TSTP Solution File: RNG076+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 14:51:25 EDT 2024
% Result : Theorem 10.26s 1.87s
% Output : Refutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1182
% Syntax : Number of formulae : 4398 ( 143 unt; 0 def)
% Number of atoms : 15681 (3020 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 21200 (9917 ~;9956 |; 148 &)
% (1129 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1134 (1132 usr;1125 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 2485 (2477 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32020,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f344,f362,f367,f372,f377,f382,f387,f392,f397,f402,f407,f412,f417,f422,f428,f432,f436,f440,f444,f448,f455,f460,f465,f470,f475,f480,f487,f491,f495,f503,f508,f520,f525,f530,f534,f538,f542,f546,f550,f554,f558,f563,f571,f575,f579,f584,f588,f592,f596,f600,f614,f628,f632,f644,f648,f655,f660,f664,f676,f680,f691,f695,f699,f704,f708,f712,f719,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f772,f807,f902,f906,f910,f914,f944,f948,f959,f998,f1002,f1040,f1044,f1067,f1074,f1079,f1103,f1118,f1139,f1208,f1223,f1228,f1242,f1251,f1256,f1263,f1270,f1277,f1283,f1287,f1299,f1312,f1321,f1322,f1331,f1349,f1354,f1361,f1370,f1380,f1385,f1389,f1393,f1405,f1435,f1439,f1443,f1447,f1451,f1455,f1456,f1463,f1467,f1471,f1475,f1479,f1483,f1487,f1491,f1496,f1500,f1504,f1508,f1512,f1516,f1520,f1524,f1528,f1532,f1536,f1541,f1736,f1939,f2021,f2025,f2029,f2101,f2105,f2123,f2124,f2125,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2313,f2467,f2609,f2804,f3008,f3111,f3176,f3180,f3184,f3189,f3193,f3197,f3201,f3205,f3209,f3213,f3217,f3221,f3225,f3229,f3234,f3238,f3242,f3246,f3250,f3254,f3258,f3262,f3266,f3270,f3274,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3307,f3311,f3315,f3319,f3324,f3328,f3332,f3336,f3340,f3344,f3348,f3352,f3387,f3636,f3909,f4168,f4353,f4358,f4363,f4368,f4372,f4440,f4462,f4463,f4588,f4598,f4605,f4609,f4738,f4749,f4756,f4763,f4768,f4774,f4778,f4782,f4786,f4850,f4855,f4859,f4863,f4870,f4877,f4884,f4912,f4916,f4920,f4924,f4928,f4932,f4936,f4940,f4951,f4955,f4959,f4963,f4967,f4971,f4975,f4979,f4983,f4987,f4992,f4996,f5000,f5004,f5008,f5012,f5016,f5020,f5115,f5404,f5692,f5730,f5734,f5738,f5742,f5746,f5750,f5947,f5958,f5962,f5966,f5970,f5974,f5983,f5987,f5991,f5995,f5999,f6003,f6007,f6011,f6015,f6019,f6028,f6032,f6036,f6040,f6044,f6048,f6052,f6056,f6060,f6382,f6771,f6775,f6779,f6783,f6787,f6791,f6795,f6796,f6800,f6968,f7207,f7217,f7229,f7241,f7249,f7259,f7263,f7267,f7271,f7275,f7279,f7283,f7287,f7291,f7292,f7525,f7529,f7967,f7972,f7989,f8010,f8014,f8034,f8067,f8076,f8098,f8103,f8125,f8145,f8165,f8185,f8205,f8224,f8252,f8256,f8260,f8264,f8268,f8272,f8385,f8389,f8393,f8397,f8425,f8475,f8483,f8504,f8535,f8540,f8553,f8557,f8561,f8616,f8631,f8636,f8655,f8659,f8666,f8670,f8674,f8678,f8682,f8687,f8691,f8695,f8699,f8703,f8707,f8711,f8715,f9149,f9214,f9218,f9259,f9275,f9323,f9345,f9349,f9353,f9471,f9483,f9510,f9515,f9520,f9525,f9530,f9535,f9540,f9545,f9550,f9555,f9560,f9565,f9570,f9575,f9580,f9585,f9590,f9595,f9600,f9605,f9610,f9615,f9620,f9625,f9630,f9635,f9641,f9647,f9652,f9657,f9662,f9667,f9672,f9677,f9682,f9687,f9692,f9697,f9702,f9707,f9712,f9717,f9722,f9727,f9732,f9737,f9742,f9747,f9752,f9757,f9762,f9767,f9772,f9777,f9783,f9788,f9884,f10503,f10509,f10536,f10538,f10819,f10825,f10852,f10858,f10884,f10888,f10893,f10898,f10903,f10908,f10913,f10918,f10923,f10928,f10948,f10953,f10958,f10963,f10968,f10973,f10978,f10983,f10988,f10993,f11000,f11005,f11010,f11015,f11020,f11025,f11030,f11035,f11040,f11045,f11050,f11055,f11060,f11065,f11070,f11075,f11080,f11085,f11090,f11094,f11098,f11103,f11108,f11113,f11118,f11123,f11128,f11133,f11138,f11143,f11148,f11153,f11158,f11163,f11168,f11173,f11178,f11183,f11188,f11193,f11198,f11203,f11208,f11213,f11218,f11223,f11228,f11233,f11238,f11243,f11248,f11253,f11258,f11263,f11268,f11273,f11278,f11283,f11288,f11293,f11298,f11302,f11306,f11361,f12704,f12879,f12883,f12887,f12891,f12896,f12900,f12904,f12908,f12912,f12916,f12920,f12924,f12928,f12932,f12936,f12941,f12945,f12949,f12953,f12957,f13139,f13520,f13662,f13993,f14003,f14126,f14454,f14577,f14585,f14943,f14979,f15008,f15037,f15048,f15052,f15056,f15060,f15088,f15092,f15096,f15100,f15104,f15108,f15112,f15116,f15120,f15124,f15129,f15133,f15137,f15141,f15145,f15149,f15153,f15157,f15161,f15165,f15169,f15174,f15178,f15182,f15186,f15190,f15194,f15198,f15202,f15206,f15210,f15214,f15219,f15223,f15227,f15231,f15235,f15239,f15243,f15247,f15251,f15255,f15259,f15264,f15268,f15272,f15276,f15280,f15284,f15288,f15292,f15296,f15373,f15738,f16103,f16460,f16815,f17299,f17303,f17307,f17311,f17315,f17319,f17323,f17327,f17331,f17335,f17339,f17344,f17348,f17352,f17356,f17360,f17364,f17368,f17372,f17376,f17380,f17384,f17389,f17393,f17397,f17401,f17405,f17409,f17413,f17417,f17421,f17425,f17429,f17434,f17438,f17442,f17446,f17450,f17454,f17458,f17462,f17466,f17470,f17474,f17479,f17483,f17487,f17491,f17495,f17499,f17503,f17507,f17511,f17515,f17519,f17524,f17528,f17532,f17536,f17540,f17544,f17548,f17552,f17556,f17560,f17564,f17569,f17574,f17579,f17584,f17589,f17594,f17599,f17604,f17609,f17614,f17619,f17624,f17629,f17634,f17639,f17644,f17649,f17654,f17659,f17664,f17669,f17674,f17679,f17684,f17689,f17694,f17699,f17704,f17710,f17716,f17721,f17726,f17731,f17736,f17741,f17746,f17751,f17756,f17761,f17766,f17771,f17776,f17781,f17786,f17791,f17796,f17801,f17806,f17811,f17816,f17821,f17826,f17831,f17836,f17841,f17846,f17851,f17857,f18211,f19783,f20295,f20713,f20865,f21030,f21195,f21320,f21525,f21530,f21536,f21565,f21571,f21577,f21606,f21612,f21617,f21622,f21627,f21632,f21637,f21642,f21647,f21652,f21657,f21662,f21667,f21672,f21677,f21682,f21687,f21692,f21697,f21702,f21707,f21712,f21717,f21722,f21727,f21732,f21737,f21742,f21747,f21752,f21757,f21762,f21767,f21772,f21777,f21782,f21787,f21792,f21797,f21802,f21807,f21812,f21817,f21822,f21827,f21862,f21917,f21922,f21927,f21932,f21939,f21974,f22141,f22307,f22473,f22639,f22804,f22959,f22964,f22969,f22974,f23043,f23047,f23051,f23055,f23060,f23065,f23070,f23075,f23080,f23085,f23090,f23095,f23100,f23105,f23110,f23115,f23120,f23125,f23130,f23135,f23140,f23145,f23150,f23155,f23160,f23165,f23170,f23175,f23180,f23185,f23190,f23195,f23200,f23205,f23210,f23215,f23220,f23225,f23230,f23235,f23240,f23245,f23250,f23255,f23259,f23263,f23267,f23271,f23275,f23279,f23283,f23311,f23315,f23319,f23323,f23327,f23331,f23335,f23339,f23343,f23347,f23375,f23380,f23385,f23390,f23395,f23400,f23405,f23410,f23415,f23420,f23449,f23454,f23459,f23464,f23469,f23474,f23479,f23484,f23489,f23494,f23523,f23528,f23533,f23538,f23543,f23548,f23553,f23558,f23563,f23568,f23597,f23602,f23607,f23612,f23617,f23622,f23627,f23631,f24167,f24372,f24604,f24948,f25197,f25402,f25607,f25812,f25910,f25914,f25918,f25922,f25926,f25930,f25934,f25962,f25966,f25970,f25974,f25978,f25982,f25986,f25990,f26062,f26431,f26591,f26596,f26601,f26606,f26611,f26616,f26621,f26626,f26631,f26636,f26641,f26646,f26651,f26656,f26661,f26666,f26671,f26676,f26681,f26686,f26691,f26696,f26701,f26706,f26711,f26716,f26721,f26726,f26731,f26736,f26741,f26746,f26751,f26756,f26761,f26766,f26771,f26776,f26781,f26786,f26791,f26796,f26801,f26806,f26811,f26816,f26821,f26826,f26831,f26836,f26841,f26846,f26851,f26856,f26861,f26866,f27391,f27946,f28051,f28156,f28607,f28780,f28786,f28791,f28796,f28809,f28814,f28872,f28877,f28937,f28941,f28945,f28950,f28954,f28958,f28962,f28966,f28970,f28974,f28978,f28982,f28986,f28990,f28995,f28999,f29003,f29007,f29011,f29015,f29019,f29023,f29027,f29031,f29035,f29040,f29044,f29048,f29052,f29057,f29093,f29098,f29160,f29164,f29169,f29173,f29177,f29181,f29185,f29189,f29193,f29197,f29202,f29260,f29289,f29350,f29354,f29358,f29362,f29366,f29370,f29374,f29378,f29406,f29410,f29414,f29418,f29422,f29426,f29430,f29434,f29438,f29442,f29470,f29474,f29478,f29482,f29486,f29490,f29494,f29498,f29503,f29564,f29569,f29633,f31891,f31904,f31908,f32018,f32019]) ).
fof(f32019,plain,
( ~ spl5_320
| ~ spl5_41
| spl5_1121 ),
inference(avatar_split_clause,[],[f31895,f31888,f446,f6379]) ).
fof(f6379,plain,
( spl5_320
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_320])]) ).
fof(f446,plain,
( spl5_41
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f31888,plain,
( spl5_1121
<=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1121])]) ).
fof(f31895,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl5_41
| spl5_1121 ),
inference(resolution,[],[f31890,f447]) ).
fof(f447,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f31890,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| spl5_1121 ),
inference(avatar_component_clause,[],[f31888]) ).
fof(f32018,plain,
( spl5_1124
| ~ spl5_97
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7299,f4429,f942,f32016]) ).
fof(f32016,plain,
( spl5_1124
<=> ! [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_1124])]) ).
fof(f942,plain,
( spl5_97
<=> ! [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_97])]) ).
fof(f4429,plain,
( spl5_232
<=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_232])]) ).
fof(f7299,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_97
| ~ spl5_232 ),
inference(resolution,[],[f4430,f943]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f4430,plain,
( aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_232 ),
inference(avatar_component_clause,[],[f4429]) ).
fof(f31908,plain,
( spl5_1123
| ~ spl5_230
| ~ spl5_363 ),
inference(avatar_split_clause,[],[f8231,f8222,f4421,f31906]) ).
fof(f31906,plain,
( spl5_1123
<=> ! [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_1123])]) ).
fof(f4421,plain,
( spl5_230
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_230])]) ).
fof(f8222,plain,
( spl5_363
<=> ! [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_363])]) ).
fof(f8231,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_230
| ~ spl5_363 ),
inference(resolution,[],[f8223,f4422]) ).
fof(f4422,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl5_230 ),
inference(avatar_component_clause,[],[f4421]) ).
fof(f8223,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_363 ),
inference(avatar_component_clause,[],[f8222]) ).
fof(f31904,plain,
( spl5_1122
| ~ spl5_231
| ~ spl5_363 ),
inference(avatar_split_clause,[],[f8230,f8222,f4425,f31902]) ).
fof(f31902,plain,
( spl5_1122
<=> ! [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_1122])]) ).
fof(f4425,plain,
( spl5_231
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_231])]) ).
fof(f8230,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_231
| ~ spl5_363 ),
inference(resolution,[],[f8223,f4426]) ).
fof(f4426,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl5_231 ),
inference(avatar_component_clause,[],[f4425]) ).
fof(f31891,plain,
( ~ spl5_319
| ~ spl5_346
| ~ spl5_320
| ~ spl5_54
| ~ spl5_1121
| ~ spl5_104
| spl5_234 ),
inference(avatar_split_clause,[],[f4449,f4437,f1065,f31888,f517,f6379,f7961,f6375]) ).
fof(f6375,plain,
( spl5_319
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_319])]) ).
fof(f7961,plain,
( spl5_346
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_346])]) ).
fof(f517,plain,
( spl5_54
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f1065,plain,
( spl5_104
<=> ! [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_104])]) ).
fof(f4437,plain,
( spl5_234
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_234])]) ).
fof(f4449,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_104
| spl5_234 ),
inference(duplicate_literal_removal,[],[f4446]) ).
fof(f4446,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_104
| spl5_234 ),
inference(resolution,[],[f4439,f1066]) ).
fof(f1066,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_104 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f4439,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl5_234 ),
inference(avatar_component_clause,[],[f4437]) ).
fof(f29633,plain,
( spl5_1120
| ~ spl5_167
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_579 ),
inference(avatar_split_clause,[],[f14781,f12947,f11092,f4451,f4433,f2023,f29630]) ).
fof(f29630,plain,
( spl5_1120
<=> 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_1120])]) ).
fof(f2023,plain,
( spl5_167
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f4433,plain,
( spl5_233
<=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_233])]) ).
fof(f4451,plain,
( spl5_235
<=> aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_235])]) ).
fof(f11092,plain,
( spl5_516
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_516])]) ).
fof(f12947,plain,
( spl5_579
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_579])]) ).
fof(f14781,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_167
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_579 ),
inference(forward_demodulation,[],[f14621,f14446]) ).
fof(f14446,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_233
| ~ spl5_516
| ~ spl5_579 ),
inference(forward_demodulation,[],[f14319,f14300]) ).
fof(f14300,plain,
( sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sdtasdt0(xC,xD))
| ~ spl5_233
| ~ spl5_516 ),
inference(resolution,[],[f4434,f11093]) ).
fof(f11093,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_516 ),
inference(avatar_component_clause,[],[f11092]) ).
fof(f4434,plain,
( aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_233 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f14319,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_233
| ~ spl5_579 ),
inference(resolution,[],[f4434,f12948]) ).
fof(f12948,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) )
| ~ spl5_579 ),
inference(avatar_component_clause,[],[f12947]) ).
fof(f14621,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_167
| ~ spl5_235 ),
inference(resolution,[],[f4452,f2024]) ).
fof(f2024,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_167 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f4452,plain,
( aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_235 ),
inference(avatar_component_clause,[],[f4451]) ).
fof(f29569,plain,
( spl5_1119
| ~ spl5_62
| ~ spl5_588
| ~ spl5_1118 ),
inference(avatar_split_clause,[],[f29565,f29562,f14574,f552,f29567]) ).
fof(f29567,plain,
( spl5_1119
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1119])]) ).
fof(f552,plain,
( spl5_62
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f14574,plain,
( spl5_588
<=> sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_588])]) ).
fof(f29562,plain,
( spl5_1118
<=> ! [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_1118])]) ).
fof(f29565,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_62
| ~ spl5_588
| ~ spl5_1118 ),
inference(forward_demodulation,[],[f29563,f14581]) ).
fof(f14581,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_62
| ~ spl5_588 ),
inference(resolution,[],[f14576,f553]) ).
fof(f553,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f14576,plain,
( sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_588 ),
inference(avatar_component_clause,[],[f14574]) ).
fof(f29563,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_1118 ),
inference(avatar_component_clause,[],[f29562]) ).
fof(f29564,plain,
( spl5_1118
| ~ spl5_168
| ~ spl5_233
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f14387,f5748,f4433,f2027,f29562]) ).
fof(f2027,plain,
( spl5_168
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f5748,plain,
( spl5_293
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_293])]) ).
fof(f14387,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_168
| ~ spl5_233
| ~ spl5_293 ),
inference(forward_demodulation,[],[f14233,f14163]) ).
fof(f14163,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_168
| ~ spl5_233 ),
inference(resolution,[],[f4434,f2028]) ).
fof(f2028,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_168 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f14233,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_233
| ~ spl5_293 ),
inference(resolution,[],[f4434,f5749]) ).
fof(f5749,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_293 ),
inference(avatar_component_clause,[],[f5748]) ).
fof(f29503,plain,
( spl5_1117
| ~ spl5_60
| ~ spl5_588
| ~ spl5_1116 ),
inference(avatar_split_clause,[],[f29499,f29496,f14574,f544,f29501]) ).
fof(f29501,plain,
( spl5_1117
<=> ! [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_1117])]) ).
fof(f544,plain,
( spl5_60
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f29496,plain,
( spl5_1116
<=> ! [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_1116])]) ).
fof(f29499,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_60
| ~ spl5_588
| ~ spl5_1116 ),
inference(forward_demodulation,[],[f29497,f14579]) ).
fof(f14579,plain,
( sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_60
| ~ spl5_588 ),
inference(resolution,[],[f14576,f545]) ).
fof(f545,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f29497,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_1116 ),
inference(avatar_component_clause,[],[f29496]) ).
fof(f29498,plain,
( spl5_1116
| ~ spl5_167
| ~ spl5_233
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f14386,f5744,f4433,f2023,f29496]) ).
fof(f5744,plain,
( spl5_292
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_292])]) ).
fof(f14386,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_167
| ~ spl5_233
| ~ spl5_292 ),
inference(forward_demodulation,[],[f14232,f14162]) ).
fof(f14162,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_167
| ~ spl5_233 ),
inference(resolution,[],[f4434,f2024]) ).
fof(f14232,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_233
| ~ spl5_292 ),
inference(resolution,[],[f4434,f5745]) ).
fof(f5745,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_292 ),
inference(avatar_component_clause,[],[f5744]) ).
fof(f29494,plain,
( spl5_1115
| ~ spl5_162
| ~ spl5_233
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f14385,f5018,f4433,f1534,f29492]) ).
fof(f29492,plain,
( spl5_1115
<=> ! [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_1115])]) ).
fof(f1534,plain,
( spl5_162
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f5018,plain,
( spl5_284
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_284])]) ).
fof(f14385,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_162
| ~ spl5_233
| ~ spl5_284 ),
inference(forward_demodulation,[],[f14228,f14161]) ).
fof(f14161,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_162
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1535]) ).
fof(f1535,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) )
| ~ spl5_162 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f14228,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_233
| ~ spl5_284 ),
inference(resolution,[],[f4434,f5019]) ).
fof(f5019,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_284 ),
inference(avatar_component_clause,[],[f5018]) ).
fof(f29490,plain,
( spl5_1114
| ~ spl5_161
| ~ spl5_233
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f14384,f5014,f4433,f1530,f29488]) ).
fof(f29488,plain,
( spl5_1114
<=> ! [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_1114])]) ).
fof(f1530,plain,
( spl5_161
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f5014,plain,
( spl5_283
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_283])]) ).
fof(f14384,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_161
| ~ spl5_233
| ~ spl5_283 ),
inference(forward_demodulation,[],[f14227,f14160]) ).
fof(f14160,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_161
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1531]) ).
fof(f1531,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_161 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f14227,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_233
| ~ spl5_283 ),
inference(resolution,[],[f4434,f5015]) ).
fof(f5015,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_283 ),
inference(avatar_component_clause,[],[f5014]) ).
fof(f29486,plain,
( spl5_1113
| ~ spl5_160
| ~ spl5_233
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f14383,f5010,f4433,f1526,f29484]) ).
fof(f29484,plain,
( spl5_1113
<=> ! [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_1113])]) ).
fof(f1526,plain,
( spl5_160
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f5010,plain,
( spl5_282
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_282])]) ).
fof(f14383,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_160
| ~ spl5_233
| ~ spl5_282 ),
inference(forward_demodulation,[],[f14226,f14159]) ).
fof(f14159,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_160
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1527]) ).
fof(f1527,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_160 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f14226,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_233
| ~ spl5_282 ),
inference(resolution,[],[f4434,f5011]) ).
fof(f5011,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_282 ),
inference(avatar_component_clause,[],[f5010]) ).
fof(f29482,plain,
( spl5_1112
| ~ spl5_159
| ~ spl5_233
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f14382,f5006,f4433,f1522,f29480]) ).
fof(f29480,plain,
( spl5_1112
<=> ! [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_1112])]) ).
fof(f1522,plain,
( spl5_159
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f5006,plain,
( spl5_281
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_281])]) ).
fof(f14382,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_159
| ~ spl5_233
| ~ spl5_281 ),
inference(forward_demodulation,[],[f14225,f14158]) ).
fof(f14158,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_159
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1523]) ).
fof(f1523,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_159 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f14225,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_233
| ~ spl5_281 ),
inference(resolution,[],[f4434,f5007]) ).
fof(f5007,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_281 ),
inference(avatar_component_clause,[],[f5006]) ).
fof(f29478,plain,
( spl5_1111
| ~ spl5_158
| ~ spl5_233
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f14381,f5002,f4433,f1518,f29476]) ).
fof(f29476,plain,
( spl5_1111
<=> ! [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_1111])]) ).
fof(f1518,plain,
( spl5_158
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f5002,plain,
( spl5_280
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_280])]) ).
fof(f14381,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_158
| ~ spl5_233
| ~ spl5_280 ),
inference(forward_demodulation,[],[f14224,f14157]) ).
fof(f14157,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_158
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1519]) ).
fof(f1519,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_158 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f14224,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_233
| ~ spl5_280 ),
inference(resolution,[],[f4434,f5003]) ).
fof(f5003,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_280 ),
inference(avatar_component_clause,[],[f5002]) ).
fof(f29474,plain,
( spl5_1110
| ~ spl5_157
| ~ spl5_233
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f14380,f4998,f4433,f1514,f29472]) ).
fof(f29472,plain,
( spl5_1110
<=> ! [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_1110])]) ).
fof(f1514,plain,
( spl5_157
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f4998,plain,
( spl5_279
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_279])]) ).
fof(f14380,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_157
| ~ spl5_233
| ~ spl5_279 ),
inference(forward_demodulation,[],[f14223,f14156]) ).
fof(f14156,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_157
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1515]) ).
fof(f1515,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_157 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f14223,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_233
| ~ spl5_279 ),
inference(resolution,[],[f4434,f4999]) ).
fof(f4999,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_279 ),
inference(avatar_component_clause,[],[f4998]) ).
fof(f29470,plain,
( spl5_1109
| ~ spl5_156
| ~ spl5_233
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f14379,f4994,f4433,f1510,f29468]) ).
fof(f29468,plain,
( spl5_1109
<=> ! [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_1109])]) ).
fof(f1510,plain,
( spl5_156
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f4994,plain,
( spl5_278
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_278])]) ).
fof(f14379,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_156
| ~ spl5_233
| ~ spl5_278 ),
inference(forward_demodulation,[],[f14222,f14155]) ).
fof(f14155,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_156
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1511]) ).
fof(f1511,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_156 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f14222,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_233
| ~ spl5_278 ),
inference(resolution,[],[f4434,f4995]) ).
fof(f4995,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_278 ),
inference(avatar_component_clause,[],[f4994]) ).
fof(f29442,plain,
( spl5_1108
| ~ spl5_155
| ~ spl5_233
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f14378,f4985,f4433,f1506,f29440]) ).
fof(f29440,plain,
( spl5_1108
<=> ! [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_1108])]) ).
fof(f1506,plain,
( spl5_155
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f4985,plain,
( spl5_276
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_276])]) ).
fof(f14378,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_155
| ~ spl5_233
| ~ spl5_276 ),
inference(forward_demodulation,[],[f14221,f14154]) ).
fof(f14154,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_155
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1507]) ).
fof(f1507,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_155 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f14221,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_233
| ~ spl5_276 ),
inference(resolution,[],[f4434,f4986]) ).
fof(f4986,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_276 ),
inference(avatar_component_clause,[],[f4985]) ).
fof(f29438,plain,
( spl5_1107
| ~ spl5_154
| ~ spl5_233
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f14377,f4981,f4433,f1502,f29436]) ).
fof(f29436,plain,
( spl5_1107
<=> ! [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_1107])]) ).
fof(f1502,plain,
( spl5_154
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f4981,plain,
( spl5_275
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_275])]) ).
fof(f14377,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_154
| ~ spl5_233
| ~ spl5_275 ),
inference(forward_demodulation,[],[f14220,f14153]) ).
fof(f14153,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_154
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1503]) ).
fof(f1503,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_154 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f14220,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_233
| ~ spl5_275 ),
inference(resolution,[],[f4434,f4982]) ).
fof(f4982,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_275 ),
inference(avatar_component_clause,[],[f4981]) ).
fof(f29434,plain,
( spl5_1106
| ~ spl5_153
| ~ spl5_233
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f14376,f4977,f4433,f1498,f29432]) ).
fof(f29432,plain,
( spl5_1106
<=> ! [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_1106])]) ).
fof(f1498,plain,
( spl5_153
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f4977,plain,
( spl5_274
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_274])]) ).
fof(f14376,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_153
| ~ spl5_233
| ~ spl5_274 ),
inference(forward_demodulation,[],[f14219,f14152]) ).
fof(f14152,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_153
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1499]) ).
fof(f1499,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_153 ),
inference(avatar_component_clause,[],[f1498]) ).
fof(f14219,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_233
| ~ spl5_274 ),
inference(resolution,[],[f4434,f4978]) ).
fof(f4978,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_274 ),
inference(avatar_component_clause,[],[f4977]) ).
fof(f29430,plain,
( spl5_1105
| ~ spl5_151
| ~ spl5_233
| ~ spl5_273 ),
inference(avatar_split_clause,[],[f14375,f4973,f4433,f1489,f29428]) ).
fof(f29428,plain,
( spl5_1105
<=> ! [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_1105])]) ).
fof(f1489,plain,
( spl5_151
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f4973,plain,
( spl5_273
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_273])]) ).
fof(f14375,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_151
| ~ spl5_233
| ~ spl5_273 ),
inference(forward_demodulation,[],[f14218,f14151]) ).
fof(f14151,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_151
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1490]) ).
fof(f1490,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_151 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f14218,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_233
| ~ spl5_273 ),
inference(resolution,[],[f4434,f4974]) ).
fof(f4974,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_273 ),
inference(avatar_component_clause,[],[f4973]) ).
fof(f29426,plain,
( spl5_1104
| ~ spl5_150
| ~ spl5_233
| ~ spl5_272 ),
inference(avatar_split_clause,[],[f14374,f4969,f4433,f1485,f29424]) ).
fof(f29424,plain,
( spl5_1104
<=> ! [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_1104])]) ).
fof(f1485,plain,
( spl5_150
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f4969,plain,
( spl5_272
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_272])]) ).
fof(f14374,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_150
| ~ spl5_233
| ~ spl5_272 ),
inference(forward_demodulation,[],[f14217,f14150]) ).
fof(f14150,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_150
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1486]) ).
fof(f1486,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_150 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f14217,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_233
| ~ spl5_272 ),
inference(resolution,[],[f4434,f4970]) ).
fof(f4970,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_272 ),
inference(avatar_component_clause,[],[f4969]) ).
fof(f29422,plain,
( spl5_1103
| ~ spl5_149
| ~ spl5_233
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f14373,f4965,f4433,f1481,f29420]) ).
fof(f29420,plain,
( spl5_1103
<=> ! [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_1103])]) ).
fof(f1481,plain,
( spl5_149
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f4965,plain,
( spl5_271
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_271])]) ).
fof(f14373,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_149
| ~ spl5_233
| ~ spl5_271 ),
inference(forward_demodulation,[],[f14216,f14149]) ).
fof(f14149,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_149
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1482]) ).
fof(f1482,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) )
| ~ spl5_149 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f14216,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_233
| ~ spl5_271 ),
inference(resolution,[],[f4434,f4966]) ).
fof(f4966,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_271 ),
inference(avatar_component_clause,[],[f4965]) ).
fof(f29418,plain,
( spl5_1102
| ~ spl5_148
| ~ spl5_233
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f14372,f4961,f4433,f1477,f29416]) ).
fof(f29416,plain,
( spl5_1102
<=> ! [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_1102])]) ).
fof(f1477,plain,
( spl5_148
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f4961,plain,
( spl5_270
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_270])]) ).
fof(f14372,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_148
| ~ spl5_233
| ~ spl5_270 ),
inference(forward_demodulation,[],[f14215,f14148]) ).
fof(f14148,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_148
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1478]) ).
fof(f1478,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_148 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f14215,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_233
| ~ spl5_270 ),
inference(resolution,[],[f4434,f4962]) ).
fof(f4962,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_270 ),
inference(avatar_component_clause,[],[f4961]) ).
fof(f29414,plain,
( spl5_1101
| ~ spl5_147
| ~ spl5_233
| ~ spl5_269 ),
inference(avatar_split_clause,[],[f14371,f4957,f4433,f1473,f29412]) ).
fof(f29412,plain,
( spl5_1101
<=> ! [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_1101])]) ).
fof(f1473,plain,
( spl5_147
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f4957,plain,
( spl5_269
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_269])]) ).
fof(f14371,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_147
| ~ spl5_233
| ~ spl5_269 ),
inference(forward_demodulation,[],[f14214,f14147]) ).
fof(f14147,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_147
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1474]) ).
fof(f1474,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_147 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f14214,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_233
| ~ spl5_269 ),
inference(resolution,[],[f4434,f4958]) ).
fof(f4958,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_269 ),
inference(avatar_component_clause,[],[f4957]) ).
fof(f29410,plain,
( spl5_1100
| ~ spl5_146
| ~ spl5_233
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f14370,f4953,f4433,f1469,f29408]) ).
fof(f29408,plain,
( spl5_1100
<=> ! [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_1100])]) ).
fof(f1469,plain,
( spl5_146
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f4953,plain,
( spl5_268
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_268])]) ).
fof(f14370,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_146
| ~ spl5_233
| ~ spl5_268 ),
inference(forward_demodulation,[],[f14213,f14146]) ).
fof(f14146,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_146
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1470]) ).
fof(f1470,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_146 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f14213,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_233
| ~ spl5_268 ),
inference(resolution,[],[f4434,f4954]) ).
fof(f4954,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_268 ),
inference(avatar_component_clause,[],[f4953]) ).
fof(f29406,plain,
( spl5_1099
| ~ spl5_145
| ~ spl5_233
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f14369,f4949,f4433,f1465,f29404]) ).
fof(f29404,plain,
( spl5_1099
<=> ! [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_1099])]) ).
fof(f1465,plain,
( spl5_145
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f4949,plain,
( spl5_267
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_267])]) ).
fof(f14369,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_145
| ~ spl5_233
| ~ spl5_267 ),
inference(forward_demodulation,[],[f14212,f14145]) ).
fof(f14145,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_145
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1466]) ).
fof(f1466,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_145 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f14212,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_233
| ~ spl5_267 ),
inference(resolution,[],[f4434,f4950]) ).
fof(f4950,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_267 ),
inference(avatar_component_clause,[],[f4949]) ).
fof(f29378,plain,
( spl5_1098
| ~ spl5_144
| ~ spl5_233
| ~ spl5_266 ),
inference(avatar_split_clause,[],[f14368,f4938,f4433,f1461,f29376]) ).
fof(f29376,plain,
( spl5_1098
<=> ! [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_1098])]) ).
fof(f1461,plain,
( spl5_144
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f4938,plain,
( spl5_266
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_266])]) ).
fof(f14368,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_144
| ~ spl5_233
| ~ spl5_266 ),
inference(forward_demodulation,[],[f14211,f14144]) ).
fof(f14144,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_144
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1462]) ).
fof(f1462,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_144 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f14211,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_233
| ~ spl5_266 ),
inference(resolution,[],[f4434,f4939]) ).
fof(f4939,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_266 ),
inference(avatar_component_clause,[],[f4938]) ).
fof(f29374,plain,
( spl5_1097
| ~ spl5_143
| ~ spl5_233
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f14367,f4934,f4433,f1453,f29372]) ).
fof(f29372,plain,
( spl5_1097
<=> ! [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_1097])]) ).
fof(f1453,plain,
( spl5_143
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f4934,plain,
( spl5_265
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_265])]) ).
fof(f14367,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_143
| ~ spl5_233
| ~ spl5_265 ),
inference(forward_demodulation,[],[f14210,f14143]) ).
fof(f14143,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_143
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1454]) ).
fof(f1454,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_143 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f14210,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_233
| ~ spl5_265 ),
inference(resolution,[],[f4434,f4935]) ).
fof(f4935,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_265 ),
inference(avatar_component_clause,[],[f4934]) ).
fof(f29370,plain,
( spl5_1096
| ~ spl5_142
| ~ spl5_233
| ~ spl5_264 ),
inference(avatar_split_clause,[],[f14366,f4930,f4433,f1449,f29368]) ).
fof(f29368,plain,
( spl5_1096
<=> ! [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_1096])]) ).
fof(f1449,plain,
( spl5_142
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f4930,plain,
( spl5_264
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_264])]) ).
fof(f14366,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_142
| ~ spl5_233
| ~ spl5_264 ),
inference(forward_demodulation,[],[f14209,f14142]) ).
fof(f14142,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_142
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1450]) ).
fof(f1450,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_142 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f14209,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_233
| ~ spl5_264 ),
inference(resolution,[],[f4434,f4931]) ).
fof(f4931,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_264 ),
inference(avatar_component_clause,[],[f4930]) ).
fof(f29366,plain,
( spl5_1095
| ~ spl5_141
| ~ spl5_233
| ~ spl5_263 ),
inference(avatar_split_clause,[],[f14365,f4926,f4433,f1445,f29364]) ).
fof(f29364,plain,
( spl5_1095
<=> ! [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_1095])]) ).
fof(f1445,plain,
( spl5_141
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f4926,plain,
( spl5_263
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_263])]) ).
fof(f14365,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_141
| ~ spl5_233
| ~ spl5_263 ),
inference(forward_demodulation,[],[f14208,f14141]) ).
fof(f14141,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_141
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1446]) ).
fof(f1446,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_141 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f14208,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_233
| ~ spl5_263 ),
inference(resolution,[],[f4434,f4927]) ).
fof(f4927,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_263 ),
inference(avatar_component_clause,[],[f4926]) ).
fof(f29362,plain,
( spl5_1094
| ~ spl5_140
| ~ spl5_233
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f14364,f4922,f4433,f1441,f29360]) ).
fof(f29360,plain,
( spl5_1094
<=> ! [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_1094])]) ).
fof(f1441,plain,
( spl5_140
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f4922,plain,
( spl5_262
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_262])]) ).
fof(f14364,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_140
| ~ spl5_233
| ~ spl5_262 ),
inference(forward_demodulation,[],[f14207,f14140]) ).
fof(f14140,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_140
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1442]) ).
fof(f1442,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_140 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f14207,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_233
| ~ spl5_262 ),
inference(resolution,[],[f4434,f4923]) ).
fof(f4923,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_262 ),
inference(avatar_component_clause,[],[f4922]) ).
fof(f29358,plain,
( spl5_1093
| ~ spl5_139
| ~ spl5_233
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f14363,f4918,f4433,f1437,f29356]) ).
fof(f29356,plain,
( spl5_1093
<=> ! [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_1093])]) ).
fof(f1437,plain,
( spl5_139
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f4918,plain,
( spl5_261
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_261])]) ).
fof(f14363,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_139
| ~ spl5_233
| ~ spl5_261 ),
inference(forward_demodulation,[],[f14206,f14139]) ).
fof(f14139,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_139
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1438]) ).
fof(f1438,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_139 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f14206,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_233
| ~ spl5_261 ),
inference(resolution,[],[f4434,f4919]) ).
fof(f4919,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_261 ),
inference(avatar_component_clause,[],[f4918]) ).
fof(f29354,plain,
( spl5_1092
| ~ spl5_138
| ~ spl5_233
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f14362,f4914,f4433,f1433,f29352]) ).
fof(f29352,plain,
( spl5_1092
<=> ! [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_1092])]) ).
fof(f1433,plain,
( spl5_138
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f4914,plain,
( spl5_260
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_260])]) ).
fof(f14362,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_138
| ~ spl5_233
| ~ spl5_260 ),
inference(forward_demodulation,[],[f14205,f14138]) ).
fof(f14138,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_138
| ~ spl5_233 ),
inference(resolution,[],[f4434,f1434]) ).
fof(f1434,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_138 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f14205,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_233
| ~ spl5_260 ),
inference(resolution,[],[f4434,f4915]) ).
fof(f4915,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_260 ),
inference(avatar_component_clause,[],[f4914]) ).
fof(f29350,plain,
( spl5_1091
| ~ spl5_233
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f14231,f5736,f4433,f29348]) ).
fof(f29348,plain,
( spl5_1091
<=> ! [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_1091])]) ).
fof(f5736,plain,
( spl5_290
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_290])]) ).
fof(f14231,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_233
| ~ spl5_290 ),
inference(resolution,[],[f4434,f5737]) ).
fof(f5737,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl5_290 ),
inference(avatar_component_clause,[],[f5736]) ).
fof(f29289,plain,
( spl5_1090
| ~ spl5_63
| ~ spl5_588
| ~ spl5_1089 ),
inference(avatar_split_clause,[],[f29261,f29258,f14574,f556,f29287]) ).
fof(f29287,plain,
( spl5_1090
<=> ! [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_1090])]) ).
fof(f556,plain,
( spl5_63
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f29258,plain,
( spl5_1089
<=> ! [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_1089])]) ).
fof(f29261,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_63
| ~ spl5_588
| ~ spl5_1089 ),
inference(forward_demodulation,[],[f29259,f14582]) ).
fof(f14582,plain,
( sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)) = smndt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_63
| ~ spl5_588 ),
inference(resolution,[],[f14576,f557]) ).
fof(f557,plain,
( ! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f29259,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_1089 ),
inference(avatar_component_clause,[],[f29258]) ).
fof(f29260,plain,
( spl5_1089
| ~ spl5_233
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f14230,f5732,f4433,f29258]) ).
fof(f5732,plain,
( spl5_289
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_289])]) ).
fof(f14230,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_233
| ~ spl5_289 ),
inference(resolution,[],[f4434,f5733]) ).
fof(f5733,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1))) )
| ~ spl5_289 ),
inference(avatar_component_clause,[],[f5732]) ).
fof(f29202,plain,
( spl5_1088
| ~ spl5_63
| ~ spl5_588
| ~ spl5_1087 ),
inference(avatar_split_clause,[],[f29198,f29195,f14574,f556,f29200]) ).
fof(f29200,plain,
( spl5_1088
<=> ! [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_1088])]) ).
fof(f29195,plain,
( spl5_1087
<=> ! [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_1087])]) ).
fof(f29198,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_63
| ~ spl5_588
| ~ spl5_1087 ),
inference(forward_demodulation,[],[f29196,f14582]) ).
fof(f29196,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_1087 ),
inference(avatar_component_clause,[],[f29195]) ).
fof(f29197,plain,
( spl5_1087
| ~ spl5_233
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f14229,f5728,f4433,f29195]) ).
fof(f5728,plain,
( spl5_288
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_288])]) ).
fof(f14229,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_233
| ~ spl5_288 ),
inference(resolution,[],[f4434,f5729]) ).
fof(f5729,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1))) )
| ~ spl5_288 ),
inference(avatar_component_clause,[],[f5728]) ).
fof(f29193,plain,
( spl5_1086
| ~ spl5_230
| ~ spl5_368 ),
inference(avatar_split_clause,[],[f8360,f8266,f4421,f29191]) ).
fof(f29191,plain,
( spl5_1086
<=> ! [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_1086])]) ).
fof(f8266,plain,
( spl5_368
<=> ! [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_368])]) ).
fof(f8360,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_230
| ~ spl5_368 ),
inference(resolution,[],[f8267,f4422]) ).
fof(f8267,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_368 ),
inference(avatar_component_clause,[],[f8266]) ).
fof(f29189,plain,
( spl5_1085
| ~ spl5_231
| ~ spl5_368 ),
inference(avatar_split_clause,[],[f8359,f8266,f4425,f29187]) ).
fof(f29187,plain,
( spl5_1085
<=> ! [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_1085])]) ).
fof(f8359,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_231
| ~ spl5_368 ),
inference(resolution,[],[f8267,f4426]) ).
fof(f29185,plain,
( spl5_1084
| ~ spl5_230
| ~ spl5_367 ),
inference(avatar_split_clause,[],[f8337,f8262,f4421,f29183]) ).
fof(f29183,plain,
( spl5_1084
<=> ! [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_1084])]) ).
fof(f8262,plain,
( spl5_367
<=> ! [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_367])]) ).
fof(f8337,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_230
| ~ spl5_367 ),
inference(resolution,[],[f8263,f4422]) ).
fof(f8263,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_367 ),
inference(avatar_component_clause,[],[f8262]) ).
fof(f29181,plain,
( spl5_1083
| ~ spl5_231
| ~ spl5_367 ),
inference(avatar_split_clause,[],[f8336,f8262,f4425,f29179]) ).
fof(f29179,plain,
( spl5_1083
<=> ! [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_1083])]) ).
fof(f8336,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_231
| ~ spl5_367 ),
inference(resolution,[],[f8263,f4426]) ).
fof(f29177,plain,
( spl5_1082
| ~ spl5_230
| ~ spl5_365 ),
inference(avatar_split_clause,[],[f8309,f8254,f4421,f29175]) ).
fof(f29175,plain,
( spl5_1082
<=> ! [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_1082])]) ).
fof(f8254,plain,
( spl5_365
<=> ! [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_365])]) ).
fof(f8309,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_230
| ~ spl5_365 ),
inference(resolution,[],[f8255,f4422]) ).
fof(f8255,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_365 ),
inference(avatar_component_clause,[],[f8254]) ).
fof(f29173,plain,
( spl5_1081
| ~ spl5_231
| ~ spl5_365 ),
inference(avatar_split_clause,[],[f8308,f8254,f4425,f29171]) ).
fof(f29171,plain,
( spl5_1081
<=> ! [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_1081])]) ).
fof(f8308,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_231
| ~ spl5_365 ),
inference(resolution,[],[f8255,f4426]) ).
fof(f29169,plain,
( spl5_1080
| ~ spl5_18
| ~ spl5_62
| ~ spl5_91
| ~ spl5_287
| ~ spl5_644 ),
inference(avatar_split_clause,[],[f17018,f15278,f5689,f769,f552,f322,f29166]) ).
fof(f29166,plain,
( spl5_1080
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1080])]) ).
fof(f322,plain,
( spl5_18
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f769,plain,
( spl5_91
<=> sP2(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f5689,plain,
( spl5_287
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_287])]) ).
fof(f15278,plain,
( spl5_644
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_644])]) ).
fof(f17018,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_91
| ~ spl5_287
| ~ spl5_644 ),
inference(forward_demodulation,[],[f17017,f1200]) ).
fof(f1200,plain,
( sz0z00 = sdtasdt0(sz0z00,xN)
| ~ spl5_62
| ~ spl5_91 ),
inference(resolution,[],[f771,f553]) ).
fof(f771,plain,
( sP2(xN)
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f17017,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_644 ),
inference(forward_demodulation,[],[f16990,f5691]) ).
fof(f5691,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_287 ),
inference(avatar_component_clause,[],[f5689]) ).
fof(f16990,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_644 ),
inference(resolution,[],[f15279,f324]) ).
fof(f324,plain,
( aScalar0(sz0z00)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f15279,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD))) )
| ~ spl5_644 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f29164,plain,
( spl5_1079
| ~ spl5_230
| ~ spl5_364 ),
inference(avatar_split_clause,[],[f8279,f8250,f4421,f29162]) ).
fof(f29162,plain,
( spl5_1079
<=> ! [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_1079])]) ).
fof(f8250,plain,
( spl5_364
<=> ! [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_364])]) ).
fof(f8279,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_230
| ~ spl5_364 ),
inference(resolution,[],[f8251,f4422]) ).
fof(f8251,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_364 ),
inference(avatar_component_clause,[],[f8250]) ).
fof(f29160,plain,
( spl5_1078
| ~ spl5_231
| ~ spl5_364 ),
inference(avatar_split_clause,[],[f8278,f8250,f4425,f29158]) ).
fof(f29158,plain,
( spl5_1078
<=> ! [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_1078])]) ).
fof(f8278,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_231
| ~ spl5_364 ),
inference(resolution,[],[f8251,f4426]) ).
fof(f29098,plain,
( spl5_1077
| ~ spl5_62
| ~ spl5_411
| ~ spl5_1076 ),
inference(avatar_split_clause,[],[f29094,f29091,f9468,f552,f29096]) ).
fof(f29096,plain,
( spl5_1077
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1077])]) ).
fof(f9468,plain,
( spl5_411
<=> sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_411])]) ).
fof(f29091,plain,
( spl5_1076
<=> ! [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_1076])]) ).
fof(f29094,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_62
| ~ spl5_411
| ~ spl5_1076 ),
inference(forward_demodulation,[],[f29092,f9475]) ).
fof(f9475,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_62
| ~ spl5_411 ),
inference(resolution,[],[f9470,f553]) ).
fof(f9470,plain,
( sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_411 ),
inference(avatar_component_clause,[],[f9468]) ).
fof(f29092,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_1076 ),
inference(avatar_component_clause,[],[f29091]) ).
fof(f29093,plain,
( spl5_1076
| ~ spl5_168
| ~ spl5_232
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f7495,f5748,f4429,f2027,f29091]) ).
fof(f7495,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_168
| ~ spl5_232
| ~ spl5_293 ),
inference(forward_demodulation,[],[f7399,f7329]) ).
fof(f7329,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_168
| ~ spl5_232 ),
inference(resolution,[],[f4430,f2028]) ).
fof(f7399,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_232
| ~ spl5_293 ),
inference(resolution,[],[f4430,f5749]) ).
fof(f29057,plain,
( spl5_1075
| ~ spl5_60
| ~ spl5_411
| ~ spl5_1074 ),
inference(avatar_split_clause,[],[f29053,f29050,f9468,f544,f29055]) ).
fof(f29055,plain,
( spl5_1075
<=> ! [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_1075])]) ).
fof(f29050,plain,
( spl5_1074
<=> ! [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_1074])]) ).
fof(f29053,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_60
| ~ spl5_411
| ~ spl5_1074 ),
inference(forward_demodulation,[],[f29051,f9473]) ).
fof(f9473,plain,
( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_60
| ~ spl5_411 ),
inference(resolution,[],[f9470,f545]) ).
fof(f29051,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_1074 ),
inference(avatar_component_clause,[],[f29050]) ).
fof(f29052,plain,
( spl5_1074
| ~ spl5_167
| ~ spl5_232
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f7494,f5744,f4429,f2023,f29050]) ).
fof(f7494,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_167
| ~ spl5_232
| ~ spl5_292 ),
inference(forward_demodulation,[],[f7398,f7328]) ).
fof(f7328,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_167
| ~ spl5_232 ),
inference(resolution,[],[f4430,f2024]) ).
fof(f7398,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_232
| ~ spl5_292 ),
inference(resolution,[],[f4430,f5745]) ).
fof(f29048,plain,
( spl5_1073
| ~ spl5_162
| ~ spl5_232
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f7493,f5018,f4429,f1534,f29046]) ).
fof(f29046,plain,
( spl5_1073
<=> ! [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_1073])]) ).
fof(f7493,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_162
| ~ spl5_232
| ~ spl5_284 ),
inference(forward_demodulation,[],[f7394,f7327]) ).
fof(f7327,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_162
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1535]) ).
fof(f7394,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_232
| ~ spl5_284 ),
inference(resolution,[],[f4430,f5019]) ).
fof(f29044,plain,
( spl5_1072
| ~ spl5_161
| ~ spl5_232
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f7492,f5014,f4429,f1530,f29042]) ).
fof(f29042,plain,
( spl5_1072
<=> ! [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_1072])]) ).
fof(f7492,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_161
| ~ spl5_232
| ~ spl5_283 ),
inference(forward_demodulation,[],[f7393,f7326]) ).
fof(f7326,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_161
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1531]) ).
fof(f7393,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_232
| ~ spl5_283 ),
inference(resolution,[],[f4430,f5015]) ).
fof(f29040,plain,
( spl5_1071
| ~ spl5_18
| ~ spl5_62
| ~ spl5_91
| ~ spl5_285
| ~ spl5_643 ),
inference(avatar_split_clause,[],[f16984,f15274,f5112,f769,f552,f322,f29037]) ).
fof(f29037,plain,
( spl5_1071
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1071])]) ).
fof(f5112,plain,
( spl5_285
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_285])]) ).
fof(f15274,plain,
( spl5_643
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_643])]) ).
fof(f16984,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_91
| ~ spl5_285
| ~ spl5_643 ),
inference(forward_demodulation,[],[f16983,f1200]) ).
fof(f16983,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_643 ),
inference(forward_demodulation,[],[f16956,f5114]) ).
fof(f5114,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_285 ),
inference(avatar_component_clause,[],[f5112]) ).
fof(f16956,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xN) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_643 ),
inference(resolution,[],[f15275,f324]) ).
fof(f15275,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE))) )
| ~ spl5_643 ),
inference(avatar_component_clause,[],[f15274]) ).
fof(f29035,plain,
( spl5_1070
| ~ spl5_160
| ~ spl5_232
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f7491,f5010,f4429,f1526,f29033]) ).
fof(f29033,plain,
( spl5_1070
<=> ! [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_1070])]) ).
fof(f7491,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_160
| ~ spl5_232
| ~ spl5_282 ),
inference(forward_demodulation,[],[f7392,f7325]) ).
fof(f7325,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_160
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1527]) ).
fof(f7392,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_232
| ~ spl5_282 ),
inference(resolution,[],[f4430,f5011]) ).
fof(f29031,plain,
( spl5_1069
| ~ spl5_159
| ~ spl5_232
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f7490,f5006,f4429,f1522,f29029]) ).
fof(f29029,plain,
( spl5_1069
<=> ! [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_1069])]) ).
fof(f7490,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_159
| ~ spl5_232
| ~ spl5_281 ),
inference(forward_demodulation,[],[f7391,f7324]) ).
fof(f7324,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_159
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1523]) ).
fof(f7391,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_232
| ~ spl5_281 ),
inference(resolution,[],[f4430,f5007]) ).
fof(f29027,plain,
( spl5_1068
| ~ spl5_158
| ~ spl5_232
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f7489,f5002,f4429,f1518,f29025]) ).
fof(f29025,plain,
( spl5_1068
<=> ! [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_1068])]) ).
fof(f7489,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_158
| ~ spl5_232
| ~ spl5_280 ),
inference(forward_demodulation,[],[f7390,f7323]) ).
fof(f7323,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_158
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1519]) ).
fof(f7390,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_232
| ~ spl5_280 ),
inference(resolution,[],[f4430,f5003]) ).
fof(f29023,plain,
( spl5_1067
| ~ spl5_157
| ~ spl5_232
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f7488,f4998,f4429,f1514,f29021]) ).
fof(f29021,plain,
( spl5_1067
<=> ! [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_1067])]) ).
fof(f7488,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_157
| ~ spl5_232
| ~ spl5_279 ),
inference(forward_demodulation,[],[f7389,f7322]) ).
fof(f7322,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_157
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1515]) ).
fof(f7389,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_232
| ~ spl5_279 ),
inference(resolution,[],[f4430,f4999]) ).
fof(f29019,plain,
( spl5_1066
| ~ spl5_156
| ~ spl5_232
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f7487,f4994,f4429,f1510,f29017]) ).
fof(f29017,plain,
( spl5_1066
<=> ! [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_1066])]) ).
fof(f7487,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_156
| ~ spl5_232
| ~ spl5_278 ),
inference(forward_demodulation,[],[f7388,f7321]) ).
fof(f7321,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_156
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1511]) ).
fof(f7388,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_232
| ~ spl5_278 ),
inference(resolution,[],[f4430,f4995]) ).
fof(f29015,plain,
( spl5_1065
| ~ spl5_155
| ~ spl5_232
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f7486,f4985,f4429,f1506,f29013]) ).
fof(f29013,plain,
( spl5_1065
<=> ! [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_1065])]) ).
fof(f7486,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_155
| ~ spl5_232
| ~ spl5_276 ),
inference(forward_demodulation,[],[f7387,f7320]) ).
fof(f7320,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_155
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1507]) ).
fof(f7387,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_232
| ~ spl5_276 ),
inference(resolution,[],[f4430,f4986]) ).
fof(f29011,plain,
( spl5_1064
| ~ spl5_154
| ~ spl5_232
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f7485,f4981,f4429,f1502,f29009]) ).
fof(f29009,plain,
( spl5_1064
<=> ! [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_1064])]) ).
fof(f7485,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_154
| ~ spl5_232
| ~ spl5_275 ),
inference(forward_demodulation,[],[f7386,f7319]) ).
fof(f7319,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_154
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1503]) ).
fof(f7386,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_232
| ~ spl5_275 ),
inference(resolution,[],[f4430,f4982]) ).
fof(f29007,plain,
( spl5_1063
| ~ spl5_153
| ~ spl5_232
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f7484,f4977,f4429,f1498,f29005]) ).
fof(f29005,plain,
( spl5_1063
<=> ! [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_1063])]) ).
fof(f7484,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_153
| ~ spl5_232
| ~ spl5_274 ),
inference(forward_demodulation,[],[f7385,f7318]) ).
fof(f7318,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_153
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1499]) ).
fof(f7385,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_232
| ~ spl5_274 ),
inference(resolution,[],[f4430,f4978]) ).
fof(f29003,plain,
( spl5_1062
| ~ spl5_151
| ~ spl5_232
| ~ spl5_273 ),
inference(avatar_split_clause,[],[f7483,f4973,f4429,f1489,f29001]) ).
fof(f29001,plain,
( spl5_1062
<=> ! [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_1062])]) ).
fof(f7483,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_151
| ~ spl5_232
| ~ spl5_273 ),
inference(forward_demodulation,[],[f7384,f7317]) ).
fof(f7317,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_151
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1490]) ).
fof(f7384,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_232
| ~ spl5_273 ),
inference(resolution,[],[f4430,f4974]) ).
fof(f28999,plain,
( spl5_1061
| ~ spl5_150
| ~ spl5_232
| ~ spl5_272 ),
inference(avatar_split_clause,[],[f7482,f4969,f4429,f1485,f28997]) ).
fof(f28997,plain,
( spl5_1061
<=> ! [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_1061])]) ).
fof(f7482,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_150
| ~ spl5_232
| ~ spl5_272 ),
inference(forward_demodulation,[],[f7383,f7316]) ).
fof(f7316,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_150
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1486]) ).
fof(f7383,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_232
| ~ spl5_272 ),
inference(resolution,[],[f4430,f4970]) ).
fof(f28995,plain,
( spl5_1060
| ~ spl5_18
| ~ spl5_62
| ~ spl5_86
| ~ spl5_287
| ~ spl5_642 ),
inference(avatar_split_clause,[],[f16948,f15270,f5689,f701,f552,f322,f28992]) ).
fof(f28992,plain,
( spl5_1060
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1060])]) ).
fof(f701,plain,
( spl5_86
<=> sP2(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f15270,plain,
( spl5_642
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_642])]) ).
fof(f16948,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_86
| ~ spl5_287
| ~ spl5_642 ),
inference(forward_demodulation,[],[f16947,f1193]) ).
fof(f1193,plain,
( sz0z00 = sdtasdt0(sz0z00,xS)
| ~ spl5_62
| ~ spl5_86 ),
inference(resolution,[],[f703,f553]) ).
fof(f703,plain,
( sP2(xS)
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f16947,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_642 ),
inference(forward_demodulation,[],[f16920,f5691]) ).
fof(f16920,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_642 ),
inference(resolution,[],[f15271,f324]) ).
fof(f15271,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD))) )
| ~ spl5_642 ),
inference(avatar_component_clause,[],[f15270]) ).
fof(f28990,plain,
( spl5_1059
| ~ spl5_149
| ~ spl5_232
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f7481,f4965,f4429,f1481,f28988]) ).
fof(f28988,plain,
( spl5_1059
<=> ! [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_1059])]) ).
fof(f7481,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_149
| ~ spl5_232
| ~ spl5_271 ),
inference(forward_demodulation,[],[f7382,f7315]) ).
fof(f7315,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtpldt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_149
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1482]) ).
fof(f7382,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_232
| ~ spl5_271 ),
inference(resolution,[],[f4430,f4966]) ).
fof(f28986,plain,
( spl5_1058
| ~ spl5_148
| ~ spl5_232
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f7480,f4961,f4429,f1477,f28984]) ).
fof(f28984,plain,
( spl5_1058
<=> ! [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_1058])]) ).
fof(f7480,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_148
| ~ spl5_232
| ~ spl5_270 ),
inference(forward_demodulation,[],[f7381,f7314]) ).
fof(f7314,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtpldt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_148
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1478]) ).
fof(f7381,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_232
| ~ spl5_270 ),
inference(resolution,[],[f4430,f4962]) ).
fof(f28982,plain,
( spl5_1057
| ~ spl5_147
| ~ spl5_232
| ~ spl5_269 ),
inference(avatar_split_clause,[],[f7479,f4957,f4429,f1473,f28980]) ).
fof(f28980,plain,
( spl5_1057
<=> ! [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_1057])]) ).
fof(f7479,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_147
| ~ spl5_232
| ~ spl5_269 ),
inference(forward_demodulation,[],[f7380,f7313]) ).
fof(f7313,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtpldt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_147
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1474]) ).
fof(f7380,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_232
| ~ spl5_269 ),
inference(resolution,[],[f4430,f4958]) ).
