| ~ spl5_449 ),
inference(forward_demodulation,[],[f10285,f5248]) ).
fof(f10285,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_449 ),
inference(avatar_component_clause,[],[f10283]) ).
fof(f10286,plain,
( spl5_449
| ~ spl5_159
| ~ spl5_160
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4384,f4265,f2012,f1941,f10283]) ).
fof(f4384,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_159
| ~ spl5_160
| ~ spl5_215 ),
inference(forward_demodulation,[],[f4345,f4344]) ).
fof(f4345,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_160
| ~ spl5_215 ),
inference(resolution,[],[f4266,f2013]) ).
fof(f9861,plain,
( spl5_448
| ~ spl5_61
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f4781,f4690,f533,f9858]) ).
fof(f9858,plain,
( spl5_448
<=> sdtasdt0(xC,xD) = smndt0(smndt0(sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_448])]) ).
fof(f9684,plain,
( spl5_447
| ~ spl5_58
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f4778,f4690,f521,f9681]) ).
fof(f9681,plain,
( spl5_447
<=> sdtasdt0(xC,xD) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_447])]) ).
fof(f9579,plain,
( spl5_446
| ~ spl5_57
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f4777,f4690,f517,f9576]) ).
fof(f9576,plain,
( spl5_446
<=> sdtasdt0(xC,xD) = sdtpldt0(sdtasdt0(xC,xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_446])]) ).
fof(f4777,plain,
( sdtasdt0(xC,xD) = sdtpldt0(sdtasdt0(xC,xD),sz0z00)
| ~ spl5_57
| ~ spl5_238 ),
inference(resolution,[],[f4692,f518]) ).
fof(f9563,plain,
( spl5_445
| ~ spl5_159
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4490,f4269,f1941,f9560]) ).
fof(f9560,plain,
( spl5_445
<=> sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_445])]) ).
fof(f9557,plain,
( spl5_444
| ~ spl5_158
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4489,f4269,f1937,f9554]) ).
fof(f9554,plain,
( spl5_444
<=> sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_444])]) ).
fof(f9552,plain,
( spl5_443
| ~ spl5_153
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4488,f4269,f1448,f9549]) ).
fof(f9549,plain,
( spl5_443
<=> sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(xN,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_443])]) ).
fof(f9547,plain,
( spl5_442
| ~ spl5_152
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4487,f4269,f1444,f9544]) ).
fof(f9544,plain,
( spl5_442
<=> sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(xS,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_442])]) ).
fof(f9542,plain,
( spl5_441
| ~ spl5_151
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4486,f4269,f1440,f9539]) ).
fof(f9539,plain,
( spl5_441
<=> sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(xP,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_441])]) ).
fof(f9537,plain,
( spl5_440
| ~ spl5_150
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4485,f4269,f1436,f9534]) ).
fof(f9534,plain,
( spl5_440
<=> sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(xR,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_440])]) ).
fof(f9532,plain,
( spl5_439
| ~ spl5_149
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4484,f4269,f1432,f9529]) ).
fof(f9529,plain,
( spl5_439
<=> sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(xH,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_439])]) ).
fof(f9527,plain,
( spl5_438
| ~ spl5_148
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4483,f4269,f1428,f9524]) ).
fof(f9524,plain,
( spl5_438
<=> sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(xG,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_438])]) ).
fof(f9522,plain,
( spl5_437
| ~ spl5_147
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4482,f4269,f1424,f9519]) ).
fof(f9519,plain,
( spl5_437
<=> sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(xF,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_437])]) ).
fof(f9517,plain,
( spl5_436
| ~ spl5_61
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4734,f4609,f533,f9514]) ).
fof(f9514,plain,
( spl5_436
<=> sdtasdt0(xE,xE) = smndt0(smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_436])]) ).
fof(f9512,plain,
( spl5_435
| ~ spl5_146
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4481,f4269,f1420,f9509]) ).
fof(f9509,plain,
( spl5_435
<=> sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(xE,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_435])]) ).
fof(f9507,plain,
( spl5_434
| ~ spl5_145
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4480,f4269,f1416,f9504]) ).
fof(f9504,plain,
( spl5_434
<=> sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(xD,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_434])]) ).
fof(f9502,plain,
( spl5_433
| ~ spl5_143
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4479,f4269,f1407,f9499]) ).
fof(f9499,plain,
( spl5_433
<=> sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(xC,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_433])]) ).
fof(f9497,plain,
( spl5_432
| ~ spl5_142
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4478,f4269,f1403,f9494]) ).
fof(f9494,plain,
( spl5_432
<=> sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(xB,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_432])]) ).
fof(f9492,plain,
( spl5_431
| ~ spl5_141
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4477,f4269,f1399,f9489]) ).
fof(f9489,plain,
( spl5_431
<=> sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(xA,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_431])]) ).
fof(f9487,plain,
( spl5_430
| ~ spl5_140
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4476,f4269,f1395,f9484]) ).
fof(f9484,plain,
( spl5_430
<=> sdtpldt0(sdtasdt0(xC,xD),xN) = sdtpldt0(xN,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_430])]) ).
fof(f9482,plain,
( spl5_429
| ~ spl5_139
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4475,f4269,f1391,f9479]) ).
fof(f9479,plain,
( spl5_429
<=> sdtpldt0(sdtasdt0(xC,xD),xS) = sdtpldt0(xS,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_429])]) ).
fof(f9477,plain,
( spl5_428
| ~ spl5_138
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4474,f4269,f1387,f9474]) ).
fof(f9474,plain,
( spl5_428
<=> sdtpldt0(sdtasdt0(xC,xD),xP) = sdtpldt0(xP,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_428])]) ).
fof(f9472,plain,
( spl5_427
| ~ spl5_137
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4473,f4269,f1383,f9469]) ).
fof(f9469,plain,
( spl5_427
<=> sdtpldt0(sdtasdt0(xC,xD),xR) = sdtpldt0(xR,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_427])]) ).
fof(f9467,plain,
( spl5_426
| ~ spl5_136
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4472,f4269,f1379,f9464]) ).
fof(f9464,plain,
( spl5_426
<=> sdtpldt0(sdtasdt0(xC,xD),xH) = sdtpldt0(xH,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_426])]) ).
fof(f9462,plain,
( spl5_425
| ~ spl5_58
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4731,f4609,f521,f9459]) ).
fof(f9459,plain,
( spl5_425
<=> sdtasdt0(xE,xE) = sdtpldt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_425])]) ).
fof(f9457,plain,
( spl5_424
| ~ spl5_135
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4471,f4269,f1375,f9454]) ).
fof(f9454,plain,
( spl5_424
<=> sdtpldt0(sdtasdt0(xC,xD),xG) = sdtpldt0(xG,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_424])]) ).
fof(f9452,plain,
( spl5_423
| ~ spl5_134
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4470,f4269,f1371,f9449]) ).
fof(f9449,plain,
( spl5_423
<=> sdtpldt0(sdtasdt0(xC,xD),xF) = sdtpldt0(xF,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_423])]) ).
fof(f9447,plain,
( spl5_422
| ~ spl5_132
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4469,f4269,f1362,f9444]) ).
fof(f9444,plain,
( spl5_422
<=> sdtpldt0(sdtasdt0(xC,xD),xE) = sdtpldt0(xE,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_422])]) ).
fof(f9442,plain,
( spl5_421
| ~ spl5_131
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4468,f4269,f1358,f9439]) ).
fof(f9439,plain,
( spl5_421
<=> sdtpldt0(sdtasdt0(xC,xD),xD) = sdtpldt0(xD,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_421])]) ).
fof(f9437,plain,
( spl5_420
| ~ spl5_130
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4467,f4269,f1354,f9434]) ).
fof(f9434,plain,
( spl5_420
<=> sdtpldt0(sdtasdt0(xC,xD),xC) = sdtpldt0(xC,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_420])]) ).
fof(f9432,plain,
( spl5_419
| ~ spl5_129
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4466,f4269,f1350,f9429]) ).
fof(f9429,plain,
( spl5_419
<=> sdtpldt0(sdtasdt0(xC,xD),xB) = sdtpldt0(xB,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_419])]) ).
fof(f9427,plain,
( spl5_418
| ~ spl5_128
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4465,f4269,f1346,f9424]) ).
fof(f9424,plain,
( spl5_418
<=> sdtpldt0(sdtasdt0(xC,xD),xA) = sdtpldt0(xA,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_418])]) ).
fof(f9421,plain,
( spl5_417
| ~ spl5_159
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4344,f4265,f1941,f9418]) ).
fof(f9418,plain,
( spl5_417
<=> sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_417])]) ).
fof(f9415,plain,
( spl5_416
| ~ spl5_158
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4343,f4265,f1937,f9412]) ).
fof(f9412,plain,
( spl5_416
<=> sdtpldt0(sdtasdt0(xE,xE),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_416])]) ).
fof(f9410,plain,
( spl5_415
| ~ spl5_153
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4342,f4265,f1448,f9407]) ).
fof(f9407,plain,
( spl5_415
<=> sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(xN,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_415])]) ).
fof(f9405,plain,
( spl5_414
| ~ spl5_57
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4730,f4609,f517,f9402]) ).
fof(f9402,plain,
( spl5_414
<=> sdtasdt0(xE,xE) = sdtpldt0(sdtasdt0(xE,xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_414])]) ).
fof(f4730,plain,
( sdtasdt0(xE,xE) = sdtpldt0(sdtasdt0(xE,xE),sz0z00)
| ~ spl5_57
| ~ spl5_232 ),
inference(resolution,[],[f4611,f518]) ).
fof(f9400,plain,
( spl5_413
| ~ spl5_152
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4341,f4265,f1444,f9397]) ).
fof(f9397,plain,
( spl5_413
<=> sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(xS,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_413])]) ).
fof(f9395,plain,
( spl5_412
| ~ spl5_151
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4340,f4265,f1440,f9392]) ).
fof(f9392,plain,
( spl5_412
<=> sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_412])]) ).
fof(f9390,plain,
( spl5_411
| ~ spl5_150
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4339,f4265,f1436,f9387]) ).
fof(f9387,plain,
( spl5_411
<=> sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(xR,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_411])]) ).
fof(f9385,plain,
( spl5_410
| ~ spl5_149
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4338,f4265,f1432,f9382]) ).
fof(f9382,plain,
( spl5_410
<=> sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_410])]) ).
fof(f9380,plain,
( spl5_409
| ~ spl5_148
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4337,f4265,f1428,f9377]) ).
fof(f9377,plain,
( spl5_409
<=> sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(xG,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_409])]) ).
fof(f9375,plain,
( spl5_408
| ~ spl5_147
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4336,f4265,f1424,f9372]) ).
fof(f9372,plain,
( spl5_408
<=> sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(xF,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_408])]) ).
fof(f9370,plain,
( spl5_407
| ~ spl5_146
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4335,f4265,f1420,f9367]) ).
fof(f9367,plain,
( spl5_407
<=> sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_407])]) ).
fof(f9365,plain,
( spl5_406
| ~ spl5_145
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4334,f4265,f1416,f9362]) ).
fof(f9362,plain,
( spl5_406
<=> sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(xD,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_406])]) ).
fof(f9360,plain,
( spl5_405
| ~ spl5_143
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4333,f4265,f1407,f9357]) ).
fof(f9357,plain,
( spl5_405
<=> sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(xC,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_405])]) ).
fof(f9355,plain,
( spl5_404
| ~ spl5_142
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4332,f4265,f1403,f9352]) ).
fof(f9352,plain,
( spl5_404
<=> sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(xB,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_404])]) ).
fof(f9328,plain,
( spl5_403
| ~ spl5_141
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4331,f4265,f1399,f9325]) ).
fof(f9325,plain,
( spl5_403
<=> sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(xA,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_403])]) ).
fof(f9323,plain,
( spl5_402
| ~ spl5_140
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4330,f4265,f1395,f9320]) ).
fof(f9320,plain,
( spl5_402
<=> sdtpldt0(sdtasdt0(xE,xE),xN) = sdtpldt0(xN,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_402])]) ).
fof(f9318,plain,
( spl5_401
| ~ spl5_139
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4329,f4265,f1391,f9315]) ).
fof(f9315,plain,
( spl5_401
<=> sdtpldt0(sdtasdt0(xE,xE),xS) = sdtpldt0(xS,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_401])]) ).
fof(f9313,plain,
( spl5_400
| ~ spl5_138
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4328,f4265,f1387,f9310]) ).
fof(f9310,plain,
( spl5_400
<=> sdtpldt0(sdtasdt0(xE,xE),xP) = sdtpldt0(xP,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_400])]) ).
fof(f9308,plain,
( spl5_399
| ~ spl5_137
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4327,f4265,f1383,f9305]) ).
fof(f9305,plain,
( spl5_399
<=> sdtpldt0(sdtasdt0(xE,xE),xR) = sdtpldt0(xR,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_399])]) ).
fof(f9303,plain,
( spl5_398
| ~ spl5_136
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4326,f4265,f1379,f9300]) ).
fof(f9300,plain,
( spl5_398
<=> sdtpldt0(sdtasdt0(xE,xE),xH) = sdtpldt0(xH,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_398])]) ).
fof(f9298,plain,
( spl5_397
| ~ spl5_135
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4325,f4265,f1375,f9295]) ).
fof(f9295,plain,
( spl5_397
<=> sdtpldt0(sdtasdt0(xE,xE),xG) = sdtpldt0(xG,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_397])]) ).
fof(f9293,plain,
( spl5_396
| ~ spl5_134
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4324,f4265,f1371,f9290]) ).
fof(f9290,plain,
( spl5_396
<=> sdtpldt0(sdtasdt0(xE,xE),xF) = sdtpldt0(xF,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_396])]) ).
fof(f9288,plain,
( spl5_395
| ~ spl5_132
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4323,f4265,f1362,f9285]) ).
fof(f9285,plain,
( spl5_395
<=> sdtpldt0(sdtasdt0(xE,xE),xE) = sdtpldt0(xE,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_395])]) ).
fof(f9283,plain,
( spl5_394
| ~ spl5_131
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4322,f4265,f1358,f9280]) ).
fof(f9280,plain,
( spl5_394
<=> sdtpldt0(sdtasdt0(xE,xE),xD) = sdtpldt0(xD,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_394])]) ).
fof(f9256,plain,
( spl5_393
| ~ spl5_130
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4321,f4265,f1354,f9253]) ).
fof(f9253,plain,
( spl5_393
<=> sdtpldt0(sdtasdt0(xE,xE),xC) = sdtpldt0(xC,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_393])]) ).
fof(f9251,plain,
( spl5_392
| ~ spl5_129
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4320,f4265,f1350,f9248]) ).
fof(f9248,plain,
( spl5_392
<=> sdtpldt0(sdtasdt0(xE,xE),xB) = sdtpldt0(xB,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_392])]) ).
fof(f9246,plain,
( spl5_391
| ~ spl5_128
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4319,f4265,f1346,f9243]) ).
fof(f9243,plain,
( spl5_391
<=> sdtpldt0(sdtasdt0(xE,xE),xA) = sdtpldt0(xA,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_391])]) ).
fof(f9234,plain,
( spl5_390
| ~ spl5_22
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f7250,f4273,f335,f9231]) ).
fof(f7250,plain,
( sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_22
| ~ spl5_217 ),
inference(resolution,[],[f4274,f336]) ).
fof(f9120,plain,
( spl5_389
| ~ spl5_67
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1071,f1064,f562,f9118]) ).
fof(f9118,plain,
( spl5_389
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtlbdtrb0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_389])]) ).
fof(f562,plain,
( spl5_67
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f1064,plain,
( spl5_104
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtlbdtrb0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl5_67
| ~ spl5_104 ),
inference(resolution,[],[f1065,f563]) ).
fof(f563,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl5_67 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1065,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_104 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f9098,plain,
( spl5_388
| ~ spl5_69
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1069,f1064,f570,f9096]) ).
fof(f9096,plain,
( spl5_388
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasdt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_388])]) ).
fof(f570,plain,
( spl5_69
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f1069,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasdt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl5_69
| ~ spl5_104 ),
inference(resolution,[],[f1065,f571]) ).
fof(f571,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_69 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f9094,plain,
( spl5_387
| ~ spl5_68
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1068,f1064,f566,f9092]) ).
fof(f9092,plain,
( spl5_387
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtpldt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_387])]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtpldt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl5_68
| ~ spl5_104 ),
inference(resolution,[],[f1065,f567]) ).
fof(f9090,plain,
( spl5_386
| ~ spl5_83
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1029,f1025,f662,f9088]) ).
fof(f9088,plain,
( spl5_386
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtasdt0(X3,X1) = sdtasdt0(X2,X0)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_386])]) ).
fof(f1029,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtasdt0(X3,X1) = sdtasdt0(X2,X0)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1)) )
| ~ spl5_83
| ~ spl5_102 ),
inference(resolution,[],[f1026,f663]) ).
fof(f9044,plain,
( spl5_385
| ~ spl5_92
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1028,f1025,f862,f9042]) ).
fof(f9042,plain,
( spl5_385
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_385])]) ).
fof(f862,plain,
( spl5_92
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl5_92
| ~ spl5_102 ),
inference(resolution,[],[f1026,f863]) ).
fof(f863,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_92 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f9028,plain,
( spl5_384
| ~ spl5_83
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1018,f1013,f662,f9026]) ).
fof(f9026,plain,
( spl5_384
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtpldt0(X3,X1) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_384])]) ).
fof(f1018,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtpldt0(X3,X1) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1)) )
| ~ spl5_83
| ~ spl5_100 ),
inference(resolution,[],[f1014,f663]) ).
fof(f8987,plain,
( spl5_383
| ~ spl5_40
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1070,f1064,f435,f8985]) ).
fof(f8985,plain,
( spl5_383
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(X3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_383])]) ).
fof(f435,plain,
( spl5_40
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1070,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(X3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3) )
| ~ spl5_40
| ~ spl5_104 ),
inference(resolution,[],[f1065,f436]) ).
fof(f436,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f8967,plain,
( spl5_382
| ~ spl5_92
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1017,f1013,f862,f8965]) ).
fof(f8965,plain,
( spl5_382
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtpldt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_382])]) ).
fof(f1017,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtpldt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl5_92
| ~ spl5_100 ),
inference(resolution,[],[f1014,f863]) ).
fof(f8918,plain,
( spl5_381
| ~ spl5_18
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1067,f1064,f315,f8916]) ).
fof(f8916,plain,
( spl5_381
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_381])]) ).
fof(f1067,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_104 ),
inference(resolution,[],[f1065,f317]) ).
fof(f8672,plain,
( spl5_380
| ~ spl5_60
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f8231,f8000,f529,f8669]) ).
fof(f8669,plain,
( spl5_380
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_380])]) ).
fof(f8231,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,xH))
| ~ spl5_60
| ~ spl5_342 ),
inference(resolution,[],[f8002,f530]) ).
fof(f8495,plain,
( spl5_379
| ~ spl5_5
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1083,f1064,f250,f8493]) ).
fof(f8493,plain,
( spl5_379
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xN)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xN)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_379])]) ).
fof(f1083,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xN)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xN)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_104 ),
inference(resolution,[],[f1065,f252]) ).
fof(f8491,plain,
( spl5_378
| ~ spl5_10
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1082,f1064,f275,f8489]) ).
fof(f8489,plain,
( spl5_378
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xS)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xS)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_378])]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xS)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xS)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_104 ),
inference(resolution,[],[f1065,f277]) ).
fof(f8487,plain,
( spl5_377
| ~ spl5_14
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1081,f1064,f295,f8485]) ).
fof(f8485,plain,
( spl5_377
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xP)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xP)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_377])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xP)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xP)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_104 ),
inference(resolution,[],[f1065,f297]) ).
fof(f8483,plain,
( spl5_376
| ~ spl5_11
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1080,f1064,f280,f8481]) ).
fof(f8481,plain,
( spl5_376
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xR)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xR)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_376])]) ).
fof(f1080,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xR)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xR)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_104 ),
inference(resolution,[],[f1065,f282]) ).
fof(f8479,plain,
( spl5_375
| ~ spl5_16
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1079,f1064,f305,f8477]) ).
fof(f8477,plain,
( spl5_375
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xH)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_375])]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xH)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_104 ),
inference(resolution,[],[f1065,f307]) ).
fof(f8475,plain,
( spl5_374
| ~ spl5_59
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f8230,f8000,f525,f8472]) ).
fof(f8472,plain,
( spl5_374
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_374])]) ).
fof(f8230,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,xH),sz0z00)
| ~ spl5_59
| ~ spl5_342 ),
inference(resolution,[],[f8002,f526]) ).
fof(f8470,plain,
( spl5_373
| ~ spl5_6
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1078,f1064,f255,f8468]) ).
fof(f8468,plain,
( spl5_373
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xG)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xG)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_373])]) ).
fof(f1078,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xG)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xG)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_104 ),
inference(resolution,[],[f1065,f257]) ).
fof(f8466,plain,
( spl5_372
| ~ spl5_7
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1077,f1064,f260,f8464]) ).
fof(f8464,plain,
( spl5_372
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xF)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xF)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_372])]) ).
fof(f1077,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xF)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xF)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_104 ),
inference(resolution,[],[f1065,f262]) ).
fof(f8462,plain,
( spl5_371
| ~ spl5_15
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1076,f1064,f300,f8460]) ).
fof(f8460,plain,
( spl5_371
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xE)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xE)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_371])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xE)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xE)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_104 ),
inference(resolution,[],[f1065,f302]) ).
fof(f8458,plain,
( spl5_370
| ~ spl5_9
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1075,f1064,f270,f8456]) ).
fof(f8456,plain,
( spl5_370
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xD)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xD)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_370])]) ).
fof(f1075,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xD)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xD)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_104 ),
inference(resolution,[],[f1065,f272]) ).
fof(f8454,plain,
( spl5_369
| ~ spl5_8
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1074,f1064,f265,f8452]) ).
fof(f8452,plain,
( spl5_369
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xC)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xC)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_369])]) ).
fof(f1074,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xC)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xC)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_104 ),
inference(resolution,[],[f1065,f267]) ).
fof(f8450,plain,
( spl5_368
| ~ spl5_12
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1073,f1064,f285,f8448]) ).
fof(f8448,plain,
( spl5_368
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xB)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xB)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_368])]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xB)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xB)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_104 ),
inference(resolution,[],[f1065,f287]) ).
fof(f8446,plain,
( spl5_367
| ~ spl5_13
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1072,f1064,f290,f8444]) ).
fof(f8444,plain,
( spl5_367
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xA)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xA)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_367])]) ).
fof(f1072,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xA)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xA)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_104 ),
inference(resolution,[],[f1065,f292]) ).
fof(f8439,plain,
( ~ spl5_3
| spl5_366
| ~ spl5_23
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1060,f1056,f352,f8437,f240]) ).
fof(f240,plain,
( spl5_3
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f8437,plain,
( spl5_366
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,xs),sdtasasdt0(X0,xs)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(xs,xs))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_366])]) ).
fof(f1056,plain,
( spl5_103
<=> ! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
fof(f1060,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,xs),sdtasasdt0(X0,xs)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(xs,xs)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_103 ),
inference(superposition,[],[f1057,f354]) ).
fof(f1057,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_103 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f8435,plain,
( spl5_365
| ~ spl5_60
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f8106,f7903,f529,f8432]) ).
fof(f8432,plain,
( spl5_365
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_365])]) ).
fof(f8106,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_60
| ~ spl5_336 ),
inference(resolution,[],[f7905,f530]) ).
fof(f8430,plain,
( ~ spl5_3
| ~ spl5_363
| spl5_364
| ~ spl5_23
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1059,f1056,f352,f8428,f8424,f240]) ).
fof(f8424,plain,
( spl5_363
<=> iLess0(aDimensionOf0(xt),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_363])]) ).
fof(f8428,plain,
( spl5_364
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,X0),sdtasasdt0(xs,X0)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_364])]) ).
fof(f1059,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,X0),sdtasasdt0(xs,X0)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(xt),aDimensionOf0(xt))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_103 ),
inference(superposition,[],[f1057,f354]) ).
fof(f8411,plain,
( ~ spl5_3
| spl5_107
| spl5_362
| ~ spl5_21
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1095,f1085,f460,f352,f330,f8409,f1175,f240]) ).
fof(f1175,plain,
( spl5_107
<=> sz00 = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f8409,plain,
( spl5_362
<=> ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_362])]) ).
fof(f330,plain,
( spl5_21
<=> xp = sziznziztdt0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f460,plain,
( spl5_45
<=> xA = sdtlbdtrb0(xs,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f1085,plain,
( spl5_105
<=> ! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
fof(f1095,plain,
( ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1094,f332]) ).
fof(f332,plain,
( xp = sziznziztdt0(xs)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1094,plain,
( ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1089,f462]) ).
fof(f462,plain,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xt))
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f1089,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,aDimensionOf0(xt))))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_105 ),
inference(superposition,[],[f1086,f354]) ).
fof(f1086,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_105 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f8396,plain,
( ~ spl5_3
| spl5_361
| ~ spl5_21
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1093,f1085,f460,f352,f330,f8394,f240]) ).
fof(f8394,plain,
( spl5_361
<=> ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_361])]) ).
fof(f1093,plain,
( ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1092,f332]) ).
fof(f1092,plain,
( ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1088,f462]) ).
fof(f1088,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_105 ),
inference(superposition,[],[f1086,f354]) ).
fof(f8341,plain,
( spl5_360
| ~ spl5_67
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f972,f948,f562,f8339]) ).
fof(f8339,plain,
( spl5_360
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_360])]) ).
fof(f972,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_67
| ~ spl5_97 ),
inference(resolution,[],[f949,f563]) ).
fof(f8337,plain,
( spl5_359
| ~ spl5_69
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f970,f948,f570,f8335]) ).
fof(f8335,plain,
( spl5_359
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_359])]) ).
fof(f970,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_69
| ~ spl5_97 ),
inference(resolution,[],[f949,f571]) ).
fof(f8333,plain,
( spl5_358
| ~ spl5_59
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f8105,f7903,f525,f8330]) ).
fof(f8330,plain,
( spl5_358
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_358])]) ).
fof(f8105,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_59
| ~ spl5_336 ),
inference(resolution,[],[f7905,f526]) ).
fof(f8328,plain,
( spl5_357
| ~ spl5_68
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f969,f948,f566,f8326]) ).
fof(f8326,plain,
( spl5_357
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_357])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_97 ),
inference(resolution,[],[f949,f567]) ).
fof(f8315,plain,
( ~ spl5_18
| spl5_356
| ~ spl5_90
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f883,f862,f854,f8313,f315]) ).
fof(f8313,plain,
( spl5_356
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_356])]) ).
fof(f854,plain,
( spl5_90
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f883,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_90
| ~ spl5_92 ),
inference(resolution,[],[f863,f855]) ).
fof(f855,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f8284,plain,
( ~ spl5_18
| spl5_355
| ~ spl5_91
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f882,f862,f858,f8282,f315]) ).
fof(f8282,plain,
( spl5_355
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_355])]) ).
fof(f858,plain,
( spl5_91
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_91
| ~ spl5_92 ),
inference(resolution,[],[f863,f859]) ).
fof(f859,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f8263,plain,
( ~ spl5_18
| spl5_354
| ~ spl5_83
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f867,f858,f662,f8261,f315]) ).
fof(f8261,plain,
( spl5_354
<=> ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_354])]) ).
fof(f867,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) )
| ~ spl5_83
| ~ spl5_91 ),
inference(resolution,[],[f859,f663]) ).
fof(f8255,plain,
( ~ spl5_18
| spl5_353
| ~ spl5_83
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f866,f854,f662,f8253,f315]) ).
fof(f8253,plain,
( spl5_353
<=> ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X1,X0))
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_353])]) ).
fof(f866,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) )
| ~ spl5_83
| ~ spl5_90 ),
inference(resolution,[],[f855,f663]) ).