fof(f28978,plain,
( spl5_1056
| ~ spl5_146
| ~ spl5_232
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f7478,f4953,f4429,f1469,f28976]) ).
fof(f28976,plain,
( spl5_1056
<=> ! [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_1056])]) ).
fof(f7478,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_146
| ~ spl5_232
| ~ spl5_268 ),
inference(forward_demodulation,[],[f7379,f7312]) ).
fof(f7312,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtpldt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_146
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1470]) ).
fof(f7379,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_232
| ~ spl5_268 ),
inference(resolution,[],[f4430,f4954]) ).
fof(f28974,plain,
( spl5_1055
| ~ spl5_145
| ~ spl5_232
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f7477,f4949,f4429,f1465,f28972]) ).
fof(f28972,plain,
( spl5_1055
<=> ! [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_1055])]) ).
fof(f7477,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_145
| ~ spl5_232
| ~ spl5_267 ),
inference(forward_demodulation,[],[f7378,f7311]) ).
fof(f7311,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtpldt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_145
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1466]) ).
fof(f7378,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_232
| ~ spl5_267 ),
inference(resolution,[],[f4430,f4950]) ).
fof(f28970,plain,
( spl5_1054
| ~ spl5_144
| ~ spl5_232
| ~ spl5_266 ),
inference(avatar_split_clause,[],[f7476,f4938,f4429,f1461,f28968]) ).
fof(f28968,plain,
( spl5_1054
<=> ! [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_1054])]) ).
fof(f7476,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_144
| ~ spl5_232
| ~ spl5_266 ),
inference(forward_demodulation,[],[f7377,f7310]) ).
fof(f7310,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtpldt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_144
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1462]) ).
fof(f7377,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_232
| ~ spl5_266 ),
inference(resolution,[],[f4430,f4939]) ).
fof(f28966,plain,
( spl5_1053
| ~ spl5_143
| ~ spl5_232
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f7475,f4934,f4429,f1453,f28964]) ).
fof(f28964,plain,
( spl5_1053
<=> ! [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_1053])]) ).
fof(f7475,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_143
| ~ spl5_232
| ~ spl5_265 ),
inference(forward_demodulation,[],[f7376,f7309]) ).
fof(f7309,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtpldt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_143
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1454]) ).
fof(f7376,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_232
| ~ spl5_265 ),
inference(resolution,[],[f4430,f4935]) ).
fof(f28962,plain,
( spl5_1052
| ~ spl5_142
| ~ spl5_232
| ~ spl5_264 ),
inference(avatar_split_clause,[],[f7474,f4930,f4429,f1449,f28960]) ).
fof(f28960,plain,
( spl5_1052
<=> ! [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_1052])]) ).
fof(f7474,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_142
| ~ spl5_232
| ~ spl5_264 ),
inference(forward_demodulation,[],[f7375,f7308]) ).
fof(f7308,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtpldt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_142
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1450]) ).
fof(f7375,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_232
| ~ spl5_264 ),
inference(resolution,[],[f4430,f4931]) ).
fof(f28958,plain,
( spl5_1051
| ~ spl5_141
| ~ spl5_232
| ~ spl5_263 ),
inference(avatar_split_clause,[],[f7473,f4926,f4429,f1445,f28956]) ).
fof(f28956,plain,
( spl5_1051
<=> ! [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_1051])]) ).
fof(f7473,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_141
| ~ spl5_232
| ~ spl5_263 ),
inference(forward_demodulation,[],[f7374,f7307]) ).
fof(f7307,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtpldt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_141
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1446]) ).
fof(f7374,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_232
| ~ spl5_263 ),
inference(resolution,[],[f4430,f4927]) ).
fof(f28954,plain,
( spl5_1050
| ~ spl5_140
| ~ spl5_232
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f7472,f4922,f4429,f1441,f28952]) ).
fof(f28952,plain,
( spl5_1050
<=> ! [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_1050])]) ).
fof(f7472,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_140
| ~ spl5_232
| ~ spl5_262 ),
inference(forward_demodulation,[],[f7373,f7306]) ).
fof(f7306,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtpldt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_140
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1442]) ).
fof(f7373,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_232
| ~ spl5_262 ),
inference(resolution,[],[f4430,f4923]) ).
fof(f28950,plain,
( spl5_1049
| ~ spl5_18
| ~ spl5_62
| ~ spl5_86
| ~ spl5_285
| ~ spl5_641 ),
inference(avatar_split_clause,[],[f16914,f15266,f5112,f701,f552,f322,f28947]) ).
fof(f28947,plain,
( spl5_1049
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1049])]) ).
fof(f15266,plain,
( spl5_641
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_641])]) ).
fof(f16914,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_86
| ~ spl5_285
| ~ spl5_641 ),
inference(forward_demodulation,[],[f16913,f1193]) ).
fof(f16913,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_641 ),
inference(forward_demodulation,[],[f16886,f5114]) ).
fof(f16886,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xS) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_641 ),
inference(resolution,[],[f15267,f324]) ).
fof(f15267,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE))) )
| ~ spl5_641 ),
inference(avatar_component_clause,[],[f15266]) ).
fof(f28945,plain,
( spl5_1048
| ~ spl5_139
| ~ spl5_232
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f7471,f4918,f4429,f1437,f28943]) ).
fof(f28943,plain,
( spl5_1048
<=> ! [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_1048])]) ).
fof(f7471,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_139
| ~ spl5_232
| ~ spl5_261 ),
inference(forward_demodulation,[],[f7372,f7305]) ).
fof(f7305,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtpldt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_139
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1438]) ).
fof(f7372,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_232
| ~ spl5_261 ),
inference(resolution,[],[f4430,f4919]) ).
fof(f28941,plain,
( spl5_1047
| ~ spl5_138
| ~ spl5_232
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f7470,f4914,f4429,f1433,f28939]) ).
fof(f28939,plain,
( spl5_1047
<=> ! [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_1047])]) ).
fof(f7470,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_138
| ~ spl5_232
| ~ spl5_260 ),
inference(forward_demodulation,[],[f7371,f7304]) ).
fof(f7304,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtpldt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_138
| ~ spl5_232 ),
inference(resolution,[],[f4430,f1434]) ).
fof(f7371,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_232
| ~ spl5_260 ),
inference(resolution,[],[f4430,f4915]) ).
fof(f28937,plain,
( spl5_1046
| ~ spl5_232
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f7397,f5736,f4429,f28935]) ).
fof(f28935,plain,
( spl5_1046
<=> ! [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_1046])]) ).
fof(f7397,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_232
| ~ spl5_290 ),
inference(resolution,[],[f4430,f5737]) ).
fof(f28877,plain,
( spl5_1045
| ~ spl5_63
| ~ spl5_411
| ~ spl5_1044 ),
inference(avatar_split_clause,[],[f28873,f28870,f9468,f556,f28875]) ).
fof(f28875,plain,
( spl5_1045
<=> ! [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_1045])]) ).
fof(f28870,plain,
( spl5_1044
<=> ! [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_1044])]) ).
fof(f28873,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_63
| ~ spl5_411
| ~ spl5_1044 ),
inference(forward_demodulation,[],[f28871,f9476]) ).
fof(f9476,plain,
( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = smndt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_63
| ~ spl5_411 ),
inference(resolution,[],[f9470,f557]) ).
fof(f28871,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_1044 ),
inference(avatar_component_clause,[],[f28870]) ).
fof(f28872,plain,
( spl5_1044
| ~ spl5_232
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f7396,f5732,f4429,f28870]) ).
fof(f7396,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_232
| ~ spl5_289 ),
inference(resolution,[],[f4430,f5733]) ).
fof(f28814,plain,
( spl5_1043
| ~ spl5_63
| ~ spl5_411
| ~ spl5_1042 ),
inference(avatar_split_clause,[],[f28810,f28807,f9468,f556,f28812]) ).
fof(f28812,plain,
( spl5_1043
<=> ! [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_1043])]) ).
fof(f28807,plain,
( spl5_1042
<=> ! [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_1042])]) ).
fof(f28810,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_63
| ~ spl5_411
| ~ spl5_1042 ),
inference(forward_demodulation,[],[f28808,f9476]) ).
fof(f28808,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_1042 ),
inference(avatar_component_clause,[],[f28807]) ).
fof(f28809,plain,
( spl5_1042
| ~ spl5_232
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f7395,f5728,f4429,f28807]) ).
fof(f7395,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_232
| ~ spl5_288 ),
inference(resolution,[],[f4430,f5729]) ).
fof(f28796,plain,
( spl5_1041
| ~ spl5_18
| ~ spl5_62
| ~ spl5_79
| ~ spl5_287
| ~ spl5_639 ),
inference(avatar_split_clause,[],[f16878,f15257,f5689,f657,f552,f322,f28793]) ).
fof(f28793,plain,
( spl5_1041
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1041])]) ).
fof(f657,plain,
( spl5_79
<=> sP2(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f15257,plain,
( spl5_639
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_639])]) ).
fof(f16878,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_79
| ~ spl5_287
| ~ spl5_639 ),
inference(forward_demodulation,[],[f16877,f1186]) ).
fof(f1186,plain,
( sz0z00 = sdtasdt0(sz0z00,xP)
| ~ spl5_62
| ~ spl5_79 ),
inference(resolution,[],[f659,f553]) ).
fof(f659,plain,
( sP2(xP)
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f16877,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_639 ),
inference(forward_demodulation,[],[f16850,f5691]) ).
fof(f16850,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_639 ),
inference(resolution,[],[f15258,f324]) ).
fof(f15258,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD))) )
| ~ spl5_639 ),
inference(avatar_component_clause,[],[f15257]) ).
fof(f28791,plain,
( spl5_1040
| ~ spl5_22
| ~ spl5_127 ),
inference(avatar_split_clause,[],[f1332,f1329,f342,f28789]) ).
fof(f28789,plain,
( spl5_1040
<=> ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1040])]) ).
fof(f342,plain,
( spl5_22
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f1329,plain,
( spl5_127
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f1332,plain,
( ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) )
| ~ spl5_22
| ~ spl5_127 ),
inference(resolution,[],[f1330,f343]) ).
fof(f343,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f1330,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_127 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f28786,plain,
( spl5_1039
| ~ spl5_67
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1215,f1205,f577,f28783]) ).
fof(f28783,plain,
( spl5_1039
<=> sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1039])]) ).
fof(f577,plain,
( spl5_67
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f1205,plain,
( spl5_110
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f1215,plain,
( sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00)
| ~ spl5_67
| ~ spl5_110 ),
inference(resolution,[],[f1207,f578]) ).
fof(f578,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl5_67 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1207,plain,
( sP2(sz0z00)
| ~ spl5_110 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f28780,plain,
( spl5_1038
| ~ spl5_66
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1214,f1205,f573,f28777]) ).
fof(f28777,plain,
( spl5_1038
<=> sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1038])]) ).
fof(f573,plain,
( spl5_66
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f1214,plain,
( sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00))
| ~ spl5_66
| ~ spl5_110 ),
inference(resolution,[],[f1207,f574]) ).
fof(f574,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f28607,plain,
( spl5_1037
| ~ spl5_18
| ~ spl5_62
| ~ spl5_79
| ~ spl5_285
| ~ spl5_638 ),
inference(avatar_split_clause,[],[f16844,f15253,f5112,f657,f552,f322,f28604]) ).
fof(f28604,plain,
( spl5_1037
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1037])]) ).
fof(f15253,plain,
( spl5_638
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_638])]) ).
fof(f16844,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_79
| ~ spl5_285
| ~ spl5_638 ),
inference(forward_demodulation,[],[f16843,f1186]) ).
fof(f16843,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_638 ),
inference(forward_demodulation,[],[f16816,f5114]) ).
fof(f16816,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xP) = sdtasdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_638 ),
inference(resolution,[],[f15254,f324]) ).
fof(f15254,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE))) )
| ~ spl5_638 ),
inference(avatar_component_clause,[],[f15253]) ).
fof(f28156,plain,
( spl5_1036
| ~ spl5_18
| ~ spl5_62
| ~ spl5_73
| ~ spl5_287
| ~ spl5_637 ),
inference(avatar_split_clause,[],[f16803,f15249,f5689,f611,f552,f322,f28153]) ).
fof(f28153,plain,
( spl5_1036
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1036])]) ).
fof(f611,plain,
( spl5_73
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f15249,plain,
( spl5_637
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_637])]) ).
fof(f16803,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_73
| ~ spl5_287
| ~ spl5_637 ),
inference(forward_demodulation,[],[f16802,f1179]) ).
fof(f1179,plain,
( sz0z00 = sdtasdt0(sz0z00,xR)
| ~ spl5_62
| ~ spl5_73 ),
inference(resolution,[],[f613,f553]) ).
fof(f613,plain,
( sP2(xR)
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f16802,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_637 ),
inference(forward_demodulation,[],[f16775,f5691]) ).
fof(f16775,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_637 ),
inference(resolution,[],[f15250,f324]) ).
fof(f15250,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD))) )
| ~ spl5_637 ),
inference(avatar_component_clause,[],[f15249]) ).
fof(f28051,plain,
( spl5_1035
| ~ spl5_18
| ~ spl5_62
| ~ spl5_73
| ~ spl5_285
| ~ spl5_636 ),
inference(avatar_split_clause,[],[f16769,f15245,f5112,f611,f552,f322,f28048]) ).
fof(f28048,plain,
( spl5_1035
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1035])]) ).
fof(f15245,plain,
( spl5_636
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_636])]) ).
fof(f16769,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_73
| ~ spl5_285
| ~ spl5_636 ),
inference(forward_demodulation,[],[f16768,f1179]) ).
fof(f16768,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_636 ),
inference(forward_demodulation,[],[f16741,f5114]) ).
fof(f16741,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xR) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_636 ),
inference(resolution,[],[f15246,f324]) ).
fof(f15246,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE))) )
| ~ spl5_636 ),
inference(avatar_component_clause,[],[f15245]) ).
fof(f27946,plain,
( spl5_1034
| ~ spl5_18
| ~ spl5_62
| ~ spl5_68
| ~ spl5_287
| ~ spl5_635 ),
inference(avatar_split_clause,[],[f16733,f15241,f5689,f581,f552,f322,f27943]) ).
fof(f27943,plain,
( spl5_1034
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1034])]) ).
fof(f581,plain,
( spl5_68
<=> sP2(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f15241,plain,
( spl5_635
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_635])]) ).
fof(f16733,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_68
| ~ spl5_287
| ~ spl5_635 ),
inference(forward_demodulation,[],[f16732,f1172]) ).
fof(f1172,plain,
( sz0z00 = sdtasdt0(sz0z00,xH)
| ~ spl5_62
| ~ spl5_68 ),
inference(resolution,[],[f583,f553]) ).
fof(f583,plain,
( sP2(xH)
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f16732,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_635 ),
inference(forward_demodulation,[],[f16705,f5691]) ).
fof(f16705,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_635 ),
inference(resolution,[],[f15242,f324]) ).
fof(f15242,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD))) )
| ~ spl5_635 ),
inference(avatar_component_clause,[],[f15241]) ).
fof(f27391,plain,
( spl5_1033
| ~ spl5_4
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f4607,f4603,f252,f27388]) ).
fof(f27388,plain,
( spl5_1033
<=> aScalar0(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1033])]) ).
fof(f252,plain,
( spl5_4
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f4603,plain,
( spl5_240
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_240])]) ).
fof(f4607,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_240 ),
inference(equality_resolution,[],[f4604]) ).
fof(f4604,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) )
| ~ spl5_240 ),
inference(avatar_component_clause,[],[f4603]) ).
fof(f26866,plain,
( spl5_1032
| ~ spl5_4
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f4600,f4596,f252,f26863]) ).
fof(f26863,plain,
( spl5_1032
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1032])]) ).
fof(f4596,plain,
( spl5_239
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_239])]) ).
fof(f4600,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_239 ),
inference(equality_resolution,[],[f4597]) ).
fof(f4597,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) )
| ~ spl5_239 ),
inference(avatar_component_clause,[],[f4596]) ).
fof(f26861,plain,
( spl5_1031
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_91
| ~ spl5_194 ),
inference(avatar_split_clause,[],[f3702,f3244,f769,f552,f500,f322,f26858]) ).
fof(f26858,plain,
( spl5_1031
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1031])]) ).
fof(f500,plain,
( spl5_52
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f3244,plain,
( spl5_194
<=> ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_194])]) ).
fof(f3702,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_91
| ~ spl5_194 ),
inference(forward_demodulation,[],[f3701,f1200]) ).
fof(f3701,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_194 ),
inference(forward_demodulation,[],[f3683,f502]) ).
fof(f502,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f3683,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN))
| ~ spl5_18
| ~ spl5_194 ),
inference(resolution,[],[f3245,f324]) ).
fof(f3245,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN)) )
| ~ spl5_194 ),
inference(avatar_component_clause,[],[f3244]) ).
fof(f26856,plain,
( spl5_1030
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_86
| ~ spl5_193 ),
inference(avatar_split_clause,[],[f3678,f3240,f701,f552,f500,f322,f26853]) ).
fof(f26853,plain,
( spl5_1030
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1030])]) ).
fof(f3240,plain,
( spl5_193
<=> ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_193])]) ).
fof(f3678,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_86
| ~ spl5_193 ),
inference(forward_demodulation,[],[f3677,f1193]) ).
fof(f3677,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_193 ),
inference(forward_demodulation,[],[f3659,f502]) ).
fof(f3659,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS))
| ~ spl5_18
| ~ spl5_193 ),
inference(resolution,[],[f3241,f324]) ).
fof(f3241,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS)) )
| ~ spl5_193 ),
inference(avatar_component_clause,[],[f3240]) ).
fof(f26851,plain,
( spl5_1029
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_79
| ~ spl5_192 ),
inference(avatar_split_clause,[],[f3656,f3236,f657,f552,f500,f322,f26848]) ).
fof(f26848,plain,
( spl5_1029
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1029])]) ).
fof(f3236,plain,
( spl5_192
<=> ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_192])]) ).
fof(f3656,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_79
| ~ spl5_192 ),
inference(forward_demodulation,[],[f3655,f1186]) ).
fof(f3655,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_192 ),
inference(forward_demodulation,[],[f3637,f502]) ).
fof(f3637,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(smndt0(sz0z00),smndt0(xP))
| ~ spl5_18
| ~ spl5_192 ),
inference(resolution,[],[f3237,f324]) ).
fof(f3237,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP)) )
| ~ spl5_192 ),
inference(avatar_component_clause,[],[f3236]) ).
fof(f26846,plain,
( spl5_1028
| ~ spl5_18
| ~ spl5_62
| ~ spl5_68
| ~ spl5_285
| ~ spl5_634 ),
inference(avatar_split_clause,[],[f16699,f15237,f5112,f581,f552,f322,f26843]) ).
fof(f26843,plain,
( spl5_1028
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1028])]) ).
fof(f15237,plain,
( spl5_634
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_634])]) ).
fof(f16699,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_68
| ~ spl5_285
| ~ spl5_634 ),
inference(forward_demodulation,[],[f16698,f1172]) ).
fof(f16698,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_634 ),
inference(forward_demodulation,[],[f16671,f5114]) ).
fof(f16671,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xH) = sdtasdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_634 ),
inference(resolution,[],[f15238,f324]) ).
fof(f15238,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE))) )
| ~ spl5_634 ),
inference(avatar_component_clause,[],[f15237]) ).
fof(f26841,plain,
( spl5_1027
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_73
| ~ spl5_190 ),
inference(avatar_split_clause,[],[f3627,f3227,f611,f552,f500,f322,f26838]) ).
fof(f26838,plain,
( spl5_1027
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1027])]) ).
fof(f3227,plain,
( spl5_190
<=> ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_190])]) ).
fof(f3627,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_73
| ~ spl5_190 ),
inference(forward_demodulation,[],[f3626,f1179]) ).
fof(f3626,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_190 ),
inference(forward_demodulation,[],[f3608,f502]) ).
fof(f3608,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR))
| ~ spl5_18
| ~ spl5_190 ),
inference(resolution,[],[f3228,f324]) ).
fof(f3228,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR)) )
| ~ spl5_190 ),
inference(avatar_component_clause,[],[f3227]) ).
fof(f26836,plain,
( spl5_1026
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_68
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f3606,f3223,f581,f552,f500,f322,f26833]) ).
fof(f26833,plain,
( spl5_1026
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1026])]) ).
fof(f3223,plain,
( spl5_189
<=> ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_189])]) ).
fof(f3606,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_68
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3605,f1172]) ).
fof(f3605,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3587,f502]) ).
fof(f3587,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(smndt0(sz0z00),smndt0(xH))
| ~ spl5_18
| ~ spl5_189 ),
inference(resolution,[],[f3224,f324]) ).
fof(f3224,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH)) )
| ~ spl5_189 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f26831,plain,
( spl5_1025
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_64
| ~ spl5_188 ),
inference(avatar_split_clause,[],[f3577,f3219,f560,f552,f500,f322,f26828]) ).
fof(f26828,plain,
( spl5_1025
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1025])]) ).
fof(f560,plain,
( spl5_64
<=> sP2(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f3219,plain,
( spl5_188
<=> ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_188])]) ).
fof(f3577,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_62
| ~ spl5_64
| ~ spl5_188 ),
inference(forward_demodulation,[],[f3576,f1165]) ).
fof(f1165,plain,
( sz0z00 = sdtasdt0(sz0z00,xG)
| ~ spl5_62
| ~ spl5_64 ),
inference(resolution,[],[f562,f553]) ).
fof(f562,plain,
( sP2(xG)
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f3576,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_188 ),
inference(forward_demodulation,[],[f3558,f502]) ).
fof(f3558,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(smndt0(sz0z00),smndt0(xG))
| ~ spl5_18
| ~ spl5_188 ),
inference(resolution,[],[f3220,f324]) ).
fof(f3220,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG)) )
| ~ spl5_188 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f26826,plain,
( spl5_1024
| ~ spl5_18
| ~ spl5_52
| ~ spl5_55
| ~ spl5_62
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f3547,f3215,f552,f522,f500,f322,f26823]) ).
fof(f26823,plain,
( spl5_1024
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1024])]) ).
fof(f522,plain,
( spl5_55
<=> sP2(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f3215,plain,
( spl5_187
<=> ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_187])]) ).
fof(f3547,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_55
| ~ spl5_62
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3546,f1158]) ).
fof(f1158,plain,
( sz0z00 = sdtasdt0(sz0z00,xF)
| ~ spl5_55
| ~ spl5_62 ),
inference(resolution,[],[f524,f553]) ).
fof(f524,plain,
( sP2(xF)
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f3546,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3528,f502]) ).
fof(f3528,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(smndt0(sz0z00),smndt0(xF))
| ~ spl5_18
| ~ spl5_187 ),
inference(resolution,[],[f3216,f324]) ).
fof(f3216,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF)) )
| ~ spl5_187 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f26821,plain,
( spl5_1023
| ~ spl5_18
| ~ spl5_48
| ~ spl5_52
| ~ spl5_62
| ~ spl5_186 ),
inference(avatar_split_clause,[],[f3526,f3211,f552,f500,f484,f322,f26818]) ).
fof(f26818,plain,
( spl5_1023
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1023])]) ).
fof(f484,plain,
( spl5_48
<=> sP2(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f3211,plain,
( spl5_186
<=> ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_186])]) ).
fof(f3526,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_18
| ~ spl5_48
| ~ spl5_52
| ~ spl5_62
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3525,f1151]) ).
fof(f1151,plain,
( sz0z00 = sdtasdt0(sz0z00,xE)
| ~ spl5_48
| ~ spl5_62 ),
inference(resolution,[],[f486,f553]) ).
fof(f486,plain,
( sP2(xE)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f3525,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3507,f502]) ).
fof(f3507,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(smndt0(sz0z00),smndt0(xE))
| ~ spl5_18
| ~ spl5_186 ),
inference(resolution,[],[f3212,f324]) ).
fof(f3212,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE)) )
| ~ spl5_186 ),
inference(avatar_component_clause,[],[f3211]) ).
fof(f26816,plain,
( spl5_1022
| ~ spl5_18
| ~ spl5_42
| ~ spl5_52
| ~ spl5_62
| ~ spl5_185 ),
inference(avatar_split_clause,[],[f3500,f3207,f552,f500,f452,f322,f26813]) ).
fof(f26813,plain,
( spl5_1022
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1022])]) ).
fof(f452,plain,
( spl5_42
<=> sP2(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f3207,plain,
( spl5_185
<=> ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_185])]) ).
fof(f3500,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_18
| ~ spl5_42
| ~ spl5_52
| ~ spl5_62
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3499,f1111]) ).
fof(f1111,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_42
| ~ spl5_62 ),
inference(resolution,[],[f454,f553]) ).
fof(f454,plain,
( sP2(xD)
| ~ spl5_42 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f3499,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3481,f502]) ).
fof(f3481,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(smndt0(sz0z00),smndt0(xD))
| ~ spl5_18
| ~ spl5_185 ),
inference(resolution,[],[f3208,f324]) ).
fof(f3208,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD)) )
| ~ spl5_185 ),
inference(avatar_component_clause,[],[f3207]) ).
fof(f26811,plain,
( spl5_1021
| ~ spl5_18
| ~ spl5_52
| ~ spl5_184
| ~ spl5_202 ),
inference(avatar_split_clause,[],[f3473,f3276,f3203,f500,f322,f26808]) ).
fof(f26808,plain,
( spl5_1021
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1021])]) ).
fof(f3203,plain,
( spl5_184
<=> ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_184])]) ).
fof(f3276,plain,
( spl5_202
<=> sz0z00 = sdtasdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_202])]) ).
fof(f3473,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_184
| ~ spl5_202 ),
inference(forward_demodulation,[],[f3472,f3278]) ).
fof(f3278,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_202 ),
inference(avatar_component_clause,[],[f3276]) ).
fof(f3472,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_184 ),
inference(forward_demodulation,[],[f3454,f502]) ).
fof(f3454,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(smndt0(sz0z00),smndt0(xC))
| ~ spl5_18
| ~ spl5_184 ),
inference(resolution,[],[f3204,f324]) ).
fof(f3204,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC)) )
| ~ spl5_184 ),
inference(avatar_component_clause,[],[f3203]) ).
fof(f26806,plain,
( spl5_1020
| ~ spl5_18
| ~ spl5_52
| ~ spl5_173
| ~ spl5_183 ),
inference(avatar_split_clause,[],[f3444,f3199,f2606,f500,f322,f26803]) ).
fof(f26803,plain,
( spl5_1020
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1020])]) ).
fof(f2606,plain,
( spl5_173
<=> sz0z00 = sdtasdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f3199,plain,
( spl5_183
<=> ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f3444,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_173
| ~ spl5_183 ),
inference(forward_demodulation,[],[f3443,f2608]) ).
fof(f2608,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_173 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f3443,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_183 ),
inference(forward_demodulation,[],[f3425,f502]) ).
fof(f3425,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(smndt0(sz0z00),smndt0(xB))
| ~ spl5_18
| ~ spl5_183 ),
inference(resolution,[],[f3200,f324]) ).
fof(f3200,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB)) )
| ~ spl5_183 ),
inference(avatar_component_clause,[],[f3199]) ).
fof(f26801,plain,
( spl5_1019
| ~ spl5_18
| ~ spl5_52
| ~ spl5_164
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f3415,f3195,f1733,f500,f322,f26798]) ).
fof(f26798,plain,
( spl5_1019
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1019])]) ).
fof(f1733,plain,
( spl5_164
<=> sz0z00 = sdtasdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f3195,plain,
( spl5_182
<=> ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f3415,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_164
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3414,f1735]) ).
fof(f1735,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_164 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f3414,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3396,f502]) ).
fof(f3396,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(smndt0(sz0z00),smndt0(xA))
| ~ spl5_18
| ~ spl5_182 ),
inference(resolution,[],[f3196,f324]) ).
fof(f3196,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA)) )
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f3195]) ).
fof(f26796,plain,
( spl5_1018
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3141,f2103,f769,f548,f257,f26793]) ).
fof(f26793,plain,
( spl5_1018
<=> sz0z00 = sdtasdt0(smndt0(xN),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1018])]) ).
fof(f257,plain,
( spl5_5
<=> aScalar0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f548,plain,
( spl5_61
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f2103,plain,
( spl5_170
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f3141,plain,
( sz0z00 = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3129,f1199]) ).
fof(f1199,plain,
( sz0z00 = sdtasdt0(xN,sz0z00)
| ~ spl5_61
| ~ spl5_91 ),
inference(resolution,[],[f771,f549]) ).
fof(f549,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl5_61 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f3129,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_5
| ~ spl5_170 ),
inference(resolution,[],[f2104,f259]) ).
fof(f259,plain,
( aScalar0(xN)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f2104,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl5_170 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f26791,plain,
( spl5_1017
| ~ spl5_18
| ~ spl5_62
| ~ spl5_64
| ~ spl5_287
| ~ spl5_633 ),
inference(avatar_split_clause,[],[f16663,f15233,f5689,f560,f552,f322,f26788]) ).
fof(f26788,plain,
( spl5_1017
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1017])]) ).
fof(f15233,plain,
( spl5_633
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_633])]) ).
fof(f16663,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_64
| ~ spl5_287
| ~ spl5_633 ),
inference(forward_demodulation,[],[f16662,f1165]) ).
fof(f16662,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_633 ),
inference(forward_demodulation,[],[f16635,f5691]) ).
fof(f16635,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_633 ),
inference(resolution,[],[f15234,f324]) ).
fof(f15234,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD))) )
| ~ spl5_633 ),
inference(avatar_component_clause,[],[f15233]) ).
fof(f26786,plain,
( spl5_1016
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3140,f2103,f701,f548,f282,f26783]) ).
fof(f26783,plain,
( spl5_1016
<=> sz0z00 = sdtasdt0(smndt0(xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1016])]) ).
fof(f282,plain,
( spl5_10
<=> aScalar0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f3140,plain,
( sz0z00 = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3128,f1192]) ).
fof(f1192,plain,
( sz0z00 = sdtasdt0(xS,sz0z00)
| ~ spl5_61
| ~ spl5_86 ),
inference(resolution,[],[f703,f549]) ).
fof(f3128,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_10
| ~ spl5_170 ),
inference(resolution,[],[f2104,f284]) ).
fof(f284,plain,
( aScalar0(xS)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f26781,plain,
( spl5_1015
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3139,f2103,f657,f548,f302,f26778]) ).
fof(f26778,plain,
( spl5_1015
<=> sz0z00 = sdtasdt0(smndt0(xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1015])]) ).
fof(f302,plain,
( spl5_14
<=> aScalar0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f3139,plain,
( sz0z00 = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3127,f1185]) ).
fof(f1185,plain,
( sz0z00 = sdtasdt0(xP,sz0z00)
| ~ spl5_61
| ~ spl5_79 ),
inference(resolution,[],[f659,f549]) ).
fof(f3127,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_170 ),
inference(resolution,[],[f2104,f304]) ).
fof(f304,plain,
( aScalar0(xP)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f26776,plain,
( spl5_1014
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3138,f2103,f611,f548,f287,f26773]) ).
fof(f26773,plain,
( spl5_1014
<=> sz0z00 = sdtasdt0(smndt0(xR),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1014])]) ).
fof(f287,plain,
( spl5_11
<=> aScalar0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f3138,plain,
( sz0z00 = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3126,f1178]) ).
fof(f1178,plain,
( sz0z00 = sdtasdt0(xR,sz0z00)
| ~ spl5_61
| ~ spl5_73 ),
inference(resolution,[],[f613,f549]) ).
fof(f3126,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_11
| ~ spl5_170 ),
inference(resolution,[],[f2104,f289]) ).
fof(f289,plain,
( aScalar0(xR)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f26771,plain,
( spl5_1013
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3137,f2103,f581,f548,f312,f26768]) ).
fof(f26768,plain,
( spl5_1013
<=> sz0z00 = sdtasdt0(smndt0(xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1013])]) ).
fof(f312,plain,
( spl5_16
<=> aScalar0(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f3137,plain,
( sz0z00 = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3125,f1171]) ).
fof(f1171,plain,
( sz0z00 = sdtasdt0(xH,sz0z00)
| ~ spl5_61
| ~ spl5_68 ),
inference(resolution,[],[f583,f549]) ).
fof(f3125,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_16
| ~ spl5_170 ),
inference(resolution,[],[f2104,f314]) ).
fof(f314,plain,
( aScalar0(xH)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f26766,plain,
( spl5_1012
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3136,f2103,f560,f548,f262,f26763]) ).
fof(f26763,plain,
( spl5_1012
<=> sz0z00 = sdtasdt0(smndt0(xG),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1012])]) ).
fof(f262,plain,
( spl5_6
<=> aScalar0(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f3136,plain,
( sz0z00 = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3124,f1164]) ).
fof(f1164,plain,
( sz0z00 = sdtasdt0(xG,sz0z00)
| ~ spl5_61
| ~ spl5_64 ),
inference(resolution,[],[f562,f549]) ).
fof(f3124,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_170 ),
inference(resolution,[],[f2104,f264]) ).
fof(f264,plain,
( aScalar0(xG)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f26761,plain,
( spl5_1011
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3135,f2103,f548,f522,f267,f26758]) ).
fof(f26758,plain,
( spl5_1011
<=> sz0z00 = sdtasdt0(smndt0(xF),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1011])]) ).
fof(f267,plain,
( spl5_7
<=> aScalar0(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f3135,plain,
( sz0z00 = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3123,f1157]) ).
fof(f1157,plain,
( sz0z00 = sdtasdt0(xF,sz0z00)
| ~ spl5_55
| ~ spl5_61 ),
inference(resolution,[],[f524,f549]) ).
fof(f3123,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_7
| ~ spl5_170 ),
inference(resolution,[],[f2104,f269]) ).
fof(f269,plain,
( aScalar0(xF)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f26756,plain,
( spl5_1010
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3134,f2103,f548,f484,f307,f26753]) ).
fof(f26753,plain,
( spl5_1010
<=> sz0z00 = sdtasdt0(smndt0(xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1010])]) ).
fof(f307,plain,
( spl5_15
<=> aScalar0(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f3134,plain,
( sz0z00 = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3122,f1150]) ).
fof(f1150,plain,
( sz0z00 = sdtasdt0(xE,sz0z00)
| ~ spl5_48
| ~ spl5_61 ),
inference(resolution,[],[f486,f549]) ).
fof(f3122,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_170 ),
inference(resolution,[],[f2104,f309]) ).
fof(f309,plain,
( aScalar0(xE)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f26751,plain,
( spl5_1009
| ~ spl5_9
| ~ spl5_42
| ~ spl5_61
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3133,f2103,f548,f452,f277,f26748]) ).
fof(f26748,plain,
( spl5_1009
<=> sz0z00 = sdtasdt0(smndt0(xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1009])]) ).
fof(f277,plain,
( spl5_9
<=> aScalar0(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f3133,plain,
( sz0z00 = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_42
| ~ spl5_61
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3121,f1110]) ).
fof(f1110,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_42
| ~ spl5_61 ),
inference(resolution,[],[f454,f549]) ).
fof(f3121,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_170 ),
inference(resolution,[],[f2104,f279]) ).
fof(f279,plain,
( aScalar0(xD)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f26746,plain,
( spl5_1008
| ~ spl5_8
| ~ spl5_36
| ~ spl5_61
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3132,f2103,f548,f425,f272,f26743]) ).
fof(f26743,plain,
( spl5_1008
<=> sz0z00 = sdtasdt0(smndt0(xC),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1008])]) ).
fof(f272,plain,
( spl5_8
<=> aScalar0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f425,plain,
( spl5_36
<=> sP2(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f3132,plain,
( sz0z00 = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_8
| ~ spl5_36
| ~ spl5_61
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3120,f1047]) ).
fof(f1047,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_36
| ~ spl5_61 ),
inference(resolution,[],[f427,f549]) ).
fof(f427,plain,
( sP2(xC)
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f3120,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_8
| ~ spl5_170 ),
inference(resolution,[],[f2104,f274]) ).
fof(f274,plain,
( aScalar0(xC)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f26741,plain,
( spl5_1007
| ~ spl5_12
| ~ spl5_170
| ~ spl5_172 ),
inference(avatar_split_clause,[],[f3131,f2464,f2103,f292,f26738]) ).
fof(f26738,plain,
( spl5_1007
<=> sz0z00 = sdtasdt0(smndt0(xB),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1007])]) ).
fof(f292,plain,
( spl5_12
<=> aScalar0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f2464,plain,
( spl5_172
<=> sz0z00 = sdtasdt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f3131,plain,
( sz0z00 = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_12
| ~ spl5_170
| ~ spl5_172 ),
inference(forward_demodulation,[],[f3119,f2466]) ).
fof(f2466,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_172 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f3119,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_12
| ~ spl5_170 ),
inference(resolution,[],[f2104,f294]) ).
fof(f294,plain,
( aScalar0(xB)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f26736,plain,
( spl5_1006
| ~ spl5_18
| ~ spl5_62
| ~ spl5_64
| ~ spl5_285
| ~ spl5_632 ),
inference(avatar_split_clause,[],[f16629,f15229,f5112,f560,f552,f322,f26733]) ).
fof(f26733,plain,
( spl5_1006
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1006])]) ).
fof(f15229,plain,
( spl5_632
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_632])]) ).
fof(f16629,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_62
| ~ spl5_64
| ~ spl5_285
| ~ spl5_632 ),
inference(forward_demodulation,[],[f16628,f1165]) ).
fof(f16628,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_632 ),
inference(forward_demodulation,[],[f16601,f5114]) ).
fof(f16601,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xG) = sdtasdt0(sz0z00,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_632 ),
inference(resolution,[],[f15230,f324]) ).
fof(f15230,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE))) )
| ~ spl5_632 ),
inference(avatar_component_clause,[],[f15229]) ).
fof(f26731,plain,
( spl5_1005
| ~ spl5_13
| ~ spl5_163
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3130,f2103,f1538,f297,f26728]) ).
fof(f26728,plain,
( spl5_1005
<=> sz0z00 = sdtasdt0(smndt0(xA),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1005])]) ).
fof(f297,plain,
( spl5_13
<=> aScalar0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1538,plain,
( spl5_163
<=> sz0z00 = sdtasdt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f3130,plain,
( sz0z00 = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_13
| ~ spl5_163
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3118,f1540]) ).
fof(f1540,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_163 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f3118,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_13
| ~ spl5_170 ),
inference(resolution,[],[f2104,f299]) ).
fof(f299,plain,
( aScalar0(xA)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f26726,plain,
( spl5_1004
| ~ spl5_45
| ~ spl5_74
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1233,f1225,f626,f467,f26723]) ).
fof(f26723,plain,
( spl5_1004
<=> xB = sdtlbdtrb0(xq,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1004])]) ).
fof(f467,plain,
( spl5_45
<=> xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f626,plain,
( spl5_74
<=> ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f1225,plain,
( spl5_112
<=> aNaturalNumber0(aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1233,plain,
( xB = sdtlbdtrb0(xq,aDimensionOf0(xt))
| ~ spl5_45
| ~ spl5_74
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1231,f469]) ).
fof(f469,plain,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f1231,plain,
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sdtlbdtrb0(xq,aDimensionOf0(xt))
| ~ spl5_74
| ~ spl5_112 ),
inference(resolution,[],[f1227,f627]) ).
fof(f627,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
| ~ spl5_74 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1227,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f26721,plain,
( spl5_1003
| ~ spl5_47
| ~ spl5_75
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1232,f1225,f630,f477,f26718]) ).
fof(f26718,plain,
( spl5_1003
<=> xA = sdtlbdtrb0(xp,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1003])]) ).
fof(f477,plain,
( spl5_47
<=> xA = sdtlbdtrb0(xs,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f630,plain,
( spl5_75
<=> ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f1232,plain,
( xA = sdtlbdtrb0(xp,aDimensionOf0(xt))
| ~ spl5_47
| ~ spl5_75
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1230,f479]) ).
fof(f479,plain,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xt))
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1230,plain,
( sdtlbdtrb0(xs,aDimensionOf0(xt)) = sdtlbdtrb0(xp,aDimensionOf0(xt))
| ~ spl5_75
| ~ spl5_112 ),
inference(resolution,[],[f1227,f631]) ).
fof(f631,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
| ~ spl5_75 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f26716,plain,
( spl5_1002
| ~ spl5_67
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1203,f769,f577,f26713]) ).
fof(f26713,plain,
( spl5_1002
<=> sz0z00 = sdtpldt0(smndt0(xN),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1002])]) ).
fof(f1203,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl5_67
| ~ spl5_91 ),
inference(resolution,[],[f771,f578]) ).
fof(f26711,plain,
( spl5_1001
| ~ spl5_66
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1202,f769,f573,f26708]) ).
fof(f26708,plain,
( spl5_1001
<=> sz0z00 = sdtpldt0(xN,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1001])]) ).
fof(f1202,plain,
( sz0z00 = sdtpldt0(xN,smndt0(xN))
| ~ spl5_66
| ~ spl5_91 ),
inference(resolution,[],[f771,f574]) ).
fof(f26706,plain,
( spl5_1000
| ~ spl5_67
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1196,f701,f577,f26703]) ).
fof(f26703,plain,
( spl5_1000
<=> sz0z00 = sdtpldt0(smndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1000])]) ).
fof(f1196,plain,
( sz0z00 = sdtpldt0(smndt0(xS),xS)
| ~ spl5_67
| ~ spl5_86 ),
inference(resolution,[],[f703,f578]) ).
fof(f26701,plain,
( spl5_999
| ~ spl5_66
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1195,f701,f573,f26698]) ).
fof(f26698,plain,
( spl5_999
<=> sz0z00 = sdtpldt0(xS,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_999])]) ).
fof(f1195,plain,
( sz0z00 = sdtpldt0(xS,smndt0(xS))
| ~ spl5_66
| ~ spl5_86 ),
inference(resolution,[],[f703,f574]) ).
fof(f26696,plain,
( spl5_998
| ~ spl5_67
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1189,f657,f577,f26693]) ).
fof(f26693,plain,
( spl5_998
<=> sz0z00 = sdtpldt0(smndt0(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_998])]) ).
fof(f1189,plain,
( sz0z00 = sdtpldt0(smndt0(xP),xP)
| ~ spl5_67
| ~ spl5_79 ),
inference(resolution,[],[f659,f578]) ).
fof(f26691,plain,
( spl5_997
| ~ spl5_66
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1188,f657,f573,f26688]) ).
fof(f26688,plain,
( spl5_997
<=> sz0z00 = sdtpldt0(xP,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_997])]) ).
fof(f1188,plain,
( sz0z00 = sdtpldt0(xP,smndt0(xP))
| ~ spl5_66
| ~ spl5_79 ),
inference(resolution,[],[f659,f574]) ).
fof(f26686,plain,
( spl5_996
| ~ spl5_67
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1182,f611,f577,f26683]) ).
fof(f26683,plain,
( spl5_996
<=> sz0z00 = sdtpldt0(smndt0(xR),xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_996])]) ).
fof(f1182,plain,
( sz0z00 = sdtpldt0(smndt0(xR),xR)
| ~ spl5_67
| ~ spl5_73 ),
inference(resolution,[],[f613,f578]) ).
fof(f26681,plain,
( spl5_995
| ~ spl5_18
| ~ spl5_55
| ~ spl5_62
| ~ spl5_287
| ~ spl5_631 ),
inference(avatar_split_clause,[],[f16593,f15225,f5689,f552,f522,f322,f26678]) ).
fof(f26678,plain,
( spl5_995
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_995])]) ).
fof(f15225,plain,
( spl5_631
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_631])]) ).
fof(f16593,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_55
| ~ spl5_62
| ~ spl5_287
| ~ spl5_631 ),
inference(forward_demodulation,[],[f16592,f1158]) ).
fof(f16592,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_631 ),
inference(forward_demodulation,[],[f16565,f5691]) ).
fof(f16565,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_631 ),
inference(resolution,[],[f15226,f324]) ).
fof(f15226,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD))) )
| ~ spl5_631 ),
inference(avatar_component_clause,[],[f15225]) ).
fof(f26676,plain,
( spl5_994
| ~ spl5_66
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1181,f611,f573,f26673]) ).
fof(f26673,plain,
( spl5_994
<=> sz0z00 = sdtpldt0(xR,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_994])]) ).
fof(f1181,plain,
( sz0z00 = sdtpldt0(xR,smndt0(xR))
| ~ spl5_66
| ~ spl5_73 ),
inference(resolution,[],[f613,f574]) ).
fof(f26671,plain,
( spl5_993
| ~ spl5_67
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1175,f581,f577,f26668]) ).
fof(f26668,plain,
( spl5_993
<=> sz0z00 = sdtpldt0(smndt0(xH),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_993])]) ).
fof(f1175,plain,
( sz0z00 = sdtpldt0(smndt0(xH),xH)
| ~ spl5_67
| ~ spl5_68 ),
inference(resolution,[],[f583,f578]) ).
fof(f26666,plain,
( spl5_992
| ~ spl5_66
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1174,f581,f573,f26663]) ).
fof(f26663,plain,
( spl5_992
<=> sz0z00 = sdtpldt0(xH,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_992])]) ).
fof(f1174,plain,
( sz0z00 = sdtpldt0(xH,smndt0(xH))
| ~ spl5_66
| ~ spl5_68 ),
inference(resolution,[],[f583,f574]) ).
fof(f26661,plain,
( spl5_991
| ~ spl5_64
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f1168,f577,f560,f26658]) ).
fof(f26658,plain,
( spl5_991
<=> sz0z00 = sdtpldt0(smndt0(xG),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_991])]) ).
fof(f1168,plain,
( sz0z00 = sdtpldt0(smndt0(xG),xG)
| ~ spl5_64
| ~ spl5_67 ),
inference(resolution,[],[f562,f578]) ).
fof(f26656,plain,
( spl5_990
| ~ spl5_64
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1167,f573,f560,f26653]) ).
fof(f26653,plain,
( spl5_990
<=> sz0z00 = sdtpldt0(xG,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_990])]) ).
fof(f1167,plain,
( sz0z00 = sdtpldt0(xG,smndt0(xG))
| ~ spl5_64
| ~ spl5_66 ),
inference(resolution,[],[f562,f574]) ).
fof(f26651,plain,
( spl5_989
| ~ spl5_55
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f1161,f577,f522,f26648]) ).
fof(f26648,plain,
( spl5_989
<=> sz0z00 = sdtpldt0(smndt0(xF),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_989])]) ).
fof(f1161,plain,
( sz0z00 = sdtpldt0(smndt0(xF),xF)
| ~ spl5_55
| ~ spl5_67 ),
inference(resolution,[],[f524,f578]) ).
fof(f26646,plain,
( spl5_988
| ~ spl5_55
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1160,f573,f522,f26643]) ).
fof(f26643,plain,
( spl5_988
<=> sz0z00 = sdtpldt0(xF,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_988])]) ).
fof(f1160,plain,
( sz0z00 = sdtpldt0(xF,smndt0(xF))
| ~ spl5_55
| ~ spl5_66 ),
inference(resolution,[],[f524,f574]) ).
fof(f26641,plain,
( spl5_987
| ~ spl5_48
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f1154,f577,f484,f26638]) ).
fof(f26638,plain,
( spl5_987
<=> sz0z00 = sdtpldt0(smndt0(xE),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_987])]) ).
fof(f1154,plain,
( sz0z00 = sdtpldt0(smndt0(xE),xE)
| ~ spl5_48
| ~ spl5_67 ),
inference(resolution,[],[f486,f578]) ).
fof(f26636,plain,
( spl5_986
| ~ spl5_48
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1153,f573,f484,f26633]) ).
fof(f26633,plain,
( spl5_986
<=> sz0z00 = sdtpldt0(xE,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_986])]) ).
fof(f1153,plain,
( sz0z00 = sdtpldt0(xE,smndt0(xE))
| ~ spl5_48
| ~ spl5_66 ),
inference(resolution,[],[f486,f574]) ).
fof(f26631,plain,
( spl5_985
| ~ spl5_42
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f1114,f577,f452,f26628]) ).
fof(f26628,plain,
( spl5_985
<=> sz0z00 = sdtpldt0(smndt0(xD),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_985])]) ).
fof(f1114,plain,
( sz0z00 = sdtpldt0(smndt0(xD),xD)
| ~ spl5_42
| ~ spl5_67 ),
inference(resolution,[],[f454,f578]) ).
fof(f26626,plain,
( spl5_984
| ~ spl5_18
| ~ spl5_55
| ~ spl5_62
| ~ spl5_285
| ~ spl5_630 ),
inference(avatar_split_clause,[],[f16559,f15221,f5112,f552,f522,f322,f26623]) ).
fof(f26623,plain,
( spl5_984
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_984])]) ).
fof(f15221,plain,
( spl5_630
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_630])]) ).
fof(f16559,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_55
| ~ spl5_62
| ~ spl5_285
| ~ spl5_630 ),
inference(forward_demodulation,[],[f16558,f1158]) ).
fof(f16558,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_630 ),
inference(forward_demodulation,[],[f16531,f5114]) ).
fof(f16531,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xF) = sdtasdt0(sz0z00,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_630 ),
inference(resolution,[],[f15222,f324]) ).
fof(f15222,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE))) )
| ~ spl5_630 ),
inference(avatar_component_clause,[],[f15221]) ).
fof(f26621,plain,
( spl5_983
| ~ spl5_42
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1113,f573,f452,f26618]) ).
fof(f26618,plain,
( spl5_983
<=> sz0z00 = sdtpldt0(xD,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_983])]) ).
fof(f1113,plain,
( sz0z00 = sdtpldt0(xD,smndt0(xD))
| ~ spl5_42
| ~ spl5_66 ),
inference(resolution,[],[f454,f574]) ).
fof(f26616,plain,
( spl5_982
| ~ spl5_36
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f1051,f577,f425,f26613]) ).
fof(f26613,plain,
( spl5_982
<=> sz0z00 = sdtpldt0(smndt0(xC),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_982])]) ).
fof(f1051,plain,
( sz0z00 = sdtpldt0(smndt0(xC),xC)
| ~ spl5_36
| ~ spl5_67 ),
inference(resolution,[],[f427,f578]) ).
fof(f26611,plain,
( spl5_981
| ~ spl5_36
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1050,f573,f425,f26608]) ).
fof(f26608,plain,
( spl5_981
<=> sz0z00 = sdtpldt0(xC,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_981])]) ).
fof(f1050,plain,
( sz0z00 = sdtpldt0(xC,smndt0(xC))
| ~ spl5_36
| ~ spl5_66 ),
inference(resolution,[],[f427,f574]) ).
fof(f26606,plain,
( spl5_980
| ~ spl5_35
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f955,f577,f419,f26603]) ).
fof(f26603,plain,
( spl5_980
<=> sz0z00 = sdtpldt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_980])]) ).
fof(f419,plain,
( spl5_35
<=> sP2(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f955,plain,
( sz0z00 = sdtpldt0(smndt0(xB),xB)
| ~ spl5_35
| ~ spl5_67 ),
inference(resolution,[],[f421,f578]) ).
fof(f421,plain,
( sP2(xB)
| ~ spl5_35 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f26601,plain,
( spl5_979
| ~ spl5_35
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f954,f573,f419,f26598]) ).
fof(f26598,plain,
( spl5_979
<=> sz0z00 = sdtpldt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_979])]) ).
fof(f954,plain,
( sz0z00 = sdtpldt0(xB,smndt0(xB))
| ~ spl5_35
| ~ spl5_66 ),
inference(resolution,[],[f421,f574]) ).
fof(f26596,plain,
( spl5_978
| ~ spl5_24
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f898,f577,f364,f26593]) ).
fof(f26593,plain,
( spl5_978
<=> sz0z00 = sdtpldt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_978])]) ).
fof(f364,plain,
( spl5_24
<=> sP2(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f898,plain,
( sz0z00 = sdtpldt0(smndt0(xA),xA)
| ~ spl5_24
| ~ spl5_67 ),
inference(resolution,[],[f366,f578]) ).
fof(f366,plain,
( sP2(xA)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f26591,plain,
( spl5_977
| ~ spl5_24
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f897,f573,f364,f26588]) ).
fof(f26588,plain,
( spl5_977
<=> sz0z00 = sdtpldt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_977])]) ).
fof(f897,plain,
( sz0z00 = sdtpldt0(xA,smndt0(xA))
| ~ spl5_24
| ~ spl5_66 ),
inference(resolution,[],[f366,f574]) ).
fof(f26431,plain,
( spl5_976
| ~ spl5_18
| ~ spl5_48
| ~ spl5_62
| ~ spl5_287
| ~ spl5_628 ),
inference(avatar_split_clause,[],[f16523,f15212,f5689,f552,f484,f322,f26428]) ).
fof(f26428,plain,
( spl5_976
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_976])]) ).
fof(f15212,plain,
( spl5_628
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_628])]) ).
fof(f16523,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_48
| ~ spl5_62
| ~ spl5_287
| ~ spl5_628 ),
inference(forward_demodulation,[],[f16522,f1151]) ).
fof(f16522,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_628 ),
inference(forward_demodulation,[],[f16495,f5691]) ).
fof(f16495,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_628 ),
inference(resolution,[],[f15213,f324]) ).
fof(f15213,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD))) )
| ~ spl5_628 ),
inference(avatar_component_clause,[],[f15212]) ).
fof(f26062,plain,
( spl5_975
| ~ spl5_18
| ~ spl5_48
| ~ spl5_62
| ~ spl5_285
| ~ spl5_627 ),
inference(avatar_split_clause,[],[f16489,f15208,f5112,f552,f484,f322,f26059]) ).
fof(f26059,plain,
( spl5_975
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_975])]) ).
fof(f15208,plain,
( spl5_627
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_627])]) ).
fof(f16489,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_48
| ~ spl5_62
| ~ spl5_285
| ~ spl5_627 ),
inference(forward_demodulation,[],[f16488,f1151]) ).
fof(f16488,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_627 ),
inference(forward_demodulation,[],[f16461,f5114]) ).
fof(f16461,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xE) = sdtasdt0(sz0z00,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_627 ),
inference(resolution,[],[f15209,f324]) ).
fof(f15209,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE))) )
| ~ spl5_627 ),
inference(avatar_component_clause,[],[f15208]) ).
fof(f25990,plain,
( spl5_974
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_328
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(avatar_split_clause,[],[f14886,f14574,f12955,f11092,f6798,f4451,f4433,f2027,f1205,f552,f540,f25988]) ).
fof(f25988,plain,
( spl5_974
<=> ! [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_974])]) ).
fof(f540,plain,
( spl5_59
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f6798,plain,
( spl5_328
<=> ! [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_328])]) ).
fof(f12955,plain,
( spl5_581
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_581])]) ).
fof(f14886,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_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_328
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14885,f1209]) ).
fof(f1209,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl5_59
| ~ spl5_110 ),
inference(resolution,[],[f1207,f541]) ).
fof(f541,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f14885,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_62
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_328
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14884,f14581]) ).
fof(f14884,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_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_328
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14722,f14450]) ).
fof(f14450,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_168
| ~ spl5_233
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14449,f14163]) ).
fof(f14449,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_233
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14321,f14300]) ).
fof(f14321,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_233
| ~ spl5_581 ),
inference(resolution,[],[f4434,f12956]) ).
fof(f12956,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl5_581 ),
inference(avatar_component_clause,[],[f12955]) ).
fof(f14722,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_235
| ~ spl5_328 ),
inference(resolution,[],[f4452,f6799]) ).
fof(f6799,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_328 ),
inference(avatar_component_clause,[],[f6798]) ).
fof(f25986,plain,
( spl5_973
| ~ spl5_233
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f14204,f4784,f4433,f25984]) ).
fof(f25984,plain,
( spl5_973
<=> ! [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_973])]) ).
fof(f4784,plain,
( spl5_251
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_251])]) ).
fof(f14204,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_233
| ~ spl5_251 ),
inference(resolution,[],[f4434,f4785]) ).
fof(f4785,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl5_251 ),
inference(avatar_component_clause,[],[f4784]) ).
fof(f25982,plain,
( spl5_972
| ~ spl5_233
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f14203,f4780,f4433,f25980]) ).
fof(f25980,plain,
( spl5_972
<=> ! [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_972])]) ).
fof(f4780,plain,
( spl5_250
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_250])]) ).
fof(f14203,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_233
| ~ spl5_250 ),
inference(resolution,[],[f4434,f4781]) ).
fof(f4781,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl5_250 ),
inference(avatar_component_clause,[],[f4780]) ).
fof(f25978,plain,
( spl5_971
| ~ spl5_87
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14130,f4433,f706,f25976]) ).
fof(f25976,plain,
( spl5_971
<=> ! [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_971])]) ).
fof(f706,plain,
( spl5_87
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f14130,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_87
| ~ spl5_233 ),
inference(resolution,[],[f4434,f707]) ).
fof(f707,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f25974,plain,
( spl5_970
| ~ spl5_85
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14129,f4433,f697,f25972]) ).
fof(f25972,plain,
( spl5_970
<=> ! [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_970])]) ).
fof(f697,plain,
( spl5_85
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f14129,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_85
| ~ spl5_233 ),
inference(resolution,[],[f4434,f698]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f25970,plain,
( spl5_969
| ~ spl5_84
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14128,f4433,f693,f25968]) ).
fof(f25968,plain,
( spl5_969
<=> ! [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_969])]) ).
fof(f693,plain,
( spl5_84
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f14128,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_84
| ~ spl5_233 ),
inference(resolution,[],[f4434,f694]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f25966,plain,
( spl5_968
| ~ spl5_230
| ~ spl5_352 ),
inference(avatar_split_clause,[],[f8041,f8032,f4421,f25964]) ).
fof(f25964,plain,
( spl5_968
<=> ! [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_968])]) ).
fof(f8032,plain,
( spl5_352
<=> ! [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_352])]) ).
fof(f8041,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_230
| ~ spl5_352 ),
inference(resolution,[],[f8033,f4422]) ).
fof(f8033,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_352 ),
inference(avatar_component_clause,[],[f8032]) ).
fof(f25962,plain,
( spl5_967
| ~ spl5_231
| ~ spl5_352 ),
inference(avatar_split_clause,[],[f8040,f8032,f4425,f25960]) ).
fof(f25960,plain,
( spl5_967
<=> ! [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_967])]) ).
fof(f8040,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_231
| ~ spl5_352 ),
inference(resolution,[],[f8033,f4426]) ).
fof(f25934,plain,
( spl5_966
| ~ spl5_232
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f7370,f4784,f4429,f25932]) ).
fof(f25932,plain,
( spl5_966
<=> ! [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_966])]) ).
fof(f7370,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_232
| ~ spl5_251 ),
inference(resolution,[],[f4430,f4785]) ).