fof(f8176,plain,
( spl5_352
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1091,f1085,f8174]) ).
fof(f8174,plain,
( spl5_352
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_352])]) ).
fof(f1091,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0) )
| ~ spl5_105 ),
inference(duplicate_literal_removal,[],[f1090]) ).
fof(f1090,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_105 ),
inference(equality_resolution,[],[f1086]) ).
fof(f8172,plain,
( spl5_351
| ~ spl5_67
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f955,f944,f562,f8170]) ).
fof(f8170,plain,
( spl5_351
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_351])]) ).
fof(f955,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_67
| ~ spl5_96 ),
inference(resolution,[],[f945,f563]) ).
fof(f8168,plain,
( spl5_350
| ~ spl5_69
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f953,f944,f570,f8166]) ).
fof(f8166,plain,
( spl5_350
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_350])]) ).
fof(f953,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_69
| ~ spl5_96 ),
inference(resolution,[],[f945,f571]) ).
fof(f8164,plain,
( spl5_349
| ~ spl5_68
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f952,f944,f566,f8162]) ).
fof(f8162,plain,
( spl5_349
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_349])]) ).
fof(f952,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_96 ),
inference(resolution,[],[f945,f567]) ).
fof(f8051,plain,
( spl5_348
| ~ spl5_67
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f929,f901,f562,f8049]) ).
fof(f8049,plain,
( spl5_348
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_348])]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_67
| ~ spl5_94 ),
inference(resolution,[],[f902,f563]) ).
fof(f8047,plain,
( spl5_347
| ~ spl5_69
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f927,f901,f570,f8045]) ).
fof(f927,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_69
| ~ spl5_94 ),
inference(resolution,[],[f902,f571]) ).
fof(f8043,plain,
( spl5_346
| ~ spl5_68
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f926,f901,f566,f8041]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_94 ),
inference(resolution,[],[f902,f567]) ).
fof(f8039,plain,
( spl5_345
| ~ spl5_67
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f912,f897,f562,f8037]) ).
fof(f8037,plain,
( spl5_345
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_345])]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_67
| ~ spl5_93 ),
inference(resolution,[],[f898,f563]) ).
fof(f8035,plain,
( spl5_344
| ~ spl5_69
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f910,f897,f570,f8033]) ).
fof(f910,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_69
| ~ spl5_93 ),
inference(resolution,[],[f898,f571]) ).
fof(f8031,plain,
( spl5_343
| ~ spl5_68
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f909,f897,f566,f8029]) ).
fof(f909,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_93 ),
inference(resolution,[],[f898,f567]) ).
fof(f8003,plain,
( spl5_342
| ~ spl5_22
| ~ spl5_299 ),
inference(avatar_split_clause,[],[f7575,f6514,f335,f8000]) ).
fof(f7575,plain,
( sP2(sdtasdt0(xH,xH))
| ~ spl5_22
| ~ spl5_299 ),
inference(resolution,[],[f6515,f336]) ).
fof(f6515,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl5_299 ),
inference(avatar_component_clause,[],[f6514]) ).
fof(f7998,plain,
( spl5_341
| ~ spl5_40
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f971,f948,f435,f7996]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_40
| ~ spl5_97 ),
inference(resolution,[],[f949,f436]) ).
fof(f7986,plain,
( spl5_340
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1062,f1056,f7984]) ).
fof(f7984,plain,
( spl5_340
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_340])]) ).
fof(f1062,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0) )
| ~ spl5_103 ),
inference(duplicate_literal_removal,[],[f1061]) ).
fof(f1061,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_103 ),
inference(equality_resolution,[],[f1057]) ).
fof(f7966,plain,
( ~ spl5_7
| ~ spl5_9
| spl5_339
| ~ spl5_30
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1042,f1025,f387,f7964,f270,f260]) ).
fof(f7964,plain,
( spl5_339
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_339])]) ).
fof(f1042,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(xF)
| ~ aScalar0(X0) )
| ~ spl5_30
| ~ spl5_102 ),
inference(superposition,[],[f1026,f389]) ).
fof(f7946,plain,
( ~ spl5_15
| ~ spl5_16
| spl5_338
| ~ spl5_32
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1041,f1025,f397,f7944,f305,f300]) ).
fof(f7944,plain,
( spl5_338
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xE)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_338])]) ).
fof(f1041,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xE)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(xE)
| ~ aScalar0(X0) )
| ~ spl5_32
| ~ spl5_102 ),
inference(superposition,[],[f1026,f399]) ).
fof(f7926,plain,
( ~ spl5_8
| ~ spl5_6
| spl5_337
| ~ spl5_31
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1040,f1025,f392,f7924,f255,f265]) ).
fof(f7924,plain,
( spl5_337
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xC)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_337])]) ).
fof(f1040,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(xC)
| ~ aScalar0(X0) )
| ~ spl5_31
| ~ spl5_102 ),
inference(superposition,[],[f1026,f394]) ).
fof(f7906,plain,
( spl5_336
| ~ spl5_22
| ~ spl5_298 ),
inference(avatar_split_clause,[],[f6815,f6510,f335,f7903]) ).
fof(f6815,plain,
( sP2(sdtpldt0(xP,xP))
| ~ spl5_22
| ~ spl5_298 ),
inference(resolution,[],[f6511,f336]) ).
fof(f6511,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl5_298 ),
inference(avatar_component_clause,[],[f6510]) ).
fof(f7901,plain,
( ~ spl5_13
| ~ spl5_12
| spl5_335
| ~ spl5_34
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1038,f1025,f407,f7899,f285,f290]) ).
fof(f7899,plain,
( spl5_335
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_335])]) ).
fof(f1038,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(xA)
| ~ aScalar0(X0) )
| ~ spl5_34
| ~ spl5_102 ),
inference(superposition,[],[f1026,f409]) ).
fof(f7879,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_114
| spl5_334
| ~ spl5_30
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1035,f1025,f387,f7877,f1211,f270,f260]) ).
fof(f1211,plain,
( spl5_114
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f7877,plain,
( spl5_334
<=> ! [X0,X1] :
( sdtlseqdt0(xS,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xF,X0)
| ~ sdtlseqdt0(xD,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_334])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( sdtlseqdt0(xS,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF) )
| ~ spl5_30
| ~ spl5_102 ),
inference(superposition,[],[f1026,f389]) ).
fof(f7857,plain,
( ~ spl5_8
| ~ spl5_6
| ~ spl5_116
| spl5_333
| ~ spl5_31
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1033,f1025,f392,f7855,f1225,f255,f265]) ).
fof(f1225,plain,
( spl5_116
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f7855,plain,
( spl5_333
<=> ! [X0,X1] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xC,X0)
| ~ sdtlseqdt0(xG,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_333])]) ).
fof(f1033,plain,
( ! [X0,X1] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xC,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ aScalar0(xC) )
| ~ spl5_31
| ~ spl5_102 ),
inference(superposition,[],[f1026,f394]) ).
fof(f7848,plain,
( ~ spl5_216
| ~ spl5_215
| ~ spl5_331
| spl5_332
| ~ spl5_53
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f845,f662,f499,f7845,f7841,f4265,f4269]) ).
fof(f7841,plain,
( spl5_331
<=> sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_331])]) ).
fof(f7845,plain,
( spl5_332
<=> sdtasdt0(xE,xE) = sdtasdt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_332])]) ).
fof(f499,plain,
( spl5_53
<=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f845,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_53
| ~ spl5_83 ),
inference(resolution,[],[f663,f501]) ).
fof(f501,plain,
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f7815,plain,
( spl5_330
| ~ spl5_40
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f954,f944,f435,f7813]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_40
| ~ spl5_96 ),
inference(resolution,[],[f945,f436]) ).
fof(f7558,plain,
( ~ spl5_13
| spl5_329
| ~ spl5_27
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1045,f1025,f372,f7556,f290]) ).
fof(f7556,plain,
( spl5_329
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_329])]) ).
fof(f372,plain,
( spl5_27
<=> xF = sdtasdt0(xA,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_27
| ~ spl5_102 ),
inference(duplicate_literal_removal,[],[f1037]) ).
fof(f1037,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(xA)
| ~ aScalar0(X0) )
| ~ spl5_27
| ~ spl5_102 ),
inference(superposition,[],[f1026,f374]) ).
fof(f374,plain,
( xF = sdtasdt0(xA,xA)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f7538,plain,
( ~ spl5_12
| spl5_328
| ~ spl5_26
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1044,f1025,f367,f7536,f285]) ).
fof(f7536,plain,
( spl5_328
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_328])]) ).
fof(f367,plain,
( spl5_26
<=> xG = sdtasdt0(xB,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_26
| ~ spl5_102 ),
inference(duplicate_literal_removal,[],[f1039]) ).
fof(f1039,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(xB)
| ~ aScalar0(X0) )
| ~ spl5_26
| ~ spl5_102 ),
inference(superposition,[],[f1026,f369]) ).
fof(f369,plain,
( xG = sdtasdt0(xB,xB)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f7521,plain,
( ~ spl5_215
| ~ spl5_216
| spl5_327
| ~ spl5_53
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f885,f862,f499,f7519,f4269,f4265]) ).
fof(f7519,plain,
( spl5_327
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_327])]) ).
fof(f885,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_53
| ~ spl5_92 ),
inference(resolution,[],[f863,f501]) ).
fof(f7516,plain,
( ~ spl5_298
| ~ spl5_325
| spl5_326
| ~ spl5_52
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f884,f862,f494,f7514,f7510,f6510]) ).
fof(f7514,plain,
( spl5_326
<=> ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_326])]) ).
fof(f884,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0) )
| ~ spl5_52
| ~ spl5_92 ),
inference(resolution,[],[f863,f496]) ).
fof(f7249,plain,
( ~ spl5_16
| ~ spl5_69
| spl5_299 ),
inference(avatar_split_clause,[],[f7085,f6514,f570,f305]) ).
fof(f7085,plain,
( ~ aScalar0(xH)
| ~ spl5_69
| spl5_299 ),
inference(duplicate_literal_removal,[],[f7084]) ).
fof(f7084,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ spl5_69
| spl5_299 ),
inference(resolution,[],[f6516,f571]) ).
fof(f6516,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl5_299 ),
inference(avatar_component_clause,[],[f6514]) ).
fof(f7083,plain,
( spl5_324
| ~ spl5_40
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f928,f901,f435,f7081]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_40
| ~ spl5_94 ),
inference(resolution,[],[f902,f436]) ).
fof(f7079,plain,
( spl5_323
| ~ spl5_40
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f911,f897,f435,f7077]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_40
| ~ spl5_93 ),
inference(resolution,[],[f898,f436]) ).
fof(f7075,plain,
( spl5_322
| ~ spl5_67
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f826,f658,f562,f7073]) ).
fof(f7073,plain,
( spl5_322
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_322])]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_67
| ~ spl5_82 ),
inference(resolution,[],[f659,f563]) ).
fof(f7071,plain,
( spl5_321
| ~ spl5_69
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f824,f658,f570,f7069]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_69
| ~ spl5_82 ),
inference(resolution,[],[f659,f571]) ).
fof(f7067,plain,
( spl5_320
| ~ spl5_68
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f823,f658,f566,f7065]) ).
fof(f823,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_82 ),
inference(resolution,[],[f659,f567]) ).
fof(f7063,plain,
( spl5_319
| ~ spl5_67
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f803,f654,f562,f7061]) ).
fof(f7061,plain,
( spl5_319
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_319])]) ).
fof(f803,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_67
| ~ spl5_81 ),
inference(resolution,[],[f655,f563]) ).
fof(f7059,plain,
( spl5_318
| ~ spl5_69
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f801,f654,f570,f7057]) ).
fof(f801,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_69
| ~ spl5_81 ),
inference(resolution,[],[f655,f571]) ).
fof(f7055,plain,
( spl5_317
| ~ spl5_68
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f800,f654,f566,f7053]) ).
fof(f800,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_81 ),
inference(resolution,[],[f655,f567]) ).
fof(f7051,plain,
( spl5_316
| ~ spl5_67
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f785,f650,f562,f7049]) ).
fof(f7049,plain,
( spl5_316
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_316])]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_67
| ~ spl5_80 ),
inference(resolution,[],[f651,f563]) ).
fof(f7047,plain,
( spl5_315
| ~ spl5_69
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f783,f650,f570,f7045]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_69
| ~ spl5_80 ),
inference(resolution,[],[f651,f571]) ).
fof(f6814,plain,
( spl5_314
| ~ spl5_68
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f782,f650,f566,f6812]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_80 ),
inference(resolution,[],[f651,f567]) ).
fof(f6806,plain,
( ~ spl5_3
| spl5_107
| spl5_313
| ~ spl5_21
| ~ spl5_23
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f1005,f993,f352,f330,f6804,f1175,f240]) ).
fof(f6804,plain,
( spl5_313
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_313])]) ).
fof(f993,plain,
( spl5_98
<=> ! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
fof(f1005,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_98 ),
inference(forward_demodulation,[],[f1001,f332]) ).
fof(f1001,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_98 ),
inference(superposition,[],[f994,f354]) ).
fof(f994,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_98 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f6798,plain,
( ~ spl5_3
| spl5_312
| ~ spl5_21
| ~ spl5_23
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f1004,f993,f352,f330,f6796,f240]) ).
fof(f6796,plain,
( spl5_312
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_312])]) ).
fof(f1004,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_98 ),
inference(forward_demodulation,[],[f1000,f332]) ).
fof(f1000,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_98 ),
inference(superposition,[],[f994,f354]) ).
fof(f6786,plain,
( ~ spl5_18
| spl5_311
| ~ spl5_56
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f881,f862,f513,f6784,f315]) ).
fof(f6784,plain,
( spl5_311
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_311])]) ).
fof(f513,plain,
( spl5_56
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f881,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_56
| ~ spl5_92 ),
inference(resolution,[],[f863,f514]) ).
fof(f514,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f6774,plain,
( ~ spl5_18
| spl5_310
| ~ spl5_54
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f880,f862,f504,f6772,f315]) ).
fof(f6772,plain,
( spl5_310
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_310])]) ).
fof(f504,plain,
( spl5_54
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f880,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl5_54
| ~ spl5_92 ),
inference(resolution,[],[f863,f505]) ).
fof(f505,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f6764,plain,
( ~ spl5_14
| ~ spl5_68
| spl5_298 ),
inference(avatar_split_clause,[],[f6605,f6510,f566,f295]) ).
fof(f6605,plain,
( ~ aScalar0(xP)
| ~ spl5_68
| spl5_298 ),
inference(duplicate_literal_removal,[],[f6604]) ).
fof(f6604,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl5_68
| spl5_298 ),
inference(resolution,[],[f6512,f567]) ).
fof(f6512,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl5_298 ),
inference(avatar_component_clause,[],[f6510]) ).
fof(f6763,plain,
( ~ spl5_18
| spl5_309
| ~ spl5_56
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f843,f662,f513,f6761,f315]) ).
fof(f6761,plain,
( spl5_309
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_309])]) ).
fof(f843,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_56
| ~ spl5_83 ),
inference(resolution,[],[f663,f514]) ).
fof(f6753,plain,
( ~ spl5_18
| spl5_308
| ~ spl5_54
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f842,f662,f504,f6751,f315]) ).
fof(f6751,plain,
( spl5_308
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_308])]) ).
fof(f842,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_54
| ~ spl5_83 ),
inference(resolution,[],[f663,f505]) ).
fof(f6583,plain,
( spl5_307
| ~ spl5_18
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f968,f948,f315,f6581]) ).
fof(f968,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_97 ),
inference(resolution,[],[f949,f317]) ).
fof(f6579,plain,
( spl5_306
| ~ spl5_18
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f951,f944,f315,f6577]) ).
fof(f951,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_96 ),
inference(resolution,[],[f945,f317]) ).
fof(f6575,plain,
( spl5_305
| ~ spl5_67
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f764,f757,f562,f6573]) ).
fof(f6573,plain,
( spl5_305
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_305])]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_67
| ~ spl5_87 ),
inference(resolution,[],[f758,f563]) ).
fof(f6571,plain,
( spl5_304
| ~ spl5_69
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f762,f757,f570,f6569]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_69
| ~ spl5_87 ),
inference(resolution,[],[f758,f571]) ).
fof(f6567,plain,
( spl5_303
| ~ spl5_68
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f761,f757,f566,f6565]) ).
fof(f761,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_87 ),
inference(resolution,[],[f758,f567]) ).
fof(f6563,plain,
( spl5_302
| ~ spl5_67
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f743,f669,f562,f6561]) ).
fof(f6561,plain,
( spl5_302
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_302])]) ).
fof(f743,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_67
| ~ spl5_85 ),
inference(resolution,[],[f670,f563]) ).
fof(f6559,plain,
( spl5_301
| ~ spl5_69
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f741,f669,f570,f6557]) ).
fof(f741,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_69
| ~ spl5_85 ),
inference(resolution,[],[f670,f571]) ).
fof(f6555,plain,
( spl5_300
| ~ spl5_68
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f740,f669,f566,f6553]) ).
fof(f740,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_85 ),
inference(resolution,[],[f670,f567]) ).
fof(f6517,plain,
( ~ spl5_298
| ~ spl5_299
| ~ spl5_68
| spl5_217 ),
inference(avatar_split_clause,[],[f4288,f4273,f566,f6514,f6510]) ).
fof(f4288,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_68
| spl5_217 ),
inference(resolution,[],[f4275,f567]) ).
fof(f4275,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| spl5_217 ),
inference(avatar_component_clause,[],[f4273]) ).
fof(f5841,plain,
( spl5_297
| ~ spl5_5
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f984,f948,f250,f5839]) ).
fof(f984,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_97 ),
inference(resolution,[],[f949,f252]) ).
fof(f5837,plain,
( spl5_296
| ~ spl5_10
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f983,f948,f275,f5835]) ).
fof(f983,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_97 ),
inference(resolution,[],[f949,f277]) ).
fof(f5833,plain,
( spl5_295
| ~ spl5_14
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f982,f948,f295,f5831]) ).
fof(f982,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_97 ),
inference(resolution,[],[f949,f297]) ).
fof(f5829,plain,
( spl5_294
| ~ spl5_11
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f981,f948,f280,f5827]) ).
fof(f981,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_97 ),
inference(resolution,[],[f949,f282]) ).
fof(f5825,plain,
( spl5_293
| ~ spl5_16
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f980,f948,f305,f5823]) ).
fof(f980,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_97 ),
inference(resolution,[],[f949,f307]) ).
fof(f5821,plain,
( spl5_292
| ~ spl5_6
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f979,f948,f255,f5819]) ).
fof(f979,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_97 ),
inference(resolution,[],[f949,f257]) ).
fof(f5817,plain,
( spl5_291
| ~ spl5_7
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f978,f948,f260,f5815]) ).
fof(f978,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_97 ),
inference(resolution,[],[f949,f262]) ).
fof(f5808,plain,
( spl5_290
| ~ spl5_15
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f977,f948,f300,f5806]) ).
fof(f977,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_97 ),
inference(resolution,[],[f949,f302]) ).
fof(f5804,plain,
( spl5_289
| ~ spl5_9
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f976,f948,f270,f5802]) ).
fof(f976,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_97 ),
inference(resolution,[],[f949,f272]) ).
fof(f5800,plain,
( spl5_288
| ~ spl5_8
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f975,f948,f265,f5798]) ).
fof(f975,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_97 ),
inference(resolution,[],[f949,f267]) ).
fof(f5796,plain,
( spl5_287
| ~ spl5_12
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f974,f948,f285,f5794]) ).
fof(f974,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_97 ),
inference(resolution,[],[f949,f287]) ).
fof(f5792,plain,
( spl5_286
| ~ spl5_13
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f973,f948,f290,f5790]) ).
fof(f973,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_97 ),
inference(resolution,[],[f949,f292]) ).
fof(f5788,plain,
( spl5_285
| ~ spl5_5
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f967,f944,f250,f5786]) ).
fof(f967,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_96 ),
inference(resolution,[],[f945,f252]) ).
fof(f5784,plain,
( spl5_284
| ~ spl5_10
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f966,f944,f275,f5782]) ).
fof(f966,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_96 ),
inference(resolution,[],[f945,f277]) ).
fof(f5780,plain,
( spl5_283
| ~ spl5_14
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f965,f944,f295,f5778]) ).
fof(f965,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_96 ),
inference(resolution,[],[f945,f297]) ).
fof(f5776,plain,
( spl5_282
| ~ spl5_11
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f964,f944,f280,f5774]) ).
fof(f964,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_96 ),
inference(resolution,[],[f945,f282]) ).
fof(f5772,plain,
( spl5_281
| ~ spl5_16
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f963,f944,f305,f5770]) ).
fof(f963,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_96 ),
inference(resolution,[],[f945,f307]) ).
fof(f5763,plain,
( spl5_280
| ~ spl5_6
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f962,f944,f255,f5761]) ).
fof(f962,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_96 ),
inference(resolution,[],[f945,f257]) ).
fof(f5759,plain,
( spl5_279
| ~ spl5_7
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f961,f944,f260,f5757]) ).
fof(f961,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_96 ),
inference(resolution,[],[f945,f262]) ).
fof(f5755,plain,
( spl5_278
| ~ spl5_15
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f960,f944,f300,f5753]) ).
fof(f960,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_96 ),
inference(resolution,[],[f945,f302]) ).
fof(f5751,plain,
( spl5_277
| ~ spl5_9
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f959,f944,f270,f5749]) ).
fof(f959,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_96 ),
inference(resolution,[],[f945,f272]) ).
fof(f5747,plain,
( spl5_276
| ~ spl5_8
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f958,f944,f265,f5745]) ).
fof(f958,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_96 ),
inference(resolution,[],[f945,f267]) ).
fof(f5743,plain,
( spl5_275
| ~ spl5_12
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f957,f944,f285,f5741]) ).
fof(f957,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_96 ),
inference(resolution,[],[f945,f287]) ).
fof(f5739,plain,
( spl5_274
| ~ spl5_13
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f956,f944,f290,f5737]) ).
fof(f956,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_96 ),
inference(resolution,[],[f945,f292]) ).
fof(f5730,plain,
( spl5_273
| ~ spl5_66
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f624,f614,f558,f5728]) ).
fof(f5728,plain,
( spl5_273
<=> ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_273])]) ).
fof(f558,plain,
( spl5_66
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f614,plain,
( spl5_74
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f624,plain,
( ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_66
| ~ spl5_74 ),
inference(resolution,[],[f615,f559]) ).
fof(f559,plain,
( ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f615,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 )
| ~ spl5_74 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f5689,plain,
( spl5_272
| ~ spl5_60
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f4780,f4690,f529,f5686]) ).
fof(f4780,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_60
| ~ spl5_238 ),
inference(resolution,[],[f4692,f530]) ).
fof(f5533,plain,
( spl5_271
| ~ spl5_18
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f925,f901,f315,f5531]) ).
fof(f925,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_94 ),
inference(resolution,[],[f902,f317]) ).
fof(f5529,plain,
( spl5_270
| ~ spl5_18
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f908,f897,f315,f5527]) ).
fof(f908,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_93 ),
inference(resolution,[],[f898,f317]) ).
fof(f5525,plain,
( spl5_269
| ~ spl5_75
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f887,f862,f618,f5523]) ).
fof(f5523,plain,
( spl5_269
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_269])]) ).
fof(f618,plain,
( spl5_75
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl5_75
| ~ spl5_92 ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl5_75
| ~ spl5_92 ),
inference(resolution,[],[f863,f619]) ).
fof(f619,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_75 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f5521,plain,
( spl5_268
| ~ spl5_40
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f825,f658,f435,f5519]) ).
fof(f825,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_82 ),
inference(resolution,[],[f659,f436]) ).
fof(f5517,plain,
( spl5_267
| ~ spl5_40
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f802,f654,f435,f5515]) ).
fof(f802,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_81 ),
inference(resolution,[],[f655,f436]) ).
fof(f5513,plain,
( spl5_266
| ~ spl5_59
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f4779,f4690,f525,f5510]) ).
fof(f5510,plain,
( spl5_266
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_266])]) ).
fof(f4779,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,xD),sz0z00)
| ~ spl5_59
| ~ spl5_238 ),
inference(resolution,[],[f4692,f526]) ).
fof(f5508,plain,
( spl5_265
| ~ spl5_40
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f784,f650,f435,f5506]) ).
fof(f784,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_80 ),
inference(resolution,[],[f651,f436]) ).
fof(f5249,plain,
( spl5_264
| ~ spl5_60
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4733,f4609,f529,f5246]) ).
fof(f4733,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_60
| ~ spl5_232 ),
inference(resolution,[],[f4611,f530]) ).
fof(f4950,plain,
( spl5_263
| ~ spl5_59
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f4732,f4609,f525,f4947]) ).
fof(f4947,plain,
( spl5_263
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_263])]) ).
fof(f4732,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,xE),sz0z00)
| ~ spl5_59
| ~ spl5_232 ),
inference(resolution,[],[f4611,f526]) ).
fof(f4803,plain,
( spl5_262
| ~ spl5_5
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f941,f901,f250,f4801]) ).
fof(f941,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_94 ),
inference(resolution,[],[f902,f252]) ).
fof(f4799,plain,
( spl5_261
| ~ spl5_10
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f940,f901,f275,f4797]) ).
fof(f940,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_94 ),
inference(resolution,[],[f902,f277]) ).
fof(f4795,plain,
( spl5_260
| ~ spl5_14
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f939,f901,f295,f4793]) ).
fof(f939,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_94 ),
inference(resolution,[],[f902,f297]) ).
fof(f4791,plain,
( spl5_259
| ~ spl5_11
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f938,f901,f280,f4789]) ).
fof(f938,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_94 ),
inference(resolution,[],[f902,f282]) ).
fof(f4787,plain,
( spl5_258
| ~ spl5_16
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f937,f901,f305,f4785]) ).
fof(f937,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_94 ),
inference(resolution,[],[f902,f307]) ).
fof(f4776,plain,
( spl5_257
| ~ spl5_6
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f936,f901,f255,f4774]) ).
fof(f936,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_94 ),
inference(resolution,[],[f902,f257]) ).
fof(f4772,plain,
( spl5_256
| ~ spl5_7
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f935,f901,f260,f4770]) ).
fof(f935,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_94 ),
inference(resolution,[],[f902,f262]) ).
fof(f4768,plain,
( spl5_255
| ~ spl5_15
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f934,f901,f300,f4766]) ).
fof(f934,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_94 ),
inference(resolution,[],[f902,f302]) ).
fof(f4764,plain,
( spl5_254
| ~ spl5_9
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f933,f901,f270,f4762]) ).
fof(f933,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_94 ),
inference(resolution,[],[f902,f272]) ).
fof(f4760,plain,
( spl5_253
| ~ spl5_8
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f932,f901,f265,f4758]) ).
fof(f932,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_94 ),
inference(resolution,[],[f902,f267]) ).
fof(f4756,plain,
( spl5_252
| ~ spl5_12
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f931,f901,f285,f4754]) ).
fof(f931,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_94 ),
inference(resolution,[],[f902,f287]) ).
fof(f4752,plain,
( spl5_251
| ~ spl5_13
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f930,f901,f290,f4750]) ).
fof(f930,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_94 ),
inference(resolution,[],[f902,f292]) ).
fof(f4748,plain,
( spl5_250
| ~ spl5_5
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f924,f897,f250,f4746]) ).
fof(f924,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_93 ),
inference(resolution,[],[f898,f252]) ).
fof(f4744,plain,
( spl5_249
| ~ spl5_10
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f923,f897,f275,f4742]) ).
fof(f923,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_93 ),
inference(resolution,[],[f898,f277]) ).
fof(f4740,plain,
( spl5_248
| ~ spl5_14
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f922,f897,f295,f4738]) ).
fof(f922,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_93 ),
inference(resolution,[],[f898,f297]) ).