fof(f25930,plain,
( spl5_965
| ~ spl5_232
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f7369,f4780,f4429,f25928]) ).
fof(f25928,plain,
( spl5_965
<=> ! [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_965])]) ).
fof(f7369,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_232
| ~ spl5_250 ),
inference(resolution,[],[f4430,f4781]) ).
fof(f25926,plain,
( spl5_964
| ~ spl5_87
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7296,f4429,f706,f25924]) ).
fof(f25924,plain,
( spl5_964
<=> ! [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_964])]) ).
fof(f7296,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_87
| ~ spl5_232 ),
inference(resolution,[],[f4430,f707]) ).
fof(f25922,plain,
( spl5_963
| ~ spl5_85
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7295,f4429,f697,f25920]) ).
fof(f25920,plain,
( spl5_963
<=> ! [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_963])]) ).
fof(f7295,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_85
| ~ spl5_232 ),
inference(resolution,[],[f4430,f698]) ).
fof(f25918,plain,
( spl5_962
| ~ spl5_84
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7294,f4429,f693,f25916]) ).
fof(f25916,plain,
( spl5_962
<=> ! [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_962])]) ).
fof(f7294,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_84
| ~ spl5_232 ),
inference(resolution,[],[f4430,f694]) ).
fof(f25914,plain,
( spl5_961
| ~ spl5_101
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4619,f4425,f1000,f25912]) ).
fof(f25912,plain,
( spl5_961
<=> ! [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_961])]) ).
fof(f1000,plain,
( spl5_101
<=> ! [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_101])]) ).
fof(f4619,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_101
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1001]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_101 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f25910,plain,
( spl5_960
| ~ spl5_101
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4473,f4421,f1000,f25908]) ).
fof(f25908,plain,
( spl5_960
<=> ! [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_960])]) ).
fof(f4473,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_101
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1001]) ).
fof(f25812,plain,
( spl5_959
| ~ spl5_18
| ~ spl5_224
| ~ spl5_287
| ~ spl5_626 ),
inference(avatar_split_clause,[],[f16448,f15204,f5689,f4165,f322,f25809]) ).
fof(f25809,plain,
( spl5_959
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_959])]) ).
fof(f4165,plain,
( spl5_224
<=> sz0z00 = sdtasdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_224])]) ).
fof(f15204,plain,
( spl5_626
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_626])]) ).
fof(f16448,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_224
| ~ spl5_287
| ~ spl5_626 ),
inference(forward_demodulation,[],[f16447,f4167]) ).
fof(f4167,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_224 ),
inference(avatar_component_clause,[],[f4165]) ).
fof(f16447,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_626 ),
inference(forward_demodulation,[],[f16420,f5691]) ).
fof(f16420,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_626 ),
inference(resolution,[],[f15205,f324]) ).
fof(f15205,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD))) )
| ~ spl5_626 ),
inference(avatar_component_clause,[],[f15204]) ).
fof(f25607,plain,
( spl5_958
| ~ spl5_18
| ~ spl5_224
| ~ spl5_285
| ~ spl5_625 ),
inference(avatar_split_clause,[],[f16414,f15200,f5112,f4165,f322,f25604]) ).
fof(f25604,plain,
( spl5_958
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_958])]) ).
fof(f15200,plain,
( spl5_625
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_625])]) ).
fof(f16414,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_224
| ~ spl5_285
| ~ spl5_625 ),
inference(forward_demodulation,[],[f16413,f4167]) ).
fof(f16413,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_625 ),
inference(forward_demodulation,[],[f16386,f5114]) ).
fof(f16386,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xD) = sdtasdt0(sz0z00,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_625 ),
inference(resolution,[],[f15201,f324]) ).
fof(f15201,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE))) )
| ~ spl5_625 ),
inference(avatar_component_clause,[],[f15200]) ).
fof(f25402,plain,
( spl5_957
| ~ spl5_18
| ~ spl5_202
| ~ spl5_287
| ~ spl5_624 ),
inference(avatar_split_clause,[],[f16378,f15196,f5689,f3276,f322,f25399]) ).
fof(f25399,plain,
( spl5_957
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_957])]) ).
fof(f15196,plain,
( spl5_624
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_624])]) ).
fof(f16378,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_202
| ~ spl5_287
| ~ spl5_624 ),
inference(forward_demodulation,[],[f16377,f3278]) ).
fof(f16377,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_624 ),
inference(forward_demodulation,[],[f16350,f5691]) ).
fof(f16350,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_624 ),
inference(resolution,[],[f15197,f324]) ).
fof(f15197,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD))) )
| ~ spl5_624 ),
inference(avatar_component_clause,[],[f15196]) ).
fof(f25197,plain,
( spl5_956
| ~ spl5_18
| ~ spl5_202
| ~ spl5_285
| ~ spl5_623 ),
inference(avatar_split_clause,[],[f16344,f15192,f5112,f3276,f322,f25194]) ).
fof(f25194,plain,
( spl5_956
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_956])]) ).
fof(f15192,plain,
( spl5_623
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_623])]) ).
fof(f16344,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_202
| ~ spl5_285
| ~ spl5_623 ),
inference(forward_demodulation,[],[f16343,f3278]) ).
fof(f16343,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_623 ),
inference(forward_demodulation,[],[f16316,f5114]) ).
fof(f16316,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xC) = sdtasdt0(sz0z00,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_623 ),
inference(resolution,[],[f15193,f324]) ).
fof(f15193,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE))) )
| ~ spl5_623 ),
inference(avatar_component_clause,[],[f15192]) ).
fof(f24948,plain,
( spl5_955
| ~ spl5_18
| ~ spl5_173
| ~ spl5_287
| ~ spl5_622 ),
inference(avatar_split_clause,[],[f16308,f15188,f5689,f2606,f322,f24945]) ).
fof(f24945,plain,
( spl5_955
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_955])]) ).
fof(f15188,plain,
( spl5_622
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_622])]) ).
fof(f16308,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_173
| ~ spl5_287
| ~ spl5_622 ),
inference(forward_demodulation,[],[f16307,f2608]) ).
fof(f16307,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_622 ),
inference(forward_demodulation,[],[f16280,f5691]) ).
fof(f16280,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_622 ),
inference(resolution,[],[f15189,f324]) ).
fof(f15189,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD))) )
| ~ spl5_622 ),
inference(avatar_component_clause,[],[f15188]) ).
fof(f24604,plain,
( spl5_954
| ~ spl5_18
| ~ spl5_173
| ~ spl5_285
| ~ spl5_621 ),
inference(avatar_split_clause,[],[f16274,f15184,f5112,f2606,f322,f24601]) ).
fof(f24601,plain,
( spl5_954
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_954])]) ).
fof(f15184,plain,
( spl5_621
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_621])]) ).
fof(f16274,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_173
| ~ spl5_285
| ~ spl5_621 ),
inference(forward_demodulation,[],[f16273,f2608]) ).
fof(f16273,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_621 ),
inference(forward_demodulation,[],[f16246,f5114]) ).
fof(f16246,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xB) = sdtasdt0(sz0z00,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_621 ),
inference(resolution,[],[f15185,f324]) ).
fof(f15185,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE))) )
| ~ spl5_621 ),
inference(avatar_component_clause,[],[f15184]) ).
fof(f24372,plain,
( spl5_953
| ~ spl5_18
| ~ spl5_164
| ~ spl5_287
| ~ spl5_620 ),
inference(avatar_split_clause,[],[f16238,f15180,f5689,f1733,f322,f24369]) ).
fof(f24369,plain,
( spl5_953
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_953])]) ).
fof(f15180,plain,
( spl5_620
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_620])]) ).
fof(f16238,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_164
| ~ spl5_287
| ~ spl5_620 ),
inference(forward_demodulation,[],[f16237,f1735]) ).
fof(f16237,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_287
| ~ spl5_620 ),
inference(forward_demodulation,[],[f16210,f5691]) ).
fof(f16210,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)),xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_620 ),
inference(resolution,[],[f15181,f324]) ).
fof(f15181,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD))) )
| ~ spl5_620 ),
inference(avatar_component_clause,[],[f15180]) ).
fof(f24167,plain,
( spl5_952
| ~ spl5_18
| ~ spl5_164
| ~ spl5_285
| ~ spl5_619 ),
inference(avatar_split_clause,[],[f16204,f15176,f5112,f1733,f322,f24164]) ).
fof(f24164,plain,
( spl5_952
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_952])]) ).
fof(f15176,plain,
( spl5_619
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_619])]) ).
fof(f16204,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_164
| ~ spl5_285
| ~ spl5_619 ),
inference(forward_demodulation,[],[f16203,f1735]) ).
fof(f16203,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_285
| ~ spl5_619 ),
inference(forward_demodulation,[],[f16176,f5114]) ).
fof(f16176,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)),xA) = sdtasdt0(sz0z00,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_619 ),
inference(resolution,[],[f15177,f324]) ).
fof(f15177,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE))) )
| ~ spl5_619 ),
inference(avatar_component_clause,[],[f15176]) ).
fof(f23631,plain,
( spl5_951
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_293
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(avatar_split_clause,[],[f14858,f14574,f12955,f11092,f5748,f4451,f4433,f2027,f1205,f552,f540,f23629]) ).
fof(f23629,plain,
( spl5_951
<=> ! [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_951])]) ).
fof(f14858,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_293
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14857,f1209]) ).
fof(f14857,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_62
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_293
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14856,f14581]) ).
fof(f14856,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_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_293
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14692,f14450]) ).
fof(f14692,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_235
| ~ spl5_293 ),
inference(resolution,[],[f4452,f5749]) ).
fof(f23627,plain,
( spl5_950
| ~ spl5_162
| ~ spl5_220
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14359,f4433,f3350,f1534,f23624]) ).
fof(f23624,plain,
( spl5_950
<=> 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_950])]) ).
fof(f3350,plain,
( spl5_220
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_220])]) ).
fof(f14359,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_162
| ~ spl5_220
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14201,f14161]) ).
fof(f14201,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xN)
| ~ spl5_220
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3351]) ).
fof(f3351,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN) )
| ~ spl5_220 ),
inference(avatar_component_clause,[],[f3350]) ).
fof(f23622,plain,
( spl5_949
| ~ spl5_161
| ~ spl5_219
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14358,f4433,f3346,f1530,f23619]) ).
fof(f23619,plain,
( spl5_949
<=> 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_949])]) ).
fof(f3346,plain,
( spl5_219
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_219])]) ).
fof(f14358,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_161
| ~ spl5_219
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14200,f14160]) ).
fof(f14200,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xS)
| ~ spl5_219
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3347]) ).
fof(f3347,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS) )
| ~ spl5_219 ),
inference(avatar_component_clause,[],[f3346]) ).
fof(f23617,plain,
( spl5_948
| ~ spl5_160
| ~ spl5_218
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14357,f4433,f3342,f1526,f23614]) ).
fof(f23614,plain,
( spl5_948
<=> 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_948])]) ).
fof(f3342,plain,
( spl5_218
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_218])]) ).
fof(f14357,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_160
| ~ spl5_218
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14199,f14159]) ).
fof(f14199,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xP)
| ~ spl5_218
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3343]) ).
fof(f3343,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP) )
| ~ spl5_218 ),
inference(avatar_component_clause,[],[f3342]) ).
fof(f23612,plain,
( spl5_947
| ~ spl5_159
| ~ spl5_217
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14356,f4433,f3338,f1522,f23609]) ).
fof(f23609,plain,
( spl5_947
<=> 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_947])]) ).
fof(f3338,plain,
( spl5_217
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_217])]) ).
fof(f14356,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_217
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14198,f14158]) ).
fof(f14198,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xR)
| ~ spl5_217
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3339]) ).
fof(f3339,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR) )
| ~ spl5_217 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f23607,plain,
( spl5_946
| ~ spl5_158
| ~ spl5_216
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14355,f4433,f3334,f1518,f23604]) ).
fof(f23604,plain,
( spl5_946
<=> 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_946])]) ).
fof(f3334,plain,
( spl5_216
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_216])]) ).
fof(f14355,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_216
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14197,f14157]) ).
fof(f14197,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xH)
| ~ spl5_216
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3335]) ).
fof(f3335,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH) )
| ~ spl5_216 ),
inference(avatar_component_clause,[],[f3334]) ).
fof(f23602,plain,
( spl5_945
| ~ spl5_157
| ~ spl5_215
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14354,f4433,f3330,f1514,f23599]) ).
fof(f23599,plain,
( spl5_945
<=> 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_945])]) ).
fof(f3330,plain,
( spl5_215
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_215])]) ).
fof(f14354,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_157
| ~ spl5_215
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14196,f14156]) ).
fof(f14196,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xG)
| ~ spl5_215
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3331]) ).
fof(f3331,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG) )
| ~ spl5_215 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f23597,plain,
( spl5_944
| ~ spl5_156
| ~ spl5_214
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14353,f4433,f3326,f1510,f23594]) ).
fof(f23594,plain,
( spl5_944
<=> 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_944])]) ).
fof(f3326,plain,
( spl5_214
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_214])]) ).
fof(f14353,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_156
| ~ spl5_214
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14195,f14155]) ).
fof(f14195,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xF)
| ~ spl5_214
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3327]) ).
fof(f3327,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF) )
| ~ spl5_214 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f23568,plain,
( spl5_943
| ~ spl5_155
| ~ spl5_212
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14352,f4433,f3317,f1506,f23565]) ).
fof(f23565,plain,
( spl5_943
<=> 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_943])]) ).
fof(f3317,plain,
( spl5_212
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_212])]) ).
fof(f14352,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_155
| ~ spl5_212
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14194,f14154]) ).
fof(f14194,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xE)
| ~ spl5_212
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3318]) ).
fof(f3318,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE) )
| ~ spl5_212 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f23563,plain,
( spl5_942
| ~ spl5_154
| ~ spl5_211
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14351,f4433,f3313,f1502,f23560]) ).
fof(f23560,plain,
( spl5_942
<=> 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_942])]) ).
fof(f3313,plain,
( spl5_211
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_211])]) ).
fof(f14351,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_154
| ~ spl5_211
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14193,f14153]) ).
fof(f14193,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xD)
| ~ spl5_211
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3314]) ).
fof(f3314,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD) )
| ~ spl5_211 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f23558,plain,
( spl5_941
| ~ spl5_153
| ~ spl5_210
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14350,f4433,f3309,f1498,f23555]) ).
fof(f23555,plain,
( spl5_941
<=> 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_941])]) ).
fof(f3309,plain,
( spl5_210
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_210])]) ).
fof(f14350,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_210
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14192,f14152]) ).
fof(f14192,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xC)
| ~ spl5_210
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3310]) ).
fof(f3310,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC) )
| ~ spl5_210 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f23553,plain,
( spl5_940
| ~ spl5_151
| ~ spl5_209
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14349,f4433,f3305,f1489,f23550]) ).
fof(f23550,plain,
( spl5_940
<=> 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_940])]) ).
fof(f3305,plain,
( spl5_209
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_209])]) ).
fof(f14349,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_209
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14191,f14151]) ).
fof(f14191,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xB)
| ~ spl5_209
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3306]) ).
fof(f3306,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB) )
| ~ spl5_209 ),
inference(avatar_component_clause,[],[f3305]) ).
fof(f23548,plain,
( spl5_939
| ~ spl5_150
| ~ spl5_208
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14348,f4433,f3301,f1485,f23545]) ).
fof(f23545,plain,
( spl5_939
<=> 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_939])]) ).
fof(f3301,plain,
( spl5_208
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_208])]) ).
fof(f14348,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_208
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14190,f14150]) ).
fof(f14190,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),xA)
| ~ spl5_208
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3302]) ).
fof(f3302,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA) )
| ~ spl5_208 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f23543,plain,
( spl5_938
| ~ spl5_162
| ~ spl5_207
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14347,f4433,f3297,f1534,f23540]) ).
fof(f23540,plain,
( spl5_938
<=> 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_938])]) ).
fof(f3297,plain,
( spl5_207
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_207])]) ).
fof(f14347,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_162
| ~ spl5_207
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14189,f14161]) ).
fof(f14189,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN))
| ~ spl5_207
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3298]) ).
fof(f3298,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN)) )
| ~ spl5_207 ),
inference(avatar_component_clause,[],[f3297]) ).
fof(f23538,plain,
( spl5_937
| ~ spl5_161
| ~ spl5_206
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14346,f4433,f3293,f1530,f23535]) ).
fof(f23535,plain,
( spl5_937
<=> 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_937])]) ).
fof(f3293,plain,
( spl5_206
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_206])]) ).
fof(f14346,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_161
| ~ spl5_206
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14188,f14160]) ).
fof(f14188,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS))
| ~ spl5_206
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3294]) ).
fof(f3294,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS)) )
| ~ spl5_206 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f23533,plain,
( spl5_936
| ~ spl5_160
| ~ spl5_205
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14345,f4433,f3289,f1526,f23530]) ).
fof(f23530,plain,
( spl5_936
<=> 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_936])]) ).
fof(f3289,plain,
( spl5_205
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_205])]) ).
fof(f14345,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_160
| ~ spl5_205
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14187,f14159]) ).
fof(f14187,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP))
| ~ spl5_205
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3290]) ).
fof(f3290,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP)) )
| ~ spl5_205 ),
inference(avatar_component_clause,[],[f3289]) ).
fof(f23528,plain,
( spl5_935
| ~ spl5_159
| ~ spl5_204
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14344,f4433,f3285,f1522,f23525]) ).
fof(f23525,plain,
( spl5_935
<=> 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_935])]) ).
fof(f3285,plain,
( spl5_204
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_204])]) ).
fof(f14344,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_204
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14186,f14158]) ).
fof(f14186,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR))
| ~ spl5_204
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3286]) ).
fof(f3286,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR)) )
| ~ spl5_204 ),
inference(avatar_component_clause,[],[f3285]) ).
fof(f23523,plain,
( spl5_934
| ~ spl5_158
| ~ spl5_203
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14343,f4433,f3281,f1518,f23520]) ).
fof(f23520,plain,
( spl5_934
<=> 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_934])]) ).
fof(f3281,plain,
( spl5_203
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_203])]) ).
fof(f14343,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_203
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14185,f14157]) ).
fof(f14185,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH))
| ~ spl5_203
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3282]) ).
fof(f3282,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH)) )
| ~ spl5_203 ),
inference(avatar_component_clause,[],[f3281]) ).
fof(f23494,plain,
( spl5_933
| ~ spl5_157
| ~ spl5_201
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14342,f4433,f3272,f1514,f23491]) ).
fof(f23491,plain,
( spl5_933
<=> 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_933])]) ).
fof(f3272,plain,
( spl5_201
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_201])]) ).
fof(f14342,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_157
| ~ spl5_201
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14184,f14156]) ).
fof(f14184,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG))
| ~ spl5_201
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3273]) ).
fof(f3273,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG)) )
| ~ spl5_201 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f23489,plain,
( spl5_932
| ~ spl5_156
| ~ spl5_200
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14341,f4433,f3268,f1510,f23486]) ).
fof(f23486,plain,
( spl5_932
<=> 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_932])]) ).
fof(f3268,plain,
( spl5_200
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_200])]) ).
fof(f14341,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_156
| ~ spl5_200
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14183,f14155]) ).
fof(f14183,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF))
| ~ spl5_200
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3269]) ).
fof(f3269,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF)) )
| ~ spl5_200 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f23484,plain,
( spl5_931
| ~ spl5_155
| ~ spl5_199
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14340,f4433,f3264,f1506,f23481]) ).
fof(f23481,plain,
( spl5_931
<=> 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_931])]) ).
fof(f3264,plain,
( spl5_199
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_199])]) ).
fof(f14340,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_155
| ~ spl5_199
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14182,f14154]) ).
fof(f14182,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE))
| ~ spl5_199
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3265]) ).
fof(f3265,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE)) )
| ~ spl5_199 ),
inference(avatar_component_clause,[],[f3264]) ).
fof(f23479,plain,
( spl5_930
| ~ spl5_154
| ~ spl5_198
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14339,f4433,f3260,f1502,f23476]) ).
fof(f23476,plain,
( spl5_930
<=> 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_930])]) ).
fof(f3260,plain,
( spl5_198
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_198])]) ).
fof(f14339,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_154
| ~ spl5_198
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14181,f14153]) ).
fof(f14181,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD))
| ~ spl5_198
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3261]) ).
fof(f3261,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD)) )
| ~ spl5_198 ),
inference(avatar_component_clause,[],[f3260]) ).
fof(f23474,plain,
( spl5_929
| ~ spl5_153
| ~ spl5_197
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14338,f4433,f3256,f1498,f23471]) ).
fof(f23471,plain,
( spl5_929
<=> 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_929])]) ).
fof(f3256,plain,
( spl5_197
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_197])]) ).
fof(f14338,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_197
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14180,f14152]) ).
fof(f14180,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC))
| ~ spl5_197
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3257]) ).
fof(f3257,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC)) )
| ~ spl5_197 ),
inference(avatar_component_clause,[],[f3256]) ).
fof(f23469,plain,
( spl5_928
| ~ spl5_151
| ~ spl5_196
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14337,f4433,f3252,f1489,f23466]) ).
fof(f23466,plain,
( spl5_928
<=> 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_928])]) ).
fof(f3252,plain,
( spl5_196
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_196])]) ).
fof(f14337,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_196
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14179,f14151]) ).
fof(f14179,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB))
| ~ spl5_196
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3253]) ).
fof(f3253,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB)) )
| ~ spl5_196 ),
inference(avatar_component_clause,[],[f3252]) ).
fof(f23464,plain,
( spl5_927
| ~ spl5_150
| ~ spl5_195
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14336,f4433,f3248,f1485,f23461]) ).
fof(f23461,plain,
( spl5_927
<=> 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_927])]) ).
fof(f3248,plain,
( spl5_195
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_195])]) ).
fof(f14336,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_195
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14178,f14150]) ).
fof(f14178,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA))
| ~ spl5_195
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3249]) ).
fof(f3249,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA)) )
| ~ spl5_195 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f23459,plain,
( spl5_926
| ~ spl5_162
| ~ spl5_194
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14335,f4433,f3244,f1534,f23456]) ).
fof(f23456,plain,
( spl5_926
<=> 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_926])]) ).
fof(f14335,plain,
( sdtasdt0(xN,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_162
| ~ spl5_194
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14177,f14161]) ).
fof(f14177,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xN) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_194
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3245]) ).
fof(f23454,plain,
( spl5_925
| ~ spl5_161
| ~ spl5_193
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14334,f4433,f3240,f1530,f23451]) ).
fof(f23451,plain,
( spl5_925
<=> 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_925])]) ).
fof(f14334,plain,
( sdtasdt0(xS,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_161
| ~ spl5_193
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14176,f14160]) ).
fof(f14176,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xS) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_193
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3241]) ).
fof(f23449,plain,
( spl5_924
| ~ spl5_160
| ~ spl5_192
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14333,f4433,f3236,f1526,f23446]) ).
fof(f23446,plain,
( spl5_924
<=> 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_924])]) ).
fof(f14333,plain,
( sdtasdt0(xP,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_160
| ~ spl5_192
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14175,f14159]) ).
fof(f14175,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xP) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_192
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3237]) ).
fof(f23420,plain,
( spl5_923
| ~ spl5_159
| ~ spl5_190
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14332,f4433,f3227,f1522,f23417]) ).
fof(f23417,plain,
( spl5_923
<=> 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_923])]) ).
fof(f14332,plain,
( sdtasdt0(xR,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_159
| ~ spl5_190
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14174,f14158]) ).
fof(f14174,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xR) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_190
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3228]) ).
fof(f23415,plain,
( spl5_922
| ~ spl5_158
| ~ spl5_189
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14331,f4433,f3223,f1518,f23412]) ).
fof(f23412,plain,
( spl5_922
<=> 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_922])]) ).
fof(f14331,plain,
( sdtasdt0(xH,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_158
| ~ spl5_189
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14173,f14157]) ).
fof(f14173,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xH) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_189
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3224]) ).
fof(f23410,plain,
( spl5_921
| ~ spl5_157
| ~ spl5_188
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14330,f4433,f3219,f1514,f23407]) ).
fof(f23407,plain,
( spl5_921
<=> 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_921])]) ).
fof(f14330,plain,
( sdtasdt0(xG,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_157
| ~ spl5_188
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14172,f14156]) ).
fof(f14172,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xG) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_188
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3220]) ).
fof(f23405,plain,
( spl5_920
| ~ spl5_156
| ~ spl5_187
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14329,f4433,f3215,f1510,f23402]) ).
fof(f23402,plain,
( spl5_920
<=> 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_920])]) ).
fof(f14329,plain,
( sdtasdt0(xF,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_156
| ~ spl5_187
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14171,f14155]) ).
fof(f14171,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xF) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_187
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3216]) ).
fof(f23400,plain,
( spl5_919
| ~ spl5_155
| ~ spl5_186
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14328,f4433,f3211,f1506,f23397]) ).
fof(f23397,plain,
( spl5_919
<=> 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_919])]) ).
fof(f14328,plain,
( sdtasdt0(xE,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_155
| ~ spl5_186
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14170,f14154]) ).
fof(f14170,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xE) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_186
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3212]) ).
fof(f23395,plain,
( spl5_918
| ~ spl5_154
| ~ spl5_185
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14327,f4433,f3207,f1502,f23392]) ).
fof(f23392,plain,
( spl5_918
<=> 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_918])]) ).
fof(f14327,plain,
( sdtasdt0(xD,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_154
| ~ spl5_185
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14169,f14153]) ).
fof(f14169,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xD) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_185
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3208]) ).
fof(f23390,plain,
( spl5_917
| ~ spl5_153
| ~ spl5_184
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14326,f4433,f3203,f1498,f23387]) ).
fof(f23387,plain,
( spl5_917
<=> 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_917])]) ).
fof(f14326,plain,
( sdtasdt0(xC,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_153
| ~ spl5_184
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14168,f14152]) ).
fof(f14168,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xC) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_184
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3204]) ).
fof(f23385,plain,
( spl5_916
| ~ spl5_151
| ~ spl5_183
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14325,f4433,f3199,f1489,f23382]) ).
fof(f23382,plain,
( spl5_916
<=> 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_916])]) ).
fof(f14325,plain,
( sdtasdt0(xB,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_151
| ~ spl5_183
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14167,f14151]) ).
fof(f14167,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xB) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_183
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3200]) ).
fof(f23380,plain,
( spl5_915
| ~ spl5_150
| ~ spl5_182
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14324,f4433,f3195,f1485,f23377]) ).
fof(f23377,plain,
( spl5_915
<=> 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_915])]) ).
fof(f14324,plain,
( sdtasdt0(xA,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_150
| ~ spl5_182
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14166,f14150]) ).
fof(f14166,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),xA) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_182
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3196]) ).
fof(f23375,plain,
( spl5_914
| ~ spl5_92
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14132,f4433,f805,f23373]) ).
fof(f23373,plain,
( spl5_914
<=> ! [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_914])]) ).
fof(f805,plain,
( spl5_92
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f14132,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) )
| ~ spl5_92
| ~ spl5_233 ),
inference(resolution,[],[f4434,f806]) ).
fof(f806,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl5_92 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f23347,plain,
( spl5_913
| ~ spl5_90
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14131,f4433,f717,f23345]) ).
fof(f23345,plain,
( spl5_913
<=> ! [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_913])]) ).
fof(f717,plain,
( spl5_90
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f14131,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),X0) )
| ~ spl5_90
| ~ spl5_233 ),
inference(resolution,[],[f4434,f718]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f23343,plain,
( spl5_912
| ~ spl5_230
| ~ spl5_345 ),
inference(avatar_split_clause,[],[f7942,f7527,f4421,f23341]) ).
fof(f23341,plain,
( spl5_912
<=> ! [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_912])]) ).
fof(f7527,plain,
( spl5_345
<=> ! [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_345])]) ).
fof(f7942,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_230
| ~ spl5_345 ),
inference(resolution,[],[f7528,f4422]) ).
fof(f7528,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) )
| ~ spl5_345 ),
inference(avatar_component_clause,[],[f7527]) ).
fof(f23339,plain,
( spl5_911
| ~ spl5_231
| ~ spl5_345 ),
inference(avatar_split_clause,[],[f7941,f7527,f4425,f23337]) ).
fof(f23337,plain,
( spl5_911
<=> ! [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_911])]) ).
fof(f7941,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_231
| ~ spl5_345 ),
inference(resolution,[],[f7528,f4426]) ).
fof(f23335,plain,
( spl5_910
| ~ spl5_230
| ~ spl5_344 ),
inference(avatar_split_clause,[],[f7918,f7523,f4421,f23333]) ).
fof(f23333,plain,
( spl5_910
<=> ! [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_910])]) ).
fof(f7523,plain,
( spl5_344
<=> ! [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_344])]) ).
fof(f7918,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xE,xE))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_230
| ~ spl5_344 ),
inference(resolution,[],[f7524,f4422]) ).
fof(f7524,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ spl5_344 ),
inference(avatar_component_clause,[],[f7523]) ).
fof(f23331,plain,
( spl5_909
| ~ spl5_231
| ~ spl5_344 ),
inference(avatar_split_clause,[],[f7917,f7523,f4425,f23329]) ).
fof(f23329,plain,
( spl5_909
<=> ! [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_909])]) ).
fof(f7917,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xC,xD))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_231
| ~ spl5_344 ),
inference(resolution,[],[f7524,f4426]) ).
fof(f23327,plain,
( spl5_908
| ~ spl5_230
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f7890,f7285,f4421,f23325]) ).
fof(f23325,plain,
( spl5_908
<=> ! [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_908])]) ).
fof(f7285,plain,
( spl5_342
<=> ! [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_342])]) ).
fof(f7890,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_342 ),
inference(resolution,[],[f7286,f4422]) ).
fof(f7286,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl5_342 ),
inference(avatar_component_clause,[],[f7285]) ).
fof(f23323,plain,
( spl5_907
| ~ spl5_231
| ~ spl5_342 ),
inference(avatar_split_clause,[],[f7889,f7285,f4425,f23321]) ).
fof(f23321,plain,
( spl5_907
<=> ! [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_907])]) ).
fof(f7889,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_342 ),
inference(resolution,[],[f7286,f4426]) ).
fof(f23319,plain,
( spl5_906
| ~ spl5_231
| ~ spl5_341 ),
inference(avatar_split_clause,[],[f7634,f7281,f4425,f23317]) ).
fof(f23317,plain,
( spl5_906
<=> ! [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_906])]) ).
fof(f7281,plain,
( spl5_341
<=> ! [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_341])]) ).
fof(f7634,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_341 ),
inference(resolution,[],[f7282,f4426]) ).
fof(f7282,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X1) )
| ~ spl5_341 ),
inference(avatar_component_clause,[],[f7281]) ).
fof(f23315,plain,
( spl5_905
| ~ spl5_230
| ~ spl5_341 ),
inference(avatar_split_clause,[],[f7633,f7281,f4421,f23313]) ).
fof(f23313,plain,
( spl5_905
<=> ! [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_905])]) ).
fof(f7633,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_341 ),
inference(resolution,[],[f7282,f4422]) ).
fof(f23311,plain,
( spl5_904
| ~ spl5_231
| ~ spl5_339 ),
inference(avatar_split_clause,[],[f7607,f7273,f4425,f23309]) ).
fof(f23309,plain,
( spl5_904
<=> ! [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_904])]) ).
fof(f7273,plain,
( spl5_339
<=> ! [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_339])]) ).
fof(f7607,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_339 ),
inference(resolution,[],[f7274,f4426]) ).
fof(f7274,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_339 ),
inference(avatar_component_clause,[],[f7273]) ).
fof(f23283,plain,
( spl5_903
| ~ spl5_230
| ~ spl5_339 ),
inference(avatar_split_clause,[],[f7606,f7273,f4421,f23281]) ).
fof(f23281,plain,
( spl5_903
<=> ! [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_903])]) ).
fof(f7606,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_339 ),
inference(resolution,[],[f7274,f4422]) ).
fof(f23279,plain,
( spl5_902
| ~ spl5_231
| ~ spl5_338 ),
inference(avatar_split_clause,[],[f7585,f7269,f4425,f23277]) ).
fof(f23277,plain,
( spl5_902
<=> ! [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_902])]) ).
fof(f7269,plain,
( spl5_338
<=> ! [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_338])]) ).
fof(f7585,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_338 ),
inference(resolution,[],[f7270,f4426]) ).
fof(f7270,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_338 ),
inference(avatar_component_clause,[],[f7269]) ).
fof(f23275,plain,
( spl5_901
| ~ spl5_230
| ~ spl5_338 ),
inference(avatar_split_clause,[],[f7584,f7269,f4421,f23273]) ).
fof(f23273,plain,
( spl5_901
<=> ! [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_901])]) ).
fof(f7584,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_338 ),
inference(resolution,[],[f7270,f4422]) ).
fof(f23271,plain,
( spl5_900
| ~ spl5_231
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f7558,f7261,f4425,f23269]) ).
fof(f23269,plain,
( spl5_900
<=> ! [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_900])]) ).
fof(f7261,plain,
( spl5_336
<=> ! [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_336])]) ).
fof(f7558,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_336 ),
inference(resolution,[],[f7262,f4426]) ).
fof(f7262,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_336 ),
inference(avatar_component_clause,[],[f7261]) ).
fof(f23267,plain,
( spl5_899
| ~ spl5_230
| ~ spl5_336 ),
inference(avatar_split_clause,[],[f7557,f7261,f4421,f23265]) ).
fof(f23265,plain,
( spl5_899
<=> ! [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_899])]) ).
fof(f7557,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_336 ),
inference(resolution,[],[f7262,f4422]) ).
fof(f23263,plain,
( spl5_898
| ~ spl5_231
| ~ spl5_335 ),
inference(avatar_split_clause,[],[f7536,f7257,f4425,f23261]) ).
fof(f23261,plain,
( spl5_898
<=> ! [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_898])]) ).
fof(f7257,plain,
( spl5_335
<=> ! [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_335])]) ).
fof(f7536,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xC,xD))))
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_335 ),
inference(resolution,[],[f7258,f4426]) ).
fof(f7258,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X1) )
| ~ spl5_335 ),
inference(avatar_component_clause,[],[f7257]) ).
fof(f23259,plain,
( spl5_897
| ~ spl5_230
| ~ spl5_335 ),
inference(avatar_split_clause,[],[f7535,f7257,f4421,f23257]) ).
fof(f23257,plain,
( spl5_897
<=> ! [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_897])]) ).
fof(f7535,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,sdtasdt0(xE,xE))))
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_335 ),
inference(resolution,[],[f7258,f4422]) ).
fof(f23255,plain,
( spl5_896
| ~ spl5_162
| ~ spl5_220
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7467,f4429,f3350,f1534,f23252]) ).
fof(f23252,plain,
( spl5_896
<=> 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_896])]) ).
fof(f7467,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_162
| ~ spl5_220
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7367,f7327]) ).
fof(f7367,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xN)
| ~ spl5_220
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3351]) ).
fof(f23250,plain,
( spl5_895
| ~ spl5_161
| ~ spl5_219
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7466,f4429,f3346,f1530,f23247]) ).
fof(f23247,plain,
( spl5_895
<=> 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_895])]) ).
fof(f7466,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_161
| ~ spl5_219
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7366,f7326]) ).
fof(f7366,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xS)
| ~ spl5_219
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3347]) ).
fof(f23245,plain,
( spl5_894
| ~ spl5_160
| ~ spl5_218
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7465,f4429,f3342,f1526,f23242]) ).
fof(f23242,plain,
( spl5_894
<=> 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_894])]) ).
fof(f7465,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_160
| ~ spl5_218
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7365,f7325]) ).
fof(f7365,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xP)
| ~ spl5_218
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3343]) ).
fof(f23240,plain,
( spl5_893
| ~ spl5_5
| ~ spl5_59
| ~ spl5_61
| ~ spl5_91
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13661,f12955,f1205,f769,f548,f540,f257,f23237]) ).
fof(f23237,plain,
( spl5_893
<=> sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_893])]) ).
fof(f13661,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_61
| ~ spl5_91
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13660,f1209]) ).
fof(f13660,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13614,f1199]) ).
fof(f13614,plain,
( sdtpldt0(sdtasdt0(xN,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_581 ),
inference(resolution,[],[f12956,f259]) ).
fof(f23235,plain,
( spl5_892
| ~ spl5_159
| ~ spl5_217
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7464,f4429,f3338,f1522,f23232]) ).
fof(f23232,plain,
( spl5_892
<=> 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_892])]) ).
fof(f7464,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_217
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7364,f7324]) ).
fof(f7364,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xR)
| ~ spl5_217
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3339]) ).
fof(f23230,plain,
( spl5_891
| ~ spl5_158
| ~ spl5_216
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7463,f4429,f3334,f1518,f23227]) ).
fof(f23227,plain,
( spl5_891
<=> 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_891])]) ).
fof(f7463,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_216
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7363,f7323]) ).
fof(f7363,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xH)
| ~ spl5_216
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3335]) ).
fof(f23225,plain,
( spl5_890
| ~ spl5_157
| ~ spl5_215
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7462,f4429,f3330,f1514,f23222]) ).
fof(f23222,plain,
( spl5_890
<=> 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_890])]) ).
fof(f7462,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_157
| ~ spl5_215
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7362,f7322]) ).
fof(f7362,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xG)
| ~ spl5_215
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3331]) ).
fof(f23220,plain,
( spl5_889
| ~ spl5_156
| ~ spl5_214
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7461,f4429,f3326,f1510,f23217]) ).
fof(f23217,plain,
( spl5_889
<=> 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_889])]) ).
fof(f7461,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_156
| ~ spl5_214
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7361,f7321]) ).
fof(f7361,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xF)
| ~ spl5_214
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3327]) ).
fof(f23215,plain,
( spl5_888
| ~ spl5_155
| ~ spl5_212
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7460,f4429,f3317,f1506,f23212]) ).
fof(f23212,plain,
( spl5_888
<=> 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_888])]) ).
fof(f7460,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_155
| ~ spl5_212
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7360,f7320]) ).
fof(f7360,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xE)
| ~ spl5_212
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3318]) ).
fof(f23210,plain,
( spl5_887
| ~ spl5_154
| ~ spl5_211
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7459,f4429,f3313,f1502,f23207]) ).
fof(f23207,plain,
( spl5_887
<=> 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_887])]) ).
fof(f7459,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_154
| ~ spl5_211
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7359,f7319]) ).
fof(f7359,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xD)
| ~ spl5_211
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3314]) ).
fof(f23205,plain,
( spl5_886
| ~ spl5_153
| ~ spl5_210
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7458,f4429,f3309,f1498,f23202]) ).
fof(f23202,plain,
( spl5_886
<=> 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_886])]) ).
fof(f7458,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_210
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7358,f7318]) ).
fof(f7358,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xC)
| ~ spl5_210
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3310]) ).
fof(f23200,plain,
( spl5_885
| ~ spl5_151
| ~ spl5_209
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7457,f4429,f3305,f1489,f23197]) ).
fof(f23197,plain,
( spl5_885
<=> 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_885])]) ).
fof(f7457,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_209
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7357,f7317]) ).
fof(f7357,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xB)
| ~ spl5_209
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3306]) ).
fof(f23195,plain,
( spl5_884
| ~ spl5_150
| ~ spl5_208
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7456,f4429,f3301,f1485,f23192]) ).
fof(f23192,plain,
( spl5_884
<=> 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_884])]) ).
fof(f7456,plain,
( sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_208
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7356,f7316]) ).
fof(f7356,plain,
( smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA)) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),xA)
| ~ spl5_208
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3302]) ).
fof(f23190,plain,
( spl5_883
| ~ spl5_162
| ~ spl5_207
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7455,f4429,f3297,f1534,f23187]) ).
fof(f23187,plain,
( spl5_883
<=> 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_883])]) ).
fof(f7455,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_162
| ~ spl5_207
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7355,f7327]) ).
fof(f7355,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xN)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN))
| ~ spl5_207
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3298]) ).
fof(f23185,plain,
( spl5_882
| ~ spl5_10
| ~ spl5_59
| ~ spl5_61
| ~ spl5_86
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13659,f12955,f1205,f701,f548,f540,f282,f23182]) ).
fof(f23182,plain,
( spl5_882
<=> sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_882])]) ).
fof(f13659,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_61
| ~ spl5_86
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13658,f1209]) ).
fof(f13658,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13613,f1192]) ).
fof(f13613,plain,
( sdtpldt0(sdtasdt0(xS,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_581 ),
inference(resolution,[],[f12956,f284]) ).
fof(f23180,plain,
( spl5_881
| ~ spl5_161
| ~ spl5_206
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7454,f4429,f3293,f1530,f23177]) ).
fof(f23177,plain,
( spl5_881
<=> 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_881])]) ).
fof(f7454,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_161
| ~ spl5_206
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7354,f7326]) ).
fof(f7354,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xS)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS))
| ~ spl5_206
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3294]) ).
fof(f23175,plain,
( spl5_880
| ~ spl5_160
| ~ spl5_205
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7453,f4429,f3289,f1526,f23172]) ).
fof(f23172,plain,
( spl5_880
<=> 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_880])]) ).
fof(f7453,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_160
| ~ spl5_205
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7353,f7325]) ).
fof(f7353,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xP)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP))
| ~ spl5_205
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3290]) ).
fof(f23170,plain,
( spl5_879
| ~ spl5_159
| ~ spl5_204
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7452,f4429,f3285,f1522,f23167]) ).
fof(f23167,plain,
( spl5_879
<=> 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_879])]) ).
fof(f7452,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_159
| ~ spl5_204
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7352,f7324]) ).
fof(f7352,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xR)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR))
| ~ spl5_204
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3286]) ).
fof(f23165,plain,
( spl5_878
| ~ spl5_158
| ~ spl5_203
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7451,f4429,f3281,f1518,f23162]) ).
fof(f23162,plain,
( spl5_878
<=> 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_878])]) ).
fof(f7451,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_158
| ~ spl5_203
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7351,f7323]) ).
fof(f7351,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xH)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH))
| ~ spl5_203
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3282]) ).
fof(f23160,plain,
( spl5_877
| ~ spl5_157
| ~ spl5_201
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7450,f4429,f3272,f1514,f23157]) ).
fof(f23157,plain,
( spl5_877
<=> 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_877])]) ).
fof(f7450,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_157
| ~ spl5_201
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7350,f7322]) ).
fof(f7350,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xG)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG))
| ~ spl5_201
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3273]) ).
fof(f23155,plain,
( spl5_876
| ~ spl5_156
| ~ spl5_200
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7449,f4429,f3268,f1510,f23152]) ).
fof(f23152,plain,
( spl5_876
<=> 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_876])]) ).
fof(f7449,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_156
| ~ spl5_200
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7349,f7321]) ).
fof(f7349,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xF)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF))
| ~ spl5_200
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3269]) ).
fof(f23150,plain,
( spl5_875
| ~ spl5_155
| ~ spl5_199
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7448,f4429,f3264,f1506,f23147]) ).
fof(f23147,plain,
( spl5_875
<=> 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_875])]) ).
fof(f7448,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_155
| ~ spl5_199
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7348,f7320]) ).
fof(f7348,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xE)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE))
| ~ spl5_199
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3265]) ).
fof(f23145,plain,
( spl5_874
| ~ spl5_154
| ~ spl5_198
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7447,f4429,f3260,f1502,f23142]) ).
fof(f23142,plain,
( spl5_874
<=> 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_874])]) ).
fof(f7447,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_154
| ~ spl5_198
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7347,f7319]) ).
fof(f7347,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xD)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD))
| ~ spl5_198
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3261]) ).
fof(f23140,plain,
( spl5_873
| ~ spl5_153
| ~ spl5_197
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7446,f4429,f3256,f1498,f23137]) ).
fof(f23137,plain,
( spl5_873
<=> 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_873])]) ).
fof(f7446,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_153
| ~ spl5_197
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7346,f7318]) ).
fof(f7346,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xC)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC))
| ~ spl5_197
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3257]) ).
fof(f23135,plain,
( spl5_872
| ~ spl5_151
| ~ spl5_196
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7445,f4429,f3252,f1489,f23132]) ).
fof(f23132,plain,
( spl5_872
<=> 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_872])]) ).
fof(f7445,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_151
| ~ spl5_196
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7345,f7317]) ).
fof(f7345,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xB)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB))
| ~ spl5_196
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3253]) ).
fof(f23130,plain,
( spl5_871
| ~ spl5_14
| ~ spl5_59
| ~ spl5_61
| ~ spl5_79
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13657,f12955,f1205,f657,f548,f540,f302,f23127]) ).
fof(f23127,plain,
( spl5_871
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_871])]) ).
fof(f13657,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_61
| ~ spl5_79
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13656,f1209]) ).
fof(f13656,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13612,f1185]) ).
fof(f13612,plain,
( sdtpldt0(sdtasdt0(xP,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_581 ),
inference(resolution,[],[f12956,f304]) ).
fof(f23125,plain,
( spl5_870
| ~ spl5_150
| ~ spl5_195
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7444,f4429,f3248,f1485,f23122]) ).
fof(f23122,plain,
( spl5_870
<=> 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_870])]) ).
fof(f7444,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_150
| ~ spl5_195
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7344,f7316]) ).
fof(f7344,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),smndt0(xA)) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA))
| ~ spl5_195
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3249]) ).
fof(f23120,plain,
( spl5_869
| ~ spl5_162
| ~ spl5_194
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7443,f4429,f3244,f1534,f23117]) ).
fof(f23117,plain,
( spl5_869
<=> 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_869])]) ).
fof(f7443,plain,
( sdtasdt0(xN,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_162
| ~ spl5_194
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7343,f7327]) ).
fof(f7343,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xN) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xN))
| ~ spl5_194
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3245]) ).
fof(f23115,plain,
( spl5_868
| ~ spl5_161
| ~ spl5_193
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7442,f4429,f3240,f1530,f23112]) ).
fof(f23112,plain,
( spl5_868
<=> 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_868])]) ).
fof(f7442,plain,
( sdtasdt0(xS,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_161
| ~ spl5_193
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7342,f7326]) ).
fof(f7342,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xS) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xS))
| ~ spl5_193
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3241]) ).
fof(f23110,plain,
( spl5_867
| ~ spl5_160
| ~ spl5_192
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7441,f4429,f3236,f1526,f23107]) ).
fof(f23107,plain,
( spl5_867
<=> 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_867])]) ).
fof(f7441,plain,
( sdtasdt0(xP,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_160
| ~ spl5_192
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7341,f7325]) ).
fof(f7341,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xP))
| ~ spl5_192
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3237]) ).
fof(f23105,plain,
( spl5_866
| ~ spl5_159
| ~ spl5_190
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7440,f4429,f3227,f1522,f23102]) ).
fof(f23102,plain,
( spl5_866
<=> 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_866])]) ).
fof(f7440,plain,
( sdtasdt0(xR,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_159
| ~ spl5_190
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7340,f7324]) ).
fof(f7340,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xR) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xR))
| ~ spl5_190
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3228]) ).
fof(f23100,plain,
( spl5_865
| ~ spl5_158
| ~ spl5_189
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7439,f4429,f3223,f1518,f23097]) ).
fof(f23097,plain,
( spl5_865
<=> 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_865])]) ).
fof(f7439,plain,
( sdtasdt0(xH,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_158
| ~ spl5_189
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7339,f7323]) ).
fof(f7339,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xH))
| ~ spl5_189
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3224]) ).
fof(f23095,plain,
( spl5_864
| ~ spl5_157
| ~ spl5_188
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7438,f4429,f3219,f1514,f23092]) ).
fof(f23092,plain,
( spl5_864
<=> 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_864])]) ).
fof(f7438,plain,
( sdtasdt0(xG,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_157
| ~ spl5_188
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7338,f7322]) ).
fof(f7338,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xG) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xG))
| ~ spl5_188
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3220]) ).
fof(f23090,plain,
( spl5_863
| ~ spl5_156
| ~ spl5_187
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7437,f4429,f3215,f1510,f23087]) ).
fof(f23087,plain,
( spl5_863
<=> 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_863])]) ).
fof(f7437,plain,
( sdtasdt0(xF,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_156
| ~ spl5_187
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7337,f7321]) ).
fof(f7337,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xF) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xF))
| ~ spl5_187
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3216]) ).
fof(f23085,plain,
( spl5_862
| ~ spl5_155
| ~ spl5_186
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7436,f4429,f3211,f1506,f23082]) ).
fof(f23082,plain,
( spl5_862
<=> 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_862])]) ).
fof(f7436,plain,
( sdtasdt0(xE,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_155
| ~ spl5_186
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7336,f7320]) ).
fof(f7336,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xE))
| ~ spl5_186
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3212]) ).
fof(f23080,plain,
( spl5_861
| ~ spl5_154
| ~ spl5_185
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7435,f4429,f3207,f1502,f23077]) ).
fof(f23077,plain,
( spl5_861
<=> 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_861])]) ).
fof(f7435,plain,
( sdtasdt0(xD,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_154
| ~ spl5_185
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7335,f7319]) ).
fof(f7335,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xD) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xD))
| ~ spl5_185
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3208]) ).
fof(f23075,plain,
( spl5_860
| ~ spl5_11
| ~ spl5_59
| ~ spl5_61
| ~ spl5_73
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13655,f12955,f1205,f611,f548,f540,f287,f23072]) ).
fof(f23072,plain,
( spl5_860
<=> sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_860])]) ).
fof(f13655,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_61
| ~ spl5_73
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13654,f1209]) ).
fof(f13654,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13611,f1178]) ).
fof(f13611,plain,
( sdtpldt0(sdtasdt0(xR,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_581 ),
inference(resolution,[],[f12956,f289]) ).
fof(f23070,plain,
( spl5_859
| ~ spl5_153
| ~ spl5_184
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7434,f4429,f3203,f1498,f23067]) ).
fof(f23067,plain,
( spl5_859
<=> 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_859])]) ).
fof(f7434,plain,
( sdtasdt0(xC,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_153
| ~ spl5_184
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7334,f7318]) ).
fof(f7334,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xC) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xC))
| ~ spl5_184
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3204]) ).
fof(f23065,plain,
( spl5_858
| ~ spl5_151
| ~ spl5_183
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7433,f4429,f3199,f1489,f23062]) ).
fof(f23062,plain,
( spl5_858
<=> 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_858])]) ).
fof(f7433,plain,
( sdtasdt0(xB,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_151
| ~ spl5_183
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7333,f7317]) ).
fof(f7333,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xB) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xB))
| ~ spl5_183
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3200]) ).
fof(f23060,plain,
( spl5_857
| ~ spl5_150
| ~ spl5_182
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7432,f4429,f3195,f1485,f23057]) ).
fof(f23057,plain,
( spl5_857
<=> 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_857])]) ).
fof(f7432,plain,
( sdtasdt0(xA,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_150
| ~ spl5_182
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7332,f7316]) ).
fof(f7332,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),xA) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),smndt0(xA))
| ~ spl5_182
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3196]) ).
fof(f23055,plain,
( spl5_856
| ~ spl5_92
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7298,f4429,f805,f23053]) ).
fof(f23053,plain,
( spl5_856
<=> ! [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_856])]) ).
fof(f7298,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) )
| ~ spl5_92
| ~ spl5_232 ),
inference(resolution,[],[f4430,f806]) ).
fof(f23051,plain,
( spl5_855
| ~ spl5_90
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7297,f4429,f717,f23049]) ).
fof(f23049,plain,
( spl5_855
<=> ! [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_855])]) ).
fof(f7297,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),X0) )
| ~ spl5_90
| ~ spl5_232 ),
inference(resolution,[],[f4430,f718]) ).
fof(f23047,plain,
( spl5_854
| ~ spl5_100
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4618,f4425,f996,f23045]) ).
fof(f23045,plain,
( spl5_854
<=> ! [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_854])]) ).
fof(f996,plain,
( spl5_100
<=> ! [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_100])]) ).
fof(f4618,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_100
| ~ spl5_231 ),
inference(resolution,[],[f4426,f997]) ).
fof(f997,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_100 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f23043,plain,
( spl5_853
| ~ spl5_100
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4472,f4421,f996,f23041]) ).
fof(f23041,plain,
( spl5_853
<=> ! [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_853])]) ).
fof(f4472,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_100
| ~ spl5_230 ),
inference(resolution,[],[f4422,f997]) ).
fof(f22974,plain,
( spl5_852
| ~ spl5_63
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1213,f1205,f556,f22971]) ).
fof(f22971,plain,
( spl5_852
<=> sz0z00 = smndt0(smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_852])]) ).
fof(f1213,plain,
( sz0z00 = smndt0(smndt0(sz0z00))
| ~ spl5_63
| ~ spl5_110 ),
inference(resolution,[],[f1207,f557]) ).
fof(f22969,plain,
( spl5_851
| ~ spl5_16
| ~ spl5_59
| ~ spl5_61
| ~ spl5_68
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13653,f12955,f1205,f581,f548,f540,f312,f22966]) ).
fof(f22966,plain,
( spl5_851
<=> sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_851])]) ).
fof(f13653,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_61
| ~ spl5_68
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13652,f1209]) ).
fof(f13652,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13610,f1171]) ).
fof(f13610,plain,
( sdtpldt0(sdtasdt0(xH,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_581 ),
inference(resolution,[],[f12956,f314]) ).
fof(f22964,plain,
( spl5_850
| ~ spl5_61
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1211,f1205,f548,f22961]) ).
fof(f22961,plain,
( spl5_850
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_850])]) ).
fof(f1211,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl5_61
| ~ spl5_110 ),
inference(resolution,[],[f1207,f549]) ).
fof(f22959,plain,
( spl5_849
| ~ spl5_59
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1209,f1205,f540,f22956]) ).
fof(f22956,plain,
( spl5_849
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_849])]) ).
fof(f22804,plain,
( spl5_848
| ~ spl5_6
| ~ spl5_59
| ~ spl5_61
| ~ spl5_64
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13651,f12955,f1205,f560,f548,f540,f262,f22801]) ).
fof(f22801,plain,
( spl5_848
<=> sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_848])]) ).
fof(f13651,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_61
| ~ spl5_64
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13650,f1209]) ).
fof(f13650,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13609,f1164]) ).
fof(f13609,plain,
( sdtpldt0(sdtasdt0(xG,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_581 ),
inference(resolution,[],[f12956,f264]) ).
fof(f22639,plain,
( spl5_847
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13649,f12955,f1205,f548,f540,f522,f267,f22636]) ).
fof(f22636,plain,
( spl5_847
<=> sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_847])]) ).
fof(f13649,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13648,f1209]) ).
fof(f13648,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13608,f1157]) ).
fof(f13608,plain,
( sdtpldt0(sdtasdt0(xF,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_581 ),
inference(resolution,[],[f12956,f269]) ).
fof(f22473,plain,
( spl5_846
| ~ spl5_15
| ~ spl5_48
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13647,f12955,f1205,f548,f540,f484,f307,f22470]) ).
fof(f22470,plain,
( spl5_846
<=> sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_846])]) ).
fof(f13647,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13646,f1209]) ).
fof(f13646,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13607,f1150]) ).
fof(f13607,plain,
( sdtpldt0(sdtasdt0(xE,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_581 ),
inference(resolution,[],[f12956,f309]) ).
fof(f22307,plain,
( spl5_845
| ~ spl5_9
| ~ spl5_59
| ~ spl5_110
| ~ spl5_223
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13645,f12955,f3906,f1205,f540,f277,f22304]) ).
fof(f22304,plain,
( spl5_845
<=> sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_845])]) ).
fof(f3906,plain,
( spl5_223
<=> sz0z00 = sdtasdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_223])]) ).
fof(f13645,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_59
| ~ spl5_110
| ~ spl5_223
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13644,f1209]) ).
fof(f13644,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_223
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13606,f3908]) ).
fof(f3908,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_223 ),
inference(avatar_component_clause,[],[f3906]) ).
fof(f13606,plain,
( sdtpldt0(sdtasdt0(xD,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_581 ),
inference(resolution,[],[f12956,f279]) ).
fof(f22141,plain,
( spl5_844
| ~ spl5_8
| ~ spl5_59
| ~ spl5_110
| ~ spl5_191
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13643,f12955,f3231,f1205,f540,f272,f22138]) ).
fof(f22138,plain,
( spl5_844
<=> sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_844])]) ).
fof(f3231,plain,
( spl5_191
<=> sz0z00 = sdtasdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_191])]) ).
fof(f13643,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_59
| ~ spl5_110
| ~ spl5_191
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13642,f1209]) ).
fof(f13642,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_191
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13605,f3233]) ).
fof(f3233,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_191 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f13605,plain,
( sdtpldt0(sdtasdt0(xC,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_581 ),
inference(resolution,[],[f12956,f274]) ).
fof(f21974,plain,
( spl5_843
| ~ spl5_12
| ~ spl5_59
| ~ spl5_110
| ~ spl5_172
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13641,f12955,f2464,f1205,f540,f292,f21971]) ).
fof(f21971,plain,
( spl5_843
<=> sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_843])]) ).
fof(f13641,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_59
| ~ spl5_110
| ~ spl5_172
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13640,f1209]) ).
fof(f13640,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_172
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13604,f2466]) ).
fof(f13604,plain,
( sdtpldt0(sdtasdt0(xB,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_581 ),
inference(resolution,[],[f12956,f294]) ).
fof(f21939,plain,
( spl5_842
| ~ spl5_10
| ~ spl5_25
| ~ spl5_159 ),
inference(avatar_split_clause,[],[f1959,f1522,f369,f282,f21936]) ).
fof(f21936,plain,
( spl5_842
<=> xN = sdtasdt0(xS,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_842])]) ).
fof(f369,plain,
( spl5_25
<=> xN = sdtasdt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1959,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_10
| ~ spl5_25
| ~ spl5_159 ),
inference(forward_demodulation,[],[f1956,f371]) ).
fof(f371,plain,
( xN = sdtasdt0(xR,xS)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f1956,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_10
| ~ spl5_159 ),
inference(resolution,[],[f1523,f284]) ).
fof(f21932,plain,
( spl5_841
| ~ spl5_16
| ~ spl5_32
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1874,f1506,f404,f312,f21929]) ).
fof(f21929,plain,
( spl5_841
<=> xP = sdtasdt0(xH,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_841])]) ).
fof(f404,plain,
( spl5_32
<=> xP = sdtasdt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f1874,plain,
( xP = sdtasdt0(xH,xE)
| ~ spl5_16
| ~ spl5_32
| ~ spl5_155 ),
inference(forward_demodulation,[],[f1868,f406]) ).
fof(f406,plain,
( xP = sdtasdt0(xE,xH)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f1868,plain,
( sdtasdt0(xE,xH) = sdtasdt0(xH,xE)
| ~ spl5_16
| ~ spl5_155 ),
inference(resolution,[],[f1507,f314]) ).