fof(f4729,plain,
( spl5_247
| ~ spl5_11
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f921,f897,f280,f4727]) ).
fof(f921,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_93 ),
inference(resolution,[],[f898,f282]) ).
fof(f4725,plain,
( spl5_246
| ~ spl5_16
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f920,f897,f305,f4723]) ).
fof(f920,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_93 ),
inference(resolution,[],[f898,f307]) ).
fof(f4721,plain,
( spl5_245
| ~ spl5_6
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f919,f897,f255,f4719]) ).
fof(f919,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_93 ),
inference(resolution,[],[f898,f257]) ).
fof(f4717,plain,
( spl5_244
| ~ spl5_7
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f918,f897,f260,f4715]) ).
fof(f918,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_93 ),
inference(resolution,[],[f898,f262]) ).
fof(f4713,plain,
( spl5_243
| ~ spl5_15
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f917,f897,f300,f4711]) ).
fof(f917,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_93 ),
inference(resolution,[],[f898,f302]) ).
fof(f4709,plain,
( spl5_242
| ~ spl5_9
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f916,f897,f270,f4707]) ).
fof(f916,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_93 ),
inference(resolution,[],[f898,f272]) ).
fof(f4705,plain,
( spl5_241
| ~ spl5_8
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f915,f897,f265,f4703]) ).
fof(f915,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_93 ),
inference(resolution,[],[f898,f267]) ).
fof(f4701,plain,
( spl5_240
| ~ spl5_12
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f914,f897,f285,f4699]) ).
fof(f914,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_93 ),
inference(resolution,[],[f898,f287]) ).
fof(f4697,plain,
( spl5_239
| ~ spl5_13
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f913,f897,f290,f4695]) ).
fof(f913,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_93 ),
inference(resolution,[],[f898,f292]) ).
fof(f4693,plain,
( spl5_238
| ~ spl5_22
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4454,f4269,f335,f4690]) ).
fof(f4454,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_22
| ~ spl5_216 ),
inference(resolution,[],[f4270,f336]) ).
fof(f4688,plain,
( ~ spl5_3
| spl5_237
| ~ spl5_23
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f865,f850,f352,f4686,f240]) ).
fof(f4686,plain,
( spl5_237
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| sP0(X0,xs)
| aNaturalNumber0(sK3(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_237])]) ).
fof(f850,plain,
( spl5_89
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f865,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| aNaturalNumber0(sK3(X0,xs))
| sP0(X0,xs)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_89 ),
inference(superposition,[],[f851,f354]) ).
fof(f851,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f4630,plain,
( spl5_236
| ~ spl5_40
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f763,f757,f435,f4628]) ).
fof(f763,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_87 ),
inference(resolution,[],[f758,f436]) ).
fof(f4626,plain,
( spl5_235
| ~ spl5_40
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f742,f669,f435,f4624]) ).
fof(f742,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_85 ),
inference(resolution,[],[f670,f436]) ).
fof(f4622,plain,
( spl5_234
| ~ spl5_38
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f623,f614,f427,f4620]) ).
fof(f4620,plain,
( spl5_234
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_234])]) ).
fof(f427,plain,
( spl5_38
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f623,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl5_38
| ~ spl5_74 ),
inference(resolution,[],[f615,f428]) ).
fof(f428,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f4618,plain,
( spl5_233
| ~ spl5_37
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f622,f614,f423,f4616]) ).
fof(f4616,plain,
( spl5_233
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_233])]) ).
fof(f423,plain,
( spl5_37
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f622,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37
| ~ spl5_74 ),
inference(resolution,[],[f615,f424]) ).
fof(f424,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f4612,plain,
( spl5_232
| ~ spl5_22
| ~ spl5_215 ),
inference(avatar_split_clause,[],[f4308,f4265,f335,f4609]) ).
fof(f4308,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_22
| ~ spl5_215 ),
inference(resolution,[],[f4266,f336]) ).
fof(f4607,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_229
| ~ spl5_230
| spl5_231
| ~ spl5_25
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f874,f858,f362,f4604,f4597,f4590,f275,f280]) ).
fof(f4590,plain,
( spl5_229
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_229])]) ).
fof(f4604,plain,
( spl5_231
<=> sdtlseqdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_231])]) ).
fof(f874,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_25
| ~ spl5_91 ),
inference(superposition,[],[f859,f364]) ).
fof(f4600,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_115
| ~ spl5_114
| spl5_230
| ~ spl5_30
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f873,f858,f387,f4597,f1211,f1218,f270,f260]) ).
fof(f1218,plain,
( spl5_115
<=> sdtlseqdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f873,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ spl5_30
| ~ spl5_91 ),
inference(superposition,[],[f859,f389]) ).
fof(f4593,plain,
( ~ spl5_8
| ~ spl5_6
| ~ spl5_113
| ~ spl5_116
| spl5_229
| ~ spl5_31
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f871,f858,f392,f4590,f1225,f1204,f255,f265]) ).
fof(f1204,plain,
( spl5_113
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f871,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ spl5_31
| ~ spl5_91 ),
inference(superposition,[],[f859,f394]) ).
fof(f4582,plain,
( ~ spl5_13
| ~ spl5_12
| ~ spl5_226
| ~ spl5_227
| spl5_228
| ~ spl5_34
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f869,f858,f407,f4579,f4575,f4571,f285,f290]) ).
fof(f4571,plain,
( spl5_226
<=> sdtlseqdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_226])]) ).
fof(f4575,plain,
( spl5_227
<=> sdtlseqdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_227])]) ).
fof(f4579,plain,
( spl5_228
<=> sdtlseqdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_228])]) ).
fof(f869,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ spl5_34
| ~ spl5_91 ),
inference(superposition,[],[f859,f409]) ).
fof(f4453,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_69
| spl5_216 ),
inference(avatar_split_clause,[],[f4287,f4269,f570,f270,f265]) ).
fof(f4287,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ spl5_69
| spl5_216 ),
inference(resolution,[],[f4271,f571]) ).
fof(f4271,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl5_216 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f4449,plain,
( ~ spl5_3
| spl5_225
| ~ spl5_23
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f778,f641,f352,f4447,f240]) ).
fof(f641,plain,
( spl5_78
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f778,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_78 ),
inference(superposition,[],[f642,f354]) ).
fof(f642,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f4442,plain,
( ~ spl5_3
| spl5_224
| ~ spl5_23
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f777,f641,f352,f4440,f240]) ).
fof(f777,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_78 ),
inference(superposition,[],[f642,f354]) ).
fof(f4432,plain,
( spl5_223
| ~ spl5_51
| ~ spl5_76 ),
inference(avatar_split_clause,[],[f637,f630,f487,f4430]) ).
fof(f4430,plain,
( spl5_223
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_223])]) ).
fof(f487,plain,
( spl5_51
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f630,plain,
( spl5_76
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) )
| ~ spl5_51
| ~ spl5_76 ),
inference(resolution,[],[f631,f488]) ).
fof(f488,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f631,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
| ~ spl5_76 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f4307,plain,
( ~ spl5_15
| ~ spl5_69
| spl5_215 ),
inference(avatar_split_clause,[],[f4286,f4265,f570,f300]) ).
fof(f4286,plain,
( ~ aScalar0(xE)
| ~ spl5_69
| spl5_215 ),
inference(duplicate_literal_removal,[],[f4285]) ).
fof(f4285,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ spl5_69
| spl5_215 ),
inference(resolution,[],[f4267,f571]) ).
fof(f4267,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl5_215 ),
inference(avatar_component_clause,[],[f4265]) ).
fof(f4306,plain,
( ~ spl5_220
| ~ spl5_221
| spl5_222
| spl5_43
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f625,f618,f450,f4303,f4299,f4295]) ).
fof(f4303,plain,
( spl5_222
<=> sdtlseqdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_222])]) ).
fof(f450,plain,
( spl5_43
<=> sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f625,plain,
( sdtlseqdt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| spl5_43
| ~ spl5_75 ),
inference(resolution,[],[f619,f452]) ).
fof(f452,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| spl5_43 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f4284,plain,
( ~ spl5_215
| ~ spl5_216
| ~ spl5_217
| ~ spl5_218
| ~ spl5_53
| ~ spl5_219
| spl5_43
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1016,f1013,f450,f4281,f499,f4277,f4273,f4269,f4265]) ).
fof(f1016,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| spl5_43
| ~ spl5_100 ),
inference(resolution,[],[f1014,f452]) ).
fof(f4218,plain,
( spl5_214
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1023,f1020,f4216]) ).
fof(f4216,plain,
( spl5_214
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_214])]) ).
fof(f1020,plain,
( spl5_101
<=> ! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
fof(f1023,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_101 ),
inference(equality_resolution,[],[f1021]) ).
fof(f1021,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_101 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f4214,plain,
( spl5_213
| ~ spl5_42
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1099,f529,f445,f4211]) ).
fof(f4209,plain,
( spl5_212
| ~ spl5_18
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f822,f658,f315,f4207]) ).
fof(f4207,plain,
( spl5_212
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_212])]) ).
fof(f822,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_82 ),
inference(resolution,[],[f659,f317]) ).
fof(f4204,plain,
( spl5_211
| ~ spl5_18
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f799,f654,f315,f4202]) ).
fof(f4202,plain,
( spl5_211
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_211])]) ).
fof(f799,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_81 ),
inference(resolution,[],[f655,f317]) ).
fof(f4199,plain,
( spl5_210
| ~ spl5_18
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f781,f650,f315,f4197]) ).
fof(f4197,plain,
( spl5_210
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_210])]) ).
fof(f781,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_80 ),
inference(resolution,[],[f651,f317]) ).
fof(f4014,plain,
( spl5_209
| ~ spl5_42
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1098,f525,f445,f4011]) ).
fof(f3755,plain,
( spl5_208
| ~ spl5_42
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1097,f521,f445,f3752]) ).
fof(f3752,plain,
( spl5_208
<=> xD = sdtpldt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_208])]) ).
fof(f1097,plain,
( xD = sdtpldt0(sz0z00,xD)
| ~ spl5_42
| ~ spl5_58 ),
inference(resolution,[],[f447,f522]) ).
fof(f3482,plain,
( spl5_207
| ~ spl5_42
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1096,f517,f445,f3479]) ).
fof(f3479,plain,
( spl5_207
<=> xD = sdtpldt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_207])]) ).
fof(f1096,plain,
( xD = sdtpldt0(xD,sz0z00)
| ~ spl5_42
| ~ spl5_57 ),
inference(resolution,[],[f447,f518]) ).
fof(f3241,plain,
( spl5_206
| ~ spl5_5
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f838,f658,f250,f3239]) ).
fof(f838,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_82 ),
inference(resolution,[],[f659,f252]) ).
fof(f3237,plain,
( spl5_205
| ~ spl5_36
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1052,f533,f418,f3234]) ).
fof(f3234,plain,
( spl5_205
<=> xC = smndt0(smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_205])]) ).
fof(f1052,plain,
( xC = smndt0(smndt0(xC))
| ~ spl5_36
| ~ spl5_61 ),
inference(resolution,[],[f420,f534]) ).
fof(f3232,plain,
( spl5_204
| ~ spl5_10
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f837,f658,f275,f3230]) ).
fof(f837,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_82 ),
inference(resolution,[],[f659,f277]) ).
fof(f3228,plain,
( spl5_203
| ~ spl5_14
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f836,f658,f295,f3226]) ).
fof(f836,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_82 ),
inference(resolution,[],[f659,f297]) ).
fof(f3224,plain,
( spl5_202
| ~ spl5_11
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f835,f658,f280,f3222]) ).
fof(f835,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_82 ),
inference(resolution,[],[f659,f282]) ).
fof(f3220,plain,
( spl5_201
| ~ spl5_16
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f834,f658,f305,f3218]) ).
fof(f834,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_82 ),
inference(resolution,[],[f659,f307]) ).
fof(f3216,plain,
( spl5_200
| ~ spl5_6
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f833,f658,f255,f3214]) ).
fof(f833,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_82 ),
inference(resolution,[],[f659,f257]) ).
fof(f3212,plain,
( spl5_199
| ~ spl5_7
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f832,f658,f260,f3210]) ).
fof(f832,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_82 ),
inference(resolution,[],[f659,f262]) ).
fof(f3208,plain,
( spl5_198
| ~ spl5_15
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f831,f658,f300,f3206]) ).
fof(f831,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_82 ),
inference(resolution,[],[f659,f302]) ).
fof(f3204,plain,
( spl5_197
| ~ spl5_9
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f830,f658,f270,f3202]) ).
fof(f830,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_82 ),
inference(resolution,[],[f659,f272]) ).
fof(f3200,plain,
( spl5_196
| ~ spl5_8
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f829,f658,f265,f3198]) ).
fof(f829,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_82 ),
inference(resolution,[],[f659,f267]) ).
fof(f3196,plain,
( spl5_195
| ~ spl5_12
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f828,f658,f285,f3194]) ).
fof(f828,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_82 ),
inference(resolution,[],[f659,f287]) ).
fof(f3192,plain,
( spl5_194
| ~ spl5_36
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1051,f529,f418,f3189]) ).
fof(f1051,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_36
| ~ spl5_60 ),
inference(resolution,[],[f420,f530]) ).
fof(f3187,plain,
( spl5_193
| ~ spl5_13
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f827,f658,f290,f3185]) ).
fof(f827,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_82 ),
inference(resolution,[],[f659,f292]) ).
fof(f3183,plain,
( spl5_192
| ~ spl5_5
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f815,f654,f250,f3181]) ).
fof(f815,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_81 ),
inference(resolution,[],[f655,f252]) ).
fof(f3179,plain,
( spl5_191
| ~ spl5_10
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f814,f654,f275,f3177]) ).
fof(f814,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_81 ),
inference(resolution,[],[f655,f277]) ).
fof(f3175,plain,
( spl5_190
| ~ spl5_14
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f813,f654,f295,f3173]) ).
fof(f813,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_81 ),
inference(resolution,[],[f655,f297]) ).
fof(f3171,plain,
( spl5_189
| ~ spl5_11
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f812,f654,f280,f3169]) ).
fof(f812,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_81 ),
inference(resolution,[],[f655,f282]) ).
fof(f3167,plain,
( spl5_188
| ~ spl5_16
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f811,f654,f305,f3165]) ).
fof(f811,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_81 ),
inference(resolution,[],[f655,f307]) ).
fof(f3163,plain,
( spl5_187
| ~ spl5_6
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f810,f654,f255,f3161]) ).
fof(f810,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_81 ),
inference(resolution,[],[f655,f257]) ).
fof(f3159,plain,
( spl5_186
| ~ spl5_7
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f809,f654,f260,f3157]) ).
fof(f809,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_81 ),
inference(resolution,[],[f655,f262]) ).
fof(f3155,plain,
( spl5_185
| ~ spl5_15
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f808,f654,f300,f3153]) ).
fof(f808,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_81 ),
inference(resolution,[],[f655,f302]) ).
fof(f3151,plain,
( spl5_184
| ~ spl5_9
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f807,f654,f270,f3149]) ).
fof(f807,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_81 ),
inference(resolution,[],[f655,f272]) ).
fof(f3147,plain,
( spl5_183
| ~ spl5_36
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1050,f525,f418,f3144]) ).
fof(f3142,plain,
( spl5_182
| ~ spl5_8
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f806,f654,f265,f3140]) ).
fof(f806,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_81 ),
inference(resolution,[],[f655,f267]) ).
fof(f3138,plain,
( spl5_181
| ~ spl5_12
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f805,f654,f285,f3136]) ).
fof(f805,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_81 ),
inference(resolution,[],[f655,f287]) ).
fof(f3134,plain,
( spl5_180
| ~ spl5_13
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f804,f654,f290,f3132]) ).
fof(f804,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_81 ),
inference(resolution,[],[f655,f292]) ).
fof(f3130,plain,
( spl5_179
| ~ spl5_5
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f797,f650,f250,f3128]) ).
fof(f797,plain,
( ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_80 ),
inference(resolution,[],[f651,f252]) ).
fof(f3126,plain,
( spl5_178
| ~ spl5_10
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f796,f650,f275,f3124]) ).
fof(f796,plain,
( ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_80 ),
inference(resolution,[],[f651,f277]) ).
fof(f3122,plain,
( spl5_177
| ~ spl5_14
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f795,f650,f295,f3120]) ).
fof(f795,plain,
( ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_80 ),
inference(resolution,[],[f651,f297]) ).
fof(f3118,plain,
( spl5_176
| ~ spl5_11
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f794,f650,f280,f3116]) ).
fof(f794,plain,
( ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_80 ),
inference(resolution,[],[f651,f282]) ).
fof(f3114,plain,
( spl5_175
| ~ spl5_16
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f793,f650,f305,f3112]) ).
fof(f793,plain,
( ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_80 ),
inference(resolution,[],[f651,f307]) ).
fof(f3110,plain,
( spl5_174
| ~ spl5_6
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f792,f650,f255,f3108]) ).
fof(f792,plain,
( ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_80 ),
inference(resolution,[],[f651,f257]) ).
fof(f3106,plain,
( spl5_173
| ~ spl5_7
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f791,f650,f260,f3104]) ).
fof(f791,plain,
( ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_80 ),
inference(resolution,[],[f651,f262]) ).
fof(f3102,plain,
( spl5_172
| ~ spl5_36
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1049,f521,f418,f3099]) ).
fof(f3099,plain,
( spl5_172
<=> xC = sdtpldt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f1049,plain,
( xC = sdtpldt0(sz0z00,xC)
| ~ spl5_36
| ~ spl5_58 ),
inference(resolution,[],[f420,f522]) ).
fof(f3097,plain,
( spl5_171
| ~ spl5_15
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f790,f650,f300,f3095]) ).
fof(f790,plain,
( ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_80 ),
inference(resolution,[],[f651,f302]) ).
fof(f3093,plain,
( spl5_170
| ~ spl5_9
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f789,f650,f270,f3091]) ).
fof(f789,plain,
( ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_80 ),
inference(resolution,[],[f651,f272]) ).
fof(f3089,plain,
( spl5_169
| ~ spl5_8
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f788,f650,f265,f3087]) ).
fof(f788,plain,
( ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_80 ),
inference(resolution,[],[f651,f267]) ).
fof(f3085,plain,
( spl5_168
| ~ spl5_12
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f787,f650,f285,f3083]) ).
fof(f787,plain,
( ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_80 ),
inference(resolution,[],[f651,f287]) ).
fof(f3081,plain,
( spl5_167
| ~ spl5_13
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f786,f650,f290,f3079]) ).
fof(f786,plain,
( ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_80 ),
inference(resolution,[],[f651,f292]) ).
fof(f3016,plain,
( spl5_166
| ~ spl5_18
| ~ spl5_49
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f816,f654,f476,f315,f3014]) ).
fof(f816,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_49
| ~ spl5_81 ),
inference(forward_demodulation,[],[f799,f478]) ).
fof(f2952,plain,
( spl5_165
| ~ spl5_36
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1048,f517,f418,f2949]) ).
fof(f2949,plain,
( spl5_165
<=> xC = sdtpldt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f1048,plain,
( xC = sdtpldt0(xC,sz0z00)
| ~ spl5_36
| ~ spl5_57 ),
inference(resolution,[],[f420,f518]) ).
fof(f2749,plain,
( spl5_164
| ~ spl5_35
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f989,f533,f412,f2746]) ).
fof(f2746,plain,
( spl5_164
<=> xB = smndt0(smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f989,plain,
( xB = smndt0(smndt0(xB))
| ~ spl5_35
| ~ spl5_61 ),
inference(resolution,[],[f414,f534]) ).
fof(f2552,plain,
( spl5_163
| ~ spl5_35
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f988,f529,f412,f2549]) ).
fof(f988,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_35
| ~ spl5_60 ),
inference(resolution,[],[f414,f530]) ).
fof(f2398,plain,
( spl5_162
| ~ spl5_35
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f987,f525,f412,f2395]) ).
fof(f987,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_35
| ~ spl5_59 ),
inference(resolution,[],[f414,f526]) ).
fof(f2256,plain,
( spl5_161
| ~ spl5_35
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f986,f521,f412,f2253]) ).
fof(f2253,plain,
( spl5_161
<=> xB = sdtpldt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f986,plain,
( xB = sdtpldt0(sz0z00,xB)
| ~ spl5_35
| ~ spl5_58 ),
inference(resolution,[],[f414,f522]) ).
fof(f2044,plain,
( ~ spl5_48
| ~ spl5_106 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2015,plain,
( $false
| ~ spl5_48
| ~ spl5_106 ),
inference(resolution,[],[f474,f1162]) ).
fof(f474,plain,
( ! [X0] : ~ sP2(X0)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl5_48
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f2043,plain,
( ~ spl5_24
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2020,plain,
( $false
| ~ spl5_24
| ~ spl5_48 ),
inference(resolution,[],[f474,f359]) ).
fof(f2042,plain,
( ~ spl5_35
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl5_35
| ~ spl5_48 ),
inference(resolution,[],[f474,f414]) ).
fof(f2041,plain,
( ~ spl5_36
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl5_36
| ~ spl5_48 ),
inference(resolution,[],[f474,f420]) ).
fof(f2040,plain,
( ~ spl5_42
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2023,plain,
( $false
| ~ spl5_42
| ~ spl5_48 ),
inference(resolution,[],[f474,f447]) ).
fof(f2039,plain,
( ~ spl5_48
| ~ spl5_50 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2024,plain,
( $false
| ~ spl5_48
| ~ spl5_50 ),
inference(resolution,[],[f474,f483]) ).
fof(f2038,plain,
( ~ spl5_48
| ~ spl5_55 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2025,plain,
( $false
| ~ spl5_48
| ~ spl5_55 ),
inference(resolution,[],[f474,f510]) ).
fof(f2037,plain,
( ~ spl5_48
| ~ spl5_62 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2026,plain,
( $false
| ~ spl5_48
| ~ spl5_62 ),
inference(resolution,[],[f474,f543]) ).
fof(f2036,plain,
( ~ spl5_48
| ~ spl5_70 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2027,plain,
( $false
| ~ spl5_48
| ~ spl5_70 ),
inference(resolution,[],[f474,f576]) ).
fof(f2035,plain,
( ~ spl5_48
| ~ spl5_73 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| ~ spl5_48
| ~ spl5_73 ),
inference(resolution,[],[f474,f610]) ).
fof(f2034,plain,
( ~ spl5_48
| ~ spl5_79 ),
inference(avatar_contradiction_clause,[],[f2029]) ).
fof(f2029,plain,
( $false
| ~ spl5_48
| ~ spl5_79 ),
inference(resolution,[],[f474,f647]) ).
fof(f2033,plain,
( ~ spl5_48
| ~ spl5_86 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2030,plain,
( $false
| ~ spl5_48
| ~ spl5_86 ),
inference(resolution,[],[f474,f719]) ).
fof(f2032,plain,
( ~ spl5_48
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f2031]) ).
fof(f2031,plain,
( $false
| ~ spl5_48
| ~ spl5_88 ),
inference(resolution,[],[f474,f820]) ).
fof(f2014,plain,
( spl5_160
| ~ spl5_18
| ~ spl5_49
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f798,f650,f476,f315,f2012]) ).
fof(f798,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_49
| ~ spl5_80 ),
inference(forward_demodulation,[],[f781,f478]) ).
fof(f1943,plain,
( spl5_159
| ~ spl5_18
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f760,f757,f315,f1941]) ).
fof(f760,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_18
| ~ spl5_87 ),
inference(resolution,[],[f758,f317]) ).
fof(f1939,plain,
( spl5_158
| ~ spl5_18
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f739,f669,f315,f1937]) ).
fof(f739,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_18
| ~ spl5_85 ),
inference(resolution,[],[f670,f317]) ).
fof(f1935,plain,
( spl5_157
| ~ spl5_51
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f612,f602,f487,f1933]) ).
fof(f1933,plain,
( spl5_157
<=> ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f612,plain,
( ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) )
| ~ spl5_51
| ~ spl5_72 ),
inference(resolution,[],[f603,f488]) ).
fof(f1873,plain,
( spl5_156
| ~ spl5_35
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f985,f517,f412,f1870]) ).
fof(f1870,plain,
( spl5_156
<=> xB = sdtpldt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f985,plain,
( xB = sdtpldt0(xB,sz0z00)
| ~ spl5_35
| ~ spl5_57 ),
inference(resolution,[],[f414,f518]) ).
fof(f1669,plain,
( spl5_155
| ~ spl5_24
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f893,f533,f357,f1666]) ).
fof(f1666,plain,
( spl5_155
<=> xA = smndt0(smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f893,plain,
( xA = smndt0(smndt0(xA))
| ~ spl5_24
| ~ spl5_61 ),
inference(resolution,[],[f359,f534]) ).
fof(f1474,plain,
( spl5_154
| ~ spl5_24
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f892,f529,f357,f1471]) ).
fof(f892,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_24
| ~ spl5_60 ),
inference(resolution,[],[f359,f530]) ).
fof(f1450,plain,
( spl5_153
| ~ spl5_5
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f776,f757,f250,f1448]) ).
fof(f776,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) )
| ~ spl5_5
| ~ spl5_87 ),
inference(resolution,[],[f758,f252]) ).
fof(f1446,plain,
( spl5_152
| ~ spl5_10
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f775,f757,f275,f1444]) ).
fof(f775,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_10
| ~ spl5_87 ),
inference(resolution,[],[f758,f277]) ).
fof(f1442,plain,
( spl5_151
| ~ spl5_14
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f774,f757,f295,f1440]) ).
fof(f774,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_14
| ~ spl5_87 ),
inference(resolution,[],[f758,f297]) ).
fof(f1438,plain,
( spl5_150
| ~ spl5_11
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f773,f757,f280,f1436]) ).
fof(f773,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_11
| ~ spl5_87 ),
inference(resolution,[],[f758,f282]) ).
fof(f1434,plain,
( spl5_149
| ~ spl5_16
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f772,f757,f305,f1432]) ).
fof(f772,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_16
| ~ spl5_87 ),
inference(resolution,[],[f758,f307]) ).
fof(f1430,plain,
( spl5_148
| ~ spl5_6
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f771,f757,f255,f1428]) ).
fof(f771,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_6
| ~ spl5_87 ),
inference(resolution,[],[f758,f257]) ).
fof(f1426,plain,
( spl5_147
| ~ spl5_7
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f770,f757,f260,f1424]) ).
fof(f770,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_7
| ~ spl5_87 ),
inference(resolution,[],[f758,f262]) ).
fof(f1422,plain,
( spl5_146
| ~ spl5_15
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f769,f757,f300,f1420]) ).
fof(f769,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_15
| ~ spl5_87 ),
inference(resolution,[],[f758,f302]) ).
fof(f1418,plain,
( spl5_145
| ~ spl5_9
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f768,f757,f270,f1416]) ).
fof(f768,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_9
| ~ spl5_87 ),
inference(resolution,[],[f758,f272]) ).
fof(f1414,plain,
( spl5_144
| ~ spl5_24
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f891,f525,f357,f1411]) ).
fof(f891,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_24
| ~ spl5_59 ),
inference(resolution,[],[f359,f526]) ).
fof(f1409,plain,
( spl5_143
| ~ spl5_8
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f767,f757,f265,f1407]) ).
fof(f767,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_8
| ~ spl5_87 ),
inference(resolution,[],[f758,f267]) ).
fof(f1405,plain,
( spl5_142
| ~ spl5_12
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f766,f757,f285,f1403]) ).
fof(f766,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_12
| ~ spl5_87 ),
inference(resolution,[],[f758,f287]) ).
fof(f1401,plain,
( spl5_141
| ~ spl5_13
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f765,f757,f290,f1399]) ).
fof(f765,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_13
| ~ spl5_87 ),
inference(resolution,[],[f758,f292]) ).