fof(f21927,plain,
( spl5_840
| ~ spl5_7
| ~ spl5_30
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1854,f1502,f394,f267,f21924]) ).
fof(f21924,plain,
( spl5_840
<=> xS = sdtasdt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_840])]) ).
fof(f394,plain,
( spl5_30
<=> xS = sdtasdt0(xF,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f1854,plain,
( xS = sdtasdt0(xD,xF)
| ~ spl5_7
| ~ spl5_30
| ~ spl5_154 ),
inference(forward_demodulation,[],[f1846,f396]) ).
fof(f396,plain,
( xS = sdtasdt0(xF,xD)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f1846,plain,
( sdtasdt0(xF,xD) = sdtasdt0(xD,xF)
| ~ spl5_7
| ~ spl5_154 ),
inference(resolution,[],[f1503,f269]) ).
fof(f21922,plain,
( spl5_839
| ~ spl5_6
| ~ spl5_31
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1834,f1498,f399,f262,f21919]) ).
fof(f21919,plain,
( spl5_839
<=> xR = sdtasdt0(xG,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_839])]) ).
fof(f399,plain,
( spl5_31
<=> xR = sdtasdt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1834,plain,
( xR = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_31
| ~ spl5_153 ),
inference(forward_demodulation,[],[f1827,f401]) ).
fof(f401,plain,
( xR = sdtasdt0(xC,xG)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1827,plain,
( sdtasdt0(xC,xG) = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_153 ),
inference(resolution,[],[f1499,f264]) ).
fof(f21917,plain,
( spl5_838
| ~ spl5_12
| ~ spl5_34
| ~ spl5_150 ),
inference(avatar_split_clause,[],[f1794,f1485,f414,f292,f21914]) ).
fof(f21914,plain,
( spl5_838
<=> xH = sdtasdt0(xB,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_838])]) ).
fof(f414,plain,
( spl5_34
<=> xH = sdtasdt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f1794,plain,
( xH = sdtasdt0(xB,xA)
| ~ spl5_12
| ~ spl5_34
| ~ spl5_150 ),
inference(forward_demodulation,[],[f1782,f416]) ).
fof(f416,plain,
( xH = sdtasdt0(xA,xB)
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f1782,plain,
( sdtasdt0(xA,xB) = sdtasdt0(xB,xA)
| ~ spl5_12
| ~ spl5_150 ),
inference(resolution,[],[f1486,f294]) ).
fof(f21862,plain,
( spl5_837
| ~ spl5_13
| ~ spl5_59
| ~ spl5_110
| ~ spl5_163
| ~ spl5_581 ),
inference(avatar_split_clause,[],[f13639,f12955,f1538,f1205,f540,f297,f21859]) ).
fof(f21859,plain,
( spl5_837
<=> sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_837])]) ).
fof(f13639,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_59
| ~ spl5_110
| ~ spl5_163
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13638,f1209]) ).
fof(f13638,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_163
| ~ spl5_581 ),
inference(forward_demodulation,[],[f13603,f1540]) ).
fof(f13603,plain,
( sdtpldt0(sdtasdt0(xA,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_581 ),
inference(resolution,[],[f12956,f299]) ).
fof(f21827,plain,
( spl5_836
| ~ spl5_63
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1201,f769,f556,f21824]) ).
fof(f21824,plain,
( spl5_836
<=> xN = smndt0(smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_836])]) ).
fof(f1201,plain,
( xN = smndt0(smndt0(xN))
| ~ spl5_63
| ~ spl5_91 ),
inference(resolution,[],[f771,f557]) ).
fof(f21822,plain,
( spl5_835
| ~ spl5_62
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1200,f769,f552,f21819]) ).
fof(f21819,plain,
( spl5_835
<=> sz0z00 = sdtasdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_835])]) ).
fof(f21817,plain,
( spl5_834
| ~ spl5_61
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1199,f769,f548,f21814]) ).
fof(f21814,plain,
( spl5_834
<=> sz0z00 = sdtasdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_834])]) ).
fof(f21812,plain,
( spl5_833
| ~ spl5_60
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1198,f769,f544,f21809]) ).
fof(f21809,plain,
( spl5_833
<=> xN = sdtpldt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_833])]) ).
fof(f1198,plain,
( xN = sdtpldt0(sz0z00,xN)
| ~ spl5_60
| ~ spl5_91 ),
inference(resolution,[],[f771,f545]) ).
fof(f21807,plain,
( spl5_832
| ~ spl5_59
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1197,f769,f540,f21804]) ).
fof(f21804,plain,
( spl5_832
<=> xN = sdtpldt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_832])]) ).
fof(f1197,plain,
( xN = sdtpldt0(xN,sz0z00)
| ~ spl5_59
| ~ spl5_91 ),
inference(resolution,[],[f771,f541]) ).
fof(f21802,plain,
( spl5_831
| ~ spl5_63
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1194,f701,f556,f21799]) ).
fof(f21799,plain,
( spl5_831
<=> xS = smndt0(smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_831])]) ).
fof(f1194,plain,
( xS = smndt0(smndt0(xS))
| ~ spl5_63
| ~ spl5_86 ),
inference(resolution,[],[f703,f557]) ).
fof(f21797,plain,
( spl5_830
| ~ spl5_62
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1193,f701,f552,f21794]) ).
fof(f21794,plain,
( spl5_830
<=> sz0z00 = sdtasdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_830])]) ).
fof(f21792,plain,
( spl5_829
| ~ spl5_61
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1192,f701,f548,f21789]) ).
fof(f21789,plain,
( spl5_829
<=> sz0z00 = sdtasdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_829])]) ).
fof(f21787,plain,
( spl5_828
| ~ spl5_5
| ~ spl5_59
| ~ spl5_61
| ~ spl5_91
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13590,f12951,f1205,f769,f548,f540,f257,f21784]) ).
fof(f21784,plain,
( spl5_828
<=> sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_828])]) ).
fof(f12951,plain,
( spl5_580
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_580])]) ).
fof(f13590,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_59
| ~ spl5_61
| ~ spl5_91
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13589,f1209]) ).
fof(f13589,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13544,f1199]) ).
fof(f13544,plain,
( sdtasdt0(sdtpldt0(xN,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xN,sz0z00),sz0z00)
| ~ spl5_5
| ~ spl5_580 ),
inference(resolution,[],[f12952,f259]) ).
fof(f12952,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl5_580 ),
inference(avatar_component_clause,[],[f12951]) ).
fof(f21782,plain,
( spl5_827
| ~ spl5_60
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1191,f701,f544,f21779]) ).
fof(f21779,plain,
( spl5_827
<=> xS = sdtpldt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_827])]) ).
fof(f1191,plain,
( xS = sdtpldt0(sz0z00,xS)
| ~ spl5_60
| ~ spl5_86 ),
inference(resolution,[],[f703,f545]) ).
fof(f21777,plain,
( spl5_826
| ~ spl5_59
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1190,f701,f540,f21774]) ).
fof(f21774,plain,
( spl5_826
<=> xS = sdtpldt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_826])]) ).
fof(f1190,plain,
( xS = sdtpldt0(xS,sz0z00)
| ~ spl5_59
| ~ spl5_86 ),
inference(resolution,[],[f703,f541]) ).
fof(f21772,plain,
( spl5_825
| ~ spl5_63
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1187,f657,f556,f21769]) ).
fof(f21769,plain,
( spl5_825
<=> xP = smndt0(smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_825])]) ).
fof(f1187,plain,
( xP = smndt0(smndt0(xP))
| ~ spl5_63
| ~ spl5_79 ),
inference(resolution,[],[f659,f557]) ).
fof(f21767,plain,
( spl5_824
| ~ spl5_62
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1186,f657,f552,f21764]) ).
fof(f21764,plain,
( spl5_824
<=> sz0z00 = sdtasdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_824])]) ).
fof(f21762,plain,
( spl5_823
| ~ spl5_61
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1185,f657,f548,f21759]) ).
fof(f21759,plain,
( spl5_823
<=> sz0z00 = sdtasdt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_823])]) ).
fof(f21757,plain,
( spl5_822
| ~ spl5_60
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1184,f657,f544,f21754]) ).
fof(f21754,plain,
( spl5_822
<=> xP = sdtpldt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_822])]) ).
fof(f1184,plain,
( xP = sdtpldt0(sz0z00,xP)
| ~ spl5_60
| ~ spl5_79 ),
inference(resolution,[],[f659,f545]) ).
fof(f21752,plain,
( spl5_821
| ~ spl5_59
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1183,f657,f540,f21749]) ).
fof(f21749,plain,
( spl5_821
<=> xP = sdtpldt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_821])]) ).
fof(f1183,plain,
( xP = sdtpldt0(xP,sz0z00)
| ~ spl5_59
| ~ spl5_79 ),
inference(resolution,[],[f659,f541]) ).
fof(f21747,plain,
( spl5_820
| ~ spl5_63
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1180,f611,f556,f21744]) ).
fof(f21744,plain,
( spl5_820
<=> xR = smndt0(smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_820])]) ).
fof(f1180,plain,
( xR = smndt0(smndt0(xR))
| ~ spl5_63
| ~ spl5_73 ),
inference(resolution,[],[f613,f557]) ).
fof(f21742,plain,
( spl5_819
| ~ spl5_62
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1179,f611,f552,f21739]) ).
fof(f21739,plain,
( spl5_819
<=> sz0z00 = sdtasdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_819])]) ).
fof(f21737,plain,
( spl5_818
| ~ spl5_61
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1178,f611,f548,f21734]) ).
fof(f21734,plain,
( spl5_818
<=> sz0z00 = sdtasdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_818])]) ).
fof(f21732,plain,
( spl5_817
| ~ spl5_10
| ~ spl5_59
| ~ spl5_61
| ~ spl5_86
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13588,f12951,f1205,f701,f548,f540,f282,f21729]) ).
fof(f21729,plain,
( spl5_817
<=> sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_817])]) ).
fof(f13588,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_59
| ~ spl5_61
| ~ spl5_86
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13587,f1209]) ).
fof(f13587,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13543,f1192]) ).
fof(f13543,plain,
( sdtasdt0(sdtpldt0(xS,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xS,sz0z00),sz0z00)
| ~ spl5_10
| ~ spl5_580 ),
inference(resolution,[],[f12952,f284]) ).
fof(f21727,plain,
( spl5_816
| ~ spl5_60
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1177,f611,f544,f21724]) ).
fof(f21724,plain,
( spl5_816
<=> xR = sdtpldt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_816])]) ).
fof(f1177,plain,
( xR = sdtpldt0(sz0z00,xR)
| ~ spl5_60
| ~ spl5_73 ),
inference(resolution,[],[f613,f545]) ).
fof(f21722,plain,
( spl5_815
| ~ spl5_59
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1176,f611,f540,f21719]) ).
fof(f21719,plain,
( spl5_815
<=> xR = sdtpldt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_815])]) ).
fof(f1176,plain,
( xR = sdtpldt0(xR,sz0z00)
| ~ spl5_59
| ~ spl5_73 ),
inference(resolution,[],[f613,f541]) ).
fof(f21717,plain,
( spl5_814
| ~ spl5_63
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1173,f581,f556,f21714]) ).
fof(f21714,plain,
( spl5_814
<=> xH = smndt0(smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_814])]) ).
fof(f1173,plain,
( xH = smndt0(smndt0(xH))
| ~ spl5_63
| ~ spl5_68 ),
inference(resolution,[],[f583,f557]) ).
fof(f21712,plain,
( spl5_813
| ~ spl5_62
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1172,f581,f552,f21709]) ).
fof(f21709,plain,
( spl5_813
<=> sz0z00 = sdtasdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_813])]) ).
fof(f21707,plain,
( spl5_812
| ~ spl5_61
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1171,f581,f548,f21704]) ).
fof(f21704,plain,
( spl5_812
<=> sz0z00 = sdtasdt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_812])]) ).
fof(f21702,plain,
( spl5_811
| ~ spl5_60
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1170,f581,f544,f21699]) ).
fof(f21699,plain,
( spl5_811
<=> xH = sdtpldt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_811])]) ).
fof(f1170,plain,
( xH = sdtpldt0(sz0z00,xH)
| ~ spl5_60
| ~ spl5_68 ),
inference(resolution,[],[f583,f545]) ).
fof(f21697,plain,
( spl5_810
| ~ spl5_59
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1169,f581,f540,f21694]) ).
fof(f21694,plain,
( spl5_810
<=> xH = sdtpldt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_810])]) ).
fof(f1169,plain,
( xH = sdtpldt0(xH,sz0z00)
| ~ spl5_59
| ~ spl5_68 ),
inference(resolution,[],[f583,f541]) ).
fof(f21692,plain,
( spl5_809
| ~ spl5_63
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1166,f560,f556,f21689]) ).
fof(f21689,plain,
( spl5_809
<=> xG = smndt0(smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_809])]) ).
fof(f1166,plain,
( xG = smndt0(smndt0(xG))
| ~ spl5_63
| ~ spl5_64 ),
inference(resolution,[],[f562,f557]) ).
fof(f21687,plain,
( spl5_808
| ~ spl5_62
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1165,f560,f552,f21684]) ).
fof(f21684,plain,
( spl5_808
<=> sz0z00 = sdtasdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_808])]) ).
fof(f21682,plain,
( spl5_807
| ~ spl5_61
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1164,f560,f548,f21679]) ).
fof(f21679,plain,
( spl5_807
<=> sz0z00 = sdtasdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_807])]) ).
fof(f21677,plain,
( spl5_806
| ~ spl5_14
| ~ spl5_59
| ~ spl5_61
| ~ spl5_79
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13586,f12951,f1205,f657,f548,f540,f302,f21674]) ).
fof(f21674,plain,
( spl5_806
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_806])]) ).
fof(f13586,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_61
| ~ spl5_79
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13585,f1209]) ).
fof(f13585,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13542,f1185]) ).
fof(f13542,plain,
( sdtasdt0(sdtpldt0(xP,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xP,sz0z00),sz0z00)
| ~ spl5_14
| ~ spl5_580 ),
inference(resolution,[],[f12952,f304]) ).
fof(f21672,plain,
( spl5_805
| ~ spl5_60
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1163,f560,f544,f21669]) ).
fof(f21669,plain,
( spl5_805
<=> xG = sdtpldt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_805])]) ).
fof(f1163,plain,
( xG = sdtpldt0(sz0z00,xG)
| ~ spl5_60
| ~ spl5_64 ),
inference(resolution,[],[f562,f545]) ).
fof(f21667,plain,
( spl5_804
| ~ spl5_59
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1162,f560,f540,f21664]) ).
fof(f21664,plain,
( spl5_804
<=> xG = sdtpldt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_804])]) ).
fof(f1162,plain,
( xG = sdtpldt0(xG,sz0z00)
| ~ spl5_59
| ~ spl5_64 ),
inference(resolution,[],[f562,f541]) ).
fof(f21662,plain,
( spl5_803
| ~ spl5_55
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1159,f556,f522,f21659]) ).
fof(f21659,plain,
( spl5_803
<=> xF = smndt0(smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_803])]) ).
fof(f1159,plain,
( xF = smndt0(smndt0(xF))
| ~ spl5_55
| ~ spl5_63 ),
inference(resolution,[],[f524,f557]) ).
fof(f21657,plain,
( spl5_802
| ~ spl5_55
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1158,f552,f522,f21654]) ).
fof(f21654,plain,
( spl5_802
<=> sz0z00 = sdtasdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_802])]) ).
fof(f21652,plain,
( spl5_801
| ~ spl5_55
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1157,f548,f522,f21649]) ).
fof(f21649,plain,
( spl5_801
<=> sz0z00 = sdtasdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_801])]) ).
fof(f21647,plain,
( spl5_800
| ~ spl5_55
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1156,f544,f522,f21644]) ).
fof(f21644,plain,
( spl5_800
<=> xF = sdtpldt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_800])]) ).
fof(f1156,plain,
( xF = sdtpldt0(sz0z00,xF)
| ~ spl5_55
| ~ spl5_60 ),
inference(resolution,[],[f524,f545]) ).
fof(f21642,plain,
( spl5_799
| ~ spl5_55
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1155,f540,f522,f21639]) ).
fof(f21639,plain,
( spl5_799
<=> xF = sdtpldt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_799])]) ).
fof(f1155,plain,
( xF = sdtpldt0(xF,sz0z00)
| ~ spl5_55
| ~ spl5_59 ),
inference(resolution,[],[f524,f541]) ).
fof(f21637,plain,
( spl5_798
| ~ spl5_48
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1152,f556,f484,f21634]) ).
fof(f21634,plain,
( spl5_798
<=> xE = smndt0(smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_798])]) ).
fof(f1152,plain,
( xE = smndt0(smndt0(xE))
| ~ spl5_48
| ~ spl5_63 ),
inference(resolution,[],[f486,f557]) ).
fof(f21632,plain,
( spl5_797
| ~ spl5_48
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1151,f552,f484,f21629]) ).
fof(f21629,plain,
( spl5_797
<=> sz0z00 = sdtasdt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_797])]) ).
fof(f21627,plain,
( spl5_796
| ~ spl5_48
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1150,f548,f484,f21624]) ).
fof(f21624,plain,
( spl5_796
<=> sz0z00 = sdtasdt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_796])]) ).
fof(f21622,plain,
( spl5_795
| ~ spl5_11
| ~ spl5_59
| ~ spl5_61
| ~ spl5_73
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13584,f12951,f1205,f611,f548,f540,f287,f21619]) ).
fof(f21619,plain,
( spl5_795
<=> sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_795])]) ).
fof(f13584,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_61
| ~ spl5_73
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13583,f1209]) ).
fof(f13583,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13541,f1178]) ).
fof(f13541,plain,
( sdtasdt0(sdtpldt0(xR,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xR,sz0z00),sz0z00)
| ~ spl5_11
| ~ spl5_580 ),
inference(resolution,[],[f12952,f289]) ).
fof(f21617,plain,
( spl5_794
| ~ spl5_48
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1149,f544,f484,f21614]) ).
fof(f21614,plain,
( spl5_794
<=> xE = sdtpldt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_794])]) ).
fof(f1149,plain,
( xE = sdtpldt0(sz0z00,xE)
| ~ spl5_48
| ~ spl5_60 ),
inference(resolution,[],[f486,f545]) ).
fof(f21612,plain,
( spl5_793
| ~ spl5_48
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1148,f540,f484,f21609]) ).
fof(f21609,plain,
( spl5_793
<=> xE = sdtpldt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_793])]) ).
fof(f1148,plain,
( xE = sdtpldt0(xE,sz0z00)
| ~ spl5_48
| ~ spl5_59 ),
inference(resolution,[],[f486,f541]) ).
fof(f21606,plain,
( spl5_792
| ~ spl5_168
| ~ spl5_176
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14323,f4433,f3109,f2027,f21603]) ).
fof(f21603,plain,
( spl5_792
<=> 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_792])]) ).
fof(f3109,plain,
( spl5_176
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_176])]) ).
fof(f14323,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_168
| ~ spl5_176
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14165,f14163]) ).
fof(f14165,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00))
| ~ spl5_176
| ~ spl5_233 ),
inference(resolution,[],[f4434,f3110]) ).
fof(f3110,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00)) )
| ~ spl5_176 ),
inference(avatar_component_clause,[],[f3109]) ).
fof(f21577,plain,
( spl5_791
| ~ spl5_62
| ~ spl5_588
| ~ spl5_790 ),
inference(avatar_split_clause,[],[f21572,f21568,f14574,f552,f21574]) ).
fof(f21574,plain,
( spl5_791
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_791])]) ).
fof(f21568,plain,
( spl5_790
<=> 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_790])]) ).
fof(f21572,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_62
| ~ spl5_588
| ~ spl5_790 ),
inference(forward_demodulation,[],[f21570,f14581]) ).
fof(f21570,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_790 ),
inference(avatar_component_clause,[],[f21568]) ).
fof(f21571,plain,
( spl5_790
| ~ spl5_168
| ~ spl5_170
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14322,f4433,f2103,f2027,f21568]) ).
fof(f14322,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_168
| ~ spl5_170
| ~ spl5_233 ),
inference(forward_demodulation,[],[f14164,f14163]) ).
fof(f14164,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_170
| ~ spl5_233 ),
inference(resolution,[],[f4434,f2104]) ).
fof(f21565,plain,
( spl5_789
| ~ spl5_168
| ~ spl5_176
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7431,f4429,f3109,f2027,f21562]) ).
fof(f21562,plain,
( spl5_789
<=> 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_789])]) ).
fof(f7431,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_168
| ~ spl5_176
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7331,f7329]) ).
fof(f7331,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00))
| ~ spl5_176
| ~ spl5_232 ),
inference(resolution,[],[f4430,f3110]) ).
fof(f21536,plain,
( spl5_788
| ~ spl5_62
| ~ spl5_411
| ~ spl5_787 ),
inference(avatar_split_clause,[],[f21531,f21527,f9468,f552,f21533]) ).
fof(f21533,plain,
( spl5_788
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_788])]) ).
fof(f21527,plain,
( spl5_787
<=> 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_787])]) ).
fof(f21531,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_62
| ~ spl5_411
| ~ spl5_787 ),
inference(forward_demodulation,[],[f21529,f9475]) ).
fof(f21529,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_787 ),
inference(avatar_component_clause,[],[f21527]) ).
fof(f21530,plain,
( spl5_787
| ~ spl5_168
| ~ spl5_170
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7430,f4429,f2103,f2027,f21527]) ).
fof(f7430,plain,
( sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_168
| ~ spl5_170
| ~ spl5_232 ),
inference(forward_demodulation,[],[f7330,f7329]) ).
fof(f7330,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sz0z00)
| ~ spl5_170
| ~ spl5_232 ),
inference(resolution,[],[f4430,f2104]) ).
fof(f21525,plain,
( spl5_786
| ~ spl5_16
| ~ spl5_59
| ~ spl5_61
| ~ spl5_68
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13582,f12951,f1205,f581,f548,f540,f312,f21522]) ).
fof(f21522,plain,
( spl5_786
<=> sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_786])]) ).
fof(f13582,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_59
| ~ spl5_61
| ~ spl5_68
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13581,f1209]) ).
fof(f13581,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13540,f1171]) ).
fof(f13540,plain,
( sdtasdt0(sdtpldt0(xH,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xH,sz0z00),sz0z00)
| ~ spl5_16
| ~ spl5_580 ),
inference(resolution,[],[f12952,f314]) ).
fof(f21320,plain,
( spl5_785
| ~ spl5_6
| ~ spl5_59
| ~ spl5_61
| ~ spl5_64
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13580,f12951,f1205,f560,f548,f540,f262,f21317]) ).
fof(f21317,plain,
( spl5_785
<=> sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_785])]) ).
fof(f13580,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_61
| ~ spl5_64
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13579,f1209]) ).
fof(f13579,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13539,f1164]) ).
fof(f13539,plain,
( sdtasdt0(sdtpldt0(xG,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xG,sz0z00),sz0z00)
| ~ spl5_6
| ~ spl5_580 ),
inference(resolution,[],[f12952,f264]) ).
fof(f21195,plain,
( spl5_784
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13578,f12951,f1205,f548,f540,f522,f267,f21192]) ).
fof(f21192,plain,
( spl5_784
<=> sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_784])]) ).
fof(f13578,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13577,f1209]) ).
fof(f13577,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13538,f1157]) ).
fof(f13538,plain,
( sdtasdt0(sdtpldt0(xF,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xF,sz0z00),sz0z00)
| ~ spl5_7
| ~ spl5_580 ),
inference(resolution,[],[f12952,f269]) ).
fof(f21030,plain,
( spl5_783
| ~ spl5_15
| ~ spl5_48
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13576,f12951,f1205,f548,f540,f484,f307,f21027]) ).
fof(f21027,plain,
( spl5_783
<=> sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_783])]) ).
fof(f13576,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_59
| ~ spl5_61
| ~ spl5_110
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13575,f1209]) ).
fof(f13575,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13537,f1150]) ).
fof(f13537,plain,
( sdtasdt0(sdtpldt0(xE,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xE,sz0z00),sz0z00)
| ~ spl5_15
| ~ spl5_580 ),
inference(resolution,[],[f12952,f309]) ).
fof(f20865,plain,
( spl5_782
| ~ spl5_9
| ~ spl5_59
| ~ spl5_110
| ~ spl5_223
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13574,f12951,f3906,f1205,f540,f277,f20862]) ).
fof(f20862,plain,
( spl5_782
<=> sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_782])]) ).
fof(f13574,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_59
| ~ spl5_110
| ~ spl5_223
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13573,f1209]) ).
fof(f13573,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_223
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13536,f3908]) ).
fof(f13536,plain,
( sdtasdt0(sdtpldt0(xD,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xD,sz0z00),sz0z00)
| ~ spl5_9
| ~ spl5_580 ),
inference(resolution,[],[f12952,f279]) ).
fof(f20713,plain,
( spl5_781
| ~ spl5_8
| ~ spl5_59
| ~ spl5_110
| ~ spl5_191
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13572,f12951,f3231,f1205,f540,f272,f20710]) ).
fof(f20710,plain,
( spl5_781
<=> sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_781])]) ).
fof(f13572,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_59
| ~ spl5_110
| ~ spl5_191
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13571,f1209]) ).
fof(f13571,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_191
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13535,f3233]) ).
fof(f13535,plain,
( sdtasdt0(sdtpldt0(xC,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xC,sz0z00),sz0z00)
| ~ spl5_8
| ~ spl5_580 ),
inference(resolution,[],[f12952,f274]) ).
fof(f20295,plain,
( spl5_780
| ~ spl5_12
| ~ spl5_59
| ~ spl5_110
| ~ spl5_172
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13570,f12951,f2464,f1205,f540,f292,f20292]) ).
fof(f20292,plain,
( spl5_780
<=> sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_780])]) ).
fof(f13570,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_59
| ~ spl5_110
| ~ spl5_172
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13569,f1209]) ).
fof(f13569,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_172
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13534,f2466]) ).
fof(f13534,plain,
( sdtasdt0(sdtpldt0(xB,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xB,sz0z00),sz0z00)
| ~ spl5_12
| ~ spl5_580 ),
inference(resolution,[],[f12952,f294]) ).
fof(f19783,plain,
( spl5_779
| ~ spl5_13
| ~ spl5_59
| ~ spl5_110
| ~ spl5_163
| ~ spl5_580 ),
inference(avatar_split_clause,[],[f13568,f12951,f1538,f1205,f540,f297,f19780]) ).
fof(f19780,plain,
( spl5_779
<=> sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_779])]) ).
fof(f13568,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_59
| ~ spl5_110
| ~ spl5_163
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13567,f1209]) ).
fof(f13567,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_163
| ~ spl5_580 ),
inference(forward_demodulation,[],[f13533,f1540]) ).
fof(f13533,plain,
( sdtasdt0(sdtpldt0(xA,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(xA,sz0z00),sz0z00)
| ~ spl5_13
| ~ spl5_580 ),
inference(resolution,[],[f12952,f299]) ).
fof(f18211,plain,
( spl5_778
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12875,f11304,f769,f548,f257,f18208]) ).
fof(f18208,plain,
( spl5_778
<=> sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_778])]) ).
fof(f11304,plain,
( spl5_559
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_559])]) ).
fof(f12875,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12849,f1199]) ).
fof(f12849,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_5
| ~ spl5_559 ),
inference(resolution,[],[f11305,f259]) ).
fof(f11305,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) )
| ~ spl5_559 ),
inference(avatar_component_clause,[],[f11304]) ).
fof(f17857,plain,
( spl5_777
| ~ spl5_168
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14163,f4433,f2027,f17854]) ).
fof(f17854,plain,
( spl5_777
<=> 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_777])]) ).
fof(f17851,plain,
( spl5_776
| ~ spl5_167
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14162,f4433,f2023,f17848]) ).
fof(f17848,plain,
( spl5_776
<=> 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_776])]) ).
fof(f17846,plain,
( spl5_775
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12874,f11304,f701,f548,f282,f17843]) ).
fof(f17843,plain,
( spl5_775
<=> sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_775])]) ).
fof(f12874,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12848,f1192]) ).
fof(f12848,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_10
| ~ spl5_559 ),
inference(resolution,[],[f11305,f284]) ).
fof(f17841,plain,
( spl5_774
| ~ spl5_162
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14161,f4433,f1534,f17838]) ).
fof(f17838,plain,
( spl5_774
<=> 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_774])]) ).
fof(f17836,plain,
( spl5_773
| ~ spl5_161
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14160,f4433,f1530,f17833]) ).
fof(f17833,plain,
( spl5_773
<=> 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_773])]) ).
fof(f17831,plain,
( spl5_772
| ~ spl5_160
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14159,f4433,f1526,f17828]) ).
fof(f17828,plain,
( spl5_772
<=> 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_772])]) ).
fof(f17826,plain,
( spl5_771
| ~ spl5_159
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14158,f4433,f1522,f17823]) ).
fof(f17823,plain,
( spl5_771
<=> 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_771])]) ).
fof(f17821,plain,
( spl5_770
| ~ spl5_158
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14157,f4433,f1518,f17818]) ).
fof(f17818,plain,
( spl5_770
<=> 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_770])]) ).
fof(f17816,plain,
( spl5_769
| ~ spl5_157
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14156,f4433,f1514,f17813]) ).
fof(f17813,plain,
( spl5_769
<=> 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_769])]) ).
fof(f17811,plain,
( spl5_768
| ~ spl5_156
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14155,f4433,f1510,f17808]) ).
fof(f17808,plain,
( spl5_768
<=> 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_768])]) ).
fof(f17806,plain,
( spl5_767
| ~ spl5_155
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14154,f4433,f1506,f17803]) ).
fof(f17803,plain,
( spl5_767
<=> 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_767])]) ).
fof(f17801,plain,
( spl5_766
| ~ spl5_154
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14153,f4433,f1502,f17798]) ).
fof(f17798,plain,
( spl5_766
<=> 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_766])]) ).
fof(f17796,plain,
( spl5_765
| ~ spl5_153
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14152,f4433,f1498,f17793]) ).
fof(f17793,plain,
( spl5_765
<=> 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_765])]) ).
fof(f17791,plain,
( spl5_764
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12873,f11304,f657,f548,f302,f17788]) ).
fof(f17788,plain,
( spl5_764
<=> sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_764])]) ).
fof(f12873,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12847,f1185]) ).
fof(f12847,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_14
| ~ spl5_559 ),
inference(resolution,[],[f11305,f304]) ).
fof(f17786,plain,
( spl5_763
| ~ spl5_151
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14151,f4433,f1489,f17783]) ).
fof(f17783,plain,
( spl5_763
<=> 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_763])]) ).
fof(f17781,plain,
( spl5_762
| ~ spl5_150
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14150,f4433,f1485,f17778]) ).
fof(f17778,plain,
( spl5_762
<=> 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_762])]) ).
fof(f17776,plain,
( spl5_761
| ~ spl5_149
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14149,f4433,f1481,f17773]) ).
fof(f17773,plain,
( spl5_761
<=> 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_761])]) ).
fof(f17771,plain,
( spl5_760
| ~ spl5_148
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14148,f4433,f1477,f17768]) ).
fof(f17768,plain,
( spl5_760
<=> 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_760])]) ).
fof(f17766,plain,
( spl5_759
| ~ spl5_147
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14147,f4433,f1473,f17763]) ).
fof(f17763,plain,
( spl5_759
<=> 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_759])]) ).
fof(f17761,plain,
( spl5_758
| ~ spl5_146
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14146,f4433,f1469,f17758]) ).
fof(f17758,plain,
( spl5_758
<=> 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_758])]) ).
fof(f17756,plain,
( spl5_757
| ~ spl5_145
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14145,f4433,f1465,f17753]) ).
fof(f17753,plain,
( spl5_757
<=> 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_757])]) ).
fof(f17751,plain,
( spl5_756
| ~ spl5_144
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14144,f4433,f1461,f17748]) ).
fof(f17748,plain,
( spl5_756
<=> 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_756])]) ).
fof(f17746,plain,
( spl5_755
| ~ spl5_143
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14143,f4433,f1453,f17743]) ).
fof(f17743,plain,
( spl5_755
<=> 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_755])]) ).
fof(f17741,plain,
( spl5_754
| ~ spl5_142
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14142,f4433,f1449,f17738]) ).
fof(f17738,plain,
( spl5_754
<=> 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_754])]) ).
fof(f17736,plain,
( spl5_753
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12872,f11304,f611,f548,f287,f17733]) ).
fof(f17733,plain,
( spl5_753
<=> sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_753])]) ).
fof(f12872,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12846,f1178]) ).
fof(f12846,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_11
| ~ spl5_559 ),
inference(resolution,[],[f11305,f289]) ).
fof(f17731,plain,
( spl5_752
| ~ spl5_141
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14141,f4433,f1445,f17728]) ).
fof(f17728,plain,
( spl5_752
<=> 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_752])]) ).
fof(f17726,plain,
( spl5_751
| ~ spl5_140
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14140,f4433,f1441,f17723]) ).
fof(f17723,plain,
( spl5_751
<=> 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_751])]) ).
fof(f17721,plain,
( spl5_750
| ~ spl5_139
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14139,f4433,f1437,f17718]) ).
fof(f17718,plain,
( spl5_750
<=> 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_750])]) ).
fof(f17716,plain,
( spl5_749
| ~ spl5_138
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14138,f4433,f1433,f17713]) ).
fof(f17713,plain,
( spl5_749
<=> 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_749])]) ).
fof(f17710,plain,
( spl5_748
| ~ spl5_168
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7329,f4429,f2027,f17707]) ).
fof(f17707,plain,
( spl5_748
<=> 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_748])]) ).
fof(f17704,plain,
( spl5_747
| ~ spl5_167
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7328,f4429,f2023,f17701]) ).
fof(f17701,plain,
( spl5_747
<=> 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_747])]) ).
fof(f17699,plain,
( spl5_746
| ~ spl5_162
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7327,f4429,f1534,f17696]) ).
fof(f17696,plain,
( spl5_746
<=> 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_746])]) ).
fof(f17694,plain,
( spl5_745
| ~ spl5_161
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7326,f4429,f1530,f17691]) ).
fof(f17691,plain,
( spl5_745
<=> 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_745])]) ).
fof(f17689,plain,
( spl5_744
| ~ spl5_160
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7325,f4429,f1526,f17686]) ).
fof(f17686,plain,
( spl5_744
<=> 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_744])]) ).
fof(f17684,plain,
( spl5_743
| ~ spl5_159
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7324,f4429,f1522,f17681]) ).
fof(f17681,plain,
( spl5_743
<=> 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_743])]) ).
fof(f17679,plain,
( spl5_742
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12871,f11304,f581,f548,f312,f17676]) ).
fof(f17676,plain,
( spl5_742
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_742])]) ).
fof(f12871,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12845,f1171]) ).
fof(f12845,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_16
| ~ spl5_559 ),
inference(resolution,[],[f11305,f314]) ).
fof(f17674,plain,
( spl5_741
| ~ spl5_158
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7323,f4429,f1518,f17671]) ).
fof(f17671,plain,
( spl5_741
<=> 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_741])]) ).
fof(f17669,plain,
( spl5_740
| ~ spl5_157
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7322,f4429,f1514,f17666]) ).
fof(f17666,plain,
( spl5_740
<=> 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_740])]) ).
fof(f17664,plain,
( spl5_739
| ~ spl5_156
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7321,f4429,f1510,f17661]) ).
fof(f17661,plain,
( spl5_739
<=> 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_739])]) ).
fof(f17659,plain,
( spl5_738
| ~ spl5_155
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7320,f4429,f1506,f17656]) ).
fof(f17656,plain,
( spl5_738
<=> 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_738])]) ).
fof(f17654,plain,
( spl5_737
| ~ spl5_154
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7319,f4429,f1502,f17651]) ).
fof(f17651,plain,
( spl5_737
<=> 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_737])]) ).
fof(f17649,plain,
( spl5_736
| ~ spl5_153
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7318,f4429,f1498,f17646]) ).
fof(f17646,plain,
( spl5_736
<=> 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_736])]) ).
fof(f17644,plain,
( spl5_735
| ~ spl5_151
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7317,f4429,f1489,f17641]) ).
fof(f17641,plain,
( spl5_735
<=> 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_735])]) ).
fof(f17639,plain,
( spl5_734
| ~ spl5_150
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7316,f4429,f1485,f17636]) ).
fof(f17636,plain,
( spl5_734
<=> 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_734])]) ).
fof(f17634,plain,
( spl5_733
| ~ spl5_149
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7315,f4429,f1481,f17631]) ).
fof(f17631,plain,
( spl5_733
<=> 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_733])]) ).
fof(f17629,plain,
( spl5_732
| ~ spl5_148
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7314,f4429,f1477,f17626]) ).
fof(f17626,plain,
( spl5_732
<=> 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_732])]) ).
fof(f17624,plain,
( spl5_731
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12870,f11304,f560,f548,f262,f17621]) ).
fof(f17621,plain,
( spl5_731
<=> sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_731])]) ).
fof(f12870,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12844,f1164]) ).
fof(f12844,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(sdtasdt0(xG,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_6
| ~ spl5_559 ),
inference(resolution,[],[f11305,f264]) ).
fof(f17619,plain,
( spl5_730
| ~ spl5_147
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7313,f4429,f1473,f17616]) ).
fof(f17616,plain,
( spl5_730
<=> 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_730])]) ).
fof(f17614,plain,
( spl5_729
| ~ spl5_146
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7312,f4429,f1469,f17611]) ).
fof(f17611,plain,
( spl5_729
<=> 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_729])]) ).
fof(f17609,plain,
( spl5_728
| ~ spl5_145
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7311,f4429,f1465,f17606]) ).
fof(f17606,plain,
( spl5_728
<=> 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_728])]) ).
fof(f17604,plain,
( spl5_727
| ~ spl5_144
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7310,f4429,f1461,f17601]) ).
fof(f17601,plain,
( spl5_727
<=> 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_727])]) ).
fof(f17599,plain,
( spl5_726
| ~ spl5_143
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7309,f4429,f1453,f17596]) ).
fof(f17596,plain,
( spl5_726
<=> 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_726])]) ).
fof(f17594,plain,
( spl5_725
| ~ spl5_142
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7308,f4429,f1449,f17591]) ).
fof(f17591,plain,
( spl5_725
<=> 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_725])]) ).
fof(f17589,plain,
( spl5_724
| ~ spl5_141
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7307,f4429,f1445,f17586]) ).
fof(f17586,plain,
( spl5_724
<=> 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_724])]) ).
fof(f17584,plain,
( spl5_723
| ~ spl5_140
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7306,f4429,f1441,f17581]) ).
fof(f17581,plain,
( spl5_723
<=> 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_723])]) ).
fof(f17579,plain,
( spl5_722
| ~ spl5_139
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7305,f4429,f1437,f17576]) ).
fof(f17576,plain,
( spl5_722
<=> 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_722])]) ).
fof(f17574,plain,
( spl5_721
| ~ spl5_138
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7304,f4429,f1433,f17571]) ).
fof(f17571,plain,
( spl5_721
<=> 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_721])]) ).
fof(f17569,plain,
( spl5_720
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12869,f11304,f548,f522,f267,f17566]) ).
fof(f17566,plain,
( spl5_720
<=> sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_720])]) ).
fof(f12869,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12843,f1157]) ).
fof(f12843,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(sdtasdt0(xF,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_7
| ~ spl5_559 ),
inference(resolution,[],[f11305,f269]) ).
fof(f17564,plain,
( spl5_719
| ~ spl5_231
| ~ spl5_325 ),
inference(avatar_split_clause,[],[f6870,f6785,f4425,f17562]) ).
fof(f17562,plain,
( spl5_719
<=> ! [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_719])]) ).
fof(f6785,plain,
( spl5_325
<=> ! [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_325])]) ).
fof(f6870,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_325 ),
inference(resolution,[],[f6786,f4426]) ).
fof(f6786,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_325 ),
inference(avatar_component_clause,[],[f6785]) ).
fof(f17560,plain,
( spl5_718
| ~ spl5_230
| ~ spl5_325 ),
inference(avatar_split_clause,[],[f6869,f6785,f4421,f17558]) ).
fof(f17558,plain,
( spl5_718
<=> ! [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_718])]) ).
fof(f6869,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_325 ),
inference(resolution,[],[f6786,f4422]) ).
fof(f17556,plain,
( spl5_717
| ~ spl5_231
| ~ spl5_324 ),
inference(avatar_split_clause,[],[f6850,f6781,f4425,f17554]) ).
fof(f17554,plain,
( spl5_717
<=> ! [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_717])]) ).
fof(f6781,plain,
( spl5_324
<=> ! [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_324])]) ).
fof(f6850,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_324 ),
inference(resolution,[],[f6782,f4426]) ).
fof(f6782,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_324 ),
inference(avatar_component_clause,[],[f6781]) ).
fof(f17552,plain,
( spl5_716
| ~ spl5_230
| ~ spl5_324 ),
inference(avatar_split_clause,[],[f6849,f6781,f4421,f17550]) ).
fof(f17550,plain,
( spl5_716
<=> ! [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_716])]) ).
fof(f6849,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_324 ),
inference(resolution,[],[f6782,f4422]) ).
fof(f17548,plain,
( spl5_715
| ~ spl5_231
| ~ spl5_322 ),
inference(avatar_split_clause,[],[f6825,f6773,f4425,f17546]) ).
fof(f17546,plain,
( spl5_715
<=> ! [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_715])]) ).
fof(f6773,plain,
( spl5_322
<=> ! [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_322])]) ).
fof(f6825,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_322 ),
inference(resolution,[],[f6774,f4426]) ).
fof(f6774,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_322 ),
inference(avatar_component_clause,[],[f6773]) ).
fof(f17544,plain,
( spl5_714
| ~ spl5_230
| ~ spl5_322 ),
inference(avatar_split_clause,[],[f6824,f6773,f4421,f17542]) ).
fof(f17542,plain,
( spl5_714
<=> ! [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_714])]) ).
fof(f6824,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_322 ),
inference(resolution,[],[f6774,f4422]) ).
fof(f17540,plain,
( spl5_713
| ~ spl5_231
| ~ spl5_321 ),
inference(avatar_split_clause,[],[f6805,f6769,f4425,f17538]) ).
fof(f17538,plain,
( spl5_713
<=> ! [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_713])]) ).
fof(f6769,plain,
( spl5_321
<=> ! [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_321])]) ).
fof(f6805,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_231
| ~ spl5_321 ),
inference(resolution,[],[f6770,f4426]) ).
fof(f6770,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_321 ),
inference(avatar_component_clause,[],[f6769]) ).
fof(f17536,plain,
( spl5_712
| ~ spl5_230
| ~ spl5_321 ),
inference(avatar_split_clause,[],[f6804,f6769,f4421,f17534]) ).
fof(f17534,plain,
( spl5_712
<=> ! [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_712])]) ).
fof(f6804,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_230
| ~ spl5_321 ),
inference(resolution,[],[f6770,f4422]) ).
fof(f17532,plain,
( spl5_711
| ~ spl5_162
| ~ spl5_231
| ~ spl5_318 ),
inference(avatar_split_clause,[],[f6756,f6058,f4425,f1534,f17530]) ).
fof(f17530,plain,
( spl5_711
<=> ! [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_711])]) ).
fof(f6058,plain,
( spl5_318
<=> ! [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_318])]) ).
fof(f6756,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_162
| ~ spl5_231
| ~ spl5_318 ),
inference(forward_demodulation,[],[f6738,f4644]) ).
fof(f4644,plain,
( sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(xN,sdtasdt0(xC,xD))
| ~ spl5_162
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1535]) ).
fof(f6738,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_318 ),
inference(resolution,[],[f6059,f4426]) ).
fof(f6059,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X0) )
| ~ spl5_318 ),
inference(avatar_component_clause,[],[f6058]) ).
fof(f17528,plain,
( spl5_710
| ~ spl5_162
| ~ spl5_230
| ~ spl5_318 ),
inference(avatar_split_clause,[],[f6755,f6058,f4421,f1534,f17526]) ).
fof(f17526,plain,
( spl5_710
<=> ! [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_710])]) ).
fof(f6755,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_162
| ~ spl5_230
| ~ spl5_318 ),
inference(forward_demodulation,[],[f6737,f4498]) ).
fof(f4498,plain,
( sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(xN,sdtasdt0(xE,xE))
| ~ spl5_162
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1535]) ).
fof(f6737,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_318 ),
inference(resolution,[],[f6059,f4422]) ).
fof(f17524,plain,
( spl5_709
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12868,f11304,f548,f484,f307,f17521]) ).
fof(f17521,plain,
( spl5_709
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_709])]) ).
fof(f12868,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12842,f1150]) ).
fof(f12842,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_15
| ~ spl5_559 ),
inference(resolution,[],[f11305,f309]) ).
fof(f17519,plain,
( spl5_708
| ~ spl5_161
| ~ spl5_231
| ~ spl5_317 ),
inference(avatar_split_clause,[],[f6729,f6054,f4425,f1530,f17517]) ).
fof(f17517,plain,
( spl5_708
<=> ! [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_708])]) ).
fof(f6054,plain,
( spl5_317
<=> ! [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_317])]) ).
fof(f6729,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_161
| ~ spl5_231
| ~ spl5_317 ),
inference(forward_demodulation,[],[f6711,f4643]) ).
fof(f4643,plain,
( sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(xS,sdtasdt0(xC,xD))
| ~ spl5_161
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1531]) ).
fof(f6711,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_317 ),
inference(resolution,[],[f6055,f4426]) ).
fof(f6055,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X0) )
| ~ spl5_317 ),
inference(avatar_component_clause,[],[f6054]) ).
fof(f17515,plain,
( spl5_707
| ~ spl5_161
| ~ spl5_230
| ~ spl5_317 ),
inference(avatar_split_clause,[],[f6728,f6054,f4421,f1530,f17513]) ).
fof(f17513,plain,
( spl5_707
<=> ! [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_707])]) ).
fof(f6728,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_161
| ~ spl5_230
| ~ spl5_317 ),
inference(forward_demodulation,[],[f6710,f4497]) ).
fof(f4497,plain,
( sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(xS,sdtasdt0(xE,xE))
| ~ spl5_161
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1531]) ).
fof(f6710,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_317 ),
inference(resolution,[],[f6055,f4422]) ).
fof(f17511,plain,
( spl5_706
| ~ spl5_160
| ~ spl5_231
| ~ spl5_316 ),
inference(avatar_split_clause,[],[f6704,f6050,f4425,f1526,f17509]) ).
fof(f17509,plain,
( spl5_706
<=> ! [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_706])]) ).
fof(f6050,plain,
( spl5_316
<=> ! [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_316])]) ).
fof(f6704,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_160
| ~ spl5_231
| ~ spl5_316 ),
inference(forward_demodulation,[],[f6686,f4642]) ).
fof(f4642,plain,
( sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(xP,sdtasdt0(xC,xD))
| ~ spl5_160
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1527]) ).
fof(f6686,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_316 ),
inference(resolution,[],[f6051,f4426]) ).
fof(f6051,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X0) )
| ~ spl5_316 ),
inference(avatar_component_clause,[],[f6050]) ).
fof(f17507,plain,
( spl5_705
| ~ spl5_160
| ~ spl5_230
| ~ spl5_316 ),
inference(avatar_split_clause,[],[f6703,f6050,f4421,f1526,f17505]) ).
fof(f17505,plain,
( spl5_705
<=> ! [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_705])]) ).
fof(f6703,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_160
| ~ spl5_230
| ~ spl5_316 ),
inference(forward_demodulation,[],[f6685,f4496]) ).
fof(f4496,plain,
( sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xE))
| ~ spl5_160
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1527]) ).
fof(f6685,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_316 ),
inference(resolution,[],[f6051,f4422]) ).
fof(f17503,plain,
( spl5_704
| ~ spl5_159
| ~ spl5_231
| ~ spl5_315 ),
inference(avatar_split_clause,[],[f6675,f6046,f4425,f1522,f17501]) ).
fof(f17501,plain,
( spl5_704
<=> ! [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_704])]) ).
fof(f6046,plain,
( spl5_315
<=> ! [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_315])]) ).
fof(f6675,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_231
| ~ spl5_315 ),
inference(forward_demodulation,[],[f6657,f4641]) ).
fof(f4641,plain,
( sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(xR,sdtasdt0(xC,xD))
| ~ spl5_159
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1523]) ).
fof(f6657,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_315 ),
inference(resolution,[],[f6047,f4426]) ).
fof(f6047,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X0) )
| ~ spl5_315 ),
inference(avatar_component_clause,[],[f6046]) ).
fof(f17499,plain,
( spl5_703
| ~ spl5_159
| ~ spl5_230
| ~ spl5_315 ),
inference(avatar_split_clause,[],[f6674,f6046,f4421,f1522,f17497]) ).
fof(f17497,plain,
( spl5_703
<=> ! [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_703])]) ).
fof(f6674,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_230
| ~ spl5_315 ),
inference(forward_demodulation,[],[f6656,f4495]) ).
fof(f4495,plain,
( sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(xR,sdtasdt0(xE,xE))
| ~ spl5_159
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1523]) ).
fof(f6656,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_315 ),
inference(resolution,[],[f6047,f4422]) ).
fof(f17495,plain,
( spl5_702
| ~ spl5_158
| ~ spl5_231
| ~ spl5_314 ),
inference(avatar_split_clause,[],[f6651,f6042,f4425,f1518,f17493]) ).
fof(f17493,plain,
( spl5_702
<=> ! [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_702])]) ).
fof(f6042,plain,
( spl5_314
<=> ! [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_314])]) ).
fof(f6651,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_231
| ~ spl5_314 ),
inference(forward_demodulation,[],[f6633,f4640]) ).
fof(f4640,plain,
( sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(xH,sdtasdt0(xC,xD))
| ~ spl5_158
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1519]) ).
fof(f6633,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_314 ),
inference(resolution,[],[f6043,f4426]) ).
fof(f6043,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X0) )
| ~ spl5_314 ),
inference(avatar_component_clause,[],[f6042]) ).
fof(f17491,plain,
( spl5_701
| ~ spl5_158
| ~ spl5_230
| ~ spl5_314 ),
inference(avatar_split_clause,[],[f6650,f6042,f4421,f1518,f17489]) ).
fof(f17489,plain,
( spl5_701
<=> ! [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_701])]) ).
fof(f6650,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_230
| ~ spl5_314 ),
inference(forward_demodulation,[],[f6632,f4494]) ).
fof(f4494,plain,
( sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xE))
| ~ spl5_158
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1519]) ).
fof(f6632,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_314 ),
inference(resolution,[],[f6043,f4422]) ).
fof(f17487,plain,
( spl5_700
| ~ spl5_157
| ~ spl5_231
| ~ spl5_313 ),
inference(avatar_split_clause,[],[f6619,f6038,f4425,f1514,f17485]) ).
fof(f17485,plain,
( spl5_700
<=> ! [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_700])]) ).
fof(f6038,plain,
( spl5_313
<=> ! [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_313])]) ).
fof(f6619,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_157
| ~ spl5_231
| ~ spl5_313 ),
inference(forward_demodulation,[],[f6601,f4639]) ).
fof(f4639,plain,
( sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(xG,sdtasdt0(xC,xD))
| ~ spl5_157
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1515]) ).
fof(f6601,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_313 ),
inference(resolution,[],[f6039,f4426]) ).
fof(f6039,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X0) )
| ~ spl5_313 ),
inference(avatar_component_clause,[],[f6038]) ).
fof(f17483,plain,
( spl5_699
| ~ spl5_157
| ~ spl5_230
| ~ spl5_313 ),
inference(avatar_split_clause,[],[f6618,f6038,f4421,f1514,f17481]) ).
fof(f17481,plain,
( spl5_699
<=> ! [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_699])]) ).
fof(f6618,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_157
| ~ spl5_230
| ~ spl5_313 ),
inference(forward_demodulation,[],[f6600,f4493]) ).
fof(f4493,plain,
( sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(xG,sdtasdt0(xE,xE))
| ~ spl5_157
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1515]) ).
fof(f6600,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_313 ),
inference(resolution,[],[f6039,f4422]) ).
fof(f17479,plain,
( spl5_698
| ~ spl5_9
| ~ spl5_223
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12867,f11304,f3906,f277,f17476]) ).
fof(f17476,plain,
( spl5_698
<=> sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_698])]) ).
fof(f12867,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_223
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12841,f3908]) ).
fof(f12841,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(sdtasdt0(xD,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_9
| ~ spl5_559 ),
inference(resolution,[],[f11305,f279]) ).
fof(f17474,plain,
( spl5_697
| ~ spl5_156
| ~ spl5_231
| ~ spl5_312 ),
inference(avatar_split_clause,[],[f6586,f6034,f4425,f1510,f17472]) ).
fof(f17472,plain,
( spl5_697
<=> ! [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_697])]) ).
fof(f6034,plain,
( spl5_312
<=> ! [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_312])]) ).
fof(f6586,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_156
| ~ spl5_231
| ~ spl5_312 ),
inference(forward_demodulation,[],[f6568,f4638]) ).
fof(f4638,plain,
( sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(xF,sdtasdt0(xC,xD))
| ~ spl5_156
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1511]) ).
fof(f6568,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_312 ),
inference(resolution,[],[f6035,f4426]) ).
fof(f6035,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X0) )
| ~ spl5_312 ),
inference(avatar_component_clause,[],[f6034]) ).
fof(f17470,plain,
( spl5_696
| ~ spl5_156
| ~ spl5_230
| ~ spl5_312 ),
inference(avatar_split_clause,[],[f6585,f6034,f4421,f1510,f17468]) ).
fof(f17468,plain,
( spl5_696
<=> ! [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_696])]) ).
fof(f6585,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_156
| ~ spl5_230
| ~ spl5_312 ),
inference(forward_demodulation,[],[f6567,f4492]) ).
fof(f4492,plain,
( sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(xF,sdtasdt0(xE,xE))
| ~ spl5_156
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1511]) ).
fof(f6567,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_312 ),
inference(resolution,[],[f6035,f4422]) ).
fof(f17466,plain,
( spl5_695
| ~ spl5_155
| ~ spl5_231
| ~ spl5_311 ),
inference(avatar_split_clause,[],[f6562,f6030,f4425,f1506,f17464]) ).
fof(f17464,plain,
( spl5_695
<=> ! [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_695])]) ).
fof(f6030,plain,
( spl5_311
<=> ! [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_311])]) ).
fof(f6562,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_155
| ~ spl5_231
| ~ spl5_311 ),
inference(forward_demodulation,[],[f6544,f4637]) ).
fof(f4637,plain,
( sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(xE,sdtasdt0(xC,xD))
| ~ spl5_155
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1507]) ).
fof(f6544,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_311 ),
inference(resolution,[],[f6031,f4426]) ).
fof(f6031,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X0) )
| ~ spl5_311 ),
inference(avatar_component_clause,[],[f6030]) ).
fof(f17462,plain,
( spl5_694
| ~ spl5_155
| ~ spl5_230
| ~ spl5_311 ),
inference(avatar_split_clause,[],[f6561,f6030,f4421,f1506,f17460]) ).
fof(f17460,plain,
( spl5_694
<=> ! [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_694])]) ).
fof(f6561,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_155
| ~ spl5_230
| ~ spl5_311 ),
inference(forward_demodulation,[],[f6543,f4491]) ).
fof(f4491,plain,
( sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xE))
| ~ spl5_155
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1507]) ).
fof(f6543,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_311 ),
inference(resolution,[],[f6031,f4422]) ).
fof(f17458,plain,
( spl5_693
| ~ spl5_154
| ~ spl5_231
| ~ spl5_310 ),
inference(avatar_split_clause,[],[f6533,f6026,f4425,f1502,f17456]) ).
fof(f17456,plain,
( spl5_693
<=> ! [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_693])]) ).
fof(f6026,plain,
( spl5_310
<=> ! [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_310])]) ).
fof(f6533,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_154
| ~ spl5_231
| ~ spl5_310 ),
inference(forward_demodulation,[],[f6515,f4636]) ).
fof(f4636,plain,
( sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(xD,sdtasdt0(xC,xD))
| ~ spl5_154
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1503]) ).
fof(f6515,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_310 ),
inference(resolution,[],[f6027,f4426]) ).
fof(f6027,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X0) )
| ~ spl5_310 ),
inference(avatar_component_clause,[],[f6026]) ).
fof(f17454,plain,
( spl5_692
| ~ spl5_154
| ~ spl5_230
| ~ spl5_310 ),
inference(avatar_split_clause,[],[f6532,f6026,f4421,f1502,f17452]) ).
fof(f17452,plain,
( spl5_692
<=> ! [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_692])]) ).
fof(f6532,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_154
| ~ spl5_230
| ~ spl5_310 ),
inference(forward_demodulation,[],[f6514,f4490]) ).
fof(f4490,plain,
( sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(xD,sdtasdt0(xE,xE))
| ~ spl5_154
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1503]) ).
fof(f6514,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_310 ),
inference(resolution,[],[f6027,f4422]) ).
fof(f17450,plain,
( spl5_691
| ~ spl5_153
| ~ spl5_231
| ~ spl5_309 ),
inference(avatar_split_clause,[],[f6503,f6017,f4425,f1498,f17448]) ).
fof(f17448,plain,
( spl5_691
<=> ! [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_691])]) ).
fof(f6017,plain,
( spl5_309
<=> ! [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_309])]) ).
fof(f6503,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_231
| ~ spl5_309 ),
inference(forward_demodulation,[],[f6485,f4635]) ).
fof(f4635,plain,
( sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(xC,sdtasdt0(xC,xD))
| ~ spl5_153
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1499]) ).
fof(f6485,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_309 ),
inference(resolution,[],[f6018,f4426]) ).
fof(f6018,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X0) )
| ~ spl5_309 ),
inference(avatar_component_clause,[],[f6017]) ).
fof(f17446,plain,
( spl5_690
| ~ spl5_153
| ~ spl5_230
| ~ spl5_309 ),
inference(avatar_split_clause,[],[f6502,f6017,f4421,f1498,f17444]) ).
fof(f17444,plain,
( spl5_690
<=> ! [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_690])]) ).
fof(f6502,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_230
| ~ spl5_309 ),
inference(forward_demodulation,[],[f6484,f4489]) ).
fof(f4489,plain,
( sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(xC,sdtasdt0(xE,xE))
| ~ spl5_153
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1499]) ).
fof(f6484,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_309 ),
inference(resolution,[],[f6018,f4422]) ).