fof(f1397,plain,
( spl5_140
| ~ spl5_5
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f755,f669,f250,f1395]) ).
fof(f755,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) )
| ~ spl5_5
| ~ spl5_85 ),
inference(resolution,[],[f670,f252]) ).
fof(f1393,plain,
( spl5_139
| ~ spl5_10
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f754,f669,f275,f1391]) ).
fof(f754,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_10
| ~ spl5_85 ),
inference(resolution,[],[f670,f277]) ).
fof(f1389,plain,
( spl5_138
| ~ spl5_14
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f753,f669,f295,f1387]) ).
fof(f753,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_14
| ~ spl5_85 ),
inference(resolution,[],[f670,f297]) ).
fof(f1385,plain,
( spl5_137
| ~ spl5_11
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f752,f669,f280,f1383]) ).
fof(f752,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_11
| ~ spl5_85 ),
inference(resolution,[],[f670,f282]) ).
fof(f1381,plain,
( spl5_136
| ~ spl5_16
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f751,f669,f305,f1379]) ).
fof(f751,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_16
| ~ spl5_85 ),
inference(resolution,[],[f670,f307]) ).
fof(f1377,plain,
( spl5_135
| ~ spl5_6
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f750,f669,f255,f1375]) ).
fof(f750,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_6
| ~ spl5_85 ),
inference(resolution,[],[f670,f257]) ).
fof(f1373,plain,
( spl5_134
| ~ spl5_7
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f749,f669,f260,f1371]) ).
fof(f749,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_7
| ~ spl5_85 ),
inference(resolution,[],[f670,f262]) ).
fof(f1369,plain,
( spl5_133
| ~ spl5_24
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f890,f521,f357,f1366]) ).
fof(f1366,plain,
( spl5_133
<=> xA = sdtpldt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f890,plain,
( xA = sdtpldt0(sz0z00,xA)
| ~ spl5_24
| ~ spl5_58 ),
inference(resolution,[],[f359,f522]) ).
fof(f1364,plain,
( spl5_132
| ~ spl5_15
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f748,f669,f300,f1362]) ).
fof(f748,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_15
| ~ spl5_85 ),
inference(resolution,[],[f670,f302]) ).
fof(f1360,plain,
( spl5_131
| ~ spl5_9
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f747,f669,f270,f1358]) ).
fof(f747,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_9
| ~ spl5_85 ),
inference(resolution,[],[f670,f272]) ).
fof(f1356,plain,
( spl5_130
| ~ spl5_8
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f746,f669,f265,f1354]) ).
fof(f746,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_8
| ~ spl5_85 ),
inference(resolution,[],[f670,f267]) ).
fof(f1352,plain,
( spl5_129
| ~ spl5_12
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f745,f669,f285,f1350]) ).
fof(f745,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_12
| ~ spl5_85 ),
inference(resolution,[],[f670,f287]) ).
fof(f1348,plain,
( spl5_128
| ~ spl5_13
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f744,f669,f290,f1346]) ).
fof(f744,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_13
| ~ spl5_85 ),
inference(resolution,[],[f670,f292]) ).
fof(f1312,plain,
( spl5_127
| ~ spl5_22
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f587,f570,f335,f1310]) ).
fof(f1310,plain,
( spl5_127
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl5_22
| ~ spl5_69 ),
inference(resolution,[],[f571,f336]) ).
fof(f1308,plain,
( spl5_126
| ~ spl5_22
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f586,f566,f335,f1306]) ).
fof(f1306,plain,
( spl5_126
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f586,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl5_22
| ~ spl5_68 ),
inference(resolution,[],[f567,f336]) ).
fof(f1304,plain,
( spl5_125
| ~ spl5_24
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f889,f517,f357,f1301]) ).
fof(f1301,plain,
( spl5_125
<=> xA = sdtpldt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f889,plain,
( xA = sdtpldt0(xA,sz0z00)
| ~ spl5_24
| ~ spl5_57 ),
inference(resolution,[],[f359,f518]) ).
fof(f1299,plain,
( spl5_124
| ~ spl5_22
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f583,f562,f335,f1297]) ).
fof(f1297,plain,
( spl5_124
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl5_22
| ~ spl5_67 ),
inference(resolution,[],[f563,f336]) ).
fof(f1282,plain,
( spl5_123
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f780,f641,f1280]) ).
fof(f780,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_78 ),
inference(duplicate_literal_removal,[],[f779]) ).
fof(f779,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_78 ),
inference(equality_resolution,[],[f642]) ).
fof(f1273,plain,
( spl5_111
| spl5_107
| ~ spl5_3
| ~ spl5_23
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f582,f546,f352,f240,f1175,f1195]) ).
fof(f1195,plain,
( spl5_111
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f546,plain,
( spl5_63
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f582,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xs)
| ~ spl5_3
| ~ spl5_23
| ~ spl5_63 ),
inference(forward_demodulation,[],[f578,f354]) ).
fof(f578,plain,
( sz00 = aDimensionOf0(xs)
| sP1(xs)
| ~ spl5_3
| ~ spl5_63 ),
inference(resolution,[],[f547,f242]) ).
fof(f242,plain,
( aVector0(xs)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f547,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sP1(X0) )
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f1272,plain,
( spl5_121
| spl5_122
| ~ spl5_1
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f581,f546,f230,f1269,f1265]) ).
fof(f1265,plain,
( spl5_121
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f1269,plain,
( spl5_122
<=> sz00 = aDimensionOf0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f230,plain,
( spl5_1
<=> aVector0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f581,plain,
( sz00 = aDimensionOf0(xq)
| sP1(xq)
| ~ spl5_1
| ~ spl5_63 ),
inference(resolution,[],[f547,f232]) ).
fof(f232,plain,
( aVector0(xq)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f1263,plain,
( spl5_119
| spl5_120
| ~ spl5_2
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f580,f546,f235,f1260,f1256]) ).
fof(f1256,plain,
( spl5_119
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f1260,plain,
( spl5_120
<=> sz00 = aDimensionOf0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f235,plain,
( spl5_2
<=> aVector0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f580,plain,
( sz00 = aDimensionOf0(xp)
| sP1(xp)
| ~ spl5_2
| ~ spl5_63 ),
inference(resolution,[],[f547,f237]) ).
fof(f237,plain,
( aVector0(xp)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f1250,plain,
( spl5_109
| spl5_107
| ~ spl5_4
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f579,f546,f245,f1175,f1186]) ).
fof(f1186,plain,
( spl5_109
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f579,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xt)
| ~ spl5_4
| ~ spl5_63 ),
inference(resolution,[],[f547,f247]) ).
fof(f247,plain,
( aVector0(xt)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1238,plain,
( spl5_118
| ~ spl5_39
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f490,f487,f431,f1236]) ).
fof(f1236,plain,
( spl5_118
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f431,plain,
( spl5_39
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f490,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl5_39
| ~ spl5_51 ),
inference(resolution,[],[f488,f432]) ).
fof(f432,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1234,plain,
( spl5_117
| ~ spl5_22
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f443,f435,f335,f1232]) ).
fof(f1232,plain,
( spl5_117
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f443,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_22
| ~ spl5_40 ),
inference(resolution,[],[f436,f336]) ).
fof(f1228,plain,
( ~ spl5_12
| spl5_116
| ~ spl5_26
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f539,f513,f367,f1225,f285]) ).
fof(f539,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB)
| ~ spl5_26
| ~ spl5_56 ),
inference(superposition,[],[f514,f369]) ).
fof(f1221,plain,
( ~ spl5_13
| spl5_115
| ~ spl5_27
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f538,f513,f372,f1218,f290]) ).
fof(f538,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA)
| ~ spl5_27
| ~ spl5_56 ),
inference(superposition,[],[f514,f374]) ).
fof(f1214,plain,
( ~ spl5_1
| spl5_114
| ~ spl5_29
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f537,f504,f382,f1211,f230]) ).
fof(f382,plain,
( spl5_29
<=> xD = sdtasasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f537,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq)
| ~ spl5_29
| ~ spl5_54 ),
inference(superposition,[],[f505,f384]) ).
fof(f384,plain,
( xD = sdtasasdt0(xq,xq)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f1207,plain,
( ~ spl5_2
| spl5_113
| ~ spl5_28
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f536,f504,f377,f1204,f235]) ).
fof(f377,plain,
( spl5_28
<=> xC = sdtasasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f536,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp)
| ~ spl5_28
| ~ spl5_54 ),
inference(superposition,[],[f505,f379]) ).
fof(f379,plain,
( xC = sdtasasdt0(xp,xp)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f1202,plain,
( ~ spl5_111
| spl5_112
| ~ spl5_21
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f492,f487,f330,f1199,f1195]) ).
fof(f492,plain,
( sP0(xs,xp)
| ~ sP1(xs)
| ~ spl5_21
| ~ spl5_51 ),
inference(superposition,[],[f488,f332]) ).
fof(f1193,plain,
( ~ spl5_109
| spl5_110
| ~ spl5_20
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f491,f487,f325,f1190,f1186]) ).
fof(f325,plain,
( spl5_20
<=> xq = sziznziztdt0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f491,plain,
( sP0(xt,xq)
| ~ sP1(xt)
| ~ spl5_20
| ~ spl5_51 ),
inference(superposition,[],[f488,f327]) ).
fof(f327,plain,
( xq = sziznziztdt0(xt)
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f1183,plain,
( ~ spl5_3
| spl5_108
| ~ spl5_23
| ~ spl5_38 ),
inference(avatar_split_clause,[],[f442,f427,f352,f1180,f240]) ).
fof(f1180,plain,
( spl5_108
<=> aNaturalNumber0(aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f442,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ spl5_23
| ~ spl5_38 ),
inference(superposition,[],[f428,f354]) ).
fof(f1178,plain,
( ~ spl5_107
| spl5_19
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f416,f352,f320,f1175]) ).
fof(f320,plain,
( spl5_19
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f416,plain,
( sz00 != aDimensionOf0(xt)
| spl5_19
| ~ spl5_23 ),
inference(superposition,[],[f322,f354]) ).
fof(f322,plain,
( sz00 != aDimensionOf0(xs)
| spl5_19 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f1163,plain,
( spl5_106
| ~ spl5_18
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f338,f335,f315,f1160]) ).
fof(f338,plain,
( sP2(sz0z00)
| ~ spl5_18
| ~ spl5_22 ),
inference(resolution,[],[f336,f317]) ).
fof(f1087,plain,
spl5_105,
inference(avatar_split_clause,[],[f203,f1085]) ).
fof(f203,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f1066,plain,
spl5_104,
inference(avatar_split_clause,[],[f222,f1064]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f1058,plain,
spl5_103,
inference(avatar_split_clause,[],[f227,f1056]) ).
fof(f227,plain,
! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(forward_demodulation,[],[f169,f136]) ).
fof(f136,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f169,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1652) ).
fof(f1027,plain,
spl5_102,
inference(avatar_split_clause,[],[f224,f1025]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f1022,plain,
spl5_101,
inference(avatar_split_clause,[],[f183,f1020]) ).
fof(f183,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f128,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1015,plain,
spl5_100,
inference(avatar_split_clause,[],[f223,f1013]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f999,plain,
spl5_99,
inference(avatar_split_clause,[],[f212,f997]) ).
fof(f997,plain,
( spl5_99
<=> ! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f995,plain,
spl5_98,
inference(avatar_split_clause,[],[f202,f993]) ).
fof(f202,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f950,plain,
spl5_97,
inference(avatar_split_clause,[],[f220,f948]) ).
fof(f220,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f946,plain,
spl5_96,
inference(avatar_split_clause,[],[f219,f944]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f907,plain,
spl5_95,
inference(avatar_split_clause,[],[f228,f905]) ).
fof(f905,plain,
( spl5_95
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f228,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f903,plain,
spl5_94,
inference(avatar_split_clause,[],[f217,f901]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f899,plain,
spl5_93,
inference(avatar_split_clause,[],[f215,f897]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f864,plain,
spl5_92,
inference(avatar_split_clause,[],[f221,f862]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f860,plain,
spl5_91,
inference(avatar_split_clause,[],[f214,f858]) ).
fof(f214,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f856,plain,
spl5_90,
inference(avatar_split_clause,[],[f213,f854]) ).
fof(f213,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f852,plain,
spl5_89,
inference(avatar_split_clause,[],[f182,f850]) ).
fof(f182,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f821,plain,
( spl5_88
| ~ spl5_5
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f350,f335,f250,f818]) ).
fof(f350,plain,
( sP2(xN)
| ~ spl5_5
| ~ spl5_22 ),
inference(resolution,[],[f336,f252]) ).
fof(f759,plain,
( spl5_84
| spl5_87 ),
inference(avatar_split_clause,[],[f218,f757,f666]) ).
fof(f666,plain,
( spl5_84
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f720,plain,
( spl5_86
| ~ spl5_10
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f349,f335,f275,f717]) ).
fof(f349,plain,
( sP2(xS)
| ~ spl5_10
| ~ spl5_22 ),
inference(resolution,[],[f336,f277]) ).
fof(f698,plain,
( ~ spl5_18
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl5_18
| ~ spl5_84 ),
inference(resolution,[],[f667,f317]) ).
fof(f667,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f697,plain,
( ~ spl5_13
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl5_13
| ~ spl5_84 ),
inference(resolution,[],[f667,f292]) ).
fof(f696,plain,
( ~ spl5_12
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl5_12
| ~ spl5_84 ),
inference(resolution,[],[f667,f287]) ).
fof(f695,plain,
( ~ spl5_8
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl5_8
| ~ spl5_84 ),
inference(resolution,[],[f667,f267]) ).
fof(f694,plain,
( ~ spl5_9
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl5_9
| ~ spl5_84 ),
inference(resolution,[],[f667,f272]) ).
fof(f693,plain,
( ~ spl5_15
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl5_15
| ~ spl5_84 ),
inference(resolution,[],[f667,f302]) ).
fof(f692,plain,
( ~ spl5_7
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| ~ spl5_7
| ~ spl5_84 ),
inference(resolution,[],[f667,f262]) ).
fof(f691,plain,
( ~ spl5_6
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f680,plain,
( $false
| ~ spl5_6
| ~ spl5_84 ),
inference(resolution,[],[f667,f257]) ).
fof(f690,plain,
( ~ spl5_16
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| ~ spl5_16
| ~ spl5_84 ),
inference(resolution,[],[f667,f307]) ).
fof(f689,plain,
( ~ spl5_11
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl5_11
| ~ spl5_84 ),
inference(resolution,[],[f667,f282]) ).
fof(f688,plain,
( ~ spl5_14
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl5_14
| ~ spl5_84 ),
inference(resolution,[],[f667,f297]) ).
fof(f687,plain,
( ~ spl5_10
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl5_10
| ~ spl5_84 ),
inference(resolution,[],[f667,f277]) ).
fof(f686,plain,
( ~ spl5_5
| ~ spl5_84 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl5_5
| ~ spl5_84 ),
inference(resolution,[],[f667,f252]) ).
fof(f671,plain,
( spl5_84
| spl5_85 ),
inference(avatar_split_clause,[],[f216,f669,f666]) ).
fof(f216,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f664,plain,
spl5_83,
inference(avatar_split_clause,[],[f211,f662]) ).
fof(f211,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f660,plain,
spl5_82,
inference(avatar_split_clause,[],[f209,f658]) ).
fof(f209,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f656,plain,
spl5_81,
inference(avatar_split_clause,[],[f208,f654]) ).
fof(f208,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f652,plain,
spl5_80,
inference(avatar_split_clause,[],[f207,f650]) ).
fof(f207,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f648,plain,
( spl5_79
| ~ spl5_14
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f348,f335,f295,f645]) ).
fof(f348,plain,
( sP2(xP)
| ~ spl5_14
| ~ spl5_22 ),
inference(resolution,[],[f336,f297]) ).
fof(f643,plain,
spl5_78,
inference(avatar_split_clause,[],[f201,f641]) ).
fof(f201,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f636,plain,
spl5_77,
inference(avatar_split_clause,[],[f199,f634]) ).
fof(f634,plain,
( spl5_77
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f199,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f632,plain,
spl5_76,
inference(avatar_split_clause,[],[f181,f630]) ).
fof(f181,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f620,plain,
spl5_75,
inference(avatar_split_clause,[],[f210,f618]) ).
fof(f210,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f616,plain,
spl5_74,
inference(avatar_split_clause,[],[f198,f614]) ).
fof(f198,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f79,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f611,plain,
( spl5_73
| ~ spl5_11
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f347,f335,f280,f608]) ).
fof(f347,plain,
( sP2(xR)
| ~ spl5_11
| ~ spl5_22 ),
inference(resolution,[],[f336,f282]) ).
fof(f604,plain,
spl5_72,
inference(avatar_split_clause,[],[f180,f602]) ).
fof(f180,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f600,plain,
spl5_71,
inference(avatar_split_clause,[],[f178,f598]) ).
fof(f598,plain,
( spl5_71
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f178,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f577,plain,
( spl5_70
| ~ spl5_16
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f346,f335,f305,f574]) ).
fof(f346,plain,
( sP2(xH)
| ~ spl5_16
| ~ spl5_22 ),
inference(resolution,[],[f336,f307]) ).
fof(f572,plain,
spl5_69,
inference(avatar_split_clause,[],[f206,f570]) ).
fof(f206,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f568,plain,
spl5_68,
inference(avatar_split_clause,[],[f205,f566]) ).
fof(f205,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f564,plain,
spl5_67,
inference(avatar_split_clause,[],[f200,f562]) ).
fof(f200,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f560,plain,
spl5_66,
inference(avatar_split_clause,[],[f197,f558]) ).
fof(f197,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f556,plain,
spl5_65,
inference(avatar_split_clause,[],[f193,f554]) ).
fof(f193,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f552,plain,
spl5_64,
inference(avatar_split_clause,[],[f192,f550]) ).
fof(f192,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f548,plain,
spl5_63,
inference(avatar_split_clause,[],[f184,f546]) ).
fof(f184,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f73,f121,f120]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f544,plain,
( spl5_62
| ~ spl5_6
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f345,f335,f255,f541]) ).
fof(f345,plain,
( sP2(xG)
| ~ spl5_6
| ~ spl5_22 ),
inference(resolution,[],[f336,f257]) ).
fof(f535,plain,
spl5_61,
inference(avatar_split_clause,[],[f194,f533]) ).
fof(f194,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f531,plain,
spl5_60,
inference(avatar_split_clause,[],[f191,f529]) ).
fof(f191,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f527,plain,
spl5_59,
inference(avatar_split_clause,[],[f190,f525]) ).
fof(f190,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f523,plain,
spl5_58,
inference(avatar_split_clause,[],[f189,f521]) ).
fof(f189,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f519,plain,
spl5_57,
inference(avatar_split_clause,[],[f188,f517]) ).
fof(f188,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f515,plain,
spl5_56,
inference(avatar_split_clause,[],[f187,f513]) ).
fof(f187,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f511,plain,
( spl5_55
| ~ spl5_7
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f344,f335,f260,f508]) ).
fof(f344,plain,
( sP2(xF)
| ~ spl5_7
| ~ spl5_22 ),
inference(resolution,[],[f336,f262]) ).
fof(f506,plain,
spl5_54,
inference(avatar_split_clause,[],[f176,f504]) ).
fof(f176,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f502,plain,
spl5_53,
inference(avatar_split_clause,[],[f138,f499]) ).
fof(f138,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
fof(f497,plain,
spl5_52,
inference(avatar_split_clause,[],[f137,f494]) ).
fof(f137,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1983) ).
fof(f489,plain,
spl5_51,
inference(avatar_split_clause,[],[f225,f487]) ).
fof(f225,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f484,plain,
( spl5_50
| ~ spl5_15
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f343,f335,f300,f481]) ).
fof(f343,plain,
( sP2(xE)
| ~ spl5_15
| ~ spl5_22 ),
inference(resolution,[],[f336,f302]) ).
fof(f479,plain,
( spl5_48
| spl5_49 ),
inference(avatar_split_clause,[],[f195,f476,f473]) ).
fof(f195,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f471,plain,
spl5_47,
inference(avatar_split_clause,[],[f174,f469]) ).
fof(f469,plain,
( spl5_47
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f174,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f467,plain,
spl5_46,
inference(avatar_split_clause,[],[f172,f465]) ).
fof(f465,plain,
( spl5_46
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f172,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f463,plain,
spl5_45,
inference(avatar_split_clause,[],[f226,f460]) ).
fof(f226,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xt)),
inference(forward_demodulation,[],[f162,f136]) ).
fof(f162,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f458,plain,
spl5_44,
inference(avatar_split_clause,[],[f160,f455]) ).
fof(f455,plain,
( spl5_44
<=> xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f160,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f453,plain,
~ spl5_43,
inference(avatar_split_clause,[],[f134,f450]) ).
fof(f134,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(flattening,[],[f59]) ).
fof(f59,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f448,plain,
( spl5_42
| ~ spl5_9
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f342,f335,f270,f445]) ).
fof(f342,plain,
( sP2(xD)
| ~ spl5_9
| ~ spl5_22 ),
inference(resolution,[],[f336,f272]) ).
fof(f441,plain,
spl5_41,
inference(avatar_split_clause,[],[f186,f439]) ).
fof(f186,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f437,plain,
spl5_40,
inference(avatar_split_clause,[],[f185,f435]) ).
fof(f185,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f433,plain,
spl5_39,
inference(avatar_split_clause,[],[f179,f431]) ).
fof(f179,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f429,plain,
spl5_38,
inference(avatar_split_clause,[],[f175,f427]) ).
fof(f175,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f425,plain,
spl5_37,
inference(avatar_split_clause,[],[f173,f423]) ).
fof(f173,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f421,plain,
( spl5_36
| ~ spl5_8
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f341,f335,f265,f418]) ).
fof(f341,plain,
( sP2(xC)
| ~ spl5_8
| ~ spl5_22 ),
inference(resolution,[],[f336,f267]) ).
fof(f415,plain,
( spl5_35
| ~ spl5_12
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f340,f335,f285,f412]) ).
fof(f340,plain,
( sP2(xB)
| ~ spl5_12
| ~ spl5_22 ),
inference(resolution,[],[f336,f287]) ).
fof(f410,plain,
spl5_34,
inference(avatar_split_clause,[],[f168,f407]) ).
fof(f168,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f405,plain,
spl5_33,
inference(avatar_split_clause,[],[f166,f402]) ).
fof(f402,plain,
( spl5_33
<=> xE = sdtasasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f166,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f400,plain,
spl5_32,
inference(avatar_split_clause,[],[f164,f397]) ).
fof(f164,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f395,plain,
spl5_31,
inference(avatar_split_clause,[],[f158,f392]) ).
fof(f158,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f390,plain,
spl5_30,
inference(avatar_split_clause,[],[f156,f387]) ).
fof(f156,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f385,plain,
spl5_29,
inference(avatar_split_clause,[],[f154,f382]) ).
fof(f154,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f380,plain,
spl5_28,
inference(avatar_split_clause,[],[f152,f377]) ).
fof(f152,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f375,plain,
spl5_27,
inference(avatar_split_clause,[],[f150,f372]) ).
fof(f150,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f370,plain,
spl5_26,
inference(avatar_split_clause,[],[f148,f367]) ).
fof(f148,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f365,plain,
spl5_25,
inference(avatar_split_clause,[],[f146,f362]) ).
fof(f146,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f360,plain,
( spl5_24
| ~ spl5_13
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f339,f335,f290,f357]) ).
fof(f339,plain,
( sP2(xA)
| ~ spl5_13
| ~ spl5_22 ),
inference(resolution,[],[f336,f292]) ).
fof(f355,plain,
spl5_23,
inference(avatar_split_clause,[],[f136,f352]) ).
fof(f337,plain,
spl5_22,
inference(avatar_split_clause,[],[f196,f335]) ).
fof(f196,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f77,f123]) ).
fof(f77,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f333,plain,
spl5_21,
inference(avatar_split_clause,[],[f142,f330]) ).
fof(f142,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f328,plain,
spl5_20,
inference(avatar_split_clause,[],[f140,f325]) ).
fof(f140,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f323,plain,
~ spl5_19,
inference(avatar_split_clause,[],[f135,f320]) ).
fof(f135,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(f318,plain,
spl5_18,
inference(avatar_split_clause,[],[f171,f315]) ).
fof(f171,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f313,plain,
spl5_17,
inference(avatar_split_clause,[],[f170,f310]) ).
fof(f310,plain,
( spl5_17
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f170,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f308,plain,
spl5_16,
inference(avatar_split_clause,[],[f167,f305]) ).
fof(f167,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f303,plain,
spl5_15,
inference(avatar_split_clause,[],[f165,f300]) ).
fof(f165,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f298,plain,
spl5_14,
inference(avatar_split_clause,[],[f163,f295]) ).
fof(f163,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f293,plain,
spl5_13,
inference(avatar_split_clause,[],[f161,f290]) ).
fof(f161,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
spl5_12,
inference(avatar_split_clause,[],[f159,f285]) ).
fof(f159,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f283,plain,
spl5_11,
inference(avatar_split_clause,[],[f157,f280]) ).
fof(f157,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f278,plain,
spl5_10,
inference(avatar_split_clause,[],[f155,f275]) ).
fof(f155,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f273,plain,
spl5_9,
inference(avatar_split_clause,[],[f153,f270]) ).
fof(f153,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f268,plain,
spl5_8,
inference(avatar_split_clause,[],[f151,f265]) ).
fof(f151,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f263,plain,
spl5_7,
inference(avatar_split_clause,[],[f149,f260]) ).
fof(f149,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f258,plain,
spl5_6,
inference(avatar_split_clause,[],[f147,f255]) ).
fof(f147,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f253,plain,
spl5_5,
inference(avatar_split_clause,[],[f145,f250]) ).
fof(f145,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f248,plain,
spl5_4,
inference(avatar_split_clause,[],[f144,f245]) ).
fof(f144,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f243,plain,
spl5_3,
inference(avatar_split_clause,[],[f143,f240]) ).
fof(f143,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f238,plain,
spl5_2,
inference(avatar_split_clause,[],[f141,f235]) ).
fof(f141,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f233,plain,
spl5_1,
inference(avatar_split_clause,[],[f139,f230]) ).
fof(f139,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n019.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 02:10:14 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (13253)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (13256)WARNING: value z3 for option sas not known
% 0.12/0.37 % (13256)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)
% 0.12/0.37 % (13257)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (13259)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)
% 0.12/0.37 % (13255)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37 % (13258)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)
% 0.12/0.37 % (13260)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)
% 0.12/0.37 % (13254)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.39 TRYING [3]
% 0.12/0.39 TRYING [3]
% 0.19/0.44 TRYING [4]
% 0.19/0.45 TRYING [4]
% 1.57/0.57 TRYING [5]
% 2.06/0.64 TRYING [5]
% 4.17/1.00 TRYING [6]
% 5.93/1.22 TRYING [6]
% 7.85/1.48 TRYING [1]
% 7.85/1.48 TRYING [2]
% 7.85/1.48 TRYING [3]
% 8.29/1.54 TRYING [4]
% 9.37/1.75 TRYING [5]
% 10.24/1.87 % (13258)First to succeed.
% 10.87/1.92 % (13258)Refutation found. Thanks to Tanya!
% 10.87/1.92 % SZS status Theorem for theBenchmark
% 10.87/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 10.87/1.96 % (13258)------------------------------
% 10.87/1.96 % (13258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.87/1.96 % (13258)Termination reason: Refutation
% 10.87/1.96
% 10.87/1.96 % (13258)Memory used [KB]: 23874
% 10.87/1.96 % (13258)Time elapsed: 1.546 s
% 10.87/1.96 % (13258)Instructions burned: 3158 (million)
% 10.87/1.96 % (13258)------------------------------
% 10.87/1.96 % (13258)------------------------------
% 10.87/1.96 % (13253)Success in time 1.58 s
%------------------------------------------------------------------------------