fof(f17442,plain,
( spl5_689
| ~ spl5_151
| ~ spl5_231
| ~ spl5_308 ),
inference(avatar_split_clause,[],[f6471,f6013,f4425,f1489,f17440]) ).
fof(f17440,plain,
( spl5_689
<=> ! [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_689])]) ).
fof(f6013,plain,
( spl5_308
<=> ! [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_308])]) ).
fof(f6471,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_231
| ~ spl5_308 ),
inference(forward_demodulation,[],[f6453,f4634]) ).
fof(f4634,plain,
( sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(xB,sdtasdt0(xC,xD))
| ~ spl5_151
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1490]) ).
fof(f6453,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_308 ),
inference(resolution,[],[f6014,f4426]) ).
fof(f6014,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X0) )
| ~ spl5_308 ),
inference(avatar_component_clause,[],[f6013]) ).
fof(f17438,plain,
( spl5_688
| ~ spl5_151
| ~ spl5_230
| ~ spl5_308 ),
inference(avatar_split_clause,[],[f6470,f6013,f4421,f1489,f17436]) ).
fof(f17436,plain,
( spl5_688
<=> ! [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_688])]) ).
fof(f6470,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_230
| ~ spl5_308 ),
inference(forward_demodulation,[],[f6452,f4488]) ).
fof(f4488,plain,
( sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(xB,sdtasdt0(xE,xE))
| ~ spl5_151
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1490]) ).
fof(f6452,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_308 ),
inference(resolution,[],[f6014,f4422]) ).
fof(f17434,plain,
( spl5_687
| ~ spl5_8
| ~ spl5_191
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12866,f11304,f3231,f272,f17431]) ).
fof(f17431,plain,
( spl5_687
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_687])]) ).
fof(f12866,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_191
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12840,f3233]) ).
fof(f12840,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(sdtasdt0(xC,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_8
| ~ spl5_559 ),
inference(resolution,[],[f11305,f274]) ).
fof(f17429,plain,
( spl5_686
| ~ spl5_150
| ~ spl5_231
| ~ spl5_307 ),
inference(avatar_split_clause,[],[f6439,f6009,f4425,f1485,f17427]) ).
fof(f17427,plain,
( spl5_686
<=> ! [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_686])]) ).
fof(f6009,plain,
( spl5_307
<=> ! [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_307])]) ).
fof(f6439,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_231
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6421,f4633]) ).
fof(f4633,plain,
( sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(xA,sdtasdt0(xC,xD))
| ~ spl5_150
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1486]) ).
fof(f6421,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_307 ),
inference(resolution,[],[f6010,f4426]) ).
fof(f6010,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X0) )
| ~ spl5_307 ),
inference(avatar_component_clause,[],[f6009]) ).
fof(f17425,plain,
( spl5_685
| ~ spl5_150
| ~ spl5_230
| ~ spl5_307 ),
inference(avatar_split_clause,[],[f6438,f6009,f4421,f1485,f17423]) ).
fof(f17423,plain,
( spl5_685
<=> ! [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_685])]) ).
fof(f6438,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_230
| ~ spl5_307 ),
inference(forward_demodulation,[],[f6420,f4487]) ).
fof(f4487,plain,
( sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(xA,sdtasdt0(xE,xE))
| ~ spl5_150
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1486]) ).
fof(f6420,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_307 ),
inference(resolution,[],[f6010,f4422]) ).
fof(f17421,plain,
( spl5_684
| ~ spl5_149
| ~ spl5_231
| ~ spl5_306 ),
inference(avatar_split_clause,[],[f6405,f6005,f4425,f1481,f17419]) ).
fof(f17419,plain,
( spl5_684
<=> ! [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_684])]) ).
fof(f6005,plain,
( spl5_306
<=> ! [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_306])]) ).
fof(f6405,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_231
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6387,f4632]) ).
fof(f4632,plain,
( sdtpldt0(sdtasdt0(xC,xD),xN) = sdtpldt0(xN,sdtasdt0(xC,xD))
| ~ spl5_149
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1482]) ).
fof(f6387,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xN)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_306 ),
inference(resolution,[],[f6006,f4426]) ).
fof(f6006,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_306 ),
inference(avatar_component_clause,[],[f6005]) ).
fof(f17417,plain,
( spl5_683
| ~ spl5_149
| ~ spl5_230
| ~ spl5_306 ),
inference(avatar_split_clause,[],[f6404,f6005,f4421,f1481,f17415]) ).
fof(f17415,plain,
( spl5_683
<=> ! [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_683])]) ).
fof(f6404,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xN)) = sdtasdt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_230
| ~ spl5_306 ),
inference(forward_demodulation,[],[f6386,f4486]) ).
fof(f4486,plain,
( sdtpldt0(sdtasdt0(xE,xE),xN) = sdtpldt0(xN,sdtasdt0(xE,xE))
| ~ spl5_149
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1482]) ).
fof(f6386,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xN)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_306 ),
inference(resolution,[],[f6006,f4422]) ).
fof(f17413,plain,
( spl5_682
| ~ spl5_148
| ~ spl5_231
| ~ spl5_305 ),
inference(avatar_split_clause,[],[f6370,f6001,f4425,f1477,f17411]) ).
fof(f17411,plain,
( spl5_682
<=> ! [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_682])]) ).
fof(f6001,plain,
( spl5_305
<=> ! [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_305])]) ).
fof(f6370,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_231
| ~ spl5_305 ),
inference(forward_demodulation,[],[f6352,f4631]) ).
fof(f4631,plain,
( sdtpldt0(sdtasdt0(xC,xD),xS) = sdtpldt0(xS,sdtasdt0(xC,xD))
| ~ spl5_148
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1478]) ).
fof(f6352,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xS)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_305 ),
inference(resolution,[],[f6002,f4426]) ).
fof(f6002,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_305 ),
inference(avatar_component_clause,[],[f6001]) ).
fof(f17409,plain,
( spl5_681
| ~ spl5_148
| ~ spl5_230
| ~ spl5_305 ),
inference(avatar_split_clause,[],[f6369,f6001,f4421,f1477,f17407]) ).
fof(f17407,plain,
( spl5_681
<=> ! [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_681])]) ).
fof(f6369,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xS)) = sdtasdt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_230
| ~ spl5_305 ),
inference(forward_demodulation,[],[f6351,f4485]) ).
fof(f4485,plain,
( sdtpldt0(sdtasdt0(xE,xE),xS) = sdtpldt0(xS,sdtasdt0(xE,xE))
| ~ spl5_148
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1478]) ).
fof(f6351,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xS)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_305 ),
inference(resolution,[],[f6002,f4422]) ).
fof(f17405,plain,
( spl5_680
| ~ spl5_147
| ~ spl5_231
| ~ spl5_304 ),
inference(avatar_split_clause,[],[f6345,f5997,f4425,f1473,f17403]) ).
fof(f17403,plain,
( spl5_680
<=> ! [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_680])]) ).
fof(f5997,plain,
( spl5_304
<=> ! [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_304])]) ).
fof(f6345,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_231
| ~ spl5_304 ),
inference(forward_demodulation,[],[f6327,f4630]) ).
fof(f4630,plain,
( sdtpldt0(sdtasdt0(xC,xD),xP) = sdtpldt0(xP,sdtasdt0(xC,xD))
| ~ spl5_147
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1474]) ).
fof(f6327,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xP)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_304 ),
inference(resolution,[],[f5998,f4426]) ).
fof(f5998,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_304 ),
inference(avatar_component_clause,[],[f5997]) ).
fof(f17401,plain,
( spl5_679
| ~ spl5_147
| ~ spl5_230
| ~ spl5_304 ),
inference(avatar_split_clause,[],[f6344,f5997,f4421,f1473,f17399]) ).
fof(f17399,plain,
( spl5_679
<=> ! [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_679])]) ).
fof(f6344,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xP)) = sdtasdt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_230
| ~ spl5_304 ),
inference(forward_demodulation,[],[f6326,f4484]) ).
fof(f4484,plain,
( sdtpldt0(sdtasdt0(xE,xE),xP) = sdtpldt0(xP,sdtasdt0(xE,xE))
| ~ spl5_147
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1474]) ).
fof(f6326,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xP)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_304 ),
inference(resolution,[],[f5998,f4422]) ).
fof(f17397,plain,
( spl5_678
| ~ spl5_146
| ~ spl5_231
| ~ spl5_303 ),
inference(avatar_split_clause,[],[f6318,f5993,f4425,f1469,f17395]) ).
fof(f17395,plain,
( spl5_678
<=> ! [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_678])]) ).
fof(f5993,plain,
( spl5_303
<=> ! [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_303])]) ).
fof(f6318,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_231
| ~ spl5_303 ),
inference(forward_demodulation,[],[f6300,f4629]) ).
fof(f4629,plain,
( sdtpldt0(sdtasdt0(xC,xD),xR) = sdtpldt0(xR,sdtasdt0(xC,xD))
| ~ spl5_146
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1470]) ).
fof(f6300,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xR)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_303 ),
inference(resolution,[],[f5994,f4426]) ).
fof(f5994,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_303 ),
inference(avatar_component_clause,[],[f5993]) ).
fof(f17393,plain,
( spl5_677
| ~ spl5_146
| ~ spl5_230
| ~ spl5_303 ),
inference(avatar_split_clause,[],[f6317,f5993,f4421,f1469,f17391]) ).
fof(f17391,plain,
( spl5_677
<=> ! [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_677])]) ).
fof(f6317,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xR)) = sdtasdt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_230
| ~ spl5_303 ),
inference(forward_demodulation,[],[f6299,f4483]) ).
fof(f4483,plain,
( sdtpldt0(sdtasdt0(xE,xE),xR) = sdtpldt0(xR,sdtasdt0(xE,xE))
| ~ spl5_146
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1470]) ).
fof(f6299,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xR)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_303 ),
inference(resolution,[],[f5994,f4422]) ).
fof(f17389,plain,
( spl5_676
| ~ spl5_12
| ~ spl5_172
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12865,f11304,f2464,f292,f17386]) ).
fof(f17386,plain,
( spl5_676
<=> sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_676])]) ).
fof(f12865,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_172
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12839,f2466]) ).
fof(f12839,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(sdtasdt0(xB,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_12
| ~ spl5_559 ),
inference(resolution,[],[f11305,f294]) ).
fof(f17384,plain,
( spl5_675
| ~ spl5_145
| ~ spl5_231
| ~ spl5_302 ),
inference(avatar_split_clause,[],[f6295,f5989,f4425,f1465,f17382]) ).
fof(f17382,plain,
( spl5_675
<=> ! [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_675])]) ).
fof(f5989,plain,
( spl5_302
<=> ! [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_302])]) ).
fof(f6295,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_231
| ~ spl5_302 ),
inference(forward_demodulation,[],[f6277,f4628]) ).
fof(f4628,plain,
( sdtpldt0(sdtasdt0(xC,xD),xH) = sdtpldt0(xH,sdtasdt0(xC,xD))
| ~ spl5_145
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1466]) ).
fof(f6277,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xH)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_302 ),
inference(resolution,[],[f5990,f4426]) ).
fof(f5990,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_302 ),
inference(avatar_component_clause,[],[f5989]) ).
fof(f17380,plain,
( spl5_674
| ~ spl5_145
| ~ spl5_230
| ~ spl5_302 ),
inference(avatar_split_clause,[],[f6294,f5989,f4421,f1465,f17378]) ).
fof(f17378,plain,
( spl5_674
<=> ! [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_674])]) ).
fof(f6294,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xH)) = sdtasdt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_230
| ~ spl5_302 ),
inference(forward_demodulation,[],[f6276,f4482]) ).
fof(f4482,plain,
( sdtpldt0(sdtasdt0(xE,xE),xH) = sdtpldt0(xH,sdtasdt0(xE,xE))
| ~ spl5_145
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1466]) ).
fof(f6276,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xH)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_302 ),
inference(resolution,[],[f5990,f4422]) ).
fof(f17376,plain,
( spl5_673
| ~ spl5_144
| ~ spl5_231
| ~ spl5_301 ),
inference(avatar_split_clause,[],[f6263,f5985,f4425,f1461,f17374]) ).
fof(f17374,plain,
( spl5_673
<=> ! [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_673])]) ).
fof(f5985,plain,
( spl5_301
<=> ! [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_301])]) ).
fof(f6263,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_144
| ~ spl5_231
| ~ spl5_301 ),
inference(forward_demodulation,[],[f6245,f4627]) ).
fof(f4627,plain,
( sdtpldt0(sdtasdt0(xC,xD),xG) = sdtpldt0(xG,sdtasdt0(xC,xD))
| ~ spl5_144
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1462]) ).
fof(f6245,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xG)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_301 ),
inference(resolution,[],[f5986,f4426]) ).
fof(f5986,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_301 ),
inference(avatar_component_clause,[],[f5985]) ).
fof(f17372,plain,
( spl5_672
| ~ spl5_144
| ~ spl5_230
| ~ spl5_301 ),
inference(avatar_split_clause,[],[f6262,f5985,f4421,f1461,f17370]) ).
fof(f17370,plain,
( spl5_672
<=> ! [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_672])]) ).
fof(f6262,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xG)) = sdtasdt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_144
| ~ spl5_230
| ~ spl5_301 ),
inference(forward_demodulation,[],[f6244,f4481]) ).
fof(f4481,plain,
( sdtpldt0(sdtasdt0(xE,xE),xG) = sdtpldt0(xG,sdtasdt0(xE,xE))
| ~ spl5_144
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1462]) ).
fof(f6244,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xG)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_301 ),
inference(resolution,[],[f5986,f4422]) ).
fof(f17368,plain,
( spl5_671
| ~ spl5_143
| ~ spl5_231
| ~ spl5_300 ),
inference(avatar_split_clause,[],[f6230,f5981,f4425,f1453,f17366]) ).
fof(f17366,plain,
( spl5_671
<=> ! [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_671])]) ).
fof(f5981,plain,
( spl5_300
<=> ! [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_300])]) ).
fof(f6230,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_231
| ~ spl5_300 ),
inference(forward_demodulation,[],[f6212,f4626]) ).
fof(f4626,plain,
( sdtpldt0(sdtasdt0(xC,xD),xF) = sdtpldt0(xF,sdtasdt0(xC,xD))
| ~ spl5_143
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1454]) ).
fof(f6212,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xF)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_300 ),
inference(resolution,[],[f5982,f4426]) ).
fof(f5982,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_300 ),
inference(avatar_component_clause,[],[f5981]) ).
fof(f17364,plain,
( spl5_670
| ~ spl5_143
| ~ spl5_230
| ~ spl5_300 ),
inference(avatar_split_clause,[],[f6229,f5981,f4421,f1453,f17362]) ).
fof(f17362,plain,
( spl5_670
<=> ! [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_670])]) ).
fof(f6229,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xF)) = sdtasdt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_230
| ~ spl5_300 ),
inference(forward_demodulation,[],[f6211,f4480]) ).
fof(f4480,plain,
( sdtpldt0(sdtasdt0(xE,xE),xF) = sdtpldt0(xF,sdtasdt0(xE,xE))
| ~ spl5_143
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1454]) ).
fof(f6211,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xF)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_300 ),
inference(resolution,[],[f5982,f4422]) ).
fof(f17360,plain,
( spl5_669
| ~ spl5_142
| ~ spl5_231
| ~ spl5_299 ),
inference(avatar_split_clause,[],[f6206,f5972,f4425,f1449,f17358]) ).
fof(f17358,plain,
( spl5_669
<=> ! [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_669])]) ).
fof(f5972,plain,
( spl5_299
<=> ! [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_299])]) ).
fof(f6206,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_231
| ~ spl5_299 ),
inference(forward_demodulation,[],[f6188,f4625]) ).
fof(f4625,plain,
( sdtpldt0(sdtasdt0(xC,xD),xE) = sdtpldt0(xE,sdtasdt0(xC,xD))
| ~ spl5_142
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1450]) ).
fof(f6188,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_299 ),
inference(resolution,[],[f5973,f4426]) ).
fof(f5973,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_299 ),
inference(avatar_component_clause,[],[f5972]) ).
fof(f17356,plain,
( spl5_668
| ~ spl5_142
| ~ spl5_230
| ~ spl5_299 ),
inference(avatar_split_clause,[],[f6205,f5972,f4421,f1449,f17354]) ).
fof(f17354,plain,
( spl5_668
<=> ! [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_668])]) ).
fof(f6205,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xE)) = sdtasdt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_230
| ~ spl5_299 ),
inference(forward_demodulation,[],[f6187,f4479]) ).
fof(f4479,plain,
( sdtpldt0(sdtasdt0(xE,xE),xE) = sdtpldt0(xE,sdtasdt0(xE,xE))
| ~ spl5_142
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1450]) ).
fof(f6187,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_299 ),
inference(resolution,[],[f5973,f4422]) ).
fof(f17352,plain,
( spl5_667
| ~ spl5_141
| ~ spl5_231
| ~ spl5_298 ),
inference(avatar_split_clause,[],[f6178,f5968,f4425,f1445,f17350]) ).
fof(f17350,plain,
( spl5_667
<=> ! [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_667])]) ).
fof(f5968,plain,
( spl5_298
<=> ! [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_298])]) ).
fof(f6178,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_231
| ~ spl5_298 ),
inference(forward_demodulation,[],[f6160,f4624]) ).
fof(f4624,plain,
( sdtpldt0(sdtasdt0(xC,xD),xD) = sdtpldt0(xD,sdtasdt0(xC,xD))
| ~ spl5_141
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1446]) ).
fof(f6160,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_298 ),
inference(resolution,[],[f5969,f4426]) ).
fof(f5969,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_298 ),
inference(avatar_component_clause,[],[f5968]) ).
fof(f17348,plain,
( spl5_666
| ~ spl5_141
| ~ spl5_230
| ~ spl5_298 ),
inference(avatar_split_clause,[],[f6177,f5968,f4421,f1445,f17346]) ).
fof(f17346,plain,
( spl5_666
<=> ! [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_666])]) ).
fof(f6177,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xD)) = sdtasdt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_230
| ~ spl5_298 ),
inference(forward_demodulation,[],[f6159,f4478]) ).
fof(f4478,plain,
( sdtpldt0(sdtasdt0(xE,xE),xD) = sdtpldt0(xD,sdtasdt0(xE,xE))
| ~ spl5_141
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1446]) ).
fof(f6159,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_298 ),
inference(resolution,[],[f5969,f4422]) ).
fof(f17344,plain,
( spl5_665
| ~ spl5_13
| ~ spl5_163
| ~ spl5_559 ),
inference(avatar_split_clause,[],[f12864,f11304,f1538,f297,f17341]) ).
fof(f17341,plain,
( spl5_665
<=> sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_665])]) ).
fof(f12864,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_163
| ~ spl5_559 ),
inference(forward_demodulation,[],[f12838,f1540]) ).
fof(f12838,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(sdtasdt0(xA,sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_13
| ~ spl5_559 ),
inference(resolution,[],[f11305,f299]) ).
fof(f17339,plain,
( spl5_664
| ~ spl5_140
| ~ spl5_231
| ~ spl5_297 ),
inference(avatar_split_clause,[],[f6149,f5964,f4425,f1441,f17337]) ).
fof(f17337,plain,
( spl5_664
<=> ! [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_664])]) ).
fof(f5964,plain,
( spl5_297
<=> ! [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_297])]) ).
fof(f6149,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_231
| ~ spl5_297 ),
inference(forward_demodulation,[],[f6131,f4623]) ).
fof(f4623,plain,
( sdtpldt0(sdtasdt0(xC,xD),xC) = sdtpldt0(xC,sdtasdt0(xC,xD))
| ~ spl5_140
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1442]) ).
fof(f6131,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xC)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_297 ),
inference(resolution,[],[f5965,f4426]) ).
fof(f5965,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_297 ),
inference(avatar_component_clause,[],[f5964]) ).
fof(f17335,plain,
( spl5_663
| ~ spl5_140
| ~ spl5_230
| ~ spl5_297 ),
inference(avatar_split_clause,[],[f6148,f5964,f4421,f1441,f17333]) ).
fof(f17333,plain,
( spl5_663
<=> ! [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_663])]) ).
fof(f6148,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xC)) = sdtasdt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_230
| ~ spl5_297 ),
inference(forward_demodulation,[],[f6130,f4477]) ).
fof(f4477,plain,
( sdtpldt0(sdtasdt0(xE,xE),xC) = sdtpldt0(xC,sdtasdt0(xE,xE))
| ~ spl5_140
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1442]) ).
fof(f6130,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xC)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_297 ),
inference(resolution,[],[f5965,f4422]) ).
fof(f17331,plain,
( spl5_662
| ~ spl5_139
| ~ spl5_231
| ~ spl5_296 ),
inference(avatar_split_clause,[],[f6119,f5960,f4425,f1437,f17329]) ).
fof(f17329,plain,
( spl5_662
<=> ! [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_662])]) ).
fof(f5960,plain,
( spl5_296
<=> ! [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_296])]) ).
fof(f6119,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_231
| ~ spl5_296 ),
inference(forward_demodulation,[],[f6101,f4622]) ).
fof(f4622,plain,
( sdtpldt0(sdtasdt0(xC,xD),xB) = sdtpldt0(xB,sdtasdt0(xC,xD))
| ~ spl5_139
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1438]) ).
fof(f6101,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xB)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_296 ),
inference(resolution,[],[f5961,f4426]) ).
fof(f5961,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_296 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f17327,plain,
( spl5_661
| ~ spl5_139
| ~ spl5_230
| ~ spl5_296 ),
inference(avatar_split_clause,[],[f6118,f5960,f4421,f1437,f17325]) ).
fof(f17325,plain,
( spl5_661
<=> ! [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_661])]) ).
fof(f6118,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xB)) = sdtasdt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_230
| ~ spl5_296 ),
inference(forward_demodulation,[],[f6100,f4476]) ).
fof(f4476,plain,
( sdtpldt0(sdtasdt0(xE,xE),xB) = sdtpldt0(xB,sdtasdt0(xE,xE))
| ~ spl5_139
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1438]) ).
fof(f6100,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xB)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_296 ),
inference(resolution,[],[f5961,f4422]) ).
fof(f17323,plain,
( spl5_660
| ~ spl5_138
| ~ spl5_231
| ~ spl5_295 ),
inference(avatar_split_clause,[],[f6083,f5956,f4425,f1433,f17321]) ).
fof(f17321,plain,
( spl5_660
<=> ! [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_660])]) ).
fof(f5956,plain,
( spl5_295
<=> ! [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_295])]) ).
fof(f6083,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_231
| ~ spl5_295 ),
inference(forward_demodulation,[],[f6065,f4621]) ).
fof(f4621,plain,
( sdtpldt0(sdtasdt0(xC,xD),xA) = sdtpldt0(xA,sdtasdt0(xC,xD))
| ~ spl5_138
| ~ spl5_231 ),
inference(resolution,[],[f4426,f1434]) ).
fof(f6065,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),xA)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_295 ),
inference(resolution,[],[f5957,f4426]) ).
fof(f5957,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_295 ),
inference(avatar_component_clause,[],[f5956]) ).
fof(f17319,plain,
( spl5_659
| ~ spl5_138
| ~ spl5_230
| ~ spl5_295 ),
inference(avatar_split_clause,[],[f6082,f5956,f4421,f1433,f17317]) ).
fof(f17317,plain,
( spl5_659
<=> ! [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_659])]) ).
fof(f6082,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xA)) = sdtasdt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_230
| ~ spl5_295 ),
inference(forward_demodulation,[],[f6064,f4475]) ).
fof(f4475,plain,
( sdtpldt0(sdtasdt0(xE,xE),xA) = sdtpldt0(xA,sdtasdt0(xE,xE))
| ~ spl5_138
| ~ spl5_230 ),
inference(resolution,[],[f4422,f1434]) ).
fof(f6064,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),xA)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_295 ),
inference(resolution,[],[f5957,f4422]) ).
fof(f17315,plain,
( spl5_658
| ~ spl5_98
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4617,f4425,f946,f17313]) ).
fof(f17313,plain,
( spl5_658
<=> ! [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_658])]) ).
fof(f946,plain,
( spl5_98
<=> ! [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_98])]) ).
fof(f4617,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xD)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_98
| ~ spl5_231 ),
inference(resolution,[],[f4426,f947]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_98 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f17311,plain,
( spl5_657
| ~ spl5_97
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4616,f4425,f942,f17309]) ).
fof(f17309,plain,
( spl5_657
<=> ! [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_657])]) ).
fof(f4616,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xC,xD)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97
| ~ spl5_231 ),
inference(resolution,[],[f4426,f943]) ).
fof(f17307,plain,
( spl5_656
| ~ spl5_98
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4471,f4421,f946,f17305]) ).
fof(f17305,plain,
( spl5_656
<=> ! [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_656])]) ).
fof(f4471,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xE)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_98
| ~ spl5_230 ),
inference(resolution,[],[f4422,f947]) ).
fof(f17303,plain,
( spl5_655
| ~ spl5_97
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4470,f4421,f942,f17301]) ).
fof(f17301,plain,
( spl5_655
<=> ! [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_655])]) ).
fof(f4470,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xE,xE)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xE,xE)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97
| ~ spl5_230 ),
inference(resolution,[],[f4422,f943]) ).
fof(f17299,plain,
( spl5_654
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12825,f11300,f769,f548,f257,f17296]) ).
fof(f17296,plain,
( spl5_654
<=> sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_654])]) ).
fof(f11300,plain,
( spl5_558
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_558])]) ).
fof(f12825,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_61
| ~ spl5_91
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12800,f1199]) ).
fof(f12800,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_5
| ~ spl5_558 ),
inference(resolution,[],[f11301,f259]) ).
fof(f11301,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) )
| ~ spl5_558 ),
inference(avatar_component_clause,[],[f11300]) ).
fof(f16815,plain,
( spl5_653
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12824,f11300,f701,f548,f282,f16812]) ).
fof(f16812,plain,
( spl5_653
<=> sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_653])]) ).
fof(f12824,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_61
| ~ spl5_86
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12799,f1192]) ).
fof(f12799,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_10
| ~ spl5_558 ),
inference(resolution,[],[f11301,f284]) ).
fof(f16460,plain,
( spl5_652
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12823,f11300,f657,f548,f302,f16457]) ).
fof(f16457,plain,
( spl5_652
<=> sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_652])]) ).
fof(f12823,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_61
| ~ spl5_79
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12798,f1185]) ).
fof(f12798,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_14
| ~ spl5_558 ),
inference(resolution,[],[f11301,f304]) ).
fof(f16103,plain,
( spl5_651
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12822,f11300,f611,f548,f287,f16100]) ).
fof(f16100,plain,
( spl5_651
<=> sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_651])]) ).
fof(f12822,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_61
| ~ spl5_73
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12797,f1178]) ).
fof(f12797,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_11
| ~ spl5_558 ),
inference(resolution,[],[f11301,f289]) ).
fof(f15738,plain,
( spl5_650
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12821,f11300,f581,f548,f312,f15735]) ).
fof(f15735,plain,
( spl5_650
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_650])]) ).
fof(f12821,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_61
| ~ spl5_68
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12796,f1171]) ).
fof(f12796,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_16
| ~ spl5_558 ),
inference(resolution,[],[f11301,f314]) ).
fof(f15373,plain,
( spl5_649
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12820,f11300,f560,f548,f262,f15370]) ).
fof(f15370,plain,
( spl5_649
<=> sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_649])]) ).
fof(f12820,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_61
| ~ spl5_64
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12795,f1164]) ).
fof(f12795,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(sdtasdt0(xG,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_6
| ~ spl5_558 ),
inference(resolution,[],[f11301,f264]) ).
fof(f15296,plain,
( spl5_648
| ~ spl5_60
| ~ spl5_167
| ~ spl5_231
| ~ spl5_253
| ~ spl5_327 ),
inference(avatar_split_clause,[],[f6915,f6793,f4852,f4425,f2023,f544,f15294]) ).
fof(f15294,plain,
( spl5_648
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_648])]) ).
fof(f4852,plain,
( spl5_253
<=> sP2(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_253])]) ).
fof(f6793,plain,
( spl5_327
<=> ! [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_327])]) ).
fof(f6915,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_167
| ~ spl5_231
| ~ spl5_253
| ~ spl5_327 ),
inference(forward_demodulation,[],[f6914,f4942]) ).
fof(f4942,plain,
( sdtasdt0(xC,xD) = sdtpldt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_60
| ~ spl5_253 ),
inference(resolution,[],[f4854,f545]) ).
fof(f4854,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_253 ),
inference(avatar_component_clause,[],[f4852]) ).
fof(f6914,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_167
| ~ spl5_231
| ~ spl5_327 ),
inference(forward_demodulation,[],[f6895,f4645]) ).
fof(f4645,plain,
( sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_167
| ~ spl5_231 ),
inference(resolution,[],[f4426,f2024]) ).
fof(f6895,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xC,xD),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_327 ),
inference(resolution,[],[f6794,f4426]) ).
fof(f6794,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_327 ),
inference(avatar_component_clause,[],[f6793]) ).
fof(f15292,plain,
( spl5_647
| ~ spl5_60
| ~ spl5_167
| ~ spl5_230
| ~ spl5_247
| ~ spl5_327 ),
inference(avatar_split_clause,[],[f6913,f6793,f4765,f4421,f2023,f544,f15290]) ).
fof(f15290,plain,
( spl5_647
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_647])]) ).
fof(f4765,plain,
( spl5_247
<=> sP2(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_247])]) ).
fof(f6913,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_167
| ~ spl5_230
| ~ spl5_247
| ~ spl5_327 ),
inference(forward_demodulation,[],[f6912,f4896]) ).
fof(f4896,plain,
( sdtasdt0(xE,xE) = sdtpldt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_60
| ~ spl5_247 ),
inference(resolution,[],[f4767,f545]) ).
fof(f4767,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_247 ),
inference(avatar_component_clause,[],[f4765]) ).
fof(f6912,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_167
| ~ spl5_230
| ~ spl5_327 ),
inference(forward_demodulation,[],[f6894,f4499]) ).
fof(f4499,plain,
( sdtpldt0(sdtasdt0(xE,xE),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_167
| ~ spl5_230 ),
inference(resolution,[],[f4422,f2024]) ).
fof(f6894,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xE,xE),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_327 ),
inference(resolution,[],[f6794,f4422]) ).
fof(f15288,plain,
( spl5_646
| ~ spl5_231
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f5827,f5736,f4425,f15286]) ).
fof(f15286,plain,
( spl5_646
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_646])]) ).
fof(f5827,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_231
| ~ spl5_290 ),
inference(resolution,[],[f5737,f4426]) ).
fof(f15284,plain,
( spl5_645
| ~ spl5_230
| ~ spl5_290 ),
inference(avatar_split_clause,[],[f5826,f5736,f4421,f15282]) ).
fof(f15282,plain,
( spl5_645
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_645])]) ).
fof(f5826,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_230
| ~ spl5_290 ),
inference(resolution,[],[f5737,f4422]) ).
fof(f15280,plain,
( spl5_644
| ~ spl5_162
| ~ spl5_231
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f5715,f5018,f4425,f1534,f15278]) ).
fof(f5715,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_162
| ~ spl5_231
| ~ spl5_284 ),
inference(forward_demodulation,[],[f5697,f4644]) ).
fof(f5697,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xN) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_284 ),
inference(resolution,[],[f5019,f4426]) ).
fof(f15276,plain,
( spl5_643
| ~ spl5_162
| ~ spl5_230
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f5714,f5018,f4421,f1534,f15274]) ).
fof(f5714,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_162
| ~ spl5_230
| ~ spl5_284 ),
inference(forward_demodulation,[],[f5696,f4498]) ).
fof(f5696,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_284 ),
inference(resolution,[],[f5019,f4422]) ).
fof(f15272,plain,
( spl5_642
| ~ spl5_161
| ~ spl5_231
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f5683,f5014,f4425,f1530,f15270]) ).
fof(f5683,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_161
| ~ spl5_231
| ~ spl5_283 ),
inference(forward_demodulation,[],[f5665,f4643]) ).
fof(f5665,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xS) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_283 ),
inference(resolution,[],[f5015,f4426]) ).
fof(f15268,plain,
( spl5_641
| ~ spl5_161
| ~ spl5_230
| ~ spl5_283 ),
inference(avatar_split_clause,[],[f5682,f5014,f4421,f1530,f15266]) ).
fof(f5682,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_161
| ~ spl5_230
| ~ spl5_283 ),
inference(forward_demodulation,[],[f5664,f4497]) ).
fof(f5664,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xS) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_283 ),
inference(resolution,[],[f5015,f4422]) ).
fof(f15264,plain,
( spl5_640
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12819,f11300,f548,f522,f267,f15261]) ).
fof(f15261,plain,
( spl5_640
<=> sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_640])]) ).
fof(f12819,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_55
| ~ spl5_61
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12794,f1157]) ).
fof(f12794,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(sdtasdt0(xF,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_7
| ~ spl5_558 ),
inference(resolution,[],[f11301,f269]) ).
fof(f15259,plain,
( spl5_639
| ~ spl5_160
| ~ spl5_231
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f5658,f5010,f4425,f1526,f15257]) ).
fof(f5658,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_160
| ~ spl5_231
| ~ spl5_282 ),
inference(forward_demodulation,[],[f5640,f4642]) ).
fof(f5640,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xP) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_282 ),
inference(resolution,[],[f5011,f4426]) ).
fof(f15255,plain,
( spl5_638
| ~ spl5_160
| ~ spl5_230
| ~ spl5_282 ),
inference(avatar_split_clause,[],[f5657,f5010,f4421,f1526,f15253]) ).
fof(f5657,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_160
| ~ spl5_230
| ~ spl5_282 ),
inference(forward_demodulation,[],[f5639,f4496]) ).
fof(f5639,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xP) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_282 ),
inference(resolution,[],[f5011,f4422]) ).
fof(f15251,plain,
( spl5_637
| ~ spl5_159
| ~ spl5_231
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f5631,f5006,f4425,f1522,f15249]) ).
fof(f5631,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_231
| ~ spl5_281 ),
inference(forward_demodulation,[],[f5613,f4641]) ).
fof(f5613,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xR) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_281 ),
inference(resolution,[],[f5007,f4426]) ).
fof(f15247,plain,
( spl5_636
| ~ spl5_159
| ~ spl5_230
| ~ spl5_281 ),
inference(avatar_split_clause,[],[f5630,f5006,f4421,f1522,f15245]) ).
fof(f5630,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_159
| ~ spl5_230
| ~ spl5_281 ),
inference(forward_demodulation,[],[f5612,f4495]) ).
fof(f5612,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xR) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_281 ),
inference(resolution,[],[f5007,f4422]) ).
fof(f15243,plain,
( spl5_635
| ~ spl5_158
| ~ spl5_231
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f5607,f5002,f4425,f1518,f15241]) ).
fof(f5607,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_231
| ~ spl5_280 ),
inference(forward_demodulation,[],[f5589,f4640]) ).
fof(f5589,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xH) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_280 ),
inference(resolution,[],[f5003,f4426]) ).
fof(f15239,plain,
( spl5_634
| ~ spl5_158
| ~ spl5_230
| ~ spl5_280 ),
inference(avatar_split_clause,[],[f5606,f5002,f4421,f1518,f15237]) ).
fof(f5606,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_158
| ~ spl5_230
| ~ spl5_280 ),
inference(forward_demodulation,[],[f5588,f4494]) ).
fof(f5588,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xH) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_280 ),
inference(resolution,[],[f5003,f4422]) ).
fof(f15235,plain,
( spl5_633
| ~ spl5_157
| ~ spl5_231
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f5575,f4998,f4425,f1514,f15233]) ).
fof(f5575,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_157
| ~ spl5_231
| ~ spl5_279 ),
inference(forward_demodulation,[],[f5557,f4639]) ).
fof(f5557,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xG) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_279 ),
inference(resolution,[],[f4999,f4426]) ).
fof(f15231,plain,
( spl5_632
| ~ spl5_157
| ~ spl5_230
| ~ spl5_279 ),
inference(avatar_split_clause,[],[f5574,f4998,f4421,f1514,f15229]) ).
fof(f5574,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_157
| ~ spl5_230
| ~ spl5_279 ),
inference(forward_demodulation,[],[f5556,f4493]) ).
fof(f5556,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xG) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_279 ),
inference(resolution,[],[f4999,f4422]) ).
fof(f15227,plain,
( spl5_631
| ~ spl5_156
| ~ spl5_231
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f5542,f4994,f4425,f1510,f15225]) ).
fof(f5542,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_156
| ~ spl5_231
| ~ spl5_278 ),
inference(forward_demodulation,[],[f5524,f4638]) ).
fof(f5524,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xF) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_278 ),
inference(resolution,[],[f4995,f4426]) ).
fof(f15223,plain,
( spl5_630
| ~ spl5_156
| ~ spl5_230
| ~ spl5_278 ),
inference(avatar_split_clause,[],[f5541,f4994,f4421,f1510,f15221]) ).
fof(f5541,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_156
| ~ spl5_230
| ~ spl5_278 ),
inference(forward_demodulation,[],[f5523,f4492]) ).
fof(f5523,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xF) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_278 ),
inference(resolution,[],[f4995,f4422]) ).
fof(f15219,plain,
( spl5_629
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12818,f11300,f548,f484,f307,f15216]) ).
fof(f15216,plain,
( spl5_629
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_629])]) ).
fof(f12818,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_48
| ~ spl5_61
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12793,f1150]) ).
fof(f12793,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_15
| ~ spl5_558 ),
inference(resolution,[],[f11301,f309]) ).
fof(f15214,plain,
( spl5_628
| ~ spl5_155
| ~ spl5_231
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f5518,f4985,f4425,f1506,f15212]) ).
fof(f5518,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_155
| ~ spl5_231
| ~ spl5_276 ),
inference(forward_demodulation,[],[f5500,f4637]) ).
fof(f5500,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xE) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_276 ),
inference(resolution,[],[f4986,f4426]) ).
fof(f15210,plain,
( spl5_627
| ~ spl5_155
| ~ spl5_230
| ~ spl5_276 ),
inference(avatar_split_clause,[],[f5517,f4985,f4421,f1506,f15208]) ).
fof(f5517,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_155
| ~ spl5_230
| ~ spl5_276 ),
inference(forward_demodulation,[],[f5499,f4491]) ).
fof(f5499,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xE) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_276 ),
inference(resolution,[],[f4986,f4422]) ).
fof(f15206,plain,
( spl5_626
| ~ spl5_154
| ~ spl5_231
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f5489,f4981,f4425,f1502,f15204]) ).
fof(f5489,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_154
| ~ spl5_231
| ~ spl5_275 ),
inference(forward_demodulation,[],[f5471,f4636]) ).
fof(f5471,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xD) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_275 ),
inference(resolution,[],[f4982,f4426]) ).
fof(f15202,plain,
( spl5_625
| ~ spl5_154
| ~ spl5_230
| ~ spl5_275 ),
inference(avatar_split_clause,[],[f5488,f4981,f4421,f1502,f15200]) ).
fof(f5488,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_154
| ~ spl5_230
| ~ spl5_275 ),
inference(forward_demodulation,[],[f5470,f4490]) ).
fof(f5470,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xD) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_275 ),
inference(resolution,[],[f4982,f4422]) ).
fof(f15198,plain,
( spl5_624
| ~ spl5_153
| ~ spl5_231
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f5459,f4977,f4425,f1498,f15196]) ).
fof(f5459,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_231
| ~ spl5_274 ),
inference(forward_demodulation,[],[f5441,f4635]) ).
fof(f5441,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xC) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_274 ),
inference(resolution,[],[f4978,f4426]) ).
fof(f15194,plain,
( spl5_623
| ~ spl5_153
| ~ spl5_230
| ~ spl5_274 ),
inference(avatar_split_clause,[],[f5458,f4977,f4421,f1498,f15192]) ).
fof(f5458,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_153
| ~ spl5_230
| ~ spl5_274 ),
inference(forward_demodulation,[],[f5440,f4489]) ).
fof(f5440,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xC) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_274 ),
inference(resolution,[],[f4978,f4422]) ).
fof(f15190,plain,
( spl5_622
| ~ spl5_151
| ~ spl5_231
| ~ spl5_273 ),
inference(avatar_split_clause,[],[f5427,f4973,f4425,f1489,f15188]) ).
fof(f5427,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_231
| ~ spl5_273 ),
inference(forward_demodulation,[],[f5409,f4634]) ).
fof(f5409,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xB) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_273 ),
inference(resolution,[],[f4974,f4426]) ).
fof(f15186,plain,
( spl5_621
| ~ spl5_151
| ~ spl5_230
| ~ spl5_273 ),
inference(avatar_split_clause,[],[f5426,f4973,f4421,f1489,f15184]) ).
fof(f5426,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_151
| ~ spl5_230
| ~ spl5_273 ),
inference(forward_demodulation,[],[f5408,f4488]) ).
fof(f5408,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xB) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_273 ),
inference(resolution,[],[f4974,f4422]) ).
fof(f15182,plain,
( spl5_620
| ~ spl5_150
| ~ spl5_231
| ~ spl5_272 ),
inference(avatar_split_clause,[],[f5390,f4969,f4425,f1485,f15180]) ).
fof(f5390,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_231
| ~ spl5_272 ),
inference(forward_demodulation,[],[f5372,f4633]) ).
fof(f5372,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),xA) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_272 ),
inference(resolution,[],[f4970,f4426]) ).
fof(f15178,plain,
( spl5_619
| ~ spl5_150
| ~ spl5_230
| ~ spl5_272 ),
inference(avatar_split_clause,[],[f5389,f4969,f4421,f1485,f15176]) ).
fof(f5389,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_150
| ~ spl5_230
| ~ spl5_272 ),
inference(forward_demodulation,[],[f5371,f4487]) ).
fof(f5371,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xA) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_272 ),
inference(resolution,[],[f4970,f4422]) ).
fof(f15174,plain,
( spl5_618
| ~ spl5_9
| ~ spl5_223
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12817,f11300,f3906,f277,f15171]) ).
fof(f15171,plain,
( spl5_618
<=> sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_618])]) ).
fof(f12817,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_223
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12792,f3908]) ).
fof(f12792,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(sdtasdt0(xD,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_9
| ~ spl5_558 ),
inference(resolution,[],[f11301,f279]) ).
fof(f15169,plain,
( spl5_617
| ~ spl5_149
| ~ spl5_231
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f5356,f4965,f4425,f1481,f15167]) ).
fof(f15167,plain,
( spl5_617
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_617])]) ).
fof(f5356,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_231
| ~ spl5_271 ),
inference(forward_demodulation,[],[f5338,f4632]) ).
fof(f5338,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xN) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xN))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_271 ),
inference(resolution,[],[f4966,f4426]) ).
fof(f15165,plain,
( spl5_616
| ~ spl5_149
| ~ spl5_230
| ~ spl5_271 ),
inference(avatar_split_clause,[],[f5355,f4965,f4421,f1481,f15163]) ).
fof(f15163,plain,
( spl5_616
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_616])]) ).
fof(f5355,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(xN,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_149
| ~ spl5_230
| ~ spl5_271 ),
inference(forward_demodulation,[],[f5337,f4486]) ).
fof(f5337,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xN) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xN))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_271 ),
inference(resolution,[],[f4966,f4422]) ).
fof(f15161,plain,
( spl5_615
| ~ spl5_148
| ~ spl5_231
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f5330,f4961,f4425,f1477,f15159]) ).
fof(f15159,plain,
( spl5_615
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_615])]) ).
fof(f5330,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_231
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5312,f4631]) ).
fof(f5312,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xS) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xS))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_270 ),
inference(resolution,[],[f4962,f4426]) ).
fof(f15157,plain,
( spl5_614
| ~ spl5_148
| ~ spl5_230
| ~ spl5_270 ),
inference(avatar_split_clause,[],[f5329,f4961,f4421,f1477,f15155]) ).
fof(f15155,plain,
( spl5_614
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_614])]) ).
fof(f5329,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(xS,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_148
| ~ spl5_230
| ~ spl5_270 ),
inference(forward_demodulation,[],[f5311,f4485]) ).
fof(f5311,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xS) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xS))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_270 ),
inference(resolution,[],[f4962,f4422]) ).
fof(f15153,plain,
( spl5_613
| ~ spl5_147
| ~ spl5_231
| ~ spl5_269 ),
inference(avatar_split_clause,[],[f5305,f4957,f4425,f1473,f15151]) ).
fof(f15151,plain,
( spl5_613
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_613])]) ).
fof(f5305,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_231
| ~ spl5_269 ),
inference(forward_demodulation,[],[f5287,f4630]) ).
fof(f5287,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xP) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xP))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_269 ),
inference(resolution,[],[f4958,f4426]) ).
fof(f15149,plain,
( spl5_612
| ~ spl5_147
| ~ spl5_230
| ~ spl5_269 ),
inference(avatar_split_clause,[],[f5304,f4957,f4421,f1473,f15147]) ).
fof(f15147,plain,
( spl5_612
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_612])]) ).
fof(f5304,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(xP,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_147
| ~ spl5_230
| ~ spl5_269 ),
inference(forward_demodulation,[],[f5286,f4484]) ).
fof(f5286,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xP) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xP))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_269 ),
inference(resolution,[],[f4958,f4422]) ).
fof(f15145,plain,
( spl5_611
| ~ spl5_146
| ~ spl5_231
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f5278,f4953,f4425,f1469,f15143]) ).
fof(f15143,plain,
( spl5_611
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_611])]) ).
fof(f5278,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_231
| ~ spl5_268 ),
inference(forward_demodulation,[],[f5260,f4629]) ).
fof(f5260,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xR) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xR))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_268 ),
inference(resolution,[],[f4954,f4426]) ).
fof(f15141,plain,
( spl5_610
| ~ spl5_146
| ~ spl5_230
| ~ spl5_268 ),
inference(avatar_split_clause,[],[f5277,f4953,f4421,f1469,f15139]) ).
fof(f15139,plain,
( spl5_610
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_610])]) ).
fof(f5277,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(xR,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_146
| ~ spl5_230
| ~ spl5_268 ),
inference(forward_demodulation,[],[f5259,f4483]) ).
fof(f5259,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xR) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xR))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_268 ),
inference(resolution,[],[f4954,f4422]) ).
fof(f15137,plain,
( spl5_609
| ~ spl5_145
| ~ spl5_231
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f5255,f4949,f4425,f1465,f15135]) ).
fof(f15135,plain,
( spl5_609
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_609])]) ).
fof(f5255,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_231
| ~ spl5_267 ),
inference(forward_demodulation,[],[f5237,f4628]) ).
fof(f5237,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xH) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xH))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_267 ),
inference(resolution,[],[f4950,f4426]) ).
fof(f15133,plain,
( spl5_608
| ~ spl5_145
| ~ spl5_230
| ~ spl5_267 ),
inference(avatar_split_clause,[],[f5254,f4949,f4421,f1465,f15131]) ).
fof(f15131,plain,
( spl5_608
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_608])]) ).
fof(f5254,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(xH,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_145
| ~ spl5_230
| ~ spl5_267 ),
inference(forward_demodulation,[],[f5236,f4482]) ).
fof(f5236,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xH) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xH))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_267 ),
inference(resolution,[],[f4950,f4422]) ).
fof(f15129,plain,
( spl5_607
| ~ spl5_8
| ~ spl5_191
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12816,f11300,f3231,f272,f15126]) ).
fof(f15126,plain,
( spl5_607
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_607])]) ).
fof(f12816,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_191
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12791,f3233]) ).
fof(f12791,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(sdtasdt0(xC,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_8
| ~ spl5_558 ),
inference(resolution,[],[f11301,f274]) ).
fof(f15124,plain,
( spl5_606
| ~ spl5_144
| ~ spl5_231
| ~ spl5_266 ),
inference(avatar_split_clause,[],[f5223,f4938,f4425,f1461,f15122]) ).
fof(f15122,plain,
( spl5_606
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_606])]) ).
fof(f5223,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_144
| ~ spl5_231
| ~ spl5_266 ),
inference(forward_demodulation,[],[f5205,f4627]) ).
fof(f5205,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xG) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xG))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_266 ),
inference(resolution,[],[f4939,f4426]) ).
fof(f15120,plain,
( spl5_605
| ~ spl5_144
| ~ spl5_230
| ~ spl5_266 ),
inference(avatar_split_clause,[],[f5222,f4938,f4421,f1461,f15118]) ).
fof(f15118,plain,
( spl5_605
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_605])]) ).
fof(f5222,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(xG,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_144
| ~ spl5_230
| ~ spl5_266 ),
inference(forward_demodulation,[],[f5204,f4481]) ).
fof(f5204,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xG) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xG))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_266 ),
inference(resolution,[],[f4939,f4422]) ).
fof(f15116,plain,
( spl5_604
| ~ spl5_143
| ~ spl5_231
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f5190,f4934,f4425,f1453,f15114]) ).
fof(f15114,plain,
( spl5_604
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_604])]) ).
fof(f5190,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_231
| ~ spl5_265 ),
inference(forward_demodulation,[],[f5172,f4626]) ).
fof(f5172,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xF) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xF))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_265 ),
inference(resolution,[],[f4935,f4426]) ).
fof(f15112,plain,
( spl5_603
| ~ spl5_143
| ~ spl5_230
| ~ spl5_265 ),
inference(avatar_split_clause,[],[f5189,f4934,f4421,f1453,f15110]) ).
fof(f15110,plain,
( spl5_603
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_603])]) ).
fof(f5189,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(xF,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_143
| ~ spl5_230
| ~ spl5_265 ),
inference(forward_demodulation,[],[f5171,f4480]) ).
fof(f5171,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xF) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xF))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_265 ),
inference(resolution,[],[f4935,f4422]) ).
fof(f15108,plain,
( spl5_602
| ~ spl5_142
| ~ spl5_231
| ~ spl5_264 ),
inference(avatar_split_clause,[],[f5166,f4930,f4425,f1449,f15106]) ).
fof(f15106,plain,
( spl5_602
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_602])]) ).
fof(f5166,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_231
| ~ spl5_264 ),
inference(forward_demodulation,[],[f5148,f4625]) ).
fof(f5148,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xE) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xE))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_264 ),
inference(resolution,[],[f4931,f4426]) ).
fof(f15104,plain,
( spl5_601
| ~ spl5_142
| ~ spl5_230
| ~ spl5_264 ),
inference(avatar_split_clause,[],[f5165,f4930,f4421,f1449,f15102]) ).
fof(f15102,plain,
( spl5_601
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_601])]) ).
fof(f5165,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(xE,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_142
| ~ spl5_230
| ~ spl5_264 ),
inference(forward_demodulation,[],[f5147,f4479]) ).
fof(f5147,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xE) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xE))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_264 ),
inference(resolution,[],[f4931,f4422]) ).
fof(f15100,plain,
( spl5_600
| ~ spl5_141
| ~ spl5_231
| ~ spl5_263 ),
inference(avatar_split_clause,[],[f5138,f4926,f4425,f1445,f15098]) ).
fof(f15098,plain,
( spl5_600
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_600])]) ).
fof(f5138,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_231
| ~ spl5_263 ),
inference(forward_demodulation,[],[f5120,f4624]) ).
fof(f5120,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xD) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xD))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_263 ),
inference(resolution,[],[f4927,f4426]) ).
fof(f15096,plain,
( spl5_599
| ~ spl5_141
| ~ spl5_230
| ~ spl5_263 ),
inference(avatar_split_clause,[],[f5137,f4926,f4421,f1445,f15094]) ).
fof(f15094,plain,
( spl5_599
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_599])]) ).
fof(f5137,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(xD,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_141
| ~ spl5_230
| ~ spl5_263 ),
inference(forward_demodulation,[],[f5119,f4478]) ).
fof(f5119,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xD) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xD))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_263 ),
inference(resolution,[],[f4927,f4422]) ).
fof(f15092,plain,
( spl5_598
| ~ spl5_140
| ~ spl5_231
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f5104,f4922,f4425,f1441,f15090]) ).
fof(f15090,plain,
( spl5_598
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_598])]) ).
fof(f5104,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_231
| ~ spl5_262 ),
inference(forward_demodulation,[],[f5086,f4623]) ).
fof(f5086,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xC) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xC))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_262 ),
inference(resolution,[],[f4923,f4426]) ).
fof(f15088,plain,
( spl5_597
| ~ spl5_140
| ~ spl5_230
| ~ spl5_262 ),
inference(avatar_split_clause,[],[f5103,f4922,f4421,f1441,f15086]) ).
fof(f15086,plain,
( spl5_597
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_597])]) ).
fof(f5103,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(xC,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_140
| ~ spl5_230
| ~ spl5_262 ),
inference(forward_demodulation,[],[f5085,f4477]) ).
fof(f5085,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xC) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xC))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_262 ),
inference(resolution,[],[f4923,f4422]) ).
fof(f15060,plain,
( spl5_596
| ~ spl5_139
| ~ spl5_231
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f5074,f4918,f4425,f1437,f15058]) ).
fof(f15058,plain,
( spl5_596
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_596])]) ).
fof(f5074,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_231
| ~ spl5_261 ),
inference(forward_demodulation,[],[f5056,f4622]) ).
fof(f5056,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xB) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xB))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_261 ),
inference(resolution,[],[f4919,f4426]) ).
fof(f15056,plain,
( spl5_595
| ~ spl5_139
| ~ spl5_230
| ~ spl5_261 ),
inference(avatar_split_clause,[],[f5073,f4918,f4421,f1437,f15054]) ).
fof(f15054,plain,
( spl5_595
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_595])]) ).
fof(f5073,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(xB,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_139
| ~ spl5_230
| ~ spl5_261 ),
inference(forward_demodulation,[],[f5055,f4476]) ).
fof(f5055,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xB) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xB))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_261 ),
inference(resolution,[],[f4919,f4422]) ).
fof(f15052,plain,
( spl5_594
| ~ spl5_138
| ~ spl5_231
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f5043,f4914,f4425,f1433,f15050]) ).
fof(f15050,plain,
( spl5_594
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_594])]) ).
fof(f5043,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_231
| ~ spl5_260 ),
inference(forward_demodulation,[],[f5025,f4621]) ).
fof(f5025,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),xA) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),xA))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_260 ),
inference(resolution,[],[f4915,f4426]) ).
fof(f15048,plain,
( spl5_593
| ~ spl5_138
| ~ spl5_230
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f5042,f4914,f4421,f1433,f15046]) ).
fof(f15046,plain,
( spl5_593
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_593])]) ).
fof(f5042,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(xA,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_138
| ~ spl5_230
| ~ spl5_260 ),
inference(forward_demodulation,[],[f5024,f4475]) ).
fof(f5024,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),xA) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),xA))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_260 ),
inference(resolution,[],[f4915,f4422]) ).
fof(f15037,plain,
( spl5_592
| ~ spl5_22
| ~ spl5_346 ),
inference(avatar_split_clause,[],[f13663,f7961,f342,f15034]) ).
fof(f15034,plain,
( spl5_592
<=> sP2(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_592])]) ).
fof(f13663,plain,
( sP2(sdtpldt0(xR,xS))
| ~ spl5_22
| ~ spl5_346 ),
inference(resolution,[],[f7962,f343]) ).
fof(f7962,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl5_346 ),
inference(avatar_component_clause,[],[f7961]) ).
fof(f15008,plain,
( spl5_591
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_170
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(avatar_split_clause,[],[f14787,f14574,f12955,f11092,f4451,f4433,f2103,f2027,f1205,f552,f540,f15005]) ).
fof(f15005,plain,
( spl5_591
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_591])]) ).
fof(f14787,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_170
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14786,f1209]) ).
fof(f14786,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(smndt0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),sz0z00)
| ~ spl5_62
| ~ spl5_168
| ~ spl5_170
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14785,f14581]) ).
fof(f14785,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_168
| ~ spl5_170
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14623,f14450]) ).
fof(f14623,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_170
| ~ spl5_235 ),
inference(resolution,[],[f4452,f2104]) ).
fof(f14979,plain,
( spl5_590
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(avatar_split_clause,[],[f14784,f14574,f12955,f11092,f4451,f4433,f2027,f1205,f552,f540,f14976]) ).
fof(f14976,plain,
( spl5_590
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_590])]) ).
fof(f14784,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_59
| ~ spl5_62
| ~ spl5_110
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14783,f1209]) ).
fof(f14783,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_62
| ~ spl5_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581
| ~ spl5_588 ),
inference(forward_demodulation,[],[f14782,f14581]) ).
fof(f14782,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_168
| ~ spl5_233
| ~ spl5_235
| ~ spl5_516
| ~ spl5_581 ),
inference(forward_demodulation,[],[f14622,f14450]) ).
fof(f14622,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_168
| ~ spl5_235 ),
inference(resolution,[],[f4452,f2028]) ).
fof(f14943,plain,
( spl5_589
| ~ spl5_22
| ~ spl5_235 ),
inference(avatar_split_clause,[],[f14586,f4451,f342,f14940]) ).
fof(f14940,plain,
( spl5_589
<=> sP2(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_589])]) ).
fof(f14586,plain,
( sP2(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ spl5_22
| ~ spl5_235 ),
inference(resolution,[],[f4452,f343]) ).
fof(f14585,plain,
( ~ spl5_231
| ~ spl5_233
| ~ spl5_71
| spl5_235 ),
inference(avatar_split_clause,[],[f4580,f4451,f594,f4433,f4425]) ).
fof(f594,plain,
( spl5_71
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f4580,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_71
| spl5_235 ),
inference(resolution,[],[f4453,f595]) ).
fof(f595,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f4453,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| spl5_235 ),
inference(avatar_component_clause,[],[f4451]) ).
fof(f14577,plain,
( spl5_588
| ~ spl5_22
| ~ spl5_233 ),
inference(avatar_split_clause,[],[f14127,f4433,f342,f14574]) ).
fof(f14127,plain,
( sP2(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl5_22
| ~ spl5_233 ),
inference(resolution,[],[f4434,f343]) ).
fof(f14454,plain,
( ~ spl5_11
| ~ spl5_10
| spl5_587
| ~ spl5_25
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1095,f1077,f369,f14452,f282,f287]) ).
fof(f14452,plain,
( spl5_587
<=> ! [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_587])]) ).
fof(f1077,plain,
( spl5_106
<=> ! [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_106])]) ).
fof(f1095,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_106 ),
inference(superposition,[],[f1078,f371]) ).
fof(f1078,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_106 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f14126,plain,
( ~ spl5_346
| ~ spl5_320
| ~ spl5_71
| spl5_233 ),
inference(avatar_split_clause,[],[f4445,f4433,f594,f6379,f7961]) ).
fof(f4445,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_71
| spl5_233 ),
inference(resolution,[],[f4435,f595]) ).
fof(f4435,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl5_233 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f14003,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_245
| spl5_586
| ~ spl5_25
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1088,f1077,f369,f14001,f4753,f282,f287]) ).
fof(f4753,plain,
( spl5_245
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_245])]) ).
fof(f14001,plain,
( spl5_586
<=> ! [X0,X1] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xR,X0)
| ~ sdtlseqdt0(xS,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_586])]) ).
fof(f1088,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_106 ),
inference(superposition,[],[f1078,f371]) ).
fof(f13993,plain,
( ~ spl5_346
| ~ spl5_319
| ~ spl5_584
| spl5_585
| ~ spl5_54
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f887,f710,f517,f13990,f13986,f6375,f7961]) ).
fof(f13986,plain,
( spl5_584
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_584])]) ).
fof(f13990,plain,
( spl5_585
<=> sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_585])]) ).
fof(f710,plain,
( spl5_88
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f887,plain,
( sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_54
| ~ spl5_88 ),
inference(resolution,[],[f711,f519]) ).
fof(f519,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f711,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f13662,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_71
| spl5_346 ),
inference(avatar_split_clause,[],[f7968,f7961,f594,f282,f287]) ).
fof(f7968,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_71
| spl5_346 ),
inference(resolution,[],[f7963,f595]) ).
fof(f7963,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl5_346 ),
inference(avatar_component_clause,[],[f7961]) ).
fof(f13520,plain,
( spl5_583
| ~ spl5_18
| ~ spl5_52
| ~ spl5_287
| ~ spl5_565 ),
inference(avatar_split_clause,[],[f13070,f12889,f5689,f500,f322,f13517]) ).
fof(f13517,plain,
( spl5_583
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_583])]) ).
fof(f12889,plain,
( spl5_565
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_565])]) ).
fof(f13070,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_287
| ~ spl5_565 ),
inference(forward_demodulation,[],[f13069,f5691]) ).
fof(f13069,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_565 ),
inference(forward_demodulation,[],[f13045,f502]) ).
fof(f13045,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xC,xD)))
| ~ spl5_18
| ~ spl5_565 ),
inference(resolution,[],[f12890,f324]) ).
fof(f12890,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD))) )
| ~ spl5_565 ),
inference(avatar_component_clause,[],[f12889]) ).
fof(f13139,plain,
( spl5_582
| ~ spl5_18
| ~ spl5_52
| ~ spl5_285
| ~ spl5_562 ),
inference(avatar_split_clause,[],[f12983,f12877,f5112,f500,f322,f13136]) ).
fof(f13136,plain,
( spl5_582
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_582])]) ).
fof(f12877,plain,
( spl5_562
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_562])]) ).
fof(f12983,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_285
| ~ spl5_562 ),
inference(forward_demodulation,[],[f12982,f5114]) ).
fof(f12982,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_52
| ~ spl5_562 ),
inference(forward_demodulation,[],[f12958,f502]) ).
fof(f12958,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xE,xE)))
| ~ spl5_18
| ~ spl5_562 ),
inference(resolution,[],[f12878,f324]) ).
fof(f12878,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE))) )
| ~ spl5_562 ),
inference(avatar_component_clause,[],[f12877]) ).
fof(f12957,plain,
( spl5_581
| ~ spl5_168
| ~ spl5_231
| ~ spl5_287
| ~ spl5_328 ),
inference(avatar_split_clause,[],[f6952,f6798,f5689,f4425,f2027,f12955]) ).
fof(f6952,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_231
| ~ spl5_287
| ~ spl5_328 ),
inference(forward_demodulation,[],[f6951,f5691]) ).
fof(f6951,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_231
| ~ spl5_328 ),
inference(forward_demodulation,[],[f6932,f4646]) ).
fof(f4646,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_168
| ~ spl5_231 ),
inference(resolution,[],[f4426,f2028]) ).
fof(f6932,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_328 ),
inference(resolution,[],[f6799,f4426]) ).
fof(f12953,plain,
( spl5_580
| ~ spl5_168
| ~ spl5_230
| ~ spl5_285
| ~ spl5_328 ),
inference(avatar_split_clause,[],[f6950,f6798,f5112,f4421,f2027,f12951]) ).
fof(f6950,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_230
| ~ spl5_285
| ~ spl5_328 ),
inference(forward_demodulation,[],[f6949,f5114]) ).
fof(f6949,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_230
| ~ spl5_328 ),
inference(forward_demodulation,[],[f6931,f4500]) ).
fof(f4500,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_168
| ~ spl5_230 ),
inference(resolution,[],[f4422,f2028]) ).
fof(f6931,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_328 ),
inference(resolution,[],[f6799,f4422]) ).
fof(f12949,plain,
( spl5_579
| ~ spl5_60
| ~ spl5_167
| ~ spl5_231
| ~ spl5_253
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f5894,f5744,f4852,f4425,f2023,f544,f12947]) ).
fof(f5894,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_167
| ~ spl5_231
| ~ spl5_253
| ~ spl5_292 ),
inference(forward_demodulation,[],[f5893,f4942]) ).
fof(f5893,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_167
| ~ spl5_231
| ~ spl5_292 ),
inference(forward_demodulation,[],[f5874,f4645]) ).
fof(f5874,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_292 ),
inference(resolution,[],[f5745,f4426]) ).
fof(f12945,plain,
( spl5_578
| ~ spl5_60
| ~ spl5_167
| ~ spl5_230
| ~ spl5_247
| ~ spl5_292 ),
inference(avatar_split_clause,[],[f5892,f5744,f4765,f4421,f2023,f544,f12943]) ).
fof(f12943,plain,
( spl5_578
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_578])]) ).
fof(f5892,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_60
| ~ spl5_167
| ~ spl5_230
| ~ spl5_247
| ~ spl5_292 ),
inference(forward_demodulation,[],[f5891,f4896]) ).
fof(f5891,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_167
| ~ spl5_230
| ~ spl5_292 ),
inference(forward_demodulation,[],[f5873,f4499]) ).
fof(f5873,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_292 ),
inference(resolution,[],[f5745,f4422]) ).
fof(f12941,plain,
( spl5_577
| ~ spl5_12
| ~ spl5_172
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12815,f11300,f2464,f292,f12938]) ).
fof(f12938,plain,
( spl5_577
<=> sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_577])]) ).
fof(f12815,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_172
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12790,f2466]) ).
fof(f12790,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(sdtasdt0(xB,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_12
| ~ spl5_558 ),
inference(resolution,[],[f11301,f294]) ).
fof(f12936,plain,
( spl5_576
| ~ spl5_63
| ~ spl5_231
| ~ spl5_253
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f5810,f5732,f4852,f4425,f556,f12934]) ).
fof(f12934,plain,
( spl5_576
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_576])]) ).
fof(f5810,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))))
| ~ aScalar0(X0) )
| ~ spl5_63
| ~ spl5_231
| ~ spl5_253
| ~ spl5_289 ),
inference(forward_demodulation,[],[f5791,f4945]) ).
fof(f4945,plain,
( sdtasdt0(xC,xD) = smndt0(smndt0(sdtasdt0(xC,xD)))
| ~ spl5_63
| ~ spl5_253 ),
inference(resolution,[],[f4854,f557]) ).
fof(f5791,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_231
| ~ spl5_289 ),
inference(resolution,[],[f5733,f4426]) ).
fof(f12932,plain,
( spl5_575
| ~ spl5_63
| ~ spl5_230
| ~ spl5_247
| ~ spl5_289 ),
inference(avatar_split_clause,[],[f5809,f5732,f4765,f4421,f556,f12930]) ).
fof(f12930,plain,
( spl5_575
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_575])]) ).
fof(f5809,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))))
| ~ aScalar0(X0) )
| ~ spl5_63
| ~ spl5_230
| ~ spl5_247
| ~ spl5_289 ),
inference(forward_demodulation,[],[f5790,f4899]) ).
fof(f4899,plain,
( sdtasdt0(xE,xE) = smndt0(smndt0(sdtasdt0(xE,xE)))
| ~ spl5_63
| ~ spl5_247 ),
inference(resolution,[],[f4767,f557]) ).
fof(f5790,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(smndt0(sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(X0,smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_230
| ~ spl5_289 ),
inference(resolution,[],[f5733,f4422]) ).
fof(f12928,plain,
( spl5_574
| ~ spl5_63
| ~ spl5_231
| ~ spl5_253
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f5774,f5728,f4852,f4425,f556,f12926]) ).
fof(f12926,plain,
( spl5_574
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_574])]) ).
fof(f5774,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) )
| ~ spl5_63
| ~ spl5_231
| ~ spl5_253
| ~ spl5_288 ),
inference(forward_demodulation,[],[f5755,f4945]) ).
fof(f5755,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(xC,xD)))) )
| ~ spl5_231
| ~ spl5_288 ),
inference(resolution,[],[f5729,f4426]) ).
fof(f12924,plain,
( spl5_573
| ~ spl5_63
| ~ spl5_230
| ~ spl5_247
| ~ spl5_288 ),
inference(avatar_split_clause,[],[f5773,f5728,f4765,f4421,f556,f12922]) ).
fof(f12922,plain,
( spl5_573
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_573])]) ).
fof(f5773,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_63
| ~ spl5_230
| ~ spl5_247
| ~ spl5_288 ),
inference(forward_demodulation,[],[f5754,f4899]) ).
fof(f5754,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),smndt0(smndt0(sdtasdt0(xE,xE)))) )
| ~ spl5_230
| ~ spl5_288 ),
inference(resolution,[],[f5729,f4422]) ).
fof(f12920,plain,
( spl5_572
| ~ spl5_231
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f4830,f4784,f4425,f12918]) ).
fof(f12918,plain,
( spl5_572
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_572])]) ).
fof(f4830,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_251 ),
inference(resolution,[],[f4785,f4426]) ).
fof(f12916,plain,
( spl5_571
| ~ spl5_230
| ~ spl5_251 ),
inference(avatar_split_clause,[],[f4829,f4784,f4421,f12914]) ).
fof(f12914,plain,
( spl5_571
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_571])]) ).
fof(f4829,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_251 ),
inference(resolution,[],[f4785,f4422]) ).
fof(f12912,plain,
( spl5_570
| ~ spl5_231
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f4809,f4780,f4425,f12910]) ).
fof(f12910,plain,
( spl5_570
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtpldt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_570])]) ).
fof(f4809,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xC,xD))) = sdtpldt0(smndt0(sdtasdt0(xC,xD)),X0)
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_250 ),
inference(resolution,[],[f4781,f4426]) ).
fof(f12908,plain,
( spl5_569
| ~ spl5_230
| ~ spl5_250 ),
inference(avatar_split_clause,[],[f4808,f4780,f4421,f12906]) ).
fof(f12906,plain,
( spl5_569
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtpldt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_569])]) ).
fof(f4808,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xE,xE))) = sdtpldt0(smndt0(sdtasdt0(xE,xE)),X0)
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_250 ),
inference(resolution,[],[f4781,f4422]) ).
fof(f12904,plain,
( spl5_568
| ~ spl5_87
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4613,f4425,f706,f12902]) ).
fof(f12902,plain,
( spl5_568
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_568])]) ).
fof(f4613,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xC,xD))) = sdtasdt0(smndt0(X0),sdtasdt0(xC,xD))
| ~ aScalar0(X0) )
| ~ spl5_87
| ~ spl5_231 ),
inference(resolution,[],[f4426,f707]) ).
fof(f12900,plain,
( spl5_567
| ~ spl5_85
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4612,f4425,f697,f12898]) ).
fof(f12898,plain,
( spl5_567
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_567])]) ).
fof(f4612,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(X0,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_85
| ~ spl5_231 ),
inference(resolution,[],[f4426,f698]) ).
fof(f12896,plain,
( spl5_566
| ~ spl5_13
| ~ spl5_163
| ~ spl5_558 ),
inference(avatar_split_clause,[],[f12814,f11300,f1538,f297,f12893]) ).
fof(f12893,plain,
( spl5_566
<=> sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_566])]) ).
fof(f12814,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_163
| ~ spl5_558 ),
inference(forward_demodulation,[],[f12789,f1540]) ).
fof(f12789,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(sdtasdt0(xA,sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_13
| ~ spl5_558 ),
inference(resolution,[],[f11301,f299]) ).
fof(f12891,plain,
( spl5_565
| ~ spl5_84
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4611,f4425,f693,f12889]) ).
fof(f4611,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_84
| ~ spl5_231 ),
inference(resolution,[],[f4426,f694]) ).
fof(f12887,plain,
( spl5_564
| ~ spl5_87
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4467,f4421,f706,f12885]) ).
fof(f12885,plain,
( spl5_564
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_564])]) ).
fof(f4467,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sdtasdt0(xE,xE))) = sdtasdt0(smndt0(X0),sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_87
| ~ spl5_230 ),
inference(resolution,[],[f4422,f707]) ).
fof(f12883,plain,
( spl5_563
| ~ spl5_85
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4466,f4421,f697,f12881]) ).
fof(f12881,plain,
( spl5_563
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_563])]) ).
fof(f4466,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(X0,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_85
| ~ spl5_230 ),
inference(resolution,[],[f4422,f698]) ).
fof(f12879,plain,
( spl5_562
| ~ spl5_84
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4465,f4421,f693,f12877]) ).
fof(f4465,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_84
| ~ spl5_230 ),
inference(resolution,[],[f4422,f694]) ).
fof(f12704,plain,
( spl5_561
| ~ spl5_66
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4900,f4765,f573,f12701]) ).
fof(f12701,plain,
( spl5_561
<=> sz0z00 = sdtpldt0(sdtasdt0(xE,xE),smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_561])]) ).
fof(f4900,plain,
( sz0z00 = sdtpldt0(sdtasdt0(xE,xE),smndt0(sdtasdt0(xE,xE)))
| ~ spl5_66
| ~ spl5_247 ),
inference(resolution,[],[f4767,f574]) ).
fof(f11361,plain,
( spl5_560
| ~ spl5_63
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f8300,f8100,f556,f11358]) ).
fof(f11358,plain,
( spl5_560
<=> sdtasdt0(xH,xH) = smndt0(smndt0(sdtasdt0(xH,xH))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_560])]) ).
fof(f8100,plain,
( spl5_357
<=> sP2(sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_357])]) ).
fof(f8300,plain,
( sdtasdt0(xH,xH) = smndt0(smndt0(sdtasdt0(xH,xH)))
| ~ spl5_63
| ~ spl5_357 ),
inference(resolution,[],[f8102,f557]) ).
fof(f8102,plain,
( sP2(sdtasdt0(xH,xH))
| ~ spl5_357 ),
inference(avatar_component_clause,[],[f8100]) ).
fof(f11306,plain,
( spl5_559
| ~ spl5_168
| ~ spl5_231
| ~ spl5_287
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f5931,f5748,f5689,f4425,f2027,f11304]) ).
fof(f5931,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_231
| ~ spl5_287
| ~ spl5_293 ),
inference(forward_demodulation,[],[f5930,f5691]) ).
fof(f5930,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_231
| ~ spl5_293 ),
inference(forward_demodulation,[],[f5911,f4646]) ).
fof(f5911,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xC,xD)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_231
| ~ spl5_293 ),
inference(resolution,[],[f5749,f4426]) ).
fof(f11302,plain,
( spl5_558
| ~ spl5_168
| ~ spl5_230
| ~ spl5_285
| ~ spl5_293 ),
inference(avatar_split_clause,[],[f5929,f5748,f5112,f4421,f2027,f11300]) ).
fof(f5929,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_230
| ~ spl5_285
| ~ spl5_293 ),
inference(forward_demodulation,[],[f5928,f5114]) ).
fof(f5928,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ aScalar0(X0) )
| ~ spl5_168
| ~ spl5_230
| ~ spl5_293 ),
inference(forward_demodulation,[],[f5910,f4500]) ).
fof(f5910,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_230
| ~ spl5_293 ),
inference(resolution,[],[f5749,f4422]) ).
fof(f11298,plain,
( spl5_557
| ~ spl5_162
| ~ spl5_220
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4723,f4425,f3350,f1534,f11295]) ).
fof(f11295,plain,
( spl5_557
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_557])]) ).
fof(f4723,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_162
| ~ spl5_220
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4684,f4644]) ).
fof(f4684,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xN)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xN)
| ~ spl5_220
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3351]) ).
fof(f11293,plain,
( spl5_556
| ~ spl5_161
| ~ spl5_219
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4722,f4425,f3346,f1530,f11290]) ).
fof(f11290,plain,
( spl5_556
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_556])]) ).
fof(f4722,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_161
| ~ spl5_219
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4683,f4643]) ).
fof(f4683,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xS)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xS)
| ~ spl5_219
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3347]) ).
fof(f11288,plain,
( spl5_555
| ~ spl5_160
| ~ spl5_218
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4721,f4425,f3342,f1526,f11285]) ).
fof(f11285,plain,
( spl5_555
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_555])]) ).
fof(f4721,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_160
| ~ spl5_218
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4682,f4642]) ).
fof(f4682,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xP)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xP)
| ~ spl5_218
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3343]) ).
fof(f11283,plain,
( spl5_554
| ~ spl5_159
| ~ spl5_217
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4720,f4425,f3338,f1522,f11280]) ).
fof(f11280,plain,
( spl5_554
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_554])]) ).
fof(f4720,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_159
| ~ spl5_217
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4681,f4641]) ).
fof(f4681,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xR)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xR)
| ~ spl5_217
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3339]) ).
fof(f11278,plain,
( spl5_553
| ~ spl5_158
| ~ spl5_216
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4719,f4425,f3334,f1518,f11275]) ).
fof(f11275,plain,
( spl5_553
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_553])]) ).
fof(f4719,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_158
| ~ spl5_216
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4680,f4640]) ).
fof(f4680,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xH)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xH)
| ~ spl5_216
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3335]) ).
fof(f11273,plain,
( spl5_552
| ~ spl5_157
| ~ spl5_215
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4718,f4425,f3330,f1514,f11270]) ).
fof(f11270,plain,
( spl5_552
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_552])]) ).
fof(f4718,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_157
| ~ spl5_215
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4679,f4639]) ).
fof(f4679,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xG)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xG)
| ~ spl5_215
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3331]) ).
fof(f11268,plain,
( spl5_551
| ~ spl5_60
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f8297,f8100,f544,f11265]) ).
fof(f11265,plain,
( spl5_551
<=> sdtasdt0(xH,xH) = sdtpldt0(sz0z00,sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_551])]) ).
fof(f8297,plain,
( sdtasdt0(xH,xH) = sdtpldt0(sz0z00,sdtasdt0(xH,xH))
| ~ spl5_60
| ~ spl5_357 ),
inference(resolution,[],[f8102,f545]) ).
fof(f11263,plain,
( spl5_550
| ~ spl5_156
| ~ spl5_214
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4717,f4425,f3326,f1510,f11260]) ).
fof(f11260,plain,
( spl5_550
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_550])]) ).
fof(f4717,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_156
| ~ spl5_214
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4678,f4638]) ).
fof(f4678,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xF)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xF)
| ~ spl5_214
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3327]) ).
fof(f11258,plain,
( spl5_549
| ~ spl5_155
| ~ spl5_212
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4716,f4425,f3317,f1506,f11255]) ).
fof(f11255,plain,
( spl5_549
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_549])]) ).
fof(f4716,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_155
| ~ spl5_212
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4677,f4637]) ).
fof(f4677,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xE)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xE)
| ~ spl5_212
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3318]) ).
fof(f11253,plain,
( spl5_548
| ~ spl5_154
| ~ spl5_211
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4715,f4425,f3313,f1502,f11250]) ).
fof(f11250,plain,
( spl5_548
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_548])]) ).
fof(f4715,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_154
| ~ spl5_211
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4676,f4636]) ).
fof(f4676,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xD)
| ~ spl5_211
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3314]) ).
fof(f11248,plain,
( spl5_547
| ~ spl5_153
| ~ spl5_210
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4714,f4425,f3309,f1498,f11245]) ).
fof(f11245,plain,
( spl5_547
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_547])]) ).
fof(f4714,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_153
| ~ spl5_210
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4675,f4635]) ).
fof(f4675,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xC)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xC)
| ~ spl5_210
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3310]) ).
fof(f11243,plain,
( spl5_546
| ~ spl5_151
| ~ spl5_209
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4713,f4425,f3305,f1489,f11240]) ).
fof(f11240,plain,
( spl5_546
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_546])]) ).
fof(f4713,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_151
| ~ spl5_209
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4674,f4634]) ).
fof(f4674,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xB)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xB)
| ~ spl5_209
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3306]) ).
fof(f11238,plain,
( spl5_545
| ~ spl5_150
| ~ spl5_208
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4712,f4425,f3301,f1485,f11235]) ).
fof(f11235,plain,
( spl5_545
<=> sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_545])]) ).
fof(f4712,plain,
( sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_150
| ~ spl5_208
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4673,f4633]) ).
fof(f4673,plain,
( smndt0(sdtasdt0(sdtasdt0(xC,xD),xA)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),xA)
| ~ spl5_208
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3302]) ).
fof(f11233,plain,
( spl5_544
| ~ spl5_162
| ~ spl5_207
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4711,f4425,f3297,f1534,f11230]) ).
fof(f11230,plain,
( spl5_544
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_544])]) ).
fof(f4711,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xC,xD)))
| ~ spl5_162
| ~ spl5_207
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4672,f4644]) ).
fof(f4672,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xN)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xN))
| ~ spl5_207
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3298]) ).
fof(f11228,plain,
( spl5_543
| ~ spl5_161
| ~ spl5_206
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4710,f4425,f3293,f1530,f11225]) ).
fof(f11225,plain,
( spl5_543
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_543])]) ).
fof(f4710,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xC,xD)))
| ~ spl5_161
| ~ spl5_206
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4671,f4643]) ).
fof(f4671,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xS)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xS))
| ~ spl5_206
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3294]) ).
fof(f11223,plain,
( spl5_542
| ~ spl5_160
| ~ spl5_205
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4709,f4425,f3289,f1526,f11220]) ).
fof(f11220,plain,
( spl5_542
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_542])]) ).
fof(f4709,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xC,xD)))
| ~ spl5_160
| ~ spl5_205
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4670,f4642]) ).
fof(f4670,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xP)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xP))
| ~ spl5_205
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3290]) ).
fof(f11218,plain,
( spl5_541
| ~ spl5_159
| ~ spl5_204
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4708,f4425,f3285,f1522,f11215]) ).
fof(f11215,plain,
( spl5_541
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_541])]) ).
fof(f4708,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xC,xD)))
| ~ spl5_159
| ~ spl5_204
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4669,f4641]) ).
fof(f4669,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xR)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xR))
| ~ spl5_204
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3286]) ).
fof(f11213,plain,
( spl5_540
| ~ spl5_59
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f8296,f8100,f540,f11210]) ).
fof(f11210,plain,
( spl5_540
<=> sdtasdt0(xH,xH) = sdtpldt0(sdtasdt0(xH,xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_540])]) ).
fof(f8296,plain,
( sdtasdt0(xH,xH) = sdtpldt0(sdtasdt0(xH,xH),sz0z00)
| ~ spl5_59
| ~ spl5_357 ),
inference(resolution,[],[f8102,f541]) ).
fof(f11208,plain,
( spl5_539
| ~ spl5_158
| ~ spl5_203
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4707,f4425,f3281,f1518,f11205]) ).
fof(f11205,plain,
( spl5_539
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_539])]) ).
fof(f4707,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xC,xD)))
| ~ spl5_158
| ~ spl5_203
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4668,f4640]) ).
fof(f4668,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xH)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xH))
| ~ spl5_203
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3282]) ).
fof(f11203,plain,
( spl5_538
| ~ spl5_157
| ~ spl5_201
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4706,f4425,f3272,f1514,f11200]) ).
fof(f11200,plain,
( spl5_538
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_538])]) ).
fof(f4706,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xC,xD)))
| ~ spl5_157
| ~ spl5_201
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4667,f4639]) ).
fof(f4667,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xG)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xG))
| ~ spl5_201
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3273]) ).
fof(f11198,plain,
( spl5_537
| ~ spl5_156
| ~ spl5_200
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4705,f4425,f3268,f1510,f11195]) ).
fof(f11195,plain,
( spl5_537
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_537])]) ).
fof(f4705,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xC,xD)))
| ~ spl5_156
| ~ spl5_200
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4666,f4638]) ).
fof(f4666,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xF)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xF))
| ~ spl5_200
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3269]) ).
fof(f11193,plain,
( spl5_536
| ~ spl5_155
| ~ spl5_199
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4704,f4425,f3264,f1506,f11190]) ).
fof(f11190,plain,
( spl5_536
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_536])]) ).
fof(f4704,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xC,xD)))
| ~ spl5_155
| ~ spl5_199
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4665,f4637]) ).
fof(f4665,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xE)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xE))
| ~ spl5_199
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3265]) ).
fof(f11188,plain,
( spl5_535
| ~ spl5_154
| ~ spl5_198
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4703,f4425,f3260,f1502,f11185]) ).
fof(f11185,plain,
( spl5_535
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_535])]) ).
fof(f4703,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xC,xD)))
| ~ spl5_154
| ~ spl5_198
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4664,f4636]) ).
fof(f4664,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xD)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xD))
| ~ spl5_198
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3261]) ).
fof(f11183,plain,
( spl5_534
| ~ spl5_153
| ~ spl5_197
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4702,f4425,f3256,f1498,f11180]) ).
fof(f11180,plain,
( spl5_534
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_534])]) ).
fof(f4702,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xC,xD)))
| ~ spl5_153
| ~ spl5_197
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4663,f4635]) ).
fof(f4663,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xC)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xC))
| ~ spl5_197
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3257]) ).
fof(f11178,plain,
( spl5_533
| ~ spl5_151
| ~ spl5_196
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4701,f4425,f3252,f1489,f11175]) ).
fof(f11175,plain,
( spl5_533
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_533])]) ).
fof(f4701,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xC,xD)))
| ~ spl5_151
| ~ spl5_196
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4662,f4634]) ).
fof(f4662,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xB)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xB))
| ~ spl5_196
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3253]) ).
fof(f11173,plain,
( spl5_532
| ~ spl5_150
| ~ spl5_195
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4700,f4425,f3248,f1485,f11170]) ).
fof(f11170,plain,
( spl5_532
<=> sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_532])]) ).
fof(f4700,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xC,xD)))
| ~ spl5_150
| ~ spl5_195
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4661,f4633]) ).
fof(f4661,plain,
( sdtasdt0(sdtasdt0(xC,xD),smndt0(xA)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),xA))
| ~ spl5_195
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3249]) ).
fof(f11168,plain,
( spl5_531
| ~ spl5_162
| ~ spl5_194
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4699,f4425,f3244,f1534,f11165]) ).
fof(f11165,plain,
( spl5_531
<=> sdtasdt0(xN,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_531])]) ).
fof(f4699,plain,
( sdtasdt0(xN,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN))
| ~ spl5_162
| ~ spl5_194
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4660,f4644]) ).
fof(f4660,plain,
( sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xN))
| ~ spl5_194
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3245]) ).
fof(f11163,plain,
( spl5_530
| ~ spl5_161
| ~ spl5_193
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4698,f4425,f3240,f1530,f11160]) ).
fof(f11160,plain,
( spl5_530
<=> sdtasdt0(xS,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_530])]) ).
fof(f4698,plain,
( sdtasdt0(xS,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS))
| ~ spl5_161
| ~ spl5_193
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4659,f4643]) ).
fof(f4659,plain,
( sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xS))
| ~ spl5_193
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3241]) ).
fof(f11158,plain,
( spl5_529
| ~ spl5_63
| ~ spl5_350 ),
inference(avatar_split_clause,[],[f8210,f8007,f556,f11155]) ).
fof(f11155,plain,
( spl5_529
<=> sdtpldt0(xP,xP) = smndt0(smndt0(sdtpldt0(xP,xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_529])]) ).
fof(f8007,plain,
( spl5_350
<=> sP2(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_350])]) ).
fof(f8210,plain,
( sdtpldt0(xP,xP) = smndt0(smndt0(sdtpldt0(xP,xP)))
| ~ spl5_63
| ~ spl5_350 ),
inference(resolution,[],[f8009,f557]) ).
fof(f8009,plain,
( sP2(sdtpldt0(xP,xP))
| ~ spl5_350 ),
inference(avatar_component_clause,[],[f8007]) ).
fof(f11153,plain,
( spl5_528
| ~ spl5_160
| ~ spl5_192
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4697,f4425,f3236,f1526,f11150]) ).
fof(f11150,plain,
( spl5_528
<=> sdtasdt0(xP,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_528])]) ).
fof(f4697,plain,
( sdtasdt0(xP,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP))
| ~ spl5_160
| ~ spl5_192
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4658,f4642]) ).
fof(f4658,plain,
( sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xP))
| ~ spl5_192
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3237]) ).
fof(f11148,plain,
( spl5_527
| ~ spl5_159
| ~ spl5_190
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4696,f4425,f3227,f1522,f11145]) ).
fof(f11145,plain,
( spl5_527
<=> sdtasdt0(xR,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_527])]) ).
fof(f4696,plain,
( sdtasdt0(xR,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR))
| ~ spl5_159
| ~ spl5_190
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4657,f4641]) ).
fof(f4657,plain,
( sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xR))
| ~ spl5_190
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3228]) ).
fof(f11143,plain,
( spl5_526
| ~ spl5_158
| ~ spl5_189
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4695,f4425,f3223,f1518,f11140]) ).
fof(f11140,plain,
( spl5_526
<=> sdtasdt0(xH,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_526])]) ).
fof(f4695,plain,
( sdtasdt0(xH,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH))
| ~ spl5_158
| ~ spl5_189
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4656,f4640]) ).
fof(f4656,plain,
( sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xH))
| ~ spl5_189
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3224]) ).
fof(f11138,plain,
( spl5_525
| ~ spl5_157
| ~ spl5_188
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4694,f4425,f3219,f1514,f11135]) ).
fof(f11135,plain,
( spl5_525
<=> sdtasdt0(xG,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_525])]) ).
fof(f4694,plain,
( sdtasdt0(xG,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG))
| ~ spl5_157
| ~ spl5_188
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4655,f4639]) ).
fof(f4655,plain,
( sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xG))
| ~ spl5_188
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3220]) ).
fof(f11133,plain,
( spl5_524
| ~ spl5_156
| ~ spl5_187
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4693,f4425,f3215,f1510,f11130]) ).
fof(f11130,plain,
( spl5_524
<=> sdtasdt0(xF,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_524])]) ).
fof(f4693,plain,
( sdtasdt0(xF,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF))
| ~ spl5_156
| ~ spl5_187
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4654,f4638]) ).
fof(f4654,plain,
( sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xF))
| ~ spl5_187
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3216]) ).
fof(f11128,plain,
( spl5_523
| ~ spl5_155
| ~ spl5_186
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4692,f4425,f3211,f1506,f11125]) ).
fof(f11125,plain,
( spl5_523
<=> sdtasdt0(xE,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_523])]) ).
fof(f4692,plain,
( sdtasdt0(xE,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE))
| ~ spl5_155
| ~ spl5_186
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4653,f4637]) ).
fof(f4653,plain,
( sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xE))
| ~ spl5_186
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3212]) ).
fof(f11123,plain,
( spl5_522
| ~ spl5_154
| ~ spl5_185
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4691,f4425,f3207,f1502,f11120]) ).
fof(f11120,plain,
( spl5_522
<=> sdtasdt0(xD,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_522])]) ).
fof(f4691,plain,
( sdtasdt0(xD,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD))
| ~ spl5_154
| ~ spl5_185
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4652,f4636]) ).
fof(f4652,plain,
( sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xD))
| ~ spl5_185
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3208]) ).
fof(f11118,plain,
( spl5_521
| ~ spl5_153
| ~ spl5_184
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4690,f4425,f3203,f1498,f11115]) ).
fof(f11115,plain,
( spl5_521
<=> sdtasdt0(xC,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_521])]) ).
fof(f4690,plain,
( sdtasdt0(xC,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC))
| ~ spl5_153
| ~ spl5_184
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4651,f4635]) ).
fof(f4651,plain,
( sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xC))
| ~ spl5_184
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3204]) ).
fof(f11113,plain,
( spl5_520
| ~ spl5_151
| ~ spl5_183
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4689,f4425,f3199,f1489,f11110]) ).
fof(f11110,plain,
( spl5_520
<=> sdtasdt0(xB,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_520])]) ).
fof(f4689,plain,
( sdtasdt0(xB,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB))
| ~ spl5_151
| ~ spl5_183
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4650,f4634]) ).
fof(f4650,plain,
( sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xB))
| ~ spl5_183
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3200]) ).
fof(f11108,plain,
( spl5_519
| ~ spl5_150
| ~ spl5_182
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4688,f4425,f3195,f1485,f11105]) ).
fof(f11105,plain,
( spl5_519
<=> sdtasdt0(xA,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_519])]) ).
fof(f4688,plain,
( sdtasdt0(xA,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA))
| ~ spl5_150
| ~ spl5_182
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4649,f4633]) ).
fof(f4649,plain,
( sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(xA))
| ~ spl5_182
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3196]) ).
fof(f11103,plain,
( spl5_518
| ~ spl5_60
| ~ spl5_350 ),
inference(avatar_split_clause,[],[f8207,f8007,f544,f11100]) ).
fof(f11100,plain,
( spl5_518
<=> sdtpldt0(xP,xP) = sdtpldt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_518])]) ).
fof(f8207,plain,
( sdtpldt0(xP,xP) = sdtpldt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_60
| ~ spl5_350 ),
inference(resolution,[],[f8009,f545]) ).
fof(f11098,plain,
( spl5_517
| ~ spl5_92
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4615,f4425,f805,f11096]) ).
fof(f11096,plain,
( spl5_517
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(sdtasdt0(xC,xD),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_517])]) ).
fof(f4615,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xC,xD)) = sdtasdt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_92
| ~ spl5_231 ),
inference(resolution,[],[f4426,f806]) ).
fof(f11094,plain,
( spl5_516
| ~ spl5_90
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4614,f4425,f717,f11092]) ).
fof(f4614,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xC,xD)) = sdtpldt0(sdtasdt0(xC,xD),X0) )
| ~ spl5_90
| ~ spl5_231 ),
inference(resolution,[],[f4426,f718]) ).
fof(f11090,plain,
( spl5_515
| ~ spl5_162
| ~ spl5_220
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4577,f4421,f3350,f1534,f11087]) ).
fof(f11087,plain,
( spl5_515
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_515])]) ).
fof(f4577,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_162
| ~ spl5_220
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4538,f4498]) ).
fof(f4538,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xN)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xN)
| ~ spl5_220
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3351]) ).
fof(f11085,plain,
( spl5_514
| ~ spl5_161
| ~ spl5_219
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4576,f4421,f3346,f1530,f11082]) ).
fof(f11082,plain,
( spl5_514
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_514])]) ).
fof(f4576,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_161
| ~ spl5_219
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4537,f4497]) ).
fof(f4537,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xS)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xS)
| ~ spl5_219
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3347]) ).
fof(f11080,plain,
( spl5_513
| ~ spl5_160
| ~ spl5_218
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4575,f4421,f3342,f1526,f11077]) ).
fof(f11077,plain,
( spl5_513
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_513])]) ).
fof(f4575,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_160
| ~ spl5_218
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4536,f4496]) ).
fof(f4536,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xP)
| ~ spl5_218
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3343]) ).
fof(f11075,plain,
( spl5_512
| ~ spl5_159
| ~ spl5_217
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4574,f4421,f3338,f1522,f11072]) ).
fof(f11072,plain,
( spl5_512
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_512])]) ).
fof(f4574,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_159
| ~ spl5_217
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4535,f4495]) ).
fof(f4535,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xR)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xR)
| ~ spl5_217
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3339]) ).
fof(f11070,plain,
( spl5_511
| ~ spl5_158
| ~ spl5_216
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4573,f4421,f3334,f1518,f11067]) ).
fof(f11067,plain,
( spl5_511
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_511])]) ).
fof(f4573,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_158
| ~ spl5_216
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4534,f4494]) ).
fof(f4534,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xH)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xH)
| ~ spl5_216
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3335]) ).
fof(f11065,plain,
( spl5_510
| ~ spl5_157
| ~ spl5_215
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4572,f4421,f3330,f1514,f11062]) ).
fof(f11062,plain,
( spl5_510
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_510])]) ).
fof(f4572,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_157
| ~ spl5_215
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4533,f4493]) ).
fof(f4533,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xG)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xG)
| ~ spl5_215
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3331]) ).
fof(f11060,plain,
( spl5_509
| ~ spl5_156
| ~ spl5_214
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4571,f4421,f3326,f1510,f11057]) ).
fof(f11057,plain,
( spl5_509
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_509])]) ).
fof(f4571,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_156
| ~ spl5_214
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4532,f4492]) ).
fof(f4532,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xF)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xF)
| ~ spl5_214
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3327]) ).
fof(f11055,plain,
( spl5_508
| ~ spl5_155
| ~ spl5_212
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4570,f4421,f3317,f1506,f11052]) ).
fof(f11052,plain,
( spl5_508
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_508])]) ).
fof(f4570,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_155
| ~ spl5_212
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4531,f4491]) ).
fof(f4531,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xE)
| ~ spl5_212
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3318]) ).
fof(f11050,plain,
( spl5_507
| ~ spl5_59
| ~ spl5_350 ),
inference(avatar_split_clause,[],[f8206,f8007,f540,f11047]) ).
fof(f11047,plain,
( spl5_507
<=> sdtpldt0(xP,xP) = sdtpldt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_507])]) ).
fof(f8206,plain,
( sdtpldt0(xP,xP) = sdtpldt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_59
| ~ spl5_350 ),
inference(resolution,[],[f8009,f541]) ).
fof(f11045,plain,
( spl5_506
| ~ spl5_154
| ~ spl5_211
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4569,f4421,f3313,f1502,f11042]) ).
fof(f11042,plain,
( spl5_506
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_506])]) ).
fof(f4569,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_154
| ~ spl5_211
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4530,f4490]) ).
fof(f4530,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xD)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xD)
| ~ spl5_211
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3314]) ).
fof(f11040,plain,
( spl5_505
| ~ spl5_153
| ~ spl5_210
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4568,f4421,f3309,f1498,f11037]) ).
fof(f11037,plain,
( spl5_505
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_505])]) ).
fof(f4568,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_153
| ~ spl5_210
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4529,f4489]) ).
fof(f4529,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xC)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xC)
| ~ spl5_210
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3310]) ).
fof(f11035,plain,
( spl5_504
| ~ spl5_151
| ~ spl5_209
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4567,f4421,f3305,f1489,f11032]) ).
fof(f11032,plain,
( spl5_504
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_504])]) ).
fof(f4567,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_151
| ~ spl5_209
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4528,f4488]) ).
fof(f4528,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xB)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xB)
| ~ spl5_209
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3306]) ).
fof(f11030,plain,
( spl5_503
| ~ spl5_150
| ~ spl5_208
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4566,f4421,f3301,f1485,f11027]) ).
fof(f11027,plain,
( spl5_503
<=> sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_503])]) ).
fof(f4566,plain,
( sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_150
| ~ spl5_208
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4527,f4487]) ).
fof(f4527,plain,
( smndt0(sdtasdt0(sdtasdt0(xE,xE),xA)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),xA)
| ~ spl5_208
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3302]) ).
fof(f11025,plain,
( spl5_502
| ~ spl5_162
| ~ spl5_207
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4565,f4421,f3297,f1534,f11022]) ).
fof(f11022,plain,
( spl5_502
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_502])]) ).
fof(f4565,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xE,xE)))
| ~ spl5_162
| ~ spl5_207
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4526,f4498]) ).
fof(f4526,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xN)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xN))
| ~ spl5_207
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3298]) ).
fof(f11020,plain,
( spl5_501
| ~ spl5_161
| ~ spl5_206
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4564,f4421,f3293,f1530,f11017]) ).
fof(f11017,plain,
( spl5_501
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_501])]) ).
fof(f4564,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xE,xE)))
| ~ spl5_161
| ~ spl5_206
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4525,f4497]) ).
fof(f4525,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xS)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xS))
| ~ spl5_206
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3294]) ).
fof(f11015,plain,
( spl5_500
| ~ spl5_160
| ~ spl5_205
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4563,f4421,f3289,f1526,f11012]) ).
fof(f11012,plain,
( spl5_500
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_500])]) ).
fof(f4563,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(xP,sdtasdt0(xE,xE)))
| ~ spl5_160
| ~ spl5_205
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4524,f4496]) ).
fof(f4524,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xP)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xP))
| ~ spl5_205
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3290]) ).
fof(f11010,plain,
( spl5_499
| ~ spl5_159
| ~ spl5_204
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4562,f4421,f3285,f1522,f11007]) ).
fof(f11007,plain,
( spl5_499
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_499])]) ).
fof(f4562,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xE,xE)))
| ~ spl5_159
| ~ spl5_204
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4523,f4495]) ).
fof(f4523,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xR)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xR))
| ~ spl5_204
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3286]) ).
fof(f11005,plain,
( spl5_498
| ~ spl5_158
| ~ spl5_203
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4561,f4421,f3281,f1518,f11002]) ).
fof(f11002,plain,
( spl5_498
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_498])]) ).
fof(f4561,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(xH,sdtasdt0(xE,xE)))
| ~ spl5_158
| ~ spl5_203
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4522,f4494]) ).
fof(f4522,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xH)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xH))
| ~ spl5_203
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3282]) ).
fof(f11000,plain,
( spl5_497
| ~ spl5_157
| ~ spl5_201
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4560,f4421,f3272,f1514,f10997]) ).
fof(f10997,plain,
( spl5_497
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_497])]) ).
fof(f4560,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(xG,sdtasdt0(xE,xE)))
| ~ spl5_157
| ~ spl5_201
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4521,f4493]) ).
fof(f4521,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xG)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xG))
| ~ spl5_201
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3273]) ).
fof(f10993,plain,
( spl5_496
| ~ spl5_156
| ~ spl5_200
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4559,f4421,f3268,f1510,f10990]) ).
fof(f10990,plain,
( spl5_496
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_496])]) ).
fof(f4559,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(xF,sdtasdt0(xE,xE)))
| ~ spl5_156
| ~ spl5_200
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4520,f4492]) ).
fof(f4520,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xF)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xF))
| ~ spl5_200
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3269]) ).
fof(f10988,plain,
( spl5_495
| ~ spl5_155
| ~ spl5_199
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4558,f4421,f3264,f1506,f10985]) ).
fof(f10985,plain,
( spl5_495
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_495])]) ).
fof(f4558,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(xE,sdtasdt0(xE,xE)))
| ~ spl5_155
| ~ spl5_199
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4519,f4491]) ).
fof(f4519,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xE)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xE))
| ~ spl5_199
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3265]) ).
fof(f10983,plain,
( spl5_494
| ~ spl5_154
| ~ spl5_198
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4557,f4421,f3260,f1502,f10980]) ).
fof(f10980,plain,
( spl5_494
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_494])]) ).
fof(f4557,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(xD,sdtasdt0(xE,xE)))
| ~ spl5_154
| ~ spl5_198
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4518,f4490]) ).
fof(f4518,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xD)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xD))
| ~ spl5_198
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3261]) ).
fof(f10978,plain,
( spl5_493
| ~ spl5_153
| ~ spl5_197
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4556,f4421,f3256,f1498,f10975]) ).
fof(f10975,plain,
( spl5_493
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_493])]) ).
fof(f4556,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(xC,sdtasdt0(xE,xE)))
| ~ spl5_153
| ~ spl5_197
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4517,f4489]) ).
fof(f4517,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xC)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xC))
| ~ spl5_197
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3257]) ).
fof(f10973,plain,
( spl5_492
| ~ spl5_151
| ~ spl5_196
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4555,f4421,f3252,f1489,f10970]) ).
fof(f10970,plain,
( spl5_492
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_492])]) ).
fof(f4555,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(xB,sdtasdt0(xE,xE)))
| ~ spl5_151
| ~ spl5_196
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4516,f4488]) ).
fof(f4516,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xB)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xB))
| ~ spl5_196
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3253]) ).
fof(f10968,plain,
( spl5_491
| ~ spl5_150
| ~ spl5_195
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4554,f4421,f3248,f1485,f10965]) ).
fof(f10965,plain,
( spl5_491
<=> sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_491])]) ).
fof(f4554,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(xA,sdtasdt0(xE,xE)))
| ~ spl5_150
| ~ spl5_195
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4515,f4487]) ).
fof(f4515,plain,
( sdtasdt0(sdtasdt0(xE,xE),smndt0(xA)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),xA))
| ~ spl5_195
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3249]) ).
fof(f10963,plain,
( spl5_490
| ~ spl5_162
| ~ spl5_194
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4553,f4421,f3244,f1534,f10960]) ).
fof(f10960,plain,
( spl5_490
<=> sdtasdt0(xN,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_490])]) ).
fof(f4553,plain,
( sdtasdt0(xN,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN))
| ~ spl5_162
| ~ spl5_194
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4514,f4498]) ).
fof(f4514,plain,
( sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xN))
| ~ spl5_194
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3245]) ).
fof(f10958,plain,
( spl5_489
| ~ spl5_161
| ~ spl5_193
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4552,f4421,f3240,f1530,f10955]) ).
fof(f10955,plain,
( spl5_489
<=> sdtasdt0(xS,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_489])]) ).
fof(f4552,plain,
( sdtasdt0(xS,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS))
| ~ spl5_161
| ~ spl5_193
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4513,f4497]) ).
fof(f4513,plain,
( sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xS))
| ~ spl5_193
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3241]) ).
fof(f10953,plain,
( spl5_488
| ~ spl5_160
| ~ spl5_192
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4551,f4421,f3236,f1526,f10950]) ).
fof(f10950,plain,
( spl5_488
<=> sdtasdt0(xP,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_488])]) ).
fof(f4551,plain,
( sdtasdt0(xP,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP))
| ~ spl5_160
| ~ spl5_192
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4512,f4496]) ).
fof(f4512,plain,
( sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xP))
| ~ spl5_192
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3237]) ).
fof(f10948,plain,
( spl5_487
| ~ spl5_159
| ~ spl5_190
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4550,f4421,f3227,f1522,f10945]) ).
fof(f10945,plain,
( spl5_487
<=> sdtasdt0(xR,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_487])]) ).
fof(f4550,plain,
( sdtasdt0(xR,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR))
| ~ spl5_159
| ~ spl5_190
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4511,f4495]) ).
fof(f4511,plain,
( sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xR))
| ~ spl5_190
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3228]) ).
fof(f10928,plain,
( spl5_486
| ~ spl5_158
| ~ spl5_189
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4549,f4421,f3223,f1518,f10925]) ).
fof(f10925,plain,
( spl5_486
<=> sdtasdt0(xH,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_486])]) ).
fof(f4549,plain,
( sdtasdt0(xH,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH))
| ~ spl5_158
| ~ spl5_189
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4510,f4494]) ).
fof(f4510,plain,
( sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xH))
| ~ spl5_189
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3224]) ).
fof(f10923,plain,
( spl5_485
| ~ spl5_157
| ~ spl5_188
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4548,f4421,f3219,f1514,f10920]) ).
fof(f10920,plain,
( spl5_485
<=> sdtasdt0(xG,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_485])]) ).
fof(f4548,plain,
( sdtasdt0(xG,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG))
| ~ spl5_157
| ~ spl5_188
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4509,f4493]) ).
fof(f4509,plain,
( sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xG))
| ~ spl5_188
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3220]) ).
fof(f10918,plain,
( spl5_484
| ~ spl5_156
| ~ spl5_187
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4547,f4421,f3215,f1510,f10915]) ).
fof(f10915,plain,
( spl5_484
<=> sdtasdt0(xF,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_484])]) ).
fof(f4547,plain,
( sdtasdt0(xF,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF))
| ~ spl5_156
| ~ spl5_187
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4508,f4492]) ).
fof(f4508,plain,
( sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xF))
| ~ spl5_187
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3216]) ).
fof(f10913,plain,
( spl5_483
| ~ spl5_155
| ~ spl5_186
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4546,f4421,f3211,f1506,f10910]) ).
fof(f10910,plain,
( spl5_483
<=> sdtasdt0(xE,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_483])]) ).
fof(f4546,plain,
( sdtasdt0(xE,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE))
| ~ spl5_155
| ~ spl5_186
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4507,f4491]) ).
fof(f4507,plain,
( sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xE))
| ~ spl5_186
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3212]) ).
fof(f10908,plain,
( spl5_482
| ~ spl5_154
| ~ spl5_185
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4545,f4421,f3207,f1502,f10905]) ).
fof(f10905,plain,
( spl5_482
<=> sdtasdt0(xD,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_482])]) ).
fof(f4545,plain,
( sdtasdt0(xD,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD))
| ~ spl5_154
| ~ spl5_185
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4506,f4490]) ).
fof(f4506,plain,
( sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xD))
| ~ spl5_185
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3208]) ).
fof(f10903,plain,
( spl5_481
| ~ spl5_153
| ~ spl5_184
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4544,f4421,f3203,f1498,f10900]) ).
fof(f10900,plain,
( spl5_481
<=> sdtasdt0(xC,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_481])]) ).
fof(f4544,plain,
( sdtasdt0(xC,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC))
| ~ spl5_153
| ~ spl5_184
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4505,f4489]) ).
fof(f4505,plain,
( sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xC))
| ~ spl5_184
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3204]) ).
fof(f10898,plain,
( spl5_480
| ~ spl5_151
| ~ spl5_183
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4543,f4421,f3199,f1489,f10895]) ).
fof(f10895,plain,
( spl5_480
<=> sdtasdt0(xB,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_480])]) ).
fof(f4543,plain,
( sdtasdt0(xB,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB))
| ~ spl5_151
| ~ spl5_183
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4504,f4488]) ).
fof(f4504,plain,
( sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xB))
| ~ spl5_183
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3200]) ).
fof(f10893,plain,
( spl5_479
| ~ spl5_150
| ~ spl5_182
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4542,f4421,f3195,f1485,f10890]) ).
fof(f10890,plain,
( spl5_479
<=> sdtasdt0(xA,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_479])]) ).
fof(f4542,plain,
( sdtasdt0(xA,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA))
| ~ spl5_150
| ~ spl5_182
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4503,f4487]) ).
fof(f4503,plain,
( sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(xA))
| ~ spl5_182
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3196]) ).
fof(f10888,plain,
( spl5_478
| ~ spl5_92
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4469,f4421,f805,f10886]) ).
fof(f10886,plain,
( spl5_478
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_478])]) ).
fof(f4469,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),X0) )
| ~ spl5_92
| ~ spl5_230 ),
inference(resolution,[],[f4422,f806]) ).
fof(f10884,plain,
( spl5_477
| ~ spl5_90
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4468,f4421,f717,f10882]) ).
fof(f10882,plain,
( spl5_477
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(xE,xE),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_477])]) ).
fof(f4468,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xE,xE)) = sdtpldt0(sdtasdt0(xE,xE),X0) )
| ~ spl5_90
| ~ spl5_230 ),
inference(resolution,[],[f4422,f718]) ).
fof(f10858,plain,
( spl5_476
| ~ spl5_22
| ~ spl5_236 ),
inference(avatar_split_clause,[],[f10539,f4455,f342,f10855]) ).
fof(f10855,plain,
( spl5_476
<=> sP2(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_476])]) ).
fof(f4455,plain,
( spl5_236
<=> aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_236])]) ).
fof(f10539,plain,
( sP2(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_22
| ~ spl5_236 ),
inference(resolution,[],[f4456,f343]) ).
fof(f4456,plain,
( aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| ~ spl5_236 ),
inference(avatar_component_clause,[],[f4455]) ).
fof(f10852,plain,
( spl5_475
| ~ spl5_168
| ~ spl5_176
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4687,f4425,f3109,f2027,f10849]) ).
fof(f10849,plain,
( spl5_475
<=> sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_475])]) ).
fof(f4687,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD)))
| ~ spl5_168
| ~ spl5_176
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4648,f4646]) ).
fof(f4648,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = smndt0(sdtasdt0(sdtasdt0(xC,xD),sz0z00))
| ~ spl5_176
| ~ spl5_231 ),
inference(resolution,[],[f4426,f3110]) ).
fof(f10825,plain,
( spl5_474
| ~ spl5_287
| ~ spl5_473 ),
inference(avatar_split_clause,[],[f10820,f10816,f5689,f10822]) ).
fof(f10822,plain,
( spl5_474
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_474])]) ).
fof(f10816,plain,
( spl5_473
<=> sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_473])]) ).
fof(f10820,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_287
| ~ spl5_473 ),
inference(forward_demodulation,[],[f10818,f5691]) ).
fof(f10818,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_473 ),
inference(avatar_component_clause,[],[f10816]) ).
fof(f10819,plain,
( spl5_473
| ~ spl5_168
| ~ spl5_170
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4686,f4425,f2103,f2027,f10816]) ).
fof(f4686,plain,
( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_168
| ~ spl5_170
| ~ spl5_231 ),
inference(forward_demodulation,[],[f4647,f4646]) ).
fof(f4647,plain,
( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00)
| ~ spl5_170
| ~ spl5_231 ),
inference(resolution,[],[f4426,f2104]) ).
fof(f10538,plain,
( ~ spl5_230
| ~ spl5_232
| ~ spl5_71
| spl5_236 ),
inference(avatar_split_clause,[],[f4581,f4455,f594,f4429,f4421]) ).
fof(f4581,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ spl5_71
| spl5_236 ),
inference(resolution,[],[f4457,f595]) ).
fof(f4457,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))))
| spl5_236 ),
inference(avatar_component_clause,[],[f4455]) ).
fof(f10536,plain,
( spl5_472
| ~ spl5_168
| ~ spl5_176
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4541,f4421,f3109,f2027,f10533]) ).
fof(f10533,plain,
( spl5_472
<=> sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_472])]) ).
fof(f4541,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE)))
| ~ spl5_168
| ~ spl5_176
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4502,f4500]) ).
fof(f4502,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = smndt0(sdtasdt0(sdtasdt0(xE,xE),sz0z00))
| ~ spl5_176
| ~ spl5_230 ),
inference(resolution,[],[f4422,f3110]) ).
fof(f10509,plain,
( spl5_471
| ~ spl5_285
| ~ spl5_470 ),
inference(avatar_split_clause,[],[f10504,f10500,f5112,f10506]) ).
fof(f10506,plain,
( spl5_471
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_471])]) ).
fof(f10500,plain,
( spl5_470
<=> sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_470])]) ).
fof(f10504,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_285
| ~ spl5_470 ),
inference(forward_demodulation,[],[f10502,f5114]) ).
fof(f10502,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_470 ),
inference(avatar_component_clause,[],[f10500]) ).
fof(f10503,plain,
( spl5_470
| ~ spl5_168
| ~ spl5_170
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4540,f4421,f2103,f2027,f10500]) ).
fof(f4540,plain,
( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_168
| ~ spl5_170
| ~ spl5_230 ),
inference(forward_demodulation,[],[f4501,f4500]) ).
fof(f4501,plain,
( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00)
| ~ spl5_170
| ~ spl5_230 ),
inference(resolution,[],[f4422,f2104]) ).
fof(f9884,plain,
( spl5_469
| ~ spl5_63
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f4945,f4852,f556,f9881]) ).
fof(f9881,plain,
( spl5_469
<=> sdtasdt0(xC,xD) = smndt0(smndt0(sdtasdt0(xC,xD))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_469])]) ).
fof(f9788,plain,
( spl5_468
| ~ spl5_168
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4646,f4425,f2027,f9785]) ).
fof(f9785,plain,
( spl5_468
<=> sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_468])]) ).
fof(f9783,plain,
( spl5_467
| ~ spl5_60
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f4942,f4852,f544,f9780]) ).
fof(f9780,plain,
( spl5_467
<=> sdtasdt0(xC,xD) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_467])]) ).
fof(f9777,plain,
( spl5_466
| ~ spl5_167
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4645,f4425,f2023,f9774]) ).
fof(f9774,plain,
( spl5_466
<=> sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_466])]) ).
fof(f9772,plain,
( spl5_465
| ~ spl5_162
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4644,f4425,f1534,f9769]) ).
fof(f9769,plain,
( spl5_465
<=> sdtasdt0(sdtasdt0(xC,xD),xN) = sdtasdt0(xN,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_465])]) ).
fof(f9767,plain,
( spl5_464
| ~ spl5_161
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4643,f4425,f1530,f9764]) ).
fof(f9764,plain,
( spl5_464
<=> sdtasdt0(sdtasdt0(xC,xD),xS) = sdtasdt0(xS,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_464])]) ).
fof(f9762,plain,
( spl5_463
| ~ spl5_160
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4642,f4425,f1526,f9759]) ).
fof(f9759,plain,
( spl5_463
<=> sdtasdt0(sdtasdt0(xC,xD),xP) = sdtasdt0(xP,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_463])]) ).
fof(f9757,plain,
( spl5_462
| ~ spl5_159
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4641,f4425,f1522,f9754]) ).
fof(f9754,plain,
( spl5_462
<=> sdtasdt0(sdtasdt0(xC,xD),xR) = sdtasdt0(xR,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_462])]) ).
fof(f9752,plain,
( spl5_461
| ~ spl5_158
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4640,f4425,f1518,f9749]) ).
fof(f9749,plain,
( spl5_461
<=> sdtasdt0(sdtasdt0(xC,xD),xH) = sdtasdt0(xH,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_461])]) ).
fof(f9747,plain,
( spl5_460
| ~ spl5_157
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4639,f4425,f1514,f9744]) ).
fof(f9744,plain,
( spl5_460
<=> sdtasdt0(sdtasdt0(xC,xD),xG) = sdtasdt0(xG,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_460])]) ).
fof(f9742,plain,
( spl5_459
| ~ spl5_156
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4638,f4425,f1510,f9739]) ).
fof(f9739,plain,
( spl5_459
<=> sdtasdt0(sdtasdt0(xC,xD),xF) = sdtasdt0(xF,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_459])]) ).
fof(f9737,plain,
( spl5_458
| ~ spl5_155
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4637,f4425,f1506,f9734]) ).
fof(f9734,plain,
( spl5_458
<=> sdtasdt0(sdtasdt0(xC,xD),xE) = sdtasdt0(xE,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_458])]) ).
fof(f9732,plain,
( spl5_457
| ~ spl5_154
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4636,f4425,f1502,f9729]) ).
fof(f9729,plain,
( spl5_457
<=> sdtasdt0(sdtasdt0(xC,xD),xD) = sdtasdt0(xD,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_457])]) ).
fof(f9727,plain,
( spl5_456
| ~ spl5_59
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f4941,f4852,f540,f9724]) ).
fof(f9724,plain,
( spl5_456
<=> sdtasdt0(xC,xD) = sdtpldt0(sdtasdt0(xC,xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_456])]) ).
fof(f4941,plain,
( sdtasdt0(xC,xD) = sdtpldt0(sdtasdt0(xC,xD),sz0z00)
| ~ spl5_59
| ~ spl5_253 ),
inference(resolution,[],[f4854,f541]) ).
fof(f9722,plain,
( spl5_455
| ~ spl5_153
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4635,f4425,f1498,f9719]) ).
fof(f9719,plain,
( spl5_455
<=> sdtasdt0(sdtasdt0(xC,xD),xC) = sdtasdt0(xC,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_455])]) ).
fof(f9717,plain,
( spl5_454
| ~ spl5_151
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4634,f4425,f1489,f9714]) ).
fof(f9714,plain,
( spl5_454
<=> sdtasdt0(sdtasdt0(xC,xD),xB) = sdtasdt0(xB,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_454])]) ).
fof(f9712,plain,
( spl5_453
| ~ spl5_150
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4633,f4425,f1485,f9709]) ).
fof(f9709,plain,
( spl5_453
<=> sdtasdt0(sdtasdt0(xC,xD),xA) = sdtasdt0(xA,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_453])]) ).
fof(f9707,plain,
( spl5_452
| ~ spl5_149
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4632,f4425,f1481,f9704]) ).
fof(f9704,plain,
( spl5_452
<=> sdtpldt0(sdtasdt0(xC,xD),xN) = sdtpldt0(xN,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_452])]) ).
fof(f9702,plain,
( spl5_451
| ~ spl5_148
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4631,f4425,f1477,f9699]) ).
fof(f9699,plain,
( spl5_451
<=> sdtpldt0(sdtasdt0(xC,xD),xS) = sdtpldt0(xS,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_451])]) ).
fof(f9697,plain,
( spl5_450
| ~ spl5_147
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4630,f4425,f1473,f9694]) ).
fof(f9694,plain,
( spl5_450
<=> sdtpldt0(sdtasdt0(xC,xD),xP) = sdtpldt0(xP,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_450])]) ).
fof(f9692,plain,
( spl5_449
| ~ spl5_146
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4629,f4425,f1469,f9689]) ).
fof(f9689,plain,
( spl5_449
<=> sdtpldt0(sdtasdt0(xC,xD),xR) = sdtpldt0(xR,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_449])]) ).
fof(f9687,plain,
( spl5_448
| ~ spl5_145
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4628,f4425,f1465,f9684]) ).
fof(f9684,plain,
( spl5_448
<=> sdtpldt0(sdtasdt0(xC,xD),xH) = sdtpldt0(xH,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_448])]) ).
fof(f9682,plain,
( spl5_447
| ~ spl5_144
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4627,f4425,f1461,f9679]) ).
fof(f9679,plain,
( spl5_447
<=> sdtpldt0(sdtasdt0(xC,xD),xG) = sdtpldt0(xG,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_447])]) ).
fof(f9677,plain,
( spl5_446
| ~ spl5_143
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4626,f4425,f1453,f9674]) ).
fof(f9674,plain,
( spl5_446
<=> sdtpldt0(sdtasdt0(xC,xD),xF) = sdtpldt0(xF,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_446])]) ).
fof(f9672,plain,
( spl5_445
| ~ spl5_63
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4899,f4765,f556,f9669]) ).
fof(f9669,plain,
( spl5_445
<=> sdtasdt0(xE,xE) = smndt0(smndt0(sdtasdt0(xE,xE))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_445])]) ).
fof(f9667,plain,
( spl5_444
| ~ spl5_142
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4625,f4425,f1449,f9664]) ).
fof(f9664,plain,
( spl5_444
<=> sdtpldt0(sdtasdt0(xC,xD),xE) = sdtpldt0(xE,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_444])]) ).
fof(f9662,plain,
( spl5_443
| ~ spl5_141
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4624,f4425,f1445,f9659]) ).
fof(f9659,plain,
( spl5_443
<=> sdtpldt0(sdtasdt0(xC,xD),xD) = sdtpldt0(xD,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_443])]) ).
fof(f9657,plain,
( spl5_442
| ~ spl5_140
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4623,f4425,f1441,f9654]) ).
fof(f9654,plain,
( spl5_442
<=> sdtpldt0(sdtasdt0(xC,xD),xC) = sdtpldt0(xC,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_442])]) ).
fof(f9652,plain,
( spl5_441
| ~ spl5_139
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4622,f4425,f1437,f9649]) ).
fof(f9649,plain,
( spl5_441
<=> sdtpldt0(sdtasdt0(xC,xD),xB) = sdtpldt0(xB,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_441])]) ).
fof(f9647,plain,
( spl5_440
| ~ spl5_138
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4621,f4425,f1433,f9644]) ).
fof(f9644,plain,
( spl5_440
<=> sdtpldt0(sdtasdt0(xC,xD),xA) = sdtpldt0(xA,sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_440])]) ).
fof(f9641,plain,
( spl5_439
| ~ spl5_168
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4500,f4421,f2027,f9638]) ).
fof(f9638,plain,
( spl5_439
<=> sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_439])]) ).
fof(f9635,plain,
( spl5_438
| ~ spl5_167
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4499,f4421,f2023,f9632]) ).
fof(f9632,plain,
( spl5_438
<=> sdtpldt0(sdtasdt0(xE,xE),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_438])]) ).
fof(f9630,plain,
( spl5_437
| ~ spl5_162
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4498,f4421,f1534,f9627]) ).
fof(f9627,plain,
( spl5_437
<=> sdtasdt0(sdtasdt0(xE,xE),xN) = sdtasdt0(xN,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_437])]) ).
fof(f9625,plain,
( spl5_436
| ~ spl5_161
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4497,f4421,f1530,f9622]) ).
fof(f9622,plain,
( spl5_436
<=> sdtasdt0(sdtasdt0(xE,xE),xS) = sdtasdt0(xS,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_436])]) ).
fof(f9620,plain,
( spl5_435
| ~ spl5_160
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4496,f4421,f1526,f9617]) ).
fof(f9617,plain,
( spl5_435
<=> sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_435])]) ).
fof(f9615,plain,
( spl5_434
| ~ spl5_60
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4896,f4765,f544,f9612]) ).
fof(f9612,plain,
( spl5_434
<=> sdtasdt0(xE,xE) = sdtpldt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_434])]) ).
fof(f9610,plain,
( spl5_433
| ~ spl5_159
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4495,f4421,f1522,f9607]) ).
fof(f9607,plain,
( spl5_433
<=> sdtasdt0(sdtasdt0(xE,xE),xR) = sdtasdt0(xR,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_433])]) ).
fof(f9605,plain,
( spl5_432
| ~ spl5_158
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4494,f4421,f1518,f9602]) ).
fof(f9602,plain,
( spl5_432
<=> sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_432])]) ).
fof(f9600,plain,
( spl5_431
| ~ spl5_157
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4493,f4421,f1514,f9597]) ).
fof(f9597,plain,
( spl5_431
<=> sdtasdt0(sdtasdt0(xE,xE),xG) = sdtasdt0(xG,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_431])]) ).
fof(f9595,plain,
( spl5_430
| ~ spl5_156
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4492,f4421,f1510,f9592]) ).
fof(f9592,plain,
( spl5_430
<=> sdtasdt0(sdtasdt0(xE,xE),xF) = sdtasdt0(xF,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_430])]) ).
fof(f9590,plain,
( spl5_429
| ~ spl5_155
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4491,f4421,f1506,f9587]) ).
fof(f9587,plain,
( spl5_429
<=> sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_429])]) ).
fof(f9585,plain,
( spl5_428
| ~ spl5_154
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4490,f4421,f1502,f9582]) ).
fof(f9582,plain,
( spl5_428
<=> sdtasdt0(sdtasdt0(xE,xE),xD) = sdtasdt0(xD,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_428])]) ).
fof(f9580,plain,
( spl5_427
| ~ spl5_153
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4489,f4421,f1498,f9577]) ).
fof(f9577,plain,
( spl5_427
<=> sdtasdt0(sdtasdt0(xE,xE),xC) = sdtasdt0(xC,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_427])]) ).
fof(f9575,plain,
( spl5_426
| ~ spl5_151
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4488,f4421,f1489,f9572]) ).
fof(f9572,plain,
( spl5_426
<=> sdtasdt0(sdtasdt0(xE,xE),xB) = sdtasdt0(xB,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_426])]) ).
fof(f9570,plain,
( spl5_425
| ~ spl5_150
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4487,f4421,f1485,f9567]) ).
fof(f9567,plain,
( spl5_425
<=> sdtasdt0(sdtasdt0(xE,xE),xA) = sdtasdt0(xA,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_425])]) ).
fof(f9565,plain,
( spl5_424
| ~ spl5_149
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4486,f4421,f1481,f9562]) ).
fof(f9562,plain,
( spl5_424
<=> sdtpldt0(sdtasdt0(xE,xE),xN) = sdtpldt0(xN,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_424])]) ).
fof(f9560,plain,
( spl5_423
| ~ spl5_59
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4895,f4765,f540,f9557]) ).
fof(f9557,plain,
( spl5_423
<=> sdtasdt0(xE,xE) = sdtpldt0(sdtasdt0(xE,xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_423])]) ).
fof(f4895,plain,
( sdtasdt0(xE,xE) = sdtpldt0(sdtasdt0(xE,xE),sz0z00)
| ~ spl5_59
| ~ spl5_247 ),
inference(resolution,[],[f4767,f541]) ).
fof(f9555,plain,
( spl5_422
| ~ spl5_148
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4485,f4421,f1477,f9552]) ).
fof(f9552,plain,
( spl5_422
<=> sdtpldt0(sdtasdt0(xE,xE),xS) = sdtpldt0(xS,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_422])]) ).
fof(f9550,plain,
( spl5_421
| ~ spl5_147
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4484,f4421,f1473,f9547]) ).
fof(f9547,plain,
( spl5_421
<=> sdtpldt0(sdtasdt0(xE,xE),xP) = sdtpldt0(xP,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_421])]) ).
fof(f9545,plain,
( spl5_420
| ~ spl5_146
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4483,f4421,f1469,f9542]) ).
fof(f9542,plain,
( spl5_420
<=> sdtpldt0(sdtasdt0(xE,xE),xR) = sdtpldt0(xR,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_420])]) ).
fof(f9540,plain,
( spl5_419
| ~ spl5_145
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4482,f4421,f1465,f9537]) ).
fof(f9537,plain,
( spl5_419
<=> sdtpldt0(sdtasdt0(xE,xE),xH) = sdtpldt0(xH,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_419])]) ).
fof(f9535,plain,
( spl5_418
| ~ spl5_144
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4481,f4421,f1461,f9532]) ).
fof(f9532,plain,
( spl5_418
<=> sdtpldt0(sdtasdt0(xE,xE),xG) = sdtpldt0(xG,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_418])]) ).
fof(f9530,plain,
( spl5_417
| ~ spl5_143
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4480,f4421,f1453,f9527]) ).
fof(f9527,plain,
( spl5_417
<=> sdtpldt0(sdtasdt0(xE,xE),xF) = sdtpldt0(xF,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_417])]) ).
fof(f9525,plain,
( spl5_416
| ~ spl5_142
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4479,f4421,f1449,f9522]) ).
fof(f9522,plain,
( spl5_416
<=> sdtpldt0(sdtasdt0(xE,xE),xE) = sdtpldt0(xE,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_416])]) ).
fof(f9520,plain,
( spl5_415
| ~ spl5_141
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4478,f4421,f1445,f9517]) ).
fof(f9517,plain,
( spl5_415
<=> sdtpldt0(sdtasdt0(xE,xE),xD) = sdtpldt0(xD,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_415])]) ).
fof(f9515,plain,
( spl5_414
| ~ spl5_140
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4477,f4421,f1441,f9512]) ).
fof(f9512,plain,
( spl5_414
<=> sdtpldt0(sdtasdt0(xE,xE),xC) = sdtpldt0(xC,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_414])]) ).
fof(f9510,plain,
( spl5_413
| ~ spl5_139
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4476,f4421,f1437,f9507]) ).
fof(f9507,plain,
( spl5_413
<=> sdtpldt0(sdtasdt0(xE,xE),xB) = sdtpldt0(xB,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_413])]) ).
fof(f9483,plain,
( spl5_412
| ~ spl5_138
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4475,f4421,f1433,f9480]) ).
fof(f9480,plain,
( spl5_412
<=> sdtpldt0(sdtasdt0(xE,xE),xA) = sdtpldt0(xA,sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_412])]) ).
fof(f9471,plain,
( spl5_411
| ~ spl5_22
| ~ spl5_232 ),
inference(avatar_split_clause,[],[f7293,f4429,f342,f9468]) ).
fof(f7293,plain,
( sP2(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl5_22
| ~ spl5_232 ),
inference(resolution,[],[f4430,f343]) ).
fof(f9353,plain,
( spl5_410
| ~ spl5_70
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1123,f1116,f590,f9351]) ).
fof(f9351,plain,
( spl5_410
<=> ! [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_410])]) ).
fof(f590,plain,
( spl5_70
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f1116,plain,
( spl5_108
<=> ! [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_108])]) ).
fof(f1123,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_70
| ~ spl5_108 ),
inference(resolution,[],[f1117,f591]) ).
fof(f591,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f1117,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_108 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f9349,plain,
( spl5_409
| ~ spl5_72
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1121,f1116,f598,f9347]) ).
fof(f9347,plain,
( spl5_409
<=> ! [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_409])]) ).
fof(f598,plain,
( spl5_72
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f1121,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_72
| ~ spl5_108 ),
inference(resolution,[],[f1117,f599]) ).
fof(f599,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f9345,plain,
( spl5_408
| ~ spl5_71
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1120,f1116,f594,f9343]) ).
fof(f9343,plain,
( spl5_408
<=> ! [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_408])]) ).
fof(f1120,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_71
| ~ spl5_108 ),
inference(resolution,[],[f1117,f595]) ).
fof(f9323,plain,
( spl5_407
| ~ spl5_88
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1081,f1077,f710,f9321]) ).
fof(f9321,plain,
( spl5_407
<=> ! [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_407])]) ).
fof(f1081,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_88
| ~ spl5_106 ),
inference(resolution,[],[f1078,f711]) ).
fof(f9275,plain,
( spl5_406
| ~ spl5_96
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1080,f1077,f912,f9273]) ).
fof(f9273,plain,
( spl5_406
<=> ! [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_406])]) ).
fof(f912,plain,
( spl5_96
<=> ! [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_96])]) ).
fof(f1080,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_96
| ~ spl5_106 ),
inference(resolution,[],[f1078,f913]) ).
fof(f913,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f9259,plain,
( spl5_405
| ~ spl5_88
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1070,f1065,f710,f9257]) ).
fof(f9257,plain,
( spl5_405
<=> ! [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_405])]) ).
fof(f1070,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_88
| ~ spl5_104 ),
inference(resolution,[],[f1066,f711]) ).
fof(f9218,plain,
( spl5_404
| ~ spl5_40
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1122,f1116,f442,f9216]) ).
fof(f9216,plain,
( spl5_404
<=> ! [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_404])]) ).
fof(f442,plain,
( spl5_40
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1122,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_108 ),
inference(resolution,[],[f1117,f443]) ).
fof(f443,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f9214,plain,
( spl5_403
| ~ spl5_96
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1069,f1065,f912,f9212]) ).
fof(f9212,plain,
( spl5_403
<=> ! [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_403])]) ).
fof(f1069,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_96
| ~ spl5_104 ),
inference(resolution,[],[f1066,f913]) ).
fof(f9149,plain,
( spl5_402
| ~ spl5_18
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1119,f1116,f322,f9147]) ).
fof(f9147,plain,
( spl5_402
<=> ! [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_402])]) ).
fof(f1119,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_108 ),
inference(resolution,[],[f1117,f324]) ).
fof(f8715,plain,
( spl5_401
| ~ spl5_5
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1135,f1116,f257,f8713]) ).
fof(f8713,plain,
( spl5_401
<=> ! [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_401])]) ).
fof(f1135,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_108 ),
inference(resolution,[],[f1117,f259]) ).
fof(f8711,plain,
( spl5_400
| ~ spl5_10
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1134,f1116,f282,f8709]) ).
fof(f8709,plain,
( spl5_400
<=> ! [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_400])]) ).
fof(f1134,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_108 ),
inference(resolution,[],[f1117,f284]) ).
fof(f8707,plain,
( spl5_399
| ~ spl5_14
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1133,f1116,f302,f8705]) ).
fof(f8705,plain,
( spl5_399
<=> ! [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_399])]) ).
fof(f1133,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_108 ),
inference(resolution,[],[f1117,f304]) ).
fof(f8703,plain,
( spl5_398
| ~ spl5_11
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1132,f1116,f287,f8701]) ).
fof(f8701,plain,
( spl5_398
<=> ! [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_398])]) ).
fof(f1132,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_108 ),
inference(resolution,[],[f1117,f289]) ).
fof(f8699,plain,
( spl5_397
| ~ spl5_16
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1131,f1116,f312,f8697]) ).
fof(f8697,plain,
( spl5_397
<=> ! [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_397])]) ).
fof(f1131,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_108 ),
inference(resolution,[],[f1117,f314]) ).
fof(f8695,plain,
( spl5_396
| ~ spl5_6
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1130,f1116,f262,f8693]) ).
fof(f8693,plain,
( spl5_396
<=> ! [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_396])]) ).
fof(f1130,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_108 ),
inference(resolution,[],[f1117,f264]) ).
fof(f8691,plain,
( spl5_395
| ~ spl5_7
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1129,f1116,f267,f8689]) ).
fof(f8689,plain,
( spl5_395
<=> ! [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_395])]) ).
fof(f1129,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_108 ),
inference(resolution,[],[f1117,f269]) ).
fof(f8687,plain,
( spl5_394
| ~ spl5_62
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f8299,f8100,f552,f8684]) ).
fof(f8684,plain,
( spl5_394
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_394])]) ).
fof(f8299,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xH,xH))
| ~ spl5_62
| ~ spl5_357 ),
inference(resolution,[],[f8102,f553]) ).
fof(f8682,plain,
( spl5_393
| ~ spl5_15
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1128,f1116,f307,f8680]) ).
fof(f8680,plain,
( spl5_393
<=> ! [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_393])]) ).
fof(f1128,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_108 ),
inference(resolution,[],[f1117,f309]) ).
fof(f8678,plain,
( spl5_392
| ~ spl5_9
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1127,f1116,f277,f8676]) ).
fof(f8676,plain,
( spl5_392
<=> ! [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_392])]) ).
fof(f1127,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_108 ),
inference(resolution,[],[f1117,f279]) ).
fof(f8674,plain,
( spl5_391
| ~ spl5_8
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1126,f1116,f272,f8672]) ).
fof(f8672,plain,
( spl5_391
<=> ! [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_391])]) ).
fof(f1126,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_108 ),
inference(resolution,[],[f1117,f274]) ).
fof(f8670,plain,
( spl5_390
| ~ spl5_12
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1125,f1116,f292,f8668]) ).
fof(f8668,plain,
( spl5_390
<=> ! [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_390])]) ).
fof(f1125,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_108 ),
inference(resolution,[],[f1117,f294]) ).
fof(f8666,plain,
( spl5_389
| ~ spl5_13
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1124,f1116,f297,f8664]) ).
fof(f8664,plain,
( spl5_389
<=> ! [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_389])]) ).
fof(f1124,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_108 ),
inference(resolution,[],[f1117,f299]) ).
fof(f8659,plain,
( ~ spl5_3
| spl5_388
| ~ spl5_23
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1105,f1101,f359,f8657,f247]) ).
fof(f247,plain,
( spl5_3
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f8657,plain,
( spl5_388
<=> ! [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_388])]) ).
fof(f359,plain,
( spl5_23
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1101,plain,
( spl5_107
<=> ! [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_107])]) ).
fof(f1105,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_107 ),
inference(superposition,[],[f1102,f361]) ).
fof(f361,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f1102,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_107 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f8655,plain,
( ~ spl5_3
| ~ spl5_386
| spl5_387
| ~ spl5_23
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1104,f1101,f359,f8653,f8649,f247]) ).
fof(f8649,plain,
( spl5_386
<=> iLess0(aDimensionOf0(xt),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_386])]) ).
fof(f8653,plain,
( spl5_387
<=> ! [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_387])]) ).
fof(f1104,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_107 ),
inference(superposition,[],[f1102,f361]) ).
fof(f8636,plain,
( spl5_385
| ~ spl5_61
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f8298,f8100,f548,f8633]) ).
fof(f8633,plain,
( spl5_385
<=> sz0z00 = sdtasdt0(sdtasdt0(xH,xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_385])]) ).
fof(f8298,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xH,xH),sz0z00)
| ~ spl5_61
| ~ spl5_357 ),
inference(resolution,[],[f8102,f549]) ).
fof(f8631,plain,
( ~ spl5_3
| spl5_111
| spl5_384
| ~ spl5_21
| ~ spl5_23
| ~ spl5_47
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1147,f1137,f477,f359,f337,f8629,f1220,f247]) ).
fof(f1220,plain,
( spl5_111
<=> sz00 = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f8629,plain,
( spl5_384
<=> ! [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_384])]) ).
fof(f337,plain,
( spl5_21
<=> xp = sziznziztdt0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f1137,plain,
( spl5_109
<=> ! [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_109])]) ).
fof(f1147,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_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1146,f339]) ).
fof(f339,plain,
( xp = sziznziztdt0(xs)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f1146,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_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1141,f479]) ).
fof(f1141,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_109 ),
inference(superposition,[],[f1138,f361]) ).
fof(f1138,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_109 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f8616,plain,
( ~ spl5_3
| spl5_383
| ~ spl5_21
| ~ spl5_23
| ~ spl5_47
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1145,f1137,f477,f359,f337,f8614,f247]) ).
fof(f8614,plain,
( spl5_383
<=> ! [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_383])]) ).
fof(f1145,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_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1144,f339]) ).
fof(f1144,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_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1140,f479]) ).
fof(f1140,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_109 ),
inference(superposition,[],[f1138,f361]) ).
fof(f8561,plain,
( spl5_382
| ~ spl5_70
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1024,f1000,f590,f8559]) ).
fof(f8559,plain,
( spl5_382
<=> ! [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_382])]) ).
fof(f1024,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_70
| ~ spl5_101 ),
inference(resolution,[],[f1001,f591]) ).
fof(f8557,plain,
( spl5_381
| ~ spl5_72
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1022,f1000,f598,f8555]) ).
fof(f8555,plain,
( spl5_381
<=> ! [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_381])]) ).
fof(f1022,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_72
| ~ spl5_101 ),
inference(resolution,[],[f1001,f599]) ).
fof(f8553,plain,
( spl5_380
| ~ spl5_71
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1021,f1000,f594,f8551]) ).
fof(f8551,plain,
( spl5_380
<=> ! [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_380])]) ).
fof(f1021,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_71
| ~ spl5_101 ),
inference(resolution,[],[f1001,f595]) ).
fof(f8540,plain,
( spl5_379
| ~ spl5_62
| ~ spl5_350 ),
inference(avatar_split_clause,[],[f8209,f8007,f552,f8537]) ).
fof(f8537,plain,
( spl5_379
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_379])]) ).
fof(f8209,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_62
| ~ spl5_350 ),
inference(resolution,[],[f8009,f553]) ).
fof(f8535,plain,
( ~ spl5_18
| spl5_378
| ~ spl5_94
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f935,f912,f904,f8533,f322]) ).
fof(f8533,plain,
( spl5_378
<=> ! [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_378])]) ).
fof(f904,plain,
( spl5_94
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f935,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_94
| ~ spl5_96 ),
inference(resolution,[],[f913,f905]) ).
fof(f905,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f8504,plain,
( ~ spl5_18
| spl5_377
| ~ spl5_95
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f934,f912,f908,f8502,f322]) ).
fof(f8502,plain,
( spl5_377
<=> ! [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_377])]) ).
fof(f908,plain,
( spl5_95
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f934,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_95
| ~ spl5_96 ),
inference(resolution,[],[f913,f909]) ).
fof(f909,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_95 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f8483,plain,
( ~ spl5_18
| spl5_376
| ~ spl5_88
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f919,f908,f710,f8481,f322]) ).
fof(f8481,plain,
( spl5_376
<=> ! [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_376])]) ).
fof(f919,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_88
| ~ spl5_95 ),
inference(resolution,[],[f909,f711]) ).
fof(f8475,plain,
( ~ spl5_18
| spl5_375
| ~ spl5_88
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f918,f904,f710,f8473,f322]) ).
fof(f8473,plain,
( spl5_375
<=> ! [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_375])]) ).
fof(f918,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_88
| ~ spl5_94 ),
inference(resolution,[],[f905,f711]) ).
fof(f8425,plain,
( spl5_374
| ~ spl5_61
| ~ spl5_350 ),
inference(avatar_split_clause,[],[f8208,f8007,f548,f8422]) ).
fof(f8422,plain,
( spl5_374
<=> sz0z00 = sdtasdt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_374])]) ).
fof(f8208,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_61
| ~ spl5_350 ),
inference(resolution,[],[f8009,f549]) ).
fof(f8397,plain,
( spl5_373
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1143,f1137,f8395]) ).
fof(f8395,plain,
( spl5_373
<=> ! [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_373])]) ).
fof(f1143,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_109 ),
inference(duplicate_literal_removal,[],[f1142]) ).
fof(f1142,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_109 ),
inference(equality_resolution,[],[f1138]) ).
fof(f8393,plain,
( spl5_372
| ~ spl5_70
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1007,f996,f590,f8391]) ).
fof(f8391,plain,
( spl5_372
<=> ! [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_372])]) ).
fof(f1007,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_70
| ~ spl5_100 ),
inference(resolution,[],[f997,f591]) ).
fof(f8389,plain,
( spl5_371
| ~ spl5_72
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1005,f996,f598,f8387]) ).
fof(f8387,plain,
( spl5_371
<=> ! [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_371])]) ).
fof(f1005,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_72
| ~ spl5_100 ),
inference(resolution,[],[f997,f599]) ).
fof(f8385,plain,
( spl5_370
| ~ spl5_71
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1004,f996,f594,f8383]) ).
fof(f8383,plain,
( spl5_370
<=> ! [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_370])]) ).
fof(f1004,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_71
| ~ spl5_100 ),
inference(resolution,[],[f997,f595]) ).
fof(f8272,plain,
( spl5_369
| ~ spl5_70
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f981,f946,f590,f8270]) ).
fof(f8270,plain,
( spl5_369
<=> ! [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_369])]) ).
fof(f981,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_70
| ~ spl5_98 ),
inference(resolution,[],[f947,f591]) ).
fof(f8268,plain,
( spl5_368
| ~ spl5_72
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f979,f946,f598,f8266]) ).
fof(f979,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_72
| ~ spl5_98 ),
inference(resolution,[],[f947,f599]) ).
fof(f8264,plain,
( spl5_367
| ~ spl5_71
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f978,f946,f594,f8262]) ).
fof(f978,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_71
| ~ spl5_98 ),
inference(resolution,[],[f947,f595]) ).
fof(f8260,plain,
( spl5_366
| ~ spl5_70
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f964,f942,f590,f8258]) ).
fof(f8258,plain,
( spl5_366
<=> ! [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_366])]) ).
fof(f964,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_70
| ~ spl5_97 ),
inference(resolution,[],[f943,f591]) ).
fof(f8256,plain,
( spl5_365
| ~ spl5_72
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f962,f942,f598,f8254]) ).
fof(f962,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_72
| ~ spl5_97 ),
inference(resolution,[],[f943,f599]) ).
fof(f8252,plain,
( spl5_364
| ~ spl5_71
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f961,f942,f594,f8250]) ).
fof(f961,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_71
| ~ spl5_97 ),
inference(resolution,[],[f943,f595]) ).
fof(f8224,plain,
( spl5_363
| ~ spl5_40
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1023,f1000,f442,f8222]) ).
fof(f1023,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_101 ),
inference(resolution,[],[f1001,f443]) ).
fof(f8205,plain,
( spl5_362
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1107,f1101,f8203]) ).
fof(f8203,plain,
( spl5_362
<=> ! [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_362])]) ).
fof(f1107,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_107 ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1106,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_107 ),
inference(equality_resolution,[],[f1102]) ).
fof(f8185,plain,
( ~ spl5_7
| ~ spl5_9
| spl5_361
| ~ spl5_30
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1094,f1077,f394,f8183,f277,f267]) ).
fof(f8183,plain,
( spl5_361
<=> ! [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_361])]) ).
fof(f1094,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_106 ),
inference(superposition,[],[f1078,f396]) ).
fof(f8165,plain,
( ~ spl5_15
| ~ spl5_16
| spl5_360
| ~ spl5_32
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1093,f1077,f404,f8163,f312,f307]) ).
fof(f8163,plain,
( spl5_360
<=> ! [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_360])]) ).
fof(f1093,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_106 ),
inference(superposition,[],[f1078,f406]) ).
fof(f8145,plain,
( ~ spl5_8
| ~ spl5_6
| spl5_359
| ~ spl5_31
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1092,f1077,f399,f8143,f262,f272]) ).
fof(f8143,plain,
( spl5_359
<=> ! [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_359])]) ).
fof(f1092,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_106 ),
inference(superposition,[],[f1078,f401]) ).
fof(f8125,plain,
( ~ spl5_13
| ~ spl5_12
| spl5_358
| ~ spl5_34
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1090,f1077,f414,f8123,f292,f297]) ).
fof(f8123,plain,
( spl5_358
<=> ! [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_358])]) ).
fof(f1090,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_106 ),
inference(superposition,[],[f1078,f416]) ).
fof(f8103,plain,
( spl5_357
| ~ spl5_22
| ~ spl5_320 ),
inference(avatar_split_clause,[],[f7650,f6379,f342,f8100]) ).
fof(f7650,plain,
( sP2(sdtasdt0(xH,xH))
| ~ spl5_22
| ~ spl5_320 ),
inference(resolution,[],[f6380,f343]) ).
fof(f6380,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl5_320 ),
inference(avatar_component_clause,[],[f6379]) ).
fof(f8098,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_118
| spl5_356
| ~ spl5_30
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1087,f1077,f394,f8096,f1260,f277,f267]) ).
fof(f1260,plain,
( spl5_118
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f8096,plain,
( spl5_356
<=> ! [X0,X1] :
( sdtlseqdt0(xS,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xF,X0)
| ~ sdtlseqdt0(xD,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_356])]) ).
fof(f1087,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_106 ),
inference(superposition,[],[f1078,f396]) ).
fof(f8076,plain,
( ~ spl5_8
| ~ spl5_6
| ~ spl5_120
| spl5_355
| ~ spl5_31
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1085,f1077,f399,f8074,f1274,f262,f272]) ).
fof(f1274,plain,
( spl5_120
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f8074,plain,
( spl5_355
<=> ! [X0,X1] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xC,X0)
| ~ sdtlseqdt0(xG,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_355])]) ).
fof(f1085,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_106 ),
inference(superposition,[],[f1078,f401]) ).
fof(f8067,plain,
( ~ spl5_231
| ~ spl5_230
| ~ spl5_353
| spl5_354
| ~ spl5_56
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f888,f710,f527,f8064,f8060,f4421,f4425]) ).
fof(f8060,plain,
( spl5_353
<=> sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_353])]) ).
fof(f8064,plain,
( spl5_354
<=> sdtasdt0(xE,xE) = sdtasdt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_354])]) ).
fof(f527,plain,
( spl5_56
<=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f888,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_56
| ~ spl5_88 ),
inference(resolution,[],[f711,f529]) ).
fof(f529,plain,
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f8034,plain,
( spl5_352
| ~ spl5_40
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1006,f996,f442,f8032]) ).
fof(f1006,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_100 ),
inference(resolution,[],[f997,f443]) ).
fof(f8014,plain,
( ~ spl5_13
| spl5_351
| ~ spl5_27
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1097,f1077,f379,f8012,f297]) ).
fof(f8012,plain,
( spl5_351
<=> ! [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_351])]) ).
fof(f379,plain,
( spl5_27
<=> xF = sdtasdt0(xA,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f1097,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_106 ),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1089,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_106 ),
inference(superposition,[],[f1078,f381]) ).
fof(f381,plain,
( xF = sdtasdt0(xA,xA)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f8010,plain,
( spl5_350
| ~ spl5_22
| ~ spl5_319 ),
inference(avatar_split_clause,[],[f6969,f6375,f342,f8007]) ).
fof(f6969,plain,
( sP2(sdtpldt0(xP,xP))
| ~ spl5_22
| ~ spl5_319 ),
inference(resolution,[],[f6376,f343]) ).
fof(f6376,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl5_319 ),
inference(avatar_component_clause,[],[f6375]) ).
fof(f7989,plain,
( ~ spl5_12
| spl5_349
| ~ spl5_26
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1096,f1077,f374,f7987,f292]) ).
fof(f7987,plain,
( spl5_349
<=> ! [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_349])]) ).
fof(f374,plain,
( spl5_26
<=> xG = sdtasdt0(xB,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f1096,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_106 ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1091,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_106 ),
inference(superposition,[],[f1078,f376]) ).
fof(f376,plain,
( xG = sdtasdt0(xB,xB)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f7972,plain,
( ~ spl5_230
| ~ spl5_231
| spl5_348
| ~ spl5_56
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f937,f912,f527,f7970,f4425,f4421]) ).
fof(f7970,plain,
( spl5_348
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_348])]) ).
fof(f937,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_56
| ~ spl5_96 ),
inference(resolution,[],[f913,f529]) ).
fof(f7967,plain,
( ~ spl5_319
| ~ spl5_346
| spl5_347
| ~ spl5_54
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f936,f912,f517,f7965,f7961,f6375]) ).
fof(f7965,plain,
( spl5_347
<=> ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_347])]) ).
fof(f936,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0) )
| ~ spl5_54
| ~ spl5_96 ),
inference(resolution,[],[f913,f519]) ).
fof(f7529,plain,
( spl5_345
| ~ spl5_40
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f980,f946,f442,f7527]) ).
fof(f980,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_98 ),
inference(resolution,[],[f947,f443]) ).
fof(f7525,plain,
( spl5_344
| ~ spl5_40
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f963,f942,f442,f7523]) ).
fof(f963,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_97 ),
inference(resolution,[],[f943,f443]) ).
fof(f7292,plain,
( ~ spl5_16
| ~ spl5_72
| spl5_320 ),
inference(avatar_split_clause,[],[f7251,f6379,f598,f312]) ).
fof(f7251,plain,
( ~ aScalar0(xH)
| ~ spl5_72
| spl5_320 ),
inference(duplicate_literal_removal,[],[f7250]) ).
fof(f7250,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ spl5_72
| spl5_320 ),
inference(resolution,[],[f6381,f599]) ).
fof(f6381,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl5_320 ),
inference(avatar_component_clause,[],[f6379]) ).
fof(f7291,plain,
( spl5_343
| ~ spl5_70
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f869,f706,f590,f7289]) ).
fof(f7289,plain,
( spl5_343
<=> ! [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_343])]) ).
fof(f869,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_70
| ~ spl5_87 ),
inference(resolution,[],[f707,f591]) ).
fof(f7287,plain,
( spl5_342
| ~ spl5_72
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f867,f706,f598,f7285]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_72
| ~ spl5_87 ),
inference(resolution,[],[f707,f599]) ).
fof(f7283,plain,
( spl5_341
| ~ spl5_71
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f866,f706,f594,f7281]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_71
| ~ spl5_87 ),
inference(resolution,[],[f707,f595]) ).
fof(f7279,plain,
( spl5_340
| ~ spl5_70
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f851,f697,f590,f7277]) ).
fof(f7277,plain,
( spl5_340
<=> ! [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_340])]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_70
| ~ spl5_85 ),
inference(resolution,[],[f698,f591]) ).
fof(f7275,plain,
( spl5_339
| ~ spl5_72
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f849,f697,f598,f7273]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_72
| ~ spl5_85 ),
inference(resolution,[],[f698,f599]) ).
fof(f7271,plain,
( spl5_338
| ~ spl5_71
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f848,f697,f594,f7269]) ).
fof(f848,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_71
| ~ spl5_85 ),
inference(resolution,[],[f698,f595]) ).
fof(f7267,plain,
( spl5_337
| ~ spl5_70
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f833,f693,f590,f7265]) ).
fof(f7265,plain,
( spl5_337
<=> ! [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_337])]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_70
| ~ spl5_84 ),
inference(resolution,[],[f694,f591]) ).
fof(f7263,plain,
( spl5_336
| ~ spl5_72
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f831,f693,f598,f7261]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_72
| ~ spl5_84 ),
inference(resolution,[],[f694,f599]) ).
fof(f7259,plain,
( spl5_335
| ~ spl5_71
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f830,f693,f594,f7257]) ).
fof(f830,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_71
| ~ spl5_84 ),
inference(resolution,[],[f694,f595]) ).
fof(f7249,plain,
( ~ spl5_3
| spl5_111
| spl5_334
| ~ spl5_21
| ~ spl5_23
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1057,f1038,f359,f337,f7247,f1220,f247]) ).
fof(f7247,plain,
( spl5_334
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_334])]) ).
fof(f1038,plain,
( spl5_102
<=> ! [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_102])]) ).
fof(f1057,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_102 ),
inference(forward_demodulation,[],[f1053,f339]) ).
fof(f1053,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_102 ),
inference(superposition,[],[f1039,f361]) ).
fof(f1039,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_102 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f7241,plain,
( ~ spl5_3
| spl5_333
| ~ spl5_21
| ~ spl5_23
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1056,f1038,f359,f337,f7239,f247]) ).
fof(f7239,plain,
( spl5_333
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_333])]) ).
fof(f1056,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_21
| ~ spl5_23
| ~ spl5_102 ),
inference(forward_demodulation,[],[f1052,f339]) ).
fof(f1052,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_102 ),
inference(superposition,[],[f1039,f361]) ).
fof(f7229,plain,
( ~ spl5_18
| spl5_332
| ~ spl5_58
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f933,f912,f536,f7227,f322]) ).
fof(f7227,plain,
( spl5_332
<=> ! [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_332])]) ).
fof(f536,plain,
( spl5_58
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f933,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_58
| ~ spl5_96 ),
inference(resolution,[],[f913,f537]) ).
fof(f537,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f7217,plain,
( ~ spl5_18
| spl5_331
| ~ spl5_57
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f932,f912,f532,f7215,f322]) ).
fof(f7215,plain,
( spl5_331
<=> ! [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_331])]) ).
fof(f532,plain,
( spl5_57
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f932,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl5_57
| ~ spl5_96 ),
inference(resolution,[],[f913,f533]) ).
fof(f533,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f7207,plain,
( ~ spl5_18
| spl5_330
| ~ spl5_58
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f886,f710,f536,f7205,f322]) ).
fof(f7205,plain,
( spl5_330
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_330])]) ).
fof(f886,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_58
| ~ spl5_88 ),
inference(resolution,[],[f711,f537]) ).
fof(f6968,plain,
( ~ spl5_18
| spl5_329
| ~ spl5_57
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f885,f710,f532,f6966,f322]) ).
fof(f6966,plain,
( spl5_329
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_329])]) ).
fof(f885,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_57
| ~ spl5_88 ),
inference(resolution,[],[f711,f533]) ).
fof(f6800,plain,
( spl5_328
| ~ spl5_18
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1020,f1000,f322,f6798]) ).
fof(f1020,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_101 ),
inference(resolution,[],[f1001,f324]) ).
fof(f6796,plain,
( ~ spl5_14
| ~ spl5_71
| spl5_319 ),
inference(avatar_split_clause,[],[f6681,f6375,f594,f302]) ).
fof(f6681,plain,
( ~ aScalar0(xP)
| ~ spl5_71
| spl5_319 ),
inference(duplicate_literal_removal,[],[f6680]) ).
fof(f6680,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl5_71
| spl5_319 ),
inference(resolution,[],[f6377,f595]) ).
fof(f6377,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl5_319 ),
inference(avatar_component_clause,[],[f6375]) ).
fof(f6795,plain,
( spl5_327
| ~ spl5_18
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1003,f996,f322,f6793]) ).
fof(f1003,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_100 ),
inference(resolution,[],[f997,f324]) ).
fof(f6791,plain,
( spl5_326
| ~ spl5_70
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f812,f805,f590,f6789]) ).
fof(f6789,plain,
( spl5_326
<=> ! [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_326])]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_70
| ~ spl5_92 ),
inference(resolution,[],[f806,f591]) ).
fof(f6787,plain,
( spl5_325
| ~ spl5_72
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f810,f805,f598,f6785]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_72
| ~ spl5_92 ),
inference(resolution,[],[f806,f599]) ).
fof(f6783,plain,
( spl5_324
| ~ spl5_71
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f809,f805,f594,f6781]) ).
fof(f809,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_71
| ~ spl5_92 ),
inference(resolution,[],[f806,f595]) ).
fof(f6779,plain,
( spl5_323
| ~ spl5_70
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f791,f717,f590,f6777]) ).
fof(f6777,plain,
( spl5_323
<=> ! [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_323])]) ).
fof(f791,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_70
| ~ spl5_90 ),
inference(resolution,[],[f718,f591]) ).
fof(f6775,plain,
( spl5_322
| ~ spl5_72
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f789,f717,f598,f6773]) ).
fof(f789,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_72
| ~ spl5_90 ),
inference(resolution,[],[f718,f599]) ).
fof(f6771,plain,
( spl5_321
| ~ spl5_71
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f788,f717,f594,f6769]) ).
fof(f788,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_71
| ~ spl5_90 ),
inference(resolution,[],[f718,f595]) ).
fof(f6382,plain,
( ~ spl5_319
| ~ spl5_320
| ~ spl5_71
| spl5_232 ),
inference(avatar_split_clause,[],[f4444,f4429,f594,f6379,f6375]) ).
fof(f4444,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_71
| spl5_232 ),
inference(resolution,[],[f4431,f595]) ).
fof(f4431,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| spl5_232 ),
inference(avatar_component_clause,[],[f4429]) ).
fof(f6060,plain,
( spl5_318
| ~ spl5_5
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1036,f1000,f257,f6058]) ).
fof(f1036,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_101 ),
inference(resolution,[],[f1001,f259]) ).
fof(f6056,plain,
( spl5_317
| ~ spl5_10
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1035,f1000,f282,f6054]) ).
fof(f1035,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_101 ),
inference(resolution,[],[f1001,f284]) ).
fof(f6052,plain,
( spl5_316
| ~ spl5_14
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1034,f1000,f302,f6050]) ).
fof(f1034,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_101 ),
inference(resolution,[],[f1001,f304]) ).
fof(f6048,plain,
( spl5_315
| ~ spl5_11
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1033,f1000,f287,f6046]) ).
fof(f1033,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_101 ),
inference(resolution,[],[f1001,f289]) ).
fof(f6044,plain,
( spl5_314
| ~ spl5_16
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1032,f1000,f312,f6042]) ).
fof(f1032,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_101 ),
inference(resolution,[],[f1001,f314]) ).
fof(f6040,plain,
( spl5_313
| ~ spl5_6
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1031,f1000,f262,f6038]) ).
fof(f1031,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_101 ),
inference(resolution,[],[f1001,f264]) ).
fof(f6036,plain,
( spl5_312
| ~ spl5_7
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1030,f1000,f267,f6034]) ).
fof(f1030,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_101 ),
inference(resolution,[],[f1001,f269]) ).
fof(f6032,plain,
( spl5_311
| ~ spl5_15
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1029,f1000,f307,f6030]) ).
fof(f1029,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_101 ),
inference(resolution,[],[f1001,f309]) ).
fof(f6028,plain,
( spl5_310
| ~ spl5_9
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1028,f1000,f277,f6026]) ).
fof(f1028,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_101 ),
inference(resolution,[],[f1001,f279]) ).
fof(f6019,plain,
( spl5_309
| ~ spl5_8
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1027,f1000,f272,f6017]) ).
fof(f1027,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_101 ),
inference(resolution,[],[f1001,f274]) ).
fof(f6015,plain,
( spl5_308
| ~ spl5_12
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1026,f1000,f292,f6013]) ).
fof(f1026,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_101 ),
inference(resolution,[],[f1001,f294]) ).
fof(f6011,plain,
( spl5_307
| ~ spl5_13
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1025,f1000,f297,f6009]) ).
fof(f1025,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_101 ),
inference(resolution,[],[f1001,f299]) ).
fof(f6007,plain,
( spl5_306
| ~ spl5_5
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1019,f996,f257,f6005]) ).
fof(f1019,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_100 ),
inference(resolution,[],[f997,f259]) ).
fof(f6003,plain,
( spl5_305
| ~ spl5_10
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1018,f996,f282,f6001]) ).
fof(f1018,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_100 ),
inference(resolution,[],[f997,f284]) ).
fof(f5999,plain,
( spl5_304
| ~ spl5_14
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1017,f996,f302,f5997]) ).
fof(f1017,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_100 ),
inference(resolution,[],[f997,f304]) ).
fof(f5995,plain,
( spl5_303
| ~ spl5_11
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1016,f996,f287,f5993]) ).
fof(f1016,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_100 ),
inference(resolution,[],[f997,f289]) ).
fof(f5991,plain,
( spl5_302
| ~ spl5_16
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1015,f996,f312,f5989]) ).
fof(f1015,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_100 ),
inference(resolution,[],[f997,f314]) ).
fof(f5987,plain,
( spl5_301
| ~ spl5_6
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1014,f996,f262,f5985]) ).
fof(f1014,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_100 ),
inference(resolution,[],[f997,f264]) ).
fof(f5983,plain,
( spl5_300
| ~ spl5_7
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1013,f996,f267,f5981]) ).
fof(f1013,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_100 ),
inference(resolution,[],[f997,f269]) ).
fof(f5974,plain,
( spl5_299
| ~ spl5_15
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1012,f996,f307,f5972]) ).
fof(f1012,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_100 ),
inference(resolution,[],[f997,f309]) ).
fof(f5970,plain,
( spl5_298
| ~ spl5_9
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1011,f996,f277,f5968]) ).
fof(f1011,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_100 ),
inference(resolution,[],[f997,f279]) ).
fof(f5966,plain,
( spl5_297
| ~ spl5_8
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1010,f996,f272,f5964]) ).
fof(f1010,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_100 ),
inference(resolution,[],[f997,f274]) ).
fof(f5962,plain,
( spl5_296
| ~ spl5_12
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1009,f996,f292,f5960]) ).
fof(f1009,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_100 ),
inference(resolution,[],[f997,f294]) ).
fof(f5958,plain,
( spl5_295
| ~ spl5_13
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1008,f996,f297,f5956]) ).
fof(f1008,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_100 ),
inference(resolution,[],[f997,f299]) ).
fof(f5947,plain,
( spl5_294
| ~ spl5_69
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f668,f653,f586,f5945]) ).
fof(f5945,plain,
( spl5_294
<=> ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_294])]) ).
fof(f586,plain,
( spl5_69
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f653,plain,
( spl5_78
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f668,plain,
( ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_69
| ~ spl5_78 ),
inference(resolution,[],[f654,f587]) ).
fof(f587,plain,
( ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_69 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f654,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f5750,plain,
( spl5_293
| ~ spl5_18
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f977,f946,f322,f5748]) ).
fof(f977,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_98 ),
inference(resolution,[],[f947,f324]) ).
fof(f5746,plain,
( spl5_292
| ~ spl5_18
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f960,f942,f322,f5744]) ).
fof(f960,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_97 ),
inference(resolution,[],[f943,f324]) ).
fof(f5742,plain,
( spl5_291
| ~ spl5_80
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f939,f912,f662,f5740]) ).
fof(f5740,plain,
( spl5_291
<=> ! [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_291])]) ).
fof(f662,plain,
( spl5_80
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl5_80
| ~ spl5_96 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl5_80
| ~ spl5_96 ),
inference(resolution,[],[f913,f663]) ).
fof(f663,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_80 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f5738,plain,
( spl5_290
| ~ spl5_40
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f868,f706,f442,f5736]) ).
fof(f868,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_87 ),
inference(resolution,[],[f707,f443]) ).
fof(f5734,plain,
( spl5_289
| ~ spl5_40
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f850,f697,f442,f5732]) ).
fof(f850,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_85 ),
inference(resolution,[],[f698,f443]) ).
fof(f5730,plain,
( spl5_288
| ~ spl5_40
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f832,f693,f442,f5728]) ).
fof(f832,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_84 ),
inference(resolution,[],[f694,f443]) ).
fof(f5692,plain,
( spl5_287
| ~ spl5_62
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f4944,f4852,f552,f5689]) ).
fof(f4944,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xC,xD))
| ~ spl5_62
| ~ spl5_253 ),
inference(resolution,[],[f4854,f553]) ).
fof(f5404,plain,
( spl5_286
| ~ spl5_61
| ~ spl5_253 ),
inference(avatar_split_clause,[],[f4943,f4852,f548,f5401]) ).
fof(f5401,plain,
( spl5_286
<=> sz0z00 = sdtasdt0(sdtasdt0(xC,xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_286])]) ).
fof(f4943,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xC,xD),sz0z00)
| ~ spl5_61
| ~ spl5_253 ),
inference(resolution,[],[f4854,f549]) ).
fof(f5115,plain,
( spl5_285
| ~ spl5_62
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4898,f4765,f552,f5112]) ).
fof(f4898,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl5_62
| ~ spl5_247 ),
inference(resolution,[],[f4767,f553]) ).
fof(f5020,plain,
( spl5_284
| ~ spl5_5
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f993,f946,f257,f5018]) ).
fof(f993,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_98 ),
inference(resolution,[],[f947,f259]) ).
fof(f5016,plain,
( spl5_283
| ~ spl5_10
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f992,f946,f282,f5014]) ).
fof(f992,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_98 ),
inference(resolution,[],[f947,f284]) ).
fof(f5012,plain,
( spl5_282
| ~ spl5_14
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f991,f946,f302,f5010]) ).
fof(f991,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_98 ),
inference(resolution,[],[f947,f304]) ).
fof(f5008,plain,
( spl5_281
| ~ spl5_11
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f990,f946,f287,f5006]) ).
fof(f990,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_98 ),
inference(resolution,[],[f947,f289]) ).
fof(f5004,plain,
( spl5_280
| ~ spl5_16
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f989,f946,f312,f5002]) ).
fof(f989,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_98 ),
inference(resolution,[],[f947,f314]) ).
fof(f5000,plain,
( spl5_279
| ~ spl5_6
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f988,f946,f262,f4998]) ).
fof(f988,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_98 ),
inference(resolution,[],[f947,f264]) ).
fof(f4996,plain,
( spl5_278
| ~ spl5_7
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f987,f946,f267,f4994]) ).
fof(f987,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_98 ),
inference(resolution,[],[f947,f269]) ).
fof(f4992,plain,
( spl5_277
| ~ spl5_61
| ~ spl5_247 ),
inference(avatar_split_clause,[],[f4897,f4765,f548,f4989]) ).
fof(f4989,plain,
( spl5_277
<=> sz0z00 = sdtasdt0(sdtasdt0(xE,xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_277])]) ).
fof(f4897,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xE,xE),sz0z00)
| ~ spl5_61
| ~ spl5_247 ),
inference(resolution,[],[f4767,f549]) ).
fof(f4987,plain,
( spl5_276
| ~ spl5_15
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f986,f946,f307,f4985]) ).
fof(f986,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_98 ),
inference(resolution,[],[f947,f309]) ).
fof(f4983,plain,
( spl5_275
| ~ spl5_9
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f985,f946,f277,f4981]) ).
fof(f985,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_98 ),
inference(resolution,[],[f947,f279]) ).
fof(f4979,plain,
( spl5_274
| ~ spl5_8
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f984,f946,f272,f4977]) ).
fof(f984,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_98 ),
inference(resolution,[],[f947,f274]) ).
fof(f4975,plain,
( spl5_273
| ~ spl5_12
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f983,f946,f292,f4973]) ).
fof(f983,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_98 ),
inference(resolution,[],[f947,f294]) ).
fof(f4971,plain,
( spl5_272
| ~ spl5_13
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f982,f946,f297,f4969]) ).
fof(f982,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_98 ),
inference(resolution,[],[f947,f299]) ).
fof(f4967,plain,
( spl5_271
| ~ spl5_5
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f976,f942,f257,f4965]) ).
fof(f976,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_97 ),
inference(resolution,[],[f943,f259]) ).
fof(f4963,plain,
( spl5_270
| ~ spl5_10
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f975,f942,f282,f4961]) ).
fof(f975,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_97 ),
inference(resolution,[],[f943,f284]) ).
fof(f4959,plain,
( spl5_269
| ~ spl5_14
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f974,f942,f302,f4957]) ).
fof(f974,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_97 ),
inference(resolution,[],[f943,f304]) ).
fof(f4955,plain,
( spl5_268
| ~ spl5_11
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f973,f942,f287,f4953]) ).
fof(f973,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_97 ),
inference(resolution,[],[f943,f289]) ).
fof(f4951,plain,
( spl5_267
| ~ spl5_16
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f972,f942,f312,f4949]) ).
fof(f972,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_97 ),
inference(resolution,[],[f943,f314]) ).
fof(f4940,plain,
( spl5_266
| ~ spl5_6
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f971,f942,f262,f4938]) ).
fof(f971,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_97 ),
inference(resolution,[],[f943,f264]) ).
fof(f4936,plain,
( spl5_265
| ~ spl5_7
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f970,f942,f267,f4934]) ).
fof(f970,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_97 ),
inference(resolution,[],[f943,f269]) ).
fof(f4932,plain,
( spl5_264
| ~ spl5_15
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f969,f942,f307,f4930]) ).
fof(f969,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_97 ),
inference(resolution,[],[f943,f309]) ).
fof(f4928,plain,
( spl5_263
| ~ spl5_9
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f968,f942,f277,f4926]) ).
fof(f968,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_97 ),
inference(resolution,[],[f943,f279]) ).
fof(f4924,plain,
( spl5_262
| ~ spl5_8
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f967,f942,f272,f4922]) ).
fof(f967,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_97 ),
inference(resolution,[],[f943,f274]) ).
fof(f4920,plain,
( spl5_261
| ~ spl5_12
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f966,f942,f292,f4918]) ).
fof(f966,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_97 ),
inference(resolution,[],[f943,f294]) ).
fof(f4916,plain,
( spl5_260
| ~ spl5_13
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f965,f942,f297,f4914]) ).
fof(f965,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_97 ),
inference(resolution,[],[f943,f299]) ).
fof(f4912,plain,
( ~ spl5_3
| spl5_259
| ~ spl5_23
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f915,f900,f359,f4910,f247]) ).
fof(f4910,plain,
( spl5_259
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| sP0(X0,xs)
| aNaturalNumber0(sK3(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_259])]) ).
fof(f900,plain,
( spl5_93
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f915,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| aNaturalNumber0(sK3(X0,xs))
| sP0(X0,xs)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_93 ),
inference(superposition,[],[f901,f361]) ).
fof(f901,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f4884,plain,
( ~ spl5_2
| spl5_258
| ~ spl5_46
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f917,f900,f472,f4882,f242]) ).
fof(f242,plain,
( spl5_2
<=> aVector0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f4882,plain,
( spl5_258
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sP0(X0,xp)
| aNaturalNumber0(sK3(X0,xp)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_258])]) ).
fof(f472,plain,
( spl5_46
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f917,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aNaturalNumber0(sK3(X0,xp))
| sP0(X0,xp)
| ~ aVector0(xp) )
| ~ spl5_46
| ~ spl5_93 ),
inference(superposition,[],[f901,f474]) ).
fof(f474,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f4877,plain,
( ~ spl5_1
| spl5_257
| ~ spl5_44
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f916,f900,f462,f4875,f237]) ).
fof(f237,plain,
( spl5_1
<=> aVector0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f4875,plain,
( spl5_257
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sP0(X0,xq)
| aNaturalNumber0(sK3(X0,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_257])]) ).
fof(f462,plain,
( spl5_44
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f916,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aNaturalNumber0(sK3(X0,xq))
| sP0(X0,xq)
| ~ aVector0(xq) )
| ~ spl5_44
| ~ spl5_93 ),
inference(superposition,[],[f901,f464]) ).
fof(f464,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f4870,plain,
( ~ spl5_133
| spl5_256
| ~ spl5_46
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f683,f678,f472,f4868,f1373]) ).
fof(f1373,plain,
( spl5_133
<=> aNaturalNumber0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f4868,plain,
( spl5_256
<=> ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(xp) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_256])]) ).
fof(f678,plain,
( spl5_82
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f683,plain,
( ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| aDimensionOf0(xp) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp)) )
| ~ spl5_46
| ~ spl5_82 ),
inference(superposition,[],[f679,f474]) ).
fof(f679,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f4863,plain,
( ~ spl5_131
| spl5_255
| ~ spl5_44
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f682,f678,f462,f4861,f1363]) ).
fof(f1363,plain,
( spl5_131
<=> aNaturalNumber0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f4861,plain,
( spl5_255
<=> ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(xq) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_255])]) ).
fof(f682,plain,
( ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| aDimensionOf0(xq) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq)) )
| ~ spl5_44
| ~ spl5_82 ),
inference(superposition,[],[f679,f464]) ).
fof(f4859,plain,
( spl5_254
| ~ spl5_69
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f640,f630,f586,f4857]) ).
fof(f4857,plain,
( spl5_254
<=> ! [X0] :
( sdtlbdtrb0(xp,sK4(X0)) = sdtlbdtrb0(xs,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_254])]) ).
fof(f640,plain,
( ! [X0] :
( sdtlbdtrb0(xp,sK4(X0)) = sdtlbdtrb0(xs,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_69
| ~ spl5_75 ),
inference(resolution,[],[f631,f587]) ).
fof(f4855,plain,
( spl5_253
| ~ spl5_22
| ~ spl5_231 ),
inference(avatar_split_clause,[],[f4610,f4425,f342,f4852]) ).
fof(f4610,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_22
| ~ spl5_231 ),
inference(resolution,[],[f4426,f343]) ).
fof(f4850,plain,
( spl5_252
| ~ spl5_69
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f636,f626,f586,f4848]) ).
fof(f4848,plain,
( spl5_252
<=> ! [X0] :
( sdtlbdtrb0(xq,sK4(X0)) = sdtlbdtrb0(xt,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_252])]) ).
fof(f636,plain,
( ! [X0] :
( sdtlbdtrb0(xq,sK4(X0)) = sdtlbdtrb0(xt,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_69
| ~ spl5_74 ),
inference(resolution,[],[f627,f587]) ).
fof(f4786,plain,
( spl5_251
| ~ spl5_40
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f811,f805,f442,f4784]) ).
fof(f811,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_92 ),
inference(resolution,[],[f806,f443]) ).
fof(f4782,plain,
( spl5_250
| ~ spl5_40
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f790,f717,f442,f4780]) ).
fof(f790,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_40
| ~ spl5_90 ),
inference(resolution,[],[f718,f443]) ).
fof(f4778,plain,
( spl5_249
| ~ spl5_38
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f667,f653,f434,f4776]) ).
fof(f4776,plain,
( spl5_249
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_249])]) ).
fof(f434,plain,
( spl5_38
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f667,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl5_38
| ~ spl5_78 ),
inference(resolution,[],[f654,f435]) ).
fof(f435,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f4774,plain,
( spl5_248
| ~ spl5_37
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f666,f653,f430,f4772]) ).
fof(f4772,plain,
( spl5_248
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_248])]) ).
fof(f430,plain,
( spl5_37
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f666,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37
| ~ spl5_78 ),
inference(resolution,[],[f654,f431]) ).
fof(f431,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f4768,plain,
( spl5_247
| ~ spl5_22
| ~ spl5_230 ),
inference(avatar_split_clause,[],[f4464,f4421,f342,f4765]) ).
fof(f4464,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_22
| ~ spl5_230 ),
inference(resolution,[],[f4422,f343]) ).
fof(f4763,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_244
| ~ spl5_245
| spl5_246
| ~ spl5_25
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f926,f908,f369,f4760,f4753,f4746,f282,f287]) ).
fof(f4746,plain,
( spl5_244
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_244])]) ).
fof(f4760,plain,
( spl5_246
<=> sdtlseqdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_246])]) ).
fof(f926,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_25
| ~ spl5_95 ),
inference(superposition,[],[f909,f371]) ).
fof(f4756,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_119
| ~ spl5_118
| spl5_245
| ~ spl5_30
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f925,f908,f394,f4753,f1260,f1267,f277,f267]) ).
fof(f1267,plain,
( spl5_119
<=> sdtlseqdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f925,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ spl5_30
| ~ spl5_95 ),
inference(superposition,[],[f909,f396]) ).
fof(f4749,plain,
( ~ spl5_8
| ~ spl5_6
| ~ spl5_117
| ~ spl5_120
| spl5_244
| ~ spl5_31
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f923,f908,f399,f4746,f1274,f1253,f262,f272]) ).
fof(f1253,plain,
( spl5_117
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f923,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ spl5_31
| ~ spl5_95 ),
inference(superposition,[],[f909,f401]) ).
fof(f4738,plain,
( ~ spl5_13
| ~ spl5_12
| ~ spl5_241
| ~ spl5_242
| spl5_243
| ~ spl5_34
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f921,f908,f414,f4735,f4731,f4727,f292,f297]) ).
fof(f4727,plain,
( spl5_241
<=> sdtlseqdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_241])]) ).
fof(f4731,plain,
( spl5_242
<=> sdtlseqdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_242])]) ).
fof(f4735,plain,
( spl5_243
<=> sdtlseqdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_243])]) ).
fof(f921,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ spl5_34
| ~ spl5_95 ),
inference(superposition,[],[f909,f416]) ).
fof(f4609,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_72
| spl5_231 ),
inference(avatar_split_clause,[],[f4443,f4425,f598,f277,f272]) ).
fof(f4443,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ spl5_72
| spl5_231 ),
inference(resolution,[],[f4427,f599]) ).
fof(f4427,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl5_231 ),
inference(avatar_component_clause,[],[f4425]) ).
fof(f4605,plain,
( ~ spl5_3
| spl5_240
| ~ spl5_23
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f826,f689,f359,f4603,f247]) ).
fof(f689,plain,
( spl5_83
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f826,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_23
| ~ spl5_83 ),
inference(superposition,[],[f690,f361]) ).
fof(f690,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f4598,plain,
( ~ spl5_3
| spl5_239
| ~ spl5_23
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f825,f689,f359,f4596,f247]) ).
fof(f825,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_23
| ~ spl5_83 ),
inference(superposition,[],[f690,f361]) ).
fof(f4588,plain,
( spl5_238
| ~ spl5_53
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f681,f674,f506,f4586]) ).
fof(f4586,plain,
( spl5_238
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_238])]) ).
fof(f506,plain,
( spl5_53
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f674,plain,
( spl5_81
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f681,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) )
| ~ spl5_53
| ~ spl5_81 ),
inference(resolution,[],[f675,f507]) ).
fof(f507,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f675,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f4463,plain,
( ~ spl5_15
| ~ spl5_72
| spl5_230 ),
inference(avatar_split_clause,[],[f4442,f4421,f598,f307]) ).
fof(f4442,plain,
( ~ aScalar0(xE)
| ~ spl5_72
| spl5_230 ),
inference(duplicate_literal_removal,[],[f4441]) ).
fof(f4441,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ spl5_72
| spl5_230 ),
inference(resolution,[],[f4423,f599]) ).
fof(f4423,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl5_230 ),
inference(avatar_component_clause,[],[f4421]) ).
fof(f4462,plain,
( ~ spl5_235
| ~ spl5_236
| spl5_237
| spl5_43
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f669,f662,f457,f4459,f4455,f4451]) ).
fof(f4459,plain,
( spl5_237
<=> 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_237])]) ).
fof(f457,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(f669,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_80 ),
inference(resolution,[],[f663,f459]) ).
fof(f459,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,[],[f457]) ).
fof(f4440,plain,
( ~ spl5_230
| ~ spl5_231
| ~ spl5_232
| ~ spl5_233
| ~ spl5_56
| ~ spl5_234
| spl5_43
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1068,f1065,f457,f4437,f527,f4433,f4429,f4425,f4421]) ).
fof(f1068,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_104 ),
inference(resolution,[],[f1066,f459]) ).
fof(f4372,plain,
( spl5_229
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1075,f1072,f4370]) ).
fof(f4370,plain,
( spl5_229
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_229])]) ).
fof(f1072,plain,
( spl5_105
<=> ! [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_105])]) ).
fof(f1075,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_105 ),
inference(equality_resolution,[],[f1073]) ).
fof(f1073,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_105 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f4368,plain,
( spl5_228
| ~ spl5_42
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1112,f556,f452,f4365]) ).
fof(f4365,plain,
( spl5_228
<=> xD = smndt0(smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_228])]) ).
fof(f1112,plain,
( xD = smndt0(smndt0(xD))
| ~ spl5_42
| ~ spl5_63 ),
inference(resolution,[],[f454,f557]) ).
fof(f4363,plain,
( spl5_227
| ~ spl5_18
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f865,f706,f322,f4361]) ).
fof(f4361,plain,
( spl5_227
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_227])]) ).
fof(f865,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_87 ),
inference(resolution,[],[f707,f324]) ).
fof(f4358,plain,
( spl5_226
| ~ spl5_18
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f847,f697,f322,f4356]) ).
fof(f4356,plain,
( spl5_226
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_226])]) ).
fof(f847,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_85 ),
inference(resolution,[],[f698,f324]) ).
fof(f4353,plain,
( spl5_225
| ~ spl5_18
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f829,f693,f322,f4351]) ).
fof(f4351,plain,
( spl5_225
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_225])]) ).
fof(f829,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_84 ),
inference(resolution,[],[f694,f324]) ).
fof(f4168,plain,
( spl5_224
| ~ spl5_42
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1111,f552,f452,f4165]) ).
fof(f3909,plain,
( spl5_223
| ~ spl5_42
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1110,f548,f452,f3906]) ).
fof(f3636,plain,
( spl5_222
| ~ spl5_42
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1109,f544,f452,f3633]) ).
fof(f3633,plain,
( spl5_222
<=> xD = sdtpldt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_222])]) ).
fof(f1109,plain,
( xD = sdtpldt0(sz0z00,xD)
| ~ spl5_42
| ~ spl5_60 ),
inference(resolution,[],[f454,f545]) ).
fof(f3387,plain,
( spl5_221
| ~ spl5_42
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1108,f540,f452,f3384]) ).
fof(f3384,plain,
( spl5_221
<=> xD = sdtpldt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_221])]) ).
fof(f1108,plain,
( xD = sdtpldt0(xD,sz0z00)
| ~ spl5_42
| ~ spl5_59 ),
inference(resolution,[],[f454,f541]) ).
fof(f3352,plain,
( spl5_220
| ~ spl5_5
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f881,f706,f257,f3350]) ).
fof(f881,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_87 ),
inference(resolution,[],[f707,f259]) ).
fof(f3348,plain,
( spl5_219
| ~ spl5_10
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f880,f706,f282,f3346]) ).
fof(f880,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_87 ),
inference(resolution,[],[f707,f284]) ).
fof(f3344,plain,
( spl5_218
| ~ spl5_14
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f879,f706,f302,f3342]) ).
fof(f879,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_87 ),
inference(resolution,[],[f707,f304]) ).
fof(f3340,plain,
( spl5_217
| ~ spl5_11
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f878,f706,f287,f3338]) ).
fof(f878,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_87 ),
inference(resolution,[],[f707,f289]) ).
fof(f3336,plain,
( spl5_216
| ~ spl5_16
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f877,f706,f312,f3334]) ).
fof(f877,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_87 ),
inference(resolution,[],[f707,f314]) ).
fof(f3332,plain,
( spl5_215
| ~ spl5_6
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f876,f706,f262,f3330]) ).
fof(f876,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_87 ),
inference(resolution,[],[f707,f264]) ).
fof(f3328,plain,
( spl5_214
| ~ spl5_7
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f875,f706,f267,f3326]) ).
fof(f875,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_87 ),
inference(resolution,[],[f707,f269]) ).
fof(f3324,plain,
( spl5_213
| ~ spl5_36
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1049,f556,f425,f3321]) ).
fof(f3321,plain,
( spl5_213
<=> xC = smndt0(smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_213])]) ).
fof(f1049,plain,
( xC = smndt0(smndt0(xC))
| ~ spl5_36
| ~ spl5_63 ),
inference(resolution,[],[f427,f557]) ).
fof(f3319,plain,
( spl5_212
| ~ spl5_15
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f874,f706,f307,f3317]) ).
fof(f874,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_87 ),
inference(resolution,[],[f707,f309]) ).
fof(f3315,plain,
( spl5_211
| ~ spl5_9
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f873,f706,f277,f3313]) ).
fof(f873,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_87 ),
inference(resolution,[],[f707,f279]) ).
fof(f3311,plain,
( spl5_210
| ~ spl5_8
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f872,f706,f272,f3309]) ).
fof(f872,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_87 ),
inference(resolution,[],[f707,f274]) ).
fof(f3307,plain,
( spl5_209
| ~ spl5_12
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f871,f706,f292,f3305]) ).
fof(f871,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_87 ),
inference(resolution,[],[f707,f294]) ).
fof(f3303,plain,
( spl5_208
| ~ spl5_13
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f870,f706,f297,f3301]) ).
fof(f870,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_87 ),
inference(resolution,[],[f707,f299]) ).
fof(f3299,plain,
( spl5_207
| ~ spl5_5
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f863,f697,f257,f3297]) ).
fof(f863,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_85 ),
inference(resolution,[],[f698,f259]) ).
fof(f3295,plain,
( spl5_206
| ~ spl5_10
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f862,f697,f282,f3293]) ).
fof(f862,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_85 ),
inference(resolution,[],[f698,f284]) ).
fof(f3291,plain,
( spl5_205
| ~ spl5_14
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f861,f697,f302,f3289]) ).
fof(f861,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_85 ),
inference(resolution,[],[f698,f304]) ).
fof(f3287,plain,
( spl5_204
| ~ spl5_11
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f860,f697,f287,f3285]) ).
fof(f860,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_85 ),
inference(resolution,[],[f698,f289]) ).
fof(f3283,plain,
( spl5_203
| ~ spl5_16
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f859,f697,f312,f3281]) ).
fof(f859,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_85 ),
inference(resolution,[],[f698,f314]) ).
fof(f3279,plain,
( spl5_202
| ~ spl5_36
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1048,f552,f425,f3276]) ).
fof(f1048,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_36
| ~ spl5_62 ),
inference(resolution,[],[f427,f553]) ).
fof(f3274,plain,
( spl5_201
| ~ spl5_6
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f858,f697,f262,f3272]) ).
fof(f858,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_85 ),
inference(resolution,[],[f698,f264]) ).
fof(f3270,plain,
( spl5_200
| ~ spl5_7
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f857,f697,f267,f3268]) ).
fof(f857,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_85 ),
inference(resolution,[],[f698,f269]) ).
fof(f3266,plain,
( spl5_199
| ~ spl5_15
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f856,f697,f307,f3264]) ).
fof(f856,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_85 ),
inference(resolution,[],[f698,f309]) ).
fof(f3262,plain,
( spl5_198
| ~ spl5_9
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f855,f697,f277,f3260]) ).
fof(f855,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_85 ),
inference(resolution,[],[f698,f279]) ).
fof(f3258,plain,
( spl5_197
| ~ spl5_8
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f854,f697,f272,f3256]) ).
fof(f854,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_85 ),
inference(resolution,[],[f698,f274]) ).
fof(f3254,plain,
( spl5_196
| ~ spl5_12
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f853,f697,f292,f3252]) ).
fof(f853,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_85 ),
inference(resolution,[],[f698,f294]) ).
fof(f3250,plain,
( spl5_195
| ~ spl5_13
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f852,f697,f297,f3248]) ).
fof(f852,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_85 ),
inference(resolution,[],[f698,f299]) ).
fof(f3246,plain,
( spl5_194
| ~ spl5_5
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f845,f693,f257,f3244]) ).
fof(f845,plain,
( ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) )
| ~ spl5_5
| ~ spl5_84 ),
inference(resolution,[],[f694,f259]) ).
fof(f3242,plain,
( spl5_193
| ~ spl5_10
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f844,f693,f282,f3240]) ).
fof(f844,plain,
( ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_84 ),
inference(resolution,[],[f694,f284]) ).
fof(f3238,plain,
( spl5_192
| ~ spl5_14
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f843,f693,f302,f3236]) ).
fof(f843,plain,
( ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_84 ),
inference(resolution,[],[f694,f304]) ).
fof(f3234,plain,
( spl5_191
| ~ spl5_36
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1047,f548,f425,f3231]) ).
fof(f3229,plain,
( spl5_190
| ~ spl5_11
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f842,f693,f287,f3227]) ).
fof(f842,plain,
( ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_84 ),
inference(resolution,[],[f694,f289]) ).
fof(f3225,plain,
( spl5_189
| ~ spl5_16
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f841,f693,f312,f3223]) ).
fof(f841,plain,
( ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_84 ),
inference(resolution,[],[f694,f314]) ).
fof(f3221,plain,
( spl5_188
| ~ spl5_6
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f840,f693,f262,f3219]) ).
fof(f840,plain,
( ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_84 ),
inference(resolution,[],[f694,f264]) ).
fof(f3217,plain,
( spl5_187
| ~ spl5_7
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f839,f693,f267,f3215]) ).
fof(f839,plain,
( ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_84 ),
inference(resolution,[],[f694,f269]) ).
fof(f3213,plain,
( spl5_186
| ~ spl5_15
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f838,f693,f307,f3211]) ).
fof(f838,plain,
( ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_84 ),
inference(resolution,[],[f694,f309]) ).
fof(f3209,plain,
( spl5_185
| ~ spl5_9
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f837,f693,f277,f3207]) ).
fof(f837,plain,
( ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_84 ),
inference(resolution,[],[f694,f279]) ).
fof(f3205,plain,
( spl5_184
| ~ spl5_8
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f836,f693,f272,f3203]) ).
fof(f836,plain,
( ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_84 ),
inference(resolution,[],[f694,f274]) ).
fof(f3201,plain,
( spl5_183
| ~ spl5_12
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f835,f693,f292,f3199]) ).
fof(f835,plain,
( ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_84 ),
inference(resolution,[],[f694,f294]) ).
fof(f3197,plain,
( spl5_182
| ~ spl5_13
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f834,f693,f297,f3195]) ).
fof(f834,plain,
( ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_84 ),
inference(resolution,[],[f694,f299]) ).
fof(f3193,plain,
( spl5_181
| ~ spl5_38
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f639,f630,f434,f3191]) ).
fof(f3191,plain,
( spl5_181
<=> ! [X0] :
( sdtlbdtrb0(xp,aDimensionOf0(X0)) = sdtlbdtrb0(xs,aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_181])]) ).
fof(f639,plain,
( ! [X0] :
( sdtlbdtrb0(xp,aDimensionOf0(X0)) = sdtlbdtrb0(xs,aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_38
| ~ spl5_75 ),
inference(resolution,[],[f631,f435]) ).
fof(f3189,plain,
( spl5_180
| ~ spl5_36
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1046,f544,f425,f3186]) ).
fof(f3186,plain,
( spl5_180
<=> xC = sdtpldt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_180])]) ).
fof(f1046,plain,
( xC = sdtpldt0(sz0z00,xC)
| ~ spl5_36
| ~ spl5_60 ),
inference(resolution,[],[f427,f545]) ).
fof(f3184,plain,
( spl5_179
| ~ spl5_37
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f638,f630,f430,f3182]) ).
fof(f3182,plain,
( spl5_179
<=> ! [X0] :
( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_179])]) ).
fof(f638,plain,
( ! [X0] :
( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37
| ~ spl5_75 ),
inference(resolution,[],[f631,f431]) ).
fof(f3180,plain,
( spl5_178
| ~ spl5_38
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f635,f626,f434,f3178]) ).
fof(f3178,plain,
( spl5_178
<=> ! [X0] :
( sdtlbdtrb0(xq,aDimensionOf0(X0)) = sdtlbdtrb0(xt,aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_178])]) ).
fof(f635,plain,
( ! [X0] :
( sdtlbdtrb0(xq,aDimensionOf0(X0)) = sdtlbdtrb0(xt,aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_38
| ~ spl5_74 ),
inference(resolution,[],[f627,f435]) ).
fof(f3176,plain,
( spl5_177
| ~ spl5_37
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f634,f626,f430,f3174]) ).
fof(f3174,plain,
( spl5_177
<=> ! [X0] :
( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_177])]) ).
fof(f634,plain,
( ! [X0] :
( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_37
| ~ spl5_74 ),
inference(resolution,[],[f627,f431]) ).
fof(f3111,plain,
( spl5_176
| ~ spl5_18
| ~ spl5_52
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f864,f697,f500,f322,f3109]) ).
fof(f864,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_52
| ~ spl5_85 ),
inference(forward_demodulation,[],[f847,f502]) ).
fof(f3008,plain,
( spl5_175
| ~ spl5_36
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1045,f540,f425,f3005]) ).
fof(f3005,plain,
( spl5_175
<=> xC = sdtpldt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_175])]) ).
fof(f1045,plain,
( xC = sdtpldt0(xC,sz0z00)
| ~ spl5_36
| ~ spl5_59 ),
inference(resolution,[],[f427,f541]) ).
fof(f2804,plain,
( spl5_174
| ~ spl5_35
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f953,f556,f419,f2801]) ).
fof(f2801,plain,
( spl5_174
<=> xB = smndt0(smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_174])]) ).
fof(f953,plain,
( xB = smndt0(smndt0(xB))
| ~ spl5_35
| ~ spl5_63 ),
inference(resolution,[],[f421,f557]) ).
fof(f2609,plain,
( spl5_173
| ~ spl5_35
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f952,f552,f419,f2606]) ).
fof(f952,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_35
| ~ spl5_62 ),
inference(resolution,[],[f421,f553]) ).
fof(f2467,plain,
( spl5_172
| ~ spl5_35
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f951,f548,f419,f2464]) ).
fof(f951,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_35
| ~ spl5_61 ),
inference(resolution,[],[f421,f549]) ).
fof(f2313,plain,
( spl5_171
| ~ spl5_35
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f950,f544,f419,f2310]) ).
fof(f2310,plain,
( spl5_171
<=> xB = sdtpldt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f950,plain,
( xB = sdtpldt0(sz0z00,xB)
| ~ spl5_35
| ~ spl5_60 ),
inference(resolution,[],[f421,f545]) ).
fof(f2135,plain,
( ~ spl5_51
| ~ spl5_110 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2106,plain,
( $false
| ~ spl5_51
| ~ spl5_110 ),
inference(resolution,[],[f498,f1207]) ).
fof(f498,plain,
( ! [X0] : ~ sP2(X0)
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl5_51
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f2134,plain,
( ~ spl5_24
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2111]) ).
fof(f2111,plain,
( $false
| ~ spl5_24
| ~ spl5_51 ),
inference(resolution,[],[f498,f366]) ).
fof(f2133,plain,
( ~ spl5_35
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| ~ spl5_35
| ~ spl5_51 ),
inference(resolution,[],[f498,f421]) ).
fof(f2132,plain,
( ~ spl5_36
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2113,plain,
( $false
| ~ spl5_36
| ~ spl5_51 ),
inference(resolution,[],[f498,f427]) ).
fof(f2131,plain,
( ~ spl5_42
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2114,plain,
( $false
| ~ spl5_42
| ~ spl5_51 ),
inference(resolution,[],[f498,f454]) ).
fof(f2130,plain,
( ~ spl5_48
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2115]) ).
fof(f2115,plain,
( $false
| ~ spl5_48
| ~ spl5_51 ),
inference(resolution,[],[f498,f486]) ).
fof(f2129,plain,
( ~ spl5_51
| ~ spl5_55 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2116,plain,
( $false
| ~ spl5_51
| ~ spl5_55 ),
inference(resolution,[],[f498,f524]) ).
fof(f2128,plain,
( ~ spl5_51
| ~ spl5_64 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2117,plain,
( $false
| ~ spl5_51
| ~ spl5_64 ),
inference(resolution,[],[f498,f562]) ).
fof(f2127,plain,
( ~ spl5_51
| ~ spl5_68 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2118,plain,
( $false
| ~ spl5_51
| ~ spl5_68 ),
inference(resolution,[],[f498,f583]) ).
fof(f2126,plain,
( ~ spl5_51
| ~ spl5_73 ),
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2119,plain,
( $false
| ~ spl5_51
| ~ spl5_73 ),
inference(resolution,[],[f498,f613]) ).
fof(f2125,plain,
( ~ spl5_51
| ~ spl5_79 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl5_51
| ~ spl5_79 ),
inference(resolution,[],[f498,f659]) ).
fof(f2124,plain,
( ~ spl5_51
| ~ spl5_86 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
fof(f2121,plain,
( $false
| ~ spl5_51
| ~ spl5_86 ),
inference(resolution,[],[f498,f703]) ).
fof(f2123,plain,
( ~ spl5_51
| ~ spl5_91 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2122,plain,
( $false
| ~ spl5_51
| ~ spl5_91 ),
inference(resolution,[],[f498,f771]) ).
fof(f2105,plain,
( spl5_170
| ~ spl5_18
| ~ spl5_52
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f846,f693,f500,f322,f2103]) ).
fof(f846,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_18
| ~ spl5_52
| ~ spl5_84 ),
inference(forward_demodulation,[],[f829,f502]) ).
fof(f2101,plain,
( spl5_169
| ~ spl5_35
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f949,f540,f419,f2098]) ).
fof(f2098,plain,
( spl5_169
<=> xB = sdtpldt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f949,plain,
( xB = sdtpldt0(xB,sz0z00)
| ~ spl5_35
| ~ spl5_59 ),
inference(resolution,[],[f421,f541]) ).
fof(f2029,plain,
( spl5_168
| ~ spl5_18
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f808,f805,f322,f2027]) ).
fof(f808,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_18
| ~ spl5_92 ),
inference(resolution,[],[f806,f324]) ).
fof(f2025,plain,
( spl5_167
| ~ spl5_18
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f787,f717,f322,f2023]) ).
fof(f787,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_18
| ~ spl5_90 ),
inference(resolution,[],[f718,f324]) ).
fof(f2021,plain,
( spl5_166
| ~ spl5_53
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f651,f646,f506,f2019]) ).
fof(f2019,plain,
( spl5_166
<=> ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f646,plain,
( spl5_77
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f651,plain,
( ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) )
| ~ spl5_53
| ~ spl5_77 ),
inference(resolution,[],[f647,f507]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) )
| ~ spl5_77 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f1939,plain,
( spl5_165
| ~ spl5_24
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f896,f556,f364,f1936]) ).
fof(f1936,plain,
( spl5_165
<=> xA = smndt0(smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f896,plain,
( xA = smndt0(smndt0(xA))
| ~ spl5_24
| ~ spl5_63 ),
inference(resolution,[],[f366,f557]) ).
fof(f1736,plain,
( spl5_164
| ~ spl5_24
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f895,f552,f364,f1733]) ).
fof(f895,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_24
| ~ spl5_62 ),
inference(resolution,[],[f366,f553]) ).
fof(f1541,plain,
( spl5_163
| ~ spl5_24
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f894,f548,f364,f1538]) ).
fof(f894,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_24
| ~ spl5_61 ),
inference(resolution,[],[f366,f549]) ).
fof(f1536,plain,
( spl5_162
| ~ spl5_5
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f824,f805,f257,f1534]) ).
fof(f824,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) )
| ~ spl5_5
| ~ spl5_92 ),
inference(resolution,[],[f806,f259]) ).
fof(f1532,plain,
( spl5_161
| ~ spl5_10
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f823,f805,f282,f1530]) ).
fof(f823,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_10
| ~ spl5_92 ),
inference(resolution,[],[f806,f284]) ).
fof(f1528,plain,
( spl5_160
| ~ spl5_14
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f822,f805,f302,f1526]) ).
fof(f822,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_14
| ~ spl5_92 ),
inference(resolution,[],[f806,f304]) ).
fof(f1524,plain,
( spl5_159
| ~ spl5_11
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f821,f805,f287,f1522]) ).
fof(f821,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_11
| ~ spl5_92 ),
inference(resolution,[],[f806,f289]) ).
fof(f1520,plain,
( spl5_158
| ~ spl5_16
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f820,f805,f312,f1518]) ).
fof(f820,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_16
| ~ spl5_92 ),
inference(resolution,[],[f806,f314]) ).
fof(f1516,plain,
( spl5_157
| ~ spl5_6
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f819,f805,f262,f1514]) ).
fof(f819,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_6
| ~ spl5_92 ),
inference(resolution,[],[f806,f264]) ).
fof(f1512,plain,
( spl5_156
| ~ spl5_7
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f818,f805,f267,f1510]) ).
fof(f818,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_7
| ~ spl5_92 ),
inference(resolution,[],[f806,f269]) ).
fof(f1508,plain,
( spl5_155
| ~ spl5_15
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f817,f805,f307,f1506]) ).
fof(f817,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_15
| ~ spl5_92 ),
inference(resolution,[],[f806,f309]) ).
fof(f1504,plain,
( spl5_154
| ~ spl5_9
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f816,f805,f277,f1502]) ).
fof(f816,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_9
| ~ spl5_92 ),
inference(resolution,[],[f806,f279]) ).
fof(f1500,plain,
( spl5_153
| ~ spl5_8
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f815,f805,f272,f1498]) ).
fof(f815,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_8
| ~ spl5_92 ),
inference(resolution,[],[f806,f274]) ).
fof(f1496,plain,
( spl5_152
| ~ spl5_24
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f893,f544,f364,f1493]) ).
fof(f1493,plain,
( spl5_152
<=> xA = sdtpldt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f893,plain,
( xA = sdtpldt0(sz0z00,xA)
| ~ spl5_24
| ~ spl5_60 ),
inference(resolution,[],[f366,f545]) ).
fof(f1491,plain,
( spl5_151
| ~ spl5_12
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f814,f805,f292,f1489]) ).
fof(f814,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_12
| ~ spl5_92 ),
inference(resolution,[],[f806,f294]) ).
fof(f1487,plain,
( spl5_150
| ~ spl5_13
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f813,f805,f297,f1485]) ).
fof(f813,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_13
| ~ spl5_92 ),
inference(resolution,[],[f806,f299]) ).
fof(f1483,plain,
( spl5_149
| ~ spl5_5
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f803,f717,f257,f1481]) ).
fof(f803,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) )
| ~ spl5_5
| ~ spl5_90 ),
inference(resolution,[],[f718,f259]) ).
fof(f1479,plain,
( spl5_148
| ~ spl5_10
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f802,f717,f282,f1477]) ).
fof(f802,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_10
| ~ spl5_90 ),
inference(resolution,[],[f718,f284]) ).
fof(f1475,plain,
( spl5_147
| ~ spl5_14
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f801,f717,f302,f1473]) ).
fof(f801,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_14
| ~ spl5_90 ),
inference(resolution,[],[f718,f304]) ).
fof(f1471,plain,
( spl5_146
| ~ spl5_11
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f800,f717,f287,f1469]) ).
fof(f800,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_11
| ~ spl5_90 ),
inference(resolution,[],[f718,f289]) ).
fof(f1467,plain,
( spl5_145
| ~ spl5_16
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f799,f717,f312,f1465]) ).
fof(f799,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_16
| ~ spl5_90 ),
inference(resolution,[],[f718,f314]) ).
fof(f1463,plain,
( spl5_144
| ~ spl5_6
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f798,f717,f262,f1461]) ).
fof(f798,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_6
| ~ spl5_90 ),
inference(resolution,[],[f718,f264]) ).
fof(f1456,plain,
( ~ spl5_2
| ~ spl5_38
| spl5_133 ),
inference(avatar_split_clause,[],[f1381,f1373,f434,f242]) ).
fof(f1381,plain,
( ~ aVector0(xp)
| ~ spl5_38
| spl5_133 ),
inference(resolution,[],[f1375,f435]) ).
fof(f1375,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| spl5_133 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1455,plain,
( spl5_143
| ~ spl5_7
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f797,f717,f267,f1453]) ).
fof(f797,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_7
| ~ spl5_90 ),
inference(resolution,[],[f718,f269]) ).
fof(f1451,plain,
( spl5_142
| ~ spl5_15
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f796,f717,f307,f1449]) ).
fof(f796,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_15
| ~ spl5_90 ),
inference(resolution,[],[f718,f309]) ).
fof(f1447,plain,
( spl5_141
| ~ spl5_9
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f795,f717,f277,f1445]) ).
fof(f795,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_9
| ~ spl5_90 ),
inference(resolution,[],[f718,f279]) ).
fof(f1443,plain,
( spl5_140
| ~ spl5_8
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f794,f717,f272,f1441]) ).
fof(f794,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_8
| ~ spl5_90 ),
inference(resolution,[],[f718,f274]) ).
fof(f1439,plain,
( spl5_139
| ~ spl5_12
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f793,f717,f292,f1437]) ).
fof(f793,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_12
| ~ spl5_90 ),
inference(resolution,[],[f718,f294]) ).
fof(f1435,plain,
( spl5_138
| ~ spl5_13
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f792,f717,f297,f1433]) ).
fof(f792,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_13
| ~ spl5_90 ),
inference(resolution,[],[f718,f299]) ).
fof(f1405,plain,
( ~ spl5_1
| ~ spl5_38
| spl5_131 ),
inference(avatar_split_clause,[],[f1371,f1363,f434,f237]) ).
fof(f1371,plain,
( ~ aVector0(xq)
| ~ spl5_38
| spl5_131 ),
inference(resolution,[],[f1365,f435]) ).
fof(f1365,plain,
( ~ aNaturalNumber0(aDimensionOf0(xq))
| spl5_131 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1393,plain,
( spl5_137
| ~ spl5_22
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f615,f598,f342,f1391]) ).
fof(f1391,plain,
( spl5_137
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f615,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl5_22
| ~ spl5_72 ),
inference(resolution,[],[f599,f343]) ).
fof(f1389,plain,
( spl5_136
| ~ spl5_22
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f609,f594,f342,f1387]) ).
fof(f1387,plain,
( spl5_136
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl5_22
| ~ spl5_71 ),
inference(resolution,[],[f595,f343]) ).
fof(f1385,plain,
( spl5_135
| ~ spl5_22
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f606,f590,f342,f1383]) ).
fof(f1383,plain,
( spl5_135
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f606,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl5_22
| ~ spl5_70 ),
inference(resolution,[],[f591,f343]) ).
fof(f1380,plain,
( ~ spl5_133
| spl5_134
| ~ spl5_46
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f510,f489,f472,f1377,f1373]) ).
fof(f1377,plain,
( spl5_134
<=> iLess0(aDimensionOf0(xp),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f489,plain,
( spl5_49
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f510,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ spl5_46
| ~ spl5_49 ),
inference(superposition,[],[f490,f474]) ).
fof(f490,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1370,plain,
( ~ spl5_131
| spl5_132
| ~ spl5_44
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f509,f489,f462,f1367,f1363]) ).
fof(f1367,plain,
( spl5_132
<=> iLess0(aDimensionOf0(xq),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f509,plain,
( iLess0(aDimensionOf0(xq),aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ spl5_44
| ~ spl5_49 ),
inference(superposition,[],[f490,f464]) ).
fof(f1361,plain,
( spl5_130
| ~ spl5_24
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f892,f540,f364,f1358]) ).
fof(f1358,plain,
( spl5_130
<=> xA = sdtpldt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f892,plain,
( xA = sdtpldt0(xA,sz0z00)
| ~ spl5_24
| ~ spl5_59 ),
inference(resolution,[],[f366,f541]) ).
fof(f1354,plain,
( spl5_129
| ~ spl5_17
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f637,f630,f317,f1351]) ).
fof(f1351,plain,
( spl5_129
<=> sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f317,plain,
( spl5_17
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f637,plain,
( sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00)
| ~ spl5_17
| ~ spl5_75 ),
inference(resolution,[],[f631,f319]) ).
fof(f319,plain,
( aNaturalNumber0(sz00)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f1349,plain,
( spl5_128
| ~ spl5_17
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f633,f626,f317,f1346]) ).
fof(f1346,plain,
( spl5_128
<=> sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f633,plain,
( sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00)
| ~ spl5_17
| ~ spl5_74 ),
inference(resolution,[],[f627,f319]) ).
fof(f1331,plain,
( spl5_127
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f828,f689,f1329]) ).
fof(f828,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_83 ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f827,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_83 ),
inference(equality_resolution,[],[f690]) ).
fof(f1322,plain,
( spl5_115
| spl5_111
| ~ spl5_3
| ~ spl5_23
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f605,f569,f359,f247,f1220,f1244]) ).
fof(f1244,plain,
( spl5_115
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f569,plain,
( spl5_65
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f605,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xs)
| ~ spl5_3
| ~ spl5_23
| ~ spl5_65 ),
inference(forward_demodulation,[],[f601,f361]) ).
fof(f601,plain,
( sz00 = aDimensionOf0(xs)
| sP1(xs)
| ~ spl5_3
| ~ spl5_65 ),
inference(resolution,[],[f570,f249]) ).
fof(f249,plain,
( aVector0(xs)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f570,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sP1(X0) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f1321,plain,
( spl5_125
| spl5_126
| ~ spl5_1
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f604,f569,f237,f1318,f1314]) ).
fof(f1314,plain,
( spl5_125
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f1318,plain,
( spl5_126
<=> sz00 = aDimensionOf0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f604,plain,
( sz00 = aDimensionOf0(xq)
| sP1(xq)
| ~ spl5_1
| ~ spl5_65 ),
inference(resolution,[],[f570,f239]) ).
fof(f239,plain,
( aVector0(xq)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1312,plain,
( spl5_123
| spl5_124
| ~ spl5_2
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f603,f569,f242,f1309,f1305]) ).
fof(f1305,plain,
( spl5_123
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f1309,plain,
( spl5_124
<=> sz00 = aDimensionOf0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f603,plain,
( sz00 = aDimensionOf0(xp)
| sP1(xp)
| ~ spl5_2
| ~ spl5_65 ),
inference(resolution,[],[f570,f244]) ).
fof(f244,plain,
( aVector0(xp)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f1299,plain,
( spl5_113
| spl5_111
| ~ spl5_4
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f602,f569,f252,f1220,f1235]) ).
fof(f1235,plain,
( spl5_113
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f602,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xt)
| ~ spl5_4
| ~ spl5_65 ),
inference(resolution,[],[f570,f254]) ).
fof(f254,plain,
( aVector0(xt)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f1287,plain,
( spl5_122
| ~ spl5_39
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f513,f506,f438,f1285]) ).
fof(f1285,plain,
( spl5_122
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f438,plain,
( spl5_39
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f513,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl5_39
| ~ spl5_53 ),
inference(resolution,[],[f507,f439]) ).
fof(f439,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f1283,plain,
( spl5_121
| ~ spl5_22
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f450,f442,f342,f1281]) ).
fof(f1281,plain,
( spl5_121
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f450,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_22
| ~ spl5_40 ),
inference(resolution,[],[f443,f343]) ).
fof(f1277,plain,
( ~ spl5_12
| spl5_120
| ~ spl5_26
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f567,f536,f374,f1274,f292]) ).
fof(f567,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB)
| ~ spl5_26
| ~ spl5_58 ),
inference(superposition,[],[f537,f376]) ).
fof(f1270,plain,
( ~ spl5_13
| spl5_119
| ~ spl5_27
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f566,f536,f379,f1267,f297]) ).
fof(f566,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA)
| ~ spl5_27
| ~ spl5_58 ),
inference(superposition,[],[f537,f381]) ).
fof(f1263,plain,
( ~ spl5_1
| spl5_118
| ~ spl5_29
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f565,f532,f389,f1260,f237]) ).
fof(f389,plain,
( spl5_29
<=> xD = sdtasasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f565,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq)
| ~ spl5_29
| ~ spl5_57 ),
inference(superposition,[],[f533,f391]) ).
fof(f391,plain,
( xD = sdtasasdt0(xq,xq)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1256,plain,
( ~ spl5_2
| spl5_117
| ~ spl5_28
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f564,f532,f384,f1253,f242]) ).
fof(f384,plain,
( spl5_28
<=> xC = sdtasasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f564,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp)
| ~ spl5_28
| ~ spl5_57 ),
inference(superposition,[],[f533,f386]) ).
fof(f386,plain,
( xC = sdtasasdt0(xp,xp)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f1251,plain,
( ~ spl5_115
| spl5_116
| ~ spl5_21
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f515,f506,f337,f1248,f1244]) ).
fof(f1248,plain,
( spl5_116
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f515,plain,
( sP0(xs,xp)
| ~ sP1(xs)
| ~ spl5_21
| ~ spl5_53 ),
inference(superposition,[],[f507,f339]) ).
fof(f1242,plain,
( ~ spl5_113
| spl5_114
| ~ spl5_20
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f514,f506,f332,f1239,f1235]) ).
fof(f1239,plain,
( spl5_114
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f332,plain,
( spl5_20
<=> xq = sziznziztdt0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f514,plain,
( sP0(xt,xq)
| ~ sP1(xt)
| ~ spl5_20
| ~ spl5_53 ),
inference(superposition,[],[f507,f334]) ).
fof(f334,plain,
( xq = sziznziztdt0(xt)
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f1228,plain,
( ~ spl5_3
| spl5_112
| ~ spl5_23
| ~ spl5_38 ),
inference(avatar_split_clause,[],[f449,f434,f359,f1225,f247]) ).
fof(f449,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ spl5_23
| ~ spl5_38 ),
inference(superposition,[],[f435,f361]) ).
fof(f1223,plain,
( ~ spl5_111
| spl5_19
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f423,f359,f327,f1220]) ).
fof(f327,plain,
( spl5_19
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f423,plain,
( sz00 != aDimensionOf0(xt)
| spl5_19
| ~ spl5_23 ),
inference(superposition,[],[f329,f361]) ).
fof(f329,plain,
( sz00 != aDimensionOf0(xs)
| spl5_19 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f1208,plain,
( spl5_110
| ~ spl5_18
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f345,f342,f322,f1205]) ).
fof(f345,plain,
( sP2(sz0z00)
| ~ spl5_18
| ~ spl5_22 ),
inference(resolution,[],[f343,f324]) ).
fof(f1139,plain,
spl5_109,
inference(avatar_split_clause,[],[f209,f1137]) ).
fof(f209,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,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f1118,plain,
spl5_108,
inference(avatar_split_clause,[],[f228,f1116]) ).
fof(f228,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,[],[f117]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f1103,plain,
spl5_107,
inference(avatar_split_clause,[],[f234,f1101]) ).
fof(f234,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,[],[f175,f138]) ).
fof(f138,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f175,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,[],[f69]) ).
fof(f69,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,[],[f68]) ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f1079,plain,
spl5_106,
inference(avatar_split_clause,[],[f230,f1077]) ).
fof(f230,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,[],[f121]) ).
fof(f121,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,[],[f120]) ).
fof(f120,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/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f1074,plain,
spl5_105,
inference(avatar_split_clause,[],[f189,f1072]) ).
fof(f189,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,[],[f132]) ).
fof(f132,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])],[f130,f131]) ).
fof(f131,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(f130,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,[],[f129]) ).
fof(f129,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,[],[f128]) ).
fof(f128,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,[],[f122]) ).
fof(f122,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(f1067,plain,
spl5_104,
inference(avatar_split_clause,[],[f229,f1065]) ).
fof(f229,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,[],[f119]) ).
fof(f119,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,[],[f118]) ).
fof(f118,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/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f1044,plain,
spl5_103,
inference(avatar_split_clause,[],[f218,f1042]) ).
fof(f1042,plain,
( spl5_103
<=> ! [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_103])]) ).
fof(f218,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f1040,plain,
spl5_102,
inference(avatar_split_clause,[],[f208,f1038]) ).
fof(f208,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,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/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f1002,plain,
spl5_101,
inference(avatar_split_clause,[],[f226,f1000]) ).
fof(f226,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,[],[f113]) ).
fof(f113,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,[],[f112]) ).
fof(f112,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/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f998,plain,
spl5_100,
inference(avatar_split_clause,[],[f225,f996]) ).
fof(f225,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,[],[f113]) ).
fof(f959,plain,
spl5_99,
inference(avatar_split_clause,[],[f235,f957]) ).
fof(f957,plain,
( spl5_99
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f235,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,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/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f948,plain,
spl5_98,
inference(avatar_split_clause,[],[f223,f946]) ).
fof(f223,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,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,[],[f110]) ).
fof(f110,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/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f944,plain,
spl5_97,
inference(avatar_split_clause,[],[f221,f942]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f914,plain,
spl5_96,
inference(avatar_split_clause,[],[f227,f912]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,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/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f910,plain,
spl5_95,
inference(avatar_split_clause,[],[f220,f908]) ).
fof(f220,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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,[],[f108]) ).
fof(f108,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/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f906,plain,
spl5_94,
inference(avatar_split_clause,[],[f219,f904]) ).
fof(f219,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f902,plain,
spl5_93,
inference(avatar_split_clause,[],[f188,f900]) ).
fof(f188,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f807,plain,
( spl5_89
| spl5_92 ),
inference(avatar_split_clause,[],[f224,f805,f714]) ).
fof(f714,plain,
( spl5_89
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f772,plain,
( spl5_91
| ~ spl5_5
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f357,f342,f257,f769]) ).
fof(f357,plain,
( sP2(xN)
| ~ spl5_5
| ~ spl5_22 ),
inference(resolution,[],[f343,f259]) ).
fof(f746,plain,
( ~ spl5_18
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl5_18
| ~ spl5_89 ),
inference(resolution,[],[f715,f324]) ).
fof(f715,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f745,plain,
( ~ spl5_13
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl5_13
| ~ spl5_89 ),
inference(resolution,[],[f715,f299]) ).
fof(f744,plain,
( ~ spl5_12
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl5_12
| ~ spl5_89 ),
inference(resolution,[],[f715,f294]) ).
fof(f743,plain,
( ~ spl5_8
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl5_8
| ~ spl5_89 ),
inference(resolution,[],[f715,f274]) ).
fof(f742,plain,
( ~ spl5_9
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f725,plain,
( $false
| ~ spl5_9
| ~ spl5_89 ),
inference(resolution,[],[f715,f279]) ).
fof(f741,plain,
( ~ spl5_15
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl5_15
| ~ spl5_89 ),
inference(resolution,[],[f715,f309]) ).
fof(f740,plain,
( ~ spl5_7
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl5_7
| ~ spl5_89 ),
inference(resolution,[],[f715,f269]) ).
fof(f739,plain,
( ~ spl5_6
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl5_6
| ~ spl5_89 ),
inference(resolution,[],[f715,f264]) ).
fof(f738,plain,
( ~ spl5_16
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f729,plain,
( $false
| ~ spl5_16
| ~ spl5_89 ),
inference(resolution,[],[f715,f314]) ).
fof(f737,plain,
( ~ spl5_11
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| ~ spl5_11
| ~ spl5_89 ),
inference(resolution,[],[f715,f289]) ).
fof(f736,plain,
( ~ spl5_14
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl5_14
| ~ spl5_89 ),
inference(resolution,[],[f715,f304]) ).
fof(f735,plain,
( ~ spl5_10
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| ~ spl5_10
| ~ spl5_89 ),
inference(resolution,[],[f715,f284]) ).
fof(f734,plain,
( ~ spl5_5
| ~ spl5_89 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| ~ spl5_5
| ~ spl5_89 ),
inference(resolution,[],[f715,f259]) ).
fof(f719,plain,
( spl5_89
| spl5_90 ),
inference(avatar_split_clause,[],[f222,f717,f714]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f712,plain,
spl5_88,
inference(avatar_split_clause,[],[f217,f710]) ).
fof(f217,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f708,plain,
spl5_87,
inference(avatar_split_clause,[],[f215,f706]) ).
fof(f215,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f704,plain,
( spl5_86
| ~ spl5_10
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f356,f342,f282,f701]) ).
fof(f356,plain,
( sP2(xS)
| ~ spl5_10
| ~ spl5_22 ),
inference(resolution,[],[f343,f284]) ).
fof(f699,plain,
spl5_85,
inference(avatar_split_clause,[],[f214,f697]) ).
fof(f214,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f695,plain,
spl5_84,
inference(avatar_split_clause,[],[f213,f693]) ).
fof(f213,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f691,plain,
spl5_83,
inference(avatar_split_clause,[],[f207,f689]) ).
fof(f207,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f680,plain,
spl5_82,
inference(avatar_split_clause,[],[f205,f678]) ).
fof(f205,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f676,plain,
spl5_81,
inference(avatar_split_clause,[],[f187,f674]) ).
fof(f187,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f664,plain,
spl5_80,
inference(avatar_split_clause,[],[f216,f662]) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f660,plain,
( spl5_79
| ~ spl5_14
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f355,f342,f302,f657]) ).
fof(f355,plain,
( sP2(xP)
| ~ spl5_14
| ~ spl5_22 ),
inference(resolution,[],[f343,f304]) ).
fof(f655,plain,
spl5_78,
inference(avatar_split_clause,[],[f204,f653]) ).
fof(f204,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f81,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f648,plain,
spl5_77,
inference(avatar_split_clause,[],[f186,f646]) ).
fof(f186,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f644,plain,
spl5_76,
inference(avatar_split_clause,[],[f184,f642]) ).
fof(f642,plain,
( spl5_76
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f184,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f632,plain,
spl5_75,
inference(avatar_split_clause,[],[f147,f630]) ).
fof(f147,plain,
! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f628,plain,
spl5_74,
inference(avatar_split_clause,[],[f143,f626]) ).
fof(f143,plain,
! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f614,plain,
( spl5_73
| ~ spl5_11
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f354,f342,f287,f611]) ).
fof(f354,plain,
( sP2(xR)
| ~ spl5_11
| ~ spl5_22 ),
inference(resolution,[],[f343,f289]) ).
fof(f600,plain,
spl5_72,
inference(avatar_split_clause,[],[f212,f598]) ).
fof(f212,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f596,plain,
spl5_71,
inference(avatar_split_clause,[],[f211,f594]) ).
fof(f211,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,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/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f592,plain,
spl5_70,
inference(avatar_split_clause,[],[f206,f590]) ).
fof(f206,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f588,plain,
spl5_69,
inference(avatar_split_clause,[],[f203,f586]) ).
fof(f203,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f584,plain,
( spl5_68
| ~ spl5_16
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f353,f342,f312,f581]) ).
fof(f353,plain,
( sP2(xH)
| ~ spl5_16
| ~ spl5_22 ),
inference(resolution,[],[f343,f314]) ).
fof(f579,plain,
spl5_67,
inference(avatar_split_clause,[],[f199,f577]) ).
fof(f199,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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,[],[f125]) ).
fof(f125,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(f575,plain,
spl5_66,
inference(avatar_split_clause,[],[f198,f573]) ).
fof(f198,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f571,plain,
spl5_65,
inference(avatar_split_clause,[],[f190,f569]) ).
fof(f190,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f75,f123,f122]) ).
fof(f75,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,[],[f74]) ).
fof(f74,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/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f563,plain,
( spl5_64
| ~ spl5_6
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f352,f342,f262,f560]) ).
fof(f352,plain,
( sP2(xG)
| ~ spl5_6
| ~ spl5_22 ),
inference(resolution,[],[f343,f264]) ).
fof(f558,plain,
spl5_63,
inference(avatar_split_clause,[],[f200,f556]) ).
fof(f200,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f554,plain,
spl5_62,
inference(avatar_split_clause,[],[f197,f552]) ).
fof(f197,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f550,plain,
spl5_61,
inference(avatar_split_clause,[],[f196,f548]) ).
fof(f196,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f546,plain,
spl5_60,
inference(avatar_split_clause,[],[f195,f544]) ).
fof(f195,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f542,plain,
spl5_59,
inference(avatar_split_clause,[],[f194,f540]) ).
fof(f194,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f538,plain,
spl5_58,
inference(avatar_split_clause,[],[f193,f536]) ).
fof(f193,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f534,plain,
spl5_57,
inference(avatar_split_clause,[],[f182,f532]) ).
fof(f182,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,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/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f530,plain,
spl5_56,
inference(avatar_split_clause,[],[f140,f527]) ).
fof(f140,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/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f525,plain,
( spl5_55
| ~ spl5_7
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f351,f342,f267,f522]) ).
fof(f351,plain,
( sP2(xF)
| ~ spl5_7
| ~ spl5_22 ),
inference(resolution,[],[f343,f269]) ).
fof(f520,plain,
spl5_54,
inference(avatar_split_clause,[],[f139,f517]) ).
fof(f139,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/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(f508,plain,
spl5_53,
inference(avatar_split_clause,[],[f231,f506]) ).
fof(f231,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f503,plain,
( spl5_51
| spl5_52 ),
inference(avatar_split_clause,[],[f201,f500,f497]) ).
fof(f201,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f495,plain,
spl5_50,
inference(avatar_split_clause,[],[f180,f493]) ).
fof(f493,plain,
( spl5_50
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f180,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f491,plain,
spl5_49,
inference(avatar_split_clause,[],[f178,f489]) ).
fof(f178,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f487,plain,
( spl5_48
| ~ spl5_15
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f350,f342,f307,f484]) ).
fof(f350,plain,
( sP2(xE)
| ~ spl5_15
| ~ spl5_22 ),
inference(resolution,[],[f343,f309]) ).
fof(f480,plain,
spl5_47,
inference(avatar_split_clause,[],[f233,f477]) ).
fof(f233,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xt)),
inference(forward_demodulation,[],[f168,f138]) ).
fof(f168,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f475,plain,
spl5_46,
inference(avatar_split_clause,[],[f232,f472]) ).
fof(f232,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)),
inference(forward_demodulation,[],[f146,f138]) ).
fof(f146,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f67]) ).
fof(f470,plain,
spl5_45,
inference(avatar_split_clause,[],[f166,f467]) ).
fof(f166,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f465,plain,
spl5_44,
inference(avatar_split_clause,[],[f142,f462]) ).
fof(f142,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f66]) ).
fof(f460,plain,
~ spl5_43,
inference(avatar_split_clause,[],[f136,f457]) ).
fof(f136,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/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f455,plain,
( spl5_42
| ~ spl5_9
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f349,f342,f277,f452]) ).
fof(f349,plain,
( sP2(xD)
| ~ spl5_9
| ~ spl5_22 ),
inference(resolution,[],[f343,f279]) ).
fof(f448,plain,
spl5_41,
inference(avatar_split_clause,[],[f192,f446]) ).
fof(f192,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f444,plain,
spl5_40,
inference(avatar_split_clause,[],[f191,f442]) ).
fof(f191,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f440,plain,
spl5_39,
inference(avatar_split_clause,[],[f185,f438]) ).
fof(f185,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f436,plain,
spl5_38,
inference(avatar_split_clause,[],[f181,f434]) ).
fof(f181,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f432,plain,
spl5_37,
inference(avatar_split_clause,[],[f179,f430]) ).
fof(f179,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f428,plain,
( spl5_36
| ~ spl5_8
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f348,f342,f272,f425]) ).
fof(f348,plain,
( sP2(xC)
| ~ spl5_8
| ~ spl5_22 ),
inference(resolution,[],[f343,f274]) ).
fof(f422,plain,
( spl5_35
| ~ spl5_12
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f347,f342,f292,f419]) ).
fof(f347,plain,
( sP2(xB)
| ~ spl5_12
| ~ spl5_22 ),
inference(resolution,[],[f343,f294]) ).
fof(f417,plain,
spl5_34,
inference(avatar_split_clause,[],[f174,f414]) ).
fof(f174,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f412,plain,
spl5_33,
inference(avatar_split_clause,[],[f172,f409]) ).
fof(f409,plain,
( spl5_33
<=> xE = sdtasasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f172,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f407,plain,
spl5_32,
inference(avatar_split_clause,[],[f170,f404]) ).
fof(f170,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f402,plain,
spl5_31,
inference(avatar_split_clause,[],[f164,f399]) ).
fof(f164,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f397,plain,
spl5_30,
inference(avatar_split_clause,[],[f162,f394]) ).
fof(f162,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f392,plain,
spl5_29,
inference(avatar_split_clause,[],[f160,f389]) ).
fof(f160,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f387,plain,
spl5_28,
inference(avatar_split_clause,[],[f158,f384]) ).
fof(f158,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f382,plain,
spl5_27,
inference(avatar_split_clause,[],[f156,f379]) ).
fof(f156,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f377,plain,
spl5_26,
inference(avatar_split_clause,[],[f154,f374]) ).
fof(f154,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f372,plain,
spl5_25,
inference(avatar_split_clause,[],[f152,f369]) ).
fof(f152,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f367,plain,
( spl5_24
| ~ spl5_13
| ~ spl5_22 ),
inference(avatar_split_clause,[],[f346,f342,f297,f364]) ).
fof(f346,plain,
( sP2(xA)
| ~ spl5_13
| ~ spl5_22 ),
inference(resolution,[],[f343,f299]) ).
fof(f362,plain,
spl5_23,
inference(avatar_split_clause,[],[f138,f359]) ).
fof(f344,plain,
spl5_22,
inference(avatar_split_clause,[],[f202,f342]) ).
fof(f202,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f79,f125]) ).
fof(f79,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/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f340,plain,
spl5_21,
inference(avatar_split_clause,[],[f148,f337]) ).
fof(f148,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f67]) ).
fof(f335,plain,
spl5_20,
inference(avatar_split_clause,[],[f144,f332]) ).
fof(f144,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f66]) ).
fof(f330,plain,
~ spl5_19,
inference(avatar_split_clause,[],[f137,f327]) ).
fof(f137,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f325,plain,
spl5_18,
inference(avatar_split_clause,[],[f177,f322]) ).
fof(f177,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f320,plain,
spl5_17,
inference(avatar_split_clause,[],[f176,f317]) ).
fof(f176,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f315,plain,
spl5_16,
inference(avatar_split_clause,[],[f173,f312]) ).
fof(f173,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f310,plain,
spl5_15,
inference(avatar_split_clause,[],[f171,f307]) ).
fof(f171,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f305,plain,
spl5_14,
inference(avatar_split_clause,[],[f169,f302]) ).
fof(f169,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f300,plain,
spl5_13,
inference(avatar_split_clause,[],[f167,f297]) ).
fof(f167,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f295,plain,
spl5_12,
inference(avatar_split_clause,[],[f165,f292]) ).
fof(f165,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f290,plain,
spl5_11,
inference(avatar_split_clause,[],[f163,f287]) ).
fof(f163,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f285,plain,
spl5_10,
inference(avatar_split_clause,[],[f161,f282]) ).
fof(f161,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f280,plain,
spl5_9,
inference(avatar_split_clause,[],[f159,f277]) ).
fof(f159,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f275,plain,
spl5_8,
inference(avatar_split_clause,[],[f157,f272]) ).
fof(f157,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f270,plain,
spl5_7,
inference(avatar_split_clause,[],[f155,f267]) ).
fof(f155,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f265,plain,
spl5_6,
inference(avatar_split_clause,[],[f153,f262]) ).
fof(f153,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f260,plain,
spl5_5,
inference(avatar_split_clause,[],[f151,f257]) ).
fof(f151,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f255,plain,
spl5_4,
inference(avatar_split_clause,[],[f150,f252]) ).
fof(f150,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f250,plain,
spl5_3,
inference(avatar_split_clause,[],[f149,f247]) ).
fof(f149,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f245,plain,
spl5_2,
inference(avatar_split_clause,[],[f145,f242]) ).
fof(f145,plain,
aVector0(xp),
inference(cnf_transformation,[],[f67]) ).
fof(f240,plain,
spl5_1,
inference(avatar_split_clause,[],[f141,f237]) ).
fof(f141,plain,
aVector0(xq),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:44:55 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3243)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (3246)WARNING: value z3 for option sas not known
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (3245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (3247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (3248)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)
% 0.15/0.39 % (3249)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)
% 0.15/0.39 % (3246)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)
% 0.15/0.39 % (3250)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)
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.49 TRYING [4]
% 0.22/0.49 TRYING [4]
% 2.00/0.65 TRYING [5]
% 2.00/0.68 TRYING [5]
% 5.22/1.14 TRYING [6]
% 5.83/1.21 TRYING [6]
% 7.93/1.50 TRYING [1]
% 7.93/1.50 TRYING [2]
% 7.93/1.51 TRYING [3]
% 8.28/1.56 TRYING [4]
% 9.36/1.78 TRYING [5]
% 10.15/1.81 % (3248)First to succeed.
% 10.26/1.87 % (3248)Refutation found. Thanks to Tanya!
% 10.26/1.87 % SZS status Theorem for theBenchmark
% 10.26/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 10.26/1.90 % (3248)------------------------------
% 10.26/1.90 % (3248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.26/1.90 % (3248)Termination reason: Refutation
% 10.26/1.90
% 10.26/1.90 % (3248)Memory used [KB]: 23968
% 10.26/1.90 % (3248)Time elapsed: 1.471 s
% 10.26/1.90 % (3248)Instructions burned: 3171 (million)
% 10.26/1.90 % (3248)------------------------------
% 10.26/1.90 % (3248)------------------------------
% 10.26/1.90 % (3243)Success in time 1.523 s
%------------------------------------------------------------------------